TSTP Solution File: RNG089+2 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 20:12:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(571 ^ _75812) ^ [] : [aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ)], (64 ^ _75812) ^ [_77901, _77903] : [_77903 = _77901, -(smndt0(_77903) = smndt0(_77901))], (70 ^ _75812) ^ [_78147, _78149, _78151, _78153] : [-(sdtasasdt0(_78153, _78149) = sdtasasdt0(_78151, _78147)), _78153 = _78151, _78149 = _78147], (80 ^ _75812) ^ [_78506, _78508, _78510, _78512] : [-(sdtpldt1(_78512, _78508) = sdtpldt1(_78510, _78506)), _78512 = _78510, _78508 = _78506], (90 ^ _75812) ^ [_78865, _78867, _78869, _78871] : [-(sdtpldt0(_78871, _78867) = sdtpldt0(_78869, _78865)), _78871 = _78869, _78867 = _78865], (100 ^ _75812) ^ [_79204, _79206, _79208, _79210] : [-(sdtasdt0(_79210, _79206) = sdtasdt0(_79208, _79204)), _79210 = _79208, _79206 = _79204], (2 ^ _75812) ^ [_75956] : [-(_75956 = _75956)], (4 ^ _75812) ^ [_76063, _76065] : [_76065 = _76063, -(_76063 = _76065)], (10 ^ _75812) ^ [_76267, _76269, _76271] : [-(_76271 = _76267), _76271 = _76269, _76269 = _76267], (20 ^ _75812) ^ [_76580, _76582] : [-(aSet0(_76580)), _76582 = _76580, aSet0(_76582)], (30 ^ _75812) ^ [_76875, _76877] : [-(aIdeal0(_76875)), _76877 = _76875, aIdeal0(_76877)], (40 ^ _75812) ^ [_77170, _77172] : [-(aElement0(_77170)), _77172 = _77170, aElement0(_77172)], (50 ^ _75812) ^ [_77473, _77475, _77477, _77479] : [-(aElementOf0(_77477, _77473)), aElementOf0(_77479, _77475), _77479 = _77477, _77475 = _77473], (110 ^ _75812) ^ [_79539] : [aElement0(_79539), true___, -(true___)], (120 ^ _75812) ^ [] : [-(aElement0(sz00))], (122 ^ _75812) ^ [] : [-(aElement0(sz10))], (124 ^ _75812) ^ [_79900] : [aElement0(_79900), -(aElement0(smndt0(_79900)))], (130 ^ _75812) ^ [_80104, _80106] : [-(aElement0(sdtpldt0(_80106, _80104))), aElement0(_80106), aElement0(_80104)], (140 ^ _75812) ^ [_80403, _80405] : [-(aElement0(sdtasdt0(_80405, _80403))), aElement0(_80405), aElement0(_80403)], (150 ^ _75812) ^ [_80702, _80704] : [-(sdtpldt0(_80704, _80702) = sdtpldt0(_80702, _80704)), aElement0(_80704), aElement0(_80702)], (160 ^ _75812) ^ [_81023, _81025, _81027] : [-(sdtpldt0(sdtpldt0(_81027, _81025), _81023) = sdtpldt0(_81027, sdtpldt0(_81025, _81023))), aElement0(_81027), aElement0(_81025), aElement0(_81023)], (174 ^ _75812) ^ [_81429] : [aElement0(_81429), 177 ^ _75812 : [(178 ^ _75812) ^ [] : [-(sdtpldt0(_81429, sz00) = _81429)], (180 ^ _75812) ^ [] : [-(_81429 = sdtpldt0(sz00, _81429))]]], (182 ^ _75812) ^ [_81702] : [aElement0(_81702), 185 ^ _75812 : [(186 ^ _75812) ^ [] : [-(sdtpldt0(_81702, smndt0(_81702)) = sz00)], (188 ^ _75812) ^ [] : [-(sz00 = sdtpldt0(smndt0(_81702), _81702))]]], (190 ^ _75812) ^ [_81997, _81999] : [-(sdtasdt0(_81999, _81997) = sdtasdt0(_81997, _81999)), aElement0(_81999), aElement0(_81997)], (200 ^ _75812) ^ [_82318, _82320, _82322] : [-(sdtasdt0(sdtasdt0(_82322, _82320), _82318) = sdtasdt0(_82322, sdtasdt0(_82320, _82318))), aElement0(_82322), aElement0(_82320), aElement0(_82318)], (214 ^ _75812) ^ [_82724] : [aElement0(_82724), 217 ^ _75812 : [(218 ^ _75812) ^ [] : [-(sdtasdt0(_82724, sz10) = _82724)], (220 ^ _75812) ^ [] : [-(_82724 = sdtasdt0(sz10, _82724))]]], (222 ^ _75812) ^ [_83025, _83027, _83029] : [233 ^ _75812 : [(234 ^ _75812) ^ [] : [-(sdtasdt0(_83029, sdtpldt0(_83027, _83025)) = sdtpldt0(sdtasdt0(_83029, _83027), sdtasdt0(_83029, _83025)))], (236 ^ _75812) ^ [] : [-(sdtasdt0(sdtpldt0(_83027, _83025), _83029) = sdtpldt0(sdtasdt0(_83027, _83029), sdtasdt0(_83025, _83029)))]], aElement0(_83029), aElement0(_83027), aElement0(_83025)], (238 ^ _75812) ^ [_83544] : [aElement0(_83544), 241 ^ _75812 : [(242 ^ _75812) ^ [] : [-(sdtasdt0(smndt0(sz10), _83544) = smndt0(_83544))], (244 ^ _75812) ^ [] : [-(smndt0(_83544) = sdtasdt0(_83544, smndt0(sz10)))]]], (246 ^ _75812) ^ [_83825] : [aElement0(_83825), 249 ^ _75812 : [(250 ^ _75812) ^ [] : [-(sdtasdt0(_83825, sz00) = sz00)], (252 ^ _75812) ^ [] : [-(sz00 = sdtasdt0(sz00, _83825))]]], (254 ^ _75812) ^ [_84112, _84114] : [aElement0(_84114), aElement0(_84112), sdtasdt0(_84114, _84112) = sz00, -(_84114 = sz00), -(_84112 = sz00)], (272 ^ _75812) ^ [] : [sz10 = sz00], (274 ^ _75812) ^ [_84632] : [aSet0(_84632), true___, -(true___)], (284 ^ _75812) ^ [_84887] : [aSet0(_84887), 287 ^ _75812 : [(288 ^ _75812) ^ [_85017] : [aElementOf0(_85017, _84887), -(aElement0(_85017))]]], (294 ^ _75812) ^ [_85232, _85234] : [aSet0(_85234), aSet0(_85232), -(_85234 = _85232), 306 ^ _75812 : [(307 ^ _75812) ^ [] : [-(aElementOf0(305 ^ [_85232, _85234], _85234))], (309 ^ _75812) ^ [] : [aElementOf0(305 ^ [_85232, _85234], _85232)]], 311 ^ _75812 : [(312 ^ _75812) ^ [] : [-(aElementOf0(310 ^ [_85232, _85234], _85232))], (314 ^ _75812) ^ [] : [aElementOf0(310 ^ [_85232, _85234], _85234)]]], (318 ^ _75812) ^ [_85997, _85999] : [aSet0(_85999), aSet0(_85997), 325 ^ _75812 : [(358 ^ _75812) ^ [_87627] : [-(_87627 = sdtpldt1(_85999, _85997)), aSet0(_87627), 380 ^ _75812 : [(381 ^ _75812) ^ [] : [-(aElementOf0(378 ^ [_85997, _85999, _87627], _85999))], (383 ^ _75812) ^ [] : [-(aElementOf0(379 ^ [_85997, _85999, _87627], _85997))], (385 ^ _75812) ^ [] : [-(sdtpldt0(378 ^ [_85997, _85999, _87627], 379 ^ [_85997, _85999, _87627]) = 363 ^ [_85997, _85999, _87627])], (387 ^ _75812) ^ [] : [aElementOf0(363 ^ [_85997, _85999, _87627], _87627)]], 366 ^ _75812 : [(367 ^ _75812) ^ [] : [-(aElementOf0(363 ^ [_85997, _85999, _87627], _87627))], (369 ^ _75812) ^ [_88056, _88058] : [aElementOf0(_88058, _85999), aElementOf0(_88056, _85997), sdtpldt0(_88058, _88056) = 363 ^ [_85997, _85999, _87627]]]], (326 ^ _75812) ^ [_86292] : [_86292 = sdtpldt1(_85999, _85997), 329 ^ _75812 : [(330 ^ _75812) ^ [] : [-(aSet0(_86292))], (332 ^ _75812) ^ [_86569] : [aElementOf0(_86569, _86292), 337 ^ _75812 : [(338 ^ _75812) ^ [] : [-(aElementOf0(335 ^ [_85997, _85999, _86292, _86569], _85999))], (340 ^ _75812) ^ [] : [-(aElementOf0(336 ^ [_85997, _85999, _86292, _86569], _85997))], (342 ^ _75812) ^ [] : [-(sdtpldt0(335 ^ [_85997, _85999, _86292, _86569], 336 ^ [_85997, _85999, _86292, _86569]) = _86569)]]], (344 ^ _75812) ^ [_87129] : [-(aElementOf0(_87129, _86292)), 345 ^ _75812 : [(346 ^ _75812) ^ [_87259, _87261] : [aElementOf0(_87261, _85999), aElementOf0(_87259, _85997), sdtpldt0(_87261, _87259) = _87129]]]]]]], (391 ^ _75812) ^ [_88977, _88979] : [aSet0(_88979), aSet0(_88977), 398 ^ _75812 : [(423 ^ _75812) ^ [_90056] : [-(_90056 = sdtasasdt0(_88979, _88977)), aSet0(_90056), 439 ^ _75812 : [(440 ^ _75812) ^ [] : [-(aElementOf0(428 ^ [_88977, _88979, _90056], _88979))], (442 ^ _75812) ^ [] : [-(aElementOf0(428 ^ [_88977, _88979, _90056], _88977))], (444 ^ _75812) ^ [] : [aElementOf0(428 ^ [_88977, _88979, _90056], _90056)]], 431 ^ _75812 : [(432 ^ _75812) ^ [] : [-(aElementOf0(428 ^ [_88977, _88979, _90056], _90056))], (434 ^ _75812) ^ [] : [aElementOf0(428 ^ [_88977, _88979, _90056], _88979), aElementOf0(428 ^ [_88977, _88979, _90056], _88977)]]], (399 ^ _75812) ^ [_89253] : [_89253 = sdtasasdt0(_88979, _88977), 402 ^ _75812 : [(403 ^ _75812) ^ [] : [-(aSet0(_89253))], (405 ^ _75812) ^ [_89511] : [aElementOf0(_89511, _89253), 408 ^ _75812 : [(409 ^ _75812) ^ [] : [-(aElementOf0(_89511, _88979))], (411 ^ _75812) ^ [] : [-(aElementOf0(_89511, _88977))]]], (413 ^ _75812) ^ [_89770] : [-(aElementOf0(_89770, _89253)), aElementOf0(_89770, _88979), aElementOf0(_89770, _88977)]]]]], (470 ^ _75812) ^ [_91721] : [-(aIdeal0(_91721)), aSet0(_91721), 476 ^ _75812 : [(477 ^ _75812) ^ [] : [-(aElementOf0(475 ^ [_91721], _91721))], (479 ^ _75812) ^ [] : [481 ^ _75812 : [(482 ^ _75812) ^ [] : [-(aElementOf0(480 ^ [_91721], _91721))], (484 ^ _75812) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_91721], 480 ^ [_91721]), _91721)]], 486 ^ _75812 : [(487 ^ _75812) ^ [] : [-(aElement0(485 ^ [_91721]))], (489 ^ _75812) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_91721], 475 ^ [_91721]), _91721)]]]]], (448 ^ _75812) ^ [_90926] : [aIdeal0(_90926), 451 ^ _75812 : [(452 ^ _75812) ^ [] : [-(aSet0(_90926))], (454 ^ _75812) ^ [_91158] : [aElementOf0(_91158, _90926), 457 ^ _75812 : [(458 ^ _75812) ^ [_91339] : [aElementOf0(_91339, _90926), -(aElementOf0(sdtpldt0(_91158, _91339), _90926))], (464 ^ _75812) ^ [_91531] : [aElement0(_91531), -(aElementOf0(sdtasdt0(_91531, _91158), _90926))]]]]], (535 ^ _75812) ^ [] : [-(aElementOf0(532 ^ [], xI))], (537 ^ _75812) ^ [] : [-(aElementOf0(533 ^ [], xJ))], (539 ^ _75812) ^ [] : [-(sdtpldt0(532 ^ [], 533 ^ []) = xx)], (541 ^ _75812) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (545 ^ _75812) ^ [] : [-(aElementOf0(542 ^ [], xI))], (547 ^ _75812) ^ [] : [-(aElementOf0(543 ^ [], xJ))], (549 ^ _75812) ^ [] : [-(sdtpldt0(542 ^ [], 543 ^ []) = xy)], (551 ^ _75812) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (553 ^ _75812) ^ [] : [-(aElement0(xz))], (555 ^ _75812) ^ [] : [-(aElementOf0(xk, xI))], (557 ^ _75812) ^ [] : [-(aElementOf0(xl, xJ))], (559 ^ _75812) ^ [] : [-(xx = sdtpldt0(xk, xl))], (561 ^ _75812) ^ [] : [-(aElementOf0(xm, xI))], (563 ^ _75812) ^ [] : [-(aElementOf0(xn, xJ))], (565 ^ _75812) ^ [] : [-(xy = sdtpldt0(xm, xn))], (567 ^ _75812) ^ [] : [-(aElementOf0(sdtpldt0(xk, xm), xI))], (569 ^ _75812) ^ [] : [-(aElementOf0(sdtpldt0(xl, xn), xJ))], (493 ^ _75812) ^ [] : [-(aSet0(xI))], (495 ^ _75812) ^ [_92620] : [aElementOf0(_92620, xI), 498 ^ _75812 : [(499 ^ _75812) ^ [_92795] : [aElementOf0(_92795, xI), -(aElementOf0(sdtpldt0(_92620, _92795), xI))], (505 ^ _75812) ^ [_92979] : [aElement0(_92979), -(aElementOf0(sdtasdt0(_92979, _92620), xI))]]], (511 ^ _75812) ^ [] : [-(aIdeal0(xI))], (513 ^ _75812) ^ [] : [-(aSet0(xJ))], (531 ^ _75812) ^ [] : [-(aIdeal0(xJ))], (515 ^ _75812) ^ [_93294] : [aElementOf0(_93294, xJ), 518 ^ _75812 : [(519 ^ _75812) ^ [_93469] : [aElementOf0(_93469, xJ), -(aElementOf0(sdtpldt0(_93294, _93469), xJ))], (525 ^ _75812) ^ [_93653] : [aElement0(_93653), -(aElementOf0(sdtasdt0(_93653, _93294), xJ))]]]], input).
% 0.33/1.39  ncf('1',plain,[aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ)],start(571 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(aElementOf0(sdtasdt0(xz, xk), xI)), 464 : aElement0(xz), 464 : aElementOf0(xk, xI), 454 : aIdeal0(xI)],extension(448 ^ 1,bind([[_90926, _91158, _91531], [xI, xk, xz]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(aElement0(xz))],extension(553 ^ 6)).
% 0.33/1.39  ncf('1.1.2',plain,[-(aElementOf0(xk, xI))],extension(555 ^ 4)).
% 0.33/1.39  ncf('1.1.3',plain,[-(aIdeal0(xI))],extension(511 ^ 2)).
% 0.33/1.39  ncf('1.2',plain,[-(aElementOf0(sdtasdt0(xz, xl), xJ)), 464 : aElement0(xz), 464 : aElementOf0(xl, xJ), 454 : aIdeal0(xJ)],extension(448 ^ 1,bind([[_90926, _91158, _91531], [xJ, xl, xz]]))).
% 0.33/1.39  ncf('1.2.1',plain,[-(aElement0(xz))],extension(553 ^ 6)).
% 0.33/1.39  ncf('1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(557 ^ 4)).
% 0.33/1.39  ncf('1.2.3',plain,[-(aIdeal0(xJ))],extension(531 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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