TSTP Solution File: NUM514+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:44:50 EDT 2023
% Result : Theorem 107.51s 104.71s
% Output : Proof 107.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM514+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.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 17:05:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 107.51/104.71
% 107.51/104.71 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 107.51/104.71 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 107.51/104.71 %-----------------------------------------------------
% 107.51/104.71 ncf(matrix, plain, [(1075 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1077 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1085 ^ _148493) ^ [] : [doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm))], (1079 ^ _148493) ^ [_181640] : [aNaturalNumber0(_181640), sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, _181640)], (82 ^ _148493) ^ [_151205, _151207, _151209, _151211] : [-(sdtmndt0(_151211, _151207) = sdtmndt0(_151209, _151205)), _151211 = _151209, _151207 = _151205], (92 ^ _148493) ^ [_151564, _151566, _151568, _151570] : [-(sdtpldt0(_151570, _151566) = sdtpldt0(_151568, _151564)), _151570 = _151568, _151566 = _151564], (102 ^ _148493) ^ [_151923, _151925, _151927, _151929] : [-(sdtasdt0(_151929, _151925) = sdtasdt0(_151927, _151923)), _151929 = _151927, _151925 = _151923], (112 ^ _148493) ^ [_152262, _152264, _152266, _152268] : [-(sdtsldt0(_152268, _152264) = sdtsldt0(_152266, _152262)), _152268 = _152266, _152264 = _152262], (2 ^ _148493) ^ [_148637] : [-(_148637 = _148637)], (4 ^ _148493) ^ [_148744, _148746] : [_148746 = _148744, -(_148744 = _148746)], (10 ^ _148493) ^ [_148948, _148950, _148952] : [-(_148952 = _148948), _148952 = _148950, _148950 = _148948], (20 ^ _148493) ^ [_149289, _149291, _149293, _149295] : [-(iLess0(_149293, _149289)), iLess0(_149295, _149291), _149295 = _149293, _149291 = _149289], (34 ^ _148493) ^ [_149705, _149707] : [-(isPrime0(_149705)), _149707 = _149705, isPrime0(_149707)], (44 ^ _148493) ^ [_150028, _150030, _150032, _150034] : [-(sdtlseqdt0(_150032, _150028)), sdtlseqdt0(_150034, _150030), _150034 = _150032, _150030 = _150028], (58 ^ _148493) ^ [_150444, _150446] : [-(aNaturalNumber0(_150444)), _150446 = _150444, aNaturalNumber0(_150446)], (68 ^ _148493) ^ [_150747, _150749, _150751, _150753] : [-(doDivides0(_150751, _150747)), doDivides0(_150753, _150749), _150753 = _150751, _150749 = _150747], (122 ^ _148493) ^ [_152593] : [aNaturalNumber0(_152593), true___, -(true___)], (132 ^ _148493) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _148493) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _148493) ^ [] : [sz10 = sz00], (138 ^ _148493) ^ [_153022, _153024] : [-(aNaturalNumber0(sdtpldt0(_153024, _153022))), aNaturalNumber0(_153024), aNaturalNumber0(_153022)], (148 ^ _148493) ^ [_153321, _153323] : [-(aNaturalNumber0(sdtasdt0(_153323, _153321))), aNaturalNumber0(_153323), aNaturalNumber0(_153321)], (158 ^ _148493) ^ [_153620, _153622] : [-(sdtpldt0(_153622, _153620) = sdtpldt0(_153620, _153622)), aNaturalNumber0(_153622), aNaturalNumber0(_153620)], (168 ^ _148493) ^ [_153941, _153943, _153945] : [-(sdtpldt0(sdtpldt0(_153945, _153943), _153941) = sdtpldt0(_153945, sdtpldt0(_153943, _153941))), aNaturalNumber0(_153945), aNaturalNumber0(_153943), aNaturalNumber0(_153941)], (182 ^ _148493) ^ [_154347] : [aNaturalNumber0(_154347), 185 ^ _148493 : [(186 ^ _148493) ^ [] : [-(sdtpldt0(_154347, sz00) = _154347)], (188 ^ _148493) ^ [] : [-(_154347 = sdtpldt0(sz00, _154347))]]], (190 ^ _148493) ^ [_154634, _154636] : [-(sdtasdt0(_154636, _154634) = sdtasdt0(_154634, _154636)), aNaturalNumber0(_154636), aNaturalNumber0(_154634)], (200 ^ _148493) ^ [_154955, _154957, _154959] : [-(sdtasdt0(sdtasdt0(_154959, _154957), _154955) = sdtasdt0(_154959, sdtasdt0(_154957, _154955))), aNaturalNumber0(_154959), aNaturalNumber0(_154957), aNaturalNumber0(_154955)], (214 ^ _148493) ^ [_155361] : [aNaturalNumber0(_155361), 217 ^ _148493 : [(218 ^ _148493) ^ [] : [-(sdtasdt0(_155361, sz10) = _155361)], (220 ^ _148493) ^ [] : [-(_155361 = sdtasdt0(sz10, _155361))]]], (222 ^ _148493) ^ [_155634] : [aNaturalNumber0(_155634), 225 ^ _148493 : [(226 ^ _148493) ^ [] : [-(sdtasdt0(_155634, sz00) = sz00)], (228 ^ _148493) ^ [] : [-(sz00 = sdtasdt0(sz00, _155634))]]], (230 ^ _148493) ^ [_155935, _155937, _155939] : [241 ^ _148493 : [(242 ^ _148493) ^ [] : [-(sdtasdt0(_155939, sdtpldt0(_155937, _155935)) = sdtpldt0(sdtasdt0(_155939, _155937), sdtasdt0(_155939, _155935)))], (244 ^ _148493) ^ [] : [-(sdtasdt0(sdtpldt0(_155937, _155935), _155939) = sdtpldt0(sdtasdt0(_155937, _155939), sdtasdt0(_155935, _155939)))]], aNaturalNumber0(_155939), aNaturalNumber0(_155937), aNaturalNumber0(_155935)], (246 ^ _148493) ^ [_156482, _156484, _156486] : [259 ^ _148493 : [(260 ^ _148493) ^ [] : [sdtpldt0(_156486, _156484) = sdtpldt0(_156486, _156482)], (262 ^ _148493) ^ [] : [sdtpldt0(_156484, _156486) = sdtpldt0(_156482, _156486)]], -(_156484 = _156482), aNaturalNumber0(_156486), aNaturalNumber0(_156484), aNaturalNumber0(_156482)], (266 ^ _148493) ^ [_157059] : [aNaturalNumber0(_157059), -(_157059 = sz00), 273 ^ _148493 : [(274 ^ _148493) ^ [_157321, _157323] : [aNaturalNumber0(_157323), aNaturalNumber0(_157321), 283 ^ _148493 : [(284 ^ _148493) ^ [] : [sdtasdt0(_157059, _157323) = sdtasdt0(_157059, _157321)], (286 ^ _148493) ^ [] : [sdtasdt0(_157323, _157059) = sdtasdt0(_157321, _157059)]], -(_157323 = _157321)]]], (290 ^ _148493) ^ [_157832, _157834] : [aNaturalNumber0(_157834), aNaturalNumber0(_157832), sdtpldt0(_157834, _157832) = sz00, 301 ^ _148493 : [(302 ^ _148493) ^ [] : [-(_157834 = sz00)], (304 ^ _148493) ^ [] : [-(_157832 = sz00)]]], (306 ^ _148493) ^ [_158299, _158301] : [aNaturalNumber0(_158301), aNaturalNumber0(_158299), sdtasdt0(_158301, _158299) = sz00, -(_158301 = sz00), -(_158299 = sz00)], (324 ^ _148493) ^ [_158781, _158783] : [aNaturalNumber0(_158783), aNaturalNumber0(_158781), 331 ^ _148493 : [(332 ^ _148493) ^ [] : [sdtlseqdt0(_158783, _158781), 336 ^ _148493 : [(337 ^ _148493) ^ [] : [-(aNaturalNumber0(335 ^ [_158781, _158783]))], (339 ^ _148493) ^ [] : [-(sdtpldt0(_158783, 335 ^ [_158781, _158783]) = _158781)]]], (341 ^ _148493) ^ [] : [-(sdtlseqdt0(_158783, _158781)), 342 ^ _148493 : [(343 ^ _148493) ^ [_159341] : [aNaturalNumber0(_159341), sdtpldt0(_158783, _159341) = _158781]]]]], (351 ^ _148493) ^ [_159624, _159626] : [aNaturalNumber0(_159626), aNaturalNumber0(_159624), sdtlseqdt0(_159626, _159624), 362 ^ _148493 : [(363 ^ _148493) ^ [_159971] : [_159971 = sdtmndt0(_159624, _159626), 366 ^ _148493 : [(367 ^ _148493) ^ [] : [-(aNaturalNumber0(_159971))], (369 ^ _148493) ^ [] : [-(sdtpldt0(_159626, _159971) = _159624)]]], (371 ^ _148493) ^ [_160230] : [-(_160230 = sdtmndt0(_159624, _159626)), aNaturalNumber0(_160230), sdtpldt0(_159626, _160230) = _159624]]], (381 ^ _148493) ^ [_160552] : [aNaturalNumber0(_160552), -(sdtlseqdt0(_160552, _160552))], (387 ^ _148493) ^ [_160754, _160756] : [aNaturalNumber0(_160756), aNaturalNumber0(_160754), -(_160756 = _160754), sdtlseqdt0(_160756, _160754), sdtlseqdt0(_160754, _160756)], (405 ^ _148493) ^ [_161243, _161245, _161247] : [aNaturalNumber0(_161247), aNaturalNumber0(_161245), aNaturalNumber0(_161243), -(sdtlseqdt0(_161247, _161243)), sdtlseqdt0(_161247, _161245), sdtlseqdt0(_161245, _161243)], (427 ^ _148493) ^ [_161829, _161831] : [aNaturalNumber0(_161831), aNaturalNumber0(_161829), -(sdtlseqdt0(_161831, _161829)), 438 ^ _148493 : [(439 ^ _148493) ^ [] : [_161829 = _161831], (441 ^ _148493) ^ [] : [-(sdtlseqdt0(_161829, _161831))]]], (443 ^ _148493) ^ [_162292, _162294] : [aNaturalNumber0(_162294), aNaturalNumber0(_162292), -(_162294 = _162292), sdtlseqdt0(_162294, _162292), 458 ^ _148493 : [(459 ^ _148493) ^ [_162736] : [aNaturalNumber0(_162736), 462 ^ _148493 : [(463 ^ _148493) ^ [] : [sdtpldt0(_162736, _162294) = sdtpldt0(_162736, _162292)], (465 ^ _148493) ^ [] : [-(sdtlseqdt0(sdtpldt0(_162736, _162294), sdtpldt0(_162736, _162292)))], (467 ^ _148493) ^ [] : [sdtpldt0(_162294, _162736) = sdtpldt0(_162292, _162736)], (469 ^ _148493) ^ [] : [-(sdtlseqdt0(sdtpldt0(_162294, _162736), sdtpldt0(_162292, _162736)))]]]]], (471 ^ _148493) ^ [_163260, _163262, _163264] : [aNaturalNumber0(_163264), aNaturalNumber0(_163262), aNaturalNumber0(_163260), 494 ^ _148493 : [(495 ^ _148493) ^ [] : [sdtasdt0(_163264, _163262) = sdtasdt0(_163264, _163260)], (497 ^ _148493) ^ [] : [-(sdtlseqdt0(sdtasdt0(_163264, _163262), sdtasdt0(_163264, _163260)))], (499 ^ _148493) ^ [] : [sdtasdt0(_163262, _163264) = sdtasdt0(_163260, _163264)], (501 ^ _148493) ^ [] : [-(sdtlseqdt0(sdtasdt0(_163262, _163264), sdtasdt0(_163260, _163264)))]], -(_163264 = sz00), -(_163262 = _163260), sdtlseqdt0(_163262, _163260)], (503 ^ _148493) ^ [_164210] : [aNaturalNumber0(_164210), -(_164210 = sz00), -(_164210 = sz10), 514 ^ _148493 : [(515 ^ _148493) ^ [] : [sz10 = _164210], (517 ^ _148493) ^ [] : [-(sdtlseqdt0(sz10, _164210))]]], (519 ^ _148493) ^ [_164658, _164660] : [aNaturalNumber0(_164660), aNaturalNumber0(_164658), -(_164660 = sz00), -(sdtlseqdt0(_164658, sdtasdt0(_164658, _164660)))], (533 ^ _148493) ^ [_165053, _165055] : [aNaturalNumber0(_165055), aNaturalNumber0(_165053), iLess0(_165055, _165053), true___, -(true___)], (551 ^ _148493) ^ [_165513, _165515] : [aNaturalNumber0(_165515), aNaturalNumber0(_165513), -(iLess0(_165515, _165513)), -(_165515 = _165513), sdtlseqdt0(_165515, _165513)], (569 ^ _148493) ^ [_165991, _165993] : [aNaturalNumber0(_165993), aNaturalNumber0(_165991), 576 ^ _148493 : [(577 ^ _148493) ^ [] : [doDivides0(_165993, _165991), 581 ^ _148493 : [(582 ^ _148493) ^ [] : [-(aNaturalNumber0(580 ^ [_165991, _165993]))], (584 ^ _148493) ^ [] : [-(_165991 = sdtasdt0(_165993, 580 ^ [_165991, _165993]))]]], (586 ^ _148493) ^ [] : [-(doDivides0(_165993, _165991)), 587 ^ _148493 : [(588 ^ _148493) ^ [_166551] : [aNaturalNumber0(_166551), _165991 = sdtasdt0(_165993, _166551)]]]]], (596 ^ _148493) ^ [_166834, _166836] : [aNaturalNumber0(_166836), aNaturalNumber0(_166834), -(_166836 = sz00), doDivides0(_166836, _166834), 611 ^ _148493 : [(612 ^ _148493) ^ [_167273] : [_167273 = sdtsldt0(_166834, _166836), 615 ^ _148493 : [(616 ^ _148493) ^ [] : [-(aNaturalNumber0(_167273))], (618 ^ _148493) ^ [] : [-(_166834 = sdtasdt0(_166836, _167273))]]], (620 ^ _148493) ^ [_167532] : [-(_167532 = sdtsldt0(_166834, _166836)), aNaturalNumber0(_167532), _166834 = sdtasdt0(_166836, _167532)]]], (630 ^ _148493) ^ [_167884, _167886, _167888] : [aNaturalNumber0(_167888), aNaturalNumber0(_167886), aNaturalNumber0(_167884), -(doDivides0(_167888, _167884)), doDivides0(_167888, _167886), doDivides0(_167886, _167884)], (652 ^ _148493) ^ [_168484, _168486, _168488] : [aNaturalNumber0(_168488), aNaturalNumber0(_168486), aNaturalNumber0(_168484), -(doDivides0(_168488, sdtpldt0(_168486, _168484))), doDivides0(_168488, _168486), doDivides0(_168488, _168484)], (674 ^ _148493) ^ [_169090, _169092, _169094] : [aNaturalNumber0(_169094), aNaturalNumber0(_169092), aNaturalNumber0(_169090), -(doDivides0(_169094, _169090)), doDivides0(_169094, _169092), doDivides0(_169094, sdtpldt0(_169092, _169090))], (696 ^ _148493) ^ [_169682, _169684] : [aNaturalNumber0(_169684), aNaturalNumber0(_169682), -(sdtlseqdt0(_169684, _169682)), doDivides0(_169684, _169682), -(_169682 = sz00)], (714 ^ _148493) ^ [_170160, _170162] : [aNaturalNumber0(_170162), aNaturalNumber0(_170160), -(_170162 = sz00), doDivides0(_170162, _170160), 729 ^ _148493 : [(730 ^ _148493) ^ [_170570] : [aNaturalNumber0(_170570), -(sdtasdt0(_170570, sdtsldt0(_170160, _170162)) = sdtsldt0(sdtasdt0(_170570, _170160), _170162))]]], (736 ^ _148493) ^ [_170811] : [aNaturalNumber0(_170811), 739 ^ _148493 : [(762 ^ _148493) ^ [] : [-(isPrime0(_170811)), -(_170811 = sz00), -(_170811 = sz10), 772 ^ _148493 : [(773 ^ _148493) ^ [] : [-(aNaturalNumber0(771 ^ [_170811]))], (775 ^ _148493) ^ [] : [-(doDivides0(771 ^ [_170811], _170811))], (777 ^ _148493) ^ [] : [771 ^ [_170811] = sz10], (779 ^ _148493) ^ [] : [771 ^ [_170811] = _170811]]], (740 ^ _148493) ^ [] : [isPrime0(_170811), 743 ^ _148493 : [(744 ^ _148493) ^ [] : [_170811 = sz00], (746 ^ _148493) ^ [] : [_170811 = sz10], (748 ^ _148493) ^ [_171203] : [aNaturalNumber0(_171203), doDivides0(_171203, _170811), -(_171203 = sz10), -(_171203 = _170811)]]]]], (783 ^ _148493) ^ [_172155] : [795 ^ _148493 : [(796 ^ _148493) ^ [] : [-(aNaturalNumber0(794 ^ [_172155]))], (798 ^ _148493) ^ [] : [-(doDivides0(794 ^ [_172155], _172155))], (800 ^ _148493) ^ [] : [-(isPrime0(794 ^ [_172155]))]], aNaturalNumber0(_172155), -(_172155 = sz00), -(_172155 = sz10)], (802 ^ _148493) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _148493) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _148493) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _148493) ^ [_172922, _172924, _172926] : [aNaturalNumber0(_172926), aNaturalNumber0(_172924), aNaturalNumber0(_172922), iLess0(sdtpldt0(sdtpldt0(_172926, _172924), _172922), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _148493 : [(863 ^ _148493) ^ [] : [-(aNaturalNumber0(861 ^ [_172922, _172924, _172926]))], (865 ^ _148493) ^ [] : [-(_172926 = sdtasdt0(_172922, 861 ^ [_172922, _172924, _172926]))], (867 ^ _148493) ^ [] : [-(doDivides0(_172922, _172926))]], 869 ^ _148493 : [(870 ^ _148493) ^ [] : [-(aNaturalNumber0(868 ^ [_172922, _172924, _172926]))], (872 ^ _148493) ^ [] : [-(_172924 = sdtasdt0(_172922, 868 ^ [_172922, _172924, _172926]))], (874 ^ _148493) ^ [] : [-(doDivides0(_172922, _172924))]], 847 ^ _148493 : [(854 ^ _148493) ^ [] : [doDivides0(_172922, sdtasdt0(_172926, _172924))], (848 ^ _148493) ^ [_174343] : [aNaturalNumber0(_174343), sdtasdt0(_172926, _172924) = sdtasdt0(_172922, _174343)]], 823 ^ _148493 : [(846 ^ _148493) ^ [] : [isPrime0(_172922)], (824 ^ _148493) ^ [] : [-(_172922 = sz00), -(_172922 = sz10), 832 ^ _148493 : [(833 ^ _148493) ^ [] : [-(aNaturalNumber0(831 ^ [_172922, _172924, _172926]))], (836 ^ _148493) ^ [] : [-(aNaturalNumber0(834 ^ [_172922, _172924, _172926]))], (838 ^ _148493) ^ [] : [-(_172922 = sdtasdt0(831 ^ [_172922, _172924, _172926], 834 ^ [_172922, _172924, _172926]))], (840 ^ _148493) ^ [] : [-(doDivides0(831 ^ [_172922, _172924, _172926], _172922))], (842 ^ _148493) ^ [] : [831 ^ [_172922, _172924, _172926] = sz10], (844 ^ _148493) ^ [] : [831 ^ [_172922, _172924, _172926] = _172922]]]]], (876 ^ _148493) ^ [] : [xp = sz00], (878 ^ _148493) ^ [] : [xp = sz10], (900 ^ _148493) ^ [] : [-(isPrime0(xp))], (903 ^ _148493) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _148493) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _148493) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _148493) ^ [_175433] : [-(_175433 = sz10), -(_175433 = xp), aNaturalNumber0(_175433), 885 ^ _148493 : [(892 ^ _148493) ^ [] : [doDivides0(_175433, xp)], (886 ^ _148493) ^ [_175636] : [aNaturalNumber0(_175636), xp = sdtasdt0(_175433, _175636)]]], (915 ^ _148493) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _148493) ^ [_176294] : [aNaturalNumber0(_176294), sdtpldt0(xp, _176294) = xn], (923 ^ _148493) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _148493) ^ [_176541] : [aNaturalNumber0(_176541), sdtpldt0(xp, _176541) = xm], (925 ^ _148493) ^ [] : [xn = xp], (928 ^ _148493) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _148493) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _148493) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _148493) ^ [] : [xm = xp], (937 ^ _148493) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _148493) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _148493) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _148493) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _148493) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _148493) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _148493) ^ [] : [xk = sz00], (951 ^ _148493) ^ [] : [xk = sz10], (953 ^ _148493) ^ [] : [xk = sz00], (955 ^ _148493) ^ [] : [xk = sz10], (993 ^ _148493) ^ [] : [-(aNaturalNumber0(991 ^ []))], (995 ^ _148493) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (998 ^ _148493) ^ [] : [-(aNaturalNumber0(996 ^ []))], (1000 ^ _148493) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1002 ^ _148493) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (1004 ^ _148493) ^ [] : [xk = xp], (1007 ^ _148493) ^ [] : [-(aNaturalNumber0(1005 ^ []))], (1009 ^ _148493) ^ [] : [-(sdtpldt0(xk, 1005 ^ []) = xp)], (1011 ^ _148493) ^ [] : [-(sdtlseqdt0(xk, xp))], (1030 ^ _148493) ^ [] : [-(aNaturalNumber0(1028 ^ []))], (1032 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, 1028 ^ []))], (1034 ^ _148493) ^ [] : [-(doDivides0(xr, xn))], (1036 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1038 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1040 ^ _148493) ^ [] : [sdtsldt0(xn, xr) = xn], (1042 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1044 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1047 ^ _148493) ^ [] : [-(aNaturalNumber0(1045 ^ []))], (1049 ^ _148493) ^ [] : [-(sdtpldt0(sdtsldt0(xn, xr), 1045 ^ []) = xn)], (1051 ^ _148493) ^ [] : [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], (1053 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1055 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1057 ^ _148493) ^ [] : [-(sdtasdt0(sdtasdt0(sdtsldt0(xn, xr), xm), xr) = sdtasdt0(xn, xm))], (1059 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(sdtasdt0(xp, xk), xr)))], (1061 ^ _148493) ^ [] : [-(sdtasdt0(xp, xk) = sdtasdt0(xr, sdtsldt0(sdtasdt0(xp, xk), xr)))], (1063 ^ _148493) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp, xk), xr), xr))], (1065 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xk, xr)))], (1067 ^ _148493) ^ [] : [-(xk = sdtasdt0(xr, sdtsldt0(xk, xr)))], (1069 ^ _148493) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (1071 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1073 ^ _148493) ^ [] : [-(sdtasdt0(xp, sdtsldt0(xk, xr)) = sdtasdt0(sdtsldt0(xn, xr), xm))], (1013 ^ _148493) ^ [] : [1015 ^ _148493 : [(1016 ^ _148493) ^ [] : [-(aNaturalNumber0(1014 ^ []))], (1018 ^ _148493) ^ [] : [-(xn = sdtasdt0(xr, 1014 ^ []))], (1020 ^ _148493) ^ [] : [-(doDivides0(xr, xn))]], 1022 ^ _148493 : [(1023 ^ _148493) ^ [] : [-(aNaturalNumber0(1021 ^ []))], (1025 ^ _148493) ^ [] : [-(xm = sdtasdt0(xr, 1021 ^ []))], (1027 ^ _148493) ^ [] : [-(doDivides0(xr, xm))]]], (957 ^ _148493) ^ [] : [-(aNaturalNumber0(xr))], (960 ^ _148493) ^ [] : [-(aNaturalNumber0(958 ^ []))], (962 ^ _148493) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (964 ^ _148493) ^ [] : [-(doDivides0(xr, xk))], (966 ^ _148493) ^ [] : [xr = sz00], (968 ^ _148493) ^ [] : [xr = sz10], (990 ^ _148493) ^ [] : [-(isPrime0(xr))], (970 ^ _148493) ^ [_178056] : [-(_178056 = sz10), -(_178056 = xr), aNaturalNumber0(_178056), 975 ^ _148493 : [(982 ^ _148493) ^ [] : [doDivides0(_178056, xr)], (976 ^ _148493) ^ [_178259] : [aNaturalNumber0(_178259), xr = sdtasdt0(_178056, _178259)]]]], input).
% 107.51/104.71 ncf('1',plain,[doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm))],start(1085 ^ 0)).
% 107.51/104.71 ncf('1.1',plain,[-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm))), 588 : aNaturalNumber0(sdtsldt0(xk, xr)), 588 : sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, sdtsldt0(xk, xr)), 586 : aNaturalNumber0(xp), 586 : aNaturalNumber0(sdtasdt0(sdtsldt0(xn, xr), xm))],extension(569 ^ 1,bind([[_165991, _165993, _166551], [sdtasdt0(sdtsldt0(xn, xr), xm), xp, sdtsldt0(xk, xr)]]))).
% 107.51/104.71 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtsldt0(xk, xr)))],extension(1065 ^ 6)).
% 107.51/104.71 ncf('1.1.2',plain,[-(sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, sdtsldt0(xk, xr))), sdtasdt0(xp, sdtsldt0(xk, xr)) = sdtasdt0(sdtsldt0(xn, xr), xm)],extension(4 ^ 6,bind([[_148744, _148746], [sdtasdt0(sdtsldt0(xn, xr), xm), sdtasdt0(xp, sdtsldt0(xk, xr))]]))).
% 107.51/104.71 ncf('1.1.2.1',plain,[-(sdtasdt0(xp, sdtsldt0(xk, xr)) = sdtasdt0(sdtsldt0(xn, xr), xm))],extension(1073 ^ 7)).
% 107.51/104.71 ncf('1.1.3',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 107.51/104.71 ncf('1.1.4',plain,[-(aNaturalNumber0(sdtasdt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(148 ^ 2,bind([[_153321, _153323], [xm, sdtsldt0(xn, xr)]]))).
% 107.51/104.71 ncf('1.1.4.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1075 ^ 3)).
% 107.51/104.71 ncf('1.1.4.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 107.51/104.71 %-----------------------------------------------------
% 107.51/104.71 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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