TSTP Solution File: NUM536+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 4.97s 5.53s
% Output : Proof 4.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM536+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 17:10:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 4.97/5.53
% 4.97/5.53 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 4.97/5.53 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.97/5.53 %-----------------------------------------------------
% 4.97/5.53 ncf(matrix, plain, [(502 ^ _58458) ^ [] : [sdtmndt0(sdtpldt0(xS, xx), xx) = xS], (476 ^ _58458) ^ [] : [-(aSet0(sdtmndt0(sdtpldt0(xS, xx), xx)))], (478 ^ _58458) ^ [_73437] : [aElementOf0(_73437, sdtmndt0(sdtpldt0(xS, xx), xx)), 481 ^ _58458 : [(482 ^ _58458) ^ [] : [-(aElement0(_73437))], (484 ^ _58458) ^ [] : [-(aElementOf0(_73437, sdtpldt0(xS, xx)))], (486 ^ _58458) ^ [] : [_73437 = xx]]], (488 ^ _58458) ^ [_73737] : [-(aElementOf0(_73737, sdtmndt0(sdtpldt0(xS, xx), xx))), aElement0(_73737), aElementOf0(_73737, sdtpldt0(xS, xx)), -(_73737 = xx)], (450 ^ _58458) ^ [] : [-(aSet0(sdtpldt0(xS, xx)))], (452 ^ _58458) ^ [_72693] : [aElementOf0(_72693, sdtpldt0(xS, xx)), 455 ^ _58458 : [(456 ^ _58458) ^ [] : [-(aElement0(_72693))], (458 ^ _58458) ^ [] : [-(aElementOf0(_72693, xS)), -(_72693 = xx)]]], (464 ^ _58458) ^ [_73006] : [-(aElementOf0(_73006, sdtpldt0(xS, xx))), aElement0(_73006), 469 ^ _58458 : [(470 ^ _58458) ^ [] : [aElementOf0(_73006, xS)], (472 ^ _58458) ^ [] : [_73006 = xx]]], (88 ^ _58458) ^ [_61318, _61320, _61322, _61324] : [-(sdtmndt0(_61324, _61320) = sdtmndt0(_61322, _61318)), _61324 = _61322, _61320 = _61318], (98 ^ _58458) ^ [_61657, _61659, _61661, _61663] : [-(sdtpldt0(_61663, _61659) = sdtpldt0(_61661, _61657)), _61663 = _61661, _61659 = _61657], (2 ^ _58458) ^ [_58602] : [-(_58602 = _58602)], (4 ^ _58458) ^ [_58709, _58711] : [_58711 = _58709, -(_58709 = _58711)], (10 ^ _58458) ^ [_58913, _58915, _58917] : [-(_58917 = _58913), _58917 = _58915, _58915 = _58913], (20 ^ _58458) ^ [_59226, _59228] : [-(isCountable0(_59226)), _59228 = _59226, isCountable0(_59228)], (30 ^ _58458) ^ [_59521, _59523] : [-(isFinite0(_59521)), _59523 = _59521, isFinite0(_59523)], (40 ^ _58458) ^ [_59844, _59846, _59848, _59850] : [-(aSubsetOf0(_59848, _59844)), aSubsetOf0(_59850, _59846), _59850 = _59848, _59846 = _59844], (54 ^ _58458) ^ [_60260, _60262] : [-(aSet0(_60260)), _60262 = _60260, aSet0(_60262)], (64 ^ _58458) ^ [_60555, _60557] : [-(aElement0(_60555)), _60557 = _60555, aElement0(_60557)], (74 ^ _58458) ^ [_60858, _60860, _60862, _60864] : [-(aElementOf0(_60862, _60858)), aElementOf0(_60864, _60860), _60864 = _60862, _60860 = _60858], (108 ^ _58458) ^ [_61980] : [aSet0(_61980), true___, -(true___)], (118 ^ _58458) ^ [_62235] : [aElement0(_62235), true___, -(true___)], (128 ^ _58458) ^ [_62490] : [aSet0(_62490), 131 ^ _58458 : [(132 ^ _58458) ^ [_62620] : [aElementOf0(_62620, _62490), -(aElement0(_62620))]]], (138 ^ _58458) ^ [_62821] : [aSet0(_62821), isFinite0(_62821), true___, -(true___)], (152 ^ _58458) ^ [_63191] : [_63191 = slcrc0, 155 ^ _58458 : [(156 ^ _58458) ^ [] : [-(aSet0(_63191))], (158 ^ _58458) ^ [_63372] : [aElementOf0(_63372, _63191)]]], (160 ^ _58458) ^ [_63440] : [-(_63440 = slcrc0), aSet0(_63440), -(aElementOf0(165 ^ [_63440], _63440))], (171 ^ _58458) ^ [] : [-(isFinite0(slcrc0))], (173 ^ _58458) ^ [_63822] : [aSet0(_63822), isCountable0(_63822), true___, -(true___)], (187 ^ _58458) ^ [_64163] : [isFinite0(_64163), aSet0(_64163), isCountable0(_64163)], (197 ^ _58458) ^ [_64433] : [_64433 = slcrc0, aSet0(_64433), isCountable0(_64433)], (207 ^ _58458) ^ [_64705] : [aSet0(_64705), 210 ^ _58458 : [(211 ^ _58458) ^ [_64881] : [aSubsetOf0(_64881, _64705), 214 ^ _58458 : [(215 ^ _58458) ^ [] : [-(aSet0(_64881))], (217 ^ _58458) ^ [_65090] : [aElementOf0(_65090, _64881), -(aElementOf0(_65090, _64705))]]], (223 ^ _58458) ^ [_65269] : [-(aSubsetOf0(_65269, _64705)), aSet0(_65269), 229 ^ _58458 : [(230 ^ _58458) ^ [] : [-(aElementOf0(228 ^ [_64705, _65269], _65269))], (232 ^ _58458) ^ [] : [aElementOf0(228 ^ [_64705, _65269], _64705)]]]]], (236 ^ _58458) ^ [_65706] : [aSet0(_65706), isFinite0(_65706), 243 ^ _58458 : [(244 ^ _58458) ^ [_65919] : [aSubsetOf0(_65919, _65706), -(isFinite0(_65919))]]], (250 ^ _58458) ^ [_66122] : [aSet0(_66122), -(aSubsetOf0(_66122, _66122))], (256 ^ _58458) ^ [_66324, _66326] : [aSet0(_66326), aSet0(_66324), -(_66326 = _66324), aSubsetOf0(_66326, _66324), aSubsetOf0(_66324, _66326)], (274 ^ _58458) ^ [_66813, _66815, _66817] : [aSet0(_66817), aSet0(_66815), aSet0(_66813), -(aSubsetOf0(_66817, _66813)), aSubsetOf0(_66817, _66815), aSubsetOf0(_66815, _66813)], (296 ^ _58458) ^ [_67399, _67401] : [aSet0(_67401), aElement0(_67399), 303 ^ _58458 : [(334 ^ _58458) ^ [_68660] : [-(_68660 = sdtpldt0(_67401, _67399)), aSet0(_68660), 342 ^ _58458 : [(343 ^ _58458) ^ [] : [-(aElementOf0(339 ^ [_67399, _67401, _68660], _68660))], (345 ^ _58458) ^ [] : [aElement0(339 ^ [_67399, _67401, _68660]), 348 ^ _58458 : [(349 ^ _58458) ^ [] : [aElementOf0(339 ^ [_67399, _67401, _68660], _67401)], (351 ^ _58458) ^ [] : [339 ^ [_67399, _67401, _68660] = _67399]]]], 352 ^ _58458 : [(361 ^ _58458) ^ [] : [aElementOf0(339 ^ [_67399, _67401, _68660], _68660)], (353 ^ _58458) ^ [] : [-(aElement0(339 ^ [_67399, _67401, _68660]))], (355 ^ _58458) ^ [] : [-(aElementOf0(339 ^ [_67399, _67401, _68660], _67401)), -(339 ^ [_67399, _67401, _68660] = _67399)]]], (304 ^ _58458) ^ [_67680] : [_67680 = sdtpldt0(_67401, _67399), 307 ^ _58458 : [(308 ^ _58458) ^ [] : [-(aSet0(_67680))], (310 ^ _58458) ^ [_67943] : [aElementOf0(_67943, _67680), 313 ^ _58458 : [(314 ^ _58458) ^ [] : [-(aElement0(_67943))], (316 ^ _58458) ^ [] : [-(aElementOf0(_67943, _67401)), -(_67943 = _67399)]]], (322 ^ _58458) ^ [_68298] : [-(aElementOf0(_68298, _67680)), aElement0(_68298), 327 ^ _58458 : [(328 ^ _58458) ^ [] : [aElementOf0(_68298, _67401)], (330 ^ _58458) ^ [] : [_68298 = _67399]]]]]]], (444 ^ _58458) ^ [] : [-(aElement0(xx))], (446 ^ _58458) ^ [] : [-(aSet0(xS))], (448 ^ _58458) ^ [] : [aElementOf0(xx, xS)], (434 ^ _58458) ^ [_71995] : [aSet0(_71995), 437 ^ _58458 : [(438 ^ _58458) ^ [_72132] : [aElementOf0(_72132, _71995), -(sdtpldt0(sdtmndt0(_71995, _72132), _72132) = _71995)]]], (365 ^ _58458) ^ [_69697, _69699] : [aSet0(_69699), aElement0(_69697), 372 ^ _58458 : [(403 ^ _58458) ^ [_70965] : [-(_70965 = sdtmndt0(_69699, _69697)), aSet0(_70965), 423 ^ _58458 : [(424 ^ _58458) ^ [] : [-(aElement0(408 ^ [_69697, _69699, _70965]))], (426 ^ _58458) ^ [] : [-(aElementOf0(408 ^ [_69697, _69699, _70965], _69699))], (428 ^ _58458) ^ [] : [408 ^ [_69697, _69699, _70965] = _69697], (430 ^ _58458) ^ [] : [aElementOf0(408 ^ [_69697, _69699, _70965], _70965)]], 411 ^ _58458 : [(412 ^ _58458) ^ [] : [-(aElementOf0(408 ^ [_69697, _69699, _70965], _70965))], (414 ^ _58458) ^ [] : [aElement0(408 ^ [_69697, _69699, _70965]), aElementOf0(408 ^ [_69697, _69699, _70965], _69699), -(408 ^ [_69697, _69699, _70965] = _69697)]]], (373 ^ _58458) ^ [_69980] : [_69980 = sdtmndt0(_69699, _69697), 376 ^ _58458 : [(377 ^ _58458) ^ [] : [-(aSet0(_69980))], (379 ^ _58458) ^ [_70245] : [aElementOf0(_70245, _69980), 382 ^ _58458 : [(383 ^ _58458) ^ [] : [-(aElement0(_70245))], (385 ^ _58458) ^ [] : [-(aElementOf0(_70245, _69699))], (387 ^ _58458) ^ [] : [_70245 = _69697]]], (389 ^ _58458) ^ [_70581] : [-(aElementOf0(_70581, _69980)), aElement0(_70581), aElementOf0(_70581, _69699), -(_70581 = _69697)]]]]]], input).
% 4.97/5.53 ncf('1',plain,[aElementOf0(xx, xS)],start(448 ^ 0)).
% 4.97/5.53 ncf('1.1',plain,[-(aElementOf0(xx, xS)), aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS), 408 ^ [xx, sdtpldt0(xS, xx), xS] = xx, xS = xS],extension(74 ^ 1,bind([[_60858, _60860, _60862, _60864], [xS, xS, xx, 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 4.97/5.53 ncf('1.1.1',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)), 458 : -(408 ^ [xx, sdtpldt0(xS, xx), xS] = xx), 458 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))],extension(452 ^ 2,bind([[_72693], [408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 4.97/5.53 ncf('1.1.1.1',plain,[408 ^ [xx, sdtpldt0(xS, xx), xS] = xx, 403 : -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), 403 : aSet0(xS), 412 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)), 403 : aSet0(sdtpldt0(xS, xx)), 403 : aElement0(xx)],extension(365 ^ 5,bind([[_69697, _69699, _70965], [xx, sdtpldt0(xS, xx), xS]]))).
% 4.97/5.53 ncf('1.1.1.1.1',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx), -(sdtmndt0(sdtpldt0(xS, xx), xx) = xS)],extension(4 ^ 8,bind([[_58709, _58711], [sdtmndt0(sdtpldt0(xS, xx), xx), xS]]))).
% 4.97/5.53 ncf('1.1.1.1.1.1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],extension(502 ^ 9)).
% 4.97/5.53 ncf('1.1.1.1.2',plain,[-(aSet0(xS))],extension(446 ^ 8)).
% 4.97/5.53 ncf('1.1.1.1.3',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)],reduction('1.1')).
% 4.97/5.53 ncf('1.1.1.1.4',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(450 ^ 6)).
% 4.97/5.53 ncf('1.1.1.1.5',plain,[-(aElement0(xx))],extension(444 ^ 6)).
% 4.97/5.53 ncf('1.1.1.2',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))), 403 : -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), 403 : aSet0(xS), 412 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)), 403 : aSet0(sdtpldt0(xS, xx)), 403 : aElement0(xx)],extension(365 ^ 3,bind([[_69697, _69699, _70965], [xx, sdtpldt0(xS, xx), xS]]))).
% 4.97/5.53 ncf('1.1.1.2.1',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx), -(sdtmndt0(sdtpldt0(xS, xx), xx) = xS)],extension(4 ^ 6,bind([[_58709, _58711], [sdtmndt0(sdtpldt0(xS, xx), xx), xS]]))).
% 4.97/5.53 ncf('1.1.1.2.1.1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],extension(502 ^ 7)).
% 4.97/5.53 ncf('1.1.1.2.2',plain,[-(aSet0(xS))],extension(446 ^ 6)).
% 4.97/5.53 ncf('1.1.1.2.3',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)],reduction('1.1')).
% 4.97/5.53 ncf('1.1.1.2.4',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(450 ^ 4)).
% 4.97/5.53 ncf('1.1.1.2.5',plain,[-(aElement0(xx))],extension(444 ^ 4)).
% 4.97/5.53 ncf('1.1.2',plain,[-(408 ^ [xx, sdtpldt0(xS, xx), xS] = xx), 414 : aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]), 414 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx)), 414 : -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), 414 : aSet0(xS), 426 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))), 403 : aSet0(sdtpldt0(xS, xx)), 403 : aElement0(xx)],extension(365 ^ 2,bind([[_69697, _69699, _70965], [xx, sdtpldt0(xS, xx), xS]]))).
% 4.97/5.53 ncf('1.1.2.1',plain,[-(aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS])), 132 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS), 132 : aSet0(xS)],extension(128 ^ 7,bind([[_62490, _62620], [xS, 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 4.97/5.53 ncf('1.1.2.1.1',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS))],extension(412 ^ 10)).
% 4.97/5.53 ncf('1.1.2.1.2',plain,[-(aSet0(xS))],extension(446 ^ 8)).
% 4.97/5.53 ncf('1.1.2.2',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))), aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]), 470 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)],extension(464 ^ 7,bind([[_73006], [408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 4.97/5.53 ncf('1.1.2.2.1',plain,[-(aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]))],lemmata('[1, 1].x')).
% 4.97/5.53 ncf('1.1.2.2.2',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS))],lemmata('[1].x')).
% 4.97/5.53 ncf('1.1.2.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx), -(sdtmndt0(sdtpldt0(xS, xx), xx) = xS)],extension(4 ^ 5,bind([[_58709, _58711], [sdtmndt0(sdtpldt0(xS, xx), xx), xS]]))).
% 4.97/5.53 ncf('1.1.2.3.1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],extension(502 ^ 6)).
% 4.97/5.53 ncf('1.1.2.4',plain,[-(aSet0(xS))],extension(446 ^ 5)).
% 4.97/5.53 ncf('1.1.2.5',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx)), 458 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)), 458 : -(408 ^ [xx, sdtpldt0(xS, xx), xS] = xx)],extension(452 ^ 7,bind([[_72693], [408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 4.97/5.53 ncf('1.1.2.5.1',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)],extension(430 ^ 10)).
% 4.97/5.53 ncf('1.1.2.5.2',plain,[408 ^ [xx, sdtpldt0(xS, xx), xS] = xx],reduction('1.1')).
% 4.97/5.53 ncf('1.1.2.6',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(450 ^ 3)).
% 4.97/5.53 ncf('1.1.2.7',plain,[-(aElement0(xx))],extension(444 ^ 3)).
% 4.97/5.53 ncf('1.1.3',plain,[-(xS = xS)],extension(2 ^ 2,bind([[_58602], [xS]]))).
% 4.97/5.53 %-----------------------------------------------------
% 4.97/5.53 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------