TSTP Solution File: RNG088+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG088+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG088+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n008.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 20:33:39 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(515 ^ _66818) ^ [] : [aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)], (64 ^ _66818) ^ [_68907, _68909] : [_68909 = _68907, -(smndt0(_68909) = smndt0(_68907))], (70 ^ _66818) ^ [_69153, _69155, _69157, _69159] : [-(sdtasasdt0(_69159, _69155) = sdtasasdt0(_69157, _69153)), _69159 = _69157, _69155 = _69153], (80 ^ _66818) ^ [_69512, _69514, _69516, _69518] : [-(sdtasdt0(_69518, _69514) = sdtasdt0(_69516, _69512)), _69518 = _69516, _69514 = _69512], (90 ^ _66818) ^ [_69871, _69873, _69875, _69877] : [-(sdtpldt1(_69877, _69873) = sdtpldt1(_69875, _69871)), _69877 = _69875, _69873 = _69871], (100 ^ _66818) ^ [_70210, _70212, _70214, _70216] : [-(sdtpldt0(_70216, _70212) = sdtpldt0(_70214, _70210)), _70216 = _70214, _70212 = _70210], (2 ^ _66818) ^ [_66962] : [-(_66962 = _66962)], (4 ^ _66818) ^ [_67069, _67071] : [_67071 = _67069, -(_67069 = _67071)], (10 ^ _66818) ^ [_67273, _67275, _67277] : [-(_67277 = _67273), _67277 = _67275, _67275 = _67273], (20 ^ _66818) ^ [_67586, _67588] : [-(aSet0(_67586)), _67588 = _67586, aSet0(_67588)], (30 ^ _66818) ^ [_67881, _67883] : [-(aIdeal0(_67881)), _67883 = _67881, aIdeal0(_67883)], (40 ^ _66818) ^ [_68176, _68178] : [-(aElement0(_68176)), _68178 = _68176, aElement0(_68178)], (50 ^ _66818) ^ [_68479, _68481, _68483, _68485] : [-(aElementOf0(_68483, _68479)), aElementOf0(_68485, _68481), _68485 = _68483, _68481 = _68479], (110 ^ _66818) ^ [_70545] : [aElement0(_70545), true___, -(true___)], (120 ^ _66818) ^ [] : [-(aElement0(sz00))], (122 ^ _66818) ^ [] : [-(aElement0(sz10))], (124 ^ _66818) ^ [_70906] : [aElement0(_70906), -(aElement0(smndt0(_70906)))], (130 ^ _66818) ^ [_71110, _71112] : [-(aElement0(sdtpldt0(_71112, _71110))), aElement0(_71112), aElement0(_71110)], (140 ^ _66818) ^ [_71409, _71411] : [-(aElement0(sdtasdt0(_71411, _71409))), aElement0(_71411), aElement0(_71409)], (150 ^ _66818) ^ [_71708, _71710] : [-(sdtpldt0(_71710, _71708) = sdtpldt0(_71708, _71710)), aElement0(_71710), aElement0(_71708)], (160 ^ _66818) ^ [_72029, _72031, _72033] : [-(sdtpldt0(sdtpldt0(_72033, _72031), _72029) = sdtpldt0(_72033, sdtpldt0(_72031, _72029))), aElement0(_72033), aElement0(_72031), aElement0(_72029)], (174 ^ _66818) ^ [_72435] : [aElement0(_72435), 177 ^ _66818 : [(178 ^ _66818) ^ [] : [-(sdtpldt0(_72435, sz00) = _72435)], (180 ^ _66818) ^ [] : [-(_72435 = sdtpldt0(sz00, _72435))]]], (182 ^ _66818) ^ [_72708] : [aElement0(_72708), 185 ^ _66818 : [(186 ^ _66818) ^ [] : [-(sdtpldt0(_72708, smndt0(_72708)) = sz00)], (188 ^ _66818) ^ [] : [-(sz00 = sdtpldt0(smndt0(_72708), _72708))]]], (190 ^ _66818) ^ [_73003, _73005] : [-(sdtasdt0(_73005, _73003) = sdtasdt0(_73003, _73005)), aElement0(_73005), aElement0(_73003)], (200 ^ _66818) ^ [_73324, _73326, _73328] : [-(sdtasdt0(sdtasdt0(_73328, _73326), _73324) = sdtasdt0(_73328, sdtasdt0(_73326, _73324))), aElement0(_73328), aElement0(_73326), aElement0(_73324)], (214 ^ _66818) ^ [_73730] : [aElement0(_73730), 217 ^ _66818 : [(218 ^ _66818) ^ [] : [-(sdtasdt0(_73730, sz10) = _73730)], (220 ^ _66818) ^ [] : [-(_73730 = sdtasdt0(sz10, _73730))]]], (222 ^ _66818) ^ [_74031, _74033, _74035] : [233 ^ _66818 : [(234 ^ _66818) ^ [] : [-(sdtasdt0(_74035, sdtpldt0(_74033, _74031)) = sdtpldt0(sdtasdt0(_74035, _74033), sdtasdt0(_74035, _74031)))], (236 ^ _66818) ^ [] : [-(sdtasdt0(sdtpldt0(_74033, _74031), _74035) = sdtpldt0(sdtasdt0(_74033, _74035), sdtasdt0(_74031, _74035)))]], aElement0(_74035), aElement0(_74033), aElement0(_74031)], (238 ^ _66818) ^ [_74550] : [aElement0(_74550), 241 ^ _66818 : [(242 ^ _66818) ^ [] : [-(sdtasdt0(smndt0(sz10), _74550) = smndt0(_74550))], (244 ^ _66818) ^ [] : [-(smndt0(_74550) = sdtasdt0(_74550, smndt0(sz10)))]]], (246 ^ _66818) ^ [_74831] : [aElement0(_74831), 249 ^ _66818 : [(250 ^ _66818) ^ [] : [-(sdtasdt0(_74831, sz00) = sz00)], (252 ^ _66818) ^ [] : [-(sz00 = sdtasdt0(sz00, _74831))]]], (254 ^ _66818) ^ [_75118, _75120] : [aElement0(_75120), aElement0(_75118), sdtasdt0(_75120, _75118) = sz00, -(_75120 = sz00), -(_75118 = sz00)], (272 ^ _66818) ^ [] : [sz10 = sz00], (274 ^ _66818) ^ [_75638] : [aSet0(_75638), true___, -(true___)], (284 ^ _66818) ^ [_75893] : [aSet0(_75893), 287 ^ _66818 : [(288 ^ _66818) ^ [_76023] : [aElementOf0(_76023, _75893), -(aElement0(_76023))]]], (294 ^ _66818) ^ [_76238, _76240] : [aSet0(_76240), aSet0(_76238), -(_76240 = _76238), 306 ^ _66818 : [(307 ^ _66818) ^ [] : [-(aElementOf0(305 ^ [_76238, _76240], _76240))], (309 ^ _66818) ^ [] : [aElementOf0(305 ^ [_76238, _76240], _76238)]], 311 ^ _66818 : [(312 ^ _66818) ^ [] : [-(aElementOf0(310 ^ [_76238, _76240], _76238))], (314 ^ _66818) ^ [] : [aElementOf0(310 ^ [_76238, _76240], _76240)]]], (318 ^ _66818) ^ [_77003, _77005] : [aSet0(_77005), aSet0(_77003), 325 ^ _66818 : [(358 ^ _66818) ^ [_78633] : [-(_78633 = sdtpldt1(_77005, _77003)), aSet0(_78633), 380 ^ _66818 : [(381 ^ _66818) ^ [] : [-(aElementOf0(378 ^ [_77003, _77005, _78633], _77005))], (383 ^ _66818) ^ [] : [-(aElementOf0(379 ^ [_77003, _77005, _78633], _77003))], (385 ^ _66818) ^ [] : [-(sdtpldt0(378 ^ [_77003, _77005, _78633], 379 ^ [_77003, _77005, _78633]) = 363 ^ [_77003, _77005, _78633])], (387 ^ _66818) ^ [] : [aElementOf0(363 ^ [_77003, _77005, _78633], _78633)]], 366 ^ _66818 : [(367 ^ _66818) ^ [] : [-(aElementOf0(363 ^ [_77003, _77005, _78633], _78633))], (369 ^ _66818) ^ [_79062, _79064] : [aElementOf0(_79064, _77005), aElementOf0(_79062, _77003), sdtpldt0(_79064, _79062) = 363 ^ [_77003, _77005, _78633]]]], (326 ^ _66818) ^ [_77298] : [_77298 = sdtpldt1(_77005, _77003), 329 ^ _66818 : [(330 ^ _66818) ^ [] : [-(aSet0(_77298))], (332 ^ _66818) ^ [_77575] : [aElementOf0(_77575, _77298), 337 ^ _66818 : [(338 ^ _66818) ^ [] : [-(aElementOf0(335 ^ [_77003, _77005, _77298, _77575], _77005))], (340 ^ _66818) ^ [] : [-(aElementOf0(336 ^ [_77003, _77005, _77298, _77575], _77003))], (342 ^ _66818) ^ [] : [-(sdtpldt0(335 ^ [_77003, _77005, _77298, _77575], 336 ^ [_77003, _77005, _77298, _77575]) = _77575)]]], (344 ^ _66818) ^ [_78135] : [-(aElementOf0(_78135, _77298)), 345 ^ _66818 : [(346 ^ _66818) ^ [_78265, _78267] : [aElementOf0(_78267, _77005), aElementOf0(_78265, _77003), sdtpldt0(_78267, _78265) = _78135]]]]]]], (493 ^ _66818) ^ [] : [-(aIdeal0(xI))], (495 ^ _66818) ^ [] : [-(aIdeal0(xJ))], (497 ^ _66818) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (499 ^ _66818) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (501 ^ _66818) ^ [] : [-(aElement0(xz))], (503 ^ _66818) ^ [] : [-(aElementOf0(xk, xI))], (505 ^ _66818) ^ [] : [-(aElementOf0(xl, xJ))], (507 ^ _66818) ^ [] : [-(xx = sdtpldt0(xk, xl))], (509 ^ _66818) ^ [] : [-(aElementOf0(xm, xI))], (511 ^ _66818) ^ [] : [-(aElementOf0(xn, xJ))], (513 ^ _66818) ^ [] : [-(xy = sdtpldt0(xm, xn))], (470 ^ _66818) ^ [_82727] : [-(aIdeal0(_82727)), aSet0(_82727), 476 ^ _66818 : [(477 ^ _66818) ^ [] : [-(aElementOf0(475 ^ [_82727], _82727))], (479 ^ _66818) ^ [] : [481 ^ _66818 : [(482 ^ _66818) ^ [] : [-(aElementOf0(480 ^ [_82727], _82727))], (484 ^ _66818) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_82727], 480 ^ [_82727]), _82727)]], 486 ^ _66818 : [(487 ^ _66818) ^ [] : [-(aElement0(485 ^ [_82727]))], (489 ^ _66818) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_82727], 475 ^ [_82727]), _82727)]]]]], (448 ^ _66818) ^ [_81932] : [aIdeal0(_81932), 451 ^ _66818 : [(452 ^ _66818) ^ [] : [-(aSet0(_81932))], (454 ^ _66818) ^ [_82164] : [aElementOf0(_82164, _81932), 457 ^ _66818 : [(458 ^ _66818) ^ [_82345] : [aElementOf0(_82345, _81932), -(aElementOf0(sdtpldt0(_82164, _82345), _81932))], (464 ^ _66818) ^ [_82537] : [aElement0(_82537), -(aElementOf0(sdtasdt0(_82537, _82164), _81932))]]]]], (391 ^ _66818) ^ [_79983, _79985] : [aSet0(_79985), aSet0(_79983), 398 ^ _66818 : [(423 ^ _66818) ^ [_81062] : [-(_81062 = sdtasasdt0(_79985, _79983)), aSet0(_81062), 439 ^ _66818 : [(440 ^ _66818) ^ [] : [-(aElementOf0(428 ^ [_79983, _79985, _81062], _79985))], (442 ^ _66818) ^ [] : [-(aElementOf0(428 ^ [_79983, _79985, _81062], _79983))], (444 ^ _66818) ^ [] : [aElementOf0(428 ^ [_79983, _79985, _81062], _81062)]], 431 ^ _66818 : [(432 ^ _66818) ^ [] : [-(aElementOf0(428 ^ [_79983, _79985, _81062], _81062))], (434 ^ _66818) ^ [] : [aElementOf0(428 ^ [_79983, _79985, _81062], _79985), aElementOf0(428 ^ [_79983, _79985, _81062], _79983)]]], (399 ^ _66818) ^ [_80259] : [_80259 = sdtasasdt0(_79985, _79983), 402 ^ _66818 : [(403 ^ _66818) ^ [] : [-(aSet0(_80259))], (405 ^ _66818) ^ [_80517] : [aElementOf0(_80517, _80259), 408 ^ _66818 : [(409 ^ _66818) ^ [] : [-(aElementOf0(_80517, _79985))], (411 ^ _66818) ^ [] : [-(aElementOf0(_80517, _79983))]]], (413 ^ _66818) ^ [_80776] : [-(aElementOf0(_80776, _80259)), aElementOf0(_80776, _79985), aElementOf0(_80776, _79983)]]]]]], input).
% 0.33/1.38 ncf('1',plain,[aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)],start(515 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI)), 458 : aElementOf0(xm, xI), 458 : aElementOf0(xk, xI), 454 : aIdeal0(xI)],extension(448 ^ 1,bind([[_81932, _82164, _82345], [xI, xk, xm]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(aElementOf0(xm, xI))],extension(509 ^ 6)).
% 0.33/1.38 ncf('1.1.2',plain,[-(aElementOf0(xk, xI))],extension(503 ^ 4)).
% 0.33/1.38 ncf('1.1.3',plain,[-(aIdeal0(xI))],extension(493 ^ 2)).
% 0.33/1.38 ncf('1.2',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ)), 458 : aElementOf0(xn, xJ), 458 : aElementOf0(xl, xJ), 454 : aIdeal0(xJ)],extension(448 ^ 1,bind([[_81932, _82164, _82345], [xJ, xl, xn]]))).
% 0.33/1.38 ncf('1.2.1',plain,[-(aElementOf0(xn, xJ))],extension(511 ^ 6)).
% 0.33/1.38 ncf('1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(505 ^ 4)).
% 0.33/1.38 ncf('1.2.3',plain,[-(aIdeal0(xJ))],extension(495 ^ 2)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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