%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:44:59 EDT 2023

% Result   : Theorem 26.71s 26.16s
% Output   : Proof 26.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM557+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 17:06:12 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 26.71/26.16  
% 26.71/26.16  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 26.71/26.16  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.71/26.16  %-----------------------------------------------------
% 26.71/26.16  ncf(matrix, plain, [(1239 ^ _143810) ^ [] : [aElementOf0(xP, slbdtsldtrb0(xS, xk))], (116 ^ _143810) ^ [_147534, _147536] : [_147536 = _147534, -(szmzazxdt0(_147536) = szmzazxdt0(_147534))], (122 ^ _143810) ^ [_147752, _147754] : [_147754 = _147752, -(szmzizndt0(_147754) = szmzizndt0(_147752))], (128 ^ _143810) ^ [_147970, _147972] : [_147972 = _147970, -(slbdtrb0(_147972) = slbdtrb0(_147970))], (134 ^ _143810) ^ [_148216, _148218, _148220, _148222] : [-(sdtpldt0(_148222, _148218) = sdtpldt0(_148220, _148216)), _148222 = _148220, _148218 = _148216], (144 ^ _143810) ^ [_148547, _148549] : [_148549 = _148547, -(szszuzczcdt0(_148549) = szszuzczcdt0(_148547))], (150 ^ _143810) ^ [_148793, _148795, _148797, _148799] : [-(sdtmndt0(_148799, _148795) = sdtmndt0(_148797, _148793)), _148799 = _148797, _148795 = _148793], (160 ^ _143810) ^ [_149124, _149126] : [_149126 = _149124, -(sbrdtbr0(_149126) = sbrdtbr0(_149124))], (166 ^ _143810) ^ [_149350, _149352, _149354, _149356] : [-(slbdtsldtrb0(_149356, _149352) = slbdtsldtrb0(_149354, _149350)), _149356 = _149354, _149352 = _149350], (2 ^ _143810) ^ [_143954] : [-(_143954 = _143954)], (4 ^ _143810) ^ [_144061, _144063] : [_144063 = _144061, -(_144061 = _144063)], (10 ^ _143810) ^ [_144265, _144267, _144269] : [-(_144269 = _144265), _144269 = _144267, _144267 = _144265], (20 ^ _143810) ^ [_144606, _144608, _144610, _144612] : [-(iLess0(_144610, _144606)), iLess0(_144612, _144608), _144612 = _144610, _144608 = _144606], (34 ^ _143810) ^ [_145050, _145052, _145054, _145056] : [-(sdtlseqdt0(_145054, _145050)), sdtlseqdt0(_145056, _145052), _145056 = _145054, _145052 = _145050], (48 ^ _143810) ^ [_145466, _145468] : [-(isCountable0(_145466)), _145468 = _145466, isCountable0(_145468)], (58 ^ _143810) ^ [_145761, _145763] : [-(aSet0(_145761)), _145763 = _145761, aSet0(_145763)], (68 ^ _143810) ^ [_146056, _146058] : [-(isFinite0(_146056)), _146058 = _146056, isFinite0(_146058)], (78 ^ _143810) ^ [_146351, _146353] : [-(aElement0(_146351)), _146353 = _146351, aElement0(_146353)], (88 ^ _143810) ^ [_146674, _146676, _146678, _146680] : [-(aSubsetOf0(_146678, _146674)), aSubsetOf0(_146680, _146676), _146680 = _146678, _146676 = _146674], (102 ^ _143810) ^ [_147098, _147100, _147102, _147104] : [-(aElementOf0(_147102, _147098)), aElementOf0(_147104, _147100), _147104 = _147102, _147100 = _147098], (176 ^ _143810) ^ [_149697] : [aSet0(_149697), true___, -(true___)], (186 ^ _143810) ^ [_149952] : [aElement0(_149952), true___, -(true___)], (196 ^ _143810) ^ [_150207] : [aSet0(_150207), 199 ^ _143810 : [(200 ^ _143810) ^ [_150337] : [aElementOf0(_150337, _150207), -(aElement0(_150337))]]], (206 ^ _143810) ^ [_150538] : [aSet0(_150538), isFinite0(_150538), true___, -(true___)], (220 ^ _143810) ^ [_150908] : [_150908 = slcrc0, 223 ^ _143810 : [(224 ^ _143810) ^ [] : [-(aSet0(_150908))], (226 ^ _143810) ^ [_151089] : [aElementOf0(_151089, _150908)]]], (228 ^ _143810) ^ [_151157] : [-(_151157 = slcrc0), aSet0(_151157), -(aElementOf0(233 ^ [_151157], _151157))], (239 ^ _143810) ^ [] : [-(isFinite0(slcrc0))], (241 ^ _143810) ^ [_151539] : [aSet0(_151539), isCountable0(_151539), true___, -(true___)], (255 ^ _143810) ^ [_151880] : [isFinite0(_151880), aSet0(_151880), isCountable0(_151880)], (265 ^ _143810) ^ [_152150] : [_152150 = slcrc0, aSet0(_152150), isCountable0(_152150)], (275 ^ _143810) ^ [_152422] : [aSet0(_152422), 278 ^ _143810 : [(279 ^ _143810) ^ [_152598] : [aSubsetOf0(_152598, _152422), 282 ^ _143810 : [(283 ^ _143810) ^ [] : [-(aSet0(_152598))], (285 ^ _143810) ^ [_152807] : [aElementOf0(_152807, _152598), -(aElementOf0(_152807, _152422))]]], (291 ^ _143810) ^ [_152986] : [-(aSubsetOf0(_152986, _152422)), aSet0(_152986), 297 ^ _143810 : [(298 ^ _143810) ^ [] : [-(aElementOf0(296 ^ [_152422, _152986], _152986))], (300 ^ _143810) ^ [] : [aElementOf0(296 ^ [_152422, _152986], _152422)]]]]], (304 ^ _143810) ^ [_153423] : [aSet0(_153423), isFinite0(_153423), 311 ^ _143810 : [(312 ^ _143810) ^ [_153636] : [aSubsetOf0(_153636, _153423), -(isFinite0(_153636))]]], (318 ^ _143810) ^ [_153839] : [aSet0(_153839), -(aSubsetOf0(_153839, _153839))], (324 ^ _143810) ^ [_154041, _154043] : [aSet0(_154043), aSet0(_154041), -(_154043 = _154041), aSubsetOf0(_154043, _154041), aSubsetOf0(_154041, _154043)], (342 ^ _143810) ^ [_154530, _154532, _154534] : [aSet0(_154534), aSet0(_154532), aSet0(_154530), -(aSubsetOf0(_154534, _154530)), aSubsetOf0(_154534, _154532), aSubsetOf0(_154532, _154530)], (364 ^ _143810) ^ [_155116, _155118] : [aSet0(_155118), aElement0(_155116), 371 ^ _143810 : [(402 ^ _143810) ^ [_156377] : [-(_156377 = sdtpldt0(_155118, _155116)), aSet0(_156377), 410 ^ _143810 : [(411 ^ _143810) ^ [] : [-(aElementOf0(407 ^ [_155116, _155118, _156377], _156377))], (413 ^ _143810) ^ [] : [aElement0(407 ^ [_155116, _155118, _156377]), 416 ^ _143810 : [(417 ^ _143810) ^ [] : [aElementOf0(407 ^ [_155116, _155118, _156377], _155118)], (419 ^ _143810) ^ [] : [407 ^ [_155116, _155118, _156377] = _155116]]]], 420 ^ _143810 : [(429 ^ _143810) ^ [] : [aElementOf0(407 ^ [_155116, _155118, _156377], _156377)], (421 ^ _143810) ^ [] : [-(aElement0(407 ^ [_155116, _155118, _156377]))], (423 ^ _143810) ^ [] : [-(aElementOf0(407 ^ [_155116, _155118, _156377], _155118)), -(407 ^ [_155116, _155118, _156377] = _155116)]]], (372 ^ _143810) ^ [_155397] : [_155397 = sdtpldt0(_155118, _155116), 375 ^ _143810 : [(376 ^ _143810) ^ [] : [-(aSet0(_155397))], (378 ^ _143810) ^ [_155660] : [aElementOf0(_155660, _155397), 381 ^ _143810 : [(382 ^ _143810) ^ [] : [-(aElement0(_155660))], (384 ^ _143810) ^ [] : [-(aElementOf0(_155660, _155118)), -(_155660 = _155116)]]], (390 ^ _143810) ^ [_156015] : [-(aElementOf0(_156015, _155397)), aElement0(_156015), 395 ^ _143810 : [(396 ^ _143810) ^ [] : [aElementOf0(_156015, _155118)], (398 ^ _143810) ^ [] : [_156015 = _155116]]]]]]], (433 ^ _143810) ^ [_157414, _157416] : [aSet0(_157416), aElement0(_157414), 440 ^ _143810 : [(471 ^ _143810) ^ [_158682] : [-(_158682 = sdtmndt0(_157416, _157414)), aSet0(_158682), 491 ^ _143810 : [(492 ^ _143810) ^ [] : [-(aElement0(476 ^ [_157414, _157416, _158682]))], (494 ^ _143810) ^ [] : [-(aElementOf0(476 ^ [_157414, _157416, _158682], _157416))], (496 ^ _143810) ^ [] : [476 ^ [_157414, _157416, _158682] = _157414], (498 ^ _143810) ^ [] : [aElementOf0(476 ^ [_157414, _157416, _158682], _158682)]], 479 ^ _143810 : [(480 ^ _143810) ^ [] : [-(aElementOf0(476 ^ [_157414, _157416, _158682], _158682))], (482 ^ _143810) ^ [] : [aElement0(476 ^ [_157414, _157416, _158682]), aElementOf0(476 ^ [_157414, _157416, _158682], _157416), -(476 ^ [_157414, _157416, _158682] = _157414)]]], (441 ^ _143810) ^ [_157697] : [_157697 = sdtmndt0(_157416, _157414), 444 ^ _143810 : [(445 ^ _143810) ^ [] : [-(aSet0(_157697))], (447 ^ _143810) ^ [_157962] : [aElementOf0(_157962, _157697), 450 ^ _143810 : [(451 ^ _143810) ^ [] : [-(aElement0(_157962))], (453 ^ _143810) ^ [] : [-(aElementOf0(_157962, _157416))], (455 ^ _143810) ^ [] : [_157962 = _157414]]], (457 ^ _143810) ^ [_158298] : [-(aElementOf0(_158298, _157697)), aElement0(_158298), aElementOf0(_158298, _157416), -(_158298 = _157414)]]]]], (502 ^ _143810) ^ [_159712] : [aSet0(_159712), 505 ^ _143810 : [(506 ^ _143810) ^ [_159849] : [aElementOf0(_159849, _159712), -(sdtpldt0(sdtmndt0(_159712, _159849), _159849) = _159712)]]], (512 ^ _143810) ^ [_160078, _160080] : [aElement0(_160080), aSet0(_160078), -(aElementOf0(_160080, _160078)), -(sdtmndt0(sdtpldt0(_160078, _160080), _160080) = _160078)], (526 ^ _143810) ^ [_160465] : [aElement0(_160465), 529 ^ _143810 : [(530 ^ _143810) ^ [_160602] : [-(isCountable0(sdtpldt0(_160602, _160465))), aSet0(_160602), isCountable0(_160602)]]], (540 ^ _143810) ^ [_160894] : [aElement0(_160894), 543 ^ _143810 : [(544 ^ _143810) ^ [_161031] : [-(isCountable0(sdtmndt0(_161031, _160894))), aSet0(_161031), isCountable0(_161031)]]], (554 ^ _143810) ^ [_161323] : [aElement0(_161323), 557 ^ _143810 : [(558 ^ _143810) ^ [_161460] : [-(isFinite0(sdtpldt0(_161460, _161323))), aSet0(_161460), isFinite0(_161460)]]], (568 ^ _143810) ^ [_161752] : [aElement0(_161752), 571 ^ _143810 : [(572 ^ _143810) ^ [_161889] : [-(isFinite0(sdtmndt0(_161889, _161752))), aSet0(_161889), isFinite0(_161889)]]], (582 ^ _143810) ^ [] : [-(aSet0(szNzAzT0))], (584 ^ _143810) ^ [] : [-(isCountable0(szNzAzT0))], (586 ^ _143810) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (588 ^ _143810) ^ [_162342] : [aElementOf0(_162342, szNzAzT0), 591 ^ _143810 : [(592 ^ _143810) ^ [] : [-(aElementOf0(szszuzczcdt0(_162342), szNzAzT0))], (594 ^ _143810) ^ [] : [szszuzczcdt0(_162342) = sz00]]], (596 ^ _143810) ^ [_162628, _162630] : [aElementOf0(_162630, szNzAzT0), aElementOf0(_162628, szNzAzT0), szszuzczcdt0(_162630) = szszuzczcdt0(_162628), -(_162630 = _162628)], (610 ^ _143810) ^ [_163012] : [aElementOf0(_163012, szNzAzT0), -(_163012 = sz00), 618 ^ _143810 : [(619 ^ _143810) ^ [] : [-(aElementOf0(617 ^ [_163012], szNzAzT0))], (621 ^ _143810) ^ [] : [-(_163012 = szszuzczcdt0(617 ^ [_163012]))]]], (623 ^ _143810) ^ [_163429] : [aElementOf0(_163429, szNzAzT0), _163429 = szszuzczcdt0(_163429)], (629 ^ _143810) ^ [_163638, _163640] : [aElementOf0(_163640, szNzAzT0), aElementOf0(_163638, szNzAzT0), sdtlseqdt0(_163640, _163638), true___, -(true___)], (647 ^ _143810) ^ [_164088] : [aElementOf0(_164088, szNzAzT0), -(sdtlseqdt0(sz00, _164088))], (653 ^ _143810) ^ [_164278] : [aElementOf0(_164278, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_164278), sz00)], (659 ^ _143810) ^ [_164487, _164489] : [aElementOf0(_164489, szNzAzT0), aElementOf0(_164487, szNzAzT0), 666 ^ _143810 : [(667 ^ _143810) ^ [] : [sdtlseqdt0(_164489, _164487), -(sdtlseqdt0(szszuzczcdt0(_164489), szszuzczcdt0(_164487)))], (673 ^ _143810) ^ [] : [sdtlseqdt0(szszuzczcdt0(_164489), szszuzczcdt0(_164487)), -(sdtlseqdt0(_164489, _164487))]]], (679 ^ _143810) ^ [_165036] : [aElementOf0(_165036, szNzAzT0), -(sdtlseqdt0(_165036, szszuzczcdt0(_165036)))], (685 ^ _143810) ^ [_165230] : [aElementOf0(_165230, szNzAzT0), -(sdtlseqdt0(_165230, _165230))], (691 ^ _143810) ^ [_165434, _165436] : [aElementOf0(_165436, szNzAzT0), aElementOf0(_165434, szNzAzT0), -(_165436 = _165434), sdtlseqdt0(_165436, _165434), sdtlseqdt0(_165434, _165436)], (709 ^ _143810) ^ [_165927, _165929, _165931] : [aElementOf0(_165931, szNzAzT0), aElementOf0(_165929, szNzAzT0), aElementOf0(_165927, szNzAzT0), -(sdtlseqdt0(_165931, _165927)), sdtlseqdt0(_165931, _165929), sdtlseqdt0(_165929, _165927)], (731 ^ _143810) ^ [_166519, _166521] : [aElementOf0(_166521, szNzAzT0), aElementOf0(_166519, szNzAzT0), -(sdtlseqdt0(_166521, _166519)), -(sdtlseqdt0(szszuzczcdt0(_166519), _166521))], (745 ^ _143810) ^ [_166914, _166916] : [aElementOf0(_166916, szNzAzT0), aElementOf0(_166914, szNzAzT0), iLess0(_166916, _166914), true___, -(true___)], (763 ^ _143810) ^ [_167364] : [aElementOf0(_167364, szNzAzT0), -(iLess0(_167364, szszuzczcdt0(_167364)))], (769 ^ _143810) ^ [_167558] : [aSet0(_167558), -(aElement0(sbrdtbr0(_167558)))], (775 ^ _143810) ^ [_167748] : [aSet0(_167748), 778 ^ _143810 : [(779 ^ _143810) ^ [] : [aElementOf0(sbrdtbr0(_167748), szNzAzT0), -(isFinite0(_167748))], (785 ^ _143810) ^ [] : [isFinite0(_167748), -(aElementOf0(sbrdtbr0(_167748), szNzAzT0))]]], (791 ^ _143810) ^ [_168179] : [aSet0(_168179), 794 ^ _143810 : [(795 ^ _143810) ^ [] : [sbrdtbr0(_168179) = sz00, -(_168179 = slcrc0)], (801 ^ _143810) ^ [] : [_168179 = slcrc0, -(sbrdtbr0(_168179) = sz00)]]], (807 ^ _143810) ^ [_168613] : [aSet0(_168613), isFinite0(_168613), 814 ^ _143810 : [(815 ^ _143810) ^ [_168843] : [aElement0(_168843), -(aElementOf0(_168843, _168613)), -(sbrdtbr0(sdtpldt0(_168613, _168843)) = szszuzczcdt0(sbrdtbr0(_168613)))]]], (825 ^ _143810) ^ [_169156] : [aSet0(_169156), 828 ^ _143810 : [(829 ^ _143810) ^ [_169301] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_169156, _169301))) = sbrdtbr0(_169156)), isFinite0(_169156), aElementOf0(_169301, _169156)]]], (839 ^ _143810) ^ [_169609] : [aSet0(_169609), 842 ^ _143810 : [(843 ^ _143810) ^ [_169749] : [-(sdtlseqdt0(sbrdtbr0(_169749), sbrdtbr0(_169609))), isFinite0(_169609), aSubsetOf0(_169749, _169609)]]], (853 ^ _143810) ^ [_170061, _170063] : [aSet0(_170063), aElementOf0(_170061, szNzAzT0), 869 ^ _143810 : [(870 ^ _143810) ^ [] : [-(aSubsetOf0(868 ^ [_170061, _170063], _170063))], (872 ^ _143810) ^ [] : [-(sbrdtbr0(868 ^ [_170061, _170063]) = _170061)]], isFinite0(_170063), sdtlseqdt0(_170061, sbrdtbr0(_170063))], (874 ^ _143810) ^ [_170677] : [aSubsetOf0(_170677, szNzAzT0), -(_170677 = slcrc0), 881 ^ _143810 : [(882 ^ _143810) ^ [_170946] : [_170946 = szmzizndt0(_170677), 885 ^ _143810 : [(886 ^ _143810) ^ [] : [-(aElementOf0(_170946, _170677))], (888 ^ _143810) ^ [_171161] : [aElementOf0(_171161, _170677), -(sdtlseqdt0(_170946, _171161))]]], (894 ^ _143810) ^ [_171340] : [-(_171340 = szmzizndt0(_170677)), aElementOf0(_171340, _170677), 900 ^ _143810 : [(901 ^ _143810) ^ [] : [-(aElementOf0(899 ^ [_170677, _171340], _170677))], (903 ^ _143810) ^ [] : [sdtlseqdt0(_171340, 899 ^ [_170677, _171340])]]]]], (907 ^ _143810) ^ [_171785] : [aSubsetOf0(_171785, szNzAzT0), isFinite0(_171785), -(_171785 = slcrc0), 918 ^ _143810 : [(919 ^ _143810) ^ [_172137] : [_172137 = szmzazxdt0(_171785), 922 ^ _143810 : [(923 ^ _143810) ^ [] : [-(aElementOf0(_172137, _171785))], (925 ^ _143810) ^ [_172352] : [aElementOf0(_172352, _171785), -(sdtlseqdt0(_172352, _172137))]]], (931 ^ _143810) ^ [_172531] : [-(_172531 = szmzazxdt0(_171785)), aElementOf0(_172531, _171785), 937 ^ _143810 : [(938 ^ _143810) ^ [] : [-(aElementOf0(936 ^ [_171785, _172531], _171785))], (940 ^ _143810) ^ [] : [sdtlseqdt0(936 ^ [_171785, _172531], _172531)]]]]], (944 ^ _143810) ^ [_172992, _172994] : [-(szmzizndt0(_172994) = szmzizndt0(_172992)), aElementOf0(szmzizndt0(_172994), _172992), aElementOf0(szmzizndt0(_172992), _172994), aSubsetOf0(_172994, szNzAzT0), aSubsetOf0(_172992, szNzAzT0), -(_172994 = slcrc0), -(_172992 = slcrc0)], (970 ^ _143810) ^ [_173659] : [aElementOf0(_173659, szNzAzT0), 973 ^ _143810 : [(998 ^ _143810) ^ [_174628] : [-(_174628 = slbdtrb0(_173659)), aSet0(_174628), 1014 ^ _143810 : [(1015 ^ _143810) ^ [] : [-(aElementOf0(1003 ^ [_173659, _174628], szNzAzT0))], (1017 ^ _143810) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_173659, _174628]), _173659))], (1019 ^ _143810) ^ [] : [aElementOf0(1003 ^ [_173659, _174628], _174628)]], 1006 ^ _143810 : [(1007 ^ _143810) ^ [] : [-(aElementOf0(1003 ^ [_173659, _174628], _174628))], (1009 ^ _143810) ^ [] : [aElementOf0(1003 ^ [_173659, _174628], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_173659, _174628]), _173659)]]], (974 ^ _143810) ^ [_173847] : [_173847 = slbdtrb0(_173659), 977 ^ _143810 : [(978 ^ _143810) ^ [] : [-(aSet0(_173847))], (980 ^ _143810) ^ [_174097] : [aElementOf0(_174097, _173847), 983 ^ _143810 : [(984 ^ _143810) ^ [] : [-(aElementOf0(_174097, szNzAzT0))], (986 ^ _143810) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_174097), _173659))]]], (988 ^ _143810) ^ [_174350] : [-(aElementOf0(_174350, _173847)), aElementOf0(_174350, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_174350), _173659)]]]]], (1023 ^ _143810) ^ [_175431] : [aElementOf0(_175431, szNzAzT0), -(isFinite0(slbdtrb0(_175431)))], (1029 ^ _143810) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1031 ^ _143810) ^ [_175690, _175692] : [aElementOf0(_175692, szNzAzT0), aElementOf0(_175690, szNzAzT0), 1038 ^ _143810 : [(1049 ^ _143810) ^ [] : [1050 ^ _143810 : [(1051 ^ _143810) ^ [] : [aElementOf0(_175692, slbdtrb0(_175690))], (1053 ^ _143810) ^ [] : [_175692 = _175690]], -(aElementOf0(_175692, slbdtrb0(szszuzczcdt0(_175690))))], (1039 ^ _143810) ^ [] : [aElementOf0(_175692, slbdtrb0(szszuzczcdt0(_175690))), -(aElementOf0(_175692, slbdtrb0(_175690))), -(_175692 = _175690)]]], (1057 ^ _143810) ^ [_176417, _176419] : [aElementOf0(_176419, szNzAzT0), aElementOf0(_176417, szNzAzT0), 1064 ^ _143810 : [(1065 ^ _143810) ^ [] : [sdtlseqdt0(_176419, _176417), -(aSubsetOf0(slbdtrb0(_176419), slbdtrb0(_176417)))], (1071 ^ _143810) ^ [] : [aSubsetOf0(slbdtrb0(_176419), slbdtrb0(_176417)), -(sdtlseqdt0(_176419, _176417))]]], (1077 ^ _143810) ^ [_176966] : [1085 ^ _143810 : [(1086 ^ _143810) ^ [] : [-(aElementOf0(1084 ^ [_176966], szNzAzT0))], (1088 ^ _143810) ^ [] : [-(aSubsetOf0(_176966, slbdtrb0(1084 ^ [_176966])))]], aSubsetOf0(_176966, szNzAzT0), isFinite0(_176966)], (1090 ^ _143810) ^ [_177380] : [aElementOf0(_177380, szNzAzT0), -(sbrdtbr0(slbdtrb0(_177380)) = _177380)], (1096 ^ _143810) ^ [_177592, _177594] : [aSet0(_177594), aElementOf0(_177592, szNzAzT0), 1103 ^ _143810 : [(1128 ^ _143810) ^ [_178685] : [-(_178685 = slbdtsldtrb0(_177594, _177592)), aSet0(_178685), 1144 ^ _143810 : [(1145 ^ _143810) ^ [] : [-(aSubsetOf0(1133 ^ [_177592, _177594, _178685], _177594))], (1147 ^ _143810) ^ [] : [-(sbrdtbr0(1133 ^ [_177592, _177594, _178685]) = _177592)], (1149 ^ _143810) ^ [] : [aElementOf0(1133 ^ [_177592, _177594, _178685], _178685)]], 1136 ^ _143810 : [(1137 ^ _143810) ^ [] : [-(aElementOf0(1133 ^ [_177592, _177594, _178685], _178685))], (1139 ^ _143810) ^ [] : [aSubsetOf0(1133 ^ [_177592, _177594, _178685], _177594), sbrdtbr0(1133 ^ [_177592, _177594, _178685]) = _177592]]], (1104 ^ _143810) ^ [_177872] : [_177872 = slbdtsldtrb0(_177594, _177592), 1107 ^ _143810 : [(1108 ^ _143810) ^ [] : [-(aSet0(_177872))], (1110 ^ _143810) ^ [_178132] : [aElementOf0(_178132, _177872), 1113 ^ _143810 : [(1114 ^ _143810) ^ [] : [-(aSubsetOf0(_178132, _177594))], (1116 ^ _143810) ^ [] : [-(sbrdtbr0(_178132) = _177592)]]], (1118 ^ _143810) ^ [_178395] : [-(aElementOf0(_178395, _177872)), aSubsetOf0(_178395, _177594), sbrdtbr0(_178395) = _177592]]]]], (1153 ^ _143810) ^ [_179534] : [aSet0(_179534), isFinite0(_179534), 1160 ^ _143810 : [(1161 ^ _143810) ^ [_179750] : [aElementOf0(_179750, szNzAzT0), -(isFinite0(slbdtsldtrb0(_179534, _179750)))]]], (1167 ^ _143810) ^ [_179959] : [aSet0(_179959), -(isFinite0(_179959)), 1174 ^ _143810 : [(1175 ^ _143810) ^ [_180181] : [aElementOf0(_180181, szNzAzT0), slbdtsldtrb0(_179959, _180181) = slcrc0]]], (1199 ^ _143810) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1201 ^ _143810) ^ [] : [-(aSet0(xS))], (1203 ^ _143810) ^ [] : [-(aSet0(xT))], (1205 ^ _143810) ^ [] : [xk = sz00], (1207 ^ _143810) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (1209 ^ _143810) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1211 ^ _143810) ^ [] : [-(aElementOf0(xx, xS))], (1213 ^ _143810) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1215 ^ _143810) ^ [] : [-(aSet0(xQ))], (1217 ^ _143810) ^ [] : [-(isFinite0(xQ))], (1219 ^ _143810) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1221 ^ _143810) ^ [] : [-(aElement0(xy))], (1223 ^ _143810) ^ [] : [-(aElementOf0(xy, xQ))], (1225 ^ _143810) ^ [] : [aElementOf0(xx, xQ)], (1227 ^ _143810) ^ [] : [aElementOf0(xx, xQ)], (1229 ^ _143810) ^ [] : [-(xP = sdtpldt0(sdtmndt0(xQ, xy), xx))], (1231 ^ _143810) ^ [] : [aElementOf0(xx, sdtmndt0(xQ, xy))], (1233 ^ _143810) ^ [] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ, xy))) = xk)], (1235 ^ _143810) ^ [] : [-(aSubsetOf0(xP, xS))], (1237 ^ _143810) ^ [] : [-(sbrdtbr0(xP) = xk)], (1181 ^ _143810) ^ [_180393] : [aSet0(_180393), isCountable0(_180393), 1188 ^ _143810 : [(1189 ^ _143810) ^ [_180617] : [-(isCountable0(slbdtsldtrb0(_180393, _180617))), aElementOf0(_180617, szNzAzT0), -(_180617 = sz00)]]]], input).
% 26.71/26.16  ncf('1',plain,[slcrc0 = slcrc0, 226 : aElementOf0(1133 ^ [xk, xS, slcrc0], slcrc0)],start(220 ^ 0,bind([[_150908, _151089], [slcrc0, 1133 ^ [xk, xS, slcrc0]]]))).
% 26.71/26.16  ncf('1.1',plain,[-(slcrc0 = slcrc0)],extension(2 ^ 1,bind([[_143954], [slcrc0]]))).
% 26.71/26.16  ncf('1.2',plain,[-(aElementOf0(1133 ^ [xk, xS, slcrc0], slcrc0)), 1128 : -(slcrc0 = slbdtsldtrb0(xS, xk)), 1128 : aSet0(slcrc0), 1147 : -(sbrdtbr0(1133 ^ [xk, xS, slcrc0]) = xk), 1128 : aSet0(xS), 1128 : aElementOf0(xk, szNzAzT0)],extension(1096 ^ 3,bind([[_177592, _177594, _178685], [xk, xS, slcrc0]]))).
% 26.71/26.16  ncf('1.2.1',plain,[slcrc0 = slbdtsldtrb0(xS, xk), -(slbdtsldtrb0(xS, xk) = slcrc0)],extension(4 ^ 6,bind([[_144061, _144063], [slbdtsldtrb0(xS, xk), slcrc0]]))).
% 26.71/26.16  ncf('1.2.1.1',plain,[slbdtsldtrb0(xS, xk) = slcrc0, -(slbdtsldtrb0(xS, xk) = slbdtsldtrb0(xS, xk)), slcrc0 = slbdtsldtrb0(xS, xk)],extension(10 ^ 7,bind([[_144265, _144267, _144269], [slbdtsldtrb0(xS, xk), slcrc0, slbdtsldtrb0(xS, xk)]]))).
% 26.71/26.16  ncf('1.2.1.1.1',plain,[slbdtsldtrb0(xS, xk) = slbdtsldtrb0(xS, xk), -(slbdtsldtrb0(xS, xk) = slcrc0), slbdtsldtrb0(xS, xk) = slcrc0],extension(10 ^ 8,bind([[_144265, _144267, _144269], [slcrc0, slbdtsldtrb0(xS, xk), slbdtsldtrb0(xS, xk)]]))).
% 26.71/26.16  ncf('1.2.1.1.1.1',plain,[slbdtsldtrb0(xS, xk) = slcrc0],extension(1209 ^ 9)).
% 26.71/26.16  ncf('1.2.1.1.1.2',plain,[-(slbdtsldtrb0(xS, xk) = slcrc0)],reduction('1.2.1')).
% 26.71/26.16  ncf('1.2.1.1.2',plain,[-(slcrc0 = slbdtsldtrb0(xS, xk))],reduction('1.2')).
% 26.71/26.16  ncf('1.2.2',plain,[-(aSet0(slcrc0))],extension(224 ^ 6)).
% 26.71/26.16  ncf('1.2.3',plain,[sbrdtbr0(1133 ^ [xk, xS, slcrc0]) = xk, -(slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])) = slbdtsldtrb0(xS, xk)), xS = xS],extension(166 ^ 8,bind([[_149350, _149352, _149354, _149356], [xk, sbrdtbr0(1133 ^ [xk, xS, slcrc0]), xS, xS]]))).
% 26.71/26.16  ncf('1.2.3.1',plain,[slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])) = slbdtsldtrb0(xS, xk), -(aElementOf0(xP, slbdtsldtrb0(xS, xk))), aElementOf0(xP, slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0]))), xP = xP],extension(102 ^ 9,bind([[_147098, _147100, _147102, _147104], [slbdtsldtrb0(xS, xk), slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])), xP, xP]]))).
% 26.71/26.16  ncf('1.2.3.1.1',plain,[aElementOf0(xP, slbdtsldtrb0(xS, xk))],extension(1239 ^ 10)).
% 26.71/26.16  ncf('1.2.3.1.2',plain,[-(aElementOf0(xP, slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])))), 1118 : aSubsetOf0(xP, xS), 1118 : sbrdtbr0(xP) = xk, 1118 : slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])) = slbdtsldtrb0(xS, xk)],extension(1104 ^ 10,bind([[_177872, _178395], [slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])), xP]]))).
% 26.71/26.16  ncf('1.2.3.1.2.1',plain,[-(aSubsetOf0(xP, xS))],extension(1235 ^ 13)).
% 26.71/26.16  ncf('1.2.3.1.2.2',plain,[-(sbrdtbr0(xP) = xk)],extension(1237 ^ 13)).
% 26.71/26.16  ncf('1.2.3.1.2.3',plain,[-(slbdtsldtrb0(xS, sbrdtbr0(1133 ^ [xk, xS, slcrc0])) = slbdtsldtrb0(xS, xk))],reduction('1.2.3')).
% 26.71/26.16  ncf('1.2.3.1.3',plain,[-(xP = xP)],extension(2 ^ 10,bind([[_143954], [xP]]))).
% 26.71/26.16  ncf('1.2.3.2',plain,[-(xS = xS)],extension(2 ^ 9,bind([[_143954], [xS]]))).
% 26.71/26.16  ncf('1.2.4',plain,[-(aSet0(xS))],extension(1201 ^ 4)).
% 26.71/26.16  ncf('1.2.5',plain,[-(aElementOf0(xk, szNzAzT0)), 285 : aElementOf0(xk, szNzAzT0), 285 : aSubsetOf0(szNzAzT0, szNzAzT0), 279 : aSet0(szNzAzT0)],extension(275 ^ 4,bind([[_152422, _152598, _152807], [szNzAzT0, szNzAzT0, xk]]))).
% 26.71/26.16  ncf('1.2.5.1',plain,[-(aElementOf0(xk, szNzAzT0)), 285 : aElementOf0(xk, szNzAzT0), 285 : aSubsetOf0(szNzAzT0, szNzAzT0)],extension(279 ^ 9,bind([[_152598, _152807], [szNzAzT0, xk]]))).
% 26.71/26.16  ncf('1.2.5.1.1',plain,[-(aElementOf0(xk, szNzAzT0))],extension(1199 ^ 12)).
% 26.71/26.16  ncf('1.2.5.1.2',plain,[-(aSubsetOf0(szNzAzT0, szNzAzT0)), aSet0(szNzAzT0)],extension(318 ^ 10,bind([[_153839], [szNzAzT0]]))).
% 26.71/26.16  ncf('1.2.5.1.2.1',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 11)).
% 26.71/26.16  ncf('1.2.5.2',plain,[-(aSubsetOf0(szNzAzT0, szNzAzT0)), aSubsetOf0(szNzAzT0, szNzAzT0), szNzAzT0 = szNzAzT0, szNzAzT0 = szNzAzT0],extension(88 ^ 7,bind([[_146674, _146676, _146678, _146680], [szNzAzT0, szNzAzT0, szNzAzT0, szNzAzT0]]))).
% 26.71/26.16  ncf('1.2.5.2.1',plain,[-(aSubsetOf0(szNzAzT0, szNzAzT0)), aSet0(szNzAzT0)],extension(318 ^ 8,bind([[_153839], [szNzAzT0]]))).
% 26.71/26.16  ncf('1.2.5.2.1.1',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 9)).
% 26.71/26.16  ncf('1.2.5.2.2',plain,[-(szNzAzT0 = szNzAzT0)],extension(2 ^ 8,bind([[_143954], [szNzAzT0]]))).
% 26.71/26.16  ncf('1.2.5.2.3',plain,[-(szNzAzT0 = szNzAzT0)],lemmata('[5, 2, 1].x')).
% 26.71/26.16  ncf('1.2.5.3',plain,[-(aSet0(szNzAzT0))],extension(582 ^ 5)).
% 26.71/26.16  %-----------------------------------------------------
% 26.71/26.16  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------