TSTP Solution File: RNG104+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG104+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 101.76s 98.64s
% Output : Proof 101.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG104+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n031.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 20:48:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 101.76/98.64
% 101.76/98.64 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.76/98.64 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.76/98.64 %-----------------------------------------------------
% 101.76/98.64 ncf(matrix, plain, [(932 ^ _114687) ^ [] : [sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))], (166 ^ _114687) ^ [_120107, _120109, _120111, _120113] : [-(sdtasasdt0(_120113, _120109) = sdtasasdt0(_120111, _120107)), _120113 = _120111, _120109 = _120107], (176 ^ _114687) ^ [_120438, _120440] : [_120440 = _120438, -(smndt0(_120440) = smndt0(_120438))], (182 ^ _114687) ^ [_120684, _120686, _120688, _120690] : [-(sdtpldt1(_120690, _120686) = sdtpldt1(_120688, _120684)), _120690 = _120688, _120686 = _120684], (192 ^ _114687) ^ [_121015, _121017] : [_121017 = _121015, -(sbrdtbr0(_121017) = sbrdtbr0(_121015))], (198 ^ _114687) ^ [_121233, _121235] : [_121235 = _121233, -(slsdtgt0(_121235) = slsdtgt0(_121233))], (204 ^ _114687) ^ [_121479, _121481, _121483, _121485] : [-(sdtpldt0(_121485, _121481) = sdtpldt0(_121483, _121479)), _121485 = _121483, _121481 = _121479], (214 ^ _114687) ^ [_121818, _121820, _121822, _121824] : [-(sdtasdt0(_121824, _121820) = sdtasdt0(_121822, _121818)), _121824 = _121822, _121820 = _121818], (2 ^ _114687) ^ [_114831] : [-(_114831 = _114831)], (4 ^ _114687) ^ [_114938, _114940] : [_114940 = _114938, -(_114938 = _114940)], (10 ^ _114687) ^ [_115142, _115144, _115146] : [-(_115146 = _115142), _115146 = _115144, _115144 = _115142], (20 ^ _114687) ^ [_115455, _115457] : [-(aIdeal0(_115455)), _115457 = _115455, aIdeal0(_115457)], (30 ^ _114687) ^ [_115806, _115808, _115810, _115812, _115814, _115816] : [-(sdteqdtlpzmzozddtrp0(_115814, _115810, _115806)), sdteqdtlpzmzozddtrp0(_115816, _115812, _115808), _115816 = _115814, _115812 = _115810, _115808 = _115806], (48 ^ _114687) ^ [_116359, _116361] : [-(aNaturalNumber0(_116359)), _116361 = _116359, aNaturalNumber0(_116361)], (58 ^ _114687) ^ [_116682, _116684, _116686, _116688] : [-(iLess0(_116686, _116682)), iLess0(_116688, _116684), _116688 = _116686, _116684 = _116682], (72 ^ _114687) ^ [_117126, _117128, _117130, _117132] : [-(aDivisorOf0(_117130, _117126)), aDivisorOf0(_117132, _117128), _117132 = _117130, _117128 = _117126], (86 ^ _114687) ^ [_117570, _117572, _117574, _117576] : [-(doDivides0(_117574, _117570)), doDivides0(_117576, _117572), _117576 = _117574, _117572 = _117570], (100 ^ _114687) ^ [_118014, _118016, _118018, _118020] : [-(misRelativelyPrime0(_118018, _118014)), misRelativelyPrime0(_118020, _118016), _118020 = _118018, _118016 = _118014], (114 ^ _114687) ^ [_118486, _118488, _118490, _118492, _118494, _118496] : [-(aGcdOfAnd0(_118494, _118490, _118486)), aGcdOfAnd0(_118496, _118492, _118488), _118496 = _118494, _118492 = _118490, _118488 = _118486], (132 ^ _114687) ^ [_119039, _119041] : [-(aSet0(_119039)), _119041 = _119039, aSet0(_119041)], (156 ^ _114687) ^ [_119758, _119760] : [-(aElement0(_119758)), _119760 = _119758, aElement0(_119760)], (142 ^ _114687) ^ [_119362, _119364, _119366, _119368] : [-(aElementOf0(_119366, _119362)), aElementOf0(_119368, _119364), _119368 = _119366, _119364 = _119362], (224 ^ _114687) ^ [_122193] : [aElement0(_122193), true___, -(true___)], (234 ^ _114687) ^ [] : [-(aElement0(sz00))], (236 ^ _114687) ^ [] : [-(aElement0(sz10))], (238 ^ _114687) ^ [_122554] : [aElement0(_122554), -(aElement0(smndt0(_122554)))], (244 ^ _114687) ^ [_122758, _122760] : [-(aElement0(sdtpldt0(_122760, _122758))), aElement0(_122760), aElement0(_122758)], (254 ^ _114687) ^ [_123057, _123059] : [-(aElement0(sdtasdt0(_123059, _123057))), aElement0(_123059), aElement0(_123057)], (264 ^ _114687) ^ [_123356, _123358] : [-(sdtpldt0(_123358, _123356) = sdtpldt0(_123356, _123358)), aElement0(_123358), aElement0(_123356)], (274 ^ _114687) ^ [_123677, _123679, _123681] : [-(sdtpldt0(sdtpldt0(_123681, _123679), _123677) = sdtpldt0(_123681, sdtpldt0(_123679, _123677))), aElement0(_123681), aElement0(_123679), aElement0(_123677)], (288 ^ _114687) ^ [_124083] : [aElement0(_124083), 291 ^ _114687 : [(292 ^ _114687) ^ [] : [-(sdtpldt0(_124083, sz00) = _124083)], (294 ^ _114687) ^ [] : [-(_124083 = sdtpldt0(sz00, _124083))]]], (296 ^ _114687) ^ [_124356] : [aElement0(_124356), 299 ^ _114687 : [(300 ^ _114687) ^ [] : [-(sdtpldt0(_124356, smndt0(_124356)) = sz00)], (302 ^ _114687) ^ [] : [-(sz00 = sdtpldt0(smndt0(_124356), _124356))]]], (304 ^ _114687) ^ [_124651, _124653] : [-(sdtasdt0(_124653, _124651) = sdtasdt0(_124651, _124653)), aElement0(_124653), aElement0(_124651)], (314 ^ _114687) ^ [_124972, _124974, _124976] : [-(sdtasdt0(sdtasdt0(_124976, _124974), _124972) = sdtasdt0(_124976, sdtasdt0(_124974, _124972))), aElement0(_124976), aElement0(_124974), aElement0(_124972)], (328 ^ _114687) ^ [_125378] : [aElement0(_125378), 331 ^ _114687 : [(332 ^ _114687) ^ [] : [-(sdtasdt0(_125378, sz10) = _125378)], (334 ^ _114687) ^ [] : [-(_125378 = sdtasdt0(sz10, _125378))]]], (336 ^ _114687) ^ [_125679, _125681, _125683] : [347 ^ _114687 : [(348 ^ _114687) ^ [] : [-(sdtasdt0(_125683, sdtpldt0(_125681, _125679)) = sdtpldt0(sdtasdt0(_125683, _125681), sdtasdt0(_125683, _125679)))], (350 ^ _114687) ^ [] : [-(sdtasdt0(sdtpldt0(_125681, _125679), _125683) = sdtpldt0(sdtasdt0(_125681, _125683), sdtasdt0(_125679, _125683)))]], aElement0(_125683), aElement0(_125681), aElement0(_125679)], (352 ^ _114687) ^ [_126198] : [aElement0(_126198), 355 ^ _114687 : [(356 ^ _114687) ^ [] : [-(sdtasdt0(smndt0(sz10), _126198) = smndt0(_126198))], (358 ^ _114687) ^ [] : [-(smndt0(_126198) = sdtasdt0(_126198, smndt0(sz10)))]]], (360 ^ _114687) ^ [_126479] : [aElement0(_126479), 363 ^ _114687 : [(364 ^ _114687) ^ [] : [-(sdtasdt0(_126479, sz00) = sz00)], (366 ^ _114687) ^ [] : [-(sz00 = sdtasdt0(sz00, _126479))]]], (368 ^ _114687) ^ [_126766, _126768] : [aElement0(_126768), aElement0(_126766), sdtasdt0(_126768, _126766) = sz00, -(_126768 = sz00), -(_126766 = sz00)], (386 ^ _114687) ^ [] : [sz10 = sz00], (388 ^ _114687) ^ [_127286] : [aSet0(_127286), true___, -(true___)], (398 ^ _114687) ^ [_127541] : [aSet0(_127541), 401 ^ _114687 : [(402 ^ _114687) ^ [_127671] : [aElementOf0(_127671, _127541), -(aElement0(_127671))]]], (408 ^ _114687) ^ [_127886, _127888] : [aSet0(_127888), aSet0(_127886), -(_127888 = _127886), 420 ^ _114687 : [(421 ^ _114687) ^ [] : [-(aElementOf0(419 ^ [_127886, _127888], _127888))], (423 ^ _114687) ^ [] : [aElementOf0(419 ^ [_127886, _127888], _127886)]], 425 ^ _114687 : [(426 ^ _114687) ^ [] : [-(aElementOf0(424 ^ [_127886, _127888], _127886))], (428 ^ _114687) ^ [] : [aElementOf0(424 ^ [_127886, _127888], _127888)]]], (432 ^ _114687) ^ [_128651, _128653] : [aSet0(_128653), aSet0(_128651), 439 ^ _114687 : [(472 ^ _114687) ^ [_130281] : [-(_130281 = sdtpldt1(_128653, _128651)), aSet0(_130281), 494 ^ _114687 : [(495 ^ _114687) ^ [] : [-(aElementOf0(492 ^ [_128651, _128653, _130281], _128653))], (497 ^ _114687) ^ [] : [-(aElementOf0(493 ^ [_128651, _128653, _130281], _128651))], (499 ^ _114687) ^ [] : [-(sdtpldt0(492 ^ [_128651, _128653, _130281], 493 ^ [_128651, _128653, _130281]) = 477 ^ [_128651, _128653, _130281])], (501 ^ _114687) ^ [] : [aElementOf0(477 ^ [_128651, _128653, _130281], _130281)]], 480 ^ _114687 : [(481 ^ _114687) ^ [] : [-(aElementOf0(477 ^ [_128651, _128653, _130281], _130281))], (483 ^ _114687) ^ [_130710, _130712] : [aElementOf0(_130712, _128653), aElementOf0(_130710, _128651), sdtpldt0(_130712, _130710) = 477 ^ [_128651, _128653, _130281]]]], (440 ^ _114687) ^ [_128946] : [_128946 = sdtpldt1(_128653, _128651), 443 ^ _114687 : [(444 ^ _114687) ^ [] : [-(aSet0(_128946))], (446 ^ _114687) ^ [_129223] : [aElementOf0(_129223, _128946), 451 ^ _114687 : [(452 ^ _114687) ^ [] : [-(aElementOf0(449 ^ [_128651, _128653, _128946, _129223], _128653))], (454 ^ _114687) ^ [] : [-(aElementOf0(450 ^ [_128651, _128653, _128946, _129223], _128651))], (456 ^ _114687) ^ [] : [-(sdtpldt0(449 ^ [_128651, _128653, _128946, _129223], 450 ^ [_128651, _128653, _128946, _129223]) = _129223)]]], (458 ^ _114687) ^ [_129783] : [-(aElementOf0(_129783, _128946)), 459 ^ _114687 : [(460 ^ _114687) ^ [_129913, _129915] : [aElementOf0(_129915, _128653), aElementOf0(_129913, _128651), sdtpldt0(_129915, _129913) = _129783]]]]]]], (505 ^ _114687) ^ [_131631, _131633] : [aSet0(_131633), aSet0(_131631), 512 ^ _114687 : [(537 ^ _114687) ^ [_132710] : [-(_132710 = sdtasasdt0(_131633, _131631)), aSet0(_132710), 553 ^ _114687 : [(554 ^ _114687) ^ [] : [-(aElementOf0(542 ^ [_131631, _131633, _132710], _131633))], (556 ^ _114687) ^ [] : [-(aElementOf0(542 ^ [_131631, _131633, _132710], _131631))], (558 ^ _114687) ^ [] : [aElementOf0(542 ^ [_131631, _131633, _132710], _132710)]], 545 ^ _114687 : [(546 ^ _114687) ^ [] : [-(aElementOf0(542 ^ [_131631, _131633, _132710], _132710))], (548 ^ _114687) ^ [] : [aElementOf0(542 ^ [_131631, _131633, _132710], _131633), aElementOf0(542 ^ [_131631, _131633, _132710], _131631)]]], (513 ^ _114687) ^ [_131907] : [_131907 = sdtasasdt0(_131633, _131631), 516 ^ _114687 : [(517 ^ _114687) ^ [] : [-(aSet0(_131907))], (519 ^ _114687) ^ [_132165] : [aElementOf0(_132165, _131907), 522 ^ _114687 : [(523 ^ _114687) ^ [] : [-(aElementOf0(_132165, _131633))], (525 ^ _114687) ^ [] : [-(aElementOf0(_132165, _131631))]]], (527 ^ _114687) ^ [_132424] : [-(aElementOf0(_132424, _131907)), aElementOf0(_132424, _131633), aElementOf0(_132424, _131631)]]]]], (584 ^ _114687) ^ [_134375] : [-(aIdeal0(_134375)), aSet0(_134375), 590 ^ _114687 : [(591 ^ _114687) ^ [] : [-(aElementOf0(589 ^ [_134375], _134375))], (593 ^ _114687) ^ [] : [595 ^ _114687 : [(596 ^ _114687) ^ [] : [-(aElementOf0(594 ^ [_134375], _134375))], (598 ^ _114687) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_134375], 594 ^ [_134375]), _134375)]], 600 ^ _114687 : [(601 ^ _114687) ^ [] : [-(aElement0(599 ^ [_134375]))], (603 ^ _114687) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_134375], 589 ^ [_134375]), _134375)]]]]], (562 ^ _114687) ^ [_133580] : [aIdeal0(_133580), 565 ^ _114687 : [(566 ^ _114687) ^ [] : [-(aSet0(_133580))], (568 ^ _114687) ^ [_133812] : [aElementOf0(_133812, _133580), 571 ^ _114687 : [(572 ^ _114687) ^ [_133993] : [aElementOf0(_133993, _133580), -(aElementOf0(sdtpldt0(_133812, _133993), _133580))], (578 ^ _114687) ^ [_134185] : [aElement0(_134185), -(aElementOf0(sdtasdt0(_134185, _133812), _133580))]]]]], (607 ^ _114687) ^ [_135215, _135217] : [-(aIdeal0(sdtpldt1(_135217, _135215))), aIdeal0(_135217), aIdeal0(_135215)], (617 ^ _114687) ^ [_135514, _135516] : [-(aIdeal0(sdtasasdt0(_135516, _135514))), aIdeal0(_135516), aIdeal0(_135514)], (627 ^ _114687) ^ [_135827, _135829, _135831] : [aElement0(_135831), aElement0(_135829), aIdeal0(_135827), 638 ^ _114687 : [(639 ^ _114687) ^ [] : [sdteqdtlpzmzozddtrp0(_135831, _135829, _135827), -(aElementOf0(sdtpldt0(_135831, smndt0(_135829)), _135827))], (645 ^ _114687) ^ [] : [aElementOf0(sdtpldt0(_135831, smndt0(_135829)), _135827), -(sdteqdtlpzmzozddtrp0(_135831, _135829, _135827))]]], (651 ^ _114687) ^ [_136505, _136507] : [aIdeal0(_136507), aIdeal0(_136505), 661 ^ _114687 : [(662 ^ _114687) ^ [] : [-(aElement0(660 ^ [_136505, _136507]))], (664 ^ _114687) ^ [] : [aElementOf0(660 ^ [_136505, _136507], sdtpldt1(_136507, _136505))]], 665 ^ _114687 : [(666 ^ _114687) ^ [_137003, _137005] : [674 ^ _114687 : [(675 ^ _114687) ^ [] : [-(aElement0(673 ^ [_136505, _136507, _137003, _137005]))], (677 ^ _114687) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_136505, _136507, _137003, _137005], _137005, _136507))], (679 ^ _114687) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_136505, _136507, _137003, _137005], _137003, _136505))]], aElement0(_137005), aElement0(_137003)]]], (681 ^ _114687) ^ [_137583] : [aNaturalNumber0(_137583), true___, -(true___)], (691 ^ _114687) ^ [_137838] : [-(aNaturalNumber0(sbrdtbr0(_137838))), aElement0(_137838), -(_137838 = sz00)], (701 ^ _114687) ^ [_138130, _138132] : [aNaturalNumber0(_138132), aNaturalNumber0(_138130), iLess0(_138132, _138130), true___, -(true___)], (719 ^ _114687) ^ [_138590, _138592] : [732 ^ _114687 : [(733 ^ _114687) ^ [] : [-(aElement0(730 ^ [_138590, _138592]))], (735 ^ _114687) ^ [] : [-(aElement0(731 ^ [_138590, _138592]))], (737 ^ _114687) ^ [] : [-(_138592 = sdtpldt0(sdtasdt0(730 ^ [_138590, _138592], _138590), 731 ^ [_138590, _138592]))], (739 ^ _114687) ^ [] : [-(731 ^ [_138590, _138592] = sz00), -(iLess0(sbrdtbr0(731 ^ [_138590, _138592]), sbrdtbr0(_138590)))]], aElement0(_138592), aElement0(_138590), -(_138590 = sz00)], (745 ^ _114687) ^ [_139537, _139539] : [aElement0(_139539), aElement0(_139537), 752 ^ _114687 : [(753 ^ _114687) ^ [] : [doDivides0(_139539, _139537), 757 ^ _114687 : [(758 ^ _114687) ^ [] : [-(aElement0(756 ^ [_139537, _139539]))], (760 ^ _114687) ^ [] : [-(sdtasdt0(_139539, 756 ^ [_139537, _139539]) = _139537)]]], (762 ^ _114687) ^ [] : [-(doDivides0(_139539, _139537)), 763 ^ _114687 : [(764 ^ _114687) ^ [_140097] : [aElement0(_140097), sdtasdt0(_139539, _140097) = _139537]]]]], (772 ^ _114687) ^ [_140366] : [aElement0(_140366), 775 ^ _114687 : [(776 ^ _114687) ^ [_140531] : [aDivisorOf0(_140531, _140366), 779 ^ _114687 : [(780 ^ _114687) ^ [] : [-(aElement0(_140531))], (782 ^ _114687) ^ [] : [-(doDivides0(_140531, _140366))]]], (784 ^ _114687) ^ [_140768] : [-(aDivisorOf0(_140768, _140366)), aElement0(_140768), doDivides0(_140768, _140366)]]], (794 ^ _114687) ^ [_141074, _141076] : [aElement0(_141076), aElement0(_141074), 801 ^ _114687 : [(802 ^ _114687) ^ [_141355] : [aGcdOfAnd0(_141355, _141076, _141074), 805 ^ _114687 : [(806 ^ _114687) ^ [] : [-(aDivisorOf0(_141355, _141076))], (808 ^ _114687) ^ [] : [-(aDivisorOf0(_141355, _141074))], (810 ^ _114687) ^ [_141656] : [-(doDivides0(_141656, _141355)), aDivisorOf0(_141656, _141076), aDivisorOf0(_141656, _141074)]]], (820 ^ _114687) ^ [_141942] : [-(aGcdOfAnd0(_141942, _141076, _141074)), aDivisorOf0(_141942, _141076), aDivisorOf0(_141942, _141074), 830 ^ _114687 : [(831 ^ _114687) ^ [] : [-(aDivisorOf0(829 ^ [_141074, _141076, _141942], _141076))], (833 ^ _114687) ^ [] : [-(aDivisorOf0(829 ^ [_141074, _141076, _141942], _141074))], (835 ^ _114687) ^ [] : [doDivides0(829 ^ [_141074, _141076, _141942], _141942)]]]]], (839 ^ _114687) ^ [_142607, _142609] : [aElement0(_142609), aElement0(_142607), 846 ^ _114687 : [(847 ^ _114687) ^ [] : [misRelativelyPrime0(_142609, _142607), -(aGcdOfAnd0(sz10, _142609, _142607))], (853 ^ _114687) ^ [] : [aGcdOfAnd0(sz10, _142609, _142607), -(misRelativelyPrime0(_142609, _142607))]]], (914 ^ _114687) ^ [] : [-(aElement0(xc))], (916 ^ _114687) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (918 ^ _114687) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (920 ^ _114687) ^ [] : [-(aElement0(xz))], (922 ^ _114687) ^ [] : [-(aElement0(xu))], (924 ^ _114687) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (926 ^ _114687) ^ [] : [-(aElement0(xv))], (928 ^ _114687) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (930 ^ _114687) ^ [] : [-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))], (859 ^ _114687) ^ [_143143] : [aElement0(_143143), 862 ^ _114687 : [(888 ^ _114687) ^ [_144267] : [-(_144267 = slsdtgt0(_143143)), aSet0(_144267), 905 ^ _114687 : [(906 ^ _114687) ^ [] : [-(aElement0(904 ^ [_143143, _144267]))], (908 ^ _114687) ^ [] : [-(sdtasdt0(_143143, 904 ^ [_143143, _144267]) = 893 ^ [_143143, _144267])], (910 ^ _114687) ^ [] : [aElementOf0(893 ^ [_143143, _144267], _144267)]], 896 ^ _114687 : [(897 ^ _114687) ^ [] : [-(aElementOf0(893 ^ [_143143, _144267], _144267))], (899 ^ _114687) ^ [_144639] : [aElement0(_144639), sdtasdt0(_143143, _144639) = 893 ^ [_143143, _144267]]]], (863 ^ _114687) ^ [_143334] : [_143334 = slsdtgt0(_143143), 866 ^ _114687 : [(867 ^ _114687) ^ [] : [-(aSet0(_143334))], (869 ^ _114687) ^ [_143589] : [aElementOf0(_143589, _143334), 873 ^ _114687 : [(874 ^ _114687) ^ [] : [-(aElement0(872 ^ [_143143, _143334, _143589]))], (876 ^ _114687) ^ [] : [-(sdtasdt0(_143143, 872 ^ [_143143, _143334, _143589]) = _143589)]]], (878 ^ _114687) ^ [_143922] : [-(aElementOf0(_143922, _143334)), 879 ^ _114687 : [(880 ^ _114687) ^ [_144022] : [aElement0(_144022), sdtasdt0(_143143, _144022) = _143922]]]]]]]], input).
% 101.76/98.64 ncf('1',plain,[sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))],start(932 ^ 0)).
% 101.76/98.64 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([[_115142, _115144, _115146], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xz, sdtasdt0(xc, xu)), sdtasdt0(xz, xx)]]))).
% 101.76/98.64 ncf('1.1.1',plain,[-(sdtasdt0(xz, xx) = sdtasdt0(xz, sdtasdt0(xc, xu))), xz = xz, xx = sdtasdt0(xc, xu)],extension(214 ^ 2,bind([[_121818, _121820, _121822, _121824], [sdtasdt0(xc, xu), xx, xz, xz]]))).
% 101.76/98.64 ncf('1.1.1.1',plain,[-(xz = xz)],extension(2 ^ 3,bind([[_114831], [xz]]))).
% 101.76/98.64 ncf('1.1.1.2',plain,[-(xx = sdtasdt0(xc, xu)), sdtasdt0(xc, xu) = xx],extension(4 ^ 3,bind([[_114938, _114940], [xx, sdtasdt0(xc, xu)]]))).
% 101.76/98.64 ncf('1.1.1.2.1',plain,[-(sdtasdt0(xc, xu) = xx)],extension(924 ^ 4)).
% 101.76/98.64 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([[_115142, _115144, _115146], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(sdtasdt0(xc, xu), xz), sdtasdt0(xz, sdtasdt0(xc, xu))]]))).
% 101.76/98.64 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([[_124651, _124653], [sdtasdt0(xc, xu), xz]]))).
% 101.76/98.64 ncf('1.1.2.1.1',plain,[-(aElement0(xz))],extension(920 ^ 4)).
% 101.76/98.64 ncf('1.1.2.1.2',plain,[-(aElement0(sdtasdt0(xc, xu))), aElement0(xc), aElement0(xu)],extension(254 ^ 4,bind([[_123057, _123059], [xu, xc]]))).
% 101.76/98.64 ncf('1.1.2.1.2.1',plain,[-(aElement0(xc))],extension(914 ^ 5)).
% 101.76/98.64 ncf('1.1.2.1.2.2',plain,[-(aElement0(xu))],extension(922 ^ 5)).
% 101.76/98.64 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([[_115142, _115144, _115146], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(sdtasdt0(xc, xu), xz)]]))).
% 101.76/98.64 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([[_124972, _124974, _124976], [xz, xu, xc]]))).
% 101.76/98.64 ncf('1.1.2.2.1.1',plain,[-(aElement0(xc))],extension(914 ^ 5)).
% 101.76/98.64 ncf('1.1.2.2.1.2',plain,[-(aElement0(xu))],extension(922 ^ 5)).
% 101.76/98.64 ncf('1.1.2.2.1.3',plain,[-(aElement0(xz))],extension(920 ^ 5)).
% 101.76/98.64 ncf('1.1.2.2.2',plain,[-(sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xc, sdtasdt0(xu, xz)))],extension(2 ^ 4,bind([[_114831], [sdtasdt0(xc, sdtasdt0(xu, xz))]]))).
% 101.76/98.64 %-----------------------------------------------------
% 101.76/98.64 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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