TSTP Solution File: RNG103+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 11:49:50 EDT 2023
% Result : Theorem 43.20s 42.71s
% Output : Proof 43.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG103+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 20:24:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 43.20/42.71
% 43.20/42.71 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.20/42.71 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.20/42.71 %-----------------------------------------------------
% 43.20/42.71 ncf(matrix, plain, [(930 ^ _150972) ^ [] : [sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))], !, (30 ^ _119849) ^ [_120948, _120950, _120952, _120954, _120956, _120958] : [-(sdteqdtlpzmzozddtrp0(_120956, _120952, _120948)), sdteqdtlpzmzozddtrp0(_120958, _120954, _120950), _120958 = _120956, _120954 = _120952, _120950 = _120948], (627 ^ _119849) ^ [_140969, _140971, _140973] : [aElement0(_140973), aElement0(_140971), aIdeal0(_140969), 638 ^ _119849 : [(645 ^ _119849) ^ [] : [aElementOf0(sdtpldt0(_140973, smndt0(_140971)), _140969), -(sdteqdtlpzmzozddtrp0(_140973, _140971, _140969))], (639 ^ _119849) ^ [] : [sdteqdtlpzmzozddtrp0(_140973, _140971, _140969), -(aElementOf0(sdtpldt0(_140973, smndt0(_140971)), _140969))]]], (328 ^ _119849) ^ [_130520] : [aElement0(_130520), 331 ^ _119849 : [(334 ^ _119849) ^ [] : [-(_130520 = sdtasdt0(sz10, _130520))], (332 ^ _119849) ^ [] : [-(sdtasdt0(_130520, sz10) = _130520)]]], (651 ^ _119849) ^ [_141647, _141649] : [aIdeal0(_141649), aIdeal0(_141647), 661 ^ _119849 : [(664 ^ _119849) ^ [] : [aElementOf0(660 ^ [_141647, _141649], sdtpldt1(_141649, _141647))], (662 ^ _119849) ^ [] : [-(aElement0(660 ^ [_141647, _141649]))]], 665 ^ _119849 : [(666 ^ _119849) ^ [_142145, _142147] : [674 ^ _119849 : [(679 ^ _119849) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_141647, _141649, _142145, _142147], _142145, _141647))], (677 ^ _119849) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_141647, _141649, _142145, _142147], _142147, _141649))], (675 ^ _119849) ^ [] : [-(aElement0(673 ^ [_141647, _141649, _142145, _142147]))]], aElement0(_142147), aElement0(_142145)]]], (432 ^ _119849) ^ [_133793, _133795] : [aSet0(_133795), aSet0(_133793), 439 ^ _119849 : [(440 ^ _119849) ^ [_134088] : [_134088 = sdtpldt1(_133795, _133793), 443 ^ _119849 : [(458 ^ _119849) ^ [_134925] : [-(aElementOf0(_134925, _134088)), 459 ^ _119849 : [(460 ^ _119849) ^ [_135055, _135057] : [aElementOf0(_135057, _133795), aElementOf0(_135055, _133793), sdtpldt0(_135057, _135055) = _134925]]], (446 ^ _119849) ^ [_134365] : [aElementOf0(_134365, _134088), 451 ^ _119849 : [(456 ^ _119849) ^ [] : [-(sdtpldt0(449 ^ [_133793, _133795, _134088, _134365], 450 ^ [_133793, _133795, _134088, _134365]) = _134365)], (454 ^ _119849) ^ [] : [-(aElementOf0(450 ^ [_133793, _133795, _134088, _134365], _133793))], (452 ^ _119849) ^ [] : [-(aElementOf0(449 ^ [_133793, _133795, _134088, _134365], _133795))]]], (444 ^ _119849) ^ [] : [-(aSet0(_134088))]]], (472 ^ _119849) ^ [_135423] : [-(_135423 = sdtpldt1(_133795, _133793)), aSet0(_135423), 494 ^ _119849 : [(497 ^ _119849) ^ [] : [-(aElementOf0(493 ^ [_133793, _133795, _135423], _133793))], (499 ^ _119849) ^ [] : [-(sdtpldt0(492 ^ [_133793, _133795, _135423], 493 ^ [_133793, _133795, _135423]) = 477 ^ [_133793, _133795, _135423])], (501 ^ _119849) ^ [] : [aElementOf0(477 ^ [_133793, _133795, _135423], _135423)], (495 ^ _119849) ^ [] : [-(aElementOf0(492 ^ [_133793, _133795, _135423], _133795))]], 480 ^ _119849 : [(483 ^ _119849) ^ [_135852, _135854] : [aElementOf0(_135854, _133795), aElementOf0(_135852, _133793), sdtpldt0(_135854, _135852) = 477 ^ [_133793, _133795, _135423]], (481 ^ _119849) ^ [] : [-(aElementOf0(477 ^ [_133793, _133795, _135423], _135423))]]]]], (916 ^ _119849) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _119849) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (772 ^ _119849) ^ [_145508] : [aElement0(_145508), 775 ^ _119849 : [(784 ^ _119849) ^ [_145910] : [-(aDivisorOf0(_145910, _145508)), aElement0(_145910), doDivides0(_145910, _145508)], (776 ^ _119849) ^ [_145673] : [aDivisorOf0(_145673, _145508), 779 ^ _119849 : [(782 ^ _119849) ^ [] : [-(doDivides0(_145673, _145508))], (780 ^ _119849) ^ [] : [-(aElement0(_145673))]]]]], (100 ^ _119849) ^ [_123156, _123158, _123160, _123162] : [-(misRelativelyPrime0(_123160, _123156)), misRelativelyPrime0(_123162, _123158), _123162 = _123160, _123158 = _123156], (681 ^ _119849) ^ [_142725] : [aNaturalNumber0(_142725), true___, -(true___)], (166 ^ _119849) ^ [_125249, _125251, _125253, _125255] : [-(sdtasasdt0(_125255, _125251) = sdtasasdt0(_125253, _125249)), _125255 = _125253, _125251 = _125249], (244 ^ _119849) ^ [_127900, _127902] : [-(aElement0(sdtpldt0(_127902, _127900))), aElement0(_127902), aElement0(_127900)], (182 ^ _119849) ^ [_125826, _125828, _125830, _125832] : [-(sdtpldt1(_125832, _125828) = sdtpldt1(_125830, _125826)), _125832 = _125830, _125828 = _125826], (224 ^ _119849) ^ [_127335] : [aElement0(_127335), true___, -(true___)], (204 ^ _119849) ^ [_126621, _126623, _126625, _126627] : [-(sdtasdt0(_126627, _126623) = sdtasdt0(_126625, _126621)), _126627 = _126625, _126623 = _126621], (607 ^ _119849) ^ [_140357, _140359] : [-(aIdeal0(sdtpldt1(_140359, _140357))), aIdeal0(_140359), aIdeal0(_140357)], (304 ^ _119849) ^ [_129793, _129795] : [-(sdtasdt0(_129795, _129793) = sdtasdt0(_129793, _129795)), aElement0(_129795), aElement0(_129793)], (254 ^ _119849) ^ [_128199, _128201] : [-(aElement0(sdtasdt0(_128201, _128199))), aElement0(_128201), aElement0(_128199)], (928 ^ _119849) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (398 ^ _119849) ^ [_132683] : [aSet0(_132683), 401 ^ _119849 : [(402 ^ _119849) ^ [_132813] : [aElementOf0(_132813, _132683), -(aElement0(_132813))]]], (142 ^ _119849) ^ [_124504, _124506, _124508, _124510] : [-(aElementOf0(_124508, _124504)), aElementOf0(_124510, _124506), _124510 = _124508, _124506 = _124504], (234 ^ _119849) ^ [] : [-(aElement0(sz00))], (918 ^ _119849) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (72 ^ _119849) ^ [_122268, _122270, _122272, _122274] : [-(aDivisorOf0(_122272, _122268)), aDivisorOf0(_122274, _122270), _122274 = _122272, _122270 = _122268], (352 ^ _119849) ^ [_131340] : [aElement0(_131340), 355 ^ _119849 : [(358 ^ _119849) ^ [] : [-(smndt0(_131340) = sdtasdt0(_131340, smndt0(sz10)))], (356 ^ _119849) ^ [] : [-(sdtasdt0(smndt0(sz10), _131340) = smndt0(_131340))]]], (10 ^ _119849) ^ [_120284, _120286, _120288] : [-(_120288 = _120284), _120288 = _120286, _120286 = _120284], (691 ^ _119849) ^ [_142980] : [-(aNaturalNumber0(sbrdtbr0(_142980))), aElement0(_142980), -(_142980 = sz00)], (114 ^ _119849) ^ [_123628, _123630, _123632, _123634, _123636, _123638] : [-(aGcdOfAnd0(_123636, _123632, _123628)), aGcdOfAnd0(_123638, _123634, _123630), _123638 = _123636, _123634 = _123632, _123630 = _123628], (794 ^ _119849) ^ [_146216, _146218] : [aElement0(_146218), aElement0(_146216), 801 ^ _119849 : [(820 ^ _119849) ^ [_147084] : [-(aGcdOfAnd0(_147084, _146218, _146216)), aDivisorOf0(_147084, _146218), aDivisorOf0(_147084, _146216), 830 ^ _119849 : [(835 ^ _119849) ^ [] : [doDivides0(829 ^ [_146216, _146218, _147084], _147084)], (833 ^ _119849) ^ [] : [-(aDivisorOf0(829 ^ [_146216, _146218, _147084], _146216))], (831 ^ _119849) ^ [] : [-(aDivisorOf0(829 ^ [_146216, _146218, _147084], _146218))]]], (802 ^ _119849) ^ [_146497] : [aGcdOfAnd0(_146497, _146218, _146216), 805 ^ _119849 : [(810 ^ _119849) ^ [_146798] : [-(doDivides0(_146798, _146497)), aDivisorOf0(_146798, _146218), aDivisorOf0(_146798, _146216)], (808 ^ _119849) ^ [] : [-(aDivisorOf0(_146497, _146216))], (806 ^ _119849) ^ [] : [-(aDivisorOf0(_146497, _146218))]]]]], (584 ^ _119849) ^ [_139517] : [-(aIdeal0(_139517)), aSet0(_139517), 590 ^ _119849 : [(593 ^ _119849) ^ [] : [595 ^ _119849 : [(598 ^ _119849) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_139517], 594 ^ [_139517]), _139517)], (596 ^ _119849) ^ [] : [-(aElementOf0(594 ^ [_139517], _139517))]], 600 ^ _119849 : [(603 ^ _119849) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_139517], 589 ^ [_139517]), _139517)], (601 ^ _119849) ^ [] : [-(aElement0(599 ^ [_139517]))]]], (591 ^ _119849) ^ [] : [-(aElementOf0(589 ^ [_139517], _139517))]]], (214 ^ _119849) ^ [_126960, _126962, _126964, _126966] : [-(sdtpldt0(_126966, _126962) = sdtpldt0(_126964, _126960)), _126966 = _126964, _126962 = _126960], (701 ^ _119849) ^ [_143272, _143274] : [aNaturalNumber0(_143274), aNaturalNumber0(_143272), iLess0(_143274, _143272), true___, -(true___)], (4 ^ _119849) ^ [_120080, _120082] : [_120082 = _120080, -(_120080 = _120082)], (288 ^ _119849) ^ [_129225] : [aElement0(_129225), 291 ^ _119849 : [(294 ^ _119849) ^ [] : [-(_129225 = sdtpldt0(sz00, _129225))], (292 ^ _119849) ^ [] : [-(sdtpldt0(_129225, sz00) = _129225)]]], (264 ^ _119849) ^ [_128498, _128500] : [-(sdtpldt0(_128500, _128498) = sdtpldt0(_128498, _128500)), aElement0(_128500), aElement0(_128498)], (236 ^ _119849) ^ [] : [-(aElement0(sz10))], (388 ^ _119849) ^ [_132428] : [aSet0(_132428), true___, -(true___)], (336 ^ _119849) ^ [_130821, _130823, _130825] : [347 ^ _119849 : [(350 ^ _119849) ^ [] : [-(sdtasdt0(sdtpldt0(_130823, _130821), _130825) = sdtpldt0(sdtasdt0(_130823, _130825), sdtasdt0(_130821, _130825)))], (348 ^ _119849) ^ [] : [-(sdtasdt0(_130825, sdtpldt0(_130823, _130821)) = sdtpldt0(sdtasdt0(_130825, _130823), sdtasdt0(_130825, _130821)))]], aElement0(_130825), aElement0(_130823), aElement0(_130821)], (562 ^ _119849) ^ [_138722] : [aIdeal0(_138722), 565 ^ _119849 : [(568 ^ _119849) ^ [_138954] : [aElementOf0(_138954, _138722), 571 ^ _119849 : [(578 ^ _119849) ^ [_139327] : [aElement0(_139327), -(aElementOf0(sdtasdt0(_139327, _138954), _138722))], (572 ^ _119849) ^ [_139135] : [aElementOf0(_139135, _138722), -(aElementOf0(sdtpldt0(_138954, _139135), _138722))]]], (566 ^ _119849) ^ [] : [-(aSet0(_138722))]]], (274 ^ _119849) ^ [_128819, _128821, _128823] : [-(sdtpldt0(sdtpldt0(_128823, _128821), _128819) = sdtpldt0(_128823, sdtpldt0(_128821, _128819))), aElement0(_128823), aElement0(_128821), aElement0(_128819)], (296 ^ _119849) ^ [_129498] : [aElement0(_129498), 299 ^ _119849 : [(302 ^ _119849) ^ [] : [-(sz00 = sdtpldt0(smndt0(_129498), _129498))], (300 ^ _119849) ^ [] : [-(sdtpldt0(_129498, smndt0(_129498)) = sz00)]]], (58 ^ _119849) ^ [_121824, _121826, _121828, _121830] : [-(iLess0(_121828, _121824)), iLess0(_121830, _121826), _121830 = _121828, _121826 = _121824], (745 ^ _119849) ^ [_144679, _144681] : [aElement0(_144681), aElement0(_144679), 752 ^ _119849 : [(762 ^ _119849) ^ [] : [-(doDivides0(_144681, _144679)), 763 ^ _119849 : [(764 ^ _119849) ^ [_145239] : [aElement0(_145239), sdtasdt0(_144681, _145239) = _144679]]], (753 ^ _119849) ^ [] : [doDivides0(_144681, _144679), 757 ^ _119849 : [(760 ^ _119849) ^ [] : [-(sdtasdt0(_144681, 756 ^ [_144679, _144681]) = _144679)], (758 ^ _119849) ^ [] : [-(aElement0(756 ^ [_144679, _144681]))]]]]], (360 ^ _119849) ^ [_131621] : [aElement0(_131621), 363 ^ _119849 : [(366 ^ _119849) ^ [] : [-(sz00 = sdtasdt0(sz00, _131621))], (364 ^ _119849) ^ [] : [-(sdtasdt0(_131621, sz00) = sz00)]]], (156 ^ _119849) ^ [_124900, _124902] : [-(aElement0(_124900)), _124902 = _124900, aElement0(_124902)], (48 ^ _119849) ^ [_121501, _121503] : [-(aNaturalNumber0(_121501)), _121503 = _121501, aNaturalNumber0(_121503)], (386 ^ _119849) ^ [] : [sz10 = sz00], (914 ^ _119849) ^ [] : [-(aElement0(xc))], (20 ^ _119849) ^ [_120597, _120599] : [-(aIdeal0(_120597)), _120599 = _120597, aIdeal0(_120599)], (617 ^ _119849) ^ [_140656, _140658] : [-(aIdeal0(sdtasasdt0(_140658, _140656))), aIdeal0(_140658), aIdeal0(_140656)], (408 ^ _119849) ^ [_133028, _133030] : [aSet0(_133030), aSet0(_133028), -(_133030 = _133028), 420 ^ _119849 : [(423 ^ _119849) ^ [] : [aElementOf0(419 ^ [_133028, _133030], _133028)], (421 ^ _119849) ^ [] : [-(aElementOf0(419 ^ [_133028, _133030], _133030))]], 425 ^ _119849 : [(428 ^ _119849) ^ [] : [aElementOf0(424 ^ [_133028, _133030], _133030)], (426 ^ _119849) ^ [] : [-(aElementOf0(424 ^ [_133028, _133030], _133028))]]], (922 ^ _119849) ^ [] : [-(aElement0(xu))], (238 ^ _119849) ^ [_127696] : [aElement0(_127696), -(aElement0(smndt0(_127696)))], (505 ^ _119849) ^ [_136773, _136775] : [aSet0(_136775), aSet0(_136773), 512 ^ _119849 : [(513 ^ _119849) ^ [_137049] : [_137049 = sdtasasdt0(_136775, _136773), 516 ^ _119849 : [(527 ^ _119849) ^ [_137566] : [-(aElementOf0(_137566, _137049)), aElementOf0(_137566, _136775), aElementOf0(_137566, _136773)], (519 ^ _119849) ^ [_137307] : [aElementOf0(_137307, _137049), 522 ^ _119849 : [(525 ^ _119849) ^ [] : [-(aElementOf0(_137307, _136773))], (523 ^ _119849) ^ [] : [-(aElementOf0(_137307, _136775))]]], (517 ^ _119849) ^ [] : [-(aSet0(_137049))]]], (537 ^ _119849) ^ [_137852] : [-(_137852 = sdtasasdt0(_136775, _136773)), aSet0(_137852), 553 ^ _119849 : [(558 ^ _119849) ^ [] : [aElementOf0(542 ^ [_136773, _136775, _137852], _137852)], (556 ^ _119849) ^ [] : [-(aElementOf0(542 ^ [_136773, _136775, _137852], _136773))], (554 ^ _119849) ^ [] : [-(aElementOf0(542 ^ [_136773, _136775, _137852], _136775))]], 545 ^ _119849 : [(548 ^ _119849) ^ [] : [aElementOf0(542 ^ [_136773, _136775, _137852], _136775), aElementOf0(542 ^ [_136773, _136775, _137852], _136773)], (546 ^ _119849) ^ [] : [-(aElementOf0(542 ^ [_136773, _136775, _137852], _137852))]]]]], (859 ^ _119849) ^ [_148285] : [aElement0(_148285), 862 ^ _119849 : [(863 ^ _119849) ^ [_148476] : [_148476 = slsdtgt0(_148285), 866 ^ _119849 : [(878 ^ _119849) ^ [_149064] : [-(aElementOf0(_149064, _148476)), 879 ^ _119849 : [(880 ^ _119849) ^ [_149164] : [aElement0(_149164), sdtasdt0(_148285, _149164) = _149064]]], (869 ^ _119849) ^ [_148731] : [aElementOf0(_148731, _148476), 873 ^ _119849 : [(876 ^ _119849) ^ [] : [-(sdtasdt0(_148285, 872 ^ [_148285, _148476, _148731]) = _148731)], (874 ^ _119849) ^ [] : [-(aElement0(872 ^ [_148285, _148476, _148731]))]]], (867 ^ _119849) ^ [] : [-(aSet0(_148476))]]], (888 ^ _119849) ^ [_149409] : [-(_149409 = slsdtgt0(_148285)), aSet0(_149409), 905 ^ _119849 : [(910 ^ _119849) ^ [] : [aElementOf0(893 ^ [_148285, _149409], _149409)], (908 ^ _119849) ^ [] : [-(sdtasdt0(_148285, 904 ^ [_148285, _149409]) = 893 ^ [_148285, _149409])], (906 ^ _119849) ^ [] : [-(aElement0(904 ^ [_148285, _149409]))]], 896 ^ _119849 : [(899 ^ _119849) ^ [_149781] : [aElement0(_149781), sdtasdt0(_148285, _149781) = 893 ^ [_148285, _149409]], (897 ^ _119849) ^ [] : [-(aElementOf0(893 ^ [_148285, _149409], _149409))]]]]], (86 ^ _119849) ^ [_122712, _122714, _122716, _122718] : [-(doDivides0(_122716, _122712)), doDivides0(_122718, _122714), _122718 = _122716, _122714 = _122712], (198 ^ _119849) ^ [_126375, _126377] : [_126377 = _126375, -(slsdtgt0(_126377) = slsdtgt0(_126375))], (920 ^ _119849) ^ [] : [-(aElement0(xz))], (192 ^ _119849) ^ [_126157, _126159] : [_126159 = _126157, -(sbrdtbr0(_126159) = sbrdtbr0(_126157))], (719 ^ _119849) ^ [_143732, _143734] : [732 ^ _119849 : [(735 ^ _119849) ^ [] : [-(aElement0(731 ^ [_143732, _143734]))], (737 ^ _119849) ^ [] : [-(_143734 = sdtpldt0(sdtasdt0(730 ^ [_143732, _143734], _143732), 731 ^ [_143732, _143734]))], (739 ^ _119849) ^ [] : [-(731 ^ [_143732, _143734] = sz00), -(iLess0(sbrdtbr0(731 ^ [_143732, _143734]), sbrdtbr0(_143732)))], (733 ^ _119849) ^ [] : [-(aElement0(730 ^ [_143732, _143734]))]], aElement0(_143734), aElement0(_143732), -(_143732 = sz00)], (926 ^ _119849) ^ [] : [-(aElement0(xv))], (368 ^ _119849) ^ [_131908, _131910] : [aElement0(_131910), aElement0(_131908), sdtasdt0(_131910, _131908) = sz00, -(_131910 = sz00), -(_131908 = sz00)], (132 ^ _119849) ^ [_124181, _124183] : [-(aSet0(_124181)), _124183 = _124181, aSet0(_124183)], (2 ^ _119849) ^ [_119973] : [-(_119973 = _119973)], (839 ^ _119849) ^ [_147749, _147751] : [aElement0(_147751), aElement0(_147749), 846 ^ _119849 : [(853 ^ _119849) ^ [] : [aGcdOfAnd0(sz10, _147751, _147749), -(misRelativelyPrime0(_147751, _147749))], (847 ^ _119849) ^ [] : [misRelativelyPrime0(_147751, _147749), -(aGcdOfAnd0(sz10, _147751, _147749))]]], (176 ^ _119849) ^ [_125580, _125582] : [_125582 = _125580, -(smndt0(_125582) = smndt0(_125580))], (314 ^ _119849) ^ [_130114, _130116, _130118] : [-(sdtasdt0(sdtasdt0(_130118, _130116), _130114) = sdtasdt0(_130118, sdtasdt0(_130116, _130114))), aElement0(_130118), aElement0(_130116), aElement0(_130114)]], input).
% 43.20/42.71 ncf('1',plain,[sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))],start(930 ^ 0)).
% 43.20/42.71 ncf('1.1',plain,[-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))), sdtpldt0(xx, xy) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)), sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)) = sdtasdt0(xc, sdtpldt0(xu, xv))],extension(10 ^ 1,bind([[_120284, _120286, _120288], [sdtasdt0(xc, sdtpldt0(xu, xv)), sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)), sdtpldt0(xx, xy)]]))).
% 43.20/42.71 ncf('1.1.1',plain,[-(sdtpldt0(xx, xy) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv))), xx = sdtasdt0(xc, xu), xy = sdtasdt0(xc, xv)],extension(214 ^ 2,bind([[_126960, _126962, _126964, _126966], [sdtasdt0(xc, xv), xy, sdtasdt0(xc, xu), xx]]))).
% 43.20/42.71 ncf('1.1.1.1',plain,[-(xx = sdtasdt0(xc, xu)), sdtasdt0(xc, xu) = xx],extension(4 ^ 3,bind([[_120080, _120082], [xx, sdtasdt0(xc, xu)]]))).
% 43.20/42.71 ncf('1.1.1.1.1',plain,[-(sdtasdt0(xc, xu) = xx)],extension(924 ^ 4)).
% 43.20/42.71 ncf('1.1.1.2',plain,[-(xy = sdtasdt0(xc, xv)), sdtasdt0(xc, xv) = xy],extension(4 ^ 3,bind([[_120080, _120082], [xy, sdtasdt0(xc, xv)]]))).
% 43.20/42.71 ncf('1.1.1.2.1',plain,[-(sdtasdt0(xc, xv) = xy)],extension(928 ^ 4)).
% 43.20/42.71 ncf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)) = sdtasdt0(xc, sdtpldt0(xu, xv))), sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv))],extension(4 ^ 2,bind([[_120080, _120082], [sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)), sdtasdt0(xc, sdtpldt0(xu, xv))]]))).
% 43.20/42.71 ncf('1.1.2.1',plain,[-(sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv))), aElement0(xc), aElement0(xu), aElement0(xv)],extension(336 ^ 3,bind([[_130821, _130823, _130825], [xv, xu, xc]]))).
% 43.20/42.71 ncf('1.1.2.1.1',plain,[-(aElement0(xc))],extension(914 ^ 4)).
% 43.20/42.71 ncf('1.1.2.1.2',plain,[-(aElement0(xu))],extension(922 ^ 4)).
% 43.20/42.71 ncf('1.1.2.1.3',plain,[-(aElement0(xv))],extension(926 ^ 4)).
% 43.20/42.71 %-----------------------------------------------------
% 43.20/42.71 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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