TSTP Solution File: RNG091+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG091+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 101.83s 98.66s
% Output : Proof 101.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG091+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 20:32:27 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.83/98.66
% 101.83/98.66 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.83/98.66 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.83/98.66 %-----------------------------------------------------
% 101.83/98.66 ncf(matrix, plain, [(527 ^ _73934) ^ [] : [aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ)), aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))], (64 ^ _73934) ^ [_76023, _76025] : [_76025 = _76023, -(smndt0(_76025) = smndt0(_76023))], (70 ^ _73934) ^ [_76269, _76271, _76273, _76275] : [-(sdtasasdt0(_76275, _76271) = sdtasasdt0(_76273, _76269)), _76275 = _76273, _76271 = _76269], (80 ^ _73934) ^ [_76628, _76630, _76632, _76634] : [-(sdtpldt0(_76634, _76630) = sdtpldt0(_76632, _76628)), _76634 = _76632, _76630 = _76628], (90 ^ _73934) ^ [_76987, _76989, _76991, _76993] : [-(sdtasdt0(_76993, _76989) = sdtasdt0(_76991, _76987)), _76993 = _76991, _76989 = _76987], (100 ^ _73934) ^ [_77326, _77328, _77330, _77332] : [-(sdtpldt1(_77332, _77328) = sdtpldt1(_77330, _77326)), _77332 = _77330, _77328 = _77326], (2 ^ _73934) ^ [_74078] : [-(_74078 = _74078)], (4 ^ _73934) ^ [_74185, _74187] : [_74187 = _74185, -(_74185 = _74187)], (10 ^ _73934) ^ [_74389, _74391, _74393] : [-(_74393 = _74389), _74393 = _74391, _74391 = _74389], (20 ^ _73934) ^ [_74702, _74704] : [-(aSet0(_74702)), _74704 = _74702, aSet0(_74704)], (30 ^ _73934) ^ [_74997, _74999] : [-(aIdeal0(_74997)), _74999 = _74997, aIdeal0(_74999)], (40 ^ _73934) ^ [_75292, _75294] : [-(aElement0(_75292)), _75294 = _75292, aElement0(_75294)], (50 ^ _73934) ^ [_75595, _75597, _75599, _75601] : [-(aElementOf0(_75599, _75595)), aElementOf0(_75601, _75597), _75601 = _75599, _75597 = _75595], (110 ^ _73934) ^ [_77661] : [aElement0(_77661), true___, -(true___)], (120 ^ _73934) ^ [] : [-(aElement0(sz00))], (122 ^ _73934) ^ [] : [-(aElement0(sz10))], (124 ^ _73934) ^ [_78022] : [aElement0(_78022), -(aElement0(smndt0(_78022)))], (130 ^ _73934) ^ [_78226, _78228] : [-(aElement0(sdtpldt0(_78228, _78226))), aElement0(_78228), aElement0(_78226)], (140 ^ _73934) ^ [_78525, _78527] : [-(aElement0(sdtasdt0(_78527, _78525))), aElement0(_78527), aElement0(_78525)], (150 ^ _73934) ^ [_78824, _78826] : [-(sdtpldt0(_78826, _78824) = sdtpldt0(_78824, _78826)), aElement0(_78826), aElement0(_78824)], (160 ^ _73934) ^ [_79145, _79147, _79149] : [-(sdtpldt0(sdtpldt0(_79149, _79147), _79145) = sdtpldt0(_79149, sdtpldt0(_79147, _79145))), aElement0(_79149), aElement0(_79147), aElement0(_79145)], (174 ^ _73934) ^ [_79551] : [aElement0(_79551), 177 ^ _73934 : [(178 ^ _73934) ^ [] : [-(sdtpldt0(_79551, sz00) = _79551)], (180 ^ _73934) ^ [] : [-(_79551 = sdtpldt0(sz00, _79551))]]], (182 ^ _73934) ^ [_79824] : [aElement0(_79824), 185 ^ _73934 : [(186 ^ _73934) ^ [] : [-(sdtpldt0(_79824, smndt0(_79824)) = sz00)], (188 ^ _73934) ^ [] : [-(sz00 = sdtpldt0(smndt0(_79824), _79824))]]], (190 ^ _73934) ^ [_80119, _80121] : [-(sdtasdt0(_80121, _80119) = sdtasdt0(_80119, _80121)), aElement0(_80121), aElement0(_80119)], (200 ^ _73934) ^ [_80440, _80442, _80444] : [-(sdtasdt0(sdtasdt0(_80444, _80442), _80440) = sdtasdt0(_80444, sdtasdt0(_80442, _80440))), aElement0(_80444), aElement0(_80442), aElement0(_80440)], (214 ^ _73934) ^ [_80846] : [aElement0(_80846), 217 ^ _73934 : [(218 ^ _73934) ^ [] : [-(sdtasdt0(_80846, sz10) = _80846)], (220 ^ _73934) ^ [] : [-(_80846 = sdtasdt0(sz10, _80846))]]], (222 ^ _73934) ^ [_81147, _81149, _81151] : [233 ^ _73934 : [(234 ^ _73934) ^ [] : [-(sdtasdt0(_81151, sdtpldt0(_81149, _81147)) = sdtpldt0(sdtasdt0(_81151, _81149), sdtasdt0(_81151, _81147)))], (236 ^ _73934) ^ [] : [-(sdtasdt0(sdtpldt0(_81149, _81147), _81151) = sdtpldt0(sdtasdt0(_81149, _81151), sdtasdt0(_81147, _81151)))]], aElement0(_81151), aElement0(_81149), aElement0(_81147)], (238 ^ _73934) ^ [_81666] : [aElement0(_81666), 241 ^ _73934 : [(242 ^ _73934) ^ [] : [-(sdtasdt0(smndt0(sz10), _81666) = smndt0(_81666))], (244 ^ _73934) ^ [] : [-(smndt0(_81666) = sdtasdt0(_81666, smndt0(sz10)))]]], (246 ^ _73934) ^ [_81947] : [aElement0(_81947), 249 ^ _73934 : [(250 ^ _73934) ^ [] : [-(sdtasdt0(_81947, sz00) = sz00)], (252 ^ _73934) ^ [] : [-(sz00 = sdtasdt0(sz00, _81947))]]], (254 ^ _73934) ^ [_82234, _82236] : [aElement0(_82236), aElement0(_82234), sdtasdt0(_82236, _82234) = sz00, -(_82236 = sz00), -(_82234 = sz00)], (272 ^ _73934) ^ [] : [sz10 = sz00], (274 ^ _73934) ^ [_82754] : [aSet0(_82754), true___, -(true___)], (284 ^ _73934) ^ [_83009] : [aSet0(_83009), 287 ^ _73934 : [(288 ^ _73934) ^ [_83139] : [aElementOf0(_83139, _83009), -(aElement0(_83139))]]], (294 ^ _73934) ^ [_83354, _83356] : [aSet0(_83356), aSet0(_83354), -(_83356 = _83354), 306 ^ _73934 : [(307 ^ _73934) ^ [] : [-(aElementOf0(305 ^ [_83354, _83356], _83356))], (309 ^ _73934) ^ [] : [aElementOf0(305 ^ [_83354, _83356], _83354)]], 311 ^ _73934 : [(312 ^ _73934) ^ [] : [-(aElementOf0(310 ^ [_83354, _83356], _83354))], (314 ^ _73934) ^ [] : [aElementOf0(310 ^ [_83354, _83356], _83356)]]], (318 ^ _73934) ^ [_84119, _84121] : [aSet0(_84121), aSet0(_84119), 325 ^ _73934 : [(358 ^ _73934) ^ [_85749] : [-(_85749 = sdtpldt1(_84121, _84119)), aSet0(_85749), 380 ^ _73934 : [(381 ^ _73934) ^ [] : [-(aElementOf0(378 ^ [_84119, _84121, _85749], _84121))], (383 ^ _73934) ^ [] : [-(aElementOf0(379 ^ [_84119, _84121, _85749], _84119))], (385 ^ _73934) ^ [] : [-(sdtpldt0(378 ^ [_84119, _84121, _85749], 379 ^ [_84119, _84121, _85749]) = 363 ^ [_84119, _84121, _85749])], (387 ^ _73934) ^ [] : [aElementOf0(363 ^ [_84119, _84121, _85749], _85749)]], 366 ^ _73934 : [(367 ^ _73934) ^ [] : [-(aElementOf0(363 ^ [_84119, _84121, _85749], _85749))], (369 ^ _73934) ^ [_86178, _86180] : [aElementOf0(_86180, _84121), aElementOf0(_86178, _84119), sdtpldt0(_86180, _86178) = 363 ^ [_84119, _84121, _85749]]]], (326 ^ _73934) ^ [_84414] : [_84414 = sdtpldt1(_84121, _84119), 329 ^ _73934 : [(330 ^ _73934) ^ [] : [-(aSet0(_84414))], (332 ^ _73934) ^ [_84691] : [aElementOf0(_84691, _84414), 337 ^ _73934 : [(338 ^ _73934) ^ [] : [-(aElementOf0(335 ^ [_84119, _84121, _84414, _84691], _84121))], (340 ^ _73934) ^ [] : [-(aElementOf0(336 ^ [_84119, _84121, _84414, _84691], _84119))], (342 ^ _73934) ^ [] : [-(sdtpldt0(335 ^ [_84119, _84121, _84414, _84691], 336 ^ [_84119, _84121, _84414, _84691]) = _84691)]]], (344 ^ _73934) ^ [_85251] : [-(aElementOf0(_85251, _84414)), 345 ^ _73934 : [(346 ^ _73934) ^ [_85381, _85383] : [aElementOf0(_85383, _84121), aElementOf0(_85381, _84119), sdtpldt0(_85383, _85381) = _85251]]]]]]], (493 ^ _73934) ^ [] : [-(aIdeal0(xI))], (495 ^ _73934) ^ [] : [-(aIdeal0(xJ))], (497 ^ _73934) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (499 ^ _73934) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (501 ^ _73934) ^ [] : [-(aElement0(xz))], (503 ^ _73934) ^ [] : [-(aElementOf0(xk, xI))], (505 ^ _73934) ^ [] : [-(aElementOf0(xl, xJ))], (507 ^ _73934) ^ [] : [-(xx = sdtpldt0(xk, xl))], (509 ^ _73934) ^ [] : [-(aElementOf0(xm, xI))], (511 ^ _73934) ^ [] : [-(aElementOf0(xn, xJ))], (513 ^ _73934) ^ [] : [-(xy = sdtpldt0(xm, xn))], (515 ^ _73934) ^ [] : [-(aElementOf0(sdtpldt0(xk, xm), xI))], (517 ^ _73934) ^ [] : [-(aElementOf0(sdtpldt0(xl, xn), xJ))], (519 ^ _73934) ^ [] : [-(aElementOf0(sdtasdt0(xz, xk), xI))], (521 ^ _73934) ^ [] : [-(aElementOf0(sdtasdt0(xz, xl), xJ))], (523 ^ _73934) ^ [] : [-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))], (525 ^ _73934) ^ [] : [-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))], (470 ^ _73934) ^ [_89843] : [-(aIdeal0(_89843)), aSet0(_89843), 476 ^ _73934 : [(477 ^ _73934) ^ [] : [-(aElementOf0(475 ^ [_89843], _89843))], (479 ^ _73934) ^ [] : [481 ^ _73934 : [(482 ^ _73934) ^ [] : [-(aElementOf0(480 ^ [_89843], _89843))], (484 ^ _73934) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_89843], 480 ^ [_89843]), _89843)]], 486 ^ _73934 : [(487 ^ _73934) ^ [] : [-(aElement0(485 ^ [_89843]))], (489 ^ _73934) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_89843], 475 ^ [_89843]), _89843)]]]]], (448 ^ _73934) ^ [_89048] : [aIdeal0(_89048), 451 ^ _73934 : [(452 ^ _73934) ^ [] : [-(aSet0(_89048))], (454 ^ _73934) ^ [_89280] : [aElementOf0(_89280, _89048), 457 ^ _73934 : [(458 ^ _73934) ^ [_89461] : [aElementOf0(_89461, _89048), -(aElementOf0(sdtpldt0(_89280, _89461), _89048))], (464 ^ _73934) ^ [_89653] : [aElement0(_89653), -(aElementOf0(sdtasdt0(_89653, _89280), _89048))]]]]], (391 ^ _73934) ^ [_87099, _87101] : [aSet0(_87101), aSet0(_87099), 398 ^ _73934 : [(423 ^ _73934) ^ [_88178] : [-(_88178 = sdtasasdt0(_87101, _87099)), aSet0(_88178), 439 ^ _73934 : [(440 ^ _73934) ^ [] : [-(aElementOf0(428 ^ [_87099, _87101, _88178], _87101))], (442 ^ _73934) ^ [] : [-(aElementOf0(428 ^ [_87099, _87101, _88178], _87099))], (444 ^ _73934) ^ [] : [aElementOf0(428 ^ [_87099, _87101, _88178], _88178)]], 431 ^ _73934 : [(432 ^ _73934) ^ [] : [-(aElementOf0(428 ^ [_87099, _87101, _88178], _88178))], (434 ^ _73934) ^ [] : [aElementOf0(428 ^ [_87099, _87101, _88178], _87101), aElementOf0(428 ^ [_87099, _87101, _88178], _87099)]]], (399 ^ _73934) ^ [_87375] : [_87375 = sdtasasdt0(_87101, _87099), 402 ^ _73934 : [(403 ^ _73934) ^ [] : [-(aSet0(_87375))], (405 ^ _73934) ^ [_87633] : [aElementOf0(_87633, _87375), 408 ^ _73934 : [(409 ^ _73934) ^ [] : [-(aElementOf0(_87633, _87101))], (411 ^ _73934) ^ [] : [-(aElementOf0(_87633, _87099))]]], (413 ^ _73934) ^ [_87892] : [-(aElementOf0(_87892, _87375)), aElementOf0(_87892, _87101), aElementOf0(_87892, _87099)]]]]]], input).
% 101.83/98.66 ncf('1',plain,[aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ)), aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))],start(527 ^ 0)).
% 101.83/98.66 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ))), 346 : aElementOf0(sdtpldt0(xk, xm), xI), 346 : aElementOf0(sdtpldt0(xl, xn), xJ), 346 : sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy), 344 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 1,bind([[_84119, _84121, _84414, _85251, _85381, _85383], [xJ, xI, sdtpldt1(xI, xJ), sdtpldt0(xx, xy), sdtpldt0(xl, xn), sdtpldt0(xk, xm)]]))).
% 101.83/98.66 ncf('1.1.1',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI))],extension(515 ^ 8)).
% 101.83/98.66 ncf('1.1.2',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ))],extension(517 ^ 8)).
% 101.83/98.66 ncf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy)), sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn))],extension(4 ^ 8,bind([[_74185, _74187], [sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)), sdtpldt0(xx, xy)]]))).
% 101.83/98.66 ncf('1.1.3.1',plain,[-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))],extension(523 ^ 9)).
% 101.83/98.66 ncf('1.1.4',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 4,bind([[_74078], [sdtpldt1(xI, xJ)]]))).
% 101.83/98.66 ncf('1.1.5',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 2,bind([[_89048], [xI]]))).
% 101.83/98.66 ncf('1.1.5.1',plain,[-(aIdeal0(xI))],extension(493 ^ 3)).
% 101.83/98.66 ncf('1.1.6',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 2,bind([[_89048], [xJ]]))).
% 101.83/98.66 ncf('1.1.6.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 3)).
% 101.83/98.66 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))), 346 : aElementOf0(sdtasdt0(xz, xk), xI), 346 : aElementOf0(sdtasdt0(xz, xl), xJ), 346 : sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx), 344 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 1,bind([[_84119, _84121, _84414, _85251, _85381, _85383], [xJ, xI, sdtpldt1(xI, xJ), sdtasdt0(xz, xx), sdtasdt0(xz, xl), sdtasdt0(xz, xk)]]))).
% 101.83/98.66 ncf('1.2.1',plain,[-(aElementOf0(sdtasdt0(xz, xk), xI))],extension(519 ^ 8)).
% 101.83/98.66 ncf('1.2.2',plain,[-(aElementOf0(sdtasdt0(xz, xl), xJ))],extension(521 ^ 8)).
% 101.83/98.66 ncf('1.2.3',plain,[-(sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx)), sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl))],extension(4 ^ 8,bind([[_74185, _74187], [sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)), sdtasdt0(xz, xx)]]))).
% 101.83/98.66 ncf('1.2.3.1',plain,[-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))],extension(525 ^ 9)).
% 101.83/98.66 ncf('1.2.4',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 4,bind([[_74078], [sdtpldt1(xI, xJ)]]))).
% 101.83/98.66 ncf('1.2.5',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 2,bind([[_89048], [xI]]))).
% 101.83/98.66 ncf('1.2.5.1',plain,[-(aIdeal0(xI))],extension(493 ^ 3)).
% 101.83/98.66 ncf('1.2.6',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 2,bind([[_89048], [xJ]]))).
% 101.83/98.66 ncf('1.2.6.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 3)).
% 101.83/98.66 %-----------------------------------------------------
% 101.83/98.66 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------