TSTP Solution File: NUM536+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 0.76s 1.37s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM536+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 17:29:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.76/1.37
% 0.76/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.76/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/1.37 %-----------------------------------------------------
% 0.76/1.37 ncf(matrix, plain, [(450 ^ _55510) ^ [] : [sdtmndt0(sdtpldt0(xS, xx), xx) = xS], (88 ^ _55510) ^ [_58370, _58372, _58374, _58376] : [-(sdtmndt0(_58376, _58372) = sdtmndt0(_58374, _58370)), _58376 = _58374, _58372 = _58370], (98 ^ _55510) ^ [_58709, _58711, _58713, _58715] : [-(sdtpldt0(_58715, _58711) = sdtpldt0(_58713, _58709)), _58715 = _58713, _58711 = _58709], (2 ^ _55510) ^ [_55654] : [-(_55654 = _55654)], (4 ^ _55510) ^ [_55761, _55763] : [_55763 = _55761, -(_55761 = _55763)], (10 ^ _55510) ^ [_55965, _55967, _55969] : [-(_55969 = _55965), _55969 = _55967, _55967 = _55965], (20 ^ _55510) ^ [_56278, _56280] : [-(isCountable0(_56278)), _56280 = _56278, isCountable0(_56280)], (30 ^ _55510) ^ [_56573, _56575] : [-(isFinite0(_56573)), _56575 = _56573, isFinite0(_56575)], (40 ^ _55510) ^ [_56896, _56898, _56900, _56902] : [-(aSubsetOf0(_56900, _56896)), aSubsetOf0(_56902, _56898), _56902 = _56900, _56898 = _56896], (54 ^ _55510) ^ [_57312, _57314] : [-(aElement0(_57312)), _57314 = _57312, aElement0(_57314)], (64 ^ _55510) ^ [_57607, _57609] : [-(aSet0(_57607)), _57609 = _57607, aSet0(_57609)], (74 ^ _55510) ^ [_57910, _57912, _57914, _57916] : [-(aElementOf0(_57914, _57910)), aElementOf0(_57916, _57912), _57916 = _57914, _57912 = _57910], (108 ^ _55510) ^ [_59032] : [aSet0(_59032), true___, -(true___)], (118 ^ _55510) ^ [_59287] : [aElement0(_59287), true___, -(true___)], (128 ^ _55510) ^ [_59542] : [aSet0(_59542), 131 ^ _55510 : [(132 ^ _55510) ^ [_59672] : [aElementOf0(_59672, _59542), -(aElement0(_59672))]]], (138 ^ _55510) ^ [_59873] : [aSet0(_59873), isFinite0(_59873), true___, -(true___)], (152 ^ _55510) ^ [_60243] : [_60243 = slcrc0, 155 ^ _55510 : [(156 ^ _55510) ^ [] : [-(aSet0(_60243))], (158 ^ _55510) ^ [_60424] : [aElementOf0(_60424, _60243)]]], (160 ^ _55510) ^ [_60492] : [-(_60492 = slcrc0), aSet0(_60492), -(aElementOf0(165 ^ [_60492], _60492))], (171 ^ _55510) ^ [] : [-(isFinite0(slcrc0))], (173 ^ _55510) ^ [_60874] : [aSet0(_60874), isCountable0(_60874), true___, -(true___)], (187 ^ _55510) ^ [_61215] : [isFinite0(_61215), aSet0(_61215), isCountable0(_61215)], (197 ^ _55510) ^ [_61485] : [_61485 = slcrc0, aSet0(_61485), isCountable0(_61485)], (207 ^ _55510) ^ [_61757] : [aSet0(_61757), 210 ^ _55510 : [(211 ^ _55510) ^ [_61933] : [aSubsetOf0(_61933, _61757), 214 ^ _55510 : [(215 ^ _55510) ^ [] : [-(aSet0(_61933))], (217 ^ _55510) ^ [_62142] : [aElementOf0(_62142, _61933), -(aElementOf0(_62142, _61757))]]], (223 ^ _55510) ^ [_62321] : [-(aSubsetOf0(_62321, _61757)), aSet0(_62321), 229 ^ _55510 : [(230 ^ _55510) ^ [] : [-(aElementOf0(228 ^ [_61757, _62321], _62321))], (232 ^ _55510) ^ [] : [aElementOf0(228 ^ [_61757, _62321], _61757)]]]]], (236 ^ _55510) ^ [_62758] : [aSet0(_62758), isFinite0(_62758), 243 ^ _55510 : [(244 ^ _55510) ^ [_62971] : [aSubsetOf0(_62971, _62758), -(isFinite0(_62971))]]], (250 ^ _55510) ^ [_63174] : [aSet0(_63174), -(aSubsetOf0(_63174, _63174))], (256 ^ _55510) ^ [_63376, _63378] : [aSet0(_63378), aSet0(_63376), -(_63378 = _63376), aSubsetOf0(_63378, _63376), aSubsetOf0(_63376, _63378)], (274 ^ _55510) ^ [_63865, _63867, _63869] : [aSet0(_63869), aSet0(_63867), aSet0(_63865), -(aSubsetOf0(_63869, _63865)), aSubsetOf0(_63869, _63867), aSubsetOf0(_63867, _63865)], (296 ^ _55510) ^ [_64451, _64453] : [aSet0(_64453), aElement0(_64451), 303 ^ _55510 : [(334 ^ _55510) ^ [_65712] : [-(_65712 = sdtpldt0(_64453, _64451)), aSet0(_65712), 342 ^ _55510 : [(343 ^ _55510) ^ [] : [-(aElementOf0(339 ^ [_64451, _64453, _65712], _65712))], (345 ^ _55510) ^ [] : [aElement0(339 ^ [_64451, _64453, _65712]), 348 ^ _55510 : [(349 ^ _55510) ^ [] : [aElementOf0(339 ^ [_64451, _64453, _65712], _64453)], (351 ^ _55510) ^ [] : [339 ^ [_64451, _64453, _65712] = _64451]]]], 352 ^ _55510 : [(361 ^ _55510) ^ [] : [aElementOf0(339 ^ [_64451, _64453, _65712], _65712)], (353 ^ _55510) ^ [] : [-(aElement0(339 ^ [_64451, _64453, _65712]))], (355 ^ _55510) ^ [] : [-(aElementOf0(339 ^ [_64451, _64453, _65712], _64453)), -(339 ^ [_64451, _64453, _65712] = _64451)]]], (304 ^ _55510) ^ [_64732] : [_64732 = sdtpldt0(_64453, _64451), 307 ^ _55510 : [(308 ^ _55510) ^ [] : [-(aSet0(_64732))], (310 ^ _55510) ^ [_64995] : [aElementOf0(_64995, _64732), 313 ^ _55510 : [(314 ^ _55510) ^ [] : [-(aElement0(_64995))], (316 ^ _55510) ^ [] : [-(aElementOf0(_64995, _64453)), -(_64995 = _64451)]]], (322 ^ _55510) ^ [_65350] : [-(aElementOf0(_65350, _64732)), aElement0(_65350), 327 ^ _55510 : [(328 ^ _55510) ^ [] : [aElementOf0(_65350, _64453)], (330 ^ _55510) ^ [] : [_65350 = _64451]]]]]]], (444 ^ _55510) ^ [] : [-(aElement0(xx))], (446 ^ _55510) ^ [] : [-(aSet0(xS))], (448 ^ _55510) ^ [] : [aElementOf0(xx, xS)], (434 ^ _55510) ^ [_69047] : [aSet0(_69047), 437 ^ _55510 : [(438 ^ _55510) ^ [_69184] : [aElementOf0(_69184, _69047), -(sdtpldt0(sdtmndt0(_69047, _69184), _69184) = _69047)]]], (365 ^ _55510) ^ [_66749, _66751] : [aSet0(_66751), aElement0(_66749), 372 ^ _55510 : [(403 ^ _55510) ^ [_68017] : [-(_68017 = sdtmndt0(_66751, _66749)), aSet0(_68017), 423 ^ _55510 : [(424 ^ _55510) ^ [] : [-(aElement0(408 ^ [_66749, _66751, _68017]))], (426 ^ _55510) ^ [] : [-(aElementOf0(408 ^ [_66749, _66751, _68017], _66751))], (428 ^ _55510) ^ [] : [408 ^ [_66749, _66751, _68017] = _66749], (430 ^ _55510) ^ [] : [aElementOf0(408 ^ [_66749, _66751, _68017], _68017)]], 411 ^ _55510 : [(412 ^ _55510) ^ [] : [-(aElementOf0(408 ^ [_66749, _66751, _68017], _68017))], (414 ^ _55510) ^ [] : [aElement0(408 ^ [_66749, _66751, _68017]), aElementOf0(408 ^ [_66749, _66751, _68017], _66751), -(408 ^ [_66749, _66751, _68017] = _66749)]]], (373 ^ _55510) ^ [_67032] : [_67032 = sdtmndt0(_66751, _66749), 376 ^ _55510 : [(377 ^ _55510) ^ [] : [-(aSet0(_67032))], (379 ^ _55510) ^ [_67297] : [aElementOf0(_67297, _67032), 382 ^ _55510 : [(383 ^ _55510) ^ [] : [-(aElement0(_67297))], (385 ^ _55510) ^ [] : [-(aElementOf0(_67297, _66751))], (387 ^ _55510) ^ [] : [_67297 = _66749]]], (389 ^ _55510) ^ [_67633] : [-(aElementOf0(_67633, _67032)), aElement0(_67633), aElementOf0(_67633, _66751), -(_67633 = _66749)]]]]]], input).
% 0.76/1.37 ncf('1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],start(450 ^ 0)).
% 0.76/1.37 ncf('1.1',plain,[-(sdtmndt0(sdtpldt0(xS, xx), xx) = xS), xS = sdtmndt0(sdtpldt0(xS, xx), xx)],extension(4 ^ 1,bind([[_55761, _55763], [sdtmndt0(sdtpldt0(xS, xx), xx), xS]]))).
% 0.76/1.37 ncf('1.1.1',plain,[-(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), 403 : aSet0(xS), 426 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))), 414 : aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]), 414 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx)), 414 : -(408 ^ [xx, sdtpldt0(xS, xx), xS] = xx), 403 : aSet0(sdtpldt0(xS, xx)), 403 : aElement0(xx)],extension(365 ^ 2,bind([[_66749, _66751, _68017], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.76/1.37 ncf('1.1.1.1',plain,[-(aSet0(xS))],extension(446 ^ 5)).
% 0.76/1.37 ncf('1.1.1.2',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx)), 316 : -(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)), 316 : -(408 ^ [xx, sdtpldt0(xS, xx), xS] = xx), 310 : sdtpldt0(xS, xx) = sdtpldt0(xS, xx), 304 : aSet0(xS), 304 : aElement0(xx)],extension(296 ^ 7,bind([[_64451, _64453, _64732, _64995], [xx, xS, sdtpldt0(xS, xx), 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 0.76/1.37 ncf('1.1.1.2.1',plain,[aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS)],extension(430 ^ 14)).
% 0.76/1.37 ncf('1.1.1.2.2',plain,[408 ^ [xx, sdtpldt0(xS, xx), xS] = xx],extension(428 ^ 14)).
% 0.76/1.37 ncf('1.1.1.2.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2 ^ 10,bind([[_55654], [sdtpldt0(xS, xx)]]))).
% 0.76/1.37 ncf('1.1.1.2.4',plain,[-(aSet0(xS))],lemmata('[1, 1].x')).
% 0.76/1.37 ncf('1.1.1.2.5',plain,[-(aElement0(xx))],extension(444 ^ 8)).
% 0.76/1.37 ncf('1.1.1.3',plain,[-(aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS])), 132 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS), 132 : aSet0(xS)],extension(128 ^ 7,bind([[_59542, _59672], [xS, 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 0.76/1.37 ncf('1.1.1.3.1',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS))],extension(412 ^ 10)).
% 0.76/1.37 ncf('1.1.1.3.2',plain,[-(aSet0(xS))],lemmata('[1, 1].x')).
% 0.76/1.37 ncf('1.1.1.4',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], sdtpldt0(xS, xx))), 322 : aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]), 328 : aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS), 322 : sdtpldt0(xS, xx) = sdtpldt0(xS, xx), 304 : aSet0(xS), 304 : aElement0(xx)],extension(296 ^ 7,bind([[_64451, _64453, _64732, _65350], [xx, xS, sdtpldt0(xS, xx), 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 0.76/1.37 ncf('1.1.1.4.1',plain,[-(aElement0(408 ^ [xx, sdtpldt0(xS, xx), xS]))],lemmata('[1, 1].x')).
% 0.76/1.37 ncf('1.1.1.4.2',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS))],extension(412 ^ 14)).
% 0.76/1.37 ncf('1.1.1.4.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2 ^ 10,bind([[_55654], [sdtpldt0(xS, xx)]]))).
% 0.76/1.37 ncf('1.1.1.4.4',plain,[-(aSet0(xS))],lemmata('[1, 1].x')).
% 0.76/1.37 ncf('1.1.1.4.5',plain,[-(aElement0(xx))],extension(444 ^ 8)).
% 0.76/1.37 ncf('1.1.1.5',plain,[408 ^ [xx, sdtpldt0(xS, xx), xS] = xx, -(aElementOf0(xx, xS)), aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS), xS = xS],extension(74 ^ 7,bind([[_57910, _57912, _57914, _57916], [xS, xS, xx, 408 ^ [xx, sdtpldt0(xS, xx), xS]]]))).
% 0.76/1.37 ncf('1.1.1.5.1',plain,[aElementOf0(xx, xS)],extension(448 ^ 8)).
% 0.76/1.37 ncf('1.1.1.5.2',plain,[-(aElementOf0(408 ^ [xx, sdtpldt0(xS, xx), xS], xS))],extension(412 ^ 8)).
% 0.76/1.37 ncf('1.1.1.5.3',plain,[-(xS = xS)],extension(2 ^ 8,bind([[_55654], [xS]]))).
% 0.76/1.37 ncf('1.1.1.6',plain,[-(aSet0(sdtpldt0(xS, xx))), 304 : sdtpldt0(xS, xx) = sdtpldt0(xS, xx), 304 : aSet0(xS), 304 : aElement0(xx)],extension(296 ^ 3,bind([[_64451, _64453, _64732], [xx, xS, sdtpldt0(xS, xx)]]))).
% 0.76/1.37 ncf('1.1.1.6.1',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2 ^ 6,bind([[_55654], [sdtpldt0(xS, xx)]]))).
% 0.76/1.37 ncf('1.1.1.6.2',plain,[-(aSet0(xS))],extension(446 ^ 4)).
% 0.76/1.37 ncf('1.1.1.6.3',plain,[-(aElement0(xx))],extension(444 ^ 4)).
% 0.76/1.37 ncf('1.1.1.7',plain,[-(aElement0(xx))],extension(444 ^ 3)).
% 0.76/1.37 %-----------------------------------------------------
% 0.76/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------