TSTP Solution File: RNG086+2 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 101.22s 98.64s
% Output   : Proof 101.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG086+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n006.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 20:18:51 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 101.22/98.64  
% 101.22/98.64  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.22/98.64  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.22/98.64  %-----------------------------------------------------
% 101.22/98.64  ncf(matrix, plain, [(555 ^ _72279) ^ [_91240, _91242] : [aElementOf0(_91242, xI), aElementOf0(_91240, xJ), xx = sdtpldt0(_91242, _91240)], (64 ^ _72279) ^ [_74368, _74370] : [_74370 = _74368, -(smndt0(_74370) = smndt0(_74368))], (70 ^ _72279) ^ [_74614, _74616, _74618, _74620] : [-(sdtasasdt0(_74620, _74616) = sdtasasdt0(_74618, _74614)), _74620 = _74618, _74616 = _74614], (80 ^ _72279) ^ [_74973, _74975, _74977, _74979] : [-(sdtasdt0(_74979, _74975) = sdtasdt0(_74977, _74973)), _74979 = _74977, _74975 = _74973], (90 ^ _72279) ^ [_75332, _75334, _75336, _75338] : [-(sdtpldt1(_75338, _75334) = sdtpldt1(_75336, _75332)), _75338 = _75336, _75334 = _75332], (100 ^ _72279) ^ [_75671, _75673, _75675, _75677] : [-(sdtpldt0(_75677, _75673) = sdtpldt0(_75675, _75671)), _75677 = _75675, _75673 = _75671], (2 ^ _72279) ^ [_72423] : [-(_72423 = _72423)], (4 ^ _72279) ^ [_72530, _72532] : [_72532 = _72530, -(_72530 = _72532)], (10 ^ _72279) ^ [_72734, _72736, _72738] : [-(_72738 = _72734), _72738 = _72736, _72736 = _72734], (20 ^ _72279) ^ [_73047, _73049] : [-(aSet0(_73047)), _73049 = _73047, aSet0(_73049)], (30 ^ _72279) ^ [_73342, _73344] : [-(aIdeal0(_73342)), _73344 = _73342, aIdeal0(_73344)], (40 ^ _72279) ^ [_73637, _73639] : [-(aElement0(_73637)), _73639 = _73637, aElement0(_73639)], (50 ^ _72279) ^ [_73940, _73942, _73944, _73946] : [-(aElementOf0(_73944, _73940)), aElementOf0(_73946, _73942), _73946 = _73944, _73942 = _73940], (110 ^ _72279) ^ [_76006] : [aElement0(_76006), true___, -(true___)], (120 ^ _72279) ^ [] : [-(aElement0(sz00))], (122 ^ _72279) ^ [] : [-(aElement0(sz10))], (124 ^ _72279) ^ [_76367] : [aElement0(_76367), -(aElement0(smndt0(_76367)))], (130 ^ _72279) ^ [_76571, _76573] : [-(aElement0(sdtpldt0(_76573, _76571))), aElement0(_76573), aElement0(_76571)], (140 ^ _72279) ^ [_76870, _76872] : [-(aElement0(sdtasdt0(_76872, _76870))), aElement0(_76872), aElement0(_76870)], (150 ^ _72279) ^ [_77169, _77171] : [-(sdtpldt0(_77171, _77169) = sdtpldt0(_77169, _77171)), aElement0(_77171), aElement0(_77169)], (160 ^ _72279) ^ [_77490, _77492, _77494] : [-(sdtpldt0(sdtpldt0(_77494, _77492), _77490) = sdtpldt0(_77494, sdtpldt0(_77492, _77490))), aElement0(_77494), aElement0(_77492), aElement0(_77490)], (174 ^ _72279) ^ [_77896] : [aElement0(_77896), 177 ^ _72279 : [(178 ^ _72279) ^ [] : [-(sdtpldt0(_77896, sz00) = _77896)], (180 ^ _72279) ^ [] : [-(_77896 = sdtpldt0(sz00, _77896))]]], (182 ^ _72279) ^ [_78169] : [aElement0(_78169), 185 ^ _72279 : [(186 ^ _72279) ^ [] : [-(sdtpldt0(_78169, smndt0(_78169)) = sz00)], (188 ^ _72279) ^ [] : [-(sz00 = sdtpldt0(smndt0(_78169), _78169))]]], (190 ^ _72279) ^ [_78464, _78466] : [-(sdtasdt0(_78466, _78464) = sdtasdt0(_78464, _78466)), aElement0(_78466), aElement0(_78464)], (200 ^ _72279) ^ [_78785, _78787, _78789] : [-(sdtasdt0(sdtasdt0(_78789, _78787), _78785) = sdtasdt0(_78789, sdtasdt0(_78787, _78785))), aElement0(_78789), aElement0(_78787), aElement0(_78785)], (214 ^ _72279) ^ [_79191] : [aElement0(_79191), 217 ^ _72279 : [(218 ^ _72279) ^ [] : [-(sdtasdt0(_79191, sz10) = _79191)], (220 ^ _72279) ^ [] : [-(_79191 = sdtasdt0(sz10, _79191))]]], (222 ^ _72279) ^ [_79492, _79494, _79496] : [233 ^ _72279 : [(234 ^ _72279) ^ [] : [-(sdtasdt0(_79496, sdtpldt0(_79494, _79492)) = sdtpldt0(sdtasdt0(_79496, _79494), sdtasdt0(_79496, _79492)))], (236 ^ _72279) ^ [] : [-(sdtasdt0(sdtpldt0(_79494, _79492), _79496) = sdtpldt0(sdtasdt0(_79494, _79496), sdtasdt0(_79492, _79496)))]], aElement0(_79496), aElement0(_79494), aElement0(_79492)], (238 ^ _72279) ^ [_80011] : [aElement0(_80011), 241 ^ _72279 : [(242 ^ _72279) ^ [] : [-(sdtasdt0(smndt0(sz10), _80011) = smndt0(_80011))], (244 ^ _72279) ^ [] : [-(smndt0(_80011) = sdtasdt0(_80011, smndt0(sz10)))]]], (246 ^ _72279) ^ [_80292] : [aElement0(_80292), 249 ^ _72279 : [(250 ^ _72279) ^ [] : [-(sdtasdt0(_80292, sz00) = sz00)], (252 ^ _72279) ^ [] : [-(sz00 = sdtasdt0(sz00, _80292))]]], (254 ^ _72279) ^ [_80579, _80581] : [aElement0(_80581), aElement0(_80579), sdtasdt0(_80581, _80579) = sz00, -(_80581 = sz00), -(_80579 = sz00)], (272 ^ _72279) ^ [] : [sz10 = sz00], (274 ^ _72279) ^ [_81099] : [aSet0(_81099), true___, -(true___)], (284 ^ _72279) ^ [_81354] : [aSet0(_81354), 287 ^ _72279 : [(288 ^ _72279) ^ [_81484] : [aElementOf0(_81484, _81354), -(aElement0(_81484))]]], (294 ^ _72279) ^ [_81699, _81701] : [aSet0(_81701), aSet0(_81699), -(_81701 = _81699), 306 ^ _72279 : [(307 ^ _72279) ^ [] : [-(aElementOf0(305 ^ [_81699, _81701], _81701))], (309 ^ _72279) ^ [] : [aElementOf0(305 ^ [_81699, _81701], _81699)]], 311 ^ _72279 : [(312 ^ _72279) ^ [] : [-(aElementOf0(310 ^ [_81699, _81701], _81699))], (314 ^ _72279) ^ [] : [aElementOf0(310 ^ [_81699, _81701], _81701)]]], (318 ^ _72279) ^ [_82464, _82466] : [aSet0(_82466), aSet0(_82464), 325 ^ _72279 : [(358 ^ _72279) ^ [_84094] : [-(_84094 = sdtpldt1(_82466, _82464)), aSet0(_84094), 380 ^ _72279 : [(381 ^ _72279) ^ [] : [-(aElementOf0(378 ^ [_82464, _82466, _84094], _82466))], (383 ^ _72279) ^ [] : [-(aElementOf0(379 ^ [_82464, _82466, _84094], _82464))], (385 ^ _72279) ^ [] : [-(sdtpldt0(378 ^ [_82464, _82466, _84094], 379 ^ [_82464, _82466, _84094]) = 363 ^ [_82464, _82466, _84094])], (387 ^ _72279) ^ [] : [aElementOf0(363 ^ [_82464, _82466, _84094], _84094)]], 366 ^ _72279 : [(367 ^ _72279) ^ [] : [-(aElementOf0(363 ^ [_82464, _82466, _84094], _84094))], (369 ^ _72279) ^ [_84523, _84525] : [aElementOf0(_84525, _82466), aElementOf0(_84523, _82464), sdtpldt0(_84525, _84523) = 363 ^ [_82464, _82466, _84094]]]], (326 ^ _72279) ^ [_82759] : [_82759 = sdtpldt1(_82466, _82464), 329 ^ _72279 : [(330 ^ _72279) ^ [] : [-(aSet0(_82759))], (332 ^ _72279) ^ [_83036] : [aElementOf0(_83036, _82759), 337 ^ _72279 : [(338 ^ _72279) ^ [] : [-(aElementOf0(335 ^ [_82464, _82466, _82759, _83036], _82466))], (340 ^ _72279) ^ [] : [-(aElementOf0(336 ^ [_82464, _82466, _82759, _83036], _82464))], (342 ^ _72279) ^ [] : [-(sdtpldt0(335 ^ [_82464, _82466, _82759, _83036], 336 ^ [_82464, _82466, _82759, _83036]) = _83036)]]], (344 ^ _72279) ^ [_83596] : [-(aElementOf0(_83596, _82759)), 345 ^ _72279 : [(346 ^ _72279) ^ [_83726, _83728] : [aElementOf0(_83728, _82466), aElementOf0(_83726, _82464), sdtpldt0(_83728, _83726) = _83596]]]]]]], (391 ^ _72279) ^ [_85444, _85446] : [aSet0(_85446), aSet0(_85444), 398 ^ _72279 : [(423 ^ _72279) ^ [_86523] : [-(_86523 = sdtasasdt0(_85446, _85444)), aSet0(_86523), 439 ^ _72279 : [(440 ^ _72279) ^ [] : [-(aElementOf0(428 ^ [_85444, _85446, _86523], _85446))], (442 ^ _72279) ^ [] : [-(aElementOf0(428 ^ [_85444, _85446, _86523], _85444))], (444 ^ _72279) ^ [] : [aElementOf0(428 ^ [_85444, _85446, _86523], _86523)]], 431 ^ _72279 : [(432 ^ _72279) ^ [] : [-(aElementOf0(428 ^ [_85444, _85446, _86523], _86523))], (434 ^ _72279) ^ [] : [aElementOf0(428 ^ [_85444, _85446, _86523], _85446), aElementOf0(428 ^ [_85444, _85446, _86523], _85444)]]], (399 ^ _72279) ^ [_85720] : [_85720 = sdtasasdt0(_85446, _85444), 402 ^ _72279 : [(403 ^ _72279) ^ [] : [-(aSet0(_85720))], (405 ^ _72279) ^ [_85978] : [aElementOf0(_85978, _85720), 408 ^ _72279 : [(409 ^ _72279) ^ [] : [-(aElementOf0(_85978, _85446))], (411 ^ _72279) ^ [] : [-(aElementOf0(_85978, _85444))]]], (413 ^ _72279) ^ [_86237] : [-(aElementOf0(_86237, _85720)), aElementOf0(_86237, _85446), aElementOf0(_86237, _85444)]]]]], (470 ^ _72279) ^ [_88188] : [-(aIdeal0(_88188)), aSet0(_88188), 476 ^ _72279 : [(477 ^ _72279) ^ [] : [-(aElementOf0(475 ^ [_88188], _88188))], (479 ^ _72279) ^ [] : [481 ^ _72279 : [(482 ^ _72279) ^ [] : [-(aElementOf0(480 ^ [_88188], _88188))], (484 ^ _72279) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_88188], 480 ^ [_88188]), _88188)]], 486 ^ _72279 : [(487 ^ _72279) ^ [] : [-(aElement0(485 ^ [_88188]))], (489 ^ _72279) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_88188], 475 ^ [_88188]), _88188)]]]]], (448 ^ _72279) ^ [_87393] : [aIdeal0(_87393), 451 ^ _72279 : [(452 ^ _72279) ^ [] : [-(aSet0(_87393))], (454 ^ _72279) ^ [_87625] : [aElementOf0(_87625, _87393), 457 ^ _72279 : [(458 ^ _72279) ^ [_87806] : [aElementOf0(_87806, _87393), -(aElementOf0(sdtpldt0(_87625, _87806), _87393))], (464 ^ _72279) ^ [_87998] : [aElement0(_87998), -(aElementOf0(sdtasdt0(_87998, _87625), _87393))]]]]], (535 ^ _72279) ^ [] : [-(aElementOf0(532 ^ [], xI))], (537 ^ _72279) ^ [] : [-(aElementOf0(533 ^ [], xJ))], (539 ^ _72279) ^ [] : [-(sdtpldt0(532 ^ [], 533 ^ []) = xx)], (541 ^ _72279) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (545 ^ _72279) ^ [] : [-(aElementOf0(542 ^ [], xI))], (547 ^ _72279) ^ [] : [-(aElementOf0(543 ^ [], xJ))], (549 ^ _72279) ^ [] : [-(sdtpldt0(542 ^ [], 543 ^ []) = xy)], (551 ^ _72279) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (553 ^ _72279) ^ [] : [-(aElement0(xz))], (493 ^ _72279) ^ [] : [-(aSet0(xI))], (495 ^ _72279) ^ [_89087] : [aElementOf0(_89087, xI), 498 ^ _72279 : [(499 ^ _72279) ^ [_89262] : [aElementOf0(_89262, xI), -(aElementOf0(sdtpldt0(_89087, _89262), xI))], (505 ^ _72279) ^ [_89446] : [aElement0(_89446), -(aElementOf0(sdtasdt0(_89446, _89087), xI))]]], (511 ^ _72279) ^ [] : [-(aIdeal0(xI))], (513 ^ _72279) ^ [] : [-(aSet0(xJ))], (531 ^ _72279) ^ [] : [-(aIdeal0(xJ))], (515 ^ _72279) ^ [_89761] : [aElementOf0(_89761, xJ), 518 ^ _72279 : [(519 ^ _72279) ^ [_89936] : [aElementOf0(_89936, xJ), -(aElementOf0(sdtpldt0(_89761, _89936), xJ))], (525 ^ _72279) ^ [_90120] : [aElement0(_90120), -(aElementOf0(sdtasdt0(_90120, _89761), xJ))]]]], input).
% 101.22/98.64  ncf('1',plain,[aElementOf0(532 ^ [], xI), aElementOf0(533 ^ [], xJ), xx = sdtpldt0(532 ^ [], 533 ^ [])],start(555 ^ 0,bind([[_91240, _91242], [533 ^ [], 532 ^ []]]))).
% 101.22/98.64  ncf('1.1',plain,[-(aElementOf0(532 ^ [], xI))],extension(535 ^ 1)).
% 101.22/98.64  ncf('1.2',plain,[-(aElementOf0(533 ^ [], xJ))],extension(537 ^ 1)).
% 101.22/98.64  ncf('1.3',plain,[-(xx = sdtpldt0(532 ^ [], 533 ^ [])), sdtpldt0(532 ^ [], 533 ^ []) = xx],extension(4 ^ 1,bind([[_72530, _72532], [xx, sdtpldt0(532 ^ [], 533 ^ [])]]))).
% 101.22/98.64  ncf('1.3.1',plain,[-(sdtpldt0(532 ^ [], 533 ^ []) = xx)],extension(539 ^ 2)).
% 101.22/98.64  %-----------------------------------------------------
% 101.22/98.64  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------