TSTP Solution File: NUM561+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM561+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 11:45:00 EDT 2023

% Result   : Theorem 109.42s 105.89s
% Output   : Proof 109.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM561+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % 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 16:47:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 109.42/105.89  
% 109.42/105.89  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 109.42/105.89  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 109.42/105.89  %-----------------------------------------------------
% 109.42/105.89  ncf(matrix, plain, [(1450 ^ _164301) ^ [] : [aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))], (126 ^ _164301) ^ [_168350, _168352, _168354, _168356] : [-(sdtpldt0(_168356, _168352) = sdtpldt0(_168354, _168350)), _168356 = _168354, _168352 = _168350], (136 ^ _164301) ^ [_168709, _168711, _168713, _168715] : [-(sdtmndt0(_168715, _168711) = sdtmndt0(_168713, _168709)), _168715 = _168713, _168711 = _168709], (146 ^ _164301) ^ [_169040, _169042] : [_169042 = _169040, -(szmzazxdt0(_169042) = szmzazxdt0(_169040))], (152 ^ _164301) ^ [_169258, _169260] : [_169260 = _169258, -(szmzizndt0(_169260) = szmzizndt0(_169258))], (158 ^ _164301) ^ [_169476, _169478] : [_169478 = _169476, -(szszuzczcdt0(_169478) = szszuzczcdt0(_169476))], (164 ^ _164301) ^ [_169694, _169696] : [_169696 = _169694, -(slbdtrb0(_169696) = slbdtrb0(_169694))], (170 ^ _164301) ^ [_169912, _169914] : [_169914 = _169912, -(sbrdtbr0(_169914) = sbrdtbr0(_169912))], (176 ^ _164301) ^ [_170158, _170160, _170162, _170164] : [-(slbdtsldtrb0(_170164, _170160) = slbdtsldtrb0(_170162, _170158)), _170164 = _170162, _170160 = _170158], (186 ^ _164301) ^ [_170517, _170519, _170521, _170523] : [-(sdtlbdtrb0(_170523, _170519) = sdtlbdtrb0(_170521, _170517)), _170523 = _170521, _170519 = _170517], (196 ^ _164301) ^ [_170876, _170878, _170880, _170882] : [-(sdtlpdtrp0(_170882, _170878) = sdtlpdtrp0(_170880, _170876)), _170882 = _170880, _170878 = _170876], (216 ^ _164301) ^ [_171546, _171548] : [_171548 = _171546, -(szDzozmdt0(_171548) = szDzozmdt0(_171546))], (206 ^ _164301) ^ [_171235, _171237, _171239, _171241] : [-(sdtlcdtrc0(_171241, _171237) = sdtlcdtrc0(_171239, _171235)), _171241 = _171239, _171237 = _171235], (2 ^ _164301) ^ [_164445] : [-(_164445 = _164445)], (4 ^ _164301) ^ [_164552, _164554] : [_164554 = _164552, -(_164552 = _164554)], (10 ^ _164301) ^ [_164756, _164758, _164760] : [-(_164760 = _164756), _164760 = _164758, _164758 = _164756], (20 ^ _164301) ^ [_165097, _165099, _165101, _165103] : [-(iLess0(_165101, _165097)), iLess0(_165103, _165099), _165103 = _165101, _165099 = _165097], (34 ^ _164301) ^ [_165541, _165543, _165545, _165547] : [-(sdtlseqdt0(_165545, _165541)), sdtlseqdt0(_165547, _165543), _165547 = _165545, _165543 = _165541], (48 ^ _164301) ^ [_165957, _165959] : [-(isCountable0(_165957)), _165959 = _165957, isCountable0(_165959)], (58 ^ _164301) ^ [_166252, _166254] : [-(isFinite0(_166252)), _166254 = _166252, isFinite0(_166254)], (68 ^ _164301) ^ [_166547, _166549] : [-(aElement0(_166547)), _166549 = _166547, aElement0(_166549)], (78 ^ _164301) ^ [_166870, _166872, _166874, _166876] : [-(aSubsetOf0(_166874, _166870)), aSubsetOf0(_166876, _166872), _166876 = _166874, _166872 = _166870], (92 ^ _164301) ^ [_167286, _167288] : [-(aSet0(_167286)), _167288 = _167286, aSet0(_167288)], (102 ^ _164301) ^ [_167581, _167583] : [-(aFunction0(_167581)), _167583 = _167581, aFunction0(_167583)], (112 ^ _164301) ^ [_167884, _167886, _167888, _167890] : [-(aElementOf0(_167888, _167884)), aElementOf0(_167890, _167886), _167890 = _167888, _167886 = _167884], (222 ^ _164301) ^ [_171828] : [aSet0(_171828), true___, -(true___)], (232 ^ _164301) ^ [_172083] : [aElement0(_172083), true___, -(true___)], (242 ^ _164301) ^ [_172338] : [aSet0(_172338), 245 ^ _164301 : [(246 ^ _164301) ^ [_172468] : [aElementOf0(_172468, _172338), -(aElement0(_172468))]]], (252 ^ _164301) ^ [_172669] : [aSet0(_172669), isFinite0(_172669), true___, -(true___)], (266 ^ _164301) ^ [_173039] : [_173039 = slcrc0, 269 ^ _164301 : [(270 ^ _164301) ^ [] : [-(aSet0(_173039))], (272 ^ _164301) ^ [_173220] : [aElementOf0(_173220, _173039)]]], (274 ^ _164301) ^ [_173288] : [-(_173288 = slcrc0), aSet0(_173288), -(aElementOf0(279 ^ [_173288], _173288))], (285 ^ _164301) ^ [] : [-(isFinite0(slcrc0))], (287 ^ _164301) ^ [_173670] : [aSet0(_173670), isCountable0(_173670), true___, -(true___)], (301 ^ _164301) ^ [_174011] : [isFinite0(_174011), aSet0(_174011), isCountable0(_174011)], (311 ^ _164301) ^ [_174281] : [_174281 = slcrc0, aSet0(_174281), isCountable0(_174281)], (321 ^ _164301) ^ [_174553] : [aSet0(_174553), 324 ^ _164301 : [(325 ^ _164301) ^ [_174729] : [aSubsetOf0(_174729, _174553), 328 ^ _164301 : [(329 ^ _164301) ^ [] : [-(aSet0(_174729))], (331 ^ _164301) ^ [_174938] : [aElementOf0(_174938, _174729), -(aElementOf0(_174938, _174553))]]], (337 ^ _164301) ^ [_175117] : [-(aSubsetOf0(_175117, _174553)), aSet0(_175117), 343 ^ _164301 : [(344 ^ _164301) ^ [] : [-(aElementOf0(342 ^ [_174553, _175117], _175117))], (346 ^ _164301) ^ [] : [aElementOf0(342 ^ [_174553, _175117], _174553)]]]]], (350 ^ _164301) ^ [_175554] : [aSet0(_175554), isFinite0(_175554), 357 ^ _164301 : [(358 ^ _164301) ^ [_175767] : [aSubsetOf0(_175767, _175554), -(isFinite0(_175767))]]], (364 ^ _164301) ^ [_175970] : [aSet0(_175970), -(aSubsetOf0(_175970, _175970))], (370 ^ _164301) ^ [_176172, _176174] : [aSet0(_176174), aSet0(_176172), -(_176174 = _176172), aSubsetOf0(_176174, _176172), aSubsetOf0(_176172, _176174)], (388 ^ _164301) ^ [_176661, _176663, _176665] : [aSet0(_176665), aSet0(_176663), aSet0(_176661), -(aSubsetOf0(_176665, _176661)), aSubsetOf0(_176665, _176663), aSubsetOf0(_176663, _176661)], (410 ^ _164301) ^ [_177247, _177249] : [aSet0(_177249), aElement0(_177247), 417 ^ _164301 : [(448 ^ _164301) ^ [_178508] : [-(_178508 = sdtpldt0(_177249, _177247)), aSet0(_178508), 456 ^ _164301 : [(457 ^ _164301) ^ [] : [-(aElementOf0(453 ^ [_177247, _177249, _178508], _178508))], (459 ^ _164301) ^ [] : [aElement0(453 ^ [_177247, _177249, _178508]), 462 ^ _164301 : [(463 ^ _164301) ^ [] : [aElementOf0(453 ^ [_177247, _177249, _178508], _177249)], (465 ^ _164301) ^ [] : [453 ^ [_177247, _177249, _178508] = _177247]]]], 466 ^ _164301 : [(475 ^ _164301) ^ [] : [aElementOf0(453 ^ [_177247, _177249, _178508], _178508)], (467 ^ _164301) ^ [] : [-(aElement0(453 ^ [_177247, _177249, _178508]))], (469 ^ _164301) ^ [] : [-(aElementOf0(453 ^ [_177247, _177249, _178508], _177249)), -(453 ^ [_177247, _177249, _178508] = _177247)]]], (418 ^ _164301) ^ [_177528] : [_177528 = sdtpldt0(_177249, _177247), 421 ^ _164301 : [(422 ^ _164301) ^ [] : [-(aSet0(_177528))], (424 ^ _164301) ^ [_177791] : [aElementOf0(_177791, _177528), 427 ^ _164301 : [(428 ^ _164301) ^ [] : [-(aElement0(_177791))], (430 ^ _164301) ^ [] : [-(aElementOf0(_177791, _177249)), -(_177791 = _177247)]]], (436 ^ _164301) ^ [_178146] : [-(aElementOf0(_178146, _177528)), aElement0(_178146), 441 ^ _164301 : [(442 ^ _164301) ^ [] : [aElementOf0(_178146, _177249)], (444 ^ _164301) ^ [] : [_178146 = _177247]]]]]]], (479 ^ _164301) ^ [_179545, _179547] : [aSet0(_179547), aElement0(_179545), 486 ^ _164301 : [(517 ^ _164301) ^ [_180813] : [-(_180813 = sdtmndt0(_179547, _179545)), aSet0(_180813), 537 ^ _164301 : [(538 ^ _164301) ^ [] : [-(aElement0(522 ^ [_179545, _179547, _180813]))], (540 ^ _164301) ^ [] : [-(aElementOf0(522 ^ [_179545, _179547, _180813], _179547))], (542 ^ _164301) ^ [] : [522 ^ [_179545, _179547, _180813] = _179545], (544 ^ _164301) ^ [] : [aElementOf0(522 ^ [_179545, _179547, _180813], _180813)]], 525 ^ _164301 : [(526 ^ _164301) ^ [] : [-(aElementOf0(522 ^ [_179545, _179547, _180813], _180813))], (528 ^ _164301) ^ [] : [aElement0(522 ^ [_179545, _179547, _180813]), aElementOf0(522 ^ [_179545, _179547, _180813], _179547), -(522 ^ [_179545, _179547, _180813] = _179545)]]], (487 ^ _164301) ^ [_179828] : [_179828 = sdtmndt0(_179547, _179545), 490 ^ _164301 : [(491 ^ _164301) ^ [] : [-(aSet0(_179828))], (493 ^ _164301) ^ [_180093] : [aElementOf0(_180093, _179828), 496 ^ _164301 : [(497 ^ _164301) ^ [] : [-(aElement0(_180093))], (499 ^ _164301) ^ [] : [-(aElementOf0(_180093, _179547))], (501 ^ _164301) ^ [] : [_180093 = _179545]]], (503 ^ _164301) ^ [_180429] : [-(aElementOf0(_180429, _179828)), aElement0(_180429), aElementOf0(_180429, _179547), -(_180429 = _179545)]]]]], (548 ^ _164301) ^ [_181843] : [aSet0(_181843), 551 ^ _164301 : [(552 ^ _164301) ^ [_181980] : [aElementOf0(_181980, _181843), -(sdtpldt0(sdtmndt0(_181843, _181980), _181980) = _181843)]]], (558 ^ _164301) ^ [_182209, _182211] : [aElement0(_182211), aSet0(_182209), -(aElementOf0(_182211, _182209)), -(sdtmndt0(sdtpldt0(_182209, _182211), _182211) = _182209)], (572 ^ _164301) ^ [_182596] : [aElement0(_182596), 575 ^ _164301 : [(576 ^ _164301) ^ [_182733] : [-(isCountable0(sdtpldt0(_182733, _182596))), aSet0(_182733), isCountable0(_182733)]]], (586 ^ _164301) ^ [_183025] : [aElement0(_183025), 589 ^ _164301 : [(590 ^ _164301) ^ [_183162] : [-(isCountable0(sdtmndt0(_183162, _183025))), aSet0(_183162), isCountable0(_183162)]]], (600 ^ _164301) ^ [_183454] : [aElement0(_183454), 603 ^ _164301 : [(604 ^ _164301) ^ [_183591] : [-(isFinite0(sdtpldt0(_183591, _183454))), aSet0(_183591), isFinite0(_183591)]]], (614 ^ _164301) ^ [_183883] : [aElement0(_183883), 617 ^ _164301 : [(618 ^ _164301) ^ [_184020] : [-(isFinite0(sdtmndt0(_184020, _183883))), aSet0(_184020), isFinite0(_184020)]]], (628 ^ _164301) ^ [] : [-(aSet0(szNzAzT0))], (630 ^ _164301) ^ [] : [-(isCountable0(szNzAzT0))], (632 ^ _164301) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (634 ^ _164301) ^ [_184473] : [aElementOf0(_184473, szNzAzT0), 637 ^ _164301 : [(638 ^ _164301) ^ [] : [-(aElementOf0(szszuzczcdt0(_184473), szNzAzT0))], (640 ^ _164301) ^ [] : [szszuzczcdt0(_184473) = sz00]]], (642 ^ _164301) ^ [_184759, _184761] : [aElementOf0(_184761, szNzAzT0), aElementOf0(_184759, szNzAzT0), szszuzczcdt0(_184761) = szszuzczcdt0(_184759), -(_184761 = _184759)], (656 ^ _164301) ^ [_185143] : [aElementOf0(_185143, szNzAzT0), -(_185143 = sz00), 664 ^ _164301 : [(665 ^ _164301) ^ [] : [-(aElementOf0(663 ^ [_185143], szNzAzT0))], (667 ^ _164301) ^ [] : [-(_185143 = szszuzczcdt0(663 ^ [_185143]))]]], (669 ^ _164301) ^ [_185560] : [aElementOf0(_185560, szNzAzT0), _185560 = szszuzczcdt0(_185560)], (675 ^ _164301) ^ [_185769, _185771] : [aElementOf0(_185771, szNzAzT0), aElementOf0(_185769, szNzAzT0), sdtlseqdt0(_185771, _185769), true___, -(true___)], (693 ^ _164301) ^ [_186219] : [aElementOf0(_186219, szNzAzT0), -(sdtlseqdt0(sz00, _186219))], (699 ^ _164301) ^ [_186409] : [aElementOf0(_186409, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_186409), sz00)], (705 ^ _164301) ^ [_186618, _186620] : [aElementOf0(_186620, szNzAzT0), aElementOf0(_186618, szNzAzT0), 712 ^ _164301 : [(713 ^ _164301) ^ [] : [sdtlseqdt0(_186620, _186618), -(sdtlseqdt0(szszuzczcdt0(_186620), szszuzczcdt0(_186618)))], (719 ^ _164301) ^ [] : [sdtlseqdt0(szszuzczcdt0(_186620), szszuzczcdt0(_186618)), -(sdtlseqdt0(_186620, _186618))]]], (725 ^ _164301) ^ [_187167] : [aElementOf0(_187167, szNzAzT0), -(sdtlseqdt0(_187167, szszuzczcdt0(_187167)))], (731 ^ _164301) ^ [_187361] : [aElementOf0(_187361, szNzAzT0), -(sdtlseqdt0(_187361, _187361))], (737 ^ _164301) ^ [_187565, _187567] : [aElementOf0(_187567, szNzAzT0), aElementOf0(_187565, szNzAzT0), -(_187567 = _187565), sdtlseqdt0(_187567, _187565), sdtlseqdt0(_187565, _187567)], (755 ^ _164301) ^ [_188058, _188060, _188062] : [aElementOf0(_188062, szNzAzT0), aElementOf0(_188060, szNzAzT0), aElementOf0(_188058, szNzAzT0), -(sdtlseqdt0(_188062, _188058)), sdtlseqdt0(_188062, _188060), sdtlseqdt0(_188060, _188058)], (777 ^ _164301) ^ [_188650, _188652] : [aElementOf0(_188652, szNzAzT0), aElementOf0(_188650, szNzAzT0), -(sdtlseqdt0(_188652, _188650)), -(sdtlseqdt0(szszuzczcdt0(_188650), _188652))], (791 ^ _164301) ^ [_189045, _189047] : [aElementOf0(_189047, szNzAzT0), aElementOf0(_189045, szNzAzT0), iLess0(_189047, _189045), true___, -(true___)], (809 ^ _164301) ^ [_189495] : [aElementOf0(_189495, szNzAzT0), -(iLess0(_189495, szszuzczcdt0(_189495)))], (815 ^ _164301) ^ [_189689] : [aSet0(_189689), -(aElement0(sbrdtbr0(_189689)))], (821 ^ _164301) ^ [_189879] : [aSet0(_189879), 824 ^ _164301 : [(825 ^ _164301) ^ [] : [aElementOf0(sbrdtbr0(_189879), szNzAzT0), -(isFinite0(_189879))], (831 ^ _164301) ^ [] : [isFinite0(_189879), -(aElementOf0(sbrdtbr0(_189879), szNzAzT0))]]], (837 ^ _164301) ^ [_190310] : [aSet0(_190310), 840 ^ _164301 : [(841 ^ _164301) ^ [] : [sbrdtbr0(_190310) = sz00, -(_190310 = slcrc0)], (847 ^ _164301) ^ [] : [_190310 = slcrc0, -(sbrdtbr0(_190310) = sz00)]]], (853 ^ _164301) ^ [_190744] : [aSet0(_190744), isFinite0(_190744), 860 ^ _164301 : [(861 ^ _164301) ^ [_190974] : [aElement0(_190974), -(aElementOf0(_190974, _190744)), -(sbrdtbr0(sdtpldt0(_190744, _190974)) = szszuzczcdt0(sbrdtbr0(_190744)))]]], (871 ^ _164301) ^ [_191287] : [aSet0(_191287), 874 ^ _164301 : [(875 ^ _164301) ^ [_191432] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_191287, _191432))) = sbrdtbr0(_191287)), isFinite0(_191287), aElementOf0(_191432, _191287)]]], (885 ^ _164301) ^ [_191740] : [aSet0(_191740), 888 ^ _164301 : [(889 ^ _164301) ^ [_191880] : [-(sdtlseqdt0(sbrdtbr0(_191880), sbrdtbr0(_191740))), isFinite0(_191740), aSubsetOf0(_191880, _191740)]]], (899 ^ _164301) ^ [_192192, _192194] : [aSet0(_192194), aElementOf0(_192192, szNzAzT0), 915 ^ _164301 : [(916 ^ _164301) ^ [] : [-(aSubsetOf0(914 ^ [_192192, _192194], _192194))], (918 ^ _164301) ^ [] : [-(sbrdtbr0(914 ^ [_192192, _192194]) = _192192)]], isFinite0(_192194), sdtlseqdt0(_192192, sbrdtbr0(_192194))], (920 ^ _164301) ^ [_192808] : [aSubsetOf0(_192808, szNzAzT0), -(_192808 = slcrc0), 927 ^ _164301 : [(928 ^ _164301) ^ [_193077] : [_193077 = szmzizndt0(_192808), 931 ^ _164301 : [(932 ^ _164301) ^ [] : [-(aElementOf0(_193077, _192808))], (934 ^ _164301) ^ [_193292] : [aElementOf0(_193292, _192808), -(sdtlseqdt0(_193077, _193292))]]], (940 ^ _164301) ^ [_193471] : [-(_193471 = szmzizndt0(_192808)), aElementOf0(_193471, _192808), 946 ^ _164301 : [(947 ^ _164301) ^ [] : [-(aElementOf0(945 ^ [_192808, _193471], _192808))], (949 ^ _164301) ^ [] : [sdtlseqdt0(_193471, 945 ^ [_192808, _193471])]]]]], (953 ^ _164301) ^ [_193916] : [aSubsetOf0(_193916, szNzAzT0), isFinite0(_193916), -(_193916 = slcrc0), 964 ^ _164301 : [(965 ^ _164301) ^ [_194268] : [_194268 = szmzazxdt0(_193916), 968 ^ _164301 : [(969 ^ _164301) ^ [] : [-(aElementOf0(_194268, _193916))], (971 ^ _164301) ^ [_194483] : [aElementOf0(_194483, _193916), -(sdtlseqdt0(_194483, _194268))]]], (977 ^ _164301) ^ [_194662] : [-(_194662 = szmzazxdt0(_193916)), aElementOf0(_194662, _193916), 983 ^ _164301 : [(984 ^ _164301) ^ [] : [-(aElementOf0(982 ^ [_193916, _194662], _193916))], (986 ^ _164301) ^ [] : [sdtlseqdt0(982 ^ [_193916, _194662], _194662)]]]]], (990 ^ _164301) ^ [_195123, _195125] : [-(szmzizndt0(_195125) = szmzizndt0(_195123)), aElementOf0(szmzizndt0(_195125), _195123), aElementOf0(szmzizndt0(_195123), _195125), aSubsetOf0(_195125, szNzAzT0), aSubsetOf0(_195123, szNzAzT0), -(_195125 = slcrc0), -(_195123 = slcrc0)], (1016 ^ _164301) ^ [_195790] : [aElementOf0(_195790, szNzAzT0), 1019 ^ _164301 : [(1044 ^ _164301) ^ [_196759] : [-(_196759 = slbdtrb0(_195790)), aSet0(_196759), 1060 ^ _164301 : [(1061 ^ _164301) ^ [] : [-(aElementOf0(1049 ^ [_195790, _196759], szNzAzT0))], (1063 ^ _164301) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1049 ^ [_195790, _196759]), _195790))], (1065 ^ _164301) ^ [] : [aElementOf0(1049 ^ [_195790, _196759], _196759)]], 1052 ^ _164301 : [(1053 ^ _164301) ^ [] : [-(aElementOf0(1049 ^ [_195790, _196759], _196759))], (1055 ^ _164301) ^ [] : [aElementOf0(1049 ^ [_195790, _196759], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1049 ^ [_195790, _196759]), _195790)]]], (1020 ^ _164301) ^ [_195978] : [_195978 = slbdtrb0(_195790), 1023 ^ _164301 : [(1024 ^ _164301) ^ [] : [-(aSet0(_195978))], (1026 ^ _164301) ^ [_196228] : [aElementOf0(_196228, _195978), 1029 ^ _164301 : [(1030 ^ _164301) ^ [] : [-(aElementOf0(_196228, szNzAzT0))], (1032 ^ _164301) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_196228), _195790))]]], (1034 ^ _164301) ^ [_196481] : [-(aElementOf0(_196481, _195978)), aElementOf0(_196481, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_196481), _195790)]]]]], (1069 ^ _164301) ^ [_197562] : [aElementOf0(_197562, szNzAzT0), -(isFinite0(slbdtrb0(_197562)))], (1075 ^ _164301) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1077 ^ _164301) ^ [_197821, _197823] : [aElementOf0(_197823, szNzAzT0), aElementOf0(_197821, szNzAzT0), 1084 ^ _164301 : [(1095 ^ _164301) ^ [] : [1096 ^ _164301 : [(1097 ^ _164301) ^ [] : [aElementOf0(_197823, slbdtrb0(_197821))], (1099 ^ _164301) ^ [] : [_197823 = _197821]], -(aElementOf0(_197823, slbdtrb0(szszuzczcdt0(_197821))))], (1085 ^ _164301) ^ [] : [aElementOf0(_197823, slbdtrb0(szszuzczcdt0(_197821))), -(aElementOf0(_197823, slbdtrb0(_197821))), -(_197823 = _197821)]]], (1103 ^ _164301) ^ [_198548, _198550] : [aElementOf0(_198550, szNzAzT0), aElementOf0(_198548, szNzAzT0), 1110 ^ _164301 : [(1111 ^ _164301) ^ [] : [sdtlseqdt0(_198550, _198548), -(aSubsetOf0(slbdtrb0(_198550), slbdtrb0(_198548)))], (1117 ^ _164301) ^ [] : [aSubsetOf0(slbdtrb0(_198550), slbdtrb0(_198548)), -(sdtlseqdt0(_198550, _198548))]]], (1123 ^ _164301) ^ [_199097] : [1131 ^ _164301 : [(1132 ^ _164301) ^ [] : [-(aElementOf0(1130 ^ [_199097], szNzAzT0))], (1134 ^ _164301) ^ [] : [-(aSubsetOf0(_199097, slbdtrb0(1130 ^ [_199097])))]], aSubsetOf0(_199097, szNzAzT0), isFinite0(_199097)], (1136 ^ _164301) ^ [_199511] : [aElementOf0(_199511, szNzAzT0), -(sbrdtbr0(slbdtrb0(_199511)) = _199511)], (1142 ^ _164301) ^ [_199723, _199725] : [aSet0(_199725), aElementOf0(_199723, szNzAzT0), 1149 ^ _164301 : [(1174 ^ _164301) ^ [_200816] : [-(_200816 = slbdtsldtrb0(_199725, _199723)), aSet0(_200816), 1190 ^ _164301 : [(1191 ^ _164301) ^ [] : [-(aSubsetOf0(1179 ^ [_199723, _199725, _200816], _199725))], (1193 ^ _164301) ^ [] : [-(sbrdtbr0(1179 ^ [_199723, _199725, _200816]) = _199723)], (1195 ^ _164301) ^ [] : [aElementOf0(1179 ^ [_199723, _199725, _200816], _200816)]], 1182 ^ _164301 : [(1183 ^ _164301) ^ [] : [-(aElementOf0(1179 ^ [_199723, _199725, _200816], _200816))], (1185 ^ _164301) ^ [] : [aSubsetOf0(1179 ^ [_199723, _199725, _200816], _199725), sbrdtbr0(1179 ^ [_199723, _199725, _200816]) = _199723]]], (1150 ^ _164301) ^ [_200003] : [_200003 = slbdtsldtrb0(_199725, _199723), 1153 ^ _164301 : [(1154 ^ _164301) ^ [] : [-(aSet0(_200003))], (1156 ^ _164301) ^ [_200263] : [aElementOf0(_200263, _200003), 1159 ^ _164301 : [(1160 ^ _164301) ^ [] : [-(aSubsetOf0(_200263, _199725))], (1162 ^ _164301) ^ [] : [-(sbrdtbr0(_200263) = _199723)]]], (1164 ^ _164301) ^ [_200526] : [-(aElementOf0(_200526, _200003)), aSubsetOf0(_200526, _199725), sbrdtbr0(_200526) = _199723]]]]], (1199 ^ _164301) ^ [_201665] : [aSet0(_201665), isFinite0(_201665), 1206 ^ _164301 : [(1207 ^ _164301) ^ [_201881] : [aElementOf0(_201881, szNzAzT0), -(isFinite0(slbdtsldtrb0(_201665, _201881)))]]], (1213 ^ _164301) ^ [_202090] : [aSet0(_202090), -(isFinite0(_202090)), 1220 ^ _164301 : [(1221 ^ _164301) ^ [_202312] : [aElementOf0(_202312, szNzAzT0), slbdtsldtrb0(_202090, _202312) = slcrc0]]], (1227 ^ _164301) ^ [_202524] : [aSet0(_202524), isCountable0(_202524), 1234 ^ _164301 : [(1235 ^ _164301) ^ [_202748] : [-(isCountable0(slbdtsldtrb0(_202524, _202748))), aElementOf0(_202748, szNzAzT0), -(_202748 = sz00)]]], (1245 ^ _164301) ^ [_203049] : [aElementOf0(_203049, szNzAzT0), 1248 ^ _164301 : [(1249 ^ _164301) ^ [_203236, _203238] : [aSet0(_203238), aSet0(_203236), -(_203049 = sz00), -(aSubsetOf0(_203238, _203236)), aSubsetOf0(slbdtsldtrb0(_203238, _203049), slbdtsldtrb0(_203236, _203049)), -(slbdtsldtrb0(_203238, _203049) = slcrc0)]]], (1271 ^ _164301) ^ [_203855, _203857] : [aSet0(_203857), aElementOf0(_203855, szNzAzT0), 1278 ^ _164301 : [(1279 ^ _164301) ^ [_204106] : [1287 ^ _164301 : [(1288 ^ _164301) ^ [] : [-(aSubsetOf0(1286 ^ [_203855, _203857, _204106], _203857))], (1290 ^ _164301) ^ [] : [-(isFinite0(1286 ^ [_203855, _203857, _204106]))], (1292 ^ _164301) ^ [] : [-(aSubsetOf0(_204106, slbdtsldtrb0(1286 ^ [_203855, _203857, _204106], _203855)))]], aSubsetOf0(_204106, slbdtsldtrb0(_203857, _203855)), isFinite0(_204106)]]], (1294 ^ _164301) ^ [_204668] : [aFunction0(_204668), true___, -(true___)], (1304 ^ _164301) ^ [_204923] : [aFunction0(_204923), -(aSet0(szDzozmdt0(_204923)))], (1310 ^ _164301) ^ [_205113] : [aFunction0(_205113), 1313 ^ _164301 : [(1314 ^ _164301) ^ [_205248] : [aElementOf0(_205248, szDzozmdt0(_205113)), -(aElement0(sdtlpdtrp0(_205113, _205248)))]]], (1320 ^ _164301) ^ [_205473, _205475] : [aFunction0(_205475), aElement0(_205473), 1327 ^ _164301 : [(1352 ^ _164301) ^ [_206582] : [-(_206582 = sdtlbdtrb0(_205475, _205473)), aSet0(_206582), 1368 ^ _164301 : [(1369 ^ _164301) ^ [] : [-(aElementOf0(1357 ^ [_205473, _205475, _206582], szDzozmdt0(_205475)))], (1371 ^ _164301) ^ [] : [-(sdtlpdtrp0(_205475, 1357 ^ [_205473, _205475, _206582]) = _205473)], (1373 ^ _164301) ^ [] : [aElementOf0(1357 ^ [_205473, _205475, _206582], _206582)]], 1360 ^ _164301 : [(1361 ^ _164301) ^ [] : [-(aElementOf0(1357 ^ [_205473, _205475, _206582], _206582))], (1363 ^ _164301) ^ [] : [aElementOf0(1357 ^ [_205473, _205475, _206582], szDzozmdt0(_205475)), sdtlpdtrp0(_205475, 1357 ^ [_205473, _205475, _206582]) = _205473]]], (1328 ^ _164301) ^ [_205754] : [_205754 = sdtlbdtrb0(_205475, _205473), 1331 ^ _164301 : [(1332 ^ _164301) ^ [] : [-(aSet0(_205754))], (1334 ^ _164301) ^ [_206017] : [aElementOf0(_206017, _205754), 1337 ^ _164301 : [(1338 ^ _164301) ^ [] : [-(aElementOf0(_206017, szDzozmdt0(_205475)))], (1340 ^ _164301) ^ [] : [-(sdtlpdtrp0(_205475, _206017) = _205473)]]], (1342 ^ _164301) ^ [_206286] : [-(aElementOf0(_206286, _205754)), aElementOf0(_206286, szDzozmdt0(_205475)), sdtlpdtrp0(_205475, _206286) = _205473]]]]], (1377 ^ _164301) ^ [_207457, _207459] : [-(aSubsetOf0(sdtlbdtrb0(_207459, _207457), szDzozmdt0(_207459))), aFunction0(_207459), aElement0(_207457)], (1446 ^ _164301) ^ [] : [-(aFunction0(xF))], (1448 ^ _164301) ^ [] : [-(aElementOf0(xx, szDzozmdt0(xF)))], (1387 ^ _164301) ^ [_207748] : [aFunction0(_207748), 1390 ^ _164301 : [(1391 ^ _164301) ^ [_207925] : [aSubsetOf0(_207925, szDzozmdt0(_207748)), 1394 ^ _164301 : [(1420 ^ _164301) ^ [_209112] : [-(_209112 = sdtlcdtrc0(_207748, _207925)), aSet0(_209112), 1437 ^ _164301 : [(1438 ^ _164301) ^ [] : [-(aElementOf0(1436 ^ [_207748, _207925, _209112], _207925))], (1440 ^ _164301) ^ [] : [-(sdtlpdtrp0(_207748, 1436 ^ [_207748, _207925, _209112]) = 1425 ^ [_207748, _207925, _209112])], (1442 ^ _164301) ^ [] : [aElementOf0(1425 ^ [_207748, _207925, _209112], _209112)]], 1428 ^ _164301 : [(1429 ^ _164301) ^ [] : [-(aElementOf0(1425 ^ [_207748, _207925, _209112], _209112))], (1431 ^ _164301) ^ [_209505] : [aElementOf0(_209505, _207925), sdtlpdtrp0(_207748, _209505) = 1425 ^ [_207748, _207925, _209112]]]], (1395 ^ _164301) ^ [_208130] : [_208130 = sdtlcdtrc0(_207748, _207925), 1398 ^ _164301 : [(1399 ^ _164301) ^ [] : [-(aSet0(_208130))], (1401 ^ _164301) ^ [_208396] : [aElementOf0(_208396, _208130), 1405 ^ _164301 : [(1406 ^ _164301) ^ [] : [-(aElementOf0(1404 ^ [_207748, _207925, _208130, _208396], _207925))], (1408 ^ _164301) ^ [] : [-(sdtlpdtrp0(_207748, 1404 ^ [_207748, _207925, _208130, _208396]) = _208396)]]], (1410 ^ _164301) ^ [_208750] : [-(aElementOf0(_208750, _208130)), 1411 ^ _164301 : [(1412 ^ _164301) ^ [_208855] : [aElementOf0(_208855, _207925), sdtlpdtrp0(_207748, _208855) = _208750]]]]]]]]]], input).
% 109.42/105.89  ncf('1',plain,[aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))],start(1450 ^ 0)).
% 109.42/105.89  ncf('1.1',plain,[-(aElementOf0(sdtlpdtrp0(xF, xx), sdtlcdtrc0(xF, szDzozmdt0(xF)))), 1412 : aElementOf0(xx, szDzozmdt0(xF)), 1412 : sdtlpdtrp0(xF, xx) = sdtlpdtrp0(xF, xx), 1410 : sdtlcdtrc0(xF, szDzozmdt0(xF)) = sdtlcdtrc0(xF, szDzozmdt0(xF)), 1395 : aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF)), 1391 : aFunction0(xF)],extension(1387 ^ 1,bind([[_207748, _207925, _208130, _208750, _208855], [xF, szDzozmdt0(xF), sdtlcdtrc0(xF, szDzozmdt0(xF)), sdtlpdtrp0(xF, xx), xx]]))).
% 109.42/105.89  ncf('1.1.1',plain,[-(aElementOf0(xx, szDzozmdt0(xF))), aElementOf0(xx, szDzozmdt0(xF)), xx = xx, szDzozmdt0(xF) = szDzozmdt0(xF)],extension(112 ^ 10,bind([[_167884, _167886, _167888, _167890], [szDzozmdt0(xF), szDzozmdt0(xF), xx, xx]]))).
% 109.42/105.89  ncf('1.1.1.1',plain,[-(aElementOf0(xx, szDzozmdt0(xF)))],extension(1448 ^ 11)).
% 109.42/105.89  ncf('1.1.1.2',plain,[-(xx = xx)],extension(2 ^ 11,bind([[_164445], [xx]]))).
% 109.42/105.89  ncf('1.1.1.3',plain,[-(szDzozmdt0(xF) = szDzozmdt0(xF))],extension(2 ^ 11,bind([[_164445], [szDzozmdt0(xF)]]))).
% 109.42/105.89  ncf('1.1.2',plain,[-(sdtlpdtrp0(xF, xx) = sdtlpdtrp0(xF, xx)), xF = xF, xx = xx],extension(196 ^ 10,bind([[_170876, _170878, _170880, _170882], [xx, xx, xF, xF]]))).
% 109.42/105.89  ncf('1.1.2.1',plain,[-(xF = xF)],extension(2 ^ 11,bind([[_164445], [xF]]))).
% 109.42/105.89  ncf('1.1.2.2',plain,[-(xx = xx)],extension(2 ^ 11,bind([[_164445], [xx]]))).
% 109.42/105.89  ncf('1.1.3',plain,[-(sdtlcdtrc0(xF, szDzozmdt0(xF)) = sdtlcdtrc0(xF, szDzozmdt0(xF))), xF = xF, szDzozmdt0(xF) = szDzozmdt0(xF)],extension(206 ^ 6,bind([[_171235, _171237, _171239, _171241], [szDzozmdt0(xF), szDzozmdt0(xF), xF, xF]]))).
% 109.42/105.89  ncf('1.1.3.1',plain,[-(xF = xF)],extension(2 ^ 7,bind([[_164445], [xF]]))).
% 109.42/105.89  ncf('1.1.3.2',plain,[-(szDzozmdt0(xF) = szDzozmdt0(xF)), xF = xF],extension(216 ^ 7,bind([[_171546, _171548], [xF, xF]]))).
% 109.42/105.89  ncf('1.1.3.2.1',plain,[-(xF = xF)],lemmata('[1, 1].x')).
% 109.42/105.89  ncf('1.1.4',plain,[-(aSubsetOf0(szDzozmdt0(xF), szDzozmdt0(xF))), 337 : aSet0(szDzozmdt0(xF)), 344 : -(aElementOf0(342 ^ [szDzozmdt0(xF), szDzozmdt0(xF)], szDzozmdt0(xF))), 337 : aSet0(szDzozmdt0(xF))],extension(321 ^ 4,bind([[_174553, _175117], [szDzozmdt0(xF), szDzozmdt0(xF)]]))).
% 109.42/105.89  ncf('1.1.4.1',plain,[-(aSet0(szDzozmdt0(xF))), aFunction0(xF)],extension(1304 ^ 7,bind([[_204923], [xF]]))).
% 109.42/105.89  ncf('1.1.4.1.1',plain,[-(aFunction0(xF))],extension(1446 ^ 8)).
% 109.42/105.89  ncf('1.1.4.2',plain,[aElementOf0(342 ^ [szDzozmdt0(xF), szDzozmdt0(xF)], szDzozmdt0(xF))],extension(346 ^ 9)).
% 109.42/105.89  ncf('1.1.4.3',plain,[-(aSet0(szDzozmdt0(xF))), aFunction0(xF)],extension(1304 ^ 5,bind([[_204923], [xF]]))).
% 109.42/105.89  ncf('1.1.4.3.1',plain,[-(aFunction0(xF))],extension(1446 ^ 6)).
% 109.42/105.89  ncf('1.1.5',plain,[-(aFunction0(xF))],extension(1446 ^ 2)).
% 109.42/105.89  %-----------------------------------------------------
% 109.42/105.89  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------