TSTP Solution File: NUM552+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:44:58 EDT 2023

% Result   : Theorem 0.37s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.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 16:50:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.37/1.38  
% 0.37/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  ncf(matrix, plain, [(1355 ^ _153543) ^ [] : [-(aElementOf0(xx, xQ))], (1357 ^ _153543) ^ [] : [aElementOf0(xx, xT)], (116 ^ _153543) ^ [_157295, _157297, _157299, _157301] : [-(sdtpldt0(_157301, _157297) = sdtpldt0(_157299, _157295)), _157301 = _157299, _157297 = _157295], (126 ^ _153543) ^ [_157654, _157656, _157658, _157660] : [-(sdtmndt0(_157660, _157656) = sdtmndt0(_157658, _157654)), _157660 = _157658, _157656 = _157654], (136 ^ _153543) ^ [_157985, _157987] : [_157987 = _157985, -(szmzazxdt0(_157987) = szmzazxdt0(_157985))], (142 ^ _153543) ^ [_158203, _158205] : [_158205 = _158203, -(szmzizndt0(_158205) = szmzizndt0(_158203))], (148 ^ _153543) ^ [_158421, _158423] : [_158423 = _158421, -(szszuzczcdt0(_158423) = szszuzczcdt0(_158421))], (154 ^ _153543) ^ [_158639, _158641] : [_158641 = _158639, -(slbdtrb0(_158641) = slbdtrb0(_158639))], (170 ^ _153543) ^ [_159196, _159198] : [_159198 = _159196, -(sbrdtbr0(_159198) = sbrdtbr0(_159196))], (160 ^ _153543) ^ [_158885, _158887, _158889, _158891] : [-(slbdtsldtrb0(_158891, _158887) = slbdtsldtrb0(_158889, _158885)), _158891 = _158889, _158887 = _158885], (2 ^ _153543) ^ [_153687] : [-(_153687 = _153687)], (4 ^ _153543) ^ [_153794, _153796] : [_153796 = _153794, -(_153794 = _153796)], (10 ^ _153543) ^ [_153998, _154000, _154002] : [-(_154002 = _153998), _154002 = _154000, _154000 = _153998], (20 ^ _153543) ^ [_154339, _154341, _154343, _154345] : [-(iLess0(_154343, _154339)), iLess0(_154345, _154341), _154345 = _154343, _154341 = _154339], (34 ^ _153543) ^ [_154783, _154785, _154787, _154789] : [-(sdtlseqdt0(_154787, _154783)), sdtlseqdt0(_154789, _154785), _154789 = _154787, _154785 = _154783], (48 ^ _153543) ^ [_155199, _155201] : [-(isCountable0(_155199)), _155201 = _155199, isCountable0(_155201)], (58 ^ _153543) ^ [_155522, _155524, _155526, _155528] : [-(aSubsetOf0(_155526, _155522)), aSubsetOf0(_155528, _155524), _155528 = _155526, _155524 = _155522], (72 ^ _153543) ^ [_155938, _155940] : [-(aSet0(_155938)), _155940 = _155938, aSet0(_155940)], (82 ^ _153543) ^ [_156233, _156235] : [-(isFinite0(_156233)), _156235 = _156233, isFinite0(_156235)], (92 ^ _153543) ^ [_156528, _156530] : [-(aElement0(_156528)), _156530 = _156528, aElement0(_156530)], (102 ^ _153543) ^ [_156831, _156833, _156835, _156837] : [-(aElementOf0(_156835, _156831)), aElementOf0(_156837, _156833), _156837 = _156835, _156833 = _156831], (176 ^ _153543) ^ [_159430] : [aSet0(_159430), true___, -(true___)], (186 ^ _153543) ^ [_159685] : [aElement0(_159685), true___, -(true___)], (196 ^ _153543) ^ [_159940] : [aSet0(_159940), 199 ^ _153543 : [(200 ^ _153543) ^ [_160070] : [aElementOf0(_160070, _159940), -(aElement0(_160070))]]], (206 ^ _153543) ^ [_160271] : [aSet0(_160271), isFinite0(_160271), true___, -(true___)], (220 ^ _153543) ^ [_160641] : [_160641 = slcrc0, 223 ^ _153543 : [(224 ^ _153543) ^ [] : [-(aSet0(_160641))], (226 ^ _153543) ^ [_160822] : [aElementOf0(_160822, _160641)]]], (228 ^ _153543) ^ [_160890] : [-(_160890 = slcrc0), aSet0(_160890), -(aElementOf0(233 ^ [_160890], _160890))], (239 ^ _153543) ^ [] : [-(isFinite0(slcrc0))], (241 ^ _153543) ^ [_161272] : [aSet0(_161272), isCountable0(_161272), true___, -(true___)], (255 ^ _153543) ^ [_161613] : [isFinite0(_161613), aSet0(_161613), isCountable0(_161613)], (265 ^ _153543) ^ [_161883] : [_161883 = slcrc0, aSet0(_161883), isCountable0(_161883)], (275 ^ _153543) ^ [_162155] : [aSet0(_162155), 278 ^ _153543 : [(279 ^ _153543) ^ [_162331] : [aSubsetOf0(_162331, _162155), 282 ^ _153543 : [(283 ^ _153543) ^ [] : [-(aSet0(_162331))], (285 ^ _153543) ^ [_162540] : [aElementOf0(_162540, _162331), -(aElementOf0(_162540, _162155))]]], (291 ^ _153543) ^ [_162719] : [-(aSubsetOf0(_162719, _162155)), aSet0(_162719), 297 ^ _153543 : [(298 ^ _153543) ^ [] : [-(aElementOf0(296 ^ [_162155, _162719], _162719))], (300 ^ _153543) ^ [] : [aElementOf0(296 ^ [_162155, _162719], _162155)]]]]], (304 ^ _153543) ^ [_163156] : [aSet0(_163156), isFinite0(_163156), 311 ^ _153543 : [(312 ^ _153543) ^ [_163369] : [aSubsetOf0(_163369, _163156), -(isFinite0(_163369))]]], (318 ^ _153543) ^ [_163572] : [aSet0(_163572), -(aSubsetOf0(_163572, _163572))], (324 ^ _153543) ^ [_163774, _163776] : [aSet0(_163776), aSet0(_163774), -(_163776 = _163774), aSubsetOf0(_163776, _163774), aSubsetOf0(_163774, _163776)], (342 ^ _153543) ^ [_164263, _164265, _164267] : [aSet0(_164267), aSet0(_164265), aSet0(_164263), -(aSubsetOf0(_164267, _164263)), aSubsetOf0(_164267, _164265), aSubsetOf0(_164265, _164263)], (364 ^ _153543) ^ [_164849, _164851] : [aSet0(_164851), aElement0(_164849), 371 ^ _153543 : [(402 ^ _153543) ^ [_166110] : [-(_166110 = sdtpldt0(_164851, _164849)), aSet0(_166110), 410 ^ _153543 : [(411 ^ _153543) ^ [] : [-(aElementOf0(407 ^ [_164849, _164851, _166110], _166110))], (413 ^ _153543) ^ [] : [aElement0(407 ^ [_164849, _164851, _166110]), 416 ^ _153543 : [(417 ^ _153543) ^ [] : [aElementOf0(407 ^ [_164849, _164851, _166110], _164851)], (419 ^ _153543) ^ [] : [407 ^ [_164849, _164851, _166110] = _164849]]]], 420 ^ _153543 : [(429 ^ _153543) ^ [] : [aElementOf0(407 ^ [_164849, _164851, _166110], _166110)], (421 ^ _153543) ^ [] : [-(aElement0(407 ^ [_164849, _164851, _166110]))], (423 ^ _153543) ^ [] : [-(aElementOf0(407 ^ [_164849, _164851, _166110], _164851)), -(407 ^ [_164849, _164851, _166110] = _164849)]]], (372 ^ _153543) ^ [_165130] : [_165130 = sdtpldt0(_164851, _164849), 375 ^ _153543 : [(376 ^ _153543) ^ [] : [-(aSet0(_165130))], (378 ^ _153543) ^ [_165393] : [aElementOf0(_165393, _165130), 381 ^ _153543 : [(382 ^ _153543) ^ [] : [-(aElement0(_165393))], (384 ^ _153543) ^ [] : [-(aElementOf0(_165393, _164851)), -(_165393 = _164849)]]], (390 ^ _153543) ^ [_165748] : [-(aElementOf0(_165748, _165130)), aElement0(_165748), 395 ^ _153543 : [(396 ^ _153543) ^ [] : [aElementOf0(_165748, _164851)], (398 ^ _153543) ^ [] : [_165748 = _164849]]]]]]], (433 ^ _153543) ^ [_167147, _167149] : [aSet0(_167149), aElement0(_167147), 440 ^ _153543 : [(471 ^ _153543) ^ [_168415] : [-(_168415 = sdtmndt0(_167149, _167147)), aSet0(_168415), 491 ^ _153543 : [(492 ^ _153543) ^ [] : [-(aElement0(476 ^ [_167147, _167149, _168415]))], (494 ^ _153543) ^ [] : [-(aElementOf0(476 ^ [_167147, _167149, _168415], _167149))], (496 ^ _153543) ^ [] : [476 ^ [_167147, _167149, _168415] = _167147], (498 ^ _153543) ^ [] : [aElementOf0(476 ^ [_167147, _167149, _168415], _168415)]], 479 ^ _153543 : [(480 ^ _153543) ^ [] : [-(aElementOf0(476 ^ [_167147, _167149, _168415], _168415))], (482 ^ _153543) ^ [] : [aElement0(476 ^ [_167147, _167149, _168415]), aElementOf0(476 ^ [_167147, _167149, _168415], _167149), -(476 ^ [_167147, _167149, _168415] = _167147)]]], (441 ^ _153543) ^ [_167430] : [_167430 = sdtmndt0(_167149, _167147), 444 ^ _153543 : [(445 ^ _153543) ^ [] : [-(aSet0(_167430))], (447 ^ _153543) ^ [_167695] : [aElementOf0(_167695, _167430), 450 ^ _153543 : [(451 ^ _153543) ^ [] : [-(aElement0(_167695))], (453 ^ _153543) ^ [] : [-(aElementOf0(_167695, _167149))], (455 ^ _153543) ^ [] : [_167695 = _167147]]], (457 ^ _153543) ^ [_168031] : [-(aElementOf0(_168031, _167430)), aElement0(_168031), aElementOf0(_168031, _167149), -(_168031 = _167147)]]]]], (502 ^ _153543) ^ [_169445] : [aSet0(_169445), 505 ^ _153543 : [(506 ^ _153543) ^ [_169582] : [aElementOf0(_169582, _169445), -(sdtpldt0(sdtmndt0(_169445, _169582), _169582) = _169445)]]], (512 ^ _153543) ^ [_169811, _169813] : [aElement0(_169813), aSet0(_169811), -(aElementOf0(_169813, _169811)), -(sdtmndt0(sdtpldt0(_169811, _169813), _169813) = _169811)], (526 ^ _153543) ^ [_170198] : [aElement0(_170198), 529 ^ _153543 : [(530 ^ _153543) ^ [_170335] : [-(isCountable0(sdtpldt0(_170335, _170198))), aSet0(_170335), isCountable0(_170335)]]], (540 ^ _153543) ^ [_170627] : [aElement0(_170627), 543 ^ _153543 : [(544 ^ _153543) ^ [_170764] : [-(isCountable0(sdtmndt0(_170764, _170627))), aSet0(_170764), isCountable0(_170764)]]], (554 ^ _153543) ^ [_171056] : [aElement0(_171056), 557 ^ _153543 : [(558 ^ _153543) ^ [_171193] : [-(isFinite0(sdtpldt0(_171193, _171056))), aSet0(_171193), isFinite0(_171193)]]], (568 ^ _153543) ^ [_171485] : [aElement0(_171485), 571 ^ _153543 : [(572 ^ _153543) ^ [_171622] : [-(isFinite0(sdtmndt0(_171622, _171485))), aSet0(_171622), isFinite0(_171622)]]], (582 ^ _153543) ^ [] : [-(aSet0(szNzAzT0))], (584 ^ _153543) ^ [] : [-(isCountable0(szNzAzT0))], (586 ^ _153543) ^ [] : [-(aElementOf0(sz00, szNzAzT0))], (588 ^ _153543) ^ [_172075] : [aElementOf0(_172075, szNzAzT0), 591 ^ _153543 : [(592 ^ _153543) ^ [] : [-(aElementOf0(szszuzczcdt0(_172075), szNzAzT0))], (594 ^ _153543) ^ [] : [szszuzczcdt0(_172075) = sz00]]], (596 ^ _153543) ^ [_172361, _172363] : [aElementOf0(_172363, szNzAzT0), aElementOf0(_172361, szNzAzT0), szszuzczcdt0(_172363) = szszuzczcdt0(_172361), -(_172363 = _172361)], (610 ^ _153543) ^ [_172745] : [aElementOf0(_172745, szNzAzT0), -(_172745 = sz00), 618 ^ _153543 : [(619 ^ _153543) ^ [] : [-(aElementOf0(617 ^ [_172745], szNzAzT0))], (621 ^ _153543) ^ [] : [-(_172745 = szszuzczcdt0(617 ^ [_172745]))]]], (623 ^ _153543) ^ [_173162] : [aElementOf0(_173162, szNzAzT0), _173162 = szszuzczcdt0(_173162)], (629 ^ _153543) ^ [_173371, _173373] : [aElementOf0(_173373, szNzAzT0), aElementOf0(_173371, szNzAzT0), sdtlseqdt0(_173373, _173371), true___, -(true___)], (647 ^ _153543) ^ [_173821] : [aElementOf0(_173821, szNzAzT0), -(sdtlseqdt0(sz00, _173821))], (653 ^ _153543) ^ [_174011] : [aElementOf0(_174011, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_174011), sz00)], (659 ^ _153543) ^ [_174220, _174222] : [aElementOf0(_174222, szNzAzT0), aElementOf0(_174220, szNzAzT0), 666 ^ _153543 : [(667 ^ _153543) ^ [] : [sdtlseqdt0(_174222, _174220), -(sdtlseqdt0(szszuzczcdt0(_174222), szszuzczcdt0(_174220)))], (673 ^ _153543) ^ [] : [sdtlseqdt0(szszuzczcdt0(_174222), szszuzczcdt0(_174220)), -(sdtlseqdt0(_174222, _174220))]]], (679 ^ _153543) ^ [_174769] : [aElementOf0(_174769, szNzAzT0), -(sdtlseqdt0(_174769, szszuzczcdt0(_174769)))], (685 ^ _153543) ^ [_174963] : [aElementOf0(_174963, szNzAzT0), -(sdtlseqdt0(_174963, _174963))], (691 ^ _153543) ^ [_175167, _175169] : [aElementOf0(_175169, szNzAzT0), aElementOf0(_175167, szNzAzT0), -(_175169 = _175167), sdtlseqdt0(_175169, _175167), sdtlseqdt0(_175167, _175169)], (709 ^ _153543) ^ [_175660, _175662, _175664] : [aElementOf0(_175664, szNzAzT0), aElementOf0(_175662, szNzAzT0), aElementOf0(_175660, szNzAzT0), -(sdtlseqdt0(_175664, _175660)), sdtlseqdt0(_175664, _175662), sdtlseqdt0(_175662, _175660)], (731 ^ _153543) ^ [_176252, _176254] : [aElementOf0(_176254, szNzAzT0), aElementOf0(_176252, szNzAzT0), -(sdtlseqdt0(_176254, _176252)), -(sdtlseqdt0(szszuzczcdt0(_176252), _176254))], (745 ^ _153543) ^ [_176647, _176649] : [aElementOf0(_176649, szNzAzT0), aElementOf0(_176647, szNzAzT0), iLess0(_176649, _176647), true___, -(true___)], (763 ^ _153543) ^ [_177097] : [aElementOf0(_177097, szNzAzT0), -(iLess0(_177097, szszuzczcdt0(_177097)))], (769 ^ _153543) ^ [_177291] : [aSet0(_177291), -(aElement0(sbrdtbr0(_177291)))], (775 ^ _153543) ^ [_177481] : [aSet0(_177481), 778 ^ _153543 : [(779 ^ _153543) ^ [] : [aElementOf0(sbrdtbr0(_177481), szNzAzT0), -(isFinite0(_177481))], (785 ^ _153543) ^ [] : [isFinite0(_177481), -(aElementOf0(sbrdtbr0(_177481), szNzAzT0))]]], (791 ^ _153543) ^ [_177912] : [aSet0(_177912), 794 ^ _153543 : [(795 ^ _153543) ^ [] : [sbrdtbr0(_177912) = sz00, -(_177912 = slcrc0)], (801 ^ _153543) ^ [] : [_177912 = slcrc0, -(sbrdtbr0(_177912) = sz00)]]], (807 ^ _153543) ^ [_178346] : [aSet0(_178346), isFinite0(_178346), 814 ^ _153543 : [(815 ^ _153543) ^ [_178576] : [aElement0(_178576), -(aElementOf0(_178576, _178346)), -(sbrdtbr0(sdtpldt0(_178346, _178576)) = szszuzczcdt0(sbrdtbr0(_178346)))]]], (825 ^ _153543) ^ [_178889] : [aSet0(_178889), 828 ^ _153543 : [(829 ^ _153543) ^ [_179034] : [-(szszuzczcdt0(sbrdtbr0(sdtmndt0(_178889, _179034))) = sbrdtbr0(_178889)), isFinite0(_178889), aElementOf0(_179034, _178889)]]], (839 ^ _153543) ^ [_179342] : [aSet0(_179342), 842 ^ _153543 : [(843 ^ _153543) ^ [_179482] : [-(sdtlseqdt0(sbrdtbr0(_179482), sbrdtbr0(_179342))), isFinite0(_179342), aSubsetOf0(_179482, _179342)]]], (853 ^ _153543) ^ [_179794, _179796] : [aSet0(_179796), aElementOf0(_179794, szNzAzT0), 869 ^ _153543 : [(870 ^ _153543) ^ [] : [-(aSubsetOf0(868 ^ [_179794, _179796], _179796))], (872 ^ _153543) ^ [] : [-(sbrdtbr0(868 ^ [_179794, _179796]) = _179794)]], isFinite0(_179796), sdtlseqdt0(_179794, sbrdtbr0(_179796))], (874 ^ _153543) ^ [_180410] : [aSubsetOf0(_180410, szNzAzT0), -(_180410 = slcrc0), 881 ^ _153543 : [(882 ^ _153543) ^ [_180679] : [_180679 = szmzizndt0(_180410), 885 ^ _153543 : [(886 ^ _153543) ^ [] : [-(aElementOf0(_180679, _180410))], (888 ^ _153543) ^ [_180894] : [aElementOf0(_180894, _180410), -(sdtlseqdt0(_180679, _180894))]]], (894 ^ _153543) ^ [_181073] : [-(_181073 = szmzizndt0(_180410)), aElementOf0(_181073, _180410), 900 ^ _153543 : [(901 ^ _153543) ^ [] : [-(aElementOf0(899 ^ [_180410, _181073], _180410))], (903 ^ _153543) ^ [] : [sdtlseqdt0(_181073, 899 ^ [_180410, _181073])]]]]], (907 ^ _153543) ^ [_181518] : [aSubsetOf0(_181518, szNzAzT0), isFinite0(_181518), -(_181518 = slcrc0), 918 ^ _153543 : [(919 ^ _153543) ^ [_181870] : [_181870 = szmzazxdt0(_181518), 922 ^ _153543 : [(923 ^ _153543) ^ [] : [-(aElementOf0(_181870, _181518))], (925 ^ _153543) ^ [_182085] : [aElementOf0(_182085, _181518), -(sdtlseqdt0(_182085, _181870))]]], (931 ^ _153543) ^ [_182264] : [-(_182264 = szmzazxdt0(_181518)), aElementOf0(_182264, _181518), 937 ^ _153543 : [(938 ^ _153543) ^ [] : [-(aElementOf0(936 ^ [_181518, _182264], _181518))], (940 ^ _153543) ^ [] : [sdtlseqdt0(936 ^ [_181518, _182264], _182264)]]]]], (944 ^ _153543) ^ [_182725, _182727] : [-(szmzizndt0(_182727) = szmzizndt0(_182725)), aElementOf0(szmzizndt0(_182727), _182725), aElementOf0(szmzizndt0(_182725), _182727), aSubsetOf0(_182727, szNzAzT0), aSubsetOf0(_182725, szNzAzT0), -(_182727 = slcrc0), -(_182725 = slcrc0)], (970 ^ _153543) ^ [_183392] : [aElementOf0(_183392, szNzAzT0), 973 ^ _153543 : [(998 ^ _153543) ^ [_184361] : [-(_184361 = slbdtrb0(_183392)), aSet0(_184361), 1014 ^ _153543 : [(1015 ^ _153543) ^ [] : [-(aElementOf0(1003 ^ [_183392, _184361], szNzAzT0))], (1017 ^ _153543) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(1003 ^ [_183392, _184361]), _183392))], (1019 ^ _153543) ^ [] : [aElementOf0(1003 ^ [_183392, _184361], _184361)]], 1006 ^ _153543 : [(1007 ^ _153543) ^ [] : [-(aElementOf0(1003 ^ [_183392, _184361], _184361))], (1009 ^ _153543) ^ [] : [aElementOf0(1003 ^ [_183392, _184361], szNzAzT0), sdtlseqdt0(szszuzczcdt0(1003 ^ [_183392, _184361]), _183392)]]], (974 ^ _153543) ^ [_183580] : [_183580 = slbdtrb0(_183392), 977 ^ _153543 : [(978 ^ _153543) ^ [] : [-(aSet0(_183580))], (980 ^ _153543) ^ [_183830] : [aElementOf0(_183830, _183580), 983 ^ _153543 : [(984 ^ _153543) ^ [] : [-(aElementOf0(_183830, szNzAzT0))], (986 ^ _153543) ^ [] : [-(sdtlseqdt0(szszuzczcdt0(_183830), _183392))]]], (988 ^ _153543) ^ [_184083] : [-(aElementOf0(_184083, _183580)), aElementOf0(_184083, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_184083), _183392)]]]]], (1023 ^ _153543) ^ [_185164] : [aElementOf0(_185164, szNzAzT0), -(isFinite0(slbdtrb0(_185164)))], (1029 ^ _153543) ^ [] : [-(slbdtrb0(sz00) = slcrc0)], (1031 ^ _153543) ^ [_185423, _185425] : [aElementOf0(_185425, szNzAzT0), aElementOf0(_185423, szNzAzT0), 1038 ^ _153543 : [(1049 ^ _153543) ^ [] : [1050 ^ _153543 : [(1051 ^ _153543) ^ [] : [aElementOf0(_185425, slbdtrb0(_185423))], (1053 ^ _153543) ^ [] : [_185425 = _185423]], -(aElementOf0(_185425, slbdtrb0(szszuzczcdt0(_185423))))], (1039 ^ _153543) ^ [] : [aElementOf0(_185425, slbdtrb0(szszuzczcdt0(_185423))), -(aElementOf0(_185425, slbdtrb0(_185423))), -(_185425 = _185423)]]], (1057 ^ _153543) ^ [_186150, _186152] : [aElementOf0(_186152, szNzAzT0), aElementOf0(_186150, szNzAzT0), 1064 ^ _153543 : [(1065 ^ _153543) ^ [] : [sdtlseqdt0(_186152, _186150), -(aSubsetOf0(slbdtrb0(_186152), slbdtrb0(_186150)))], (1071 ^ _153543) ^ [] : [aSubsetOf0(slbdtrb0(_186152), slbdtrb0(_186150)), -(sdtlseqdt0(_186152, _186150))]]], (1077 ^ _153543) ^ [_186699] : [1085 ^ _153543 : [(1086 ^ _153543) ^ [] : [-(aElementOf0(1084 ^ [_186699], szNzAzT0))], (1088 ^ _153543) ^ [] : [-(aSubsetOf0(_186699, slbdtrb0(1084 ^ [_186699])))]], aSubsetOf0(_186699, szNzAzT0), isFinite0(_186699)], (1090 ^ _153543) ^ [_187113] : [aElementOf0(_187113, szNzAzT0), -(sbrdtbr0(slbdtrb0(_187113)) = _187113)], (1096 ^ _153543) ^ [_187325, _187327] : [aSet0(_187327), aElementOf0(_187325, szNzAzT0), 1103 ^ _153543 : [(1128 ^ _153543) ^ [_188418] : [-(_188418 = slbdtsldtrb0(_187327, _187325)), aSet0(_188418), 1144 ^ _153543 : [(1145 ^ _153543) ^ [] : [-(aSubsetOf0(1133 ^ [_187325, _187327, _188418], _187327))], (1147 ^ _153543) ^ [] : [-(sbrdtbr0(1133 ^ [_187325, _187327, _188418]) = _187325)], (1149 ^ _153543) ^ [] : [aElementOf0(1133 ^ [_187325, _187327, _188418], _188418)]], 1136 ^ _153543 : [(1137 ^ _153543) ^ [] : [-(aElementOf0(1133 ^ [_187325, _187327, _188418], _188418))], (1139 ^ _153543) ^ [] : [aSubsetOf0(1133 ^ [_187325, _187327, _188418], _187327), sbrdtbr0(1133 ^ [_187325, _187327, _188418]) = _187325]]], (1104 ^ _153543) ^ [_187605] : [_187605 = slbdtsldtrb0(_187327, _187325), 1107 ^ _153543 : [(1108 ^ _153543) ^ [] : [-(aSet0(_187605))], (1110 ^ _153543) ^ [_187865] : [aElementOf0(_187865, _187605), 1113 ^ _153543 : [(1114 ^ _153543) ^ [] : [-(aSubsetOf0(_187865, _187327))], (1116 ^ _153543) ^ [] : [-(sbrdtbr0(_187865) = _187325)]]], (1118 ^ _153543) ^ [_188128] : [-(aElementOf0(_188128, _187605)), aSubsetOf0(_188128, _187327), sbrdtbr0(_188128) = _187325]]]]], (1153 ^ _153543) ^ [_189267] : [aSet0(_189267), isFinite0(_189267), 1160 ^ _153543 : [(1161 ^ _153543) ^ [_189483] : [aElementOf0(_189483, szNzAzT0), -(isFinite0(slbdtsldtrb0(_189267, _189483)))]]], (1167 ^ _153543) ^ [_189692] : [aSet0(_189692), -(isFinite0(_189692)), 1174 ^ _153543 : [(1175 ^ _153543) ^ [_189914] : [aElementOf0(_189914, szNzAzT0), slbdtsldtrb0(_189692, _189914) = slcrc0]]], (1181 ^ _153543) ^ [_190126] : [aSet0(_190126), isCountable0(_190126), 1188 ^ _153543 : [(1189 ^ _153543) ^ [_190350] : [-(isCountable0(slbdtsldtrb0(_190126, _190350))), aElementOf0(_190350, szNzAzT0), -(_190350 = sz00)]]], (1199 ^ _153543) ^ [] : [-(aElementOf0(xk, szNzAzT0))], (1201 ^ _153543) ^ [] : [-(aSet0(xS))], (1203 ^ _153543) ^ [] : [-(aSet0(xT))], (1205 ^ _153543) ^ [] : [xk = sz00], (1329 ^ _153543) ^ [] : [-(aElementOf0(xx, xS))], (1345 ^ _153543) ^ [] : [-(aSet0(xQ))], (1347 ^ _153543) ^ [] : [-(isFinite0(xQ))], (1349 ^ _153543) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1351 ^ _153543) ^ [] : [-(aElement0(xy))], (1353 ^ _153543) ^ [] : [-(aElementOf0(xy, xQ))], (1331 ^ _153543) ^ [] : [-(aSet0(xQ))], (1339 ^ _153543) ^ [] : [-(aSubsetOf0(xQ, xS))], (1341 ^ _153543) ^ [] : [-(sbrdtbr0(xQ) = xk)], (1343 ^ _153543) ^ [] : [-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))], (1333 ^ _153543) ^ [_194844] : [aElementOf0(_194844, xQ), -(aElementOf0(_194844, xS))], (1207 ^ _153543) ^ [] : [-(aSet0(slbdtsldtrb0(xS, xk)))], (1209 ^ _153543) ^ [_190959] : [aElementOf0(_190959, slbdtsldtrb0(xS, xk)), 1212 ^ _153543 : [(1213 ^ _153543) ^ [] : [-(aSet0(_190959))], (1221 ^ _153543) ^ [] : [-(aSubsetOf0(_190959, xS))], (1223 ^ _153543) ^ [] : [-(sbrdtbr0(_190959) = xk)], (1215 ^ _153543) ^ [_191194] : [aElementOf0(_191194, _190959), -(aElementOf0(_191194, xS))]]], (1225 ^ _153543) ^ [_191481] : [-(aElementOf0(_191481, slbdtsldtrb0(xS, xk))), sbrdtbr0(_191481) = xk, 1228 ^ _153543 : [(1238 ^ _153543) ^ [] : [aSubsetOf0(_191481, xS)], (1229 ^ _153543) ^ [] : [aSet0(_191481), 1233 ^ _153543 : [(1234 ^ _153543) ^ [] : [-(aElementOf0(1232 ^ [_191481], _191481))], (1236 ^ _153543) ^ [] : [aElementOf0(1232 ^ [_191481], xS)]]]]], (1244 ^ _153543) ^ [] : [-(aSet0(slbdtsldtrb0(xT, xk)))], (1246 ^ _153543) ^ [_192125] : [aElementOf0(_192125, slbdtsldtrb0(xT, xk)), 1249 ^ _153543 : [(1250 ^ _153543) ^ [] : [-(aSet0(_192125))], (1258 ^ _153543) ^ [] : [-(aSubsetOf0(_192125, xT))], (1260 ^ _153543) ^ [] : [-(sbrdtbr0(_192125) = xk)], (1252 ^ _153543) ^ [_192360] : [aElementOf0(_192360, _192125), -(aElementOf0(_192360, xT))]]], (1262 ^ _153543) ^ [_192647] : [-(aElementOf0(_192647, slbdtsldtrb0(xT, xk))), sbrdtbr0(_192647) = xk, 1265 ^ _153543 : [(1275 ^ _153543) ^ [] : [aSubsetOf0(_192647, xT)], (1266 ^ _153543) ^ [] : [aSet0(_192647), 1270 ^ _153543 : [(1271 ^ _153543) ^ [] : [-(aElementOf0(1269 ^ [_192647], _192647))], (1273 ^ _153543) ^ [] : [aElementOf0(1269 ^ [_192647], xT)]]]]], (1281 ^ _153543) ^ [_193218] : [aElementOf0(_193218, slbdtsldtrb0(xS, xk)), -(aElementOf0(_193218, slbdtsldtrb0(xT, xk)))], (1287 ^ _153543) ^ [] : [-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))], (1325 ^ _153543) ^ [] : [-(aElementOf0(1323 ^ [], slbdtsldtrb0(xS, xk)))], (1327 ^ _153543) ^ [] : [slbdtsldtrb0(xS, xk) = slcrc0], (1289 ^ _153543) ^ [_193481] : [aElementOf0(_193481, slbdtsldtrb0(xS, xk)), 1292 ^ _153543 : [(1293 ^ _153543) ^ [] : [-(aSet0(_193481))], (1301 ^ _153543) ^ [] : [-(aSubsetOf0(_193481, xS))], (1303 ^ _153543) ^ [] : [-(sbrdtbr0(_193481) = xk)], (1295 ^ _153543) ^ [_193716] : [aElementOf0(_193716, _193481), -(aElementOf0(_193716, xS))]]], (1305 ^ _153543) ^ [_194003] : [-(aElementOf0(_194003, slbdtsldtrb0(xS, xk))), sbrdtbr0(_194003) = xk, 1308 ^ _153543 : [(1318 ^ _153543) ^ [] : [aSubsetOf0(_194003, xS)], (1309 ^ _153543) ^ [] : [aSet0(_194003), 1313 ^ _153543 : [(1314 ^ _153543) ^ [] : [-(aElementOf0(1312 ^ [_194003], _194003))], (1316 ^ _153543) ^ [] : [aElementOf0(1312 ^ [_194003], xS)]]]]]], input).
% 0.37/1.38  ncf('1',plain,[aElementOf0(xx, xT)],start(1357 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(aElementOf0(xx, xT)), 1252 : aElementOf0(xx, xQ), 1252 : aElementOf0(xQ, slbdtsldtrb0(xT, xk))],extension(1246 ^ 1,bind([[_192125, _192360], [xQ, xx]]))).
% 0.37/1.38  ncf('1.1.1',plain,[-(aElementOf0(xx, xQ))],extension(1355 ^ 4)).
% 0.37/1.38  ncf('1.1.2',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xT, xk))), 285 : aElementOf0(xQ, slbdtsldtrb0(xS, xk)), 285 : aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)), 279 : aSet0(slbdtsldtrb0(xT, xk))],extension(275 ^ 2,bind([[_162155, _162331, _162540], [slbdtsldtrb0(xT, xk), slbdtsldtrb0(xS, xk), xQ]]))).
% 0.37/1.38  ncf('1.1.2.1',plain,[-(aElementOf0(xQ, slbdtsldtrb0(xS, xk)))],extension(1343 ^ 7)).
% 0.37/1.38  ncf('1.1.2.2',plain,[-(aSubsetOf0(slbdtsldtrb0(xS, xk), slbdtsldtrb0(xT, xk)))],extension(1287 ^ 5)).
% 0.37/1.38  ncf('1.1.2.3',plain,[-(aSet0(slbdtsldtrb0(xT, xk)))],extension(1244 ^ 3)).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------