TSTP Solution File: NUM535+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM535+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 45.74s 44.98s
% Output : Proof 45.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM535+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n021.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 17:18:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 45.74/44.98
% 45.74/44.98 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 45.74/44.98 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.74/44.98 %-----------------------------------------------------
% 45.74/44.98 ncf(matrix, plain, [(438 ^ _87205) ^ [] : [439 ^ _87205 : [(495 ^ _87205) ^ [] : [aElementOf0(491 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))], (440 ^ _87205) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))], (442 ^ _87205) ^ [_87396] : [aElementOf0(_87396, sdtmndt0(xS, xx)), 445 ^ _87205 : [(450 ^ _87205) ^ [] : [_87396 = xx], (448 ^ _87205) ^ [] : [-(aElementOf0(_87396, xS))], (446 ^ _87205) ^ [] : [-(aElement0(_87396))]]], (466 ^ _87205) ^ [] : [-(aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)))], (497 ^ _87205) ^ [] : [aSubsetOf0(xS, sdtpldt0(sdtmndt0(xS, xx), xx))], (480 ^ _87205) ^ [_88456] : [-(aElementOf0(_88456, sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(_88456), 485 ^ _87205 : [(488 ^ _87205) ^ [] : [_88456 = xx], (486 ^ _87205) ^ [] : [aElementOf0(_88456, sdtmndt0(xS, xx))]]], (493 ^ _87205) ^ [] : [-(aElementOf0(491 ^ [], xS))], (468 ^ _87205) ^ [_88143] : [aElementOf0(_88143, sdtpldt0(sdtmndt0(xS, xx), xx)), 471 ^ _87205 : [(474 ^ _87205) ^ [] : [-(aElementOf0(_88143, sdtmndt0(xS, xx))), -(_88143 = xx)], (472 ^ _87205) ^ [] : [-(aElement0(_88143))]]], (452 ^ _87205) ^ [_87696] : [-(aElementOf0(_87696, sdtmndt0(xS, xx))), aElement0(_87696), aElementOf0(_87696, xS), -(_87696 = xx)]], 498 ^ _87205 : [(554 ^ _87205) ^ [] : [aElementOf0(550 ^ [], xS)], (499 ^ _87205) ^ [] : [-(aSet0(sdtmndt0(xS, xx)))], (501 ^ _87205) ^ [_89085] : [aElementOf0(_89085, sdtmndt0(xS, xx)), 504 ^ _87205 : [(509 ^ _87205) ^ [] : [_89085 = xx], (507 ^ _87205) ^ [] : [-(aElementOf0(_89085, xS))], (505 ^ _87205) ^ [] : [-(aElement0(_89085))]]], (525 ^ _87205) ^ [] : [-(aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)))], (556 ^ _87205) ^ [] : [aSubsetOf0(sdtpldt0(sdtmndt0(xS, xx), xx), xS)], (539 ^ _87205) ^ [_90145] : [-(aElementOf0(_90145, sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(_90145), 544 ^ _87205 : [(547 ^ _87205) ^ [] : [_90145 = xx], (545 ^ _87205) ^ [] : [aElementOf0(_90145, sdtmndt0(xS, xx))]]], (552 ^ _87205) ^ [] : [-(aElementOf0(550 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)))], (527 ^ _87205) ^ [_89832] : [aElementOf0(_89832, sdtpldt0(sdtmndt0(xS, xx), xx)), 530 ^ _87205 : [(533 ^ _87205) ^ [] : [-(aElementOf0(_89832, sdtmndt0(xS, xx))), -(_89832 = xx)], (531 ^ _87205) ^ [] : [-(aElement0(_89832))]]], (511 ^ _87205) ^ [_89385] : [-(aElementOf0(_89385, sdtmndt0(xS, xx))), aElement0(_89385), aElementOf0(_89385, xS), -(_89385 = xx)]]], !, (50 ^ _73569) ^ [_75202, _75204] : [-(aElement0(_75202)), _75204 = _75202, aElement0(_75204)], (236 ^ _73569) ^ [_80797] : [aSet0(_80797), isFinite0(_80797), 243 ^ _73569 : [(244 ^ _73569) ^ [_81010] : [aSubsetOf0(_81010, _80797), -(isFinite0(_81010))]]], (274 ^ _73569) ^ [_81904, _81906, _81908] : [aSet0(_81908), aSet0(_81906), aSet0(_81904), -(aSubsetOf0(_81908, _81904)), aSubsetOf0(_81908, _81906), aSubsetOf0(_81906, _81904)], (365 ^ _73569) ^ [_84788, _84790] : [aSet0(_84790), aElement0(_84788), 372 ^ _73569 : [(373 ^ _73569) ^ [_85071] : [_85071 = sdtmndt0(_84790, _84788), 376 ^ _73569 : [(389 ^ _73569) ^ [_85672] : [-(aElementOf0(_85672, _85071)), aElement0(_85672), aElementOf0(_85672, _84790), -(_85672 = _84788)], (379 ^ _73569) ^ [_85336] : [aElementOf0(_85336, _85071), 382 ^ _73569 : [(387 ^ _73569) ^ [] : [_85336 = _84788], (385 ^ _73569) ^ [] : [-(aElementOf0(_85336, _84790))], (383 ^ _73569) ^ [] : [-(aElement0(_85336))]]], (377 ^ _73569) ^ [] : [-(aSet0(_85071))]]], (403 ^ _73569) ^ [_86056] : [-(_86056 = sdtmndt0(_84790, _84788)), aSet0(_86056), 423 ^ _73569 : [(426 ^ _73569) ^ [] : [-(aElementOf0(408 ^ [_84788, _84790, _86056], _84790))], (428 ^ _73569) ^ [] : [408 ^ [_84788, _84790, _86056] = _84788], (430 ^ _73569) ^ [] : [aElementOf0(408 ^ [_84788, _84790, _86056], _86056)], (424 ^ _73569) ^ [] : [-(aElement0(408 ^ [_84788, _84790, _86056]))]], 411 ^ _73569 : [(414 ^ _73569) ^ [] : [aElement0(408 ^ [_84788, _84790, _86056]), aElementOf0(408 ^ [_84788, _84790, _86056], _84790), -(408 ^ [_84788, _84790, _86056] = _84788)], (412 ^ _73569) ^ [] : [-(aElementOf0(408 ^ [_84788, _84790, _86056], _86056))]]]]], (256 ^ _73569) ^ [_81415, _81417] : [aSet0(_81417), aSet0(_81415), -(_81417 = _81415), aSubsetOf0(_81417, _81415), aSubsetOf0(_81415, _81417)], (108 ^ _73569) ^ [_77071] : [aSet0(_77071), true___, -(true___)], (296 ^ _73569) ^ [_82490, _82492] : [aSet0(_82492), aElement0(_82490), 303 ^ _73569 : [(304 ^ _73569) ^ [_82771] : [_82771 = sdtpldt0(_82492, _82490), 307 ^ _73569 : [(322 ^ _73569) ^ [_83389] : [-(aElementOf0(_83389, _82771)), aElement0(_83389), 327 ^ _73569 : [(330 ^ _73569) ^ [] : [_83389 = _82490], (328 ^ _73569) ^ [] : [aElementOf0(_83389, _82492)]]], (310 ^ _73569) ^ [_83034] : [aElementOf0(_83034, _82771), 313 ^ _73569 : [(316 ^ _73569) ^ [] : [-(aElementOf0(_83034, _82492)), -(_83034 = _82490)], (314 ^ _73569) ^ [] : [-(aElement0(_83034))]]], (308 ^ _73569) ^ [] : [-(aSet0(_82771))]]], (334 ^ _73569) ^ [_83751] : [-(_83751 = sdtpldt0(_82492, _82490)), aSet0(_83751), 342 ^ _73569 : [(345 ^ _73569) ^ [] : [aElement0(339 ^ [_82490, _82492, _83751]), 348 ^ _73569 : [(351 ^ _73569) ^ [] : [339 ^ [_82490, _82492, _83751] = _82490], (349 ^ _73569) ^ [] : [aElementOf0(339 ^ [_82490, _82492, _83751], _82492)]]], (343 ^ _73569) ^ [] : [-(aElementOf0(339 ^ [_82490, _82492, _83751], _83751))]], 352 ^ _73569 : [(355 ^ _73569) ^ [] : [-(aElementOf0(339 ^ [_82490, _82492, _83751], _82492)), -(339 ^ [_82490, _82492, _83751] = _82490)], (353 ^ _73569) ^ [] : [-(aElement0(339 ^ [_82490, _82492, _83751]))], (361 ^ _73569) ^ [] : [aElementOf0(339 ^ [_82490, _82492, _83751], _83751)]]]]], (128 ^ _73569) ^ [_77581] : [aSet0(_77581), 131 ^ _73569 : [(132 ^ _73569) ^ [_77711] : [aElementOf0(_77711, _77581), -(aElement0(_77711))]]], (74 ^ _73569) ^ [_75949, _75951, _75953, _75955] : [-(aSubsetOf0(_75953, _75949)), aSubsetOf0(_75955, _75951), _75955 = _75953, _75951 = _75949], (436 ^ _73569) ^ [] : [-(aElementOf0(xx, xS))], (160 ^ _73569) ^ [_78531] : [-(_78531 = slcrc0), aSet0(_78531), -(aElementOf0(165 ^ [_78531], _78531))], (30 ^ _73569) ^ [_74612, _74614] : [-(isFinite0(_74612)), _74614 = _74612, isFinite0(_74614)], (173 ^ _73569) ^ [_78913] : [aSet0(_78913), isCountable0(_78913), true___, -(true___)], (60 ^ _73569) ^ [_75525, _75527, _75529, _75531] : [-(aElementOf0(_75529, _75525)), aElementOf0(_75531, _75527), _75531 = _75529, _75527 = _75525], (171 ^ _73569) ^ [] : [-(isFinite0(slcrc0))], (138 ^ _73569) ^ [_77912] : [aSet0(_77912), isFinite0(_77912), true___, -(true___)], (20 ^ _73569) ^ [_74317, _74319] : [-(isCountable0(_74317)), _74319 = _74317, isCountable0(_74319)], (88 ^ _73569) ^ [_76409, _76411, _76413, _76415] : [-(sdtpldt0(_76415, _76411) = sdtpldt0(_76413, _76409)), _76415 = _76413, _76411 = _76409], (197 ^ _73569) ^ [_79524] : [_79524 = slcrc0, aSet0(_79524), isCountable0(_79524)], (10 ^ _73569) ^ [_74004, _74006, _74008] : [-(_74008 = _74004), _74008 = _74006, _74006 = _74004], (434 ^ _73569) ^ [] : [-(aSet0(xS))], (40 ^ _73569) ^ [_74907, _74909] : [-(aSet0(_74907)), _74909 = _74907, aSet0(_74909)], (152 ^ _73569) ^ [_78282] : [_78282 = slcrc0, 155 ^ _73569 : [(158 ^ _73569) ^ [_78463] : [aElementOf0(_78463, _78282)], (156 ^ _73569) ^ [] : [-(aSet0(_78282))]]], (2 ^ _73569) ^ [_73693] : [-(_73693 = _73693)], (207 ^ _73569) ^ [_79796] : [aSet0(_79796), 210 ^ _73569 : [(223 ^ _73569) ^ [_80360] : [-(aSubsetOf0(_80360, _79796)), aSet0(_80360), 229 ^ _73569 : [(232 ^ _73569) ^ [] : [aElementOf0(228 ^ [_79796, _80360], _79796)], (230 ^ _73569) ^ [] : [-(aElementOf0(228 ^ [_79796, _80360], _80360))]]], (211 ^ _73569) ^ [_79972] : [aSubsetOf0(_79972, _79796), 214 ^ _73569 : [(217 ^ _73569) ^ [_80181] : [aElementOf0(_80181, _79972), -(aElementOf0(_80181, _79796))], (215 ^ _73569) ^ [] : [-(aSet0(_79972))]]]]], (118 ^ _73569) ^ [_77326] : [aElement0(_77326), true___, -(true___)], (4 ^ _73569) ^ [_73800, _73802] : [_73802 = _73800, -(_73800 = _73802)], (250 ^ _73569) ^ [_81213] : [aSet0(_81213), -(aSubsetOf0(_81213, _81213))], (187 ^ _73569) ^ [_79254] : [isFinite0(_79254), aSet0(_79254), isCountable0(_79254)], (98 ^ _73569) ^ [_76748, _76750, _76752, _76754] : [-(sdtmndt0(_76754, _76750) = sdtmndt0(_76752, _76748)), _76754 = _76752, _76750 = _76748]], input).
% 45.74/44.98 ncf('1',plain,[495 : aElementOf0(491 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)), 527 : aElementOf0(550 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)), 533 : -(aElementOf0(550 ^ [], sdtmndt0(xS, xx))), 533 : -(550 ^ [] = xx)],start(438 ^ 0,bind([[_89832], [550 ^ []]]))).
% 45.74/44.98 ncf('1.1',plain,[-(aElementOf0(491 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(491 ^ []), 488 : 491 ^ [] = xx],extension(480 ^ 3,bind([[_88456], [491 ^ []]]))).
% 45.74/44.98 ncf('1.1.1',plain,[-(aElement0(491 ^ [])), 132 : aElementOf0(491 ^ [], xS), 132 : aSet0(xS)],extension(128 ^ 4,bind([[_77581, _77711], [xS, 491 ^ []]]))).
% 45.74/44.98 ncf('1.1.1.1',plain,[-(aElementOf0(491 ^ [], xS))],extension(493 ^ 7)).
% 45.74/44.98 ncf('1.1.1.2',plain,[-(aSet0(xS))],extension(434 ^ 5)).
% 45.74/44.98 ncf('1.1.2',plain,[-(491 ^ [] = xx), -(aElementOf0(491 ^ [], sdtmndt0(xS, xx))), aElement0(491 ^ []), aElementOf0(491 ^ [], xS)],extension(452 ^ 6,bind([[_87696], [491 ^ []]]))).
% 45.74/44.98 ncf('1.1.2.1',plain,[aElementOf0(491 ^ [], sdtmndt0(xS, xx))],extension(486 ^ 7)).
% 45.74/44.98 ncf('1.1.2.2',plain,[-(aElement0(491 ^ []))],lemmata('[1].x')).
% 45.74/44.98 ncf('1.1.2.3',plain,[-(aElementOf0(491 ^ [], xS))],extension(493 ^ 7)).
% 45.74/44.98 ncf('1.2',plain,[-(aElementOf0(550 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)))],extension(552 ^ 3)).
% 45.74/44.98 ncf('1.3',plain,[aElementOf0(550 ^ [], sdtmndt0(xS, xx)), 507 : -(aElementOf0(550 ^ [], xS))],extension(501 ^ 5,bind([[_89085], [550 ^ []]]))).
% 45.74/44.98 ncf('1.3.1',plain,[aElementOf0(550 ^ [], xS)],extension(554 ^ 8)).
% 45.74/44.98 ncf('1.4',plain,[550 ^ [] = xx, -(xx = 550 ^ [])],extension(4 ^ 5,bind([[_73800, _73802], [xx, 550 ^ []]]))).
% 45.74/44.98 ncf('1.4.1',plain,[xx = 550 ^ [], -(aElementOf0(550 ^ [], xS)), aElementOf0(xx, xS), xS = xS],extension(60 ^ 6,bind([[_75525, _75527, _75529, _75531], [xS, xS, 550 ^ [], xx]]))).
% 45.74/44.98 ncf('1.4.1.1',plain,[aElementOf0(550 ^ [], xS)],extension(554 ^ 7)).
% 45.74/44.98 ncf('1.4.1.2',plain,[-(aElementOf0(xx, xS))],extension(436 ^ 7)).
% 45.74/44.98 ncf('1.4.1.3',plain,[-(xS = xS)],extension(2 ^ 7,bind([[_73693], [xS]]))).
% 45.74/44.98 %-----------------------------------------------------
% 45.74/44.98 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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