TSTP Solution File: RNG093+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 0.38s 1.36s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG093+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : nanocop.sh %s %d
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 18 20:15:46 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.38/1.36
% 0.38/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.36 %-----------------------------------------------------
% 0.38/1.36 ncf(matrix, plain, [(578 ^ _78241) ^ [] : [aIdeal0(sdtasasdt0(xI, xJ))], (564 ^ _78241) ^ [] : [-(aElementOf0(562 ^ [], sdtasasdt0(xI, xJ)))], (566 ^ _78241) ^ [] : [568 ^ _78241 : [(569 ^ _78241) ^ [] : [-(aElementOf0(567 ^ [], sdtasasdt0(xI, xJ)))], (571 ^ _78241) ^ [] : [aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), sdtasasdt0(xI, xJ))]], 573 ^ _78241 : [(574 ^ _78241) ^ [] : [-(aElement0(572 ^ []))], (576 ^ _78241) ^ [] : [aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), sdtasasdt0(xI, xJ))]]], (543 ^ _78241) ^ [] : [-(aSet0(sdtasasdt0(xI, xJ)))], (545 ^ _78241) ^ [_96864] : [aElementOf0(_96864, sdtasasdt0(xI, xJ)), 548 ^ _78241 : [(549 ^ _78241) ^ [] : [-(aElementOf0(_96864, xI))], (551 ^ _78241) ^ [] : [-(aElementOf0(_96864, xJ))]]], (553 ^ _78241) ^ [_97093] : [-(aElementOf0(_97093, sdtasasdt0(xI, xJ))), aElementOf0(_97093, xI), aElementOf0(_97093, xJ)], (64 ^ _78241) ^ [_80330, _80332] : [_80332 = _80330, -(smndt0(_80332) = smndt0(_80330))], (70 ^ _78241) ^ [_80576, _80578, _80580, _80582] : [-(sdtpldt1(_80582, _80578) = sdtpldt1(_80580, _80576)), _80582 = _80580, _80578 = _80576], (80 ^ _78241) ^ [_80935, _80937, _80939, _80941] : [-(sdtpldt0(_80941, _80937) = sdtpldt0(_80939, _80935)), _80941 = _80939, _80937 = _80935], (90 ^ _78241) ^ [_81294, _81296, _81298, _81300] : [-(sdtasdt0(_81300, _81296) = sdtasdt0(_81298, _81294)), _81300 = _81298, _81296 = _81294], (100 ^ _78241) ^ [_81633, _81635, _81637, _81639] : [-(sdtasasdt0(_81639, _81635) = sdtasasdt0(_81637, _81633)), _81639 = _81637, _81635 = _81633], (2 ^ _78241) ^ [_78385] : [-(_78385 = _78385)], (4 ^ _78241) ^ [_78492, _78494] : [_78494 = _78492, -(_78492 = _78494)], (10 ^ _78241) ^ [_78696, _78698, _78700] : [-(_78700 = _78696), _78700 = _78698, _78698 = _78696], (20 ^ _78241) ^ [_79009, _79011] : [-(aSet0(_79009)), _79011 = _79009, aSet0(_79011)], (30 ^ _78241) ^ [_79304, _79306] : [-(aElement0(_79304)), _79306 = _79304, aElement0(_79306)], (54 ^ _78241) ^ [_80023, _80025] : [-(aIdeal0(_80023)), _80025 = _80023, aIdeal0(_80025)], (40 ^ _78241) ^ [_79627, _79629, _79631, _79633] : [-(aElementOf0(_79631, _79627)), aElementOf0(_79633, _79629), _79633 = _79631, _79629 = _79627], (110 ^ _78241) ^ [_81968] : [aElement0(_81968), true___, -(true___)], (120 ^ _78241) ^ [] : [-(aElement0(sz00))], (122 ^ _78241) ^ [] : [-(aElement0(sz10))], (124 ^ _78241) ^ [_82329] : [aElement0(_82329), -(aElement0(smndt0(_82329)))], (130 ^ _78241) ^ [_82533, _82535] : [-(aElement0(sdtpldt0(_82535, _82533))), aElement0(_82535), aElement0(_82533)], (140 ^ _78241) ^ [_82832, _82834] : [-(aElement0(sdtasdt0(_82834, _82832))), aElement0(_82834), aElement0(_82832)], (150 ^ _78241) ^ [_83131, _83133] : [-(sdtpldt0(_83133, _83131) = sdtpldt0(_83131, _83133)), aElement0(_83133), aElement0(_83131)], (160 ^ _78241) ^ [_83452, _83454, _83456] : [-(sdtpldt0(sdtpldt0(_83456, _83454), _83452) = sdtpldt0(_83456, sdtpldt0(_83454, _83452))), aElement0(_83456), aElement0(_83454), aElement0(_83452)], (174 ^ _78241) ^ [_83858] : [aElement0(_83858), 177 ^ _78241 : [(178 ^ _78241) ^ [] : [-(sdtpldt0(_83858, sz00) = _83858)], (180 ^ _78241) ^ [] : [-(_83858 = sdtpldt0(sz00, _83858))]]], (182 ^ _78241) ^ [_84131] : [aElement0(_84131), 185 ^ _78241 : [(186 ^ _78241) ^ [] : [-(sdtpldt0(_84131, smndt0(_84131)) = sz00)], (188 ^ _78241) ^ [] : [-(sz00 = sdtpldt0(smndt0(_84131), _84131))]]], (190 ^ _78241) ^ [_84426, _84428] : [-(sdtasdt0(_84428, _84426) = sdtasdt0(_84426, _84428)), aElement0(_84428), aElement0(_84426)], (200 ^ _78241) ^ [_84747, _84749, _84751] : [-(sdtasdt0(sdtasdt0(_84751, _84749), _84747) = sdtasdt0(_84751, sdtasdt0(_84749, _84747))), aElement0(_84751), aElement0(_84749), aElement0(_84747)], (214 ^ _78241) ^ [_85153] : [aElement0(_85153), 217 ^ _78241 : [(218 ^ _78241) ^ [] : [-(sdtasdt0(_85153, sz10) = _85153)], (220 ^ _78241) ^ [] : [-(_85153 = sdtasdt0(sz10, _85153))]]], (222 ^ _78241) ^ [_85454, _85456, _85458] : [233 ^ _78241 : [(234 ^ _78241) ^ [] : [-(sdtasdt0(_85458, sdtpldt0(_85456, _85454)) = sdtpldt0(sdtasdt0(_85458, _85456), sdtasdt0(_85458, _85454)))], (236 ^ _78241) ^ [] : [-(sdtasdt0(sdtpldt0(_85456, _85454), _85458) = sdtpldt0(sdtasdt0(_85456, _85458), sdtasdt0(_85454, _85458)))]], aElement0(_85458), aElement0(_85456), aElement0(_85454)], (238 ^ _78241) ^ [_85973] : [aElement0(_85973), 241 ^ _78241 : [(242 ^ _78241) ^ [] : [-(sdtasdt0(smndt0(sz10), _85973) = smndt0(_85973))], (244 ^ _78241) ^ [] : [-(smndt0(_85973) = sdtasdt0(_85973, smndt0(sz10)))]]], (246 ^ _78241) ^ [_86254] : [aElement0(_86254), 249 ^ _78241 : [(250 ^ _78241) ^ [] : [-(sdtasdt0(_86254, sz00) = sz00)], (252 ^ _78241) ^ [] : [-(sz00 = sdtasdt0(sz00, _86254))]]], (254 ^ _78241) ^ [_86541, _86543] : [aElement0(_86543), aElement0(_86541), sdtasdt0(_86543, _86541) = sz00, -(_86543 = sz00), -(_86541 = sz00)], (272 ^ _78241) ^ [] : [sz10 = sz00], (274 ^ _78241) ^ [_87061] : [aSet0(_87061), true___, -(true___)], (284 ^ _78241) ^ [_87316] : [aSet0(_87316), 287 ^ _78241 : [(288 ^ _78241) ^ [_87446] : [aElementOf0(_87446, _87316), -(aElement0(_87446))]]], (294 ^ _78241) ^ [_87661, _87663] : [aSet0(_87663), aSet0(_87661), -(_87663 = _87661), 306 ^ _78241 : [(307 ^ _78241) ^ [] : [-(aElementOf0(305 ^ [_87661, _87663], _87663))], (309 ^ _78241) ^ [] : [aElementOf0(305 ^ [_87661, _87663], _87661)]], 311 ^ _78241 : [(312 ^ _78241) ^ [] : [-(aElementOf0(310 ^ [_87661, _87663], _87661))], (314 ^ _78241) ^ [] : [aElementOf0(310 ^ [_87661, _87663], _87663)]]], (318 ^ _78241) ^ [_88426, _88428] : [aSet0(_88428), aSet0(_88426), 325 ^ _78241 : [(358 ^ _78241) ^ [_90056] : [-(_90056 = sdtpldt1(_88428, _88426)), aSet0(_90056), 380 ^ _78241 : [(381 ^ _78241) ^ [] : [-(aElementOf0(378 ^ [_88426, _88428, _90056], _88428))], (383 ^ _78241) ^ [] : [-(aElementOf0(379 ^ [_88426, _88428, _90056], _88426))], (385 ^ _78241) ^ [] : [-(sdtpldt0(378 ^ [_88426, _88428, _90056], 379 ^ [_88426, _88428, _90056]) = 363 ^ [_88426, _88428, _90056])], (387 ^ _78241) ^ [] : [aElementOf0(363 ^ [_88426, _88428, _90056], _90056)]], 366 ^ _78241 : [(367 ^ _78241) ^ [] : [-(aElementOf0(363 ^ [_88426, _88428, _90056], _90056))], (369 ^ _78241) ^ [_90485, _90487] : [aElementOf0(_90487, _88428), aElementOf0(_90485, _88426), sdtpldt0(_90487, _90485) = 363 ^ [_88426, _88428, _90056]]]], (326 ^ _78241) ^ [_88721] : [_88721 = sdtpldt1(_88428, _88426), 329 ^ _78241 : [(330 ^ _78241) ^ [] : [-(aSet0(_88721))], (332 ^ _78241) ^ [_88998] : [aElementOf0(_88998, _88721), 337 ^ _78241 : [(338 ^ _78241) ^ [] : [-(aElementOf0(335 ^ [_88426, _88428, _88721, _88998], _88428))], (340 ^ _78241) ^ [] : [-(aElementOf0(336 ^ [_88426, _88428, _88721, _88998], _88426))], (342 ^ _78241) ^ [] : [-(sdtpldt0(335 ^ [_88426, _88428, _88721, _88998], 336 ^ [_88426, _88428, _88721, _88998]) = _88998)]]], (344 ^ _78241) ^ [_89558] : [-(aElementOf0(_89558, _88721)), 345 ^ _78241 : [(346 ^ _78241) ^ [_89688, _89690] : [aElementOf0(_89690, _88428), aElementOf0(_89688, _88426), sdtpldt0(_89690, _89688) = _89558]]]]]]], (391 ^ _78241) ^ [_91406, _91408] : [aSet0(_91408), aSet0(_91406), 398 ^ _78241 : [(423 ^ _78241) ^ [_92485] : [-(_92485 = sdtasasdt0(_91408, _91406)), aSet0(_92485), 439 ^ _78241 : [(440 ^ _78241) ^ [] : [-(aElementOf0(428 ^ [_91406, _91408, _92485], _91408))], (442 ^ _78241) ^ [] : [-(aElementOf0(428 ^ [_91406, _91408, _92485], _91406))], (444 ^ _78241) ^ [] : [aElementOf0(428 ^ [_91406, _91408, _92485], _92485)]], 431 ^ _78241 : [(432 ^ _78241) ^ [] : [-(aElementOf0(428 ^ [_91406, _91408, _92485], _92485))], (434 ^ _78241) ^ [] : [aElementOf0(428 ^ [_91406, _91408, _92485], _91408), aElementOf0(428 ^ [_91406, _91408, _92485], _91406)]]], (399 ^ _78241) ^ [_91682] : [_91682 = sdtasasdt0(_91408, _91406), 402 ^ _78241 : [(403 ^ _78241) ^ [] : [-(aSet0(_91682))], (405 ^ _78241) ^ [_91940] : [aElementOf0(_91940, _91682), 408 ^ _78241 : [(409 ^ _78241) ^ [] : [-(aElementOf0(_91940, _91408))], (411 ^ _78241) ^ [] : [-(aElementOf0(_91940, _91406))]]], (413 ^ _78241) ^ [_92199] : [-(aElementOf0(_92199, _91682)), aElementOf0(_92199, _91408), aElementOf0(_92199, _91406)]]]]], (470 ^ _78241) ^ [_94150] : [-(aIdeal0(_94150)), aSet0(_94150), 476 ^ _78241 : [(477 ^ _78241) ^ [] : [-(aElementOf0(475 ^ [_94150], _94150))], (479 ^ _78241) ^ [] : [481 ^ _78241 : [(482 ^ _78241) ^ [] : [-(aElementOf0(480 ^ [_94150], _94150))], (484 ^ _78241) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_94150], 480 ^ [_94150]), _94150)]], 486 ^ _78241 : [(487 ^ _78241) ^ [] : [-(aElement0(485 ^ [_94150]))], (489 ^ _78241) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_94150], 475 ^ [_94150]), _94150)]]]]], (448 ^ _78241) ^ [_93355] : [aIdeal0(_93355), 451 ^ _78241 : [(452 ^ _78241) ^ [] : [-(aSet0(_93355))], (454 ^ _78241) ^ [_93587] : [aElementOf0(_93587, _93355), 457 ^ _78241 : [(458 ^ _78241) ^ [_93768] : [aElementOf0(_93768, _93355), -(aElementOf0(sdtpldt0(_93587, _93768), _93355))], (464 ^ _78241) ^ [_93960] : [aElement0(_93960), -(aElementOf0(sdtasdt0(_93960, _93587), _93355))]]]]], (493 ^ _78241) ^ [_94990, _94992] : [-(aIdeal0(sdtpldt1(_94992, _94990))), aIdeal0(_94992), aIdeal0(_94990)], (503 ^ _78241) ^ [] : [-(aSet0(xI))], (505 ^ _78241) ^ [_95328] : [aElementOf0(_95328, xI), 508 ^ _78241 : [(509 ^ _78241) ^ [_95503] : [aElementOf0(_95503, xI), -(aElementOf0(sdtpldt0(_95328, _95503), xI))], (515 ^ _78241) ^ [_95687] : [aElement0(_95687), -(aElementOf0(sdtasdt0(_95687, _95328), xI))]]], (521 ^ _78241) ^ [] : [-(aIdeal0(xI))], (523 ^ _78241) ^ [] : [-(aSet0(xJ))], (541 ^ _78241) ^ [] : [-(aIdeal0(xJ))], (525 ^ _78241) ^ [_96002] : [aElementOf0(_96002, xJ), 528 ^ _78241 : [(529 ^ _78241) ^ [_96177] : [aElementOf0(_96177, xJ), -(aElementOf0(sdtpldt0(_96002, _96177), xJ))], (535 ^ _78241) ^ [_96361] : [aElement0(_96361), -(aElementOf0(sdtasdt0(_96361, _96002), xJ))]]]], input).
% 0.38/1.36 ncf('1',plain,[571 : aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), sdtasasdt0(xI, xJ)), 576 : aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), sdtasasdt0(xI, xJ))],start(566 ^ 0)).
% 0.38/1.36 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), sdtasasdt0(xI, xJ))), aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), xI), aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), xJ)],extension(553 ^ 3,bind([[_97093], [sdtpldt0(562 ^ [], 567 ^ [])]]))).
% 0.38/1.36 ncf('1.1.1',plain,[-(aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), xI)), 458 : aElementOf0(567 ^ [], xI), 458 : aElementOf0(562 ^ [], xI), 454 : aIdeal0(xI)],extension(448 ^ 4,bind([[_93355, _93587, _93768], [xI, 562 ^ [], 567 ^ []]]))).
% 0.38/1.36 ncf('1.1.1.1',plain,[-(aElementOf0(567 ^ [], xI)), aElementOf0(567 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 9,bind([[_96864], [567 ^ []]]))).
% 0.38/1.36 ncf('1.1.1.1.1',plain,[-(aElementOf0(567 ^ [], sdtasasdt0(xI, xJ)))],extension(569 ^ 10)).
% 0.38/1.36 ncf('1.1.1.2',plain,[-(aElementOf0(562 ^ [], xI)), aElementOf0(562 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 7,bind([[_96864], [562 ^ []]]))).
% 0.38/1.36 ncf('1.1.1.2.1',plain,[-(aElementOf0(562 ^ [], sdtasasdt0(xI, xJ)))],extension(564 ^ 8)).
% 0.38/1.36 ncf('1.1.1.3',plain,[-(aIdeal0(xI))],extension(521 ^ 5)).
% 0.38/1.36 ncf('1.1.2',plain,[-(aElementOf0(sdtpldt0(562 ^ [], 567 ^ []), xJ)), 458 : aElementOf0(567 ^ [], xJ), 458 : aElementOf0(562 ^ [], xJ), 454 : aIdeal0(xJ)],extension(448 ^ 4,bind([[_93355, _93587, _93768], [xJ, 562 ^ [], 567 ^ []]]))).
% 0.38/1.36 ncf('1.1.2.1',plain,[-(aElementOf0(567 ^ [], xJ)), aElementOf0(567 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 9,bind([[_96864], [567 ^ []]]))).
% 0.38/1.36 ncf('1.1.2.1.1',plain,[-(aElementOf0(567 ^ [], sdtasasdt0(xI, xJ)))],extension(569 ^ 10)).
% 0.38/1.36 ncf('1.1.2.2',plain,[-(aElementOf0(562 ^ [], xJ)), aElementOf0(562 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 7,bind([[_96864], [562 ^ []]]))).
% 0.38/1.36 ncf('1.1.2.2.1',plain,[-(aElementOf0(562 ^ [], sdtasasdt0(xI, xJ)))],extension(564 ^ 8)).
% 0.38/1.36 ncf('1.1.2.3',plain,[-(aIdeal0(xJ))],extension(541 ^ 5)).
% 0.38/1.36 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), sdtasasdt0(xI, xJ))), aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), xI), aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), xJ)],extension(553 ^ 3,bind([[_97093], [sdtasdt0(572 ^ [], 562 ^ [])]]))).
% 0.38/1.36 ncf('1.2.1',plain,[-(aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), xI)), 464 : aElement0(572 ^ []), 464 : aElementOf0(562 ^ [], xI), 454 : aIdeal0(xI)],extension(448 ^ 4,bind([[_93355, _93587, _93960], [xI, 562 ^ [], 572 ^ []]]))).
% 0.38/1.36 ncf('1.2.1.1',plain,[-(aElement0(572 ^ []))],extension(574 ^ 9)).
% 0.38/1.36 ncf('1.2.1.2',plain,[-(aElementOf0(562 ^ [], xI)), aElementOf0(562 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 7,bind([[_96864], [562 ^ []]]))).
% 0.38/1.36 ncf('1.2.1.2.1',plain,[-(aElementOf0(562 ^ [], sdtasasdt0(xI, xJ)))],extension(564 ^ 8)).
% 0.38/1.36 ncf('1.2.1.3',plain,[-(aIdeal0(xI))],extension(521 ^ 5)).
% 0.38/1.36 ncf('1.2.2',plain,[-(aElementOf0(sdtasdt0(572 ^ [], 562 ^ []), xJ)), 464 : aElement0(572 ^ []), 464 : aElementOf0(562 ^ [], xJ), 454 : aIdeal0(xJ)],extension(448 ^ 4,bind([[_93355, _93587, _93960], [xJ, 562 ^ [], 572 ^ []]]))).
% 0.38/1.36 ncf('1.2.2.1',plain,[-(aElement0(572 ^ []))],extension(574 ^ 9)).
% 0.38/1.36 ncf('1.2.2.2',plain,[-(aElementOf0(562 ^ [], xJ)), aElementOf0(562 ^ [], sdtasasdt0(xI, xJ))],extension(545 ^ 7,bind([[_96864], [562 ^ []]]))).
% 0.38/1.36 ncf('1.2.2.2.1',plain,[-(aElementOf0(562 ^ [], sdtasasdt0(xI, xJ)))],extension(564 ^ 8)).
% 0.38/1.36 ncf('1.2.2.3',plain,[-(aIdeal0(xJ))],extension(541 ^ 5)).
% 0.38/1.36 %-----------------------------------------------------
% 0.38/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------