TSTP Solution File: NUM517+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM517+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 11:44:51 EDT 2023
% Result : Theorem 8.88s 9.65s
% Output : Proof 8.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM517+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n022.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 17:23:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 8.88/9.65
% 8.88/9.65 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 8.88/9.65 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.88/9.65 %-----------------------------------------------------
% 8.88/9.65 ncf(matrix, plain, [(1081 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1083 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1091 ^ _160236) ^ [] : [doDivides0(xp, sdtsldt0(xn, xr))], (1085 ^ _160236) ^ [_193618] : [aNaturalNumber0(_193618), sdtsldt0(xn, xr) = sdtasdt0(xp, _193618)], (1099 ^ _160236) ^ [] : [doDivides0(xp, xm)], (1093 ^ _160236) ^ [_193849] : [aNaturalNumber0(_193849), xm = sdtasdt0(xp, _193849)], (82 ^ _160236) ^ [_162948, _162950, _162952, _162954] : [-(sdtmndt0(_162954, _162950) = sdtmndt0(_162952, _162948)), _162954 = _162952, _162950 = _162948], (92 ^ _160236) ^ [_163307, _163309, _163311, _163313] : [-(sdtpldt0(_163313, _163309) = sdtpldt0(_163311, _163307)), _163313 = _163311, _163309 = _163307], (102 ^ _160236) ^ [_163666, _163668, _163670, _163672] : [-(sdtsldt0(_163672, _163668) = sdtsldt0(_163670, _163666)), _163672 = _163670, _163668 = _163666], (112 ^ _160236) ^ [_164005, _164007, _164009, _164011] : [-(sdtasdt0(_164011, _164007) = sdtasdt0(_164009, _164005)), _164011 = _164009, _164007 = _164005], (2 ^ _160236) ^ [_160380] : [-(_160380 = _160380)], (4 ^ _160236) ^ [_160487, _160489] : [_160489 = _160487, -(_160487 = _160489)], (10 ^ _160236) ^ [_160691, _160693, _160695] : [-(_160695 = _160691), _160695 = _160693, _160693 = _160691], (20 ^ _160236) ^ [_161032, _161034, _161036, _161038] : [-(iLess0(_161036, _161032)), iLess0(_161038, _161034), _161038 = _161036, _161034 = _161032], (34 ^ _160236) ^ [_161448, _161450] : [-(isPrime0(_161448)), _161450 = _161448, isPrime0(_161450)], (44 ^ _160236) ^ [_161771, _161773, _161775, _161777] : [-(sdtlseqdt0(_161775, _161771)), sdtlseqdt0(_161777, _161773), _161777 = _161775, _161773 = _161771], (58 ^ _160236) ^ [_162187, _162189] : [-(aNaturalNumber0(_162187)), _162189 = _162187, aNaturalNumber0(_162189)], (68 ^ _160236) ^ [_162490, _162492, _162494, _162496] : [-(doDivides0(_162494, _162490)), doDivides0(_162496, _162492), _162496 = _162494, _162492 = _162490], (122 ^ _160236) ^ [_164336] : [aNaturalNumber0(_164336), true___, -(true___)], (132 ^ _160236) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _160236) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _160236) ^ [] : [sz10 = sz00], (138 ^ _160236) ^ [_164765, _164767] : [-(aNaturalNumber0(sdtpldt0(_164767, _164765))), aNaturalNumber0(_164767), aNaturalNumber0(_164765)], (148 ^ _160236) ^ [_165064, _165066] : [-(aNaturalNumber0(sdtasdt0(_165066, _165064))), aNaturalNumber0(_165066), aNaturalNumber0(_165064)], (158 ^ _160236) ^ [_165363, _165365] : [-(sdtpldt0(_165365, _165363) = sdtpldt0(_165363, _165365)), aNaturalNumber0(_165365), aNaturalNumber0(_165363)], (168 ^ _160236) ^ [_165684, _165686, _165688] : [-(sdtpldt0(sdtpldt0(_165688, _165686), _165684) = sdtpldt0(_165688, sdtpldt0(_165686, _165684))), aNaturalNumber0(_165688), aNaturalNumber0(_165686), aNaturalNumber0(_165684)], (182 ^ _160236) ^ [_166090] : [aNaturalNumber0(_166090), 185 ^ _160236 : [(186 ^ _160236) ^ [] : [-(sdtpldt0(_166090, sz00) = _166090)], (188 ^ _160236) ^ [] : [-(_166090 = sdtpldt0(sz00, _166090))]]], (190 ^ _160236) ^ [_166377, _166379] : [-(sdtasdt0(_166379, _166377) = sdtasdt0(_166377, _166379)), aNaturalNumber0(_166379), aNaturalNumber0(_166377)], (200 ^ _160236) ^ [_166698, _166700, _166702] : [-(sdtasdt0(sdtasdt0(_166702, _166700), _166698) = sdtasdt0(_166702, sdtasdt0(_166700, _166698))), aNaturalNumber0(_166702), aNaturalNumber0(_166700), aNaturalNumber0(_166698)], (214 ^ _160236) ^ [_167104] : [aNaturalNumber0(_167104), 217 ^ _160236 : [(218 ^ _160236) ^ [] : [-(sdtasdt0(_167104, sz10) = _167104)], (220 ^ _160236) ^ [] : [-(_167104 = sdtasdt0(sz10, _167104))]]], (222 ^ _160236) ^ [_167377] : [aNaturalNumber0(_167377), 225 ^ _160236 : [(226 ^ _160236) ^ [] : [-(sdtasdt0(_167377, sz00) = sz00)], (228 ^ _160236) ^ [] : [-(sz00 = sdtasdt0(sz00, _167377))]]], (230 ^ _160236) ^ [_167678, _167680, _167682] : [241 ^ _160236 : [(242 ^ _160236) ^ [] : [-(sdtasdt0(_167682, sdtpldt0(_167680, _167678)) = sdtpldt0(sdtasdt0(_167682, _167680), sdtasdt0(_167682, _167678)))], (244 ^ _160236) ^ [] : [-(sdtasdt0(sdtpldt0(_167680, _167678), _167682) = sdtpldt0(sdtasdt0(_167680, _167682), sdtasdt0(_167678, _167682)))]], aNaturalNumber0(_167682), aNaturalNumber0(_167680), aNaturalNumber0(_167678)], (246 ^ _160236) ^ [_168225, _168227, _168229] : [259 ^ _160236 : [(260 ^ _160236) ^ [] : [sdtpldt0(_168229, _168227) = sdtpldt0(_168229, _168225)], (262 ^ _160236) ^ [] : [sdtpldt0(_168227, _168229) = sdtpldt0(_168225, _168229)]], -(_168227 = _168225), aNaturalNumber0(_168229), aNaturalNumber0(_168227), aNaturalNumber0(_168225)], (266 ^ _160236) ^ [_168802] : [aNaturalNumber0(_168802), -(_168802 = sz00), 273 ^ _160236 : [(274 ^ _160236) ^ [_169064, _169066] : [aNaturalNumber0(_169066), aNaturalNumber0(_169064), 283 ^ _160236 : [(284 ^ _160236) ^ [] : [sdtasdt0(_168802, _169066) = sdtasdt0(_168802, _169064)], (286 ^ _160236) ^ [] : [sdtasdt0(_169066, _168802) = sdtasdt0(_169064, _168802)]], -(_169066 = _169064)]]], (290 ^ _160236) ^ [_169575, _169577] : [aNaturalNumber0(_169577), aNaturalNumber0(_169575), sdtpldt0(_169577, _169575) = sz00, 301 ^ _160236 : [(302 ^ _160236) ^ [] : [-(_169577 = sz00)], (304 ^ _160236) ^ [] : [-(_169575 = sz00)]]], (306 ^ _160236) ^ [_170042, _170044] : [aNaturalNumber0(_170044), aNaturalNumber0(_170042), sdtasdt0(_170044, _170042) = sz00, -(_170044 = sz00), -(_170042 = sz00)], (324 ^ _160236) ^ [_170524, _170526] : [aNaturalNumber0(_170526), aNaturalNumber0(_170524), 331 ^ _160236 : [(332 ^ _160236) ^ [] : [sdtlseqdt0(_170526, _170524), 336 ^ _160236 : [(337 ^ _160236) ^ [] : [-(aNaturalNumber0(335 ^ [_170524, _170526]))], (339 ^ _160236) ^ [] : [-(sdtpldt0(_170526, 335 ^ [_170524, _170526]) = _170524)]]], (341 ^ _160236) ^ [] : [-(sdtlseqdt0(_170526, _170524)), 342 ^ _160236 : [(343 ^ _160236) ^ [_171084] : [aNaturalNumber0(_171084), sdtpldt0(_170526, _171084) = _170524]]]]], (351 ^ _160236) ^ [_171367, _171369] : [aNaturalNumber0(_171369), aNaturalNumber0(_171367), sdtlseqdt0(_171369, _171367), 362 ^ _160236 : [(363 ^ _160236) ^ [_171714] : [_171714 = sdtmndt0(_171367, _171369), 366 ^ _160236 : [(367 ^ _160236) ^ [] : [-(aNaturalNumber0(_171714))], (369 ^ _160236) ^ [] : [-(sdtpldt0(_171369, _171714) = _171367)]]], (371 ^ _160236) ^ [_171973] : [-(_171973 = sdtmndt0(_171367, _171369)), aNaturalNumber0(_171973), sdtpldt0(_171369, _171973) = _171367]]], (381 ^ _160236) ^ [_172295] : [aNaturalNumber0(_172295), -(sdtlseqdt0(_172295, _172295))], (387 ^ _160236) ^ [_172497, _172499] : [aNaturalNumber0(_172499), aNaturalNumber0(_172497), -(_172499 = _172497), sdtlseqdt0(_172499, _172497), sdtlseqdt0(_172497, _172499)], (405 ^ _160236) ^ [_172986, _172988, _172990] : [aNaturalNumber0(_172990), aNaturalNumber0(_172988), aNaturalNumber0(_172986), -(sdtlseqdt0(_172990, _172986)), sdtlseqdt0(_172990, _172988), sdtlseqdt0(_172988, _172986)], (427 ^ _160236) ^ [_173572, _173574] : [aNaturalNumber0(_173574), aNaturalNumber0(_173572), -(sdtlseqdt0(_173574, _173572)), 438 ^ _160236 : [(439 ^ _160236) ^ [] : [_173572 = _173574], (441 ^ _160236) ^ [] : [-(sdtlseqdt0(_173572, _173574))]]], (443 ^ _160236) ^ [_174035, _174037] : [aNaturalNumber0(_174037), aNaturalNumber0(_174035), -(_174037 = _174035), sdtlseqdt0(_174037, _174035), 458 ^ _160236 : [(459 ^ _160236) ^ [_174479] : [aNaturalNumber0(_174479), 462 ^ _160236 : [(463 ^ _160236) ^ [] : [sdtpldt0(_174479, _174037) = sdtpldt0(_174479, _174035)], (465 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtpldt0(_174479, _174037), sdtpldt0(_174479, _174035)))], (467 ^ _160236) ^ [] : [sdtpldt0(_174037, _174479) = sdtpldt0(_174035, _174479)], (469 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtpldt0(_174037, _174479), sdtpldt0(_174035, _174479)))]]]]], (471 ^ _160236) ^ [_175003, _175005, _175007] : [aNaturalNumber0(_175007), aNaturalNumber0(_175005), aNaturalNumber0(_175003), 494 ^ _160236 : [(495 ^ _160236) ^ [] : [sdtasdt0(_175007, _175005) = sdtasdt0(_175007, _175003)], (497 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtasdt0(_175007, _175005), sdtasdt0(_175007, _175003)))], (499 ^ _160236) ^ [] : [sdtasdt0(_175005, _175007) = sdtasdt0(_175003, _175007)], (501 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtasdt0(_175005, _175007), sdtasdt0(_175003, _175007)))]], -(_175007 = sz00), -(_175005 = _175003), sdtlseqdt0(_175005, _175003)], (503 ^ _160236) ^ [_175953] : [aNaturalNumber0(_175953), -(_175953 = sz00), -(_175953 = sz10), 514 ^ _160236 : [(515 ^ _160236) ^ [] : [sz10 = _175953], (517 ^ _160236) ^ [] : [-(sdtlseqdt0(sz10, _175953))]]], (519 ^ _160236) ^ [_176401, _176403] : [aNaturalNumber0(_176403), aNaturalNumber0(_176401), -(_176403 = sz00), -(sdtlseqdt0(_176401, sdtasdt0(_176401, _176403)))], (533 ^ _160236) ^ [_176796, _176798] : [aNaturalNumber0(_176798), aNaturalNumber0(_176796), iLess0(_176798, _176796), true___, -(true___)], (551 ^ _160236) ^ [_177256, _177258] : [aNaturalNumber0(_177258), aNaturalNumber0(_177256), -(iLess0(_177258, _177256)), -(_177258 = _177256), sdtlseqdt0(_177258, _177256)], (569 ^ _160236) ^ [_177734, _177736] : [aNaturalNumber0(_177736), aNaturalNumber0(_177734), 576 ^ _160236 : [(577 ^ _160236) ^ [] : [doDivides0(_177736, _177734), 581 ^ _160236 : [(582 ^ _160236) ^ [] : [-(aNaturalNumber0(580 ^ [_177734, _177736]))], (584 ^ _160236) ^ [] : [-(_177734 = sdtasdt0(_177736, 580 ^ [_177734, _177736]))]]], (586 ^ _160236) ^ [] : [-(doDivides0(_177736, _177734)), 587 ^ _160236 : [(588 ^ _160236) ^ [_178294] : [aNaturalNumber0(_178294), _177734 = sdtasdt0(_177736, _178294)]]]]], (596 ^ _160236) ^ [_178577, _178579] : [aNaturalNumber0(_178579), aNaturalNumber0(_178577), -(_178579 = sz00), doDivides0(_178579, _178577), 611 ^ _160236 : [(612 ^ _160236) ^ [_179016] : [_179016 = sdtsldt0(_178577, _178579), 615 ^ _160236 : [(616 ^ _160236) ^ [] : [-(aNaturalNumber0(_179016))], (618 ^ _160236) ^ [] : [-(_178577 = sdtasdt0(_178579, _179016))]]], (620 ^ _160236) ^ [_179275] : [-(_179275 = sdtsldt0(_178577, _178579)), aNaturalNumber0(_179275), _178577 = sdtasdt0(_178579, _179275)]]], (630 ^ _160236) ^ [_179627, _179629, _179631] : [aNaturalNumber0(_179631), aNaturalNumber0(_179629), aNaturalNumber0(_179627), -(doDivides0(_179631, _179627)), doDivides0(_179631, _179629), doDivides0(_179629, _179627)], (652 ^ _160236) ^ [_180227, _180229, _180231] : [aNaturalNumber0(_180231), aNaturalNumber0(_180229), aNaturalNumber0(_180227), -(doDivides0(_180231, sdtpldt0(_180229, _180227))), doDivides0(_180231, _180229), doDivides0(_180231, _180227)], (674 ^ _160236) ^ [_180833, _180835, _180837] : [aNaturalNumber0(_180837), aNaturalNumber0(_180835), aNaturalNumber0(_180833), -(doDivides0(_180837, _180833)), doDivides0(_180837, _180835), doDivides0(_180837, sdtpldt0(_180835, _180833))], (696 ^ _160236) ^ [_181425, _181427] : [aNaturalNumber0(_181427), aNaturalNumber0(_181425), -(sdtlseqdt0(_181427, _181425)), doDivides0(_181427, _181425), -(_181425 = sz00)], (714 ^ _160236) ^ [_181903, _181905] : [aNaturalNumber0(_181905), aNaturalNumber0(_181903), -(_181905 = sz00), doDivides0(_181905, _181903), 729 ^ _160236 : [(730 ^ _160236) ^ [_182313] : [aNaturalNumber0(_182313), -(sdtasdt0(_182313, sdtsldt0(_181903, _181905)) = sdtsldt0(sdtasdt0(_182313, _181903), _181905))]]], (736 ^ _160236) ^ [_182554] : [aNaturalNumber0(_182554), 739 ^ _160236 : [(762 ^ _160236) ^ [] : [-(isPrime0(_182554)), -(_182554 = sz00), -(_182554 = sz10), 772 ^ _160236 : [(773 ^ _160236) ^ [] : [-(aNaturalNumber0(771 ^ [_182554]))], (775 ^ _160236) ^ [] : [-(doDivides0(771 ^ [_182554], _182554))], (777 ^ _160236) ^ [] : [771 ^ [_182554] = sz10], (779 ^ _160236) ^ [] : [771 ^ [_182554] = _182554]]], (740 ^ _160236) ^ [] : [isPrime0(_182554), 743 ^ _160236 : [(744 ^ _160236) ^ [] : [_182554 = sz00], (746 ^ _160236) ^ [] : [_182554 = sz10], (748 ^ _160236) ^ [_182946] : [aNaturalNumber0(_182946), doDivides0(_182946, _182554), -(_182946 = sz10), -(_182946 = _182554)]]]]], (783 ^ _160236) ^ [_183898] : [795 ^ _160236 : [(796 ^ _160236) ^ [] : [-(aNaturalNumber0(794 ^ [_183898]))], (798 ^ _160236) ^ [] : [-(doDivides0(794 ^ [_183898], _183898))], (800 ^ _160236) ^ [] : [-(isPrime0(794 ^ [_183898]))]], aNaturalNumber0(_183898), -(_183898 = sz00), -(_183898 = sz10)], (802 ^ _160236) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _160236) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _160236) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _160236) ^ [_184665, _184667, _184669] : [aNaturalNumber0(_184669), aNaturalNumber0(_184667), aNaturalNumber0(_184665), iLess0(sdtpldt0(sdtpldt0(_184669, _184667), _184665), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _160236 : [(863 ^ _160236) ^ [] : [-(aNaturalNumber0(861 ^ [_184665, _184667, _184669]))], (865 ^ _160236) ^ [] : [-(_184669 = sdtasdt0(_184665, 861 ^ [_184665, _184667, _184669]))], (867 ^ _160236) ^ [] : [-(doDivides0(_184665, _184669))]], 869 ^ _160236 : [(870 ^ _160236) ^ [] : [-(aNaturalNumber0(868 ^ [_184665, _184667, _184669]))], (872 ^ _160236) ^ [] : [-(_184667 = sdtasdt0(_184665, 868 ^ [_184665, _184667, _184669]))], (874 ^ _160236) ^ [] : [-(doDivides0(_184665, _184667))]], 847 ^ _160236 : [(854 ^ _160236) ^ [] : [doDivides0(_184665, sdtasdt0(_184669, _184667))], (848 ^ _160236) ^ [_186086] : [aNaturalNumber0(_186086), sdtasdt0(_184669, _184667) = sdtasdt0(_184665, _186086)]], 823 ^ _160236 : [(846 ^ _160236) ^ [] : [isPrime0(_184665)], (824 ^ _160236) ^ [] : [-(_184665 = sz00), -(_184665 = sz10), 832 ^ _160236 : [(833 ^ _160236) ^ [] : [-(aNaturalNumber0(831 ^ [_184665, _184667, _184669]))], (836 ^ _160236) ^ [] : [-(aNaturalNumber0(834 ^ [_184665, _184667, _184669]))], (838 ^ _160236) ^ [] : [-(_184665 = sdtasdt0(831 ^ [_184665, _184667, _184669], 834 ^ [_184665, _184667, _184669]))], (840 ^ _160236) ^ [] : [-(doDivides0(831 ^ [_184665, _184667, _184669], _184665))], (842 ^ _160236) ^ [] : [831 ^ [_184665, _184667, _184669] = sz10], (844 ^ _160236) ^ [] : [831 ^ [_184665, _184667, _184669] = _184665]]]]], (876 ^ _160236) ^ [] : [xp = sz00], (878 ^ _160236) ^ [] : [xp = sz10], (900 ^ _160236) ^ [] : [-(isPrime0(xp))], (903 ^ _160236) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _160236) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _160236) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _160236) ^ [_187176] : [-(_187176 = sz10), -(_187176 = xp), aNaturalNumber0(_187176), 885 ^ _160236 : [(892 ^ _160236) ^ [] : [doDivides0(_187176, xp)], (886 ^ _160236) ^ [_187379] : [aNaturalNumber0(_187379), xp = sdtasdt0(_187176, _187379)]]], (915 ^ _160236) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _160236) ^ [_188037] : [aNaturalNumber0(_188037), sdtpldt0(xp, _188037) = xn], (923 ^ _160236) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _160236) ^ [_188284] : [aNaturalNumber0(_188284), sdtpldt0(xp, _188284) = xm], (925 ^ _160236) ^ [] : [xn = xp], (928 ^ _160236) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _160236) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _160236) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _160236) ^ [] : [xm = xp], (937 ^ _160236) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _160236) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _160236) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _160236) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _160236) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _160236) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _160236) ^ [] : [xk = sz00], (951 ^ _160236) ^ [] : [xk = sz10], (953 ^ _160236) ^ [] : [xk = sz00], (955 ^ _160236) ^ [] : [xk = sz10], (993 ^ _160236) ^ [] : [-(aNaturalNumber0(991 ^ []))], (995 ^ _160236) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (998 ^ _160236) ^ [] : [-(aNaturalNumber0(996 ^ []))], (1000 ^ _160236) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1002 ^ _160236) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (1004 ^ _160236) ^ [] : [xk = xp], (1007 ^ _160236) ^ [] : [-(aNaturalNumber0(1005 ^ []))], (1009 ^ _160236) ^ [] : [-(sdtpldt0(xk, 1005 ^ []) = xp)], (1011 ^ _160236) ^ [] : [-(sdtlseqdt0(xk, xp))], (1030 ^ _160236) ^ [] : [-(aNaturalNumber0(1028 ^ []))], (1032 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, 1028 ^ []))], (1034 ^ _160236) ^ [] : [-(doDivides0(xr, xn))], (1036 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1038 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1040 ^ _160236) ^ [] : [sdtsldt0(xn, xr) = xn], (1042 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1044 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1047 ^ _160236) ^ [] : [-(aNaturalNumber0(1045 ^ []))], (1049 ^ _160236) ^ [] : [-(sdtpldt0(sdtsldt0(xn, xr), 1045 ^ []) = xn)], (1051 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], (1053 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1055 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1058 ^ _160236) ^ [] : [-(aNaturalNumber0(1056 ^ []))], (1060 ^ _160236) ^ [] : [-(sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, 1056 ^ []))], (1062 ^ _160236) ^ [] : [-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))], (1064 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1066 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1068 ^ _160236) ^ [] : [sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], (1070 ^ _160236) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1072 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1075 ^ _160236) ^ [] : [-(aNaturalNumber0(1073 ^ []))], (1077 ^ _160236) ^ [] : [-(sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), 1073 ^ []) = sdtpldt0(sdtpldt0(xn, xm), xp))], (1079 ^ _160236) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], (1013 ^ _160236) ^ [] : [1015 ^ _160236 : [(1016 ^ _160236) ^ [] : [-(aNaturalNumber0(1014 ^ []))], (1018 ^ _160236) ^ [] : [-(xn = sdtasdt0(xr, 1014 ^ []))], (1020 ^ _160236) ^ [] : [-(doDivides0(xr, xn))]], 1022 ^ _160236 : [(1023 ^ _160236) ^ [] : [-(aNaturalNumber0(1021 ^ []))], (1025 ^ _160236) ^ [] : [-(xm = sdtasdt0(xr, 1021 ^ []))], (1027 ^ _160236) ^ [] : [-(doDivides0(xr, xm))]]], (957 ^ _160236) ^ [] : [-(aNaturalNumber0(xr))], (960 ^ _160236) ^ [] : [-(aNaturalNumber0(958 ^ []))], (962 ^ _160236) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (964 ^ _160236) ^ [] : [-(doDivides0(xr, xk))], (966 ^ _160236) ^ [] : [xr = sz00], (968 ^ _160236) ^ [] : [xr = sz10], (990 ^ _160236) ^ [] : [-(isPrime0(xr))], (970 ^ _160236) ^ [_189799] : [-(_189799 = sz10), -(_189799 = xr), aNaturalNumber0(_189799), 975 ^ _160236 : [(982 ^ _160236) ^ [] : [doDivides0(_189799, xr)], (976 ^ _160236) ^ [_190002] : [aNaturalNumber0(_190002), xr = sdtasdt0(_189799, _190002)]]]], input).
% 8.88/9.65 ncf('1',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(1068 ^ 0)).
% 8.88/9.65 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(551 ^ 1,bind([[_177256, _177258], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp)]]))).
% 8.88/9.65 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp))), aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_164765, _164767], [xp, sdtpldt0(sdtsldt0(xn, xr), xm)]]))).
% 8.88/9.65 ncf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_164765, _164767], [xm, sdtsldt0(xn, xr)]]))).
% 8.88/9.65 ncf('1.1.1.1.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1081 ^ 4)).
% 8.88/9.65 ncf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.88/9.65 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 8.88/9.65 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_164765, _164767], [xp, sdtpldt0(xn, xm)]]))).
% 8.88/9.65 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_164765, _164767], [xm, xn]]))).
% 8.88/9.65 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.88/9.65 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.88/9.65 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 8.88/9.65 ncf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm), aNaturalNumber0(xp), 867 : -(doDivides0(xp, sdtsldt0(xn, xr))), 874 : -(doDivides0(xp, xm)), 854 : doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)), 846 : isPrime0(xp)],extension(808 ^ 2,bind([[_184665, _184667, _184669], [xp, xm, sdtsldt0(xn, xr)]]))).
% 8.88/9.65 ncf('1.1.3.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1081 ^ 3)).
% 8.88/9.65 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 8.88/9.65 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 8.88/9.65 ncf('1.1.3.4',plain,[doDivides0(xp, sdtsldt0(xn, xr))],extension(1091 ^ 5)).
% 8.88/9.65 ncf('1.1.3.5',plain,[doDivides0(xp, xm)],extension(1099 ^ 5)).
% 8.88/9.65 ncf('1.1.3.6',plain,[-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))],extension(1062 ^ 5)).
% 8.88/9.65 ncf('1.1.3.7',plain,[-(isPrime0(xp))],extension(900 ^ 5)).
% 8.88/9.65 ncf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))],extension(443 ^ 2,bind([[_174035, _174037, _174479], [sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 8.88/9.65 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 5)).
% 8.88/9.65 ncf('1.1.4.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_164765, _164767], [xm, sdtsldt0(xn, xr)]]))).
% 8.88/9.65 ncf('1.1.4.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1081 ^ 4)).
% 8.88/9.65 ncf('1.1.4.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.88/9.65 ncf('1.1.4.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_164765, _164767], [xm, xn]]))).
% 8.88/9.65 ncf('1.1.4.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.88/9.65 ncf('1.1.4.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.88/9.65 ncf('1.1.4.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), -(sdtsldt0(xn, xr) = xn), aNaturalNumber0(xm), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xn)],extension(246 ^ 3,bind([[_168225, _168227, _168229], [xn, sdtsldt0(xn, xr), xm]]))).
% 8.88/9.65 ncf('1.1.4.4.1',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 4)).
% 8.88/9.65 ncf('1.1.4.4.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.88/9.65 ncf('1.1.4.4.3',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1081 ^ 4)).
% 8.88/9.65 ncf('1.1.4.4.4',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.88/9.65 ncf('1.1.4.5',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 3,bind([[_174035, _174037, _174479], [xn, sdtsldt0(xn, xr), xm]]))).
% 8.88/9.65 ncf('1.1.4.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 8.88/9.65 ncf('1.1.4.5.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1081 ^ 4)).
% 8.88/9.65 ncf('1.1.4.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.88/9.65 ncf('1.1.4.5.4',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 4)).
% 8.88/9.65 ncf('1.1.4.5.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(1051 ^ 4)).
% 8.88/9.65 %-----------------------------------------------------
% 8.88/9.65 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------