TSTP Solution File: RNG095+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n014.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 11:49:49 EDT 2023
% Result : Theorem 101.33s 98.59s
% Output : Proof 101.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n014.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 20:21:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.33/98.59
% 101.33/98.59 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.33/98.59 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.33/98.59 %-----------------------------------------------------
% 101.33/98.59 ncf(matrix, plain, [(569 ^ _79304) ^ [_98513, _98515] : [aElementOf0(_98515, xI), aElementOf0(_98513, xJ), sdtpldt0(_98515, _98513) = sz10], (82 ^ _79304) ^ [_82032, _82034, _82036, _82038] : [-(sdtasdt0(_82038, _82034) = sdtasdt0(_82036, _82032)), _82038 = _82036, _82034 = _82032], (92 ^ _79304) ^ [_82391, _82393, _82395, _82397] : [-(sdtasasdt0(_82397, _82393) = sdtasasdt0(_82395, _82391)), _82397 = _82395, _82393 = _82391], (102 ^ _79304) ^ [_82722, _82724] : [_82724 = _82722, -(smndt0(_82724) = smndt0(_82722))], (108 ^ _79304) ^ [_82968, _82970, _82972, _82974] : [-(sdtpldt1(_82974, _82970) = sdtpldt1(_82972, _82968)), _82974 = _82972, _82970 = _82968], (118 ^ _79304) ^ [_83307, _83309, _83311, _83313] : [-(sdtpldt0(_83313, _83309) = sdtpldt0(_83311, _83307)), _83313 = _83311, _83309 = _83307], (2 ^ _79304) ^ [_79448] : [-(_79448 = _79448)], (4 ^ _79304) ^ [_79555, _79557] : [_79557 = _79555, -(_79555 = _79557)], (10 ^ _79304) ^ [_79759, _79761, _79763] : [-(_79763 = _79759), _79763 = _79761, _79761 = _79759], (20 ^ _79304) ^ [_80072, _80074] : [-(aSet0(_80072)), _80074 = _80072, aSet0(_80074)], (30 ^ _79304) ^ [_80423, _80425, _80427, _80429, _80431, _80433] : [-(sdteqdtlpzmzozddtrp0(_80431, _80427, _80423)), sdteqdtlpzmzozddtrp0(_80433, _80429, _80425), _80433 = _80431, _80429 = _80427, _80425 = _80423], (48 ^ _79304) ^ [_80976, _80978] : [-(aIdeal0(_80976)), _80978 = _80976, aIdeal0(_80978)], (58 ^ _79304) ^ [_81271, _81273] : [-(aElement0(_81271)), _81273 = _81271, aElement0(_81273)], (68 ^ _79304) ^ [_81574, _81576, _81578, _81580] : [-(aElementOf0(_81578, _81574)), aElementOf0(_81580, _81576), _81580 = _81578, _81576 = _81574], (128 ^ _79304) ^ [_83642] : [aElement0(_83642), true___, -(true___)], (138 ^ _79304) ^ [] : [-(aElement0(sz00))], (140 ^ _79304) ^ [] : [-(aElement0(sz10))], (142 ^ _79304) ^ [_84003] : [aElement0(_84003), -(aElement0(smndt0(_84003)))], (148 ^ _79304) ^ [_84207, _84209] : [-(aElement0(sdtpldt0(_84209, _84207))), aElement0(_84209), aElement0(_84207)], (158 ^ _79304) ^ [_84506, _84508] : [-(aElement0(sdtasdt0(_84508, _84506))), aElement0(_84508), aElement0(_84506)], (168 ^ _79304) ^ [_84805, _84807] : [-(sdtpldt0(_84807, _84805) = sdtpldt0(_84805, _84807)), aElement0(_84807), aElement0(_84805)], (178 ^ _79304) ^ [_85126, _85128, _85130] : [-(sdtpldt0(sdtpldt0(_85130, _85128), _85126) = sdtpldt0(_85130, sdtpldt0(_85128, _85126))), aElement0(_85130), aElement0(_85128), aElement0(_85126)], (192 ^ _79304) ^ [_85532] : [aElement0(_85532), 195 ^ _79304 : [(196 ^ _79304) ^ [] : [-(sdtpldt0(_85532, sz00) = _85532)], (198 ^ _79304) ^ [] : [-(_85532 = sdtpldt0(sz00, _85532))]]], (200 ^ _79304) ^ [_85805] : [aElement0(_85805), 203 ^ _79304 : [(204 ^ _79304) ^ [] : [-(sdtpldt0(_85805, smndt0(_85805)) = sz00)], (206 ^ _79304) ^ [] : [-(sz00 = sdtpldt0(smndt0(_85805), _85805))]]], (208 ^ _79304) ^ [_86100, _86102] : [-(sdtasdt0(_86102, _86100) = sdtasdt0(_86100, _86102)), aElement0(_86102), aElement0(_86100)], (218 ^ _79304) ^ [_86421, _86423, _86425] : [-(sdtasdt0(sdtasdt0(_86425, _86423), _86421) = sdtasdt0(_86425, sdtasdt0(_86423, _86421))), aElement0(_86425), aElement0(_86423), aElement0(_86421)], (232 ^ _79304) ^ [_86827] : [aElement0(_86827), 235 ^ _79304 : [(236 ^ _79304) ^ [] : [-(sdtasdt0(_86827, sz10) = _86827)], (238 ^ _79304) ^ [] : [-(_86827 = sdtasdt0(sz10, _86827))]]], (240 ^ _79304) ^ [_87128, _87130, _87132] : [251 ^ _79304 : [(252 ^ _79304) ^ [] : [-(sdtasdt0(_87132, sdtpldt0(_87130, _87128)) = sdtpldt0(sdtasdt0(_87132, _87130), sdtasdt0(_87132, _87128)))], (254 ^ _79304) ^ [] : [-(sdtasdt0(sdtpldt0(_87130, _87128), _87132) = sdtpldt0(sdtasdt0(_87130, _87132), sdtasdt0(_87128, _87132)))]], aElement0(_87132), aElement0(_87130), aElement0(_87128)], (256 ^ _79304) ^ [_87647] : [aElement0(_87647), 259 ^ _79304 : [(260 ^ _79304) ^ [] : [-(sdtasdt0(smndt0(sz10), _87647) = smndt0(_87647))], (262 ^ _79304) ^ [] : [-(smndt0(_87647) = sdtasdt0(_87647, smndt0(sz10)))]]], (264 ^ _79304) ^ [_87928] : [aElement0(_87928), 267 ^ _79304 : [(268 ^ _79304) ^ [] : [-(sdtasdt0(_87928, sz00) = sz00)], (270 ^ _79304) ^ [] : [-(sz00 = sdtasdt0(sz00, _87928))]]], (272 ^ _79304) ^ [_88215, _88217] : [aElement0(_88217), aElement0(_88215), sdtasdt0(_88217, _88215) = sz00, -(_88217 = sz00), -(_88215 = sz00)], (290 ^ _79304) ^ [] : [sz10 = sz00], (292 ^ _79304) ^ [_88735] : [aSet0(_88735), true___, -(true___)], (302 ^ _79304) ^ [_88990] : [aSet0(_88990), 305 ^ _79304 : [(306 ^ _79304) ^ [_89120] : [aElementOf0(_89120, _88990), -(aElement0(_89120))]]], (312 ^ _79304) ^ [_89335, _89337] : [aSet0(_89337), aSet0(_89335), -(_89337 = _89335), 324 ^ _79304 : [(325 ^ _79304) ^ [] : [-(aElementOf0(323 ^ [_89335, _89337], _89337))], (327 ^ _79304) ^ [] : [aElementOf0(323 ^ [_89335, _89337], _89335)]], 329 ^ _79304 : [(330 ^ _79304) ^ [] : [-(aElementOf0(328 ^ [_89335, _89337], _89335))], (332 ^ _79304) ^ [] : [aElementOf0(328 ^ [_89335, _89337], _89337)]]], (336 ^ _79304) ^ [_90100, _90102] : [aSet0(_90102), aSet0(_90100), 343 ^ _79304 : [(376 ^ _79304) ^ [_91730] : [-(_91730 = sdtpldt1(_90102, _90100)), aSet0(_91730), 398 ^ _79304 : [(399 ^ _79304) ^ [] : [-(aElementOf0(396 ^ [_90100, _90102, _91730], _90102))], (401 ^ _79304) ^ [] : [-(aElementOf0(397 ^ [_90100, _90102, _91730], _90100))], (403 ^ _79304) ^ [] : [-(sdtpldt0(396 ^ [_90100, _90102, _91730], 397 ^ [_90100, _90102, _91730]) = 381 ^ [_90100, _90102, _91730])], (405 ^ _79304) ^ [] : [aElementOf0(381 ^ [_90100, _90102, _91730], _91730)]], 384 ^ _79304 : [(385 ^ _79304) ^ [] : [-(aElementOf0(381 ^ [_90100, _90102, _91730], _91730))], (387 ^ _79304) ^ [_92159, _92161] : [aElementOf0(_92161, _90102), aElementOf0(_92159, _90100), sdtpldt0(_92161, _92159) = 381 ^ [_90100, _90102, _91730]]]], (344 ^ _79304) ^ [_90395] : [_90395 = sdtpldt1(_90102, _90100), 347 ^ _79304 : [(348 ^ _79304) ^ [] : [-(aSet0(_90395))], (350 ^ _79304) ^ [_90672] : [aElementOf0(_90672, _90395), 355 ^ _79304 : [(356 ^ _79304) ^ [] : [-(aElementOf0(353 ^ [_90100, _90102, _90395, _90672], _90102))], (358 ^ _79304) ^ [] : [-(aElementOf0(354 ^ [_90100, _90102, _90395, _90672], _90100))], (360 ^ _79304) ^ [] : [-(sdtpldt0(353 ^ [_90100, _90102, _90395, _90672], 354 ^ [_90100, _90102, _90395, _90672]) = _90672)]]], (362 ^ _79304) ^ [_91232] : [-(aElementOf0(_91232, _90395)), 363 ^ _79304 : [(364 ^ _79304) ^ [_91362, _91364] : [aElementOf0(_91364, _90102), aElementOf0(_91362, _90100), sdtpldt0(_91364, _91362) = _91232]]]]]]], (409 ^ _79304) ^ [_93080, _93082] : [aSet0(_93082), aSet0(_93080), 416 ^ _79304 : [(441 ^ _79304) ^ [_94159] : [-(_94159 = sdtasasdt0(_93082, _93080)), aSet0(_94159), 457 ^ _79304 : [(458 ^ _79304) ^ [] : [-(aElementOf0(446 ^ [_93080, _93082, _94159], _93082))], (460 ^ _79304) ^ [] : [-(aElementOf0(446 ^ [_93080, _93082, _94159], _93080))], (462 ^ _79304) ^ [] : [aElementOf0(446 ^ [_93080, _93082, _94159], _94159)]], 449 ^ _79304 : [(450 ^ _79304) ^ [] : [-(aElementOf0(446 ^ [_93080, _93082, _94159], _94159))], (452 ^ _79304) ^ [] : [aElementOf0(446 ^ [_93080, _93082, _94159], _93082), aElementOf0(446 ^ [_93080, _93082, _94159], _93080)]]], (417 ^ _79304) ^ [_93356] : [_93356 = sdtasasdt0(_93082, _93080), 420 ^ _79304 : [(421 ^ _79304) ^ [] : [-(aSet0(_93356))], (423 ^ _79304) ^ [_93614] : [aElementOf0(_93614, _93356), 426 ^ _79304 : [(427 ^ _79304) ^ [] : [-(aElementOf0(_93614, _93082))], (429 ^ _79304) ^ [] : [-(aElementOf0(_93614, _93080))]]], (431 ^ _79304) ^ [_93873] : [-(aElementOf0(_93873, _93356)), aElementOf0(_93873, _93082), aElementOf0(_93873, _93080)]]]]], (488 ^ _79304) ^ [_95824] : [-(aIdeal0(_95824)), aSet0(_95824), 494 ^ _79304 : [(495 ^ _79304) ^ [] : [-(aElementOf0(493 ^ [_95824], _95824))], (497 ^ _79304) ^ [] : [499 ^ _79304 : [(500 ^ _79304) ^ [] : [-(aElementOf0(498 ^ [_95824], _95824))], (502 ^ _79304) ^ [] : [aElementOf0(sdtpldt0(493 ^ [_95824], 498 ^ [_95824]), _95824)]], 504 ^ _79304 : [(505 ^ _79304) ^ [] : [-(aElement0(503 ^ [_95824]))], (507 ^ _79304) ^ [] : [aElementOf0(sdtasdt0(503 ^ [_95824], 493 ^ [_95824]), _95824)]]]]], (466 ^ _79304) ^ [_95029] : [aIdeal0(_95029), 469 ^ _79304 : [(470 ^ _79304) ^ [] : [-(aSet0(_95029))], (472 ^ _79304) ^ [_95261] : [aElementOf0(_95261, _95029), 475 ^ _79304 : [(476 ^ _79304) ^ [_95442] : [aElementOf0(_95442, _95029), -(aElementOf0(sdtpldt0(_95261, _95442), _95029))], (482 ^ _79304) ^ [_95634] : [aElement0(_95634), -(aElementOf0(sdtasdt0(_95634, _95261), _95029))]]]]], (511 ^ _79304) ^ [_96664, _96666] : [-(aIdeal0(sdtpldt1(_96666, _96664))), aIdeal0(_96666), aIdeal0(_96664)], (521 ^ _79304) ^ [_96963, _96965] : [-(aIdeal0(sdtasasdt0(_96965, _96963))), aIdeal0(_96965), aIdeal0(_96963)], (555 ^ _79304) ^ [] : [-(aIdeal0(xI))], (557 ^ _79304) ^ [] : [-(aIdeal0(xJ))], (565 ^ _79304) ^ [] : [-(aElement0(xx))], (567 ^ _79304) ^ [] : [-(aElement0(xy))], (559 ^ _79304) ^ [_98048] : [aElement0(_98048), -(aElementOf0(_98048, sdtpldt1(xI, xJ)))], (531 ^ _79304) ^ [_97276, _97278, _97280] : [aElement0(_97280), aElement0(_97278), aIdeal0(_97276), 542 ^ _79304 : [(543 ^ _79304) ^ [] : [sdteqdtlpzmzozddtrp0(_97280, _97278, _97276), -(aElementOf0(sdtpldt0(_97280, smndt0(_97278)), _97276))], (549 ^ _79304) ^ [] : [aElementOf0(sdtpldt0(_97280, smndt0(_97278)), _97276), -(sdteqdtlpzmzozddtrp0(_97280, _97278, _97276))]]]], input).
% 101.33/98.59 ncf('1',plain,[aElementOf0(353 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], xI), aElementOf0(354 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], xJ), sdtpldt0(353 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], 354 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10]) = sz10],start(569 ^ 0,bind([[_98513, _98515], [354 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], 353 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10]]]))).
% 101.33/98.59 ncf('1.1',plain,[-(aElementOf0(353 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], xI)), 350 : aElementOf0(sz10, sdtpldt1(xI, xJ)), 350 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 344 : aSet0(xI), 344 : aSet0(xJ)],extension(336 ^ 1,bind([[_90100, _90102, _90395, _90672], [xJ, xI, sdtpldt1(xI, xJ), sz10]]))).
% 101.33/98.59 ncf('1.1.1',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(559 ^ 6,bind([[_98048], [sz10]]))).
% 101.33/98.59 ncf('1.1.1.1',plain,[-(aElement0(sz10))],extension(140 ^ 7)).
% 101.33/98.59 ncf('1.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 4,bind([[_79448], [sdtpldt1(xI, xJ)]]))).
% 101.33/98.59 ncf('1.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(466 ^ 2,bind([[_95029], [xI]]))).
% 101.33/98.59 ncf('1.1.3.1',plain,[-(aIdeal0(xI))],extension(555 ^ 3)).
% 101.33/98.59 ncf('1.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(466 ^ 2,bind([[_95029], [xJ]]))).
% 101.33/98.59 ncf('1.1.4.1',plain,[-(aIdeal0(xJ))],extension(557 ^ 3)).
% 101.33/98.59 ncf('1.2',plain,[-(aElementOf0(354 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], xJ)), 350 : aElementOf0(sz10, sdtpldt1(xI, xJ)), 350 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 344 : aSet0(xI), 344 : aSet0(xJ)],extension(336 ^ 1,bind([[_90100, _90102, _90395, _90672], [xJ, xI, sdtpldt1(xI, xJ), sz10]]))).
% 101.33/98.59 ncf('1.2.1',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(559 ^ 6,bind([[_98048], [sz10]]))).
% 101.33/98.59 ncf('1.2.1.1',plain,[-(aElement0(sz10))],extension(140 ^ 7)).
% 101.33/98.59 ncf('1.2.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 4,bind([[_79448], [sdtpldt1(xI, xJ)]]))).
% 101.33/98.59 ncf('1.2.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(466 ^ 2,bind([[_95029], [xI]]))).
% 101.33/98.59 ncf('1.2.3.1',plain,[-(aIdeal0(xI))],extension(555 ^ 3)).
% 101.33/98.59 ncf('1.2.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(466 ^ 2,bind([[_95029], [xJ]]))).
% 101.33/98.59 ncf('1.2.4.1',plain,[-(aIdeal0(xJ))],extension(557 ^ 3)).
% 101.33/98.59 ncf('1.3',plain,[-(sdtpldt0(353 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10], 354 ^ [xJ, xI, sdtpldt1(xI, xJ), sz10]) = sz10), 350 : aElementOf0(sz10, sdtpldt1(xI, xJ)), 350 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 344 : aSet0(xI), 344 : aSet0(xJ)],extension(336 ^ 1,bind([[_90100, _90102, _90395, _90672], [xJ, xI, sdtpldt1(xI, xJ), sz10]]))).
% 101.33/98.59 ncf('1.3.1',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(559 ^ 6,bind([[_98048], [sz10]]))).
% 101.33/98.59 ncf('1.3.1.1',plain,[-(aElement0(sz10))],extension(140 ^ 7)).
% 101.33/98.59 ncf('1.3.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 4,bind([[_79448], [sdtpldt1(xI, xJ)]]))).
% 101.33/98.59 ncf('1.3.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(466 ^ 2,bind([[_95029], [xI]]))).
% 101.33/98.59 ncf('1.3.3.1',plain,[-(aIdeal0(xI))],extension(555 ^ 3)).
% 101.33/98.59 ncf('1.3.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(466 ^ 2,bind([[_95029], [xJ]]))).
% 101.33/98.59 ncf('1.3.4.1',plain,[-(aIdeal0(xJ))],extension(557 ^ 3)).
% 101.33/98.59 %-----------------------------------------------------
% 101.33/98.59 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------