TSTP Solution File: NUM505+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM505+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n024.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 11:44:48 EDT 2023
% Result : Theorem 0.83s 1.39s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM505+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n024.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 17:39:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.83/1.39
% 0.83/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.83/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.39 %-----------------------------------------------------
% 0.83/1.39 ncf(matrix, plain, [(1010 ^ _136654) ^ [] : [sdtlseqdt0(xp, xk)], (1004 ^ _136654) ^ [_167561] : [aNaturalNumber0(_167561), sdtpldt0(xp, _167561) = xk], (1012 ^ _136654) ^ [] : [-(xk = xp), 1015 ^ _136654 : [(1022 ^ _136654) ^ [] : [sdtlseqdt0(xk, xp)], (1016 ^ _136654) ^ [_167851] : [aNaturalNumber0(_167851), sdtpldt0(xk, _167851) = xp]]], (82 ^ _136654) ^ [_139366, _139368, _139370, _139372] : [-(sdtmndt0(_139372, _139368) = sdtmndt0(_139370, _139366)), _139372 = _139370, _139368 = _139366], (92 ^ _136654) ^ [_139725, _139727, _139729, _139731] : [-(sdtsldt0(_139731, _139727) = sdtsldt0(_139729, _139725)), _139731 = _139729, _139727 = _139725], (102 ^ _136654) ^ [_140084, _140086, _140088, _140090] : [-(sdtasdt0(_140090, _140086) = sdtasdt0(_140088, _140084)), _140090 = _140088, _140086 = _140084], (112 ^ _136654) ^ [_140423, _140425, _140427, _140429] : [-(sdtpldt0(_140429, _140425) = sdtpldt0(_140427, _140423)), _140429 = _140427, _140425 = _140423], (2 ^ _136654) ^ [_136798] : [-(_136798 = _136798)], (4 ^ _136654) ^ [_136905, _136907] : [_136907 = _136905, -(_136905 = _136907)], (10 ^ _136654) ^ [_137109, _137111, _137113] : [-(_137113 = _137109), _137113 = _137111, _137111 = _137109], (20 ^ _136654) ^ [_137450, _137452, _137454, _137456] : [-(iLess0(_137454, _137450)), iLess0(_137456, _137452), _137456 = _137454, _137452 = _137450], (34 ^ _136654) ^ [_137866, _137868] : [-(isPrime0(_137866)), _137868 = _137866, isPrime0(_137868)], (44 ^ _136654) ^ [_138189, _138191, _138193, _138195] : [-(doDivides0(_138193, _138189)), doDivides0(_138195, _138191), _138195 = _138193, _138191 = _138189], (58 ^ _136654) ^ [_138605, _138607] : [-(aNaturalNumber0(_138605)), _138607 = _138605, aNaturalNumber0(_138607)], (68 ^ _136654) ^ [_138908, _138910, _138912, _138914] : [-(sdtlseqdt0(_138912, _138908)), sdtlseqdt0(_138914, _138910), _138914 = _138912, _138910 = _138908], (122 ^ _136654) ^ [_140754] : [aNaturalNumber0(_140754), true___, -(true___)], (132 ^ _136654) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _136654) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _136654) ^ [] : [sz10 = sz00], (138 ^ _136654) ^ [_141183, _141185] : [-(aNaturalNumber0(sdtpldt0(_141185, _141183))), aNaturalNumber0(_141185), aNaturalNumber0(_141183)], (148 ^ _136654) ^ [_141482, _141484] : [-(aNaturalNumber0(sdtasdt0(_141484, _141482))), aNaturalNumber0(_141484), aNaturalNumber0(_141482)], (158 ^ _136654) ^ [_141781, _141783] : [-(sdtpldt0(_141783, _141781) = sdtpldt0(_141781, _141783)), aNaturalNumber0(_141783), aNaturalNumber0(_141781)], (168 ^ _136654) ^ [_142102, _142104, _142106] : [-(sdtpldt0(sdtpldt0(_142106, _142104), _142102) = sdtpldt0(_142106, sdtpldt0(_142104, _142102))), aNaturalNumber0(_142106), aNaturalNumber0(_142104), aNaturalNumber0(_142102)], (182 ^ _136654) ^ [_142508] : [aNaturalNumber0(_142508), 185 ^ _136654 : [(186 ^ _136654) ^ [] : [-(sdtpldt0(_142508, sz00) = _142508)], (188 ^ _136654) ^ [] : [-(_142508 = sdtpldt0(sz00, _142508))]]], (190 ^ _136654) ^ [_142795, _142797] : [-(sdtasdt0(_142797, _142795) = sdtasdt0(_142795, _142797)), aNaturalNumber0(_142797), aNaturalNumber0(_142795)], (200 ^ _136654) ^ [_143116, _143118, _143120] : [-(sdtasdt0(sdtasdt0(_143120, _143118), _143116) = sdtasdt0(_143120, sdtasdt0(_143118, _143116))), aNaturalNumber0(_143120), aNaturalNumber0(_143118), aNaturalNumber0(_143116)], (214 ^ _136654) ^ [_143522] : [aNaturalNumber0(_143522), 217 ^ _136654 : [(218 ^ _136654) ^ [] : [-(sdtasdt0(_143522, sz10) = _143522)], (220 ^ _136654) ^ [] : [-(_143522 = sdtasdt0(sz10, _143522))]]], (222 ^ _136654) ^ [_143795] : [aNaturalNumber0(_143795), 225 ^ _136654 : [(226 ^ _136654) ^ [] : [-(sdtasdt0(_143795, sz00) = sz00)], (228 ^ _136654) ^ [] : [-(sz00 = sdtasdt0(sz00, _143795))]]], (230 ^ _136654) ^ [_144096, _144098, _144100] : [241 ^ _136654 : [(242 ^ _136654) ^ [] : [-(sdtasdt0(_144100, sdtpldt0(_144098, _144096)) = sdtpldt0(sdtasdt0(_144100, _144098), sdtasdt0(_144100, _144096)))], (244 ^ _136654) ^ [] : [-(sdtasdt0(sdtpldt0(_144098, _144096), _144100) = sdtpldt0(sdtasdt0(_144098, _144100), sdtasdt0(_144096, _144100)))]], aNaturalNumber0(_144100), aNaturalNumber0(_144098), aNaturalNumber0(_144096)], (246 ^ _136654) ^ [_144643, _144645, _144647] : [259 ^ _136654 : [(260 ^ _136654) ^ [] : [sdtpldt0(_144647, _144645) = sdtpldt0(_144647, _144643)], (262 ^ _136654) ^ [] : [sdtpldt0(_144645, _144647) = sdtpldt0(_144643, _144647)]], -(_144645 = _144643), aNaturalNumber0(_144647), aNaturalNumber0(_144645), aNaturalNumber0(_144643)], (266 ^ _136654) ^ [_145220] : [aNaturalNumber0(_145220), -(_145220 = sz00), 273 ^ _136654 : [(274 ^ _136654) ^ [_145482, _145484] : [aNaturalNumber0(_145484), aNaturalNumber0(_145482), 283 ^ _136654 : [(284 ^ _136654) ^ [] : [sdtasdt0(_145220, _145484) = sdtasdt0(_145220, _145482)], (286 ^ _136654) ^ [] : [sdtasdt0(_145484, _145220) = sdtasdt0(_145482, _145220)]], -(_145484 = _145482)]]], (290 ^ _136654) ^ [_145993, _145995] : [aNaturalNumber0(_145995), aNaturalNumber0(_145993), sdtpldt0(_145995, _145993) = sz00, 301 ^ _136654 : [(302 ^ _136654) ^ [] : [-(_145995 = sz00)], (304 ^ _136654) ^ [] : [-(_145993 = sz00)]]], (306 ^ _136654) ^ [_146460, _146462] : [aNaturalNumber0(_146462), aNaturalNumber0(_146460), sdtasdt0(_146462, _146460) = sz00, -(_146462 = sz00), -(_146460 = sz00)], (324 ^ _136654) ^ [_146942, _146944] : [aNaturalNumber0(_146944), aNaturalNumber0(_146942), 331 ^ _136654 : [(332 ^ _136654) ^ [] : [sdtlseqdt0(_146944, _146942), 336 ^ _136654 : [(337 ^ _136654) ^ [] : [-(aNaturalNumber0(335 ^ [_146942, _146944]))], (339 ^ _136654) ^ [] : [-(sdtpldt0(_146944, 335 ^ [_146942, _146944]) = _146942)]]], (341 ^ _136654) ^ [] : [-(sdtlseqdt0(_146944, _146942)), 342 ^ _136654 : [(343 ^ _136654) ^ [_147502] : [aNaturalNumber0(_147502), sdtpldt0(_146944, _147502) = _146942]]]]], (351 ^ _136654) ^ [_147785, _147787] : [aNaturalNumber0(_147787), aNaturalNumber0(_147785), sdtlseqdt0(_147787, _147785), 362 ^ _136654 : [(363 ^ _136654) ^ [_148132] : [_148132 = sdtmndt0(_147785, _147787), 366 ^ _136654 : [(367 ^ _136654) ^ [] : [-(aNaturalNumber0(_148132))], (369 ^ _136654) ^ [] : [-(sdtpldt0(_147787, _148132) = _147785)]]], (371 ^ _136654) ^ [_148391] : [-(_148391 = sdtmndt0(_147785, _147787)), aNaturalNumber0(_148391), sdtpldt0(_147787, _148391) = _147785]]], (381 ^ _136654) ^ [_148713] : [aNaturalNumber0(_148713), -(sdtlseqdt0(_148713, _148713))], (387 ^ _136654) ^ [_148915, _148917] : [aNaturalNumber0(_148917), aNaturalNumber0(_148915), -(_148917 = _148915), sdtlseqdt0(_148917, _148915), sdtlseqdt0(_148915, _148917)], (405 ^ _136654) ^ [_149404, _149406, _149408] : [aNaturalNumber0(_149408), aNaturalNumber0(_149406), aNaturalNumber0(_149404), -(sdtlseqdt0(_149408, _149404)), sdtlseqdt0(_149408, _149406), sdtlseqdt0(_149406, _149404)], (427 ^ _136654) ^ [_149990, _149992] : [aNaturalNumber0(_149992), aNaturalNumber0(_149990), -(sdtlseqdt0(_149992, _149990)), 438 ^ _136654 : [(439 ^ _136654) ^ [] : [_149990 = _149992], (441 ^ _136654) ^ [] : [-(sdtlseqdt0(_149990, _149992))]]], (443 ^ _136654) ^ [_150453, _150455] : [aNaturalNumber0(_150455), aNaturalNumber0(_150453), -(_150455 = _150453), sdtlseqdt0(_150455, _150453), 458 ^ _136654 : [(459 ^ _136654) ^ [_150897] : [aNaturalNumber0(_150897), 462 ^ _136654 : [(463 ^ _136654) ^ [] : [sdtpldt0(_150897, _150455) = sdtpldt0(_150897, _150453)], (465 ^ _136654) ^ [] : [-(sdtlseqdt0(sdtpldt0(_150897, _150455), sdtpldt0(_150897, _150453)))], (467 ^ _136654) ^ [] : [sdtpldt0(_150455, _150897) = sdtpldt0(_150453, _150897)], (469 ^ _136654) ^ [] : [-(sdtlseqdt0(sdtpldt0(_150455, _150897), sdtpldt0(_150453, _150897)))]]]]], (471 ^ _136654) ^ [_151421, _151423, _151425] : [aNaturalNumber0(_151425), aNaturalNumber0(_151423), aNaturalNumber0(_151421), 494 ^ _136654 : [(495 ^ _136654) ^ [] : [sdtasdt0(_151425, _151423) = sdtasdt0(_151425, _151421)], (497 ^ _136654) ^ [] : [-(sdtlseqdt0(sdtasdt0(_151425, _151423), sdtasdt0(_151425, _151421)))], (499 ^ _136654) ^ [] : [sdtasdt0(_151423, _151425) = sdtasdt0(_151421, _151425)], (501 ^ _136654) ^ [] : [-(sdtlseqdt0(sdtasdt0(_151423, _151425), sdtasdt0(_151421, _151425)))]], -(_151425 = sz00), -(_151423 = _151421), sdtlseqdt0(_151423, _151421)], (503 ^ _136654) ^ [_152371] : [aNaturalNumber0(_152371), -(_152371 = sz00), -(_152371 = sz10), 514 ^ _136654 : [(515 ^ _136654) ^ [] : [sz10 = _152371], (517 ^ _136654) ^ [] : [-(sdtlseqdt0(sz10, _152371))]]], (519 ^ _136654) ^ [_152819, _152821] : [aNaturalNumber0(_152821), aNaturalNumber0(_152819), -(_152821 = sz00), -(sdtlseqdt0(_152819, sdtasdt0(_152819, _152821)))], (533 ^ _136654) ^ [_153214, _153216] : [aNaturalNumber0(_153216), aNaturalNumber0(_153214), iLess0(_153216, _153214), true___, -(true___)], (551 ^ _136654) ^ [_153674, _153676] : [aNaturalNumber0(_153676), aNaturalNumber0(_153674), -(iLess0(_153676, _153674)), -(_153676 = _153674), sdtlseqdt0(_153676, _153674)], (569 ^ _136654) ^ [_154152, _154154] : [aNaturalNumber0(_154154), aNaturalNumber0(_154152), 576 ^ _136654 : [(577 ^ _136654) ^ [] : [doDivides0(_154154, _154152), 581 ^ _136654 : [(582 ^ _136654) ^ [] : [-(aNaturalNumber0(580 ^ [_154152, _154154]))], (584 ^ _136654) ^ [] : [-(_154152 = sdtasdt0(_154154, 580 ^ [_154152, _154154]))]]], (586 ^ _136654) ^ [] : [-(doDivides0(_154154, _154152)), 587 ^ _136654 : [(588 ^ _136654) ^ [_154712] : [aNaturalNumber0(_154712), _154152 = sdtasdt0(_154154, _154712)]]]]], (596 ^ _136654) ^ [_154995, _154997] : [aNaturalNumber0(_154997), aNaturalNumber0(_154995), -(_154997 = sz00), doDivides0(_154997, _154995), 611 ^ _136654 : [(612 ^ _136654) ^ [_155434] : [_155434 = sdtsldt0(_154995, _154997), 615 ^ _136654 : [(616 ^ _136654) ^ [] : [-(aNaturalNumber0(_155434))], (618 ^ _136654) ^ [] : [-(_154995 = sdtasdt0(_154997, _155434))]]], (620 ^ _136654) ^ [_155693] : [-(_155693 = sdtsldt0(_154995, _154997)), aNaturalNumber0(_155693), _154995 = sdtasdt0(_154997, _155693)]]], (630 ^ _136654) ^ [_156045, _156047, _156049] : [aNaturalNumber0(_156049), aNaturalNumber0(_156047), aNaturalNumber0(_156045), -(doDivides0(_156049, _156045)), doDivides0(_156049, _156047), doDivides0(_156047, _156045)], (652 ^ _136654) ^ [_156645, _156647, _156649] : [aNaturalNumber0(_156649), aNaturalNumber0(_156647), aNaturalNumber0(_156645), -(doDivides0(_156649, sdtpldt0(_156647, _156645))), doDivides0(_156649, _156647), doDivides0(_156649, _156645)], (674 ^ _136654) ^ [_157251, _157253, _157255] : [aNaturalNumber0(_157255), aNaturalNumber0(_157253), aNaturalNumber0(_157251), -(doDivides0(_157255, _157251)), doDivides0(_157255, _157253), doDivides0(_157255, sdtpldt0(_157253, _157251))], (696 ^ _136654) ^ [_157843, _157845] : [aNaturalNumber0(_157845), aNaturalNumber0(_157843), -(sdtlseqdt0(_157845, _157843)), doDivides0(_157845, _157843), -(_157843 = sz00)], (714 ^ _136654) ^ [_158321, _158323] : [aNaturalNumber0(_158323), aNaturalNumber0(_158321), -(_158323 = sz00), doDivides0(_158323, _158321), 729 ^ _136654 : [(730 ^ _136654) ^ [_158731] : [aNaturalNumber0(_158731), -(sdtasdt0(_158731, sdtsldt0(_158321, _158323)) = sdtsldt0(sdtasdt0(_158731, _158321), _158323))]]], (736 ^ _136654) ^ [_158972] : [aNaturalNumber0(_158972), 739 ^ _136654 : [(762 ^ _136654) ^ [] : [-(isPrime0(_158972)), -(_158972 = sz00), -(_158972 = sz10), 772 ^ _136654 : [(773 ^ _136654) ^ [] : [-(aNaturalNumber0(771 ^ [_158972]))], (775 ^ _136654) ^ [] : [-(doDivides0(771 ^ [_158972], _158972))], (777 ^ _136654) ^ [] : [771 ^ [_158972] = sz10], (779 ^ _136654) ^ [] : [771 ^ [_158972] = _158972]]], (740 ^ _136654) ^ [] : [isPrime0(_158972), 743 ^ _136654 : [(744 ^ _136654) ^ [] : [_158972 = sz00], (746 ^ _136654) ^ [] : [_158972 = sz10], (748 ^ _136654) ^ [_159364] : [aNaturalNumber0(_159364), doDivides0(_159364, _158972), -(_159364 = sz10), -(_159364 = _158972)]]]]], (783 ^ _136654) ^ [_160316] : [795 ^ _136654 : [(796 ^ _136654) ^ [] : [-(aNaturalNumber0(794 ^ [_160316]))], (798 ^ _136654) ^ [] : [-(doDivides0(794 ^ [_160316], _160316))], (800 ^ _136654) ^ [] : [-(isPrime0(794 ^ [_160316]))]], aNaturalNumber0(_160316), -(_160316 = sz00), -(_160316 = sz10)], (802 ^ _136654) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _136654) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _136654) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _136654) ^ [_161083, _161085, _161087] : [aNaturalNumber0(_161087), aNaturalNumber0(_161085), aNaturalNumber0(_161083), iLess0(sdtpldt0(sdtpldt0(_161087, _161085), _161083), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _136654 : [(863 ^ _136654) ^ [] : [-(aNaturalNumber0(861 ^ [_161083, _161085, _161087]))], (865 ^ _136654) ^ [] : [-(_161087 = sdtasdt0(_161083, 861 ^ [_161083, _161085, _161087]))], (867 ^ _136654) ^ [] : [-(doDivides0(_161083, _161087))]], 869 ^ _136654 : [(870 ^ _136654) ^ [] : [-(aNaturalNumber0(868 ^ [_161083, _161085, _161087]))], (872 ^ _136654) ^ [] : [-(_161085 = sdtasdt0(_161083, 868 ^ [_161083, _161085, _161087]))], (874 ^ _136654) ^ [] : [-(doDivides0(_161083, _161085))]], 847 ^ _136654 : [(854 ^ _136654) ^ [] : [doDivides0(_161083, sdtasdt0(_161087, _161085))], (848 ^ _136654) ^ [_162504] : [aNaturalNumber0(_162504), sdtasdt0(_161087, _161085) = sdtasdt0(_161083, _162504)]], 823 ^ _136654 : [(846 ^ _136654) ^ [] : [isPrime0(_161083)], (824 ^ _136654) ^ [] : [-(_161083 = sz00), -(_161083 = sz10), 832 ^ _136654 : [(833 ^ _136654) ^ [] : [-(aNaturalNumber0(831 ^ [_161083, _161085, _161087]))], (836 ^ _136654) ^ [] : [-(aNaturalNumber0(834 ^ [_161083, _161085, _161087]))], (838 ^ _136654) ^ [] : [-(_161083 = sdtasdt0(831 ^ [_161083, _161085, _161087], 834 ^ [_161083, _161085, _161087]))], (840 ^ _136654) ^ [] : [-(doDivides0(831 ^ [_161083, _161085, _161087], _161083))], (842 ^ _136654) ^ [] : [831 ^ [_161083, _161085, _161087] = sz10], (844 ^ _136654) ^ [] : [831 ^ [_161083, _161085, _161087] = _161083]]]]], (876 ^ _136654) ^ [] : [xp = sz00], (878 ^ _136654) ^ [] : [xp = sz10], (900 ^ _136654) ^ [] : [-(isPrime0(xp))], (903 ^ _136654) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _136654) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _136654) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _136654) ^ [_163594] : [-(_163594 = sz10), -(_163594 = xp), aNaturalNumber0(_163594), 885 ^ _136654 : [(892 ^ _136654) ^ [] : [doDivides0(_163594, xp)], (886 ^ _136654) ^ [_163797] : [aNaturalNumber0(_163797), xp = sdtasdt0(_163594, _163797)]]], (915 ^ _136654) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _136654) ^ [_164455] : [aNaturalNumber0(_164455), sdtpldt0(xp, _164455) = xn], (923 ^ _136654) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _136654) ^ [_164702] : [aNaturalNumber0(_164702), sdtpldt0(xp, _164702) = xm], (925 ^ _136654) ^ [] : [xn = xp], (928 ^ _136654) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _136654) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _136654) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _136654) ^ [] : [xm = xp], (937 ^ _136654) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _136654) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _136654) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _136654) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _136654) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _136654) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _136654) ^ [] : [xk = sz00], (951 ^ _136654) ^ [] : [xk = sz10], (953 ^ _136654) ^ [] : [xk = sz00], (955 ^ _136654) ^ [] : [xk = sz10], (993 ^ _136654) ^ [] : [-(aNaturalNumber0(991 ^ []))], (995 ^ _136654) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (998 ^ _136654) ^ [] : [-(aNaturalNumber0(996 ^ []))], (1000 ^ _136654) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1002 ^ _136654) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (957 ^ _136654) ^ [] : [-(aNaturalNumber0(xr))], (960 ^ _136654) ^ [] : [-(aNaturalNumber0(958 ^ []))], (962 ^ _136654) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (964 ^ _136654) ^ [] : [-(doDivides0(xr, xk))], (966 ^ _136654) ^ [] : [xr = sz00], (968 ^ _136654) ^ [] : [xr = sz10], (990 ^ _136654) ^ [] : [-(isPrime0(xr))], (970 ^ _136654) ^ [_166217] : [-(_166217 = sz10), -(_166217 = xr), aNaturalNumber0(_166217), 975 ^ _136654 : [(982 ^ _136654) ^ [] : [doDivides0(_166217, xr)], (976 ^ _136654) ^ [_166420] : [aNaturalNumber0(_166420), xr = sdtasdt0(_166217, _166420)]]]], input).
% 0.83/1.39 ncf('1',plain,[sdtlseqdt0(xp, xk)],start(1010 ^ 0)).
% 0.83/1.39 ncf('1.1',plain,[-(sdtlseqdt0(xp, xk)), aNaturalNumber0(xp), aNaturalNumber0(xk), 439 : xk = xp],extension(427 ^ 1,bind([[_149990, _149992], [xk, xp]]))).
% 0.83/1.39 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 0.83/1.39 ncf('1.1.2',plain,[-(aNaturalNumber0(xk)), 612 : xk = sdtsldt0(sdtasdt0(xn, xm), xp), 612 : aNaturalNumber0(xp), 612 : aNaturalNumber0(sdtasdt0(xn, xm)), 612 : -(xp = sz00), 612 : doDivides0(xp, sdtasdt0(xn, xm))],extension(596 ^ 2,bind([[_154995, _154997, _155434], [sdtasdt0(xn, xm), xp, xk]]))).
% 0.83/1.39 ncf('1.1.2.1',plain,[-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))],extension(947 ^ 5)).
% 0.83/1.39 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 0.83/1.39 ncf('1.1.2.3',plain,[-(aNaturalNumber0(sdtasdt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(148 ^ 3,bind([[_141482, _141484], [xm, xn]]))).
% 0.83/1.39 ncf('1.1.2.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 0.83/1.39 ncf('1.1.2.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 0.83/1.39 ncf('1.1.2.4',plain,[xp = sz00, 740 : isPrime0(xp), 740 : aNaturalNumber0(xp)],extension(736 ^ 3,bind([[_158972], [xp]]))).
% 0.83/1.39 ncf('1.1.2.4.1',plain,[-(isPrime0(xp))],extension(900 ^ 6)).
% 0.83/1.39 ncf('1.1.2.4.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1, 1].x')).
% 0.83/1.39 ncf('1.1.2.5',plain,[-(doDivides0(xp, sdtasdt0(xn, xm)))],extension(907 ^ 3)).
% 0.83/1.39 ncf('1.1.3',plain,[-(xk = xp), 1022 : sdtlseqdt0(xk, xp)],extension(1012 ^ 4)).
% 0.83/1.39 ncf('1.1.3.1',plain,[-(sdtlseqdt0(xk, xp)), aNaturalNumber0(xk), aNaturalNumber0(xp), 441 : -(sdtlseqdt0(xp, xk))],extension(427 ^ 7,bind([[_149990, _149992], [xp, xk]]))).
% 0.83/1.39 ncf('1.1.3.1.1',plain,[-(aNaturalNumber0(xk))],lemmata('[1].x')).
% 0.83/1.39 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 0.83/1.39 ncf('1.1.3.1.3',plain,[sdtlseqdt0(xp, xk)],reduction('1')).
% 0.83/1.39 %-----------------------------------------------------
% 0.83/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------