TSTP Solution File: RNG104+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 102.60s 98.95s
% Output : Proof 102.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 20:33:33 EDT 2023
% 0.13/0.34 % CPUTime :
% 102.60/98.95
% 102.60/98.95 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 102.60/98.95 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 102.60/98.95 %-----------------------------------------------------
% 102.60/98.95 ncf(matrix, plain, [(942 ^ _116462) ^ [] : [sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))], (166 ^ _116462) ^ [_121882, _121884, _121886, _121888] : [-(sdtasasdt0(_121888, _121884) = sdtasasdt0(_121886, _121882)), _121888 = _121886, _121884 = _121882], (176 ^ _116462) ^ [_122213, _122215] : [_122215 = _122213, -(smndt0(_122215) = smndt0(_122213))], (182 ^ _116462) ^ [_122459, _122461, _122463, _122465] : [-(sdtpldt1(_122465, _122461) = sdtpldt1(_122463, _122459)), _122465 = _122463, _122461 = _122459], (192 ^ _116462) ^ [_122790, _122792] : [_122792 = _122790, -(sbrdtbr0(_122792) = sbrdtbr0(_122790))], (198 ^ _116462) ^ [_123008, _123010] : [_123010 = _123008, -(slsdtgt0(_123010) = slsdtgt0(_123008))], (204 ^ _116462) ^ [_123254, _123256, _123258, _123260] : [-(sdtpldt0(_123260, _123256) = sdtpldt0(_123258, _123254)), _123260 = _123258, _123256 = _123254], (214 ^ _116462) ^ [_123593, _123595, _123597, _123599] : [-(sdtasdt0(_123599, _123595) = sdtasdt0(_123597, _123593)), _123599 = _123597, _123595 = _123593], (2 ^ _116462) ^ [_116606] : [-(_116606 = _116606)], (4 ^ _116462) ^ [_116713, _116715] : [_116715 = _116713, -(_116713 = _116715)], (10 ^ _116462) ^ [_116917, _116919, _116921] : [-(_116921 = _116917), _116921 = _116919, _116919 = _116917], (20 ^ _116462) ^ [_117230, _117232] : [-(aIdeal0(_117230)), _117232 = _117230, aIdeal0(_117232)], (30 ^ _116462) ^ [_117581, _117583, _117585, _117587, _117589, _117591] : [-(sdteqdtlpzmzozddtrp0(_117589, _117585, _117581)), sdteqdtlpzmzozddtrp0(_117591, _117587, _117583), _117591 = _117589, _117587 = _117585, _117583 = _117581], (48 ^ _116462) ^ [_118134, _118136] : [-(aNaturalNumber0(_118134)), _118136 = _118134, aNaturalNumber0(_118136)], (58 ^ _116462) ^ [_118457, _118459, _118461, _118463] : [-(iLess0(_118461, _118457)), iLess0(_118463, _118459), _118463 = _118461, _118459 = _118457], (72 ^ _116462) ^ [_118901, _118903, _118905, _118907] : [-(aDivisorOf0(_118905, _118901)), aDivisorOf0(_118907, _118903), _118907 = _118905, _118903 = _118901], (86 ^ _116462) ^ [_119345, _119347, _119349, _119351] : [-(doDivides0(_119349, _119345)), doDivides0(_119351, _119347), _119351 = _119349, _119347 = _119345], (100 ^ _116462) ^ [_119789, _119791, _119793, _119795] : [-(misRelativelyPrime0(_119793, _119789)), misRelativelyPrime0(_119795, _119791), _119795 = _119793, _119791 = _119789], (114 ^ _116462) ^ [_120261, _120263, _120265, _120267, _120269, _120271] : [-(aGcdOfAnd0(_120269, _120265, _120261)), aGcdOfAnd0(_120271, _120267, _120263), _120271 = _120269, _120267 = _120265, _120263 = _120261], (132 ^ _116462) ^ [_120814, _120816] : [-(aSet0(_120814)), _120816 = _120814, aSet0(_120816)], (156 ^ _116462) ^ [_121533, _121535] : [-(aElement0(_121533)), _121535 = _121533, aElement0(_121535)], (142 ^ _116462) ^ [_121137, _121139, _121141, _121143] : [-(aElementOf0(_121141, _121137)), aElementOf0(_121143, _121139), _121143 = _121141, _121139 = _121137], (224 ^ _116462) ^ [_123968] : [aElement0(_123968), true___, -(true___)], (234 ^ _116462) ^ [] : [-(aElement0(sz00))], (236 ^ _116462) ^ [] : [-(aElement0(sz10))], (238 ^ _116462) ^ [_124329] : [aElement0(_124329), -(aElement0(smndt0(_124329)))], (244 ^ _116462) ^ [_124533, _124535] : [-(aElement0(sdtpldt0(_124535, _124533))), aElement0(_124535), aElement0(_124533)], (254 ^ _116462) ^ [_124832, _124834] : [-(aElement0(sdtasdt0(_124834, _124832))), aElement0(_124834), aElement0(_124832)], (264 ^ _116462) ^ [_125131, _125133] : [-(sdtpldt0(_125133, _125131) = sdtpldt0(_125131, _125133)), aElement0(_125133), aElement0(_125131)], (274 ^ _116462) ^ [_125452, _125454, _125456] : [-(sdtpldt0(sdtpldt0(_125456, _125454), _125452) = sdtpldt0(_125456, sdtpldt0(_125454, _125452))), aElement0(_125456), aElement0(_125454), aElement0(_125452)], (288 ^ _116462) ^ [_125858] : [aElement0(_125858), 291 ^ _116462 : [(292 ^ _116462) ^ [] : [-(sdtpldt0(_125858, sz00) = _125858)], (294 ^ _116462) ^ [] : [-(_125858 = sdtpldt0(sz00, _125858))]]], (296 ^ _116462) ^ [_126131] : [aElement0(_126131), 299 ^ _116462 : [(300 ^ _116462) ^ [] : [-(sdtpldt0(_126131, smndt0(_126131)) = sz00)], (302 ^ _116462) ^ [] : [-(sz00 = sdtpldt0(smndt0(_126131), _126131))]]], (304 ^ _116462) ^ [_126426, _126428] : [-(sdtasdt0(_126428, _126426) = sdtasdt0(_126426, _126428)), aElement0(_126428), aElement0(_126426)], (314 ^ _116462) ^ [_126747, _126749, _126751] : [-(sdtasdt0(sdtasdt0(_126751, _126749), _126747) = sdtasdt0(_126751, sdtasdt0(_126749, _126747))), aElement0(_126751), aElement0(_126749), aElement0(_126747)], (328 ^ _116462) ^ [_127153] : [aElement0(_127153), 331 ^ _116462 : [(332 ^ _116462) ^ [] : [-(sdtasdt0(_127153, sz10) = _127153)], (334 ^ _116462) ^ [] : [-(_127153 = sdtasdt0(sz10, _127153))]]], (336 ^ _116462) ^ [_127454, _127456, _127458] : [347 ^ _116462 : [(348 ^ _116462) ^ [] : [-(sdtasdt0(_127458, sdtpldt0(_127456, _127454)) = sdtpldt0(sdtasdt0(_127458, _127456), sdtasdt0(_127458, _127454)))], (350 ^ _116462) ^ [] : [-(sdtasdt0(sdtpldt0(_127456, _127454), _127458) = sdtpldt0(sdtasdt0(_127456, _127458), sdtasdt0(_127454, _127458)))]], aElement0(_127458), aElement0(_127456), aElement0(_127454)], (352 ^ _116462) ^ [_127973] : [aElement0(_127973), 355 ^ _116462 : [(356 ^ _116462) ^ [] : [-(sdtasdt0(smndt0(sz10), _127973) = smndt0(_127973))], (358 ^ _116462) ^ [] : [-(smndt0(_127973) = sdtasdt0(_127973, smndt0(sz10)))]]], (360 ^ _116462) ^ [_128254] : [aElement0(_128254), 363 ^ _116462 : [(364 ^ _116462) ^ [] : [-(sdtasdt0(_128254, sz00) = sz00)], (366 ^ _116462) ^ [] : [-(sz00 = sdtasdt0(sz00, _128254))]]], (368 ^ _116462) ^ [_128541, _128543] : [aElement0(_128543), aElement0(_128541), sdtasdt0(_128543, _128541) = sz00, -(_128543 = sz00), -(_128541 = sz00)], (386 ^ _116462) ^ [] : [sz10 = sz00], (388 ^ _116462) ^ [_129061] : [aSet0(_129061), true___, -(true___)], (398 ^ _116462) ^ [_129316] : [aSet0(_129316), 401 ^ _116462 : [(402 ^ _116462) ^ [_129446] : [aElementOf0(_129446, _129316), -(aElement0(_129446))]]], (408 ^ _116462) ^ [_129661, _129663] : [aSet0(_129663), aSet0(_129661), -(_129663 = _129661), 420 ^ _116462 : [(421 ^ _116462) ^ [] : [-(aElementOf0(419 ^ [_129661, _129663], _129663))], (423 ^ _116462) ^ [] : [aElementOf0(419 ^ [_129661, _129663], _129661)]], 425 ^ _116462 : [(426 ^ _116462) ^ [] : [-(aElementOf0(424 ^ [_129661, _129663], _129661))], (428 ^ _116462) ^ [] : [aElementOf0(424 ^ [_129661, _129663], _129663)]]], (432 ^ _116462) ^ [_130426, _130428] : [aSet0(_130428), aSet0(_130426), 439 ^ _116462 : [(472 ^ _116462) ^ [_132056] : [-(_132056 = sdtpldt1(_130428, _130426)), aSet0(_132056), 494 ^ _116462 : [(495 ^ _116462) ^ [] : [-(aElementOf0(492 ^ [_130426, _130428, _132056], _130428))], (497 ^ _116462) ^ [] : [-(aElementOf0(493 ^ [_130426, _130428, _132056], _130426))], (499 ^ _116462) ^ [] : [-(sdtpldt0(492 ^ [_130426, _130428, _132056], 493 ^ [_130426, _130428, _132056]) = 477 ^ [_130426, _130428, _132056])], (501 ^ _116462) ^ [] : [aElementOf0(477 ^ [_130426, _130428, _132056], _132056)]], 480 ^ _116462 : [(481 ^ _116462) ^ [] : [-(aElementOf0(477 ^ [_130426, _130428, _132056], _132056))], (483 ^ _116462) ^ [_132485, _132487] : [aElementOf0(_132487, _130428), aElementOf0(_132485, _130426), sdtpldt0(_132487, _132485) = 477 ^ [_130426, _130428, _132056]]]], (440 ^ _116462) ^ [_130721] : [_130721 = sdtpldt1(_130428, _130426), 443 ^ _116462 : [(444 ^ _116462) ^ [] : [-(aSet0(_130721))], (446 ^ _116462) ^ [_130998] : [aElementOf0(_130998, _130721), 451 ^ _116462 : [(452 ^ _116462) ^ [] : [-(aElementOf0(449 ^ [_130426, _130428, _130721, _130998], _130428))], (454 ^ _116462) ^ [] : [-(aElementOf0(450 ^ [_130426, _130428, _130721, _130998], _130426))], (456 ^ _116462) ^ [] : [-(sdtpldt0(449 ^ [_130426, _130428, _130721, _130998], 450 ^ [_130426, _130428, _130721, _130998]) = _130998)]]], (458 ^ _116462) ^ [_131558] : [-(aElementOf0(_131558, _130721)), 459 ^ _116462 : [(460 ^ _116462) ^ [_131688, _131690] : [aElementOf0(_131690, _130428), aElementOf0(_131688, _130426), sdtpldt0(_131690, _131688) = _131558]]]]]]], (505 ^ _116462) ^ [_133406, _133408] : [aSet0(_133408), aSet0(_133406), 512 ^ _116462 : [(537 ^ _116462) ^ [_134485] : [-(_134485 = sdtasasdt0(_133408, _133406)), aSet0(_134485), 553 ^ _116462 : [(554 ^ _116462) ^ [] : [-(aElementOf0(542 ^ [_133406, _133408, _134485], _133408))], (556 ^ _116462) ^ [] : [-(aElementOf0(542 ^ [_133406, _133408, _134485], _133406))], (558 ^ _116462) ^ [] : [aElementOf0(542 ^ [_133406, _133408, _134485], _134485)]], 545 ^ _116462 : [(546 ^ _116462) ^ [] : [-(aElementOf0(542 ^ [_133406, _133408, _134485], _134485))], (548 ^ _116462) ^ [] : [aElementOf0(542 ^ [_133406, _133408, _134485], _133408), aElementOf0(542 ^ [_133406, _133408, _134485], _133406)]]], (513 ^ _116462) ^ [_133682] : [_133682 = sdtasasdt0(_133408, _133406), 516 ^ _116462 : [(517 ^ _116462) ^ [] : [-(aSet0(_133682))], (519 ^ _116462) ^ [_133940] : [aElementOf0(_133940, _133682), 522 ^ _116462 : [(523 ^ _116462) ^ [] : [-(aElementOf0(_133940, _133408))], (525 ^ _116462) ^ [] : [-(aElementOf0(_133940, _133406))]]], (527 ^ _116462) ^ [_134199] : [-(aElementOf0(_134199, _133682)), aElementOf0(_134199, _133408), aElementOf0(_134199, _133406)]]]]], (584 ^ _116462) ^ [_136150] : [-(aIdeal0(_136150)), aSet0(_136150), 590 ^ _116462 : [(591 ^ _116462) ^ [] : [-(aElementOf0(589 ^ [_136150], _136150))], (593 ^ _116462) ^ [] : [595 ^ _116462 : [(596 ^ _116462) ^ [] : [-(aElementOf0(594 ^ [_136150], _136150))], (598 ^ _116462) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_136150], 594 ^ [_136150]), _136150)]], 600 ^ _116462 : [(601 ^ _116462) ^ [] : [-(aElement0(599 ^ [_136150]))], (603 ^ _116462) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_136150], 589 ^ [_136150]), _136150)]]]]], (562 ^ _116462) ^ [_135355] : [aIdeal0(_135355), 565 ^ _116462 : [(566 ^ _116462) ^ [] : [-(aSet0(_135355))], (568 ^ _116462) ^ [_135587] : [aElementOf0(_135587, _135355), 571 ^ _116462 : [(572 ^ _116462) ^ [_135768] : [aElementOf0(_135768, _135355), -(aElementOf0(sdtpldt0(_135587, _135768), _135355))], (578 ^ _116462) ^ [_135960] : [aElement0(_135960), -(aElementOf0(sdtasdt0(_135960, _135587), _135355))]]]]], (607 ^ _116462) ^ [_136990, _136992] : [-(aIdeal0(sdtpldt1(_136992, _136990))), aIdeal0(_136992), aIdeal0(_136990)], (617 ^ _116462) ^ [_137289, _137291] : [-(aIdeal0(sdtasasdt0(_137291, _137289))), aIdeal0(_137291), aIdeal0(_137289)], (627 ^ _116462) ^ [_137602, _137604, _137606] : [aElement0(_137606), aElement0(_137604), aIdeal0(_137602), 638 ^ _116462 : [(639 ^ _116462) ^ [] : [sdteqdtlpzmzozddtrp0(_137606, _137604, _137602), -(aElementOf0(sdtpldt0(_137606, smndt0(_137604)), _137602))], (645 ^ _116462) ^ [] : [aElementOf0(sdtpldt0(_137606, smndt0(_137604)), _137602), -(sdteqdtlpzmzozddtrp0(_137606, _137604, _137602))]]], (651 ^ _116462) ^ [_138280, _138282] : [aIdeal0(_138282), aIdeal0(_138280), 661 ^ _116462 : [(662 ^ _116462) ^ [] : [-(aElement0(660 ^ [_138280, _138282]))], (664 ^ _116462) ^ [] : [aElementOf0(660 ^ [_138280, _138282], sdtpldt1(_138282, _138280))]], 665 ^ _116462 : [(666 ^ _116462) ^ [_138778, _138780] : [674 ^ _116462 : [(675 ^ _116462) ^ [] : [-(aElement0(673 ^ [_138280, _138282, _138778, _138780]))], (677 ^ _116462) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_138280, _138282, _138778, _138780], _138780, _138282))], (679 ^ _116462) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_138280, _138282, _138778, _138780], _138778, _138280))]], aElement0(_138780), aElement0(_138778)]]], (681 ^ _116462) ^ [_139358] : [aNaturalNumber0(_139358), true___, -(true___)], (691 ^ _116462) ^ [_139613] : [-(aNaturalNumber0(sbrdtbr0(_139613))), aElement0(_139613), -(_139613 = sz00)], (701 ^ _116462) ^ [_139905, _139907] : [aNaturalNumber0(_139907), aNaturalNumber0(_139905), iLess0(_139907, _139905), true___, -(true___)], (719 ^ _116462) ^ [_140365, _140367] : [732 ^ _116462 : [(733 ^ _116462) ^ [] : [-(aElement0(730 ^ [_140365, _140367]))], (735 ^ _116462) ^ [] : [-(aElement0(731 ^ [_140365, _140367]))], (737 ^ _116462) ^ [] : [-(_140367 = sdtpldt0(sdtasdt0(730 ^ [_140365, _140367], _140365), 731 ^ [_140365, _140367]))], (739 ^ _116462) ^ [] : [-(731 ^ [_140365, _140367] = sz00), -(iLess0(sbrdtbr0(731 ^ [_140365, _140367]), sbrdtbr0(_140365)))]], aElement0(_140367), aElement0(_140365), -(_140365 = sz00)], (745 ^ _116462) ^ [_141312, _141314] : [aElement0(_141314), aElement0(_141312), 752 ^ _116462 : [(753 ^ _116462) ^ [] : [doDivides0(_141314, _141312), 757 ^ _116462 : [(758 ^ _116462) ^ [] : [-(aElement0(756 ^ [_141312, _141314]))], (760 ^ _116462) ^ [] : [-(sdtasdt0(_141314, 756 ^ [_141312, _141314]) = _141312)]]], (762 ^ _116462) ^ [] : [-(doDivides0(_141314, _141312)), 763 ^ _116462 : [(764 ^ _116462) ^ [_141872] : [aElement0(_141872), sdtasdt0(_141314, _141872) = _141312]]]]], (772 ^ _116462) ^ [_142141] : [aElement0(_142141), 775 ^ _116462 : [(776 ^ _116462) ^ [_142306] : [aDivisorOf0(_142306, _142141), 779 ^ _116462 : [(780 ^ _116462) ^ [] : [-(aElement0(_142306))], (782 ^ _116462) ^ [] : [-(doDivides0(_142306, _142141))]]], (784 ^ _116462) ^ [_142543] : [-(aDivisorOf0(_142543, _142141)), aElement0(_142543), doDivides0(_142543, _142141)]]], (794 ^ _116462) ^ [_142849, _142851] : [aElement0(_142851), aElement0(_142849), 801 ^ _116462 : [(802 ^ _116462) ^ [_143130] : [aGcdOfAnd0(_143130, _142851, _142849), 805 ^ _116462 : [(806 ^ _116462) ^ [] : [-(aDivisorOf0(_143130, _142851))], (808 ^ _116462) ^ [] : [-(aDivisorOf0(_143130, _142849))], (810 ^ _116462) ^ [_143431] : [-(doDivides0(_143431, _143130)), aDivisorOf0(_143431, _142851), aDivisorOf0(_143431, _142849)]]], (820 ^ _116462) ^ [_143717] : [-(aGcdOfAnd0(_143717, _142851, _142849)), aDivisorOf0(_143717, _142851), aDivisorOf0(_143717, _142849), 830 ^ _116462 : [(831 ^ _116462) ^ [] : [-(aDivisorOf0(829 ^ [_142849, _142851, _143717], _142851))], (833 ^ _116462) ^ [] : [-(aDivisorOf0(829 ^ [_142849, _142851, _143717], _142849))], (835 ^ _116462) ^ [] : [doDivides0(829 ^ [_142849, _142851, _143717], _143717)]]]]], (839 ^ _116462) ^ [_144382, _144384] : [aElement0(_144384), aElement0(_144382), 846 ^ _116462 : [(847 ^ _116462) ^ [] : [misRelativelyPrime0(_144384, _144382), -(aGcdOfAnd0(sz10, _144384, _144382))], (853 ^ _116462) ^ [] : [aGcdOfAnd0(sz10, _144384, _144382), -(misRelativelyPrime0(_144384, _144382))]]], (914 ^ _116462) ^ [] : [-(aElement0(xc))], (917 ^ _116462) ^ [] : [-(aElement0(915 ^ []))], (919 ^ _116462) ^ [] : [-(sdtasdt0(xc, 915 ^ []) = xx)], (921 ^ _116462) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _116462) ^ [] : [-(aElement0(922 ^ []))], (926 ^ _116462) ^ [] : [-(sdtasdt0(xc, 922 ^ []) = xy)], (928 ^ _116462) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (930 ^ _116462) ^ [] : [-(aElement0(xz))], (932 ^ _116462) ^ [] : [-(aElement0(xu))], (934 ^ _116462) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (936 ^ _116462) ^ [] : [-(aElement0(xv))], (938 ^ _116462) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (940 ^ _116462) ^ [] : [-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))], (859 ^ _116462) ^ [_144918] : [aElement0(_144918), 862 ^ _116462 : [(888 ^ _116462) ^ [_146042] : [-(_146042 = slsdtgt0(_144918)), aSet0(_146042), 905 ^ _116462 : [(906 ^ _116462) ^ [] : [-(aElement0(904 ^ [_144918, _146042]))], (908 ^ _116462) ^ [] : [-(sdtasdt0(_144918, 904 ^ [_144918, _146042]) = 893 ^ [_144918, _146042])], (910 ^ _116462) ^ [] : [aElementOf0(893 ^ [_144918, _146042], _146042)]], 896 ^ _116462 : [(897 ^ _116462) ^ [] : [-(aElementOf0(893 ^ [_144918, _146042], _146042))], (899 ^ _116462) ^ [_146414] : [aElement0(_146414), sdtasdt0(_144918, _146414) = 893 ^ [_144918, _146042]]]], (863 ^ _116462) ^ [_145109] : [_145109 = slsdtgt0(_144918), 866 ^ _116462 : [(867 ^ _116462) ^ [] : [-(aSet0(_145109))], (869 ^ _116462) ^ [_145364] : [aElementOf0(_145364, _145109), 873 ^ _116462 : [(874 ^ _116462) ^ [] : [-(aElement0(872 ^ [_144918, _145109, _145364]))], (876 ^ _116462) ^ [] : [-(sdtasdt0(_144918, 872 ^ [_144918, _145109, _145364]) = _145364)]]], (878 ^ _116462) ^ [_145697] : [-(aElementOf0(_145697, _145109)), 879 ^ _116462 : [(880 ^ _116462) ^ [_145797] : [aElement0(_145797), sdtasdt0(_144918, _145797) = _145697]]]]]]]], input).
% 102.60/98.95 ncf('1',plain,[sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))],start(942 ^ 0)).
% 102.60/98.95 ncf('1.1',plain,[-(sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))), sdtasdt0(xz, xx) = sdtasdt0(xz, sdtasdt0(xc, xu)), sdtasdt0(xz, sdtasdt0(xc, xu)) = sdtasdt0(xc, sdtasdt0(xu, xz))],extension(10 ^ 1,bind([[_116917, _116919, _116921], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xz, sdtasdt0(xc, xu)), sdtasdt0(xz, xx)]]))).
% 102.60/98.95 ncf('1.1.1',plain,[-(sdtasdt0(xz, xx) = sdtasdt0(xz, sdtasdt0(xc, xu))), xz = xz, xx = sdtasdt0(xc, xu)],extension(214 ^ 2,bind([[_123593, _123595, _123597, _123599], [sdtasdt0(xc, xu), xx, xz, xz]]))).
% 102.60/98.95 ncf('1.1.1.1',plain,[-(xz = xz)],extension(2 ^ 3,bind([[_116606], [xz]]))).
% 102.60/98.95 ncf('1.1.1.2',plain,[-(xx = sdtasdt0(xc, xu)), sdtasdt0(xc, xu) = xx],extension(4 ^ 3,bind([[_116713, _116715], [xx, sdtasdt0(xc, xu)]]))).
% 102.60/98.95 ncf('1.1.1.2.1',plain,[-(sdtasdt0(xc, xu) = xx)],extension(934 ^ 4)).
% 102.60/98.95 ncf('1.1.2',plain,[-(sdtasdt0(xz, sdtasdt0(xc, xu)) = sdtasdt0(xc, sdtasdt0(xu, xz))), sdtasdt0(xz, sdtasdt0(xc, xu)) = sdtasdt0(sdtasdt0(xc, xu), xz), sdtasdt0(sdtasdt0(xc, xu), xz) = sdtasdt0(xc, sdtasdt0(xu, xz))],extension(10 ^ 2,bind([[_116917, _116919, _116921], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(sdtasdt0(xc, xu), xz), sdtasdt0(xz, sdtasdt0(xc, xu))]]))).
% 102.60/98.95 ncf('1.1.2.1',plain,[-(sdtasdt0(xz, sdtasdt0(xc, xu)) = sdtasdt0(sdtasdt0(xc, xu), xz)), aElement0(xz), aElement0(sdtasdt0(xc, xu))],extension(304 ^ 3,bind([[_126426, _126428], [sdtasdt0(xc, xu), xz]]))).
% 102.60/98.95 ncf('1.1.2.1.1',plain,[-(aElement0(xz))],extension(930 ^ 4)).
% 102.60/98.95 ncf('1.1.2.1.2',plain,[-(aElement0(sdtasdt0(xc, xu))), aElement0(xc), aElement0(xu)],extension(254 ^ 4,bind([[_124832, _124834], [xu, xc]]))).
% 102.60/98.95 ncf('1.1.2.1.2.1',plain,[-(aElement0(xc))],extension(914 ^ 5)).
% 102.60/98.95 ncf('1.1.2.1.2.2',plain,[-(aElement0(xu))],extension(932 ^ 5)).
% 102.60/98.95 ncf('1.1.2.2',plain,[-(sdtasdt0(sdtasdt0(xc, xu), xz) = sdtasdt0(xc, sdtasdt0(xu, xz))), sdtasdt0(sdtasdt0(xc, xu), xz) = sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xc, sdtasdt0(xu, xz))],extension(10 ^ 3,bind([[_116917, _116919, _116921], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(sdtasdt0(xc, xu), xz)]]))).
% 102.60/98.95 ncf('1.1.2.2.1',plain,[-(sdtasdt0(sdtasdt0(xc, xu), xz) = sdtasdt0(xc, sdtasdt0(xu, xz))), aElement0(xc), aElement0(xu), aElement0(xz)],extension(314 ^ 4,bind([[_126747, _126749, _126751], [xz, xu, xc]]))).
% 102.60/98.95 ncf('1.1.2.2.1.1',plain,[-(aElement0(xc))],extension(914 ^ 5)).
% 102.60/98.95 ncf('1.1.2.2.1.2',plain,[-(aElement0(xu))],extension(932 ^ 5)).
% 102.60/98.95 ncf('1.1.2.2.1.3',plain,[-(aElement0(xz))],extension(930 ^ 5)).
% 102.60/98.95 ncf('1.1.2.2.2',plain,[-(sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xc, sdtasdt0(xu, xz)))],extension(2 ^ 4,bind([[_116606], [sdtasdt0(xc, sdtasdt0(xu, xz))]]))).
% 102.60/98.95 %-----------------------------------------------------
% 102.60/98.95 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------