TSTP Solution File: RNG105+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 98.67s
% Output : Proof 101.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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 20:22:36 EDT 2023
% 0.12/0.33 % CPUTime :
% 101.50/98.67
% 101.50/98.67 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.50/98.67 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.50/98.67 %-----------------------------------------------------
% 101.50/98.67 ncf(matrix, plain, [(934 ^ _116948) ^ [] : [aElementOf0(sdtpldt0(xx, xy), slsdtgt0(xc)), aElementOf0(sdtasdt0(xz, xx), slsdtgt0(xc))], (166 ^ _116948) ^ [_122368, _122370, _122372, _122374] : [-(sdtasasdt0(_122374, _122370) = sdtasasdt0(_122372, _122368)), _122374 = _122372, _122370 = _122368], (176 ^ _116948) ^ [_122699, _122701] : [_122701 = _122699, -(smndt0(_122701) = smndt0(_122699))], (182 ^ _116948) ^ [_122945, _122947, _122949, _122951] : [-(sdtpldt1(_122951, _122947) = sdtpldt1(_122949, _122945)), _122951 = _122949, _122947 = _122945], (192 ^ _116948) ^ [_123276, _123278] : [_123278 = _123276, -(sbrdtbr0(_123278) = sbrdtbr0(_123276))], (198 ^ _116948) ^ [_123522, _123524, _123526, _123528] : [-(sdtpldt0(_123528, _123524) = sdtpldt0(_123526, _123522)), _123528 = _123526, _123524 = _123522], (218 ^ _116948) ^ [_124192, _124194] : [_124194 = _124192, -(slsdtgt0(_124194) = slsdtgt0(_124192))], (208 ^ _116948) ^ [_123881, _123883, _123885, _123887] : [-(sdtasdt0(_123887, _123883) = sdtasdt0(_123885, _123881)), _123887 = _123885, _123883 = _123881], (2 ^ _116948) ^ [_117092] : [-(_117092 = _117092)], (4 ^ _116948) ^ [_117199, _117201] : [_117201 = _117199, -(_117199 = _117201)], (10 ^ _116948) ^ [_117403, _117405, _117407] : [-(_117407 = _117403), _117407 = _117405, _117405 = _117403], (20 ^ _116948) ^ [_117716, _117718] : [-(aIdeal0(_117716)), _117718 = _117716, aIdeal0(_117718)], (30 ^ _116948) ^ [_118067, _118069, _118071, _118073, _118075, _118077] : [-(sdteqdtlpzmzozddtrp0(_118075, _118071, _118067)), sdteqdtlpzmzozddtrp0(_118077, _118073, _118069), _118077 = _118075, _118073 = _118071, _118069 = _118067], (48 ^ _116948) ^ [_118620, _118622] : [-(aNaturalNumber0(_118620)), _118622 = _118620, aNaturalNumber0(_118622)], (58 ^ _116948) ^ [_118943, _118945, _118947, _118949] : [-(iLess0(_118947, _118943)), iLess0(_118949, _118945), _118949 = _118947, _118945 = _118943], (72 ^ _116948) ^ [_119387, _119389, _119391, _119393] : [-(aDivisorOf0(_119391, _119387)), aDivisorOf0(_119393, _119389), _119393 = _119391, _119389 = _119387], (86 ^ _116948) ^ [_119831, _119833, _119835, _119837] : [-(doDivides0(_119835, _119831)), doDivides0(_119837, _119833), _119837 = _119835, _119833 = _119831], (100 ^ _116948) ^ [_120275, _120277, _120279, _120281] : [-(misRelativelyPrime0(_120279, _120275)), misRelativelyPrime0(_120281, _120277), _120281 = _120279, _120277 = _120275], (114 ^ _116948) ^ [_120747, _120749, _120751, _120753, _120755, _120757] : [-(aGcdOfAnd0(_120755, _120751, _120747)), aGcdOfAnd0(_120757, _120753, _120749), _120757 = _120755, _120753 = _120751, _120749 = _120747], (132 ^ _116948) ^ [_121300, _121302] : [-(aSet0(_121300)), _121302 = _121300, aSet0(_121302)], (142 ^ _116948) ^ [_121595, _121597] : [-(aElement0(_121595)), _121597 = _121595, aElement0(_121597)], (152 ^ _116948) ^ [_121898, _121900, _121902, _121904] : [-(aElementOf0(_121902, _121898)), aElementOf0(_121904, _121900), _121904 = _121902, _121900 = _121898], (224 ^ _116948) ^ [_124454] : [aElement0(_124454), true___, -(true___)], (234 ^ _116948) ^ [] : [-(aElement0(sz00))], (236 ^ _116948) ^ [] : [-(aElement0(sz10))], (238 ^ _116948) ^ [_124815] : [aElement0(_124815), -(aElement0(smndt0(_124815)))], (244 ^ _116948) ^ [_125019, _125021] : [-(aElement0(sdtpldt0(_125021, _125019))), aElement0(_125021), aElement0(_125019)], (254 ^ _116948) ^ [_125318, _125320] : [-(aElement0(sdtasdt0(_125320, _125318))), aElement0(_125320), aElement0(_125318)], (264 ^ _116948) ^ [_125617, _125619] : [-(sdtpldt0(_125619, _125617) = sdtpldt0(_125617, _125619)), aElement0(_125619), aElement0(_125617)], (274 ^ _116948) ^ [_125938, _125940, _125942] : [-(sdtpldt0(sdtpldt0(_125942, _125940), _125938) = sdtpldt0(_125942, sdtpldt0(_125940, _125938))), aElement0(_125942), aElement0(_125940), aElement0(_125938)], (288 ^ _116948) ^ [_126344] : [aElement0(_126344), 291 ^ _116948 : [(292 ^ _116948) ^ [] : [-(sdtpldt0(_126344, sz00) = _126344)], (294 ^ _116948) ^ [] : [-(_126344 = sdtpldt0(sz00, _126344))]]], (296 ^ _116948) ^ [_126617] : [aElement0(_126617), 299 ^ _116948 : [(300 ^ _116948) ^ [] : [-(sdtpldt0(_126617, smndt0(_126617)) = sz00)], (302 ^ _116948) ^ [] : [-(sz00 = sdtpldt0(smndt0(_126617), _126617))]]], (304 ^ _116948) ^ [_126912, _126914] : [-(sdtasdt0(_126914, _126912) = sdtasdt0(_126912, _126914)), aElement0(_126914), aElement0(_126912)], (314 ^ _116948) ^ [_127233, _127235, _127237] : [-(sdtasdt0(sdtasdt0(_127237, _127235), _127233) = sdtasdt0(_127237, sdtasdt0(_127235, _127233))), aElement0(_127237), aElement0(_127235), aElement0(_127233)], (328 ^ _116948) ^ [_127639] : [aElement0(_127639), 331 ^ _116948 : [(332 ^ _116948) ^ [] : [-(sdtasdt0(_127639, sz10) = _127639)], (334 ^ _116948) ^ [] : [-(_127639 = sdtasdt0(sz10, _127639))]]], (336 ^ _116948) ^ [_127940, _127942, _127944] : [347 ^ _116948 : [(348 ^ _116948) ^ [] : [-(sdtasdt0(_127944, sdtpldt0(_127942, _127940)) = sdtpldt0(sdtasdt0(_127944, _127942), sdtasdt0(_127944, _127940)))], (350 ^ _116948) ^ [] : [-(sdtasdt0(sdtpldt0(_127942, _127940), _127944) = sdtpldt0(sdtasdt0(_127942, _127944), sdtasdt0(_127940, _127944)))]], aElement0(_127944), aElement0(_127942), aElement0(_127940)], (352 ^ _116948) ^ [_128459] : [aElement0(_128459), 355 ^ _116948 : [(356 ^ _116948) ^ [] : [-(sdtasdt0(smndt0(sz10), _128459) = smndt0(_128459))], (358 ^ _116948) ^ [] : [-(smndt0(_128459) = sdtasdt0(_128459, smndt0(sz10)))]]], (360 ^ _116948) ^ [_128740] : [aElement0(_128740), 363 ^ _116948 : [(364 ^ _116948) ^ [] : [-(sdtasdt0(_128740, sz00) = sz00)], (366 ^ _116948) ^ [] : [-(sz00 = sdtasdt0(sz00, _128740))]]], (368 ^ _116948) ^ [_129027, _129029] : [aElement0(_129029), aElement0(_129027), sdtasdt0(_129029, _129027) = sz00, -(_129029 = sz00), -(_129027 = sz00)], (386 ^ _116948) ^ [] : [sz10 = sz00], (388 ^ _116948) ^ [_129547] : [aSet0(_129547), true___, -(true___)], (398 ^ _116948) ^ [_129802] : [aSet0(_129802), 401 ^ _116948 : [(402 ^ _116948) ^ [_129932] : [aElementOf0(_129932, _129802), -(aElement0(_129932))]]], (408 ^ _116948) ^ [_130147, _130149] : [aSet0(_130149), aSet0(_130147), -(_130149 = _130147), 420 ^ _116948 : [(421 ^ _116948) ^ [] : [-(aElementOf0(419 ^ [_130147, _130149], _130149))], (423 ^ _116948) ^ [] : [aElementOf0(419 ^ [_130147, _130149], _130147)]], 425 ^ _116948 : [(426 ^ _116948) ^ [] : [-(aElementOf0(424 ^ [_130147, _130149], _130147))], (428 ^ _116948) ^ [] : [aElementOf0(424 ^ [_130147, _130149], _130149)]]], (432 ^ _116948) ^ [_130912, _130914] : [aSet0(_130914), aSet0(_130912), 439 ^ _116948 : [(472 ^ _116948) ^ [_132542] : [-(_132542 = sdtpldt1(_130914, _130912)), aSet0(_132542), 494 ^ _116948 : [(495 ^ _116948) ^ [] : [-(aElementOf0(492 ^ [_130912, _130914, _132542], _130914))], (497 ^ _116948) ^ [] : [-(aElementOf0(493 ^ [_130912, _130914, _132542], _130912))], (499 ^ _116948) ^ [] : [-(sdtpldt0(492 ^ [_130912, _130914, _132542], 493 ^ [_130912, _130914, _132542]) = 477 ^ [_130912, _130914, _132542])], (501 ^ _116948) ^ [] : [aElementOf0(477 ^ [_130912, _130914, _132542], _132542)]], 480 ^ _116948 : [(481 ^ _116948) ^ [] : [-(aElementOf0(477 ^ [_130912, _130914, _132542], _132542))], (483 ^ _116948) ^ [_132971, _132973] : [aElementOf0(_132973, _130914), aElementOf0(_132971, _130912), sdtpldt0(_132973, _132971) = 477 ^ [_130912, _130914, _132542]]]], (440 ^ _116948) ^ [_131207] : [_131207 = sdtpldt1(_130914, _130912), 443 ^ _116948 : [(444 ^ _116948) ^ [] : [-(aSet0(_131207))], (446 ^ _116948) ^ [_131484] : [aElementOf0(_131484, _131207), 451 ^ _116948 : [(452 ^ _116948) ^ [] : [-(aElementOf0(449 ^ [_130912, _130914, _131207, _131484], _130914))], (454 ^ _116948) ^ [] : [-(aElementOf0(450 ^ [_130912, _130914, _131207, _131484], _130912))], (456 ^ _116948) ^ [] : [-(sdtpldt0(449 ^ [_130912, _130914, _131207, _131484], 450 ^ [_130912, _130914, _131207, _131484]) = _131484)]]], (458 ^ _116948) ^ [_132044] : [-(aElementOf0(_132044, _131207)), 459 ^ _116948 : [(460 ^ _116948) ^ [_132174, _132176] : [aElementOf0(_132176, _130914), aElementOf0(_132174, _130912), sdtpldt0(_132176, _132174) = _132044]]]]]]], (505 ^ _116948) ^ [_133892, _133894] : [aSet0(_133894), aSet0(_133892), 512 ^ _116948 : [(537 ^ _116948) ^ [_134971] : [-(_134971 = sdtasasdt0(_133894, _133892)), aSet0(_134971), 553 ^ _116948 : [(554 ^ _116948) ^ [] : [-(aElementOf0(542 ^ [_133892, _133894, _134971], _133894))], (556 ^ _116948) ^ [] : [-(aElementOf0(542 ^ [_133892, _133894, _134971], _133892))], (558 ^ _116948) ^ [] : [aElementOf0(542 ^ [_133892, _133894, _134971], _134971)]], 545 ^ _116948 : [(546 ^ _116948) ^ [] : [-(aElementOf0(542 ^ [_133892, _133894, _134971], _134971))], (548 ^ _116948) ^ [] : [aElementOf0(542 ^ [_133892, _133894, _134971], _133894), aElementOf0(542 ^ [_133892, _133894, _134971], _133892)]]], (513 ^ _116948) ^ [_134168] : [_134168 = sdtasasdt0(_133894, _133892), 516 ^ _116948 : [(517 ^ _116948) ^ [] : [-(aSet0(_134168))], (519 ^ _116948) ^ [_134426] : [aElementOf0(_134426, _134168), 522 ^ _116948 : [(523 ^ _116948) ^ [] : [-(aElementOf0(_134426, _133894))], (525 ^ _116948) ^ [] : [-(aElementOf0(_134426, _133892))]]], (527 ^ _116948) ^ [_134685] : [-(aElementOf0(_134685, _134168)), aElementOf0(_134685, _133894), aElementOf0(_134685, _133892)]]]]], (584 ^ _116948) ^ [_136636] : [-(aIdeal0(_136636)), aSet0(_136636), 590 ^ _116948 : [(591 ^ _116948) ^ [] : [-(aElementOf0(589 ^ [_136636], _136636))], (593 ^ _116948) ^ [] : [595 ^ _116948 : [(596 ^ _116948) ^ [] : [-(aElementOf0(594 ^ [_136636], _136636))], (598 ^ _116948) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_136636], 594 ^ [_136636]), _136636)]], 600 ^ _116948 : [(601 ^ _116948) ^ [] : [-(aElement0(599 ^ [_136636]))], (603 ^ _116948) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_136636], 589 ^ [_136636]), _136636)]]]]], (562 ^ _116948) ^ [_135841] : [aIdeal0(_135841), 565 ^ _116948 : [(566 ^ _116948) ^ [] : [-(aSet0(_135841))], (568 ^ _116948) ^ [_136073] : [aElementOf0(_136073, _135841), 571 ^ _116948 : [(572 ^ _116948) ^ [_136254] : [aElementOf0(_136254, _135841), -(aElementOf0(sdtpldt0(_136073, _136254), _135841))], (578 ^ _116948) ^ [_136446] : [aElement0(_136446), -(aElementOf0(sdtasdt0(_136446, _136073), _135841))]]]]], (607 ^ _116948) ^ [_137476, _137478] : [-(aIdeal0(sdtpldt1(_137478, _137476))), aIdeal0(_137478), aIdeal0(_137476)], (617 ^ _116948) ^ [_137775, _137777] : [-(aIdeal0(sdtasasdt0(_137777, _137775))), aIdeal0(_137777), aIdeal0(_137775)], (627 ^ _116948) ^ [_138088, _138090, _138092] : [aElement0(_138092), aElement0(_138090), aIdeal0(_138088), 638 ^ _116948 : [(639 ^ _116948) ^ [] : [sdteqdtlpzmzozddtrp0(_138092, _138090, _138088), -(aElementOf0(sdtpldt0(_138092, smndt0(_138090)), _138088))], (645 ^ _116948) ^ [] : [aElementOf0(sdtpldt0(_138092, smndt0(_138090)), _138088), -(sdteqdtlpzmzozddtrp0(_138092, _138090, _138088))]]], (651 ^ _116948) ^ [_138766, _138768] : [aIdeal0(_138768), aIdeal0(_138766), 661 ^ _116948 : [(662 ^ _116948) ^ [] : [-(aElement0(660 ^ [_138766, _138768]))], (664 ^ _116948) ^ [] : [aElementOf0(660 ^ [_138766, _138768], sdtpldt1(_138768, _138766))]], 665 ^ _116948 : [(666 ^ _116948) ^ [_139264, _139266] : [674 ^ _116948 : [(675 ^ _116948) ^ [] : [-(aElement0(673 ^ [_138766, _138768, _139264, _139266]))], (677 ^ _116948) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_138766, _138768, _139264, _139266], _139266, _138768))], (679 ^ _116948) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_138766, _138768, _139264, _139266], _139264, _138766))]], aElement0(_139266), aElement0(_139264)]]], (681 ^ _116948) ^ [_139844] : [aNaturalNumber0(_139844), true___, -(true___)], (691 ^ _116948) ^ [_140099] : [-(aNaturalNumber0(sbrdtbr0(_140099))), aElement0(_140099), -(_140099 = sz00)], (701 ^ _116948) ^ [_140391, _140393] : [aNaturalNumber0(_140393), aNaturalNumber0(_140391), iLess0(_140393, _140391), true___, -(true___)], (719 ^ _116948) ^ [_140851, _140853] : [732 ^ _116948 : [(733 ^ _116948) ^ [] : [-(aElement0(730 ^ [_140851, _140853]))], (735 ^ _116948) ^ [] : [-(aElement0(731 ^ [_140851, _140853]))], (737 ^ _116948) ^ [] : [-(_140853 = sdtpldt0(sdtasdt0(730 ^ [_140851, _140853], _140851), 731 ^ [_140851, _140853]))], (739 ^ _116948) ^ [] : [-(731 ^ [_140851, _140853] = sz00), -(iLess0(sbrdtbr0(731 ^ [_140851, _140853]), sbrdtbr0(_140851)))]], aElement0(_140853), aElement0(_140851), -(_140851 = sz00)], (745 ^ _116948) ^ [_141798, _141800] : [aElement0(_141800), aElement0(_141798), 752 ^ _116948 : [(753 ^ _116948) ^ [] : [doDivides0(_141800, _141798), 757 ^ _116948 : [(758 ^ _116948) ^ [] : [-(aElement0(756 ^ [_141798, _141800]))], (760 ^ _116948) ^ [] : [-(sdtasdt0(_141800, 756 ^ [_141798, _141800]) = _141798)]]], (762 ^ _116948) ^ [] : [-(doDivides0(_141800, _141798)), 763 ^ _116948 : [(764 ^ _116948) ^ [_142358] : [aElement0(_142358), sdtasdt0(_141800, _142358) = _141798]]]]], (772 ^ _116948) ^ [_142627] : [aElement0(_142627), 775 ^ _116948 : [(776 ^ _116948) ^ [_142792] : [aDivisorOf0(_142792, _142627), 779 ^ _116948 : [(780 ^ _116948) ^ [] : [-(aElement0(_142792))], (782 ^ _116948) ^ [] : [-(doDivides0(_142792, _142627))]]], (784 ^ _116948) ^ [_143029] : [-(aDivisorOf0(_143029, _142627)), aElement0(_143029), doDivides0(_143029, _142627)]]], (794 ^ _116948) ^ [_143335, _143337] : [aElement0(_143337), aElement0(_143335), 801 ^ _116948 : [(802 ^ _116948) ^ [_143616] : [aGcdOfAnd0(_143616, _143337, _143335), 805 ^ _116948 : [(806 ^ _116948) ^ [] : [-(aDivisorOf0(_143616, _143337))], (808 ^ _116948) ^ [] : [-(aDivisorOf0(_143616, _143335))], (810 ^ _116948) ^ [_143917] : [-(doDivides0(_143917, _143616)), aDivisorOf0(_143917, _143337), aDivisorOf0(_143917, _143335)]]], (820 ^ _116948) ^ [_144203] : [-(aGcdOfAnd0(_144203, _143337, _143335)), aDivisorOf0(_144203, _143337), aDivisorOf0(_144203, _143335), 830 ^ _116948 : [(831 ^ _116948) ^ [] : [-(aDivisorOf0(829 ^ [_143335, _143337, _144203], _143337))], (833 ^ _116948) ^ [] : [-(aDivisorOf0(829 ^ [_143335, _143337, _144203], _143335))], (835 ^ _116948) ^ [] : [doDivides0(829 ^ [_143335, _143337, _144203], _144203)]]]]], (839 ^ _116948) ^ [_144868, _144870] : [aElement0(_144870), aElement0(_144868), 846 ^ _116948 : [(847 ^ _116948) ^ [] : [misRelativelyPrime0(_144870, _144868), -(aGcdOfAnd0(sz10, _144870, _144868))], (853 ^ _116948) ^ [] : [aGcdOfAnd0(sz10, _144870, _144868), -(misRelativelyPrime0(_144870, _144868))]]], (914 ^ _116948) ^ [] : [-(aElement0(xc))], (916 ^ _116948) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (918 ^ _116948) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (920 ^ _116948) ^ [] : [-(aElement0(xz))], (922 ^ _116948) ^ [] : [-(aElement0(xu))], (924 ^ _116948) ^ [] : [-(sdtasdt0(xc, xu) = xx)], (926 ^ _116948) ^ [] : [-(aElement0(xv))], (928 ^ _116948) ^ [] : [-(sdtasdt0(xc, xv) = xy)], (930 ^ _116948) ^ [] : [-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))], (932 ^ _116948) ^ [] : [-(sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz)))], (859 ^ _116948) ^ [_145404] : [aElement0(_145404), 862 ^ _116948 : [(888 ^ _116948) ^ [_146528] : [-(_146528 = slsdtgt0(_145404)), aSet0(_146528), 905 ^ _116948 : [(906 ^ _116948) ^ [] : [-(aElement0(904 ^ [_145404, _146528]))], (908 ^ _116948) ^ [] : [-(sdtasdt0(_145404, 904 ^ [_145404, _146528]) = 893 ^ [_145404, _146528])], (910 ^ _116948) ^ [] : [aElementOf0(893 ^ [_145404, _146528], _146528)]], 896 ^ _116948 : [(897 ^ _116948) ^ [] : [-(aElementOf0(893 ^ [_145404, _146528], _146528))], (899 ^ _116948) ^ [_146900] : [aElement0(_146900), sdtasdt0(_145404, _146900) = 893 ^ [_145404, _146528]]]], (863 ^ _116948) ^ [_145595] : [_145595 = slsdtgt0(_145404), 866 ^ _116948 : [(867 ^ _116948) ^ [] : [-(aSet0(_145595))], (869 ^ _116948) ^ [_145850] : [aElementOf0(_145850, _145595), 873 ^ _116948 : [(874 ^ _116948) ^ [] : [-(aElement0(872 ^ [_145404, _145595, _145850]))], (876 ^ _116948) ^ [] : [-(sdtasdt0(_145404, 872 ^ [_145404, _145595, _145850]) = _145850)]]], (878 ^ _116948) ^ [_146183] : [-(aElementOf0(_146183, _145595)), 879 ^ _116948 : [(880 ^ _116948) ^ [_146283] : [aElement0(_146283), sdtasdt0(_145404, _146283) = _146183]]]]]]]], input).
% 101.50/98.67 ncf('1',plain,[aElementOf0(sdtpldt0(xx, xy), slsdtgt0(xc)), aElementOf0(sdtasdt0(xz, xx), slsdtgt0(xc))],start(934 ^ 0)).
% 101.50/98.67 ncf('1.1',plain,[-(aElementOf0(sdtpldt0(xx, xy), slsdtgt0(xc))), 880 : aElement0(sdtpldt0(xu, xv)), 880 : sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy), 878 : slsdtgt0(xc) = slsdtgt0(xc), 863 : aElement0(xc)],extension(859 ^ 1,bind([[_145404, _145595, _146183, _146283], [xc, slsdtgt0(xc), sdtpldt0(xx, xy), sdtpldt0(xu, xv)]]))).
% 101.50/98.67 ncf('1.1.1',plain,[-(aElement0(sdtpldt0(xu, xv))), aElement0(xu), aElement0(xv)],extension(244 ^ 8,bind([[_125019, _125021], [xv, xu]]))).
% 101.50/98.67 ncf('1.1.1.1',plain,[-(aElement0(xu))],extension(922 ^ 9)).
% 101.50/98.67 ncf('1.1.1.2',plain,[-(aElement0(xv))],extension(926 ^ 9)).
% 101.50/98.67 ncf('1.1.2',plain,[-(sdtasdt0(xc, sdtpldt0(xu, xv)) = sdtpldt0(xx, xy)), sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv))],extension(4 ^ 8,bind([[_117199, _117201], [sdtasdt0(xc, sdtpldt0(xu, xv)), sdtpldt0(xx, xy)]]))).
% 101.50/98.67 ncf('1.1.2.1',plain,[-(sdtpldt0(xx, xy) = sdtasdt0(xc, sdtpldt0(xu, xv)))],extension(930 ^ 9)).
% 101.50/98.67 ncf('1.1.3',plain,[-(slsdtgt0(xc) = slsdtgt0(xc))],extension(2 ^ 4,bind([[_117092], [slsdtgt0(xc)]]))).
% 101.50/98.67 ncf('1.1.4',plain,[-(aElement0(xc))],extension(914 ^ 2)).
% 101.50/98.67 ncf('1.2',plain,[-(aElementOf0(sdtasdt0(xz, xx), slsdtgt0(xc))), 880 : aElement0(sdtasdt0(xu, xz)), 880 : sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xz, xx), 878 : slsdtgt0(xc) = slsdtgt0(xc), 863 : aElement0(xc)],extension(859 ^ 1,bind([[_145404, _145595, _146183, _146283], [xc, slsdtgt0(xc), sdtasdt0(xz, xx), sdtasdt0(xu, xz)]]))).
% 101.50/98.67 ncf('1.2.1',plain,[-(aElement0(sdtasdt0(xu, xz))), aElement0(xu), aElement0(xz)],extension(254 ^ 8,bind([[_125318, _125320], [xz, xu]]))).
% 101.50/98.67 ncf('1.2.1.1',plain,[-(aElement0(xu))],extension(922 ^ 9)).
% 101.50/98.67 ncf('1.2.1.2',plain,[-(aElement0(xz))],extension(920 ^ 9)).
% 101.50/98.67 ncf('1.2.2',plain,[-(sdtasdt0(xc, sdtasdt0(xu, xz)) = sdtasdt0(xz, xx)), sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz))],extension(4 ^ 8,bind([[_117199, _117201], [sdtasdt0(xc, sdtasdt0(xu, xz)), sdtasdt0(xz, xx)]]))).
% 101.50/98.67 ncf('1.2.2.1',plain,[-(sdtasdt0(xz, xx) = sdtasdt0(xc, sdtasdt0(xu, xz)))],extension(932 ^ 9)).
% 101.50/98.67 ncf('1.2.3',plain,[-(slsdtgt0(xc) = slsdtgt0(xc))],extension(2 ^ 4,bind([[_117092], [slsdtgt0(xc)]]))).
% 101.50/98.67 ncf('1.2.4',plain,[-(aElement0(xc))],extension(914 ^ 2)).
% 101.50/98.67 %-----------------------------------------------------
% 101.50/98.67 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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