%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM491+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 1.94s 2.40s
% Output   : Proof 1.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM491+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 17:39:43 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 1.94/2.40  
% 1.94/2.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.94/2.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.94/2.40  %-----------------------------------------------------
% 1.94/2.40  ncf(matrix, plain, [(945 ^ _126168) ^ [] : [doDivides0(xp, sdtasdt0(xp, xm))], (939 ^ _126168) ^ [_155150] : [aNaturalNumber0(_155150), sdtasdt0(xp, xm) = sdtasdt0(xp, _155150)], (82 ^ _126168) ^ [_128880, _128882, _128884, _128886] : [-(sdtsldt0(_128886, _128882) = sdtsldt0(_128884, _128880)), _128886 = _128884, _128882 = _128880], (92 ^ _126168) ^ [_129239, _129241, _129243, _129245] : [-(sdtpldt0(_129245, _129241) = sdtpldt0(_129243, _129239)), _129245 = _129243, _129241 = _129239], (102 ^ _126168) ^ [_129598, _129600, _129602, _129604] : [-(sdtmndt0(_129604, _129600) = sdtmndt0(_129602, _129598)), _129604 = _129602, _129600 = _129598], (112 ^ _126168) ^ [_129937, _129939, _129941, _129943] : [-(sdtasdt0(_129943, _129939) = sdtasdt0(_129941, _129937)), _129943 = _129941, _129939 = _129937], (2 ^ _126168) ^ [_126312] : [-(_126312 = _126312)], (4 ^ _126168) ^ [_126419, _126421] : [_126421 = _126419, -(_126419 = _126421)], (10 ^ _126168) ^ [_126623, _126625, _126627] : [-(_126627 = _126623), _126627 = _126625, _126625 = _126623], (20 ^ _126168) ^ [_126964, _126966, _126968, _126970] : [-(iLess0(_126968, _126964)), iLess0(_126970, _126966), _126970 = _126968, _126966 = _126964], (34 ^ _126168) ^ [_127380, _127382] : [-(isPrime0(_127380)), _127382 = _127380, isPrime0(_127382)], (44 ^ _126168) ^ [_127703, _127705, _127707, _127709] : [-(sdtlseqdt0(_127707, _127703)), sdtlseqdt0(_127709, _127705), _127709 = _127707, _127705 = _127703], (58 ^ _126168) ^ [_128119, _128121] : [-(aNaturalNumber0(_128119)), _128121 = _128119, aNaturalNumber0(_128121)], (68 ^ _126168) ^ [_128422, _128424, _128426, _128428] : [-(doDivides0(_128426, _128422)), doDivides0(_128428, _128424), _128428 = _128426, _128424 = _128422], (122 ^ _126168) ^ [_130268] : [aNaturalNumber0(_130268), true___, -(true___)], (132 ^ _126168) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _126168) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _126168) ^ [] : [sz10 = sz00], (138 ^ _126168) ^ [_130697, _130699] : [-(aNaturalNumber0(sdtpldt0(_130699, _130697))), aNaturalNumber0(_130699), aNaturalNumber0(_130697)], (148 ^ _126168) ^ [_130996, _130998] : [-(aNaturalNumber0(sdtasdt0(_130998, _130996))), aNaturalNumber0(_130998), aNaturalNumber0(_130996)], (158 ^ _126168) ^ [_131295, _131297] : [-(sdtpldt0(_131297, _131295) = sdtpldt0(_131295, _131297)), aNaturalNumber0(_131297), aNaturalNumber0(_131295)], (168 ^ _126168) ^ [_131616, _131618, _131620] : [-(sdtpldt0(sdtpldt0(_131620, _131618), _131616) = sdtpldt0(_131620, sdtpldt0(_131618, _131616))), aNaturalNumber0(_131620), aNaturalNumber0(_131618), aNaturalNumber0(_131616)], (182 ^ _126168) ^ [_132022] : [aNaturalNumber0(_132022), 185 ^ _126168 : [(186 ^ _126168) ^ [] : [-(sdtpldt0(_132022, sz00) = _132022)], (188 ^ _126168) ^ [] : [-(_132022 = sdtpldt0(sz00, _132022))]]], (190 ^ _126168) ^ [_132309, _132311] : [-(sdtasdt0(_132311, _132309) = sdtasdt0(_132309, _132311)), aNaturalNumber0(_132311), aNaturalNumber0(_132309)], (200 ^ _126168) ^ [_132630, _132632, _132634] : [-(sdtasdt0(sdtasdt0(_132634, _132632), _132630) = sdtasdt0(_132634, sdtasdt0(_132632, _132630))), aNaturalNumber0(_132634), aNaturalNumber0(_132632), aNaturalNumber0(_132630)], (214 ^ _126168) ^ [_133036] : [aNaturalNumber0(_133036), 217 ^ _126168 : [(218 ^ _126168) ^ [] : [-(sdtasdt0(_133036, sz10) = _133036)], (220 ^ _126168) ^ [] : [-(_133036 = sdtasdt0(sz10, _133036))]]], (222 ^ _126168) ^ [_133309] : [aNaturalNumber0(_133309), 225 ^ _126168 : [(226 ^ _126168) ^ [] : [-(sdtasdt0(_133309, sz00) = sz00)], (228 ^ _126168) ^ [] : [-(sz00 = sdtasdt0(sz00, _133309))]]], (230 ^ _126168) ^ [_133610, _133612, _133614] : [241 ^ _126168 : [(242 ^ _126168) ^ [] : [-(sdtasdt0(_133614, sdtpldt0(_133612, _133610)) = sdtpldt0(sdtasdt0(_133614, _133612), sdtasdt0(_133614, _133610)))], (244 ^ _126168) ^ [] : [-(sdtasdt0(sdtpldt0(_133612, _133610), _133614) = sdtpldt0(sdtasdt0(_133612, _133614), sdtasdt0(_133610, _133614)))]], aNaturalNumber0(_133614), aNaturalNumber0(_133612), aNaturalNumber0(_133610)], (246 ^ _126168) ^ [_134157, _134159, _134161] : [259 ^ _126168 : [(260 ^ _126168) ^ [] : [sdtpldt0(_134161, _134159) = sdtpldt0(_134161, _134157)], (262 ^ _126168) ^ [] : [sdtpldt0(_134159, _134161) = sdtpldt0(_134157, _134161)]], -(_134159 = _134157), aNaturalNumber0(_134161), aNaturalNumber0(_134159), aNaturalNumber0(_134157)], (266 ^ _126168) ^ [_134734] : [aNaturalNumber0(_134734), -(_134734 = sz00), 273 ^ _126168 : [(274 ^ _126168) ^ [_134996, _134998] : [aNaturalNumber0(_134998), aNaturalNumber0(_134996), 283 ^ _126168 : [(284 ^ _126168) ^ [] : [sdtasdt0(_134734, _134998) = sdtasdt0(_134734, _134996)], (286 ^ _126168) ^ [] : [sdtasdt0(_134998, _134734) = sdtasdt0(_134996, _134734)]], -(_134998 = _134996)]]], (290 ^ _126168) ^ [_135507, _135509] : [aNaturalNumber0(_135509), aNaturalNumber0(_135507), sdtpldt0(_135509, _135507) = sz00, 301 ^ _126168 : [(302 ^ _126168) ^ [] : [-(_135509 = sz00)], (304 ^ _126168) ^ [] : [-(_135507 = sz00)]]], (306 ^ _126168) ^ [_135974, _135976] : [aNaturalNumber0(_135976), aNaturalNumber0(_135974), sdtasdt0(_135976, _135974) = sz00, -(_135976 = sz00), -(_135974 = sz00)], (324 ^ _126168) ^ [_136456, _136458] : [aNaturalNumber0(_136458), aNaturalNumber0(_136456), 331 ^ _126168 : [(332 ^ _126168) ^ [] : [sdtlseqdt0(_136458, _136456), 336 ^ _126168 : [(337 ^ _126168) ^ [] : [-(aNaturalNumber0(335 ^ [_136456, _136458]))], (339 ^ _126168) ^ [] : [-(sdtpldt0(_136458, 335 ^ [_136456, _136458]) = _136456)]]], (341 ^ _126168) ^ [] : [-(sdtlseqdt0(_136458, _136456)), 342 ^ _126168 : [(343 ^ _126168) ^ [_137016] : [aNaturalNumber0(_137016), sdtpldt0(_136458, _137016) = _136456]]]]], (351 ^ _126168) ^ [_137299, _137301] : [aNaturalNumber0(_137301), aNaturalNumber0(_137299), sdtlseqdt0(_137301, _137299), 362 ^ _126168 : [(363 ^ _126168) ^ [_137646] : [_137646 = sdtmndt0(_137299, _137301), 366 ^ _126168 : [(367 ^ _126168) ^ [] : [-(aNaturalNumber0(_137646))], (369 ^ _126168) ^ [] : [-(sdtpldt0(_137301, _137646) = _137299)]]], (371 ^ _126168) ^ [_137905] : [-(_137905 = sdtmndt0(_137299, _137301)), aNaturalNumber0(_137905), sdtpldt0(_137301, _137905) = _137299]]], (381 ^ _126168) ^ [_138227] : [aNaturalNumber0(_138227), -(sdtlseqdt0(_138227, _138227))], (387 ^ _126168) ^ [_138429, _138431] : [aNaturalNumber0(_138431), aNaturalNumber0(_138429), -(_138431 = _138429), sdtlseqdt0(_138431, _138429), sdtlseqdt0(_138429, _138431)], (405 ^ _126168) ^ [_138918, _138920, _138922] : [aNaturalNumber0(_138922), aNaturalNumber0(_138920), aNaturalNumber0(_138918), -(sdtlseqdt0(_138922, _138918)), sdtlseqdt0(_138922, _138920), sdtlseqdt0(_138920, _138918)], (427 ^ _126168) ^ [_139504, _139506] : [aNaturalNumber0(_139506), aNaturalNumber0(_139504), -(sdtlseqdt0(_139506, _139504)), 438 ^ _126168 : [(439 ^ _126168) ^ [] : [_139504 = _139506], (441 ^ _126168) ^ [] : [-(sdtlseqdt0(_139504, _139506))]]], (443 ^ _126168) ^ [_139967, _139969] : [aNaturalNumber0(_139969), aNaturalNumber0(_139967), -(_139969 = _139967), sdtlseqdt0(_139969, _139967), 458 ^ _126168 : [(459 ^ _126168) ^ [_140411] : [aNaturalNumber0(_140411), 462 ^ _126168 : [(463 ^ _126168) ^ [] : [sdtpldt0(_140411, _139969) = sdtpldt0(_140411, _139967)], (465 ^ _126168) ^ [] : [-(sdtlseqdt0(sdtpldt0(_140411, _139969), sdtpldt0(_140411, _139967)))], (467 ^ _126168) ^ [] : [sdtpldt0(_139969, _140411) = sdtpldt0(_139967, _140411)], (469 ^ _126168) ^ [] : [-(sdtlseqdt0(sdtpldt0(_139969, _140411), sdtpldt0(_139967, _140411)))]]]]], (471 ^ _126168) ^ [_140935, _140937, _140939] : [aNaturalNumber0(_140939), aNaturalNumber0(_140937), aNaturalNumber0(_140935), 494 ^ _126168 : [(495 ^ _126168) ^ [] : [sdtasdt0(_140939, _140937) = sdtasdt0(_140939, _140935)], (497 ^ _126168) ^ [] : [-(sdtlseqdt0(sdtasdt0(_140939, _140937), sdtasdt0(_140939, _140935)))], (499 ^ _126168) ^ [] : [sdtasdt0(_140937, _140939) = sdtasdt0(_140935, _140939)], (501 ^ _126168) ^ [] : [-(sdtlseqdt0(sdtasdt0(_140937, _140939), sdtasdt0(_140935, _140939)))]], -(_140939 = sz00), -(_140937 = _140935), sdtlseqdt0(_140937, _140935)], (503 ^ _126168) ^ [_141885] : [aNaturalNumber0(_141885), -(_141885 = sz00), -(_141885 = sz10), 514 ^ _126168 : [(515 ^ _126168) ^ [] : [sz10 = _141885], (517 ^ _126168) ^ [] : [-(sdtlseqdt0(sz10, _141885))]]], (519 ^ _126168) ^ [_142333, _142335] : [aNaturalNumber0(_142335), aNaturalNumber0(_142333), -(_142335 = sz00), -(sdtlseqdt0(_142333, sdtasdt0(_142333, _142335)))], (533 ^ _126168) ^ [_142728, _142730] : [aNaturalNumber0(_142730), aNaturalNumber0(_142728), iLess0(_142730, _142728), true___, -(true___)], (551 ^ _126168) ^ [_143188, _143190] : [aNaturalNumber0(_143190), aNaturalNumber0(_143188), -(iLess0(_143190, _143188)), -(_143190 = _143188), sdtlseqdt0(_143190, _143188)], (569 ^ _126168) ^ [_143666, _143668] : [aNaturalNumber0(_143668), aNaturalNumber0(_143666), 576 ^ _126168 : [(577 ^ _126168) ^ [] : [doDivides0(_143668, _143666), 581 ^ _126168 : [(582 ^ _126168) ^ [] : [-(aNaturalNumber0(580 ^ [_143666, _143668]))], (584 ^ _126168) ^ [] : [-(_143666 = sdtasdt0(_143668, 580 ^ [_143666, _143668]))]]], (586 ^ _126168) ^ [] : [-(doDivides0(_143668, _143666)), 587 ^ _126168 : [(588 ^ _126168) ^ [_144226] : [aNaturalNumber0(_144226), _143666 = sdtasdt0(_143668, _144226)]]]]], (596 ^ _126168) ^ [_144509, _144511] : [aNaturalNumber0(_144511), aNaturalNumber0(_144509), -(_144511 = sz00), doDivides0(_144511, _144509), 611 ^ _126168 : [(612 ^ _126168) ^ [_144948] : [_144948 = sdtsldt0(_144509, _144511), 615 ^ _126168 : [(616 ^ _126168) ^ [] : [-(aNaturalNumber0(_144948))], (618 ^ _126168) ^ [] : [-(_144509 = sdtasdt0(_144511, _144948))]]], (620 ^ _126168) ^ [_145207] : [-(_145207 = sdtsldt0(_144509, _144511)), aNaturalNumber0(_145207), _144509 = sdtasdt0(_144511, _145207)]]], (630 ^ _126168) ^ [_145559, _145561, _145563] : [aNaturalNumber0(_145563), aNaturalNumber0(_145561), aNaturalNumber0(_145559), -(doDivides0(_145563, _145559)), doDivides0(_145563, _145561), doDivides0(_145561, _145559)], (652 ^ _126168) ^ [_146159, _146161, _146163] : [aNaturalNumber0(_146163), aNaturalNumber0(_146161), aNaturalNumber0(_146159), -(doDivides0(_146163, sdtpldt0(_146161, _146159))), doDivides0(_146163, _146161), doDivides0(_146163, _146159)], (674 ^ _126168) ^ [_146765, _146767, _146769] : [aNaturalNumber0(_146769), aNaturalNumber0(_146767), aNaturalNumber0(_146765), -(doDivides0(_146769, _146765)), doDivides0(_146769, _146767), doDivides0(_146769, sdtpldt0(_146767, _146765))], (696 ^ _126168) ^ [_147357, _147359] : [aNaturalNumber0(_147359), aNaturalNumber0(_147357), -(sdtlseqdt0(_147359, _147357)), doDivides0(_147359, _147357), -(_147357 = sz00)], (714 ^ _126168) ^ [_147835, _147837] : [aNaturalNumber0(_147837), aNaturalNumber0(_147835), -(_147837 = sz00), doDivides0(_147837, _147835), 729 ^ _126168 : [(730 ^ _126168) ^ [_148245] : [aNaturalNumber0(_148245), -(sdtasdt0(_148245, sdtsldt0(_147835, _147837)) = sdtsldt0(sdtasdt0(_148245, _147835), _147837))]]], (736 ^ _126168) ^ [_148486] : [aNaturalNumber0(_148486), 739 ^ _126168 : [(762 ^ _126168) ^ [] : [-(isPrime0(_148486)), -(_148486 = sz00), -(_148486 = sz10), 772 ^ _126168 : [(773 ^ _126168) ^ [] : [-(aNaturalNumber0(771 ^ [_148486]))], (775 ^ _126168) ^ [] : [-(doDivides0(771 ^ [_148486], _148486))], (777 ^ _126168) ^ [] : [771 ^ [_148486] = sz10], (779 ^ _126168) ^ [] : [771 ^ [_148486] = _148486]]], (740 ^ _126168) ^ [] : [isPrime0(_148486), 743 ^ _126168 : [(744 ^ _126168) ^ [] : [_148486 = sz00], (746 ^ _126168) ^ [] : [_148486 = sz10], (748 ^ _126168) ^ [_148878] : [aNaturalNumber0(_148878), doDivides0(_148878, _148486), -(_148878 = sz10), -(_148878 = _148486)]]]]], (783 ^ _126168) ^ [_149830] : [795 ^ _126168 : [(796 ^ _126168) ^ [] : [-(aNaturalNumber0(794 ^ [_149830]))], (798 ^ _126168) ^ [] : [-(doDivides0(794 ^ [_149830], _149830))], (800 ^ _126168) ^ [] : [-(isPrime0(794 ^ [_149830]))]], aNaturalNumber0(_149830), -(_149830 = sz00), -(_149830 = sz10)], (802 ^ _126168) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _126168) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _126168) ^ [] : [-(aNaturalNumber0(xp))], (910 ^ _126168) ^ [] : [-(aNaturalNumber0(908 ^ []))], (912 ^ _126168) ^ [] : [-(sdtpldt0(xp, 908 ^ []) = xn)], (914 ^ _126168) ^ [] : [-(sdtlseqdt0(xp, xn))], (916 ^ _126168) ^ [] : [-(aNaturalNumber0(xr))], (918 ^ _126168) ^ [] : [-(sdtpldt0(xp, xr) = xn)], (920 ^ _126168) ^ [] : [-(xr = sdtmndt0(xn, xp))], (922 ^ _126168) ^ [] : [xr = xn], (925 ^ _126168) ^ [] : [-(aNaturalNumber0(923 ^ []))], (927 ^ _126168) ^ [] : [-(sdtpldt0(xr, 923 ^ []) = xn)], (929 ^ _126168) ^ [] : [-(sdtlseqdt0(xr, xn))], (931 ^ _126168) ^ [] : [-(xn = sdtpldt0(xp, xr))], (933 ^ _126168) ^ [] : [-(sdtasdt0(xn, xm) = sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)))], (935 ^ _126168) ^ [] : [-(sdtpldt0(sdtasdt0(xp, xm), sdtasdt0(xr, xm)) = sdtasdt0(xn, xm))], (937 ^ _126168) ^ [] : [-(sdtasdt0(xr, xm) = sdtmndt0(sdtasdt0(xn, xm), sdtasdt0(xp, xm)))], (876 ^ _126168) ^ [] : [xp = sz00], (878 ^ _126168) ^ [] : [xp = sz10], (900 ^ _126168) ^ [] : [-(isPrime0(xp))], (903 ^ _126168) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _126168) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _126168) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _126168) ^ [_153108] : [-(_153108 = sz10), -(_153108 = xp), aNaturalNumber0(_153108), 885 ^ _126168 : [(892 ^ _126168) ^ [] : [doDivides0(_153108, xp)], (886 ^ _126168) ^ [_153311] : [aNaturalNumber0(_153311), xp = sdtasdt0(_153108, _153311)]]], (808 ^ _126168) ^ [_150597, _150599, _150601] : [aNaturalNumber0(_150601), aNaturalNumber0(_150599), aNaturalNumber0(_150597), iLess0(sdtpldt0(sdtpldt0(_150601, _150599), _150597), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _126168 : [(863 ^ _126168) ^ [] : [-(aNaturalNumber0(861 ^ [_150597, _150599, _150601]))], (865 ^ _126168) ^ [] : [-(_150601 = sdtasdt0(_150597, 861 ^ [_150597, _150599, _150601]))], (867 ^ _126168) ^ [] : [-(doDivides0(_150597, _150601))]], 869 ^ _126168 : [(870 ^ _126168) ^ [] : [-(aNaturalNumber0(868 ^ [_150597, _150599, _150601]))], (872 ^ _126168) ^ [] : [-(_150599 = sdtasdt0(_150597, 868 ^ [_150597, _150599, _150601]))], (874 ^ _126168) ^ [] : [-(doDivides0(_150597, _150599))]], 847 ^ _126168 : [(854 ^ _126168) ^ [] : [doDivides0(_150597, sdtasdt0(_150601, _150599))], (848 ^ _126168) ^ [_152018] : [aNaturalNumber0(_152018), sdtasdt0(_150601, _150599) = sdtasdt0(_150597, _152018)]], 823 ^ _126168 : [(846 ^ _126168) ^ [] : [isPrime0(_150597)], (824 ^ _126168) ^ [] : [-(_150597 = sz00), -(_150597 = sz10), 832 ^ _126168 : [(833 ^ _126168) ^ [] : [-(aNaturalNumber0(831 ^ [_150597, _150599, _150601]))], (836 ^ _126168) ^ [] : [-(aNaturalNumber0(834 ^ [_150597, _150599, _150601]))], (838 ^ _126168) ^ [] : [-(_150597 = sdtasdt0(831 ^ [_150597, _150599, _150601], 834 ^ [_150597, _150599, _150601]))], (840 ^ _126168) ^ [] : [-(doDivides0(831 ^ [_150597, _150599, _150601], _150597))], (842 ^ _126168) ^ [] : [831 ^ [_150597, _150599, _150601] = sz10], (844 ^ _126168) ^ [] : [831 ^ [_150597, _150599, _150601] = _150597]]]]]], input).
% 1.94/2.40  ncf('1',plain,[xp = sz00],start(876 ^ 0)).
% 1.94/2.40  ncf('1.1',plain,[-(xp = sz00), 796 : -(aNaturalNumber0(794 ^ [xp])), 796 : aNaturalNumber0(xp), 796 : -(xp = sz10)],extension(783 ^ 1,bind([[_149830], [xp]]))).
% 1.94/2.40  ncf('1.1.1',plain,[aNaturalNumber0(794 ^ [xp]), 260 : sdtpldt0(794 ^ [xp], sdtasdt0(xp, xm)) = sdtpldt0(794 ^ [xp], sdtasdt0(xp, xm)), 260 : -(sdtasdt0(xp, xm) = sdtasdt0(xp, xm)), 260 : aNaturalNumber0(sdtasdt0(xp, xm)), 260 : aNaturalNumber0(sdtasdt0(xp, xm))],extension(246 ^ 4,bind([[_134157, _134159, _134161], [sdtasdt0(xp, xm), sdtasdt0(xp, xm), 794 ^ [xp]]]))).
% 1.94/2.40  ncf('1.1.1.1',plain,[-(sdtpldt0(794 ^ [xp], sdtasdt0(xp, xm)) = sdtpldt0(794 ^ [xp], sdtasdt0(xp, xm)))],extension(2 ^ 7,bind([[_126312], [sdtpldt0(794 ^ [xp], sdtasdt0(xp, xm))]]))).
% 1.94/2.40  ncf('1.1.1.2',plain,[sdtasdt0(xp, xm) = sdtasdt0(xp, xm), aNaturalNumber0(xm)],extension(939 ^ 5,bind([[_155150], [xm]]))).
% 1.94/2.40  ncf('1.1.1.2.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 1.94/2.40  ncf('1.1.1.3',plain,[-(aNaturalNumber0(sdtasdt0(xp, xm))), aNaturalNumber0(xp), aNaturalNumber0(xm)],extension(148 ^ 5,bind([[_130996, _130998], [xm, xp]]))).
% 1.94/2.40  ncf('1.1.1.3.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 6)).
% 1.94/2.40  ncf('1.1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 1.94/2.40  ncf('1.1.1.4',plain,[-(aNaturalNumber0(sdtasdt0(xp, xm)))],lemmata('[1, 1].x')).
% 1.94/2.40  ncf('1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 1.94/2.40  ncf('1.1.3',plain,[xp = sz10, 740 : isPrime0(xp), 740 : aNaturalNumber0(xp)],extension(736 ^ 2,bind([[_148486], [xp]]))).
% 1.94/2.40  ncf('1.1.3.1',plain,[-(isPrime0(xp))],extension(900 ^ 5)).
% 1.94/2.40  ncf('1.1.3.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 1.94/2.40  %-----------------------------------------------------
% 1.94/2.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------