TSTP Solution File: NUM523+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM523+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 11:44:52 EDT 2023

% Result   : Theorem 101.50s 98.82s
% Output   : Proof 101.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM523+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 17:09:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 101.50/98.82  
% 101.50/98.82  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 101.50/98.82  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 101.50/98.82  %-----------------------------------------------------
% 101.50/98.82  ncf(matrix, plain, [(878 ^ _114098) ^ [] : [doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)], (82 ^ _114098) ^ [_116810, _116812, _116814, _116816] : [-(sdtmndt0(_116816, _116812) = sdtmndt0(_116814, _116810)), _116816 = _116814, _116812 = _116810], (92 ^ _114098) ^ [_117169, _117171, _117173, _117175] : [-(sdtpldt0(_117175, _117171) = sdtpldt0(_117173, _117169)), _117175 = _117173, _117171 = _117169], (102 ^ _114098) ^ [_117528, _117530, _117532, _117534] : [-(sdtsldt0(_117534, _117530) = sdtsldt0(_117532, _117528)), _117534 = _117532, _117530 = _117528], (112 ^ _114098) ^ [_117867, _117869, _117871, _117873] : [-(sdtasdt0(_117873, _117869) = sdtasdt0(_117871, _117867)), _117873 = _117871, _117869 = _117867], (2 ^ _114098) ^ [_114242] : [-(_114242 = _114242)], (4 ^ _114098) ^ [_114349, _114351] : [_114351 = _114349, -(_114349 = _114351)], (10 ^ _114098) ^ [_114553, _114555, _114557] : [-(_114557 = _114553), _114557 = _114555, _114555 = _114553], (20 ^ _114098) ^ [_114894, _114896, _114898, _114900] : [-(sdtlseqdt0(_114898, _114894)), sdtlseqdt0(_114900, _114896), _114900 = _114898, _114896 = _114894], (34 ^ _114098) ^ [_115310, _115312] : [-(aNaturalNumber0(_115310)), _115312 = _115310, aNaturalNumber0(_115312)], (44 ^ _114098) ^ [_115633, _115635, _115637, _115639] : [-(iLess0(_115637, _115633)), iLess0(_115639, _115635), _115639 = _115637, _115635 = _115633], (58 ^ _114098) ^ [_116049, _116051] : [-(isPrime0(_116049)), _116051 = _116049, isPrime0(_116051)], (68 ^ _114098) ^ [_116352, _116354, _116356, _116358] : [-(doDivides0(_116356, _116352)), doDivides0(_116358, _116354), _116358 = _116356, _116354 = _116352], (122 ^ _114098) ^ [_118198] : [aNaturalNumber0(_118198), true___, -(true___)], (132 ^ _114098) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _114098) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _114098) ^ [] : [sz10 = sz00], (138 ^ _114098) ^ [_118627, _118629] : [-(aNaturalNumber0(sdtpldt0(_118629, _118627))), aNaturalNumber0(_118629), aNaturalNumber0(_118627)], (148 ^ _114098) ^ [_118926, _118928] : [-(aNaturalNumber0(sdtasdt0(_118928, _118926))), aNaturalNumber0(_118928), aNaturalNumber0(_118926)], (158 ^ _114098) ^ [_119225, _119227] : [-(sdtpldt0(_119227, _119225) = sdtpldt0(_119225, _119227)), aNaturalNumber0(_119227), aNaturalNumber0(_119225)], (168 ^ _114098) ^ [_119546, _119548, _119550] : [-(sdtpldt0(sdtpldt0(_119550, _119548), _119546) = sdtpldt0(_119550, sdtpldt0(_119548, _119546))), aNaturalNumber0(_119550), aNaturalNumber0(_119548), aNaturalNumber0(_119546)], (182 ^ _114098) ^ [_119952] : [aNaturalNumber0(_119952), 185 ^ _114098 : [(186 ^ _114098) ^ [] : [-(sdtpldt0(_119952, sz00) = _119952)], (188 ^ _114098) ^ [] : [-(_119952 = sdtpldt0(sz00, _119952))]]], (190 ^ _114098) ^ [_120239, _120241] : [-(sdtasdt0(_120241, _120239) = sdtasdt0(_120239, _120241)), aNaturalNumber0(_120241), aNaturalNumber0(_120239)], (200 ^ _114098) ^ [_120560, _120562, _120564] : [-(sdtasdt0(sdtasdt0(_120564, _120562), _120560) = sdtasdt0(_120564, sdtasdt0(_120562, _120560))), aNaturalNumber0(_120564), aNaturalNumber0(_120562), aNaturalNumber0(_120560)], (214 ^ _114098) ^ [_120966] : [aNaturalNumber0(_120966), 217 ^ _114098 : [(218 ^ _114098) ^ [] : [-(sdtasdt0(_120966, sz10) = _120966)], (220 ^ _114098) ^ [] : [-(_120966 = sdtasdt0(sz10, _120966))]]], (222 ^ _114098) ^ [_121239] : [aNaturalNumber0(_121239), 225 ^ _114098 : [(226 ^ _114098) ^ [] : [-(sdtasdt0(_121239, sz00) = sz00)], (228 ^ _114098) ^ [] : [-(sz00 = sdtasdt0(sz00, _121239))]]], (230 ^ _114098) ^ [_121540, _121542, _121544] : [241 ^ _114098 : [(242 ^ _114098) ^ [] : [-(sdtasdt0(_121544, sdtpldt0(_121542, _121540)) = sdtpldt0(sdtasdt0(_121544, _121542), sdtasdt0(_121544, _121540)))], (244 ^ _114098) ^ [] : [-(sdtasdt0(sdtpldt0(_121542, _121540), _121544) = sdtpldt0(sdtasdt0(_121542, _121544), sdtasdt0(_121540, _121544)))]], aNaturalNumber0(_121544), aNaturalNumber0(_121542), aNaturalNumber0(_121540)], (246 ^ _114098) ^ [_122087, _122089, _122091] : [259 ^ _114098 : [(260 ^ _114098) ^ [] : [sdtpldt0(_122091, _122089) = sdtpldt0(_122091, _122087)], (262 ^ _114098) ^ [] : [sdtpldt0(_122089, _122091) = sdtpldt0(_122087, _122091)]], -(_122089 = _122087), aNaturalNumber0(_122091), aNaturalNumber0(_122089), aNaturalNumber0(_122087)], (266 ^ _114098) ^ [_122664] : [aNaturalNumber0(_122664), -(_122664 = sz00), 273 ^ _114098 : [(274 ^ _114098) ^ [_122926, _122928] : [aNaturalNumber0(_122928), aNaturalNumber0(_122926), 283 ^ _114098 : [(284 ^ _114098) ^ [] : [sdtasdt0(_122664, _122928) = sdtasdt0(_122664, _122926)], (286 ^ _114098) ^ [] : [sdtasdt0(_122928, _122664) = sdtasdt0(_122926, _122664)]], -(_122928 = _122926)]]], (290 ^ _114098) ^ [_123437, _123439] : [aNaturalNumber0(_123439), aNaturalNumber0(_123437), sdtpldt0(_123439, _123437) = sz00, 301 ^ _114098 : [(302 ^ _114098) ^ [] : [-(_123439 = sz00)], (304 ^ _114098) ^ [] : [-(_123437 = sz00)]]], (306 ^ _114098) ^ [_123904, _123906] : [aNaturalNumber0(_123906), aNaturalNumber0(_123904), sdtasdt0(_123906, _123904) = sz00, -(_123906 = sz00), -(_123904 = sz00)], (324 ^ _114098) ^ [_124386, _124388] : [aNaturalNumber0(_124388), aNaturalNumber0(_124386), 331 ^ _114098 : [(332 ^ _114098) ^ [] : [sdtlseqdt0(_124388, _124386), 336 ^ _114098 : [(337 ^ _114098) ^ [] : [-(aNaturalNumber0(335 ^ [_124386, _124388]))], (339 ^ _114098) ^ [] : [-(sdtpldt0(_124388, 335 ^ [_124386, _124388]) = _124386)]]], (341 ^ _114098) ^ [] : [-(sdtlseqdt0(_124388, _124386)), 342 ^ _114098 : [(343 ^ _114098) ^ [_124946] : [aNaturalNumber0(_124946), sdtpldt0(_124388, _124946) = _124386]]]]], (351 ^ _114098) ^ [_125229, _125231] : [aNaturalNumber0(_125231), aNaturalNumber0(_125229), sdtlseqdt0(_125231, _125229), 362 ^ _114098 : [(363 ^ _114098) ^ [_125576] : [_125576 = sdtmndt0(_125229, _125231), 366 ^ _114098 : [(367 ^ _114098) ^ [] : [-(aNaturalNumber0(_125576))], (369 ^ _114098) ^ [] : [-(sdtpldt0(_125231, _125576) = _125229)]]], (371 ^ _114098) ^ [_125835] : [-(_125835 = sdtmndt0(_125229, _125231)), aNaturalNumber0(_125835), sdtpldt0(_125231, _125835) = _125229]]], (381 ^ _114098) ^ [_126157] : [aNaturalNumber0(_126157), -(sdtlseqdt0(_126157, _126157))], (387 ^ _114098) ^ [_126359, _126361] : [aNaturalNumber0(_126361), aNaturalNumber0(_126359), -(_126361 = _126359), sdtlseqdt0(_126361, _126359), sdtlseqdt0(_126359, _126361)], (405 ^ _114098) ^ [_126848, _126850, _126852] : [aNaturalNumber0(_126852), aNaturalNumber0(_126850), aNaturalNumber0(_126848), -(sdtlseqdt0(_126852, _126848)), sdtlseqdt0(_126852, _126850), sdtlseqdt0(_126850, _126848)], (427 ^ _114098) ^ [_127434, _127436] : [aNaturalNumber0(_127436), aNaturalNumber0(_127434), -(sdtlseqdt0(_127436, _127434)), 438 ^ _114098 : [(439 ^ _114098) ^ [] : [_127434 = _127436], (441 ^ _114098) ^ [] : [-(sdtlseqdt0(_127434, _127436))]]], (443 ^ _114098) ^ [_127897, _127899] : [aNaturalNumber0(_127899), aNaturalNumber0(_127897), -(_127899 = _127897), sdtlseqdt0(_127899, _127897), 458 ^ _114098 : [(459 ^ _114098) ^ [_128341] : [aNaturalNumber0(_128341), 462 ^ _114098 : [(463 ^ _114098) ^ [] : [sdtpldt0(_128341, _127899) = sdtpldt0(_128341, _127897)], (465 ^ _114098) ^ [] : [-(sdtlseqdt0(sdtpldt0(_128341, _127899), sdtpldt0(_128341, _127897)))], (467 ^ _114098) ^ [] : [sdtpldt0(_127899, _128341) = sdtpldt0(_127897, _128341)], (469 ^ _114098) ^ [] : [-(sdtlseqdt0(sdtpldt0(_127899, _128341), sdtpldt0(_127897, _128341)))]]]]], (471 ^ _114098) ^ [_128865, _128867, _128869] : [aNaturalNumber0(_128869), aNaturalNumber0(_128867), aNaturalNumber0(_128865), 494 ^ _114098 : [(495 ^ _114098) ^ [] : [sdtasdt0(_128869, _128867) = sdtasdt0(_128869, _128865)], (497 ^ _114098) ^ [] : [-(sdtlseqdt0(sdtasdt0(_128869, _128867), sdtasdt0(_128869, _128865)))], (499 ^ _114098) ^ [] : [sdtasdt0(_128867, _128869) = sdtasdt0(_128865, _128869)], (501 ^ _114098) ^ [] : [-(sdtlseqdt0(sdtasdt0(_128867, _128869), sdtasdt0(_128865, _128869)))]], -(_128869 = sz00), -(_128867 = _128865), sdtlseqdt0(_128867, _128865)], (503 ^ _114098) ^ [_129815] : [aNaturalNumber0(_129815), -(_129815 = sz00), -(_129815 = sz10), 514 ^ _114098 : [(515 ^ _114098) ^ [] : [sz10 = _129815], (517 ^ _114098) ^ [] : [-(sdtlseqdt0(sz10, _129815))]]], (519 ^ _114098) ^ [_130263, _130265] : [aNaturalNumber0(_130265), aNaturalNumber0(_130263), -(_130265 = sz00), -(sdtlseqdt0(_130263, sdtasdt0(_130263, _130265)))], (533 ^ _114098) ^ [_130658, _130660] : [aNaturalNumber0(_130660), aNaturalNumber0(_130658), iLess0(_130660, _130658), true___, -(true___)], (551 ^ _114098) ^ [_131118, _131120] : [aNaturalNumber0(_131120), aNaturalNumber0(_131118), -(iLess0(_131120, _131118)), -(_131120 = _131118), sdtlseqdt0(_131120, _131118)], (569 ^ _114098) ^ [_131596, _131598] : [aNaturalNumber0(_131598), aNaturalNumber0(_131596), 576 ^ _114098 : [(577 ^ _114098) ^ [] : [doDivides0(_131598, _131596), 581 ^ _114098 : [(582 ^ _114098) ^ [] : [-(aNaturalNumber0(580 ^ [_131596, _131598]))], (584 ^ _114098) ^ [] : [-(_131596 = sdtasdt0(_131598, 580 ^ [_131596, _131598]))]]], (586 ^ _114098) ^ [] : [-(doDivides0(_131598, _131596)), 587 ^ _114098 : [(588 ^ _114098) ^ [_132156] : [aNaturalNumber0(_132156), _131596 = sdtasdt0(_131598, _132156)]]]]], (596 ^ _114098) ^ [_132439, _132441] : [aNaturalNumber0(_132441), aNaturalNumber0(_132439), -(_132441 = sz00), doDivides0(_132441, _132439), 611 ^ _114098 : [(612 ^ _114098) ^ [_132878] : [_132878 = sdtsldt0(_132439, _132441), 615 ^ _114098 : [(616 ^ _114098) ^ [] : [-(aNaturalNumber0(_132878))], (618 ^ _114098) ^ [] : [-(_132439 = sdtasdt0(_132441, _132878))]]], (620 ^ _114098) ^ [_133137] : [-(_133137 = sdtsldt0(_132439, _132441)), aNaturalNumber0(_133137), _132439 = sdtasdt0(_132441, _133137)]]], (630 ^ _114098) ^ [_133489, _133491, _133493] : [aNaturalNumber0(_133493), aNaturalNumber0(_133491), aNaturalNumber0(_133489), -(doDivides0(_133493, _133489)), doDivides0(_133493, _133491), doDivides0(_133491, _133489)], (652 ^ _114098) ^ [_134089, _134091, _134093] : [aNaturalNumber0(_134093), aNaturalNumber0(_134091), aNaturalNumber0(_134089), -(doDivides0(_134093, sdtpldt0(_134091, _134089))), doDivides0(_134093, _134091), doDivides0(_134093, _134089)], (674 ^ _114098) ^ [_134695, _134697, _134699] : [aNaturalNumber0(_134699), aNaturalNumber0(_134697), aNaturalNumber0(_134695), -(doDivides0(_134699, _134695)), doDivides0(_134699, _134697), doDivides0(_134699, sdtpldt0(_134697, _134695))], (696 ^ _114098) ^ [_135287, _135289] : [aNaturalNumber0(_135289), aNaturalNumber0(_135287), -(sdtlseqdt0(_135289, _135287)), doDivides0(_135289, _135287), -(_135287 = sz00)], (714 ^ _114098) ^ [_135765, _135767] : [aNaturalNumber0(_135767), aNaturalNumber0(_135765), -(_135767 = sz00), doDivides0(_135767, _135765), 729 ^ _114098 : [(730 ^ _114098) ^ [_136175] : [aNaturalNumber0(_136175), -(sdtasdt0(_136175, sdtsldt0(_135765, _135767)) = sdtsldt0(sdtasdt0(_136175, _135765), _135767))]]], (736 ^ _114098) ^ [_136416] : [aNaturalNumber0(_136416), 739 ^ _114098 : [(762 ^ _114098) ^ [] : [-(isPrime0(_136416)), -(_136416 = sz00), -(_136416 = sz10), 772 ^ _114098 : [(773 ^ _114098) ^ [] : [-(aNaturalNumber0(771 ^ [_136416]))], (775 ^ _114098) ^ [] : [-(doDivides0(771 ^ [_136416], _136416))], (777 ^ _114098) ^ [] : [771 ^ [_136416] = sz10], (779 ^ _114098) ^ [] : [771 ^ [_136416] = _136416]]], (740 ^ _114098) ^ [] : [isPrime0(_136416), 743 ^ _114098 : [(744 ^ _114098) ^ [] : [_136416 = sz00], (746 ^ _114098) ^ [] : [_136416 = sz10], (748 ^ _114098) ^ [_136808] : [aNaturalNumber0(_136808), doDivides0(_136808, _136416), -(_136808 = sz10), -(_136808 = _136416)]]]]], (783 ^ _114098) ^ [_137760] : [795 ^ _114098 : [(796 ^ _114098) ^ [] : [-(aNaturalNumber0(794 ^ [_137760]))], (798 ^ _114098) ^ [] : [-(doDivides0(794 ^ [_137760], _137760))], (800 ^ _114098) ^ [] : [-(isPrime0(794 ^ [_137760]))]], aNaturalNumber0(_137760), -(_137760 = sz00), -(_137760 = sz10)], (802 ^ _114098) ^ [_138364, _138366, _138368] : [aNaturalNumber0(_138368), aNaturalNumber0(_138366), aNaturalNumber0(_138364), isPrime0(_138364), doDivides0(_138364, sdtasdt0(_138368, _138366)), -(doDivides0(_138364, _138368)), -(doDivides0(_138364, _138366))], (828 ^ _114098) ^ [] : [-(aNaturalNumber0(xn))], (830 ^ _114098) ^ [] : [-(aNaturalNumber0(xm))], (832 ^ _114098) ^ [] : [-(aNaturalNumber0(xp))], (834 ^ _114098) ^ [] : [xn = sz00], (836 ^ _114098) ^ [] : [xm = sz00], (838 ^ _114098) ^ [] : [xp = sz00], (874 ^ _114098) ^ [] : [-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))], (876 ^ _114098) ^ [] : [-(isPrime0(xp))], (840 ^ _114098) ^ [_139389, _139391, _139393] : [sdtasdt0(_139389, sdtasdt0(_139391, _139391)) = sdtasdt0(_139393, _139393), iLess0(_139393, xn), isPrime0(_139389), aNaturalNumber0(_139393), aNaturalNumber0(_139391), aNaturalNumber0(_139389), -(_139393 = sz00), -(_139391 = sz00), -(_139389 = sz00)]], input).
% 101.50/98.82  ncf('1',plain,[doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)],start(878 ^ 0)).
% 101.50/98.82  ncf('1.1',plain,[-(doDivides0(xp, sdtasdt0(xn, xn))), 588 : aNaturalNumber0(sdtasdt0(xm, xm)), 588 : sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm)), 586 : aNaturalNumber0(xp), 586 : aNaturalNumber0(sdtasdt0(xn, xn))],extension(569 ^ 1,bind([[_131596, _131598, _132156], [sdtasdt0(xn, xn), xp, sdtasdt0(xm, xm)]]))).
% 101.50/98.82  ncf('1.1.1',plain,[-(aNaturalNumber0(sdtasdt0(xm, xm))), aNaturalNumber0(xm), aNaturalNumber0(xm)],extension(148 ^ 6,bind([[_118926, _118928], [xm, xm]]))).
% 101.50/98.82  ncf('1.1.1.1',plain,[-(aNaturalNumber0(xm))],extension(830 ^ 7)).
% 101.50/98.82  ncf('1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(830 ^ 7)).
% 101.50/98.82  ncf('1.1.2',plain,[-(sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm))), sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn)],extension(4 ^ 6,bind([[_114349, _114351], [sdtasdt0(xn, xn), sdtasdt0(xp, sdtasdt0(xm, xm))]]))).
% 101.50/98.82  ncf('1.1.2.1',plain,[-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))],extension(874 ^ 7)).
% 101.50/98.82  ncf('1.1.3',plain,[-(aNaturalNumber0(xp))],extension(832 ^ 2)).
% 101.50/98.82  ncf('1.1.4',plain,[-(aNaturalNumber0(sdtasdt0(xn, xn))), aNaturalNumber0(xn), aNaturalNumber0(xn)],extension(148 ^ 2,bind([[_118926, _118928], [xn, xn]]))).
% 101.50/98.82  ncf('1.1.4.1',plain,[-(aNaturalNumber0(xn))],extension(828 ^ 3)).
% 101.50/98.82  ncf('1.1.4.2',plain,[-(aNaturalNumber0(xn))],lemmata('[1, 1].x')).
% 101.50/98.82  ncf('1.2',plain,[-(doDivides0(xp, xn)), doDivides0(xp, xn), xp = xp, xn = xn],extension(68 ^ 1,bind([[_116352, _116354, _116356, _116358], [xn, xn, xp, xp]]))).
% 101.50/98.82  ncf('1.2.1',plain,[-(doDivides0(xp, xn)), aNaturalNumber0(xn), aNaturalNumber0(xn), aNaturalNumber0(xp), isPrime0(xp), doDivides0(xp, sdtasdt0(xn, xn)), -(doDivides0(xp, xn))],extension(802 ^ 2,bind([[_138364, _138366, _138368], [xp, xn, xn]]))).
% 101.50/98.82  ncf('1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(828 ^ 3)).
% 101.50/98.82  ncf('1.2.1.2',plain,[-(aNaturalNumber0(xn))],extension(828 ^ 3)).
% 101.50/98.82  ncf('1.2.1.3',plain,[-(aNaturalNumber0(xp))],extension(832 ^ 3)).
% 101.50/98.82  ncf('1.2.1.4',plain,[-(isPrime0(xp))],extension(876 ^ 3)).
% 101.50/98.82  ncf('1.2.1.5',plain,[-(doDivides0(xp, sdtasdt0(xn, xn)))],lemmata('x')).
% 101.50/98.82  ncf('1.2.1.6',plain,[doDivides0(xp, xn)],reduction('1.2')).
% 101.50/98.82  ncf('1.2.2',plain,[-(xp = xp)],extension(2 ^ 2,bind([[_114242], [xp]]))).
% 101.50/98.82  ncf('1.2.3',plain,[-(xn = xn)],extension(2 ^ 2,bind([[_114242], [xn]]))).
% 101.50/98.82  %-----------------------------------------------------
% 101.50/98.82  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------