TSTP Solution File: NUM537+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM537+2 : 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 11:44:55 EDT 2023
% Result : Theorem 0.56s 1.37s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM537+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 17:09:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.56/1.37
% 0.56/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.56/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 ncf(matrix, plain, [(450 ^ _71887) ^ [] : [451 ^ _71887 : [(505 ^ _71887) ^ [] : [-(aElementOf0(503 ^ [], xS))], (507 ^ _71887) ^ [] : [aElementOf0(503 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx))], (509 ^ _71887) ^ [] : [aSubsetOf0(xS, sdtmndt0(sdtpldt0(xS, xx), xx))], (478 ^ _71887) ^ [] : [-(aSet0(sdtmndt0(sdtpldt0(xS, xx), xx)))], (480 ^ _71887) ^ [_86896] : [aElementOf0(_86896, sdtmndt0(sdtpldt0(xS, xx), xx)), 483 ^ _71887 : [(484 ^ _71887) ^ [] : [-(aElement0(_86896))], (486 ^ _71887) ^ [] : [-(aElementOf0(_86896, sdtpldt0(xS, xx)))], (488 ^ _71887) ^ [] : [_86896 = xx]]], (490 ^ _71887) ^ [_87196] : [-(aElementOf0(_87196, sdtmndt0(sdtpldt0(xS, xx), xx))), aElement0(_87196), aElementOf0(_87196, sdtpldt0(xS, xx)), -(_87196 = xx)], (452 ^ _71887) ^ [] : [-(aSet0(sdtpldt0(xS, xx)))], (454 ^ _71887) ^ [_86152] : [aElementOf0(_86152, sdtpldt0(xS, xx)), 457 ^ _71887 : [(458 ^ _71887) ^ [] : [-(aElement0(_86152))], (460 ^ _71887) ^ [] : [-(aElementOf0(_86152, xS)), -(_86152 = xx)]]], (466 ^ _71887) ^ [_86465] : [-(aElementOf0(_86465, sdtpldt0(xS, xx))), aElement0(_86465), 471 ^ _71887 : [(472 ^ _71887) ^ [] : [aElementOf0(_86465, xS)], (474 ^ _71887) ^ [] : [_86465 = xx]]]], 510 ^ _71887 : [(564 ^ _71887) ^ [] : [-(aElementOf0(562 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx)))], (566 ^ _71887) ^ [] : [aElementOf0(562 ^ [], xS)], (568 ^ _71887) ^ [] : [aSubsetOf0(sdtmndt0(sdtpldt0(xS, xx), xx), xS)], (537 ^ _71887) ^ [] : [-(aSet0(sdtmndt0(sdtpldt0(xS, xx), xx)))], (539 ^ _71887) ^ [_88591] : [aElementOf0(_88591, sdtmndt0(sdtpldt0(xS, xx), xx)), 542 ^ _71887 : [(543 ^ _71887) ^ [] : [-(aElement0(_88591))], (545 ^ _71887) ^ [] : [-(aElementOf0(_88591, sdtpldt0(xS, xx)))], (547 ^ _71887) ^ [] : [_88591 = xx]]], (549 ^ _71887) ^ [_88891] : [-(aElementOf0(_88891, sdtmndt0(sdtpldt0(xS, xx), xx))), aElement0(_88891), aElementOf0(_88891, sdtpldt0(xS, xx)), -(_88891 = xx)], (511 ^ _71887) ^ [] : [-(aSet0(sdtpldt0(xS, xx)))], (513 ^ _71887) ^ [_87847] : [aElementOf0(_87847, sdtpldt0(xS, xx)), 516 ^ _71887 : [(517 ^ _71887) ^ [] : [-(aElement0(_87847))], (519 ^ _71887) ^ [] : [-(aElementOf0(_87847, xS)), -(_87847 = xx)]]], (525 ^ _71887) ^ [_88160] : [-(aElementOf0(_88160, sdtpldt0(xS, xx))), aElement0(_88160), 530 ^ _71887 : [(531 ^ _71887) ^ [] : [aElementOf0(_88160, xS)], (533 ^ _71887) ^ [] : [_88160 = xx]]]]], (88 ^ _71887) ^ [_74747, _74749, _74751, _74753] : [-(sdtmndt0(_74753, _74749) = sdtmndt0(_74751, _74747)), _74753 = _74751, _74749 = _74747], (98 ^ _71887) ^ [_75086, _75088, _75090, _75092] : [-(sdtpldt0(_75092, _75088) = sdtpldt0(_75090, _75086)), _75092 = _75090, _75088 = _75086], (2 ^ _71887) ^ [_72031] : [-(_72031 = _72031)], (4 ^ _71887) ^ [_72138, _72140] : [_72140 = _72138, -(_72138 = _72140)], (10 ^ _71887) ^ [_72342, _72344, _72346] : [-(_72346 = _72342), _72346 = _72344, _72344 = _72342], (20 ^ _71887) ^ [_72655, _72657] : [-(isCountable0(_72655)), _72657 = _72655, isCountable0(_72657)], (30 ^ _71887) ^ [_72950, _72952] : [-(isFinite0(_72950)), _72952 = _72950, isFinite0(_72952)], (40 ^ _71887) ^ [_73245, _73247] : [-(aSet0(_73245)), _73247 = _73245, aSet0(_73247)], (50 ^ _71887) ^ [_73540, _73542] : [-(aElement0(_73540)), _73542 = _73540, aElement0(_73542)], (60 ^ _71887) ^ [_73863, _73865, _73867, _73869] : [-(aElementOf0(_73867, _73863)), aElementOf0(_73869, _73865), _73869 = _73867, _73865 = _73863], (74 ^ _71887) ^ [_74287, _74289, _74291, _74293] : [-(aSubsetOf0(_74291, _74287)), aSubsetOf0(_74293, _74289), _74293 = _74291, _74289 = _74287], (108 ^ _71887) ^ [_75409] : [aSet0(_75409), true___, -(true___)], (118 ^ _71887) ^ [_75664] : [aElement0(_75664), true___, -(true___)], (128 ^ _71887) ^ [_75919] : [aSet0(_75919), 131 ^ _71887 : [(132 ^ _71887) ^ [_76049] : [aElementOf0(_76049, _75919), -(aElement0(_76049))]]], (138 ^ _71887) ^ [_76250] : [aSet0(_76250), isFinite0(_76250), true___, -(true___)], (152 ^ _71887) ^ [_76620] : [_76620 = slcrc0, 155 ^ _71887 : [(156 ^ _71887) ^ [] : [-(aSet0(_76620))], (158 ^ _71887) ^ [_76801] : [aElementOf0(_76801, _76620)]]], (160 ^ _71887) ^ [_76869] : [-(_76869 = slcrc0), aSet0(_76869), -(aElementOf0(165 ^ [_76869], _76869))], (171 ^ _71887) ^ [] : [-(isFinite0(slcrc0))], (173 ^ _71887) ^ [_77251] : [aSet0(_77251), isCountable0(_77251), true___, -(true___)], (187 ^ _71887) ^ [_77592] : [isFinite0(_77592), aSet0(_77592), isCountable0(_77592)], (197 ^ _71887) ^ [_77862] : [_77862 = slcrc0, aSet0(_77862), isCountable0(_77862)], (207 ^ _71887) ^ [_78134] : [aSet0(_78134), 210 ^ _71887 : [(211 ^ _71887) ^ [_78310] : [aSubsetOf0(_78310, _78134), 214 ^ _71887 : [(215 ^ _71887) ^ [] : [-(aSet0(_78310))], (217 ^ _71887) ^ [_78519] : [aElementOf0(_78519, _78310), -(aElementOf0(_78519, _78134))]]], (223 ^ _71887) ^ [_78698] : [-(aSubsetOf0(_78698, _78134)), aSet0(_78698), 229 ^ _71887 : [(230 ^ _71887) ^ [] : [-(aElementOf0(228 ^ [_78134, _78698], _78698))], (232 ^ _71887) ^ [] : [aElementOf0(228 ^ [_78134, _78698], _78134)]]]]], (236 ^ _71887) ^ [_79135] : [aSet0(_79135), isFinite0(_79135), 243 ^ _71887 : [(244 ^ _71887) ^ [_79348] : [aSubsetOf0(_79348, _79135), -(isFinite0(_79348))]]], (250 ^ _71887) ^ [_79551] : [aSet0(_79551), -(aSubsetOf0(_79551, _79551))], (256 ^ _71887) ^ [_79753, _79755] : [aSet0(_79755), aSet0(_79753), -(_79755 = _79753), aSubsetOf0(_79755, _79753), aSubsetOf0(_79753, _79755)], (274 ^ _71887) ^ [_80242, _80244, _80246] : [aSet0(_80246), aSet0(_80244), aSet0(_80242), -(aSubsetOf0(_80246, _80242)), aSubsetOf0(_80246, _80244), aSubsetOf0(_80244, _80242)], (296 ^ _71887) ^ [_80828, _80830] : [aSet0(_80830), aElement0(_80828), 303 ^ _71887 : [(334 ^ _71887) ^ [_82089] : [-(_82089 = sdtpldt0(_80830, _80828)), aSet0(_82089), 342 ^ _71887 : [(343 ^ _71887) ^ [] : [-(aElementOf0(339 ^ [_80828, _80830, _82089], _82089))], (345 ^ _71887) ^ [] : [aElement0(339 ^ [_80828, _80830, _82089]), 348 ^ _71887 : [(349 ^ _71887) ^ [] : [aElementOf0(339 ^ [_80828, _80830, _82089], _80830)], (351 ^ _71887) ^ [] : [339 ^ [_80828, _80830, _82089] = _80828]]]], 352 ^ _71887 : [(361 ^ _71887) ^ [] : [aElementOf0(339 ^ [_80828, _80830, _82089], _82089)], (353 ^ _71887) ^ [] : [-(aElement0(339 ^ [_80828, _80830, _82089]))], (355 ^ _71887) ^ [] : [-(aElementOf0(339 ^ [_80828, _80830, _82089], _80830)), -(339 ^ [_80828, _80830, _82089] = _80828)]]], (304 ^ _71887) ^ [_81109] : [_81109 = sdtpldt0(_80830, _80828), 307 ^ _71887 : [(308 ^ _71887) ^ [] : [-(aSet0(_81109))], (310 ^ _71887) ^ [_81372] : [aElementOf0(_81372, _81109), 313 ^ _71887 : [(314 ^ _71887) ^ [] : [-(aElement0(_81372))], (316 ^ _71887) ^ [] : [-(aElementOf0(_81372, _80830)), -(_81372 = _80828)]]], (322 ^ _71887) ^ [_81727] : [-(aElementOf0(_81727, _81109)), aElement0(_81727), 327 ^ _71887 : [(328 ^ _71887) ^ [] : [aElementOf0(_81727, _80830)], (330 ^ _71887) ^ [] : [_81727 = _80828]]]]]]], (444 ^ _71887) ^ [] : [-(aElement0(xx))], (446 ^ _71887) ^ [] : [-(aSet0(xS))], (448 ^ _71887) ^ [] : [aElementOf0(xx, xS)], (434 ^ _71887) ^ [_85424] : [aSet0(_85424), 437 ^ _71887 : [(438 ^ _71887) ^ [_85561] : [aElementOf0(_85561, _85424), -(sdtpldt0(sdtmndt0(_85424, _85561), _85561) = _85424)]]], (365 ^ _71887) ^ [_83126, _83128] : [aSet0(_83128), aElement0(_83126), 372 ^ _71887 : [(403 ^ _71887) ^ [_84394] : [-(_84394 = sdtmndt0(_83128, _83126)), aSet0(_84394), 423 ^ _71887 : [(424 ^ _71887) ^ [] : [-(aElement0(408 ^ [_83126, _83128, _84394]))], (426 ^ _71887) ^ [] : [-(aElementOf0(408 ^ [_83126, _83128, _84394], _83128))], (428 ^ _71887) ^ [] : [408 ^ [_83126, _83128, _84394] = _83126], (430 ^ _71887) ^ [] : [aElementOf0(408 ^ [_83126, _83128, _84394], _84394)]], 411 ^ _71887 : [(412 ^ _71887) ^ [] : [-(aElementOf0(408 ^ [_83126, _83128, _84394], _84394))], (414 ^ _71887) ^ [] : [aElement0(408 ^ [_83126, _83128, _84394]), aElementOf0(408 ^ [_83126, _83128, _84394], _83128), -(408 ^ [_83126, _83128, _84394] = _83126)]]], (373 ^ _71887) ^ [_83409] : [_83409 = sdtmndt0(_83128, _83126), 376 ^ _71887 : [(377 ^ _71887) ^ [] : [-(aSet0(_83409))], (379 ^ _71887) ^ [_83674] : [aElementOf0(_83674, _83409), 382 ^ _71887 : [(383 ^ _71887) ^ [] : [-(aElement0(_83674))], (385 ^ _71887) ^ [] : [-(aElementOf0(_83674, _83128))], (387 ^ _71887) ^ [] : [_83674 = _83126]]], (389 ^ _71887) ^ [_84010] : [-(aElementOf0(_84010, _83409)), aElement0(_84010), aElementOf0(_84010, _83128), -(_84010 = _83126)]]]]]], input).
% 0.56/1.37 ncf('1',plain,[507 : aElementOf0(503 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx)), 566 : aElementOf0(562 ^ [], xS)],start(450 ^ 0)).
% 0.56/1.37 ncf('1.1',plain,[-(aElementOf0(503 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx))), aElement0(503 ^ []), aElementOf0(503 ^ [], sdtpldt0(xS, xx)), -(503 ^ [] = xx)],extension(490 ^ 3,bind([[_87196], [503 ^ []]]))).
% 0.56/1.37 ncf('1.1.1',plain,[-(aElement0(503 ^ [])), 132 : aElementOf0(503 ^ [], xS), 132 : aSet0(xS)],extension(128 ^ 4,bind([[_75919, _76049], [xS, 503 ^ []]]))).
% 0.56/1.37 ncf('1.1.1.1',plain,[-(aElementOf0(503 ^ [], xS))],extension(505 ^ 7)).
% 0.56/1.37 ncf('1.1.1.2',plain,[-(aSet0(xS))],extension(446 ^ 5)).
% 0.56/1.37 ncf('1.1.2',plain,[-(aElementOf0(503 ^ [], sdtpldt0(xS, xx))), aElement0(503 ^ []), 472 : aElementOf0(503 ^ [], xS)],extension(466 ^ 4,bind([[_86465], [503 ^ []]]))).
% 0.56/1.37 ncf('1.1.2.1',plain,[-(aElement0(503 ^ []))],lemmata('[1].x')).
% 0.56/1.37 ncf('1.1.2.2',plain,[-(aElementOf0(503 ^ [], xS))],extension(505 ^ 7)).
% 0.56/1.37 ncf('1.1.3',plain,[503 ^ [] = xx, -(aElementOf0(xx, xS)), aElementOf0(503 ^ [], xS), xS = xS],extension(60 ^ 4,bind([[_73863, _73865, _73867, _73869], [xS, xS, xx, 503 ^ []]]))).
% 0.56/1.37 ncf('1.1.3.1',plain,[aElementOf0(xx, xS)],extension(448 ^ 5)).
% 0.56/1.37 ncf('1.1.3.2',plain,[-(aElementOf0(503 ^ [], xS))],extension(505 ^ 5)).
% 0.56/1.37 ncf('1.1.3.3',plain,[-(xS = xS)],extension(2 ^ 5,bind([[_72031], [xS]]))).
% 0.56/1.37 ncf('1.2',plain,[-(aElementOf0(562 ^ [], xS)), 519 : -(562 ^ [] = xx), 519 : aElementOf0(562 ^ [], sdtpldt0(xS, xx))],extension(513 ^ 3,bind([[_87847], [562 ^ []]]))).
% 0.56/1.37 ncf('1.2.1',plain,[562 ^ [] = xx, aElementOf0(562 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx))],extension(539 ^ 6,bind([[_88591], [562 ^ []]]))).
% 0.56/1.37 ncf('1.2.1.1',plain,[-(aElementOf0(562 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx)))],extension(564 ^ 7)).
% 0.56/1.37 ncf('1.2.2',plain,[-(aElementOf0(562 ^ [], sdtpldt0(xS, xx))), aElementOf0(562 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx))],extension(539 ^ 4,bind([[_88591], [562 ^ []]]))).
% 0.56/1.37 ncf('1.2.2.1',plain,[-(aElementOf0(562 ^ [], sdtmndt0(sdtpldt0(xS, xx), xx)))],extension(564 ^ 5)).
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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