%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:44:46 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM489+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n021.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 17:37:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(931 ^ _119878) ^ [] : [xn = sdtpldt0(xp, xr)], (82 ^ _119878) ^ [_122590, _122592, _122594, _122596] : [-(sdtsldt0(_122596, _122592) = sdtsldt0(_122594, _122590)), _122596 = _122594, _122592 = _122590], (92 ^ _119878) ^ [_122949, _122951, _122953, _122955] : [-(sdtasdt0(_122955, _122951) = sdtasdt0(_122953, _122949)), _122955 = _122953, _122951 = _122949], (102 ^ _119878) ^ [_123308, _123310, _123312, _123314] : [-(sdtmndt0(_123314, _123310) = sdtmndt0(_123312, _123308)), _123314 = _123312, _123310 = _123308], (112 ^ _119878) ^ [_123647, _123649, _123651, _123653] : [-(sdtpldt0(_123653, _123649) = sdtpldt0(_123651, _123647)), _123653 = _123651, _123649 = _123647], (2 ^ _119878) ^ [_120022] : [-(_120022 = _120022)], (4 ^ _119878) ^ [_120129, _120131] : [_120131 = _120129, -(_120129 = _120131)], (10 ^ _119878) ^ [_120333, _120335, _120337] : [-(_120337 = _120333), _120337 = _120335, _120335 = _120333], (20 ^ _119878) ^ [_120674, _120676, _120678, _120680] : [-(iLess0(_120678, _120674)), iLess0(_120680, _120676), _120680 = _120678, _120676 = _120674], (34 ^ _119878) ^ [_121090, _121092] : [-(isPrime0(_121090)), _121092 = _121090, isPrime0(_121092)], (44 ^ _119878) ^ [_121413, _121415, _121417, _121419] : [-(doDivides0(_121417, _121413)), doDivides0(_121419, _121415), _121419 = _121417, _121415 = _121413], (58 ^ _119878) ^ [_121829, _121831] : [-(aNaturalNumber0(_121829)), _121831 = _121829, aNaturalNumber0(_121831)], (68 ^ _119878) ^ [_122132, _122134, _122136, _122138] : [-(sdtlseqdt0(_122136, _122132)), sdtlseqdt0(_122138, _122134), _122138 = _122136, _122134 = _122132], (122 ^ _119878) ^ [_123978] : [aNaturalNumber0(_123978), true___, -(true___)], (132 ^ _119878) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _119878) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _119878) ^ [] : [sz10 = sz00], (138 ^ _119878) ^ [_124407, _124409] : [-(aNaturalNumber0(sdtpldt0(_124409, _124407))), aNaturalNumber0(_124409), aNaturalNumber0(_124407)], (148 ^ _119878) ^ [_124706, _124708] : [-(aNaturalNumber0(sdtasdt0(_124708, _124706))), aNaturalNumber0(_124708), aNaturalNumber0(_124706)], (158 ^ _119878) ^ [_125005, _125007] : [-(sdtpldt0(_125007, _125005) = sdtpldt0(_125005, _125007)), aNaturalNumber0(_125007), aNaturalNumber0(_125005)], (168 ^ _119878) ^ [_125326, _125328, _125330] : [-(sdtpldt0(sdtpldt0(_125330, _125328), _125326) = sdtpldt0(_125330, sdtpldt0(_125328, _125326))), aNaturalNumber0(_125330), aNaturalNumber0(_125328), aNaturalNumber0(_125326)], (182 ^ _119878) ^ [_125732] : [aNaturalNumber0(_125732), 185 ^ _119878 : [(186 ^ _119878) ^ [] : [-(sdtpldt0(_125732, sz00) = _125732)], (188 ^ _119878) ^ [] : [-(_125732 = sdtpldt0(sz00, _125732))]]], (190 ^ _119878) ^ [_126019, _126021] : [-(sdtasdt0(_126021, _126019) = sdtasdt0(_126019, _126021)), aNaturalNumber0(_126021), aNaturalNumber0(_126019)], (200 ^ _119878) ^ [_126340, _126342, _126344] : [-(sdtasdt0(sdtasdt0(_126344, _126342), _126340) = sdtasdt0(_126344, sdtasdt0(_126342, _126340))), aNaturalNumber0(_126344), aNaturalNumber0(_126342), aNaturalNumber0(_126340)], (214 ^ _119878) ^ [_126746] : [aNaturalNumber0(_126746), 217 ^ _119878 : [(218 ^ _119878) ^ [] : [-(sdtasdt0(_126746, sz10) = _126746)], (220 ^ _119878) ^ [] : [-(_126746 = sdtasdt0(sz10, _126746))]]], (222 ^ _119878) ^ [_127019] : [aNaturalNumber0(_127019), 225 ^ _119878 : [(226 ^ _119878) ^ [] : [-(sdtasdt0(_127019, sz00) = sz00)], (228 ^ _119878) ^ [] : [-(sz00 = sdtasdt0(sz00, _127019))]]], (230 ^ _119878) ^ [_127320, _127322, _127324] : [241 ^ _119878 : [(242 ^ _119878) ^ [] : [-(sdtasdt0(_127324, sdtpldt0(_127322, _127320)) = sdtpldt0(sdtasdt0(_127324, _127322), sdtasdt0(_127324, _127320)))], (244 ^ _119878) ^ [] : [-(sdtasdt0(sdtpldt0(_127322, _127320), _127324) = sdtpldt0(sdtasdt0(_127322, _127324), sdtasdt0(_127320, _127324)))]], aNaturalNumber0(_127324), aNaturalNumber0(_127322), aNaturalNumber0(_127320)], (246 ^ _119878) ^ [_127867, _127869, _127871] : [259 ^ _119878 : [(260 ^ _119878) ^ [] : [sdtpldt0(_127871, _127869) = sdtpldt0(_127871, _127867)], (262 ^ _119878) ^ [] : [sdtpldt0(_127869, _127871) = sdtpldt0(_127867, _127871)]], -(_127869 = _127867), aNaturalNumber0(_127871), aNaturalNumber0(_127869), aNaturalNumber0(_127867)], (266 ^ _119878) ^ [_128444] : [aNaturalNumber0(_128444), -(_128444 = sz00), 273 ^ _119878 : [(274 ^ _119878) ^ [_128706, _128708] : [aNaturalNumber0(_128708), aNaturalNumber0(_128706), 283 ^ _119878 : [(284 ^ _119878) ^ [] : [sdtasdt0(_128444, _128708) = sdtasdt0(_128444, _128706)], (286 ^ _119878) ^ [] : [sdtasdt0(_128708, _128444) = sdtasdt0(_128706, _128444)]], -(_128708 = _128706)]]], (290 ^ _119878) ^ [_129217, _129219] : [aNaturalNumber0(_129219), aNaturalNumber0(_129217), sdtpldt0(_129219, _129217) = sz00, 301 ^ _119878 : [(302 ^ _119878) ^ [] : [-(_129219 = sz00)], (304 ^ _119878) ^ [] : [-(_129217 = sz00)]]], (306 ^ _119878) ^ [_129684, _129686] : [aNaturalNumber0(_129686), aNaturalNumber0(_129684), sdtasdt0(_129686, _129684) = sz00, -(_129686 = sz00), -(_129684 = sz00)], (324 ^ _119878) ^ [_130166, _130168] : [aNaturalNumber0(_130168), aNaturalNumber0(_130166), 331 ^ _119878 : [(332 ^ _119878) ^ [] : [sdtlseqdt0(_130168, _130166), 336 ^ _119878 : [(337 ^ _119878) ^ [] : [-(aNaturalNumber0(335 ^ [_130166, _130168]))], (339 ^ _119878) ^ [] : [-(sdtpldt0(_130168, 335 ^ [_130166, _130168]) = _130166)]]], (341 ^ _119878) ^ [] : [-(sdtlseqdt0(_130168, _130166)), 342 ^ _119878 : [(343 ^ _119878) ^ [_130726] : [aNaturalNumber0(_130726), sdtpldt0(_130168, _130726) = _130166]]]]], (351 ^ _119878) ^ [_131009, _131011] : [aNaturalNumber0(_131011), aNaturalNumber0(_131009), sdtlseqdt0(_131011, _131009), 362 ^ _119878 : [(363 ^ _119878) ^ [_131356] : [_131356 = sdtmndt0(_131009, _131011), 366 ^ _119878 : [(367 ^ _119878) ^ [] : [-(aNaturalNumber0(_131356))], (369 ^ _119878) ^ [] : [-(sdtpldt0(_131011, _131356) = _131009)]]], (371 ^ _119878) ^ [_131615] : [-(_131615 = sdtmndt0(_131009, _131011)), aNaturalNumber0(_131615), sdtpldt0(_131011, _131615) = _131009]]], (381 ^ _119878) ^ [_131937] : [aNaturalNumber0(_131937), -(sdtlseqdt0(_131937, _131937))], (387 ^ _119878) ^ [_132139, _132141] : [aNaturalNumber0(_132141), aNaturalNumber0(_132139), -(_132141 = _132139), sdtlseqdt0(_132141, _132139), sdtlseqdt0(_132139, _132141)], (405 ^ _119878) ^ [_132628, _132630, _132632] : [aNaturalNumber0(_132632), aNaturalNumber0(_132630), aNaturalNumber0(_132628), -(sdtlseqdt0(_132632, _132628)), sdtlseqdt0(_132632, _132630), sdtlseqdt0(_132630, _132628)], (427 ^ _119878) ^ [_133214, _133216] : [aNaturalNumber0(_133216), aNaturalNumber0(_133214), -(sdtlseqdt0(_133216, _133214)), 438 ^ _119878 : [(439 ^ _119878) ^ [] : [_133214 = _133216], (441 ^ _119878) ^ [] : [-(sdtlseqdt0(_133214, _133216))]]], (443 ^ _119878) ^ [_133677, _133679] : [aNaturalNumber0(_133679), aNaturalNumber0(_133677), -(_133679 = _133677), sdtlseqdt0(_133679, _133677), 458 ^ _119878 : [(459 ^ _119878) ^ [_134121] : [aNaturalNumber0(_134121), 462 ^ _119878 : [(463 ^ _119878) ^ [] : [sdtpldt0(_134121, _133679) = sdtpldt0(_134121, _133677)], (465 ^ _119878) ^ [] : [-(sdtlseqdt0(sdtpldt0(_134121, _133679), sdtpldt0(_134121, _133677)))], (467 ^ _119878) ^ [] : [sdtpldt0(_133679, _134121) = sdtpldt0(_133677, _134121)], (469 ^ _119878) ^ [] : [-(sdtlseqdt0(sdtpldt0(_133679, _134121), sdtpldt0(_133677, _134121)))]]]]], (471 ^ _119878) ^ [_134645, _134647, _134649] : [aNaturalNumber0(_134649), aNaturalNumber0(_134647), aNaturalNumber0(_134645), 494 ^ _119878 : [(495 ^ _119878) ^ [] : [sdtasdt0(_134649, _134647) = sdtasdt0(_134649, _134645)], (497 ^ _119878) ^ [] : [-(sdtlseqdt0(sdtasdt0(_134649, _134647), sdtasdt0(_134649, _134645)))], (499 ^ _119878) ^ [] : [sdtasdt0(_134647, _134649) = sdtasdt0(_134645, _134649)], (501 ^ _119878) ^ [] : [-(sdtlseqdt0(sdtasdt0(_134647, _134649), sdtasdt0(_134645, _134649)))]], -(_134649 = sz00), -(_134647 = _134645), sdtlseqdt0(_134647, _134645)], (503 ^ _119878) ^ [_135595] : [aNaturalNumber0(_135595), -(_135595 = sz00), -(_135595 = sz10), 514 ^ _119878 : [(515 ^ _119878) ^ [] : [sz10 = _135595], (517 ^ _119878) ^ [] : [-(sdtlseqdt0(sz10, _135595))]]], (519 ^ _119878) ^ [_136043, _136045] : [aNaturalNumber0(_136045), aNaturalNumber0(_136043), -(_136045 = sz00), -(sdtlseqdt0(_136043, sdtasdt0(_136043, _136045)))], (533 ^ _119878) ^ [_136438, _136440] : [aNaturalNumber0(_136440), aNaturalNumber0(_136438), iLess0(_136440, _136438), true___, -(true___)], (551 ^ _119878) ^ [_136898, _136900] : [aNaturalNumber0(_136900), aNaturalNumber0(_136898), -(iLess0(_136900, _136898)), -(_136900 = _136898), sdtlseqdt0(_136900, _136898)], (569 ^ _119878) ^ [_137376, _137378] : [aNaturalNumber0(_137378), aNaturalNumber0(_137376), 576 ^ _119878 : [(577 ^ _119878) ^ [] : [doDivides0(_137378, _137376), 581 ^ _119878 : [(582 ^ _119878) ^ [] : [-(aNaturalNumber0(580 ^ [_137376, _137378]))], (584 ^ _119878) ^ [] : [-(_137376 = sdtasdt0(_137378, 580 ^ [_137376, _137378]))]]], (586 ^ _119878) ^ [] : [-(doDivides0(_137378, _137376)), 587 ^ _119878 : [(588 ^ _119878) ^ [_137936] : [aNaturalNumber0(_137936), _137376 = sdtasdt0(_137378, _137936)]]]]], (596 ^ _119878) ^ [_138219, _138221] : [aNaturalNumber0(_138221), aNaturalNumber0(_138219), -(_138221 = sz00), doDivides0(_138221, _138219), 611 ^ _119878 : [(612 ^ _119878) ^ [_138658] : [_138658 = sdtsldt0(_138219, _138221), 615 ^ _119878 : [(616 ^ _119878) ^ [] : [-(aNaturalNumber0(_138658))], (618 ^ _119878) ^ [] : [-(_138219 = sdtasdt0(_138221, _138658))]]], (620 ^ _119878) ^ [_138917] : [-(_138917 = sdtsldt0(_138219, _138221)), aNaturalNumber0(_138917), _138219 = sdtasdt0(_138221, _138917)]]], (630 ^ _119878) ^ [_139269, _139271, _139273] : [aNaturalNumber0(_139273), aNaturalNumber0(_139271), aNaturalNumber0(_139269), -(doDivides0(_139273, _139269)), doDivides0(_139273, _139271), doDivides0(_139271, _139269)], (652 ^ _119878) ^ [_139869, _139871, _139873] : [aNaturalNumber0(_139873), aNaturalNumber0(_139871), aNaturalNumber0(_139869), -(doDivides0(_139873, sdtpldt0(_139871, _139869))), doDivides0(_139873, _139871), doDivides0(_139873, _139869)], (674 ^ _119878) ^ [_140475, _140477, _140479] : [aNaturalNumber0(_140479), aNaturalNumber0(_140477), aNaturalNumber0(_140475), -(doDivides0(_140479, _140475)), doDivides0(_140479, _140477), doDivides0(_140479, sdtpldt0(_140477, _140475))], (696 ^ _119878) ^ [_141067, _141069] : [aNaturalNumber0(_141069), aNaturalNumber0(_141067), -(sdtlseqdt0(_141069, _141067)), doDivides0(_141069, _141067), -(_141067 = sz00)], (714 ^ _119878) ^ [_141545, _141547] : [aNaturalNumber0(_141547), aNaturalNumber0(_141545), -(_141547 = sz00), doDivides0(_141547, _141545), 729 ^ _119878 : [(730 ^ _119878) ^ [_141955] : [aNaturalNumber0(_141955), -(sdtasdt0(_141955, sdtsldt0(_141545, _141547)) = sdtsldt0(sdtasdt0(_141955, _141545), _141547))]]], (736 ^ _119878) ^ [_142196] : [aNaturalNumber0(_142196), 739 ^ _119878 : [(762 ^ _119878) ^ [] : [-(isPrime0(_142196)), -(_142196 = sz00), -(_142196 = sz10), 772 ^ _119878 : [(773 ^ _119878) ^ [] : [-(aNaturalNumber0(771 ^ [_142196]))], (775 ^ _119878) ^ [] : [-(doDivides0(771 ^ [_142196], _142196))], (777 ^ _119878) ^ [] : [771 ^ [_142196] = sz10], (779 ^ _119878) ^ [] : [771 ^ [_142196] = _142196]]], (740 ^ _119878) ^ [] : [isPrime0(_142196), 743 ^ _119878 : [(744 ^ _119878) ^ [] : [_142196 = sz00], (746 ^ _119878) ^ [] : [_142196 = sz10], (748 ^ _119878) ^ [_142588] : [aNaturalNumber0(_142588), doDivides0(_142588, _142196), -(_142588 = sz10), -(_142588 = _142196)]]]]], (783 ^ _119878) ^ [_143540] : [795 ^ _119878 : [(796 ^ _119878) ^ [] : [-(aNaturalNumber0(794 ^ [_143540]))], (798 ^ _119878) ^ [] : [-(doDivides0(794 ^ [_143540], _143540))], (800 ^ _119878) ^ [] : [-(isPrime0(794 ^ [_143540]))]], aNaturalNumber0(_143540), -(_143540 = sz00), -(_143540 = sz10)], (802 ^ _119878) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _119878) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _119878) ^ [] : [-(aNaturalNumber0(xp))], (910 ^ _119878) ^ [] : [-(aNaturalNumber0(908 ^ []))], (912 ^ _119878) ^ [] : [-(sdtpldt0(xp, 908 ^ []) = xn)], (914 ^ _119878) ^ [] : [-(sdtlseqdt0(xp, xn))], (916 ^ _119878) ^ [] : [-(aNaturalNumber0(xr))], (918 ^ _119878) ^ [] : [-(sdtpldt0(xp, xr) = xn)], (920 ^ _119878) ^ [] : [-(xr = sdtmndt0(xn, xp))], (922 ^ _119878) ^ [] : [xr = xn], (925 ^ _119878) ^ [] : [-(aNaturalNumber0(923 ^ []))], (927 ^ _119878) ^ [] : [-(sdtpldt0(xr, 923 ^ []) = xn)], (929 ^ _119878) ^ [] : [-(sdtlseqdt0(xr, xn))], (876 ^ _119878) ^ [] : [xp = sz00], (878 ^ _119878) ^ [] : [xp = sz10], (900 ^ _119878) ^ [] : [-(isPrime0(xp))], (903 ^ _119878) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _119878) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _119878) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _119878) ^ [_146818] : [-(_146818 = sz10), -(_146818 = xp), aNaturalNumber0(_146818), 885 ^ _119878 : [(892 ^ _119878) ^ [] : [doDivides0(_146818, xp)], (886 ^ _119878) ^ [_147021] : [aNaturalNumber0(_147021), xp = sdtasdt0(_146818, _147021)]]], (808 ^ _119878) ^ [_144307, _144309, _144311] : [aNaturalNumber0(_144311), aNaturalNumber0(_144309), aNaturalNumber0(_144307), iLess0(sdtpldt0(sdtpldt0(_144311, _144309), _144307), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _119878 : [(863 ^ _119878) ^ [] : [-(aNaturalNumber0(861 ^ [_144307, _144309, _144311]))], (865 ^ _119878) ^ [] : [-(_144311 = sdtasdt0(_144307, 861 ^ [_144307, _144309, _144311]))], (867 ^ _119878) ^ [] : [-(doDivides0(_144307, _144311))]], 869 ^ _119878 : [(870 ^ _119878) ^ [] : [-(aNaturalNumber0(868 ^ [_144307, _144309, _144311]))], (872 ^ _119878) ^ [] : [-(_144309 = sdtasdt0(_144307, 868 ^ [_144307, _144309, _144311]))], (874 ^ _119878) ^ [] : [-(doDivides0(_144307, _144309))]], 847 ^ _119878 : [(854 ^ _119878) ^ [] : [doDivides0(_144307, sdtasdt0(_144311, _144309))], (848 ^ _119878) ^ [_145728] : [aNaturalNumber0(_145728), sdtasdt0(_144311, _144309) = sdtasdt0(_144307, _145728)]], 823 ^ _119878 : [(846 ^ _119878) ^ [] : [isPrime0(_144307)], (824 ^ _119878) ^ [] : [-(_144307 = sz00), -(_144307 = sz10), 832 ^ _119878 : [(833 ^ _119878) ^ [] : [-(aNaturalNumber0(831 ^ [_144307, _144309, _144311]))], (836 ^ _119878) ^ [] : [-(aNaturalNumber0(834 ^ [_144307, _144309, _144311]))], (838 ^ _119878) ^ [] : [-(_144307 = sdtasdt0(831 ^ [_144307, _144309, _144311], 834 ^ [_144307, _144309, _144311]))], (840 ^ _119878) ^ [] : [-(doDivides0(831 ^ [_144307, _144309, _144311], _144307))], (842 ^ _119878) ^ [] : [831 ^ [_144307, _144309, _144311] = sz10], (844 ^ _119878) ^ [] : [831 ^ [_144307, _144309, _144311] = _144307]]]]]], input).
% 0.33/1.38  ncf('1',plain,[xn = sdtpldt0(xp, xr)],start(931 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(xn = sdtpldt0(xp, xr)), sdtpldt0(xp, xr) = xn],extension(4 ^ 1,bind([[_120129, _120131], [xn, sdtpldt0(xp, xr)]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(sdtpldt0(xp, xr) = xn)],extension(918 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------