TSTP Solution File: RNG101+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : RNG101+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 6.94s 7.61s
% Output   : Proof 6.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : RNG101+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 20:39:14 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 6.94/7.61  
% 6.94/7.61  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 6.94/7.61  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.94/7.61  %-----------------------------------------------------
% 6.94/7.61  ncf(matrix, plain, [(932 ^ _113390) ^ [_144680] : [aElement0(_144680), sdtasdt0(xc, _144680) = xx], (166 ^ _113390) ^ [_118810, _118812, _118814, _118816] : [-(sdtasasdt0(_118816, _118812) = sdtasasdt0(_118814, _118810)), _118816 = _118814, _118812 = _118810], (176 ^ _113390) ^ [_119141, _119143] : [_119143 = _119141, -(smndt0(_119143) = smndt0(_119141))], (182 ^ _113390) ^ [_119387, _119389, _119391, _119393] : [-(sdtpldt1(_119393, _119389) = sdtpldt1(_119391, _119387)), _119393 = _119391, _119389 = _119387], (192 ^ _113390) ^ [_119746, _119748, _119750, _119752] : [-(sdtpldt0(_119752, _119748) = sdtpldt0(_119750, _119746)), _119752 = _119750, _119748 = _119746], (202 ^ _113390) ^ [_120077, _120079] : [_120079 = _120077, -(sbrdtbr0(_120079) = sbrdtbr0(_120077))], (208 ^ _113390) ^ [_120295, _120297] : [_120297 = _120295, -(slsdtgt0(_120297) = slsdtgt0(_120295))], (214 ^ _113390) ^ [_120521, _120523, _120525, _120527] : [-(sdtasdt0(_120527, _120523) = sdtasdt0(_120525, _120521)), _120527 = _120525, _120523 = _120521], (2 ^ _113390) ^ [_113534] : [-(_113534 = _113534)], (4 ^ _113390) ^ [_113641, _113643] : [_113643 = _113641, -(_113641 = _113643)], (10 ^ _113390) ^ [_113845, _113847, _113849] : [-(_113849 = _113845), _113849 = _113847, _113847 = _113845], (20 ^ _113390) ^ [_114158, _114160] : [-(aIdeal0(_114158)), _114160 = _114158, aIdeal0(_114160)], (30 ^ _113390) ^ [_114509, _114511, _114513, _114515, _114517, _114519] : [-(sdteqdtlpzmzozddtrp0(_114517, _114513, _114509)), sdteqdtlpzmzozddtrp0(_114519, _114515, _114511), _114519 = _114517, _114515 = _114513, _114511 = _114509], (48 ^ _113390) ^ [_115062, _115064] : [-(aNaturalNumber0(_115062)), _115064 = _115062, aNaturalNumber0(_115064)], (58 ^ _113390) ^ [_115385, _115387, _115389, _115391] : [-(iLess0(_115389, _115385)), iLess0(_115391, _115387), _115391 = _115389, _115387 = _115385], (72 ^ _113390) ^ [_115829, _115831, _115833, _115835] : [-(aDivisorOf0(_115833, _115829)), aDivisorOf0(_115835, _115831), _115835 = _115833, _115831 = _115829], (86 ^ _113390) ^ [_116273, _116275, _116277, _116279] : [-(doDivides0(_116277, _116273)), doDivides0(_116279, _116275), _116279 = _116277, _116275 = _116273], (100 ^ _113390) ^ [_116717, _116719, _116721, _116723] : [-(misRelativelyPrime0(_116721, _116717)), misRelativelyPrime0(_116723, _116719), _116723 = _116721, _116719 = _116717], (114 ^ _113390) ^ [_117189, _117191, _117193, _117195, _117197, _117199] : [-(aGcdOfAnd0(_117197, _117193, _117189)), aGcdOfAnd0(_117199, _117195, _117191), _117199 = _117197, _117195 = _117193, _117191 = _117189], (132 ^ _113390) ^ [_117742, _117744] : [-(aSet0(_117742)), _117744 = _117742, aSet0(_117744)], (156 ^ _113390) ^ [_118461, _118463] : [-(aElement0(_118461)), _118463 = _118461, aElement0(_118463)], (142 ^ _113390) ^ [_118065, _118067, _118069, _118071] : [-(aElementOf0(_118069, _118065)), aElementOf0(_118071, _118067), _118071 = _118069, _118067 = _118065], (224 ^ _113390) ^ [_120896] : [aElement0(_120896), true___, -(true___)], (234 ^ _113390) ^ [] : [-(aElement0(sz00))], (236 ^ _113390) ^ [] : [-(aElement0(sz10))], (238 ^ _113390) ^ [_121257] : [aElement0(_121257), -(aElement0(smndt0(_121257)))], (244 ^ _113390) ^ [_121461, _121463] : [-(aElement0(sdtpldt0(_121463, _121461))), aElement0(_121463), aElement0(_121461)], (254 ^ _113390) ^ [_121760, _121762] : [-(aElement0(sdtasdt0(_121762, _121760))), aElement0(_121762), aElement0(_121760)], (264 ^ _113390) ^ [_122059, _122061] : [-(sdtpldt0(_122061, _122059) = sdtpldt0(_122059, _122061)), aElement0(_122061), aElement0(_122059)], (274 ^ _113390) ^ [_122380, _122382, _122384] : [-(sdtpldt0(sdtpldt0(_122384, _122382), _122380) = sdtpldt0(_122384, sdtpldt0(_122382, _122380))), aElement0(_122384), aElement0(_122382), aElement0(_122380)], (288 ^ _113390) ^ [_122786] : [aElement0(_122786), 291 ^ _113390 : [(292 ^ _113390) ^ [] : [-(sdtpldt0(_122786, sz00) = _122786)], (294 ^ _113390) ^ [] : [-(_122786 = sdtpldt0(sz00, _122786))]]], (296 ^ _113390) ^ [_123059] : [aElement0(_123059), 299 ^ _113390 : [(300 ^ _113390) ^ [] : [-(sdtpldt0(_123059, smndt0(_123059)) = sz00)], (302 ^ _113390) ^ [] : [-(sz00 = sdtpldt0(smndt0(_123059), _123059))]]], (304 ^ _113390) ^ [_123354, _123356] : [-(sdtasdt0(_123356, _123354) = sdtasdt0(_123354, _123356)), aElement0(_123356), aElement0(_123354)], (314 ^ _113390) ^ [_123675, _123677, _123679] : [-(sdtasdt0(sdtasdt0(_123679, _123677), _123675) = sdtasdt0(_123679, sdtasdt0(_123677, _123675))), aElement0(_123679), aElement0(_123677), aElement0(_123675)], (328 ^ _113390) ^ [_124081] : [aElement0(_124081), 331 ^ _113390 : [(332 ^ _113390) ^ [] : [-(sdtasdt0(_124081, sz10) = _124081)], (334 ^ _113390) ^ [] : [-(_124081 = sdtasdt0(sz10, _124081))]]], (336 ^ _113390) ^ [_124382, _124384, _124386] : [347 ^ _113390 : [(348 ^ _113390) ^ [] : [-(sdtasdt0(_124386, sdtpldt0(_124384, _124382)) = sdtpldt0(sdtasdt0(_124386, _124384), sdtasdt0(_124386, _124382)))], (350 ^ _113390) ^ [] : [-(sdtasdt0(sdtpldt0(_124384, _124382), _124386) = sdtpldt0(sdtasdt0(_124384, _124386), sdtasdt0(_124382, _124386)))]], aElement0(_124386), aElement0(_124384), aElement0(_124382)], (352 ^ _113390) ^ [_124901] : [aElement0(_124901), 355 ^ _113390 : [(356 ^ _113390) ^ [] : [-(sdtasdt0(smndt0(sz10), _124901) = smndt0(_124901))], (358 ^ _113390) ^ [] : [-(smndt0(_124901) = sdtasdt0(_124901, smndt0(sz10)))]]], (360 ^ _113390) ^ [_125182] : [aElement0(_125182), 363 ^ _113390 : [(364 ^ _113390) ^ [] : [-(sdtasdt0(_125182, sz00) = sz00)], (366 ^ _113390) ^ [] : [-(sz00 = sdtasdt0(sz00, _125182))]]], (368 ^ _113390) ^ [_125469, _125471] : [aElement0(_125471), aElement0(_125469), sdtasdt0(_125471, _125469) = sz00, -(_125471 = sz00), -(_125469 = sz00)], (386 ^ _113390) ^ [] : [sz10 = sz00], (388 ^ _113390) ^ [_125989] : [aSet0(_125989), true___, -(true___)], (398 ^ _113390) ^ [_126244] : [aSet0(_126244), 401 ^ _113390 : [(402 ^ _113390) ^ [_126374] : [aElementOf0(_126374, _126244), -(aElement0(_126374))]]], (408 ^ _113390) ^ [_126589, _126591] : [aSet0(_126591), aSet0(_126589), -(_126591 = _126589), 420 ^ _113390 : [(421 ^ _113390) ^ [] : [-(aElementOf0(419 ^ [_126589, _126591], _126591))], (423 ^ _113390) ^ [] : [aElementOf0(419 ^ [_126589, _126591], _126589)]], 425 ^ _113390 : [(426 ^ _113390) ^ [] : [-(aElementOf0(424 ^ [_126589, _126591], _126589))], (428 ^ _113390) ^ [] : [aElementOf0(424 ^ [_126589, _126591], _126591)]]], (432 ^ _113390) ^ [_127354, _127356] : [aSet0(_127356), aSet0(_127354), 439 ^ _113390 : [(472 ^ _113390) ^ [_128984] : [-(_128984 = sdtpldt1(_127356, _127354)), aSet0(_128984), 494 ^ _113390 : [(495 ^ _113390) ^ [] : [-(aElementOf0(492 ^ [_127354, _127356, _128984], _127356))], (497 ^ _113390) ^ [] : [-(aElementOf0(493 ^ [_127354, _127356, _128984], _127354))], (499 ^ _113390) ^ [] : [-(sdtpldt0(492 ^ [_127354, _127356, _128984], 493 ^ [_127354, _127356, _128984]) = 477 ^ [_127354, _127356, _128984])], (501 ^ _113390) ^ [] : [aElementOf0(477 ^ [_127354, _127356, _128984], _128984)]], 480 ^ _113390 : [(481 ^ _113390) ^ [] : [-(aElementOf0(477 ^ [_127354, _127356, _128984], _128984))], (483 ^ _113390) ^ [_129413, _129415] : [aElementOf0(_129415, _127356), aElementOf0(_129413, _127354), sdtpldt0(_129415, _129413) = 477 ^ [_127354, _127356, _128984]]]], (440 ^ _113390) ^ [_127649] : [_127649 = sdtpldt1(_127356, _127354), 443 ^ _113390 : [(444 ^ _113390) ^ [] : [-(aSet0(_127649))], (446 ^ _113390) ^ [_127926] : [aElementOf0(_127926, _127649), 451 ^ _113390 : [(452 ^ _113390) ^ [] : [-(aElementOf0(449 ^ [_127354, _127356, _127649, _127926], _127356))], (454 ^ _113390) ^ [] : [-(aElementOf0(450 ^ [_127354, _127356, _127649, _127926], _127354))], (456 ^ _113390) ^ [] : [-(sdtpldt0(449 ^ [_127354, _127356, _127649, _127926], 450 ^ [_127354, _127356, _127649, _127926]) = _127926)]]], (458 ^ _113390) ^ [_128486] : [-(aElementOf0(_128486, _127649)), 459 ^ _113390 : [(460 ^ _113390) ^ [_128616, _128618] : [aElementOf0(_128618, _127356), aElementOf0(_128616, _127354), sdtpldt0(_128618, _128616) = _128486]]]]]]], (505 ^ _113390) ^ [_130334, _130336] : [aSet0(_130336), aSet0(_130334), 512 ^ _113390 : [(537 ^ _113390) ^ [_131413] : [-(_131413 = sdtasasdt0(_130336, _130334)), aSet0(_131413), 553 ^ _113390 : [(554 ^ _113390) ^ [] : [-(aElementOf0(542 ^ [_130334, _130336, _131413], _130336))], (556 ^ _113390) ^ [] : [-(aElementOf0(542 ^ [_130334, _130336, _131413], _130334))], (558 ^ _113390) ^ [] : [aElementOf0(542 ^ [_130334, _130336, _131413], _131413)]], 545 ^ _113390 : [(546 ^ _113390) ^ [] : [-(aElementOf0(542 ^ [_130334, _130336, _131413], _131413))], (548 ^ _113390) ^ [] : [aElementOf0(542 ^ [_130334, _130336, _131413], _130336), aElementOf0(542 ^ [_130334, _130336, _131413], _130334)]]], (513 ^ _113390) ^ [_130610] : [_130610 = sdtasasdt0(_130336, _130334), 516 ^ _113390 : [(517 ^ _113390) ^ [] : [-(aSet0(_130610))], (519 ^ _113390) ^ [_130868] : [aElementOf0(_130868, _130610), 522 ^ _113390 : [(523 ^ _113390) ^ [] : [-(aElementOf0(_130868, _130336))], (525 ^ _113390) ^ [] : [-(aElementOf0(_130868, _130334))]]], (527 ^ _113390) ^ [_131127] : [-(aElementOf0(_131127, _130610)), aElementOf0(_131127, _130336), aElementOf0(_131127, _130334)]]]]], (584 ^ _113390) ^ [_133078] : [-(aIdeal0(_133078)), aSet0(_133078), 590 ^ _113390 : [(591 ^ _113390) ^ [] : [-(aElementOf0(589 ^ [_133078], _133078))], (593 ^ _113390) ^ [] : [595 ^ _113390 : [(596 ^ _113390) ^ [] : [-(aElementOf0(594 ^ [_133078], _133078))], (598 ^ _113390) ^ [] : [aElementOf0(sdtpldt0(589 ^ [_133078], 594 ^ [_133078]), _133078)]], 600 ^ _113390 : [(601 ^ _113390) ^ [] : [-(aElement0(599 ^ [_133078]))], (603 ^ _113390) ^ [] : [aElementOf0(sdtasdt0(599 ^ [_133078], 589 ^ [_133078]), _133078)]]]]], (562 ^ _113390) ^ [_132283] : [aIdeal0(_132283), 565 ^ _113390 : [(566 ^ _113390) ^ [] : [-(aSet0(_132283))], (568 ^ _113390) ^ [_132515] : [aElementOf0(_132515, _132283), 571 ^ _113390 : [(572 ^ _113390) ^ [_132696] : [aElementOf0(_132696, _132283), -(aElementOf0(sdtpldt0(_132515, _132696), _132283))], (578 ^ _113390) ^ [_132888] : [aElement0(_132888), -(aElementOf0(sdtasdt0(_132888, _132515), _132283))]]]]], (607 ^ _113390) ^ [_133918, _133920] : [-(aIdeal0(sdtpldt1(_133920, _133918))), aIdeal0(_133920), aIdeal0(_133918)], (617 ^ _113390) ^ [_134217, _134219] : [-(aIdeal0(sdtasasdt0(_134219, _134217))), aIdeal0(_134219), aIdeal0(_134217)], (627 ^ _113390) ^ [_134530, _134532, _134534] : [aElement0(_134534), aElement0(_134532), aIdeal0(_134530), 638 ^ _113390 : [(639 ^ _113390) ^ [] : [sdteqdtlpzmzozddtrp0(_134534, _134532, _134530), -(aElementOf0(sdtpldt0(_134534, smndt0(_134532)), _134530))], (645 ^ _113390) ^ [] : [aElementOf0(sdtpldt0(_134534, smndt0(_134532)), _134530), -(sdteqdtlpzmzozddtrp0(_134534, _134532, _134530))]]], (651 ^ _113390) ^ [_135208, _135210] : [aIdeal0(_135210), aIdeal0(_135208), 661 ^ _113390 : [(662 ^ _113390) ^ [] : [-(aElement0(660 ^ [_135208, _135210]))], (664 ^ _113390) ^ [] : [aElementOf0(660 ^ [_135208, _135210], sdtpldt1(_135210, _135208))]], 665 ^ _113390 : [(666 ^ _113390) ^ [_135706, _135708] : [674 ^ _113390 : [(675 ^ _113390) ^ [] : [-(aElement0(673 ^ [_135208, _135210, _135706, _135708]))], (677 ^ _113390) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_135208, _135210, _135706, _135708], _135708, _135210))], (679 ^ _113390) ^ [] : [-(sdteqdtlpzmzozddtrp0(673 ^ [_135208, _135210, _135706, _135708], _135706, _135208))]], aElement0(_135708), aElement0(_135706)]]], (681 ^ _113390) ^ [_136286] : [aNaturalNumber0(_136286), true___, -(true___)], (691 ^ _113390) ^ [_136541] : [-(aNaturalNumber0(sbrdtbr0(_136541))), aElement0(_136541), -(_136541 = sz00)], (701 ^ _113390) ^ [_136833, _136835] : [aNaturalNumber0(_136835), aNaturalNumber0(_136833), iLess0(_136835, _136833), true___, -(true___)], (719 ^ _113390) ^ [_137293, _137295] : [732 ^ _113390 : [(733 ^ _113390) ^ [] : [-(aElement0(730 ^ [_137293, _137295]))], (735 ^ _113390) ^ [] : [-(aElement0(731 ^ [_137293, _137295]))], (737 ^ _113390) ^ [] : [-(_137295 = sdtpldt0(sdtasdt0(730 ^ [_137293, _137295], _137293), 731 ^ [_137293, _137295]))], (739 ^ _113390) ^ [] : [-(731 ^ [_137293, _137295] = sz00), -(iLess0(sbrdtbr0(731 ^ [_137293, _137295]), sbrdtbr0(_137293)))]], aElement0(_137295), aElement0(_137293), -(_137293 = sz00)], (745 ^ _113390) ^ [_138240, _138242] : [aElement0(_138242), aElement0(_138240), 752 ^ _113390 : [(753 ^ _113390) ^ [] : [doDivides0(_138242, _138240), 757 ^ _113390 : [(758 ^ _113390) ^ [] : [-(aElement0(756 ^ [_138240, _138242]))], (760 ^ _113390) ^ [] : [-(sdtasdt0(_138242, 756 ^ [_138240, _138242]) = _138240)]]], (762 ^ _113390) ^ [] : [-(doDivides0(_138242, _138240)), 763 ^ _113390 : [(764 ^ _113390) ^ [_138800] : [aElement0(_138800), sdtasdt0(_138242, _138800) = _138240]]]]], (772 ^ _113390) ^ [_139069] : [aElement0(_139069), 775 ^ _113390 : [(776 ^ _113390) ^ [_139234] : [aDivisorOf0(_139234, _139069), 779 ^ _113390 : [(780 ^ _113390) ^ [] : [-(aElement0(_139234))], (782 ^ _113390) ^ [] : [-(doDivides0(_139234, _139069))]]], (784 ^ _113390) ^ [_139471] : [-(aDivisorOf0(_139471, _139069)), aElement0(_139471), doDivides0(_139471, _139069)]]], (794 ^ _113390) ^ [_139777, _139779] : [aElement0(_139779), aElement0(_139777), 801 ^ _113390 : [(802 ^ _113390) ^ [_140058] : [aGcdOfAnd0(_140058, _139779, _139777), 805 ^ _113390 : [(806 ^ _113390) ^ [] : [-(aDivisorOf0(_140058, _139779))], (808 ^ _113390) ^ [] : [-(aDivisorOf0(_140058, _139777))], (810 ^ _113390) ^ [_140359] : [-(doDivides0(_140359, _140058)), aDivisorOf0(_140359, _139779), aDivisorOf0(_140359, _139777)]]], (820 ^ _113390) ^ [_140645] : [-(aGcdOfAnd0(_140645, _139779, _139777)), aDivisorOf0(_140645, _139779), aDivisorOf0(_140645, _139777), 830 ^ _113390 : [(831 ^ _113390) ^ [] : [-(aDivisorOf0(829 ^ [_139777, _139779, _140645], _139779))], (833 ^ _113390) ^ [] : [-(aDivisorOf0(829 ^ [_139777, _139779, _140645], _139777))], (835 ^ _113390) ^ [] : [doDivides0(829 ^ [_139777, _139779, _140645], _140645)]]]]], (839 ^ _113390) ^ [_141310, _141312] : [aElement0(_141312), aElement0(_141310), 846 ^ _113390 : [(847 ^ _113390) ^ [] : [misRelativelyPrime0(_141312, _141310), -(aGcdOfAnd0(sz10, _141312, _141310))], (853 ^ _113390) ^ [] : [aGcdOfAnd0(sz10, _141312, _141310), -(misRelativelyPrime0(_141312, _141310))]]], (914 ^ _113390) ^ [] : [-(aElement0(xc))], (917 ^ _113390) ^ [] : [-(aElement0(915 ^ []))], (919 ^ _113390) ^ [] : [-(sdtasdt0(xc, 915 ^ []) = xx)], (921 ^ _113390) ^ [] : [-(aElementOf0(xx, slsdtgt0(xc)))], (924 ^ _113390) ^ [] : [-(aElement0(922 ^ []))], (926 ^ _113390) ^ [] : [-(sdtasdt0(xc, 922 ^ []) = xy)], (928 ^ _113390) ^ [] : [-(aElementOf0(xy, slsdtgt0(xc)))], (930 ^ _113390) ^ [] : [-(aElement0(xz))], (859 ^ _113390) ^ [_141846] : [aElement0(_141846), 862 ^ _113390 : [(888 ^ _113390) ^ [_142970] : [-(_142970 = slsdtgt0(_141846)), aSet0(_142970), 905 ^ _113390 : [(906 ^ _113390) ^ [] : [-(aElement0(904 ^ [_141846, _142970]))], (908 ^ _113390) ^ [] : [-(sdtasdt0(_141846, 904 ^ [_141846, _142970]) = 893 ^ [_141846, _142970])], (910 ^ _113390) ^ [] : [aElementOf0(893 ^ [_141846, _142970], _142970)]], 896 ^ _113390 : [(897 ^ _113390) ^ [] : [-(aElementOf0(893 ^ [_141846, _142970], _142970))], (899 ^ _113390) ^ [_143342] : [aElement0(_143342), sdtasdt0(_141846, _143342) = 893 ^ [_141846, _142970]]]], (863 ^ _113390) ^ [_142037] : [_142037 = slsdtgt0(_141846), 866 ^ _113390 : [(867 ^ _113390) ^ [] : [-(aSet0(_142037))], (869 ^ _113390) ^ [_142292] : [aElementOf0(_142292, _142037), 873 ^ _113390 : [(874 ^ _113390) ^ [] : [-(aElement0(872 ^ [_141846, _142037, _142292]))], (876 ^ _113390) ^ [] : [-(sdtasdt0(_141846, 872 ^ [_141846, _142037, _142292]) = _142292)]]], (878 ^ _113390) ^ [_142625] : [-(aElementOf0(_142625, _142037)), 879 ^ _113390 : [(880 ^ _113390) ^ [_142725] : [aElement0(_142725), sdtasdt0(_141846, _142725) = _142625]]]]]]]], input).
% 6.94/7.61  ncf('1',plain,[sz10 = sz00],start(386 ^ 0)).
% 6.94/7.61  ncf('1.1',plain,[-(sz10 = sz00), 737 : -(915 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []])), 737 : aElement0(915 ^ []), 737 : aElement0(sz10)],extension(719 ^ 1,bind([[_137293, _137295], [sz10, 915 ^ []]]))).
% 6.94/7.61  ncf('1.1.1',plain,[915 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]), -(sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]) = 915 ^ [])],extension(4 ^ 4,bind([[_113641, _113643], [sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]), 915 ^ []]]))).
% 6.94/7.61  ncf('1.1.1.1',plain,[sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]) = 915 ^ [], -(aElement0(915 ^ [])), aElement0(sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]))],extension(156 ^ 5,bind([[_118461, _118463], [915 ^ [], sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []])]]))).
% 6.94/7.61  ncf('1.1.1.1.1',plain,[aElement0(915 ^ []), sdtasdt0(xc, 915 ^ []) = xx],extension(932 ^ 6,bind([[_144680], [915 ^ []]]))).
% 6.94/7.61  ncf('1.1.1.1.1.1',plain,[-(sdtasdt0(xc, 915 ^ []) = xx)],extension(919 ^ 7)).
% 6.94/7.61  ncf('1.1.1.1.2',plain,[-(aElement0(sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]))), 915 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]), aElement0(915 ^ [])],extension(156 ^ 6,bind([[_118461, _118463], [sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]), 915 ^ []]]))).
% 6.94/7.61  ncf('1.1.1.1.2.1',plain,[-(915 ^ [] = sdtpldt0(sdtasdt0(730 ^ [sz10, 915 ^ []], sz10), 731 ^ [sz10, 915 ^ []]))],reduction('1.1')).
% 6.94/7.61  ncf('1.1.1.1.2.2',plain,[-(aElement0(915 ^ []))],extension(917 ^ 7)).
% 6.94/7.61  ncf('1.1.2',plain,[-(aElement0(915 ^ []))],extension(917 ^ 2)).
% 6.94/7.61  ncf('1.1.3',plain,[-(aElement0(sz10))],extension(236 ^ 2)).
% 6.94/7.61  %-----------------------------------------------------
% 6.94/7.61  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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