TSTP Solution File: RNG086+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG086+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 11:49:47 EDT 2023
% Result : Theorem 101.67s 98.75s
% Output : Proof 101.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 20:19:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 101.67/98.75
% 101.67/98.75 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.67/98.75 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.67/98.75 %-----------------------------------------------------
% 101.67/98.75 ncf(matrix, plain, [(503 ^ _71407) ^ [_88559, _88561] : [aElementOf0(_88561, xI), aElementOf0(_88559, xJ), xx = sdtpldt0(_88561, _88559)], (64 ^ _71407) ^ [_73496, _73498] : [_73498 = _73496, -(smndt0(_73498) = smndt0(_73496))], (70 ^ _71407) ^ [_73742, _73744, _73746, _73748] : [-(sdtasasdt0(_73748, _73744) = sdtasasdt0(_73746, _73742)), _73748 = _73746, _73744 = _73742], (80 ^ _71407) ^ [_74101, _74103, _74105, _74107] : [-(sdtasdt0(_74107, _74103) = sdtasdt0(_74105, _74101)), _74107 = _74105, _74103 = _74101], (90 ^ _71407) ^ [_74460, _74462, _74464, _74466] : [-(sdtpldt1(_74466, _74462) = sdtpldt1(_74464, _74460)), _74466 = _74464, _74462 = _74460], (100 ^ _71407) ^ [_74799, _74801, _74803, _74805] : [-(sdtpldt0(_74805, _74801) = sdtpldt0(_74803, _74799)), _74805 = _74803, _74801 = _74799], (2 ^ _71407) ^ [_71551] : [-(_71551 = _71551)], (4 ^ _71407) ^ [_71658, _71660] : [_71660 = _71658, -(_71658 = _71660)], (10 ^ _71407) ^ [_71862, _71864, _71866] : [-(_71866 = _71862), _71866 = _71864, _71864 = _71862], (20 ^ _71407) ^ [_72175, _72177] : [-(aSet0(_72175)), _72177 = _72175, aSet0(_72177)], (30 ^ _71407) ^ [_72470, _72472] : [-(aIdeal0(_72470)), _72472 = _72470, aIdeal0(_72472)], (40 ^ _71407) ^ [_72765, _72767] : [-(aElement0(_72765)), _72767 = _72765, aElement0(_72767)], (50 ^ _71407) ^ [_73068, _73070, _73072, _73074] : [-(aElementOf0(_73072, _73068)), aElementOf0(_73074, _73070), _73074 = _73072, _73070 = _73068], (110 ^ _71407) ^ [_75134] : [aElement0(_75134), true___, -(true___)], (120 ^ _71407) ^ [] : [-(aElement0(sz00))], (122 ^ _71407) ^ [] : [-(aElement0(sz10))], (124 ^ _71407) ^ [_75495] : [aElement0(_75495), -(aElement0(smndt0(_75495)))], (130 ^ _71407) ^ [_75699, _75701] : [-(aElement0(sdtpldt0(_75701, _75699))), aElement0(_75701), aElement0(_75699)], (140 ^ _71407) ^ [_75998, _76000] : [-(aElement0(sdtasdt0(_76000, _75998))), aElement0(_76000), aElement0(_75998)], (150 ^ _71407) ^ [_76297, _76299] : [-(sdtpldt0(_76299, _76297) = sdtpldt0(_76297, _76299)), aElement0(_76299), aElement0(_76297)], (160 ^ _71407) ^ [_76618, _76620, _76622] : [-(sdtpldt0(sdtpldt0(_76622, _76620), _76618) = sdtpldt0(_76622, sdtpldt0(_76620, _76618))), aElement0(_76622), aElement0(_76620), aElement0(_76618)], (174 ^ _71407) ^ [_77024] : [aElement0(_77024), 177 ^ _71407 : [(178 ^ _71407) ^ [] : [-(sdtpldt0(_77024, sz00) = _77024)], (180 ^ _71407) ^ [] : [-(_77024 = sdtpldt0(sz00, _77024))]]], (182 ^ _71407) ^ [_77297] : [aElement0(_77297), 185 ^ _71407 : [(186 ^ _71407) ^ [] : [-(sdtpldt0(_77297, smndt0(_77297)) = sz00)], (188 ^ _71407) ^ [] : [-(sz00 = sdtpldt0(smndt0(_77297), _77297))]]], (190 ^ _71407) ^ [_77592, _77594] : [-(sdtasdt0(_77594, _77592) = sdtasdt0(_77592, _77594)), aElement0(_77594), aElement0(_77592)], (200 ^ _71407) ^ [_77913, _77915, _77917] : [-(sdtasdt0(sdtasdt0(_77917, _77915), _77913) = sdtasdt0(_77917, sdtasdt0(_77915, _77913))), aElement0(_77917), aElement0(_77915), aElement0(_77913)], (214 ^ _71407) ^ [_78319] : [aElement0(_78319), 217 ^ _71407 : [(218 ^ _71407) ^ [] : [-(sdtasdt0(_78319, sz10) = _78319)], (220 ^ _71407) ^ [] : [-(_78319 = sdtasdt0(sz10, _78319))]]], (222 ^ _71407) ^ [_78620, _78622, _78624] : [233 ^ _71407 : [(234 ^ _71407) ^ [] : [-(sdtasdt0(_78624, sdtpldt0(_78622, _78620)) = sdtpldt0(sdtasdt0(_78624, _78622), sdtasdt0(_78624, _78620)))], (236 ^ _71407) ^ [] : [-(sdtasdt0(sdtpldt0(_78622, _78620), _78624) = sdtpldt0(sdtasdt0(_78622, _78624), sdtasdt0(_78620, _78624)))]], aElement0(_78624), aElement0(_78622), aElement0(_78620)], (238 ^ _71407) ^ [_79139] : [aElement0(_79139), 241 ^ _71407 : [(242 ^ _71407) ^ [] : [-(sdtasdt0(smndt0(sz10), _79139) = smndt0(_79139))], (244 ^ _71407) ^ [] : [-(smndt0(_79139) = sdtasdt0(_79139, smndt0(sz10)))]]], (246 ^ _71407) ^ [_79420] : [aElement0(_79420), 249 ^ _71407 : [(250 ^ _71407) ^ [] : [-(sdtasdt0(_79420, sz00) = sz00)], (252 ^ _71407) ^ [] : [-(sz00 = sdtasdt0(sz00, _79420))]]], (254 ^ _71407) ^ [_79707, _79709] : [aElement0(_79709), aElement0(_79707), sdtasdt0(_79709, _79707) = sz00, -(_79709 = sz00), -(_79707 = sz00)], (272 ^ _71407) ^ [] : [sz10 = sz00], (274 ^ _71407) ^ [_80227] : [aSet0(_80227), true___, -(true___)], (284 ^ _71407) ^ [_80482] : [aSet0(_80482), 287 ^ _71407 : [(288 ^ _71407) ^ [_80612] : [aElementOf0(_80612, _80482), -(aElement0(_80612))]]], (294 ^ _71407) ^ [_80827, _80829] : [aSet0(_80829), aSet0(_80827), -(_80829 = _80827), 306 ^ _71407 : [(307 ^ _71407) ^ [] : [-(aElementOf0(305 ^ [_80827, _80829], _80829))], (309 ^ _71407) ^ [] : [aElementOf0(305 ^ [_80827, _80829], _80827)]], 311 ^ _71407 : [(312 ^ _71407) ^ [] : [-(aElementOf0(310 ^ [_80827, _80829], _80827))], (314 ^ _71407) ^ [] : [aElementOf0(310 ^ [_80827, _80829], _80829)]]], (318 ^ _71407) ^ [_81592, _81594] : [aSet0(_81594), aSet0(_81592), 325 ^ _71407 : [(358 ^ _71407) ^ [_83222] : [-(_83222 = sdtpldt1(_81594, _81592)), aSet0(_83222), 380 ^ _71407 : [(381 ^ _71407) ^ [] : [-(aElementOf0(378 ^ [_81592, _81594, _83222], _81594))], (383 ^ _71407) ^ [] : [-(aElementOf0(379 ^ [_81592, _81594, _83222], _81592))], (385 ^ _71407) ^ [] : [-(sdtpldt0(378 ^ [_81592, _81594, _83222], 379 ^ [_81592, _81594, _83222]) = 363 ^ [_81592, _81594, _83222])], (387 ^ _71407) ^ [] : [aElementOf0(363 ^ [_81592, _81594, _83222], _83222)]], 366 ^ _71407 : [(367 ^ _71407) ^ [] : [-(aElementOf0(363 ^ [_81592, _81594, _83222], _83222))], (369 ^ _71407) ^ [_83651, _83653] : [aElementOf0(_83653, _81594), aElementOf0(_83651, _81592), sdtpldt0(_83653, _83651) = 363 ^ [_81592, _81594, _83222]]]], (326 ^ _71407) ^ [_81887] : [_81887 = sdtpldt1(_81594, _81592), 329 ^ _71407 : [(330 ^ _71407) ^ [] : [-(aSet0(_81887))], (332 ^ _71407) ^ [_82164] : [aElementOf0(_82164, _81887), 337 ^ _71407 : [(338 ^ _71407) ^ [] : [-(aElementOf0(335 ^ [_81592, _81594, _81887, _82164], _81594))], (340 ^ _71407) ^ [] : [-(aElementOf0(336 ^ [_81592, _81594, _81887, _82164], _81592))], (342 ^ _71407) ^ [] : [-(sdtpldt0(335 ^ [_81592, _81594, _81887, _82164], 336 ^ [_81592, _81594, _81887, _82164]) = _82164)]]], (344 ^ _71407) ^ [_82724] : [-(aElementOf0(_82724, _81887)), 345 ^ _71407 : [(346 ^ _71407) ^ [_82854, _82856] : [aElementOf0(_82856, _81594), aElementOf0(_82854, _81592), sdtpldt0(_82856, _82854) = _82724]]]]]]], (493 ^ _71407) ^ [] : [-(aIdeal0(xI))], (495 ^ _71407) ^ [] : [-(aIdeal0(xJ))], (497 ^ _71407) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (499 ^ _71407) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (501 ^ _71407) ^ [] : [-(aElement0(xz))], (470 ^ _71407) ^ [_87316] : [-(aIdeal0(_87316)), aSet0(_87316), 476 ^ _71407 : [(477 ^ _71407) ^ [] : [-(aElementOf0(475 ^ [_87316], _87316))], (479 ^ _71407) ^ [] : [481 ^ _71407 : [(482 ^ _71407) ^ [] : [-(aElementOf0(480 ^ [_87316], _87316))], (484 ^ _71407) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_87316], 480 ^ [_87316]), _87316)]], 486 ^ _71407 : [(487 ^ _71407) ^ [] : [-(aElement0(485 ^ [_87316]))], (489 ^ _71407) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_87316], 475 ^ [_87316]), _87316)]]]]], (448 ^ _71407) ^ [_86521] : [aIdeal0(_86521), 451 ^ _71407 : [(452 ^ _71407) ^ [] : [-(aSet0(_86521))], (454 ^ _71407) ^ [_86753] : [aElementOf0(_86753, _86521), 457 ^ _71407 : [(458 ^ _71407) ^ [_86934] : [aElementOf0(_86934, _86521), -(aElementOf0(sdtpldt0(_86753, _86934), _86521))], (464 ^ _71407) ^ [_87126] : [aElement0(_87126), -(aElementOf0(sdtasdt0(_87126, _86753), _86521))]]]]], (391 ^ _71407) ^ [_84572, _84574] : [aSet0(_84574), aSet0(_84572), 398 ^ _71407 : [(423 ^ _71407) ^ [_85651] : [-(_85651 = sdtasasdt0(_84574, _84572)), aSet0(_85651), 439 ^ _71407 : [(440 ^ _71407) ^ [] : [-(aElementOf0(428 ^ [_84572, _84574, _85651], _84574))], (442 ^ _71407) ^ [] : [-(aElementOf0(428 ^ [_84572, _84574, _85651], _84572))], (444 ^ _71407) ^ [] : [aElementOf0(428 ^ [_84572, _84574, _85651], _85651)]], 431 ^ _71407 : [(432 ^ _71407) ^ [] : [-(aElementOf0(428 ^ [_84572, _84574, _85651], _85651))], (434 ^ _71407) ^ [] : [aElementOf0(428 ^ [_84572, _84574, _85651], _84574), aElementOf0(428 ^ [_84572, _84574, _85651], _84572)]]], (399 ^ _71407) ^ [_84848] : [_84848 = sdtasasdt0(_84574, _84572), 402 ^ _71407 : [(403 ^ _71407) ^ [] : [-(aSet0(_84848))], (405 ^ _71407) ^ [_85106] : [aElementOf0(_85106, _84848), 408 ^ _71407 : [(409 ^ _71407) ^ [] : [-(aElementOf0(_85106, _84574))], (411 ^ _71407) ^ [] : [-(aElementOf0(_85106, _84572))]]], (413 ^ _71407) ^ [_85365] : [-(aElementOf0(_85365, _84848)), aElementOf0(_85365, _84574), aElementOf0(_85365, _84572)]]]]]], input).
% 101.67/98.75 ncf('1',plain,[aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xI), aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xJ), xx = sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx])],start(503 ^ 0,bind([[_88559, _88561], [336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]]]))).
% 101.67/98.75 ncf('1.1',plain,[-(aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xI)), aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xI), 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx] = 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xI = xI],extension(50 ^ 1,bind([[_73068, _73070, _73072, _73074], [xI, xI, 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]]]))).
% 101.67/98.75 ncf('1.1.1',plain,[-(aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xI)), 332 : aElementOf0(xx, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 2,bind([[_81592, _81594, _81887, _82164], [xJ, xI, sdtpldt1(xI, xJ), xx]]))).
% 101.67/98.75 ncf('1.1.1.1',plain,[-(aElementOf0(xx, sdtpldt1(xI, xJ)))],extension(497 ^ 7)).
% 101.67/98.75 ncf('1.1.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_71551], [sdtpldt1(xI, xJ)]]))).
% 101.67/98.75 ncf('1.1.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 3,bind([[_86521], [xI]]))).
% 101.67/98.75 ncf('1.1.1.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 4)).
% 101.67/98.75 ncf('1.1.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 3,bind([[_86521], [xJ]]))).
% 101.67/98.75 ncf('1.1.1.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 4)).
% 101.67/98.75 ncf('1.1.2',plain,[-(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx] = 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx])],extension(2 ^ 2,bind([[_71551], [335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]]]))).
% 101.67/98.75 ncf('1.1.3',plain,[-(xI = xI)],extension(2 ^ 2,bind([[_71551], [xI]]))).
% 101.67/98.75 ncf('1.2',plain,[-(aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xJ)), aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xJ), 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx] = 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xJ = xJ],extension(50 ^ 1,bind([[_73068, _73070, _73072, _73074], [xJ, xJ, 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]]]))).
% 101.67/98.75 ncf('1.2.1',plain,[-(aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], xJ)), 332 : aElementOf0(xx, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 2,bind([[_81592, _81594, _81887, _82164], [xJ, xI, sdtpldt1(xI, xJ), xx]]))).
% 101.67/98.75 ncf('1.2.1.1',plain,[-(aElementOf0(xx, sdtpldt1(xI, xJ)))],extension(497 ^ 7)).
% 101.67/98.75 ncf('1.2.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_71551], [sdtpldt1(xI, xJ)]]))).
% 101.67/98.75 ncf('1.2.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 3,bind([[_86521], [xI]]))).
% 101.67/98.75 ncf('1.2.1.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 4)).
% 101.67/98.75 ncf('1.2.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 3,bind([[_86521], [xJ]]))).
% 101.67/98.75 ncf('1.2.1.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 4)).
% 101.67/98.75 ncf('1.2.2',plain,[-(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx] = 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx])],extension(2 ^ 2,bind([[_71551], [336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]]]))).
% 101.67/98.75 ncf('1.2.3',plain,[-(xJ = xJ)],extension(2 ^ 2,bind([[_71551], [xJ]]))).
% 101.67/98.75 ncf('1.3',plain,[-(xx = sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx])), sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]) = xx],extension(4 ^ 1,bind([[_71658, _71660], [xx, sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx])]]))).
% 101.67/98.75 ncf('1.3.1',plain,[-(sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xx], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xx]) = xx), 332 : aElementOf0(xx, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 2,bind([[_81592, _81594, _81887, _82164], [xJ, xI, sdtpldt1(xI, xJ), xx]]))).
% 101.67/98.75 ncf('1.3.1.1',plain,[-(aElementOf0(xx, sdtpldt1(xI, xJ)))],extension(497 ^ 7)).
% 101.67/98.75 ncf('1.3.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_71551], [sdtpldt1(xI, xJ)]]))).
% 101.67/98.75 ncf('1.3.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 3,bind([[_86521], [xI]]))).
% 101.67/98.75 ncf('1.3.1.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 4)).
% 101.67/98.75 ncf('1.3.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 3,bind([[_86521], [xJ]]))).
% 101.67/98.75 ncf('1.3.1.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 4)).
% 101.67/98.75 %-----------------------------------------------------
% 101.67/98.75 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------