TSTP Solution File: RNG105+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG105+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 101.33s 98.68s
% Output : Proof 101.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG105+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.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 20:24:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.33/98.68
% 101.33/98.68 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.33/98.68 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.33/98.68 %-----------------------------------------------------
% 101.33/98.68 ncf(matrix, plain, [(944 ^ _118212) ^ [] : [945 ^ _118212 : [(952 ^ _118212) ^ [] : [aElementOf0(sdtpldt0(xx, xy), slsdtgt0(xc))], (946 ^ _118212) ^ [_149910] : [aElement0(_149910), sdtasdt0(xc, _149910) = sdtpldt0(xx, xy)]], 953 ^ _118212 : [(960 ^ _118212) ^ [] : [aElementOf0(sdtasdt0(xz, xx), slsdtgt0(xc))], (954 ^ _118212) ^ [_150137] : [aElement0(_150137), sdtasdt0(xc, _150137) = sdtasdt0(xz, xx)]]], (166 ^ _118212) ^ [_123632, _123634, _123636, _123638] : [-(sdtasasdt0(_123638, _123634) = sdtasasdt0(_123636, _123632)), _123638 = _123636, _123634 = _123632], (176 ^ _118212) ^ [_123963, _123965] : [_123965 = _123963, -(smndt0(_123965) = smndt0(_123963))], (182 ^ _118212) ^ [_124209, _124211, _124213, _124215] : [-(sdtpldt1(_124215, _124211) = sdtpldt1(_124213, _124209)), _124215 = _124213, _124211 = _124209], (192 ^ _118212) ^ [_124540, _124542] : [_124542 = _124540, -(sbrdtbr0(_124542) = sbrdtbr0(_124540))], (198 ^ _118212) ^ [_124786, _124788, _124790, _124792] : [-(sdtpldt0(_124792, _124788) = sdtpldt0(_124790, _124786)), _124792 = _124790, _124788 = _124786], (218 ^ _118212) ^ [_125456, _125458] : [_125458 = _125456, -(slsdtgt0(_125458) = slsdtgt0(_125456))], (208 ^ _118212) ^ [_125145, _125147, _125149, _125151] : [-(sdtasdt0(_125151, _125147) = sdtasdt0(_125149, _125145)), _125151 = _125149, _125147 = _125145], (2 ^ _118212) ^ [_118356] : [-(_118356 = _118356)], (4 ^ _118212) ^ [_118463, _118465] : [_118465 = _118463, -(_118463 = _118465)], (10 ^ _118212) ^ [_118667, _118669, _118671] : [-(_118671 = _118667), _118671 = _118669, _118669 = _118667], (20 ^ _118212) ^ [_118980, _118982] : [-(aIdeal0(_118980)), _118982 = _118980, aIdeal0(_118982)], (30 ^ _118212) ^ [_119331, _119333, _119335, _119337, _119339, _119341] : [-(sdteqdtlpzmzozddtrp0(_119339, _119335, _119331)), sdteqdtlpzmzozddtrp0(_119341, _119337, _119333), _119341 = _119339, _119337 = _119335, _119333 = _119331], (48 ^ _118212) ^ [_119884, _119886] : [-(aNaturalNumber0(_119884)), _119886 = _119884, aNaturalNumber0(_119886)], (58 ^ _118212) ^ [_120207, _120209, _120211, _120213] : [-(iLess0(_120211, _120207)), iLess0(_120213, _120209), _120213 = _120211, _120209 = _120207], (72 ^ _118212) ^ [_120651, _120653, _120655, _120657] : [-(aDivisorOf0(_120655, _120651)), aDivisorOf0(_120657, _120653), _120657 = _120655, _120653 = _120651], (86 ^ _118212) ^ [_121095, _121097, _121099, _121101] : [-(doDivides0(_121099, _121095)), doDivides0(_121101, _121097), _121101 = _121099, _121097 = _121095], (100 ^ _118212) ^ [_121539, _121541, _121543, _121545] : [-(misRelativelyPrime0(_121543, _121539)), misRelativelyPrime0(_121545, _121541), _121545 = _121543, _121541 = _121539], (114 ^ _118212) ^ [_122011, _122013, _122015, _122017, _122019, _122021] : [-(aGcdOfAnd0(_122019, _122015, _122011)), aGcdOfAnd0(_122021, _122017, _122013), _122021 = _122019, _122017 = _122015, _122013 = _122011], (132 ^ _118212) ^ [_122564, _122566] : [-(aSet0(_122564)), _122566 = _122564, aSet0(_122566)], (142 ^ _118212) ^ [_122859, _122861] : [-(aElement0(_122859)), _122861 = _122859, aElement0(_122861)], (152 ^ _118212) ^ [_123162, _123164, _123166, _123168] : [-(aElementOf0(_123166, _123162)), aElementOf0(_123168, _123164), _123168 = _123166, _123164 = _123162], (224 ^ _118212) ^ [_125718] : [aElement0(_125718), true___, -(true___)], (234 ^ _118212) ^ [] : [-(aElement0(sz00))], (236 ^ _118212) ^ [] : [-(aElement0(sz10))], (238 ^ _118212) ^ [_126079] : [aElement0(_126079), -(aElement0(smndt0(_126079)))], (244 ^ _118212) ^ [_126283, _126285] : [-(aElement0(sdtpldt0(_126285, _126283))), aElement0(_126285), aElement0(_126283)], (254 ^ _118212) ^ [_126582, _126584] : [-(aElement0(sdtasdt0(_126584, _126582))), aElement0(_126584), aElement0(_126582)], (264 ^ _118212) ^ [_126881, _126883] : [-(sdtpldt0(_126883, _126881) = sdtpldt0(_126881, _126883)), aElement0(_126883), aElement0(_126881)], (274 ^ _118212) ^ [_127202, _127204, _127206] : [-(sdtpldt0(sdtpldt0(_127206, _127204), _127202) = sdtpldt0(_127206, sdtpldt0(_127204, _127202))), aElement0(_127206), aElement0(_127204), aElement0(_127202)], (288 ^ _118212) ^ [_127608] : [aElement0(_127608), 291 ^ _118212 : [(292 ^ _118212) ^ [] : [-(sdtpldt0(_127608, sz00) = _127608)], (294 ^ _118212) ^ [] : [-(_127608 = sdtpldt0(sz00, _127608))]]], (296 ^ _118212) ^ [_127881] : [aElement0(_127881), 299 ^ _118212 : [(300 ^ _118212) ^ [] : [-(sdtpldt0(_127881, smndt0(_127881)) = sz00)], (302 ^ _118212) ^ [] : [-(sz00 = sdtpldt0(smndt0(_127881), _127881))]]], (304 ^ _118212) ^ [_128176, _128178] : [-(sdtasdt0(_128178, _128176) = sdtasdt0(_128176, _128178)), aElement0(_128178), aElement0(_128176)], (314 ^ _118212) ^ [_128497, _128499, _128501] : [-(sdtasdt0(sdtasdt0(_128501, _128499), _128497) = sdtasdt0(_128501, sdtasdt0(_128499, _128497))), aElement0(_128501), aElement0(_128499), aElement0(_128497)], (328 ^ _118212) ^ [_128903] : [aElement0(_128903), 331 ^ _118212 : [(332 ^ _118212) ^ [] : [-(sdtasdt0(_128903, sz10) = _128903)], (334 ^ _118212) ^ [] : [-(_128903 = sdtasdt0(sz10, _128903))]]], (336 ^ _118212) ^ [_129204, _129206, _129208] : [347 ^ _118212 : [(348 ^ _118212) ^ [] : [-(sdtasdt0(_129208, sdtpldt0(_129206, _129204)) = sdtpldt0(sdtasdt0(_129208, _129206), sdtasdt0(_129208, _129204)))], (350 ^ _118212) ^ [] : [-(sdtasdt0(sdtpldt0(_129206, _129204), _129208) = sdtpldt0(sdtasdt0(_129206, _129208), sdtasdt0(_129204, _129208)))]], aElement0(_129208), aElement0(_129206), aElement0(_129204)], (352 ^ _118212) ^ [_129723] : [aElement0(_129723), 355 ^ _118212 : [(356 ^ _118212) ^ [] : [-(sdtasdt0(smndt0(sz10), _129723) = smndt0(_129723))], (358 ^ _118212) ^ [] : [-(smndt0(_129723) = sdtasdt0(_129723, smndt0(sz10)))]]], (360 ^ _118212) ^ [_130004] : [aElement0(_130004), 363 ^ _118212 : [(364 ^ _118212) ^ [] : [-(sdtasdt0(_130004, sz00) = sz00)], (366 ^ _118212) ^ [] : [-(sz00 = sdtasdt0(sz00, _130004))]]], (368 ^ _118212) ^ [_130291, _130293] : [aElement0(_130293), aElement0(_130291), sdtasdt0(_130293, _130291) = sz00, -(_130293 = sz00), -(_130291 = sz00)], (386 ^ _118212) ^ [] : [sz10 = sz00], (388 ^ _118212) ^ [_130811] : [aSet0(_130811), true___, -(true___)], (398 ^ _118212) ^ [_131066] : [aSet0(_131066), 401 ^ _118212 : [(402 ^ _118212) ^ [_131196] : [aElementOf0(_131196, _131066), -(aElement0(_131196))]]], (408 ^ _118212) ^ [_131411, _131413] : [aSet0(_131413), aSet0(_131411), -(_131413 = _131411), 420 ^ _118212 : [(421 ^ _118212) ^ [] : [-(aElementOf0(419 ^ [_131411, _131413], _131413))], (423 ^ _118212) ^ [] : [aElementOf0(419 ^ [_131411, _131413], _131411)]], 425 ^ _118212 : [(426 ^ _118212) ^ [] : [-(aElementOf0(424 ^ [_131411, _131413], _131411))], (428 ^ _118212) ^ [] : [aElementOf0(424 ^ [_131411, _131413], _131413)]]], (432 ^ _118212) ^ [_132176, _132178] : [aSet0(_132178), aSet0(_132176), 439 ^ _118212 : [(472 ^ _118212) ^ [_133806] : [-(_133806 = sdtpldt1(_132178, _132176)), aSet0(_133806), 494 ^ _118212 : [(495 ^ _118212) ^ [] : [-(aElementOf0(492 ^ [_132176, _132178, _133806], _132178))], (497 ^ _118212) ^ [] : [-(aElementOf0(493 ^ [_132176, _132178, _133806], _132176))], (499 ^ _118212) ^ [] : [-(sdtpldt0(492 ^ [_132176, _132178, _133806], 493 ^ [_132176, _132178, _133806]) = 477 ^ [_132176, _132178, _133806])], (501 ^ _118212) ^ [] : [aElementOf0(477 ^ [_132176, _132178, _133806], _133806)]], 480 ^ _118212 : [(481 ^ _118212) ^ [] : [-(aElementOf0(477 ^ [_132176, _132178, _133806], _133806))], (483 ^ _118212) ^ [_134235, _134237] : [aElementOf0(_134237, _132178), aElementOf0(_134235, _132176), sdtpldt0(_134237, _134235) = 477 ^ [_132176, _132178, _133806]]]], (440 ^ _118212) ^ [_132471] : [_132471 = sdtpldt1(_132178, _132176), 443 ^ _118212 : [(444 ^ _118212) ^ [] : [-(aSet0(_132471))], (446 ^ _118212) ^ [_132748] : [aElementOf0(_132748, _132471), 451 ^ _118212 : [(452 ^ _118212) ^ [] : [-(aElementOf0(449 ^ [_132176, _132178, _132471, _132748], _132178))], (454 ^ _118212) ^ [] : [-(aElementOf0(450 ^ [_132176, _132178, _132471, _132748], _132176))], (456 ^ _118212) ^ [] : [-(sdtpldt0(449 ^ [_132176, _132178, _132471, _132748], 450 ^ [_132176, _132178, _132471, _132748]) = _132748)]]], (458 ^ _118212) ^ [_133308] : [-(aElementOf0(_133308, _132471)), 459 ^ _118212 : [(460 ^ _118212) ^ [_133438, _133440] : [aElementOf0(_133440, _132178), aElementOf0(_133438, _132176), sdtpldt0(_133440, _133438) = _133308]]]]]]], (505 ^ _118212) ^ [_135156, _135158] : [aSet0(_135158), aSet0(_135156), 512 ^ _118212 : [(537 ^ _118212) ^ [_136235] : [-(_136235 = sdtasasdt0(_135158, _135156)), aSet0(_136235), 553 ^ _118212 : [(554 ^ _118212) ^ [] : [-(aElementOf0(542 ^ [_135156, _135158, _136235], _135158))], (556 ^ _118212) ^ [] : [-(aElementOf0(542 ^ [_135156, _135158, _136235], _135156))], (558 ^ _118212) ^ [] : [aElementOf0(542 ^ [_135156, _135158, _136235], _136235)]], 545 ^ _118212 : [(546 ^ _118212) ^ [] : [-(aElementOf0(542 ^ [_135156, _135158, _136235], _136235))], (548 ^ _118212) ^ [] : [aElementOf0(542 ^ [_135156, _135158, _136235], _135158), aElementOf0(542 ^ [_135156, _135158, _136235], _135156)]]], (513 ^ _118212) ^ [_135432] : [_135432 = sdtasasdt0(_135158, _135156), 516 ^ _118212 : [(517 ^ _118212) ^ [] : [-(aSet0(_135432))], (519 ^ _118212) ^ [_135690] : [aElementOf0(_135690, _135432), 522 ^ _118212 : [(523 ^ _118212) ^ [] : [-(aElementOf0(_135690, _135158))], (525 ^ _118212) ^ [] : [-(aElementOf0(_135690, _135156))]]], (527 ^ _118212) ^ [_135949] : [-(aElementOf0(_135949, _135432)), aElementOf0(_135949, _135158), aElementOf0(_135949, _135156)]]]]], (584 ^ _118212) ^ [_137900] : [-(aIdeal0(_137900)), aSet0(_137900), 590 ^ _118212 : [(591 ^ _118212) ^ [] : [-(aElementOf0(589 ^ [_137900], _137900))], (593 ^ _118212) ^ [] : [595 ^ _118212 : [(596 ^ _118212) ^ [] : [-(aElementOf0(594 ^ [_137900], _137900))], (598 ^ _118212) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_137900], 594 ^ [_137900]), _137900)]], 600 ^ _118212 : [(601 ^ _118212) ^ [] : [-(aElement0(599 ^ [_137900]))], (603 ^ _118212) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_137900], 589 ^ [_137900]), _137900)]]]]], (562 ^ _118212) ^ [_137105] : [aIdeal0(_137105), 565 ^ _118212 : [(566 ^ _118212) ^ [] : [-(aSet0(_137105))], (568 ^ _118212) ^ [_137337] : [aElementOf0(_137337, _137105), 571 ^ _118212 : [(572 ^ _118212) ^ [_137518] : [aElementOf0(_137518, _137105), -(aElementOf0(sdtpldt0(_137337, _137518), _137105))], (578 ^ _118212) ^ [_137710] : [aElement0(_137710), -(aElementOf0(sdtasdt0(_137710, _137337), _137105))]]]]], (607 ^ _118212) ^ [_138740, _138742] : [-(aIdeal0(sdtpldt1(_138742, _138740))), aIdeal0(_138742), aIdeal0(_138740)], (617 ^ _118212) ^ [_139039, _139041] : [-(aIdeal0(sdtasasdt0(_139041, _139039))), aIdeal0(_139041), aIdeal0(_139039)], (627 ^ _118212) ^ [_139352, _139354, _139356] : [aElement0(_139356), aElement0(_139354), aIdeal0(_139352), 638 ^ _118212 : [(639 ^ _118212) ^ [] : [sdteqdtlpzmzozddtrp0(_139356, _139354, _139352), -(aElementOf0(sdtpldt0(_139356, smndt0(_139354)), _139352))], (645 ^ _118212) ^ [] : [aElementOf0(sdtpldt0(_139356, smndt0(_139354)), _139352), -(sdteqdtlpzmzozddtrp0(_139356, _139354, _139352))]]], (651 ^ _118212) ^ [_140030, _140032] : [aIdeal0(_140032), aIdeal0(_140030), 661 ^ _118212 : [(662 ^ _118212) ^ [] : [-(aElement0(660 ^ [_140030, _140032]))], (664 ^ _118212) ^ [] : [aElementOf0(660 ^ [_140030, _140032], sdtpldt1(_140032, _140030))]], 665 ^ _118212 : [(666 ^ _118212) ^ [_140528, _140530] : [674 ^ _118212 : [(675 ^ _118212) ^ [] : [-(aElement0(673 ^ [_140030, _140032, _140528, _140530]))], (677 ^ _118212) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_140030, _140032, _140528, _140530], _140530, _140032))], (679 ^ _118212) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_140030, _140032, _140528, _140530], _140528, _140030))]], aElement0(_140530), aElement0(_140528)]]], (681 ^ _118212) ^ [_141108] : [aNaturalNumber0(_141108), true___, -(true___)], (691 ^ _118212) ^ [_141363] : [-(aNaturalNumber0(sbrdtbr0(_141363))), aElement0(_141363), -(_141363 = sz00)], (701 ^ _118212) ^ [_141655, _141657] : [aNaturalNumber0(_141657), aNaturalNumber0(_141655), iLess0(_141657, _141655), true___, -(true___)], (719 ^ _118212) ^ [_142115, _142117] : [732 ^ _118212 : [(733 ^ _118212) ^ [] : [-(aElement0(730 ^ [_142115, _142117]))], (735 ^ _118212) ^ [] : [-(aElement0(731 ^ [_142115, _142117]))], (737 ^ _118212) ^ [] : [-(_142117 = sdtpldt0(sdtasdt0(730 ^ [_142115, _142117], _142115), 731 ^ [_142115, _142117]))], (739 ^ _118212) ^ [] : [-(731 ^ [_142115, _142117] = sz00), -(iLess0(sbrdtbr0(731 ^ [_142115, _142117]), sbrdtbr0(_142115)))]], aElement0(_142117), aElement0(_142115), -(_142115 = sz00)], (745 ^ _118212) ^ [_143062, _143064] : [aElement0(_143064), aElement0(_143062), 752 ^ _118212 : [(753 ^ _118212) ^ [] : [doDivides0(_143064, _143062), 757 ^ _118212 : [(758 ^ _118212) ^ [] : [-(aElement0(756 ^ [_143062, _143064]))], (760 ^ _118212) ^ [] : [-(sdtasdt0(_143064, 756 ^ [_143062, _143064]) = _143062)]]], (762 ^ _118212) ^ [] : [-(doDivides0(_143064, _143062)), 763 ^ _118212 : [(764 ^ _118212) ^ [_143622] : [aElement0(_143622), sdtasdt0(_143064, _143622) = _143062]]]]], (772 ^ _118212) ^ [_143891] : [aElement0(_143891), 775 ^ _118212 : [(776 ^ _118212) ^ [_144056] : [aDivisorOf0(_144056, _143891), 779 ^ _118212 : [(780 ^ _118212) ^ [] : [-(aElement0(_144056))], (782 ^ _118212) ^ [] : [-(doDivides0(_144056, _143891))]]], (784 ^ _118212) ^ [_144293] : [-(aDivisorOf0(_144293, _143891)), aElement0(_144293), doDivides0(_144293, _143891)]]], (794 ^ _118212) ^ [_144599, _144601] : [aElement0(_144601), aElement0(_144599), 801 ^ _118212 : [(802 ^ _118212) ^ [_144880] : [aGcdOfAnd0(_144880, _144601, _144599), 805 ^ _118212 : [(806 ^ _118212) ^ [] : [-(aDivisorOf0(_144880, _144601))], (808 ^ _118212) ^ [] : [-(aDivisorOf0(_144880, _144599))], (810 ^ _118212) ^ [_145181] : [-(doDivides0(_145181, _144880)), aDivisorOf0(_145181, _144601), aDivisorOf0(_145181, _144599)]]], (820 ^ _118212) ^ [_145467] : [-(aGcdOfAnd0(_145467, _144601, _144599)), aDivisorOf0(_145467, _144601), aDivisorOf0(_145467, _144599), 830 ^ _118212 : [(831 ^ _118212) ^ [] : [-(aDivisorOf0(829 ^ [_144599, _144601, _145467], _144601))], (833 ^ _118212) ^ [] : [-(aDivisorOf0(829 ^ [_144599, _144601, _145467], _144599))], (835 ^ _118212) ^ [] : [doDivides0(829 ^ [_144599, _144601, _145467], _145467)]]]]], (839 ^ _118212) ^ [_146132, _146134] : [aElement0(_146134), aElement0(_146132), 846 ^ _118212 : [(847 ^ _118212) ^ [] : [misRelativelyPrime0(_146134, _146132), -(aGcdOfAnd0(sz10, _146134, _146132))], (853 ^ _118212) ^ [] : [aGcdOfAnd0(sz10, _146134, _146132), -(misRelativelyPrime0(_146134, _146132))]]], (914 ^ _118212) ^ [] : [-(aElement0(xc))], (917 ^ _118212) ^ [] : [-(aElement0(915 ^ []))], (919 ^ _118212) ^ [] : [-(sdtasdt0(xc, 915 ^ []) = xx)], (921 ^ _118212) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _118212) ^ [] : [-(aElement0(922 ^ []))], (926 ^ _118212) ^ [] : [-(sdtasdt0(xc, 922 ^ []) = xy)], (928 ^ _118212) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (930 ^ _118212) ^ [] : [-(aElement0(xz))], (932 ^ _118212) ^ [] : [-(aElement0(xu))], (934 ^ _118212) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (936 ^ _118212) ^ [] : [-(aElement0(xv))], (938 ^ _118212) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (940 ^ _118212) ^ [] : [-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))], (942 ^ _118212) ^ [] : [-(sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz)))], (859 ^ _118212) ^ [_146668] : [aElement0(_146668), 862 ^ _118212 : [(888 ^ _118212) ^ [_147792] : [-(_147792 = slsdtgt0(_146668)), aSet0(_147792), 905 ^ _118212 : [(906 ^ _118212) ^ [] : [-(aElement0(904 ^ [_146668, _147792]))], (908 ^ _118212) ^ [] : [-(sdtasdt0(_146668, 904 ^ [_146668, _147792]) = 893 ^ [_146668, _147792])], (910 ^ _118212) ^ [] : [aElementOf0(893 ^ [_146668, _147792], _147792)]], 896 ^ _118212 : [(897 ^ _118212) ^ [] : [-(aElementOf0(893 ^ [_146668, _147792], _147792))], (899 ^ _118212) ^ [_148164] : [aElement0(_148164), sdtasdt0(_146668, _148164) = 893 ^ [_146668, _147792]]]], (863 ^ _118212) ^ [_146859] : [_146859 = slsdtgt0(_146668), 866 ^ _118212 : [(867 ^ _118212) ^ [] : [-(aSet0(_146859))], (869 ^ _118212) ^ [_147114] : [aElementOf0(_147114, _146859), 873 ^ _118212 : [(874 ^ _118212) ^ [] : [-(aElement0(872 ^ [_146668, _146859, _147114]))], (876 ^ _118212) ^ [] : [-(sdtasdt0(_146668, 872 ^ [_146668, _146859, _147114]) = _147114)]]], (878 ^ _118212) ^ [_147447] : [-(aElementOf0(_147447, _146859)), 879 ^ _118212 : [(880 ^ _118212) ^ [_147547] : [aElement0(_147547), sdtasdt0(_146668, _147547) = _147447]]]]]]]], input).
% 101.33/98.68 ncf('1',plain,[946 : aElement0(sdtpldt0(xu, xv)), 946 : sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy), 954 : aElement0(sdtasdt0(xu, xz)), 954 : sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xz, xx)],start(944 ^ 0,bind([[_149910, _150137], [sdtpldt0(xu, xv), sdtasdt0(xu, xz)]]))).
% 101.33/98.68 ncf('1.1',plain,[-(aElement0(sdtpldt0(xu, xv))), aElement0(xu), aElement0(xv)],extension(244 ^ 3,bind([[_126283, _126285], [xv, xu]]))).
% 101.33/98.68 ncf('1.1.1',plain,[-(aElement0(xu))],extension(932 ^ 4)).
% 101.33/98.68 ncf('1.1.2',plain,[-(aElement0(xv))],extension(936 ^ 4)).
% 101.33/98.68 ncf('1.2',plain,[-(sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy)), sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))],extension(4 ^ 3,bind([[_118463, _118465], [sdtasdt0(xc, sdtpldt0(xu, xv)), sdtpldt0(xx, xy)]]))).
% 101.33/98.68 ncf('1.2.1',plain,[-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))],extension(940 ^ 4)).
% 101.33/98.68 ncf('1.3',plain,[-(aElement0(sdtasdt0(xu, xz))), aElement0(xu), aElement0(xz)],extension(254 ^ 3,bind([[_126582, _126584], [xz, xu]]))).
% 101.33/98.68 ncf('1.3.1',plain,[-(aElement0(xu))],extension(932 ^ 4)).
% 101.33/98.68 ncf('1.3.2',plain,[-(aElement0(xz))],extension(930 ^ 4)).
% 101.33/98.68 ncf('1.4',plain,[-(sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xz, xx)), sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))],extension(4 ^ 3,bind([[_118463, _118465], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xz, xx)]]))).
% 101.33/98.68 ncf('1.4.1',plain,[-(sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz)))],extension(942 ^ 4)).
% 101.33/98.68 %-----------------------------------------------------
% 101.33/98.68 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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