TSTP Solution File: RNG103+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 101.50s 98.75s
% Output : Proof 101.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n010.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 20:13:56 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.50/98.75
% 101.50/98.75 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.50/98.75 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.50/98.75 %-----------------------------------------------------
% 101.50/98.75 ncf(matrix, plain, [(940 ^ _114399) ^ [] : [sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))], (166 ^ _114399) ^ [_119819, _119821, _119823, _119825] : [-(sdtasasdt0(_119825, _119821) = sdtasasdt0(_119823, _119819)), _119825 = _119823, _119821 = _119819], (176 ^ _114399) ^ [_120150, _120152] : [_120152 = _120150, -(smndt0(_120152) = smndt0(_120150))], (182 ^ _114399) ^ [_120396, _120398, _120400, _120402] : [-(sdtpldt1(_120402, _120398) = sdtpldt1(_120400, _120396)), _120402 = _120400, _120398 = _120396], (192 ^ _114399) ^ [_120727, _120729] : [_120729 = _120727, -(sbrdtbr0(_120729) = sbrdtbr0(_120727))], (198 ^ _114399) ^ [_120945, _120947] : [_120947 = _120945, -(slsdtgt0(_120947) = slsdtgt0(_120945))], (204 ^ _114399) ^ [_121191, _121193, _121195, _121197] : [-(sdtasdt0(_121197, _121193) = sdtasdt0(_121195, _121191)), _121197 = _121195, _121193 = _121191], (214 ^ _114399) ^ [_121530, _121532, _121534, _121536] : [-(sdtpldt0(_121536, _121532) = sdtpldt0(_121534, _121530)), _121536 = _121534, _121532 = _121530], (2 ^ _114399) ^ [_114543] : [-(_114543 = _114543)], (4 ^ _114399) ^ [_114650, _114652] : [_114652 = _114650, -(_114650 = _114652)], (10 ^ _114399) ^ [_114854, _114856, _114858] : [-(_114858 = _114854), _114858 = _114856, _114856 = _114854], (20 ^ _114399) ^ [_115167, _115169] : [-(aIdeal0(_115167)), _115169 = _115167, aIdeal0(_115169)], (30 ^ _114399) ^ [_115518, _115520, _115522, _115524, _115526, _115528] : [-(sdteqdtlpzmzozddtrp0(_115526, _115522, _115518)), sdteqdtlpzmzozddtrp0(_115528, _115524, _115520), _115528 = _115526, _115524 = _115522, _115520 = _115518], (48 ^ _114399) ^ [_116071, _116073] : [-(aNaturalNumber0(_116071)), _116073 = _116071, aNaturalNumber0(_116073)], (58 ^ _114399) ^ [_116394, _116396, _116398, _116400] : [-(iLess0(_116398, _116394)), iLess0(_116400, _116396), _116400 = _116398, _116396 = _116394], (72 ^ _114399) ^ [_116838, _116840, _116842, _116844] : [-(aDivisorOf0(_116842, _116838)), aDivisorOf0(_116844, _116840), _116844 = _116842, _116840 = _116838], (86 ^ _114399) ^ [_117282, _117284, _117286, _117288] : [-(doDivides0(_117286, _117282)), doDivides0(_117288, _117284), _117288 = _117286, _117284 = _117282], (100 ^ _114399) ^ [_117726, _117728, _117730, _117732] : [-(misRelativelyPrime0(_117730, _117726)), misRelativelyPrime0(_117732, _117728), _117732 = _117730, _117728 = _117726], (114 ^ _114399) ^ [_118198, _118200, _118202, _118204, _118206, _118208] : [-(aGcdOfAnd0(_118206, _118202, _118198)), aGcdOfAnd0(_118208, _118204, _118200), _118208 = _118206, _118204 = _118202, _118200 = _118198], (132 ^ _114399) ^ [_118751, _118753] : [-(aSet0(_118751)), _118753 = _118751, aSet0(_118753)], (156 ^ _114399) ^ [_119470, _119472] : [-(aElement0(_119470)), _119472 = _119470, aElement0(_119472)], (142 ^ _114399) ^ [_119074, _119076, _119078, _119080] : [-(aElementOf0(_119078, _119074)), aElementOf0(_119080, _119076), _119080 = _119078, _119076 = _119074], (224 ^ _114399) ^ [_121905] : [aElement0(_121905), true___, -(true___)], (234 ^ _114399) ^ [] : [-(aElement0(sz00))], (236 ^ _114399) ^ [] : [-(aElement0(sz10))], (238 ^ _114399) ^ [_122266] : [aElement0(_122266), -(aElement0(smndt0(_122266)))], (244 ^ _114399) ^ [_122470, _122472] : [-(aElement0(sdtpldt0(_122472, _122470))), aElement0(_122472), aElement0(_122470)], (254 ^ _114399) ^ [_122769, _122771] : [-(aElement0(sdtasdt0(_122771, _122769))), aElement0(_122771), aElement0(_122769)], (264 ^ _114399) ^ [_123068, _123070] : [-(sdtpldt0(_123070, _123068) = sdtpldt0(_123068, _123070)), aElement0(_123070), aElement0(_123068)], (274 ^ _114399) ^ [_123389, _123391, _123393] : [-(sdtpldt0(sdtpldt0(_123393, _123391), _123389) = sdtpldt0(_123393, sdtpldt0(_123391, _123389))), aElement0(_123393), aElement0(_123391), aElement0(_123389)], (288 ^ _114399) ^ [_123795] : [aElement0(_123795), 291 ^ _114399 : [(292 ^ _114399) ^ [] : [-(sdtpldt0(_123795, sz00) = _123795)], (294 ^ _114399) ^ [] : [-(_123795 = sdtpldt0(sz00, _123795))]]], (296 ^ _114399) ^ [_124068] : [aElement0(_124068), 299 ^ _114399 : [(300 ^ _114399) ^ [] : [-(sdtpldt0(_124068, smndt0(_124068)) = sz00)], (302 ^ _114399) ^ [] : [-(sz00 = sdtpldt0(smndt0(_124068), _124068))]]], (304 ^ _114399) ^ [_124363, _124365] : [-(sdtasdt0(_124365, _124363) = sdtasdt0(_124363, _124365)), aElement0(_124365), aElement0(_124363)], (314 ^ _114399) ^ [_124684, _124686, _124688] : [-(sdtasdt0(sdtasdt0(_124688, _124686), _124684) = sdtasdt0(_124688, sdtasdt0(_124686, _124684))), aElement0(_124688), aElement0(_124686), aElement0(_124684)], (328 ^ _114399) ^ [_125090] : [aElement0(_125090), 331 ^ _114399 : [(332 ^ _114399) ^ [] : [-(sdtasdt0(_125090, sz10) = _125090)], (334 ^ _114399) ^ [] : [-(_125090 = sdtasdt0(sz10, _125090))]]], (336 ^ _114399) ^ [_125391, _125393, _125395] : [347 ^ _114399 : [(348 ^ _114399) ^ [] : [-(sdtasdt0(_125395, sdtpldt0(_125393, _125391)) = sdtpldt0(sdtasdt0(_125395, _125393), sdtasdt0(_125395, _125391)))], (350 ^ _114399) ^ [] : [-(sdtasdt0(sdtpldt0(_125393, _125391), _125395) = sdtpldt0(sdtasdt0(_125393, _125395), sdtasdt0(_125391, _125395)))]], aElement0(_125395), aElement0(_125393), aElement0(_125391)], (352 ^ _114399) ^ [_125910] : [aElement0(_125910), 355 ^ _114399 : [(356 ^ _114399) ^ [] : [-(sdtasdt0(smndt0(sz10), _125910) = smndt0(_125910))], (358 ^ _114399) ^ [] : [-(smndt0(_125910) = sdtasdt0(_125910, smndt0(sz10)))]]], (360 ^ _114399) ^ [_126191] : [aElement0(_126191), 363 ^ _114399 : [(364 ^ _114399) ^ [] : [-(sdtasdt0(_126191, sz00) = sz00)], (366 ^ _114399) ^ [] : [-(sz00 = sdtasdt0(sz00, _126191))]]], (368 ^ _114399) ^ [_126478, _126480] : [aElement0(_126480), aElement0(_126478), sdtasdt0(_126480, _126478) = sz00, -(_126480 = sz00), -(_126478 = sz00)], (386 ^ _114399) ^ [] : [sz10 = sz00], (388 ^ _114399) ^ [_126998] : [aSet0(_126998), true___, -(true___)], (398 ^ _114399) ^ [_127253] : [aSet0(_127253), 401 ^ _114399 : [(402 ^ _114399) ^ [_127383] : [aElementOf0(_127383, _127253), -(aElement0(_127383))]]], (408 ^ _114399) ^ [_127598, _127600] : [aSet0(_127600), aSet0(_127598), -(_127600 = _127598), 420 ^ _114399 : [(421 ^ _114399) ^ [] : [-(aElementOf0(419 ^ [_127598, _127600], _127600))], (423 ^ _114399) ^ [] : [aElementOf0(419 ^ [_127598, _127600], _127598)]], 425 ^ _114399 : [(426 ^ _114399) ^ [] : [-(aElementOf0(424 ^ [_127598, _127600], _127598))], (428 ^ _114399) ^ [] : [aElementOf0(424 ^ [_127598, _127600], _127600)]]], (432 ^ _114399) ^ [_128363, _128365] : [aSet0(_128365), aSet0(_128363), 439 ^ _114399 : [(472 ^ _114399) ^ [_129993] : [-(_129993 = sdtpldt1(_128365, _128363)), aSet0(_129993), 494 ^ _114399 : [(495 ^ _114399) ^ [] : [-(aElementOf0(492 ^ [_128363, _128365, _129993], _128365))], (497 ^ _114399) ^ [] : [-(aElementOf0(493 ^ [_128363, _128365, _129993], _128363))], (499 ^ _114399) ^ [] : [-(sdtpldt0(492 ^ [_128363, _128365, _129993], 493 ^ [_128363, _128365, _129993]) = 477 ^ [_128363, _128365, _129993])], (501 ^ _114399) ^ [] : [aElementOf0(477 ^ [_128363, _128365, _129993], _129993)]], 480 ^ _114399 : [(481 ^ _114399) ^ [] : [-(aElementOf0(477 ^ [_128363, _128365, _129993], _129993))], (483 ^ _114399) ^ [_130422, _130424] : [aElementOf0(_130424, _128365), aElementOf0(_130422, _128363), sdtpldt0(_130424, _130422) = 477 ^ [_128363, _128365, _129993]]]], (440 ^ _114399) ^ [_128658] : [_128658 = sdtpldt1(_128365, _128363), 443 ^ _114399 : [(444 ^ _114399) ^ [] : [-(aSet0(_128658))], (446 ^ _114399) ^ [_128935] : [aElementOf0(_128935, _128658), 451 ^ _114399 : [(452 ^ _114399) ^ [] : [-(aElementOf0(449 ^ [_128363, _128365, _128658, _128935], _128365))], (454 ^ _114399) ^ [] : [-(aElementOf0(450 ^ [_128363, _128365, _128658, _128935], _128363))], (456 ^ _114399) ^ [] : [-(sdtpldt0(449 ^ [_128363, _128365, _128658, _128935], 450 ^ [_128363, _128365, _128658, _128935]) = _128935)]]], (458 ^ _114399) ^ [_129495] : [-(aElementOf0(_129495, _128658)), 459 ^ _114399 : [(460 ^ _114399) ^ [_129625, _129627] : [aElementOf0(_129627, _128365), aElementOf0(_129625, _128363), sdtpldt0(_129627, _129625) = _129495]]]]]]], (505 ^ _114399) ^ [_131343, _131345] : [aSet0(_131345), aSet0(_131343), 512 ^ _114399 : [(537 ^ _114399) ^ [_132422] : [-(_132422 = sdtasasdt0(_131345, _131343)), aSet0(_132422), 553 ^ _114399 : [(554 ^ _114399) ^ [] : [-(aElementOf0(542 ^ [_131343, _131345, _132422], _131345))], (556 ^ _114399) ^ [] : [-(aElementOf0(542 ^ [_131343, _131345, _132422], _131343))], (558 ^ _114399) ^ [] : [aElementOf0(542 ^ [_131343, _131345, _132422], _132422)]], 545 ^ _114399 : [(546 ^ _114399) ^ [] : [-(aElementOf0(542 ^ [_131343, _131345, _132422], _132422))], (548 ^ _114399) ^ [] : [aElementOf0(542 ^ [_131343, _131345, _132422], _131345), aElementOf0(542 ^ [_131343, _131345, _132422], _131343)]]], (513 ^ _114399) ^ [_131619] : [_131619 = sdtasasdt0(_131345, _131343), 516 ^ _114399 : [(517 ^ _114399) ^ [] : [-(aSet0(_131619))], (519 ^ _114399) ^ [_131877] : [aElementOf0(_131877, _131619), 522 ^ _114399 : [(523 ^ _114399) ^ [] : [-(aElementOf0(_131877, _131345))], (525 ^ _114399) ^ [] : [-(aElementOf0(_131877, _131343))]]], (527 ^ _114399) ^ [_132136] : [-(aElementOf0(_132136, _131619)), aElementOf0(_132136, _131345), aElementOf0(_132136, _131343)]]]]], (584 ^ _114399) ^ [_134087] : [-(aIdeal0(_134087)), aSet0(_134087), 590 ^ _114399 : [(591 ^ _114399) ^ [] : [-(aElementOf0(589 ^ [_134087], _134087))], (593 ^ _114399) ^ [] : [595 ^ _114399 : [(596 ^ _114399) ^ [] : [-(aElementOf0(594 ^ [_134087], _134087))], (598 ^ _114399) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_134087], 594 ^ [_134087]), _134087)]], 600 ^ _114399 : [(601 ^ _114399) ^ [] : [-(aElement0(599 ^ [_134087]))], (603 ^ _114399) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_134087], 589 ^ [_134087]), _134087)]]]]], (562 ^ _114399) ^ [_133292] : [aIdeal0(_133292), 565 ^ _114399 : [(566 ^ _114399) ^ [] : [-(aSet0(_133292))], (568 ^ _114399) ^ [_133524] : [aElementOf0(_133524, _133292), 571 ^ _114399 : [(572 ^ _114399) ^ [_133705] : [aElementOf0(_133705, _133292), -(aElementOf0(sdtpldt0(_133524, _133705), _133292))], (578 ^ _114399) ^ [_133897] : [aElement0(_133897), -(aElementOf0(sdtasdt0(_133897, _133524), _133292))]]]]], (607 ^ _114399) ^ [_134927, _134929] : [-(aIdeal0(sdtpldt1(_134929, _134927))), aIdeal0(_134929), aIdeal0(_134927)], (617 ^ _114399) ^ [_135226, _135228] : [-(aIdeal0(sdtasasdt0(_135228, _135226))), aIdeal0(_135228), aIdeal0(_135226)], (627 ^ _114399) ^ [_135539, _135541, _135543] : [aElement0(_135543), aElement0(_135541), aIdeal0(_135539), 638 ^ _114399 : [(639 ^ _114399) ^ [] : [sdteqdtlpzmzozddtrp0(_135543, _135541, _135539), -(aElementOf0(sdtpldt0(_135543, smndt0(_135541)), _135539))], (645 ^ _114399) ^ [] : [aElementOf0(sdtpldt0(_135543, smndt0(_135541)), _135539), -(sdteqdtlpzmzozddtrp0(_135543, _135541, _135539))]]], (651 ^ _114399) ^ [_136217, _136219] : [aIdeal0(_136219), aIdeal0(_136217), 661 ^ _114399 : [(662 ^ _114399) ^ [] : [-(aElement0(660 ^ [_136217, _136219]))], (664 ^ _114399) ^ [] : [aElementOf0(660 ^ [_136217, _136219], sdtpldt1(_136219, _136217))]], 665 ^ _114399 : [(666 ^ _114399) ^ [_136715, _136717] : [674 ^ _114399 : [(675 ^ _114399) ^ [] : [-(aElement0(673 ^ [_136217, _136219, _136715, _136717]))], (677 ^ _114399) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_136217, _136219, _136715, _136717], _136717, _136219))], (679 ^ _114399) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_136217, _136219, _136715, _136717], _136715, _136217))]], aElement0(_136717), aElement0(_136715)]]], (681 ^ _114399) ^ [_137295] : [aNaturalNumber0(_137295), true___, -(true___)], (691 ^ _114399) ^ [_137550] : [-(aNaturalNumber0(sbrdtbr0(_137550))), aElement0(_137550), -(_137550 = sz00)], (701 ^ _114399) ^ [_137842, _137844] : [aNaturalNumber0(_137844), aNaturalNumber0(_137842), iLess0(_137844, _137842), true___, -(true___)], (719 ^ _114399) ^ [_138302, _138304] : [732 ^ _114399 : [(733 ^ _114399) ^ [] : [-(aElement0(730 ^ [_138302, _138304]))], (735 ^ _114399) ^ [] : [-(aElement0(731 ^ [_138302, _138304]))], (737 ^ _114399) ^ [] : [-(_138304 = sdtpldt0(sdtasdt0(730 ^ [_138302, _138304], _138302), 731 ^ [_138302, _138304]))], (739 ^ _114399) ^ [] : [-(731 ^ [_138302, _138304] = sz00), -(iLess0(sbrdtbr0(731 ^ [_138302, _138304]), sbrdtbr0(_138302)))]], aElement0(_138304), aElement0(_138302), -(_138302 = sz00)], (745 ^ _114399) ^ [_139249, _139251] : [aElement0(_139251), aElement0(_139249), 752 ^ _114399 : [(753 ^ _114399) ^ [] : [doDivides0(_139251, _139249), 757 ^ _114399 : [(758 ^ _114399) ^ [] : [-(aElement0(756 ^ [_139249, _139251]))], (760 ^ _114399) ^ [] : [-(sdtasdt0(_139251, 756 ^ [_139249, _139251]) = _139249)]]], (762 ^ _114399) ^ [] : [-(doDivides0(_139251, _139249)), 763 ^ _114399 : [(764 ^ _114399) ^ [_139809] : [aElement0(_139809), sdtasdt0(_139251, _139809) = _139249]]]]], (772 ^ _114399) ^ [_140078] : [aElement0(_140078), 775 ^ _114399 : [(776 ^ _114399) ^ [_140243] : [aDivisorOf0(_140243, _140078), 779 ^ _114399 : [(780 ^ _114399) ^ [] : [-(aElement0(_140243))], (782 ^ _114399) ^ [] : [-(doDivides0(_140243, _140078))]]], (784 ^ _114399) ^ [_140480] : [-(aDivisorOf0(_140480, _140078)), aElement0(_140480), doDivides0(_140480, _140078)]]], (794 ^ _114399) ^ [_140786, _140788] : [aElement0(_140788), aElement0(_140786), 801 ^ _114399 : [(802 ^ _114399) ^ [_141067] : [aGcdOfAnd0(_141067, _140788, _140786), 805 ^ _114399 : [(806 ^ _114399) ^ [] : [-(aDivisorOf0(_141067, _140788))], (808 ^ _114399) ^ [] : [-(aDivisorOf0(_141067, _140786))], (810 ^ _114399) ^ [_141368] : [-(doDivides0(_141368, _141067)), aDivisorOf0(_141368, _140788), aDivisorOf0(_141368, _140786)]]], (820 ^ _114399) ^ [_141654] : [-(aGcdOfAnd0(_141654, _140788, _140786)), aDivisorOf0(_141654, _140788), aDivisorOf0(_141654, _140786), 830 ^ _114399 : [(831 ^ _114399) ^ [] : [-(aDivisorOf0(829 ^ [_140786, _140788, _141654], _140788))], (833 ^ _114399) ^ [] : [-(aDivisorOf0(829 ^ [_140786, _140788, _141654], _140786))], (835 ^ _114399) ^ [] : [doDivides0(829 ^ [_140786, _140788, _141654], _141654)]]]]], (839 ^ _114399) ^ [_142319, _142321] : [aElement0(_142321), aElement0(_142319), 846 ^ _114399 : [(847 ^ _114399) ^ [] : [misRelativelyPrime0(_142321, _142319), -(aGcdOfAnd0(sz10, _142321, _142319))], (853 ^ _114399) ^ [] : [aGcdOfAnd0(sz10, _142321, _142319), -(misRelativelyPrime0(_142321, _142319))]]], (914 ^ _114399) ^ [] : [-(aElement0(xc))], (917 ^ _114399) ^ [] : [-(aElement0(915 ^ []))], (919 ^ _114399) ^ [] : [-(sdtasdt0(xc, 915 ^ []) = xx)], (921 ^ _114399) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _114399) ^ [] : [-(aElement0(922 ^ []))], (926 ^ _114399) ^ [] : [-(sdtasdt0(xc, 922 ^ []) = xy)], (928 ^ _114399) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (930 ^ _114399) ^ [] : [-(aElement0(xz))], (932 ^ _114399) ^ [] : [-(aElement0(xu))], (934 ^ _114399) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (936 ^ _114399) ^ [] : [-(aElement0(xv))], (938 ^ _114399) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (859 ^ _114399) ^ [_142855] : [aElement0(_142855), 862 ^ _114399 : [(888 ^ _114399) ^ [_143979] : [-(_143979 = slsdtgt0(_142855)), aSet0(_143979), 905 ^ _114399 : [(906 ^ _114399) ^ [] : [-(aElement0(904 ^ [_142855, _143979]))], (908 ^ _114399) ^ [] : [-(sdtasdt0(_142855, 904 ^ [_142855, _143979]) = 893 ^ [_142855, _143979])], (910 ^ _114399) ^ [] : [aElementOf0(893 ^ [_142855, _143979], _143979)]], 896 ^ _114399 : [(897 ^ _114399) ^ [] : [-(aElementOf0(893 ^ [_142855, _143979], _143979))], (899 ^ _114399) ^ [_144351] : [aElement0(_144351), sdtasdt0(_142855, _144351) = 893 ^ [_142855, _143979]]]], (863 ^ _114399) ^ [_143046] : [_143046 = slsdtgt0(_142855), 866 ^ _114399 : [(867 ^ _114399) ^ [] : [-(aSet0(_143046))], (869 ^ _114399) ^ [_143301] : [aElementOf0(_143301, _143046), 873 ^ _114399 : [(874 ^ _114399) ^ [] : [-(aElement0(872 ^ [_142855, _143046, _143301]))], (876 ^ _114399) ^ [] : [-(sdtasdt0(_142855, 872 ^ [_142855, _143046, _143301]) = _143301)]]], (878 ^ _114399) ^ [_143634] : [-(aElementOf0(_143634, _143046)), 879 ^ _114399 : [(880 ^ _114399) ^ [_143734] : [aElement0(_143734), sdtasdt0(_142855, _143734) = _143634]]]]]]]], input).
% 101.50/98.75 ncf('1',plain,[sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))],start(940 ^ 0)).
% 101.50/98.75 ncf('1.1',plain,[-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))), sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy)],extension(4 ^ 1,bind([[_114650, _114652], [sdtpldt0(xx, xy), sdtasdt0(xc, sdtpldt0(xu, xv))]]))).
% 101.50/98.75 ncf('1.1.1',plain,[-(sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy)), sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)), sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)) = sdtpldt0(xx, xy)],extension(10 ^ 2,bind([[_114854, _114856, _114858], [sdtpldt0(xx, xy), sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)), sdtasdt0(xc, sdtpldt0(xu, xv))]]))).
% 101.50/98.75 ncf('1.1.1.1',plain,[-(sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv))), aElement0(xc), aElement0(xu), aElement0(xv)],extension(336 ^ 3,bind([[_125391, _125393, _125395], [xv, xu, xc]]))).
% 101.50/98.75 ncf('1.1.1.1.1',plain,[-(aElement0(xc))],extension(914 ^ 4)).
% 101.50/98.75 ncf('1.1.1.1.2',plain,[-(aElement0(xu))],extension(932 ^ 4)).
% 101.50/98.75 ncf('1.1.1.1.3',plain,[-(aElement0(xv))],extension(936 ^ 4)).
% 101.50/98.75 ncf('1.1.1.2',plain,[-(sdtpldt0(sdtasdt0(xc, xu), sdtasdt0(xc, xv)) = sdtpldt0(xx, xy)), sdtasdt0(xc, xu) = xx, sdtasdt0(xc, xv) = xy],extension(214 ^ 3,bind([[_121530, _121532, _121534, _121536], [xy, sdtasdt0(xc, xv), xx, sdtasdt0(xc, xu)]]))).
% 101.50/98.75 ncf('1.1.1.2.1',plain,[-(sdtasdt0(xc, xu) = xx)],extension(934 ^ 4)).
% 101.50/98.75 ncf('1.1.1.2.2',plain,[-(sdtasdt0(xc, xv) = xy)],extension(938 ^ 4)).
% 101.50/98.75 %-----------------------------------------------------
% 101.50/98.75 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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