TSTP Solution File: RNG088+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG088+2 : 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 0.32s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n014.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 20:17:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.38
% 0.32/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 ncf(matrix, plain, [(567 ^ _75090) ^ [] : [aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)], (64 ^ _75090) ^ [_77179, _77181] : [_77181 = _77179, -(smndt0(_77181) = smndt0(_77179))], (70 ^ _75090) ^ [_77425, _77427, _77429, _77431] : [-(sdtasasdt0(_77431, _77427) = sdtasasdt0(_77429, _77425)), _77431 = _77429, _77427 = _77425], (80 ^ _75090) ^ [_77784, _77786, _77788, _77790] : [-(sdtasdt0(_77790, _77786) = sdtasdt0(_77788, _77784)), _77790 = _77788, _77786 = _77784], (90 ^ _75090) ^ [_78143, _78145, _78147, _78149] : [-(sdtpldt1(_78149, _78145) = sdtpldt1(_78147, _78143)), _78149 = _78147, _78145 = _78143], (100 ^ _75090) ^ [_78482, _78484, _78486, _78488] : [-(sdtpldt0(_78488, _78484) = sdtpldt0(_78486, _78482)), _78488 = _78486, _78484 = _78482], (2 ^ _75090) ^ [_75234] : [-(_75234 = _75234)], (4 ^ _75090) ^ [_75341, _75343] : [_75343 = _75341, -(_75341 = _75343)], (10 ^ _75090) ^ [_75545, _75547, _75549] : [-(_75549 = _75545), _75549 = _75547, _75547 = _75545], (20 ^ _75090) ^ [_75858, _75860] : [-(aSet0(_75858)), _75860 = _75858, aSet0(_75860)], (30 ^ _75090) ^ [_76153, _76155] : [-(aIdeal0(_76153)), _76155 = _76153, aIdeal0(_76155)], (40 ^ _75090) ^ [_76448, _76450] : [-(aElement0(_76448)), _76450 = _76448, aElement0(_76450)], (50 ^ _75090) ^ [_76751, _76753, _76755, _76757] : [-(aElementOf0(_76755, _76751)), aElementOf0(_76757, _76753), _76757 = _76755, _76753 = _76751], (110 ^ _75090) ^ [_78817] : [aElement0(_78817), true___, -(true___)], (120 ^ _75090) ^ [] : [-(aElement0(sz00))], (122 ^ _75090) ^ [] : [-(aElement0(sz10))], (124 ^ _75090) ^ [_79178] : [aElement0(_79178), -(aElement0(smndt0(_79178)))], (130 ^ _75090) ^ [_79382, _79384] : [-(aElement0(sdtpldt0(_79384, _79382))), aElement0(_79384), aElement0(_79382)], (140 ^ _75090) ^ [_79681, _79683] : [-(aElement0(sdtasdt0(_79683, _79681))), aElement0(_79683), aElement0(_79681)], (150 ^ _75090) ^ [_79980, _79982] : [-(sdtpldt0(_79982, _79980) = sdtpldt0(_79980, _79982)), aElement0(_79982), aElement0(_79980)], (160 ^ _75090) ^ [_80301, _80303, _80305] : [-(sdtpldt0(sdtpldt0(_80305, _80303), _80301) = sdtpldt0(_80305, sdtpldt0(_80303, _80301))), aElement0(_80305), aElement0(_80303), aElement0(_80301)], (174 ^ _75090) ^ [_80707] : [aElement0(_80707), 177 ^ _75090 : [(178 ^ _75090) ^ [] : [-(sdtpldt0(_80707, sz00) = _80707)], (180 ^ _75090) ^ [] : [-(_80707 = sdtpldt0(sz00, _80707))]]], (182 ^ _75090) ^ [_80980] : [aElement0(_80980), 185 ^ _75090 : [(186 ^ _75090) ^ [] : [-(sdtpldt0(_80980, smndt0(_80980)) = sz00)], (188 ^ _75090) ^ [] : [-(sz00 = sdtpldt0(smndt0(_80980), _80980))]]], (190 ^ _75090) ^ [_81275, _81277] : [-(sdtasdt0(_81277, _81275) = sdtasdt0(_81275, _81277)), aElement0(_81277), aElement0(_81275)], (200 ^ _75090) ^ [_81596, _81598, _81600] : [-(sdtasdt0(sdtasdt0(_81600, _81598), _81596) = sdtasdt0(_81600, sdtasdt0(_81598, _81596))), aElement0(_81600), aElement0(_81598), aElement0(_81596)], (214 ^ _75090) ^ [_82002] : [aElement0(_82002), 217 ^ _75090 : [(218 ^ _75090) ^ [] : [-(sdtasdt0(_82002, sz10) = _82002)], (220 ^ _75090) ^ [] : [-(_82002 = sdtasdt0(sz10, _82002))]]], (222 ^ _75090) ^ [_82303, _82305, _82307] : [233 ^ _75090 : [(234 ^ _75090) ^ [] : [-(sdtasdt0(_82307, sdtpldt0(_82305, _82303)) = sdtpldt0(sdtasdt0(_82307, _82305), sdtasdt0(_82307, _82303)))], (236 ^ _75090) ^ [] : [-(sdtasdt0(sdtpldt0(_82305, _82303), _82307) = sdtpldt0(sdtasdt0(_82305, _82307), sdtasdt0(_82303, _82307)))]], aElement0(_82307), aElement0(_82305), aElement0(_82303)], (238 ^ _75090) ^ [_82822] : [aElement0(_82822), 241 ^ _75090 : [(242 ^ _75090) ^ [] : [-(sdtasdt0(smndt0(sz10), _82822) = smndt0(_82822))], (244 ^ _75090) ^ [] : [-(smndt0(_82822) = sdtasdt0(_82822, smndt0(sz10)))]]], (246 ^ _75090) ^ [_83103] : [aElement0(_83103), 249 ^ _75090 : [(250 ^ _75090) ^ [] : [-(sdtasdt0(_83103, sz00) = sz00)], (252 ^ _75090) ^ [] : [-(sz00 = sdtasdt0(sz00, _83103))]]], (254 ^ _75090) ^ [_83390, _83392] : [aElement0(_83392), aElement0(_83390), sdtasdt0(_83392, _83390) = sz00, -(_83392 = sz00), -(_83390 = sz00)], (272 ^ _75090) ^ [] : [sz10 = sz00], (274 ^ _75090) ^ [_83910] : [aSet0(_83910), true___, -(true___)], (284 ^ _75090) ^ [_84165] : [aSet0(_84165), 287 ^ _75090 : [(288 ^ _75090) ^ [_84295] : [aElementOf0(_84295, _84165), -(aElement0(_84295))]]], (294 ^ _75090) ^ [_84510, _84512] : [aSet0(_84512), aSet0(_84510), -(_84512 = _84510), 306 ^ _75090 : [(307 ^ _75090) ^ [] : [-(aElementOf0(305 ^ [_84510, _84512], _84512))], (309 ^ _75090) ^ [] : [aElementOf0(305 ^ [_84510, _84512], _84510)]], 311 ^ _75090 : [(312 ^ _75090) ^ [] : [-(aElementOf0(310 ^ [_84510, _84512], _84510))], (314 ^ _75090) ^ [] : [aElementOf0(310 ^ [_84510, _84512], _84512)]]], (318 ^ _75090) ^ [_85275, _85277] : [aSet0(_85277), aSet0(_85275), 325 ^ _75090 : [(358 ^ _75090) ^ [_86905] : [-(_86905 = sdtpldt1(_85277, _85275)), aSet0(_86905), 380 ^ _75090 : [(381 ^ _75090) ^ [] : [-(aElementOf0(378 ^ [_85275, _85277, _86905], _85277))], (383 ^ _75090) ^ [] : [-(aElementOf0(379 ^ [_85275, _85277, _86905], _85275))], (385 ^ _75090) ^ [] : [-(sdtpldt0(378 ^ [_85275, _85277, _86905], 379 ^ [_85275, _85277, _86905]) = 363 ^ [_85275, _85277, _86905])], (387 ^ _75090) ^ [] : [aElementOf0(363 ^ [_85275, _85277, _86905], _86905)]], 366 ^ _75090 : [(367 ^ _75090) ^ [] : [-(aElementOf0(363 ^ [_85275, _85277, _86905], _86905))], (369 ^ _75090) ^ [_87334, _87336] : [aElementOf0(_87336, _85277), aElementOf0(_87334, _85275), sdtpldt0(_87336, _87334) = 363 ^ [_85275, _85277, _86905]]]], (326 ^ _75090) ^ [_85570] : [_85570 = sdtpldt1(_85277, _85275), 329 ^ _75090 : [(330 ^ _75090) ^ [] : [-(aSet0(_85570))], (332 ^ _75090) ^ [_85847] : [aElementOf0(_85847, _85570), 337 ^ _75090 : [(338 ^ _75090) ^ [] : [-(aElementOf0(335 ^ [_85275, _85277, _85570, _85847], _85277))], (340 ^ _75090) ^ [] : [-(aElementOf0(336 ^ [_85275, _85277, _85570, _85847], _85275))], (342 ^ _75090) ^ [] : [-(sdtpldt0(335 ^ [_85275, _85277, _85570, _85847], 336 ^ [_85275, _85277, _85570, _85847]) = _85847)]]], (344 ^ _75090) ^ [_86407] : [-(aElementOf0(_86407, _85570)), 345 ^ _75090 : [(346 ^ _75090) ^ [_86537, _86539] : [aElementOf0(_86539, _85277), aElementOf0(_86537, _85275), sdtpldt0(_86539, _86537) = _86407]]]]]]], (391 ^ _75090) ^ [_88255, _88257] : [aSet0(_88257), aSet0(_88255), 398 ^ _75090 : [(423 ^ _75090) ^ [_89334] : [-(_89334 = sdtasasdt0(_88257, _88255)), aSet0(_89334), 439 ^ _75090 : [(440 ^ _75090) ^ [] : [-(aElementOf0(428 ^ [_88255, _88257, _89334], _88257))], (442 ^ _75090) ^ [] : [-(aElementOf0(428 ^ [_88255, _88257, _89334], _88255))], (444 ^ _75090) ^ [] : [aElementOf0(428 ^ [_88255, _88257, _89334], _89334)]], 431 ^ _75090 : [(432 ^ _75090) ^ [] : [-(aElementOf0(428 ^ [_88255, _88257, _89334], _89334))], (434 ^ _75090) ^ [] : [aElementOf0(428 ^ [_88255, _88257, _89334], _88257), aElementOf0(428 ^ [_88255, _88257, _89334], _88255)]]], (399 ^ _75090) ^ [_88531] : [_88531 = sdtasasdt0(_88257, _88255), 402 ^ _75090 : [(403 ^ _75090) ^ [] : [-(aSet0(_88531))], (405 ^ _75090) ^ [_88789] : [aElementOf0(_88789, _88531), 408 ^ _75090 : [(409 ^ _75090) ^ [] : [-(aElementOf0(_88789, _88257))], (411 ^ _75090) ^ [] : [-(aElementOf0(_88789, _88255))]]], (413 ^ _75090) ^ [_89048] : [-(aElementOf0(_89048, _88531)), aElementOf0(_89048, _88257), aElementOf0(_89048, _88255)]]]]], (470 ^ _75090) ^ [_90999] : [-(aIdeal0(_90999)), aSet0(_90999), 476 ^ _75090 : [(477 ^ _75090) ^ [] : [-(aElementOf0(475 ^ [_90999], _90999))], (479 ^ _75090) ^ [] : [481 ^ _75090 : [(482 ^ _75090) ^ [] : [-(aElementOf0(480 ^ [_90999], _90999))], (484 ^ _75090) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_90999], 480 ^ [_90999]), _90999)]], 486 ^ _75090 : [(487 ^ _75090) ^ [] : [-(aElement0(485 ^ [_90999]))], (489 ^ _75090) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_90999], 475 ^ [_90999]), _90999)]]]]], (448 ^ _75090) ^ [_90204] : [aIdeal0(_90204), 451 ^ _75090 : [(452 ^ _75090) ^ [] : [-(aSet0(_90204))], (454 ^ _75090) ^ [_90436] : [aElementOf0(_90436, _90204), 457 ^ _75090 : [(458 ^ _75090) ^ [_90617] : [aElementOf0(_90617, _90204), -(aElementOf0(sdtpldt0(_90436, _90617), _90204))], (464 ^ _75090) ^ [_90809] : [aElement0(_90809), -(aElementOf0(sdtasdt0(_90809, _90436), _90204))]]]]], (535 ^ _75090) ^ [] : [-(aElementOf0(532 ^ [], xI))], (537 ^ _75090) ^ [] : [-(aElementOf0(533 ^ [], xJ))], (539 ^ _75090) ^ [] : [-(sdtpldt0(532 ^ [], 533 ^ []) = xx)], (541 ^ _75090) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (545 ^ _75090) ^ [] : [-(aElementOf0(542 ^ [], xI))], (547 ^ _75090) ^ [] : [-(aElementOf0(543 ^ [], xJ))], (549 ^ _75090) ^ [] : [-(sdtpldt0(542 ^ [], 543 ^ []) = xy)], (551 ^ _75090) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (553 ^ _75090) ^ [] : [-(aElement0(xz))], (555 ^ _75090) ^ [] : [-(aElementOf0(xk, xI))], (557 ^ _75090) ^ [] : [-(aElementOf0(xl, xJ))], (559 ^ _75090) ^ [] : [-(xx = sdtpldt0(xk, xl))], (561 ^ _75090) ^ [] : [-(aElementOf0(xm, xI))], (563 ^ _75090) ^ [] : [-(aElementOf0(xn, xJ))], (565 ^ _75090) ^ [] : [-(xy = sdtpldt0(xm, xn))], (493 ^ _75090) ^ [] : [-(aSet0(xI))], (495 ^ _75090) ^ [_91898] : [aElementOf0(_91898, xI), 498 ^ _75090 : [(499 ^ _75090) ^ [_92073] : [aElementOf0(_92073, xI), -(aElementOf0(sdtpldt0(_91898, _92073), xI))], (505 ^ _75090) ^ [_92257] : [aElement0(_92257), -(aElementOf0(sdtasdt0(_92257, _91898), xI))]]], (511 ^ _75090) ^ [] : [-(aIdeal0(xI))], (513 ^ _75090) ^ [] : [-(aSet0(xJ))], (531 ^ _75090) ^ [] : [-(aIdeal0(xJ))], (515 ^ _75090) ^ [_92572] : [aElementOf0(_92572, xJ), 518 ^ _75090 : [(519 ^ _75090) ^ [_92747] : [aElementOf0(_92747, xJ), -(aElementOf0(sdtpldt0(_92572, _92747), xJ))], (525 ^ _75090) ^ [_92931] : [aElement0(_92931), -(aElementOf0(sdtasdt0(_92931, _92572), xJ))]]]], input).
% 0.32/1.38 ncf('1',plain,[aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)],start(567 ^ 0)).
% 0.32/1.38 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI)), 458 : aElementOf0(xm, xI), 458 : aElementOf0(xk, xI), 454 : aIdeal0(xI)],extension(448 ^ 1,bind([[_90204, _90436, _90617], [xI, xk, xm]]))).
% 0.32/1.38 ncf('1.1.1',plain,[-(aElementOf0(xm, xI))],extension(561 ^ 6)).
% 0.32/1.38 ncf('1.1.2',plain,[-(aElementOf0(xk, xI))],extension(555 ^ 4)).
% 0.32/1.38 ncf('1.1.3',plain,[-(aIdeal0(xI))],extension(511 ^ 2)).
% 0.32/1.38 ncf('1.2',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ)), 458 : aElementOf0(xn, xJ), 458 : aElementOf0(xl, xJ), 454 : aIdeal0(xJ)],extension(448 ^ 1,bind([[_90204, _90436, _90617], [xJ, xl, xn]]))).
% 0.32/1.38 ncf('1.2.1',plain,[-(aElementOf0(xn, xJ))],extension(563 ^ 6)).
% 0.32/1.38 ncf('1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(557 ^ 4)).
% 0.32/1.38 ncf('1.2.3',plain,[-(aIdeal0(xJ))],extension(531 ^ 2)).
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------