TSTP Solution File: RNG089+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG089+1 : 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 0.31s 1.37s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG089+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % 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 20:25:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.31/1.37
% 0.31/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 ncf(matrix, plain, [(519 ^ _67544) ^ [] : [aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ)], (64 ^ _67544) ^ [_69633, _69635] : [_69635 = _69633, -(smndt0(_69635) = smndt0(_69633))], (70 ^ _67544) ^ [_69879, _69881, _69883, _69885] : [-(sdtasasdt0(_69885, _69881) = sdtasasdt0(_69883, _69879)), _69885 = _69883, _69881 = _69879], (80 ^ _67544) ^ [_70238, _70240, _70242, _70244] : [-(sdtpldt1(_70244, _70240) = sdtpldt1(_70242, _70238)), _70244 = _70242, _70240 = _70238], (90 ^ _67544) ^ [_70597, _70599, _70601, _70603] : [-(sdtpldt0(_70603, _70599) = sdtpldt0(_70601, _70597)), _70603 = _70601, _70599 = _70597], (100 ^ _67544) ^ [_70936, _70938, _70940, _70942] : [-(sdtasdt0(_70942, _70938) = sdtasdt0(_70940, _70936)), _70942 = _70940, _70938 = _70936], (2 ^ _67544) ^ [_67688] : [-(_67688 = _67688)], (4 ^ _67544) ^ [_67795, _67797] : [_67797 = _67795, -(_67795 = _67797)], (10 ^ _67544) ^ [_67999, _68001, _68003] : [-(_68003 = _67999), _68003 = _68001, _68001 = _67999], (20 ^ _67544) ^ [_68312, _68314] : [-(aSet0(_68312)), _68314 = _68312, aSet0(_68314)], (30 ^ _67544) ^ [_68607, _68609] : [-(aIdeal0(_68607)), _68609 = _68607, aIdeal0(_68609)], (40 ^ _67544) ^ [_68902, _68904] : [-(aElement0(_68902)), _68904 = _68902, aElement0(_68904)], (50 ^ _67544) ^ [_69205, _69207, _69209, _69211] : [-(aElementOf0(_69209, _69205)), aElementOf0(_69211, _69207), _69211 = _69209, _69207 = _69205], (110 ^ _67544) ^ [_71271] : [aElement0(_71271), true___, -(true___)], (120 ^ _67544) ^ [] : [-(aElement0(sz00))], (122 ^ _67544) ^ [] : [-(aElement0(sz10))], (124 ^ _67544) ^ [_71632] : [aElement0(_71632), -(aElement0(smndt0(_71632)))], (130 ^ _67544) ^ [_71836, _71838] : [-(aElement0(sdtpldt0(_71838, _71836))), aElement0(_71838), aElement0(_71836)], (140 ^ _67544) ^ [_72135, _72137] : [-(aElement0(sdtasdt0(_72137, _72135))), aElement0(_72137), aElement0(_72135)], (150 ^ _67544) ^ [_72434, _72436] : [-(sdtpldt0(_72436, _72434) = sdtpldt0(_72434, _72436)), aElement0(_72436), aElement0(_72434)], (160 ^ _67544) ^ [_72755, _72757, _72759] : [-(sdtpldt0(sdtpldt0(_72759, _72757), _72755) = sdtpldt0(_72759, sdtpldt0(_72757, _72755))), aElement0(_72759), aElement0(_72757), aElement0(_72755)], (174 ^ _67544) ^ [_73161] : [aElement0(_73161), 177 ^ _67544 : [(178 ^ _67544) ^ [] : [-(sdtpldt0(_73161, sz00) = _73161)], (180 ^ _67544) ^ [] : [-(_73161 = sdtpldt0(sz00, _73161))]]], (182 ^ _67544) ^ [_73434] : [aElement0(_73434), 185 ^ _67544 : [(186 ^ _67544) ^ [] : [-(sdtpldt0(_73434, smndt0(_73434)) = sz00)], (188 ^ _67544) ^ [] : [-(sz00 = sdtpldt0(smndt0(_73434), _73434))]]], (190 ^ _67544) ^ [_73729, _73731] : [-(sdtasdt0(_73731, _73729) = sdtasdt0(_73729, _73731)), aElement0(_73731), aElement0(_73729)], (200 ^ _67544) ^ [_74050, _74052, _74054] : [-(sdtasdt0(sdtasdt0(_74054, _74052), _74050) = sdtasdt0(_74054, sdtasdt0(_74052, _74050))), aElement0(_74054), aElement0(_74052), aElement0(_74050)], (214 ^ _67544) ^ [_74456] : [aElement0(_74456), 217 ^ _67544 : [(218 ^ _67544) ^ [] : [-(sdtasdt0(_74456, sz10) = _74456)], (220 ^ _67544) ^ [] : [-(_74456 = sdtasdt0(sz10, _74456))]]], (222 ^ _67544) ^ [_74757, _74759, _74761] : [233 ^ _67544 : [(234 ^ _67544) ^ [] : [-(sdtasdt0(_74761, sdtpldt0(_74759, _74757)) = sdtpldt0(sdtasdt0(_74761, _74759), sdtasdt0(_74761, _74757)))], (236 ^ _67544) ^ [] : [-(sdtasdt0(sdtpldt0(_74759, _74757), _74761) = sdtpldt0(sdtasdt0(_74759, _74761), sdtasdt0(_74757, _74761)))]], aElement0(_74761), aElement0(_74759), aElement0(_74757)], (238 ^ _67544) ^ [_75276] : [aElement0(_75276), 241 ^ _67544 : [(242 ^ _67544) ^ [] : [-(sdtasdt0(smndt0(sz10), _75276) = smndt0(_75276))], (244 ^ _67544) ^ [] : [-(smndt0(_75276) = sdtasdt0(_75276, smndt0(sz10)))]]], (246 ^ _67544) ^ [_75557] : [aElement0(_75557), 249 ^ _67544 : [(250 ^ _67544) ^ [] : [-(sdtasdt0(_75557, sz00) = sz00)], (252 ^ _67544) ^ [] : [-(sz00 = sdtasdt0(sz00, _75557))]]], (254 ^ _67544) ^ [_75844, _75846] : [aElement0(_75846), aElement0(_75844), sdtasdt0(_75846, _75844) = sz00, -(_75846 = sz00), -(_75844 = sz00)], (272 ^ _67544) ^ [] : [sz10 = sz00], (274 ^ _67544) ^ [_76364] : [aSet0(_76364), true___, -(true___)], (284 ^ _67544) ^ [_76619] : [aSet0(_76619), 287 ^ _67544 : [(288 ^ _67544) ^ [_76749] : [aElementOf0(_76749, _76619), -(aElement0(_76749))]]], (294 ^ _67544) ^ [_76964, _76966] : [aSet0(_76966), aSet0(_76964), -(_76966 = _76964), 306 ^ _67544 : [(307 ^ _67544) ^ [] : [-(aElementOf0(305 ^ [_76964, _76966], _76966))], (309 ^ _67544) ^ [] : [aElementOf0(305 ^ [_76964, _76966], _76964)]], 311 ^ _67544 : [(312 ^ _67544) ^ [] : [-(aElementOf0(310 ^ [_76964, _76966], _76964))], (314 ^ _67544) ^ [] : [aElementOf0(310 ^ [_76964, _76966], _76966)]]], (318 ^ _67544) ^ [_77729, _77731] : [aSet0(_77731), aSet0(_77729), 325 ^ _67544 : [(358 ^ _67544) ^ [_79359] : [-(_79359 = sdtpldt1(_77731, _77729)), aSet0(_79359), 380 ^ _67544 : [(381 ^ _67544) ^ [] : [-(aElementOf0(378 ^ [_77729, _77731, _79359], _77731))], (383 ^ _67544) ^ [] : [-(aElementOf0(379 ^ [_77729, _77731, _79359], _77729))], (385 ^ _67544) ^ [] : [-(sdtpldt0(378 ^ [_77729, _77731, _79359], 379 ^ [_77729, _77731, _79359]) = 363 ^ [_77729, _77731, _79359])], (387 ^ _67544) ^ [] : [aElementOf0(363 ^ [_77729, _77731, _79359], _79359)]], 366 ^ _67544 : [(367 ^ _67544) ^ [] : [-(aElementOf0(363 ^ [_77729, _77731, _79359], _79359))], (369 ^ _67544) ^ [_79788, _79790] : [aElementOf0(_79790, _77731), aElementOf0(_79788, _77729), sdtpldt0(_79790, _79788) = 363 ^ [_77729, _77731, _79359]]]], (326 ^ _67544) ^ [_78024] : [_78024 = sdtpldt1(_77731, _77729), 329 ^ _67544 : [(330 ^ _67544) ^ [] : [-(aSet0(_78024))], (332 ^ _67544) ^ [_78301] : [aElementOf0(_78301, _78024), 337 ^ _67544 : [(338 ^ _67544) ^ [] : [-(aElementOf0(335 ^ [_77729, _77731, _78024, _78301], _77731))], (340 ^ _67544) ^ [] : [-(aElementOf0(336 ^ [_77729, _77731, _78024, _78301], _77729))], (342 ^ _67544) ^ [] : [-(sdtpldt0(335 ^ [_77729, _77731, _78024, _78301], 336 ^ [_77729, _77731, _78024, _78301]) = _78301)]]], (344 ^ _67544) ^ [_78861] : [-(aElementOf0(_78861, _78024)), 345 ^ _67544 : [(346 ^ _67544) ^ [_78991, _78993] : [aElementOf0(_78993, _77731), aElementOf0(_78991, _77729), sdtpldt0(_78993, _78991) = _78861]]]]]]], (493 ^ _67544) ^ [] : [-(aIdeal0(xI))], (495 ^ _67544) ^ [] : [-(aIdeal0(xJ))], (497 ^ _67544) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (499 ^ _67544) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (501 ^ _67544) ^ [] : [-(aElement0(xz))], (503 ^ _67544) ^ [] : [-(aElementOf0(xk, xI))], (505 ^ _67544) ^ [] : [-(aElementOf0(xl, xJ))], (507 ^ _67544) ^ [] : [-(xx = sdtpldt0(xk, xl))], (509 ^ _67544) ^ [] : [-(aElementOf0(xm, xI))], (511 ^ _67544) ^ [] : [-(aElementOf0(xn, xJ))], (513 ^ _67544) ^ [] : [-(xy = sdtpldt0(xm, xn))], (515 ^ _67544) ^ [] : [-(aElementOf0(sdtpldt0(xk, xm), xI))], (517 ^ _67544) ^ [] : [-(aElementOf0(sdtpldt0(xl, xn), xJ))], (470 ^ _67544) ^ [_83453] : [-(aIdeal0(_83453)), aSet0(_83453), 476 ^ _67544 : [(477 ^ _67544) ^ [] : [-(aElementOf0(475 ^ [_83453], _83453))], (479 ^ _67544) ^ [] : [481 ^ _67544 : [(482 ^ _67544) ^ [] : [-(aElementOf0(480 ^ [_83453], _83453))], (484 ^ _67544) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_83453], 480 ^ [_83453]), _83453)]], 486 ^ _67544 : [(487 ^ _67544) ^ [] : [-(aElement0(485 ^ [_83453]))], (489 ^ _67544) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_83453], 475 ^ [_83453]), _83453)]]]]], (448 ^ _67544) ^ [_82658] : [aIdeal0(_82658), 451 ^ _67544 : [(452 ^ _67544) ^ [] : [-(aSet0(_82658))], (454 ^ _67544) ^ [_82890] : [aElementOf0(_82890, _82658), 457 ^ _67544 : [(458 ^ _67544) ^ [_83071] : [aElementOf0(_83071, _82658), -(aElementOf0(sdtpldt0(_82890, _83071), _82658))], (464 ^ _67544) ^ [_83263] : [aElement0(_83263), -(aElementOf0(sdtasdt0(_83263, _82890), _82658))]]]]], (391 ^ _67544) ^ [_80709, _80711] : [aSet0(_80711), aSet0(_80709), 398 ^ _67544 : [(423 ^ _67544) ^ [_81788] : [-(_81788 = sdtasasdt0(_80711, _80709)), aSet0(_81788), 439 ^ _67544 : [(440 ^ _67544) ^ [] : [-(aElementOf0(428 ^ [_80709, _80711, _81788], _80711))], (442 ^ _67544) ^ [] : [-(aElementOf0(428 ^ [_80709, _80711, _81788], _80709))], (444 ^ _67544) ^ [] : [aElementOf0(428 ^ [_80709, _80711, _81788], _81788)]], 431 ^ _67544 : [(432 ^ _67544) ^ [] : [-(aElementOf0(428 ^ [_80709, _80711, _81788], _81788))], (434 ^ _67544) ^ [] : [aElementOf0(428 ^ [_80709, _80711, _81788], _80711), aElementOf0(428 ^ [_80709, _80711, _81788], _80709)]]], (399 ^ _67544) ^ [_80985] : [_80985 = sdtasasdt0(_80711, _80709), 402 ^ _67544 : [(403 ^ _67544) ^ [] : [-(aSet0(_80985))], (405 ^ _67544) ^ [_81243] : [aElementOf0(_81243, _80985), 408 ^ _67544 : [(409 ^ _67544) ^ [] : [-(aElementOf0(_81243, _80711))], (411 ^ _67544) ^ [] : [-(aElementOf0(_81243, _80709))]]], (413 ^ _67544) ^ [_81502] : [-(aElementOf0(_81502, _80985)), aElementOf0(_81502, _80711), aElementOf0(_81502, _80709)]]]]]], input).
% 0.31/1.37 ncf('1',plain,[aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ)],start(519 ^ 0)).
% 0.31/1.37 ncf('1.1',plain,[-(aElementOf0(sdtasdt0(xz, xk), xI)), 464 : aElement0(xz), 464 : aElementOf0(xk, xI), 454 : aIdeal0(xI)],extension(448 ^ 1,bind([[_82658, _82890, _83263], [xI, xk, xz]]))).
% 0.31/1.37 ncf('1.1.1',plain,[-(aElement0(xz))],extension(501 ^ 6)).
% 0.31/1.37 ncf('1.1.2',plain,[-(aElementOf0(xk, xI))],extension(503 ^ 4)).
% 0.31/1.37 ncf('1.1.3',plain,[-(aIdeal0(xI))],extension(493 ^ 2)).
% 0.31/1.37 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(xz, xl), xJ)), 464 : aElement0(xz), 464 : aElementOf0(xl, xJ), 454 : aIdeal0(xJ)],extension(448 ^ 1,bind([[_82658, _82890, _83263], [xJ, xl, xz]]))).
% 0.31/1.37 ncf('1.2.1',plain,[-(aElement0(xz))],extension(501 ^ 6)).
% 0.31/1.37 ncf('1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(505 ^ 4)).
% 0.31/1.37 ncf('1.2.3',plain,[-(aIdeal0(xJ))],extension(495 ^ 2)).
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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