TSTP Solution File: RNG092+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:49:48 EDT 2023
% Result : Theorem 0.32s 1.37s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n003.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 20:32:15 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.37
% 0.32/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 ncf(matrix, plain, [(533 ^ _94129) ^ [_112393, _112395, _112397] : [566 ^ _94129 : [(567 ^ _94129) ^ [] : [-(aElementOf0(564 ^ [_112393, _112395, _112397], xI))], (569 ^ _94129) ^ [] : [-(aElementOf0(565 ^ [_112393, _112395, _112397], xJ))], (571 ^ _94129) ^ [] : [-(_112397 = sdtpldt0(564 ^ [_112393, _112395, _112397], 565 ^ [_112393, _112395, _112397]))], (575 ^ _94129) ^ [] : [-(aElementOf0(572 ^ [_112393, _112395, _112397], xI))], (577 ^ _94129) ^ [] : [-(aElementOf0(573 ^ [_112393, _112395, _112397], xJ))], (579 ^ _94129) ^ [] : [-(_112395 = sdtpldt0(572 ^ [_112393, _112395, _112397], 573 ^ [_112393, _112395, _112397]))], (581 ^ _94129) ^ [] : [-(aElementOf0(sdtpldt0(564 ^ [_112393, _112395, _112397], 572 ^ [_112393, _112395, _112397]), xI))], (583 ^ _94129) ^ [] : [-(aElementOf0(sdtpldt0(565 ^ [_112393, _112395, _112397], 573 ^ [_112393, _112395, _112397]), xJ))], (585 ^ _94129) ^ [] : [-(aElementOf0(sdtasdt0(_112393, 564 ^ [_112393, _112395, _112397]), xI))], (587 ^ _94129) ^ [] : [-(aElementOf0(sdtasdt0(_112393, 565 ^ [_112393, _112395, _112397]), xJ))], (589 ^ _94129) ^ [] : [-(sdtpldt0(_112397, _112395) = sdtpldt0(sdtpldt0(564 ^ [_112393, _112395, _112397], 572 ^ [_112393, _112395, _112397]), sdtpldt0(565 ^ [_112393, _112395, _112397], 573 ^ [_112393, _112395, _112397])))], (593 ^ _94129) ^ [] : [-(aElementOf0(590 ^ [_112393, _112395, _112397], xI))], (595 ^ _94129) ^ [] : [-(aElementOf0(591 ^ [_112393, _112395, _112397], xJ))], (597 ^ _94129) ^ [] : [-(sdtpldt0(590 ^ [_112393, _112395, _112397], 591 ^ [_112393, _112395, _112397]) = sdtpldt0(_112397, _112395))], (599 ^ _94129) ^ [] : [-(aElementOf0(sdtpldt0(_112397, _112395), sdtpldt1(xI, xJ)))], (603 ^ _94129) ^ [] : [-(aElementOf0(600 ^ [_112393, _112395, _112397], xI))], (605 ^ _94129) ^ [] : [-(aElementOf0(601 ^ [_112393, _112395, _112397], xJ))], (607 ^ _94129) ^ [] : [-(sdtpldt0(600 ^ [_112393, _112395, _112397], 601 ^ [_112393, _112395, _112397]) = sdtasdt0(_112393, _112397))], (609 ^ _94129) ^ [] : [-(aElementOf0(sdtasdt0(_112393, _112397), sdtpldt1(xI, xJ)))]], 536 ^ _94129 : [(547 ^ _94129) ^ [] : [aElementOf0(_112397, sdtpldt1(xI, xJ))], (537 ^ _94129) ^ [_112815, _112817] : [aElementOf0(_112817, xI), aElementOf0(_112815, xJ), sdtpldt0(_112817, _112815) = _112397]], aElement0(_112393), 550 ^ _94129 : [(561 ^ _94129) ^ [] : [aElementOf0(_112395, sdtpldt1(xI, xJ))], (551 ^ _94129) ^ [_113240, _113242] : [aElementOf0(_113242, xI), aElementOf0(_113240, xJ), sdtpldt0(_113242, _113240) = _112395]]], (654 ^ _94129) ^ [] : [aIdeal0(sdtpldt1(xI, xJ))], (640 ^ _94129) ^ [] : [-(aElementOf0(638 ^ [], sdtpldt1(xI, xJ)))], (642 ^ _94129) ^ [] : [644 ^ _94129 : [(645 ^ _94129) ^ [] : [-(aElementOf0(643 ^ [], sdtpldt1(xI, xJ)))], (647 ^ _94129) ^ [] : [aElementOf0(sdtpldt0(638 ^ [], 643 ^ []), sdtpldt1(xI, xJ))]], 649 ^ _94129 : [(650 ^ _94129) ^ [] : [-(aElement0(648 ^ []))], (652 ^ _94129) ^ [] : [aElementOf0(sdtasdt0(648 ^ [], 638 ^ []), sdtpldt1(xI, xJ))]]], (611 ^ _94129) ^ [] : [-(aSet0(sdtpldt1(xI, xJ)))], (613 ^ _94129) ^ [_116747] : [aElementOf0(_116747, sdtpldt1(xI, xJ)), 618 ^ _94129 : [(619 ^ _94129) ^ [] : [-(aElementOf0(616 ^ [_116747], xI))], (621 ^ _94129) ^ [] : [-(aElementOf0(617 ^ [_116747], xJ))], (623 ^ _94129) ^ [] : [-(sdtpldt0(616 ^ [_116747], 617 ^ [_116747]) = _116747)]]], (625 ^ _94129) ^ [_117211] : [-(aElementOf0(_117211, sdtpldt1(xI, xJ))), 626 ^ _94129 : [(627 ^ _94129) ^ [_117329, _117331] : [aElementOf0(_117331, xI), aElementOf0(_117329, xJ), sdtpldt0(_117331, _117329) = _117211]]], (64 ^ _94129) ^ [_96218, _96220] : [_96220 = _96218, -(smndt0(_96220) = smndt0(_96218))], (70 ^ _94129) ^ [_96464, _96466, _96468, _96470] : [-(sdtasasdt0(_96470, _96466) = sdtasasdt0(_96468, _96464)), _96470 = _96468, _96466 = _96464], (80 ^ _94129) ^ [_96823, _96825, _96827, _96829] : [-(sdtpldt0(_96829, _96825) = sdtpldt0(_96827, _96823)), _96829 = _96827, _96825 = _96823], (90 ^ _94129) ^ [_97182, _97184, _97186, _97188] : [-(sdtasdt0(_97188, _97184) = sdtasdt0(_97186, _97182)), _97188 = _97186, _97184 = _97182], (100 ^ _94129) ^ [_97521, _97523, _97525, _97527] : [-(sdtpldt1(_97527, _97523) = sdtpldt1(_97525, _97521)), _97527 = _97525, _97523 = _97521], (2 ^ _94129) ^ [_94273] : [-(_94273 = _94273)], (4 ^ _94129) ^ [_94380, _94382] : [_94382 = _94380, -(_94380 = _94382)], (10 ^ _94129) ^ [_94584, _94586, _94588] : [-(_94588 = _94584), _94588 = _94586, _94586 = _94584], (20 ^ _94129) ^ [_94897, _94899] : [-(aSet0(_94897)), _94899 = _94897, aSet0(_94899)], (30 ^ _94129) ^ [_95192, _95194] : [-(aElement0(_95192)), _95194 = _95192, aElement0(_95194)], (54 ^ _94129) ^ [_95911, _95913] : [-(aIdeal0(_95911)), _95913 = _95911, aIdeal0(_95913)], (40 ^ _94129) ^ [_95515, _95517, _95519, _95521] : [-(aElementOf0(_95519, _95515)), aElementOf0(_95521, _95517), _95521 = _95519, _95517 = _95515], (110 ^ _94129) ^ [_97856] : [aElement0(_97856), true___, -(true___)], (120 ^ _94129) ^ [] : [-(aElement0(sz00))], (122 ^ _94129) ^ [] : [-(aElement0(sz10))], (124 ^ _94129) ^ [_98217] : [aElement0(_98217), -(aElement0(smndt0(_98217)))], (130 ^ _94129) ^ [_98421, _98423] : [-(aElement0(sdtpldt0(_98423, _98421))), aElement0(_98423), aElement0(_98421)], (140 ^ _94129) ^ [_98720, _98722] : [-(aElement0(sdtasdt0(_98722, _98720))), aElement0(_98722), aElement0(_98720)], (150 ^ _94129) ^ [_99019, _99021] : [-(sdtpldt0(_99021, _99019) = sdtpldt0(_99019, _99021)), aElement0(_99021), aElement0(_99019)], (160 ^ _94129) ^ [_99340, _99342, _99344] : [-(sdtpldt0(sdtpldt0(_99344, _99342), _99340) = sdtpldt0(_99344, sdtpldt0(_99342, _99340))), aElement0(_99344), aElement0(_99342), aElement0(_99340)], (174 ^ _94129) ^ [_99746] : [aElement0(_99746), 177 ^ _94129 : [(178 ^ _94129) ^ [] : [-(sdtpldt0(_99746, sz00) = _99746)], (180 ^ _94129) ^ [] : [-(_99746 = sdtpldt0(sz00, _99746))]]], (182 ^ _94129) ^ [_100019] : [aElement0(_100019), 185 ^ _94129 : [(186 ^ _94129) ^ [] : [-(sdtpldt0(_100019, smndt0(_100019)) = sz00)], (188 ^ _94129) ^ [] : [-(sz00 = sdtpldt0(smndt0(_100019), _100019))]]], (190 ^ _94129) ^ [_100314, _100316] : [-(sdtasdt0(_100316, _100314) = sdtasdt0(_100314, _100316)), aElement0(_100316), aElement0(_100314)], (200 ^ _94129) ^ [_100635, _100637, _100639] : [-(sdtasdt0(sdtasdt0(_100639, _100637), _100635) = sdtasdt0(_100639, sdtasdt0(_100637, _100635))), aElement0(_100639), aElement0(_100637), aElement0(_100635)], (214 ^ _94129) ^ [_101041] : [aElement0(_101041), 217 ^ _94129 : [(218 ^ _94129) ^ [] : [-(sdtasdt0(_101041, sz10) = _101041)], (220 ^ _94129) ^ [] : [-(_101041 = sdtasdt0(sz10, _101041))]]], (222 ^ _94129) ^ [_101342, _101344, _101346] : [233 ^ _94129 : [(234 ^ _94129) ^ [] : [-(sdtasdt0(_101346, sdtpldt0(_101344, _101342)) = sdtpldt0(sdtasdt0(_101346, _101344), sdtasdt0(_101346, _101342)))], (236 ^ _94129) ^ [] : [-(sdtasdt0(sdtpldt0(_101344, _101342), _101346) = sdtpldt0(sdtasdt0(_101344, _101346), sdtasdt0(_101342, _101346)))]], aElement0(_101346), aElement0(_101344), aElement0(_101342)], (238 ^ _94129) ^ [_101861] : [aElement0(_101861), 241 ^ _94129 : [(242 ^ _94129) ^ [] : [-(sdtasdt0(smndt0(sz10), _101861) = smndt0(_101861))], (244 ^ _94129) ^ [] : [-(smndt0(_101861) = sdtasdt0(_101861, smndt0(sz10)))]]], (246 ^ _94129) ^ [_102142] : [aElement0(_102142), 249 ^ _94129 : [(250 ^ _94129) ^ [] : [-(sdtasdt0(_102142, sz00) = sz00)], (252 ^ _94129) ^ [] : [-(sz00 = sdtasdt0(sz00, _102142))]]], (254 ^ _94129) ^ [_102429, _102431] : [aElement0(_102431), aElement0(_102429), sdtasdt0(_102431, _102429) = sz00, -(_102431 = sz00), -(_102429 = sz00)], (272 ^ _94129) ^ [] : [sz10 = sz00], (274 ^ _94129) ^ [_102949] : [aSet0(_102949), true___, -(true___)], (284 ^ _94129) ^ [_103204] : [aSet0(_103204), 287 ^ _94129 : [(288 ^ _94129) ^ [_103334] : [aElementOf0(_103334, _103204), -(aElement0(_103334))]]], (294 ^ _94129) ^ [_103549, _103551] : [aSet0(_103551), aSet0(_103549), -(_103551 = _103549), 306 ^ _94129 : [(307 ^ _94129) ^ [] : [-(aElementOf0(305 ^ [_103549, _103551], _103551))], (309 ^ _94129) ^ [] : [aElementOf0(305 ^ [_103549, _103551], _103549)]], 311 ^ _94129 : [(312 ^ _94129) ^ [] : [-(aElementOf0(310 ^ [_103549, _103551], _103549))], (314 ^ _94129) ^ [] : [aElementOf0(310 ^ [_103549, _103551], _103551)]]], (318 ^ _94129) ^ [_104314, _104316] : [aSet0(_104316), aSet0(_104314), 325 ^ _94129 : [(358 ^ _94129) ^ [_105944] : [-(_105944 = sdtpldt1(_104316, _104314)), aSet0(_105944), 380 ^ _94129 : [(381 ^ _94129) ^ [] : [-(aElementOf0(378 ^ [_104314, _104316, _105944], _104316))], (383 ^ _94129) ^ [] : [-(aElementOf0(379 ^ [_104314, _104316, _105944], _104314))], (385 ^ _94129) ^ [] : [-(sdtpldt0(378 ^ [_104314, _104316, _105944], 379 ^ [_104314, _104316, _105944]) = 363 ^ [_104314, _104316, _105944])], (387 ^ _94129) ^ [] : [aElementOf0(363 ^ [_104314, _104316, _105944], _105944)]], 366 ^ _94129 : [(367 ^ _94129) ^ [] : [-(aElementOf0(363 ^ [_104314, _104316, _105944], _105944))], (369 ^ _94129) ^ [_106373, _106375] : [aElementOf0(_106375, _104316), aElementOf0(_106373, _104314), sdtpldt0(_106375, _106373) = 363 ^ [_104314, _104316, _105944]]]], (326 ^ _94129) ^ [_104609] : [_104609 = sdtpldt1(_104316, _104314), 329 ^ _94129 : [(330 ^ _94129) ^ [] : [-(aSet0(_104609))], (332 ^ _94129) ^ [_104886] : [aElementOf0(_104886, _104609), 337 ^ _94129 : [(338 ^ _94129) ^ [] : [-(aElementOf0(335 ^ [_104314, _104316, _104609, _104886], _104316))], (340 ^ _94129) ^ [] : [-(aElementOf0(336 ^ [_104314, _104316, _104609, _104886], _104314))], (342 ^ _94129) ^ [] : [-(sdtpldt0(335 ^ [_104314, _104316, _104609, _104886], 336 ^ [_104314, _104316, _104609, _104886]) = _104886)]]], (344 ^ _94129) ^ [_105446] : [-(aElementOf0(_105446, _104609)), 345 ^ _94129 : [(346 ^ _94129) ^ [_105576, _105578] : [aElementOf0(_105578, _104316), aElementOf0(_105576, _104314), sdtpldt0(_105578, _105576) = _105446]]]]]]], (391 ^ _94129) ^ [_107294, _107296] : [aSet0(_107296), aSet0(_107294), 398 ^ _94129 : [(423 ^ _94129) ^ [_108373] : [-(_108373 = sdtasasdt0(_107296, _107294)), aSet0(_108373), 439 ^ _94129 : [(440 ^ _94129) ^ [] : [-(aElementOf0(428 ^ [_107294, _107296, _108373], _107296))], (442 ^ _94129) ^ [] : [-(aElementOf0(428 ^ [_107294, _107296, _108373], _107294))], (444 ^ _94129) ^ [] : [aElementOf0(428 ^ [_107294, _107296, _108373], _108373)]], 431 ^ _94129 : [(432 ^ _94129) ^ [] : [-(aElementOf0(428 ^ [_107294, _107296, _108373], _108373))], (434 ^ _94129) ^ [] : [aElementOf0(428 ^ [_107294, _107296, _108373], _107296), aElementOf0(428 ^ [_107294, _107296, _108373], _107294)]]], (399 ^ _94129) ^ [_107570] : [_107570 = sdtasasdt0(_107296, _107294), 402 ^ _94129 : [(403 ^ _94129) ^ [] : [-(aSet0(_107570))], (405 ^ _94129) ^ [_107828] : [aElementOf0(_107828, _107570), 408 ^ _94129 : [(409 ^ _94129) ^ [] : [-(aElementOf0(_107828, _107296))], (411 ^ _94129) ^ [] : [-(aElementOf0(_107828, _107294))]]], (413 ^ _94129) ^ [_108087] : [-(aElementOf0(_108087, _107570)), aElementOf0(_108087, _107296), aElementOf0(_108087, _107294)]]]]], (470 ^ _94129) ^ [_110038] : [-(aIdeal0(_110038)), aSet0(_110038), 476 ^ _94129 : [(477 ^ _94129) ^ [] : [-(aElementOf0(475 ^ [_110038], _110038))], (479 ^ _94129) ^ [] : [481 ^ _94129 : [(482 ^ _94129) ^ [] : [-(aElementOf0(480 ^ [_110038], _110038))], (484 ^ _94129) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_110038], 480 ^ [_110038]), _110038)]], 486 ^ _94129 : [(487 ^ _94129) ^ [] : [-(aElement0(485 ^ [_110038]))], (489 ^ _94129) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_110038], 475 ^ [_110038]), _110038)]]]]], (448 ^ _94129) ^ [_109243] : [aIdeal0(_109243), 451 ^ _94129 : [(452 ^ _94129) ^ [] : [-(aSet0(_109243))], (454 ^ _94129) ^ [_109475] : [aElementOf0(_109475, _109243), 457 ^ _94129 : [(458 ^ _94129) ^ [_109656] : [aElementOf0(_109656, _109243), -(aElementOf0(sdtpldt0(_109475, _109656), _109243))], (464 ^ _94129) ^ [_109848] : [aElement0(_109848), -(aElementOf0(sdtasdt0(_109848, _109475), _109243))]]]]], (493 ^ _94129) ^ [] : [-(aSet0(xI))], (495 ^ _94129) ^ [_110917] : [aElementOf0(_110917, xI), 498 ^ _94129 : [(499 ^ _94129) ^ [_111092] : [aElementOf0(_111092, xI), -(aElementOf0(sdtpldt0(_110917, _111092), xI))], (505 ^ _94129) ^ [_111276] : [aElement0(_111276), -(aElementOf0(sdtasdt0(_111276, _110917), xI))]]], (511 ^ _94129) ^ [] : [-(aIdeal0(xI))], (513 ^ _94129) ^ [] : [-(aSet0(xJ))], (531 ^ _94129) ^ [] : [-(aIdeal0(xJ))], (515 ^ _94129) ^ [_111591] : [aElementOf0(_111591, xJ), 518 ^ _94129 : [(519 ^ _94129) ^ [_111766] : [aElementOf0(_111766, xJ), -(aElementOf0(sdtpldt0(_111591, _111766), xJ))], (525 ^ _94129) ^ [_111950] : [aElement0(_111950), -(aElementOf0(sdtasdt0(_111950, _111591), xJ))]]]], input).
% 0.32/1.37 ncf('1',plain,[647 : aElementOf0(sdtpldt0(638 ^ [], 643 ^ []), sdtpldt1(xI, xJ)), 652 : aElementOf0(sdtasdt0(648 ^ [], 638 ^ []), sdtpldt1(xI, xJ))],start(642 ^ 0)).
% 0.32/1.37 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(638 ^ [], 643 ^ []), sdtpldt1(xI, xJ))), 547 : aElementOf0(638 ^ [], sdtpldt1(xI, xJ)), 547 : aElement0(sz00), 561 : aElementOf0(643 ^ [], sdtpldt1(xI, xJ))],extension(533 ^ 3,bind([[_112393, _112395, _112397], [sz00, 643 ^ [], 638 ^ []]]))).
% 0.32/1.37 ncf('1.1.1',plain,[-(aElementOf0(638 ^ [], sdtpldt1(xI, xJ)))],extension(640 ^ 6)).
% 0.32/1.37 ncf('1.1.2',plain,[-(aElement0(sz00))],extension(120 ^ 4)).
% 0.32/1.37 ncf('1.1.3',plain,[-(aElementOf0(643 ^ [], sdtpldt1(xI, xJ)))],extension(645 ^ 6)).
% 0.32/1.37 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(648 ^ [], 638 ^ []), sdtpldt1(xI, xJ))), 547 : aElementOf0(638 ^ [], sdtpldt1(xI, xJ)), 547 : aElement0(648 ^ []), 561 : aElementOf0(638 ^ [], sdtpldt1(xI, xJ))],extension(533 ^ 3,bind([[_112393, _112395, _112397], [648 ^ [], 638 ^ [], 638 ^ []]]))).
% 0.32/1.37 ncf('1.2.1',plain,[-(aElementOf0(638 ^ [], sdtpldt1(xI, xJ)))],extension(640 ^ 6)).
% 0.32/1.37 ncf('1.2.2',plain,[-(aElement0(648 ^ []))],extension(650 ^ 4)).
% 0.32/1.37 ncf('1.2.3',plain,[-(aElementOf0(638 ^ [], sdtpldt1(xI, xJ)))],extension(640 ^ 6)).
% 0.32/1.37 %-----------------------------------------------------
% 0.32/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------