TSTP Solution File: NUM508+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM508+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 11:44:49 EDT 2023
% Result : Theorem 8.11s 8.62s
% Output : Proof 8.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM508+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 16:58:09 EDT 2023
% 0.13/0.33 % CPUTime :
% 8.11/8.62
% 8.11/8.62 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 8.11/8.62 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.11/8.62 %-----------------------------------------------------
% 8.11/8.62 ncf(matrix, plain, [(1022 ^ _143173) ^ [_174622] : [aNaturalNumber0(_174622), xn = sdtasdt0(xr, _174622)], (1028 ^ _143173) ^ [] : [doDivides0(xr, xn)], (1036 ^ _143173) ^ [] : [doDivides0(xr, xm)], (1030 ^ _143173) ^ [_174867] : [aNaturalNumber0(_174867), xm = sdtasdt0(xr, _174867)], (82 ^ _143173) ^ [_145885, _145887, _145889, _145891] : [-(sdtmndt0(_145891, _145887) = sdtmndt0(_145889, _145885)), _145891 = _145889, _145887 = _145885], (92 ^ _143173) ^ [_146244, _146246, _146248, _146250] : [-(sdtsldt0(_146250, _146246) = sdtsldt0(_146248, _146244)), _146250 = _146248, _146246 = _146244], (102 ^ _143173) ^ [_146603, _146605, _146607, _146609] : [-(sdtpldt0(_146609, _146605) = sdtpldt0(_146607, _146603)), _146609 = _146607, _146605 = _146603], (112 ^ _143173) ^ [_146942, _146944, _146946, _146948] : [-(sdtasdt0(_146948, _146944) = sdtasdt0(_146946, _146942)), _146948 = _146946, _146944 = _146942], (2 ^ _143173) ^ [_143317] : [-(_143317 = _143317)], (4 ^ _143173) ^ [_143424, _143426] : [_143426 = _143424, -(_143424 = _143426)], (10 ^ _143173) ^ [_143628, _143630, _143632] : [-(_143632 = _143628), _143632 = _143630, _143630 = _143628], (20 ^ _143173) ^ [_143969, _143971, _143973, _143975] : [-(iLess0(_143973, _143969)), iLess0(_143975, _143971), _143975 = _143973, _143971 = _143969], (34 ^ _143173) ^ [_144385, _144387] : [-(isPrime0(_144385)), _144387 = _144385, isPrime0(_144387)], (44 ^ _143173) ^ [_144708, _144710, _144712, _144714] : [-(sdtlseqdt0(_144712, _144708)), sdtlseqdt0(_144714, _144710), _144714 = _144712, _144710 = _144708], (58 ^ _143173) ^ [_145124, _145126] : [-(aNaturalNumber0(_145124)), _145126 = _145124, aNaturalNumber0(_145126)], (68 ^ _143173) ^ [_145427, _145429, _145431, _145433] : [-(doDivides0(_145431, _145427)), doDivides0(_145433, _145429), _145433 = _145431, _145429 = _145427], (122 ^ _143173) ^ [_147273] : [aNaturalNumber0(_147273), true___, -(true___)], (132 ^ _143173) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _143173) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _143173) ^ [] : [sz10 = sz00], (138 ^ _143173) ^ [_147702, _147704] : [-(aNaturalNumber0(sdtpldt0(_147704, _147702))), aNaturalNumber0(_147704), aNaturalNumber0(_147702)], (148 ^ _143173) ^ [_148001, _148003] : [-(aNaturalNumber0(sdtasdt0(_148003, _148001))), aNaturalNumber0(_148003), aNaturalNumber0(_148001)], (158 ^ _143173) ^ [_148300, _148302] : [-(sdtpldt0(_148302, _148300) = sdtpldt0(_148300, _148302)), aNaturalNumber0(_148302), aNaturalNumber0(_148300)], (168 ^ _143173) ^ [_148621, _148623, _148625] : [-(sdtpldt0(sdtpldt0(_148625, _148623), _148621) = sdtpldt0(_148625, sdtpldt0(_148623, _148621))), aNaturalNumber0(_148625), aNaturalNumber0(_148623), aNaturalNumber0(_148621)], (182 ^ _143173) ^ [_149027] : [aNaturalNumber0(_149027), 185 ^ _143173 : [(186 ^ _143173) ^ [] : [-(sdtpldt0(_149027, sz00) = _149027)], (188 ^ _143173) ^ [] : [-(_149027 = sdtpldt0(sz00, _149027))]]], (190 ^ _143173) ^ [_149314, _149316] : [-(sdtasdt0(_149316, _149314) = sdtasdt0(_149314, _149316)), aNaturalNumber0(_149316), aNaturalNumber0(_149314)], (200 ^ _143173) ^ [_149635, _149637, _149639] : [-(sdtasdt0(sdtasdt0(_149639, _149637), _149635) = sdtasdt0(_149639, sdtasdt0(_149637, _149635))), aNaturalNumber0(_149639), aNaturalNumber0(_149637), aNaturalNumber0(_149635)], (214 ^ _143173) ^ [_150041] : [aNaturalNumber0(_150041), 217 ^ _143173 : [(218 ^ _143173) ^ [] : [-(sdtasdt0(_150041, sz10) = _150041)], (220 ^ _143173) ^ [] : [-(_150041 = sdtasdt0(sz10, _150041))]]], (222 ^ _143173) ^ [_150314] : [aNaturalNumber0(_150314), 225 ^ _143173 : [(226 ^ _143173) ^ [] : [-(sdtasdt0(_150314, sz00) = sz00)], (228 ^ _143173) ^ [] : [-(sz00 = sdtasdt0(sz00, _150314))]]], (230 ^ _143173) ^ [_150615, _150617, _150619] : [241 ^ _143173 : [(242 ^ _143173) ^ [] : [-(sdtasdt0(_150619, sdtpldt0(_150617, _150615)) = sdtpldt0(sdtasdt0(_150619, _150617), sdtasdt0(_150619, _150615)))], (244 ^ _143173) ^ [] : [-(sdtasdt0(sdtpldt0(_150617, _150615), _150619) = sdtpldt0(sdtasdt0(_150617, _150619), sdtasdt0(_150615, _150619)))]], aNaturalNumber0(_150619), aNaturalNumber0(_150617), aNaturalNumber0(_150615)], (246 ^ _143173) ^ [_151162, _151164, _151166] : [259 ^ _143173 : [(260 ^ _143173) ^ [] : [sdtpldt0(_151166, _151164) = sdtpldt0(_151166, _151162)], (262 ^ _143173) ^ [] : [sdtpldt0(_151164, _151166) = sdtpldt0(_151162, _151166)]], -(_151164 = _151162), aNaturalNumber0(_151166), aNaturalNumber0(_151164), aNaturalNumber0(_151162)], (266 ^ _143173) ^ [_151739] : [aNaturalNumber0(_151739), -(_151739 = sz00), 273 ^ _143173 : [(274 ^ _143173) ^ [_152001, _152003] : [aNaturalNumber0(_152003), aNaturalNumber0(_152001), 283 ^ _143173 : [(284 ^ _143173) ^ [] : [sdtasdt0(_151739, _152003) = sdtasdt0(_151739, _152001)], (286 ^ _143173) ^ [] : [sdtasdt0(_152003, _151739) = sdtasdt0(_152001, _151739)]], -(_152003 = _152001)]]], (290 ^ _143173) ^ [_152512, _152514] : [aNaturalNumber0(_152514), aNaturalNumber0(_152512), sdtpldt0(_152514, _152512) = sz00, 301 ^ _143173 : [(302 ^ _143173) ^ [] : [-(_152514 = sz00)], (304 ^ _143173) ^ [] : [-(_152512 = sz00)]]], (306 ^ _143173) ^ [_152979, _152981] : [aNaturalNumber0(_152981), aNaturalNumber0(_152979), sdtasdt0(_152981, _152979) = sz00, -(_152981 = sz00), -(_152979 = sz00)], (324 ^ _143173) ^ [_153461, _153463] : [aNaturalNumber0(_153463), aNaturalNumber0(_153461), 331 ^ _143173 : [(332 ^ _143173) ^ [] : [sdtlseqdt0(_153463, _153461), 336 ^ _143173 : [(337 ^ _143173) ^ [] : [-(aNaturalNumber0(335 ^ [_153461, _153463]))], (339 ^ _143173) ^ [] : [-(sdtpldt0(_153463, 335 ^ [_153461, _153463]) = _153461)]]], (341 ^ _143173) ^ [] : [-(sdtlseqdt0(_153463, _153461)), 342 ^ _143173 : [(343 ^ _143173) ^ [_154021] : [aNaturalNumber0(_154021), sdtpldt0(_153463, _154021) = _153461]]]]], (351 ^ _143173) ^ [_154304, _154306] : [aNaturalNumber0(_154306), aNaturalNumber0(_154304), sdtlseqdt0(_154306, _154304), 362 ^ _143173 : [(363 ^ _143173) ^ [_154651] : [_154651 = sdtmndt0(_154304, _154306), 366 ^ _143173 : [(367 ^ _143173) ^ [] : [-(aNaturalNumber0(_154651))], (369 ^ _143173) ^ [] : [-(sdtpldt0(_154306, _154651) = _154304)]]], (371 ^ _143173) ^ [_154910] : [-(_154910 = sdtmndt0(_154304, _154306)), aNaturalNumber0(_154910), sdtpldt0(_154306, _154910) = _154304]]], (381 ^ _143173) ^ [_155232] : [aNaturalNumber0(_155232), -(sdtlseqdt0(_155232, _155232))], (387 ^ _143173) ^ [_155434, _155436] : [aNaturalNumber0(_155436), aNaturalNumber0(_155434), -(_155436 = _155434), sdtlseqdt0(_155436, _155434), sdtlseqdt0(_155434, _155436)], (405 ^ _143173) ^ [_155923, _155925, _155927] : [aNaturalNumber0(_155927), aNaturalNumber0(_155925), aNaturalNumber0(_155923), -(sdtlseqdt0(_155927, _155923)), sdtlseqdt0(_155927, _155925), sdtlseqdt0(_155925, _155923)], (427 ^ _143173) ^ [_156509, _156511] : [aNaturalNumber0(_156511), aNaturalNumber0(_156509), -(sdtlseqdt0(_156511, _156509)), 438 ^ _143173 : [(439 ^ _143173) ^ [] : [_156509 = _156511], (441 ^ _143173) ^ [] : [-(sdtlseqdt0(_156509, _156511))]]], (443 ^ _143173) ^ [_156972, _156974] : [aNaturalNumber0(_156974), aNaturalNumber0(_156972), -(_156974 = _156972), sdtlseqdt0(_156974, _156972), 458 ^ _143173 : [(459 ^ _143173) ^ [_157416] : [aNaturalNumber0(_157416), 462 ^ _143173 : [(463 ^ _143173) ^ [] : [sdtpldt0(_157416, _156974) = sdtpldt0(_157416, _156972)], (465 ^ _143173) ^ [] : [-(sdtlseqdt0(sdtpldt0(_157416, _156974), sdtpldt0(_157416, _156972)))], (467 ^ _143173) ^ [] : [sdtpldt0(_156974, _157416) = sdtpldt0(_156972, _157416)], (469 ^ _143173) ^ [] : [-(sdtlseqdt0(sdtpldt0(_156974, _157416), sdtpldt0(_156972, _157416)))]]]]], (471 ^ _143173) ^ [_157940, _157942, _157944] : [aNaturalNumber0(_157944), aNaturalNumber0(_157942), aNaturalNumber0(_157940), 494 ^ _143173 : [(495 ^ _143173) ^ [] : [sdtasdt0(_157944, _157942) = sdtasdt0(_157944, _157940)], (497 ^ _143173) ^ [] : [-(sdtlseqdt0(sdtasdt0(_157944, _157942), sdtasdt0(_157944, _157940)))], (499 ^ _143173) ^ [] : [sdtasdt0(_157942, _157944) = sdtasdt0(_157940, _157944)], (501 ^ _143173) ^ [] : [-(sdtlseqdt0(sdtasdt0(_157942, _157944), sdtasdt0(_157940, _157944)))]], -(_157944 = sz00), -(_157942 = _157940), sdtlseqdt0(_157942, _157940)], (503 ^ _143173) ^ [_158890] : [aNaturalNumber0(_158890), -(_158890 = sz00), -(_158890 = sz10), 514 ^ _143173 : [(515 ^ _143173) ^ [] : [sz10 = _158890], (517 ^ _143173) ^ [] : [-(sdtlseqdt0(sz10, _158890))]]], (519 ^ _143173) ^ [_159338, _159340] : [aNaturalNumber0(_159340), aNaturalNumber0(_159338), -(_159340 = sz00), -(sdtlseqdt0(_159338, sdtasdt0(_159338, _159340)))], (533 ^ _143173) ^ [_159733, _159735] : [aNaturalNumber0(_159735), aNaturalNumber0(_159733), iLess0(_159735, _159733), true___, -(true___)], (551 ^ _143173) ^ [_160193, _160195] : [aNaturalNumber0(_160195), aNaturalNumber0(_160193), -(iLess0(_160195, _160193)), -(_160195 = _160193), sdtlseqdt0(_160195, _160193)], (569 ^ _143173) ^ [_160671, _160673] : [aNaturalNumber0(_160673), aNaturalNumber0(_160671), 576 ^ _143173 : [(577 ^ _143173) ^ [] : [doDivides0(_160673, _160671), 581 ^ _143173 : [(582 ^ _143173) ^ [] : [-(aNaturalNumber0(580 ^ [_160671, _160673]))], (584 ^ _143173) ^ [] : [-(_160671 = sdtasdt0(_160673, 580 ^ [_160671, _160673]))]]], (586 ^ _143173) ^ [] : [-(doDivides0(_160673, _160671)), 587 ^ _143173 : [(588 ^ _143173) ^ [_161231] : [aNaturalNumber0(_161231), _160671 = sdtasdt0(_160673, _161231)]]]]], (596 ^ _143173) ^ [_161514, _161516] : [aNaturalNumber0(_161516), aNaturalNumber0(_161514), -(_161516 = sz00), doDivides0(_161516, _161514), 611 ^ _143173 : [(612 ^ _143173) ^ [_161953] : [_161953 = sdtsldt0(_161514, _161516), 615 ^ _143173 : [(616 ^ _143173) ^ [] : [-(aNaturalNumber0(_161953))], (618 ^ _143173) ^ [] : [-(_161514 = sdtasdt0(_161516, _161953))]]], (620 ^ _143173) ^ [_162212] : [-(_162212 = sdtsldt0(_161514, _161516)), aNaturalNumber0(_162212), _161514 = sdtasdt0(_161516, _162212)]]], (630 ^ _143173) ^ [_162564, _162566, _162568] : [aNaturalNumber0(_162568), aNaturalNumber0(_162566), aNaturalNumber0(_162564), -(doDivides0(_162568, _162564)), doDivides0(_162568, _162566), doDivides0(_162566, _162564)], (652 ^ _143173) ^ [_163164, _163166, _163168] : [aNaturalNumber0(_163168), aNaturalNumber0(_163166), aNaturalNumber0(_163164), -(doDivides0(_163168, sdtpldt0(_163166, _163164))), doDivides0(_163168, _163166), doDivides0(_163168, _163164)], (674 ^ _143173) ^ [_163770, _163772, _163774] : [aNaturalNumber0(_163774), aNaturalNumber0(_163772), aNaturalNumber0(_163770), -(doDivides0(_163774, _163770)), doDivides0(_163774, _163772), doDivides0(_163774, sdtpldt0(_163772, _163770))], (696 ^ _143173) ^ [_164362, _164364] : [aNaturalNumber0(_164364), aNaturalNumber0(_164362), -(sdtlseqdt0(_164364, _164362)), doDivides0(_164364, _164362), -(_164362 = sz00)], (714 ^ _143173) ^ [_164840, _164842] : [aNaturalNumber0(_164842), aNaturalNumber0(_164840), -(_164842 = sz00), doDivides0(_164842, _164840), 729 ^ _143173 : [(730 ^ _143173) ^ [_165250] : [aNaturalNumber0(_165250), -(sdtasdt0(_165250, sdtsldt0(_164840, _164842)) = sdtsldt0(sdtasdt0(_165250, _164840), _164842))]]], (736 ^ _143173) ^ [_165491] : [aNaturalNumber0(_165491), 739 ^ _143173 : [(762 ^ _143173) ^ [] : [-(isPrime0(_165491)), -(_165491 = sz00), -(_165491 = sz10), 772 ^ _143173 : [(773 ^ _143173) ^ [] : [-(aNaturalNumber0(771 ^ [_165491]))], (775 ^ _143173) ^ [] : [-(doDivides0(771 ^ [_165491], _165491))], (777 ^ _143173) ^ [] : [771 ^ [_165491] = sz10], (779 ^ _143173) ^ [] : [771 ^ [_165491] = _165491]]], (740 ^ _143173) ^ [] : [isPrime0(_165491), 743 ^ _143173 : [(744 ^ _143173) ^ [] : [_165491 = sz00], (746 ^ _143173) ^ [] : [_165491 = sz10], (748 ^ _143173) ^ [_165883] : [aNaturalNumber0(_165883), doDivides0(_165883, _165491), -(_165883 = sz10), -(_165883 = _165491)]]]]], (783 ^ _143173) ^ [_166835] : [795 ^ _143173 : [(796 ^ _143173) ^ [] : [-(aNaturalNumber0(794 ^ [_166835]))], (798 ^ _143173) ^ [] : [-(doDivides0(794 ^ [_166835], _166835))], (800 ^ _143173) ^ [] : [-(isPrime0(794 ^ [_166835]))]], aNaturalNumber0(_166835), -(_166835 = sz00), -(_166835 = sz10)], (802 ^ _143173) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _143173) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _143173) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _143173) ^ [_167602, _167604, _167606] : [aNaturalNumber0(_167606), aNaturalNumber0(_167604), aNaturalNumber0(_167602), iLess0(sdtpldt0(sdtpldt0(_167606, _167604), _167602), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _143173 : [(863 ^ _143173) ^ [] : [-(aNaturalNumber0(861 ^ [_167602, _167604, _167606]))], (865 ^ _143173) ^ [] : [-(_167606 = sdtasdt0(_167602, 861 ^ [_167602, _167604, _167606]))], (867 ^ _143173) ^ [] : [-(doDivides0(_167602, _167606))]], 869 ^ _143173 : [(870 ^ _143173) ^ [] : [-(aNaturalNumber0(868 ^ [_167602, _167604, _167606]))], (872 ^ _143173) ^ [] : [-(_167604 = sdtasdt0(_167602, 868 ^ [_167602, _167604, _167606]))], (874 ^ _143173) ^ [] : [-(doDivides0(_167602, _167604))]], 847 ^ _143173 : [(854 ^ _143173) ^ [] : [doDivides0(_167602, sdtasdt0(_167606, _167604))], (848 ^ _143173) ^ [_169023] : [aNaturalNumber0(_169023), sdtasdt0(_167606, _167604) = sdtasdt0(_167602, _169023)]], 823 ^ _143173 : [(846 ^ _143173) ^ [] : [isPrime0(_167602)], (824 ^ _143173) ^ [] : [-(_167602 = sz00), -(_167602 = sz10), 832 ^ _143173 : [(833 ^ _143173) ^ [] : [-(aNaturalNumber0(831 ^ [_167602, _167604, _167606]))], (836 ^ _143173) ^ [] : [-(aNaturalNumber0(834 ^ [_167602, _167604, _167606]))], (838 ^ _143173) ^ [] : [-(_167602 = sdtasdt0(831 ^ [_167602, _167604, _167606], 834 ^ [_167602, _167604, _167606]))], (840 ^ _143173) ^ [] : [-(doDivides0(831 ^ [_167602, _167604, _167606], _167602))], (842 ^ _143173) ^ [] : [831 ^ [_167602, _167604, _167606] = sz10], (844 ^ _143173) ^ [] : [831 ^ [_167602, _167604, _167606] = _167602]]]]], (876 ^ _143173) ^ [] : [xp = sz00], (878 ^ _143173) ^ [] : [xp = sz10], (900 ^ _143173) ^ [] : [-(isPrime0(xp))], (903 ^ _143173) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _143173) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _143173) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _143173) ^ [_170113] : [-(_170113 = sz10), -(_170113 = xp), aNaturalNumber0(_170113), 885 ^ _143173 : [(892 ^ _143173) ^ [] : [doDivides0(_170113, xp)], (886 ^ _143173) ^ [_170316] : [aNaturalNumber0(_170316), xp = sdtasdt0(_170113, _170316)]]], (915 ^ _143173) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _143173) ^ [_170974] : [aNaturalNumber0(_170974), sdtpldt0(xp, _170974) = xn], (923 ^ _143173) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _143173) ^ [_171221] : [aNaturalNumber0(_171221), sdtpldt0(xp, _171221) = xm], (925 ^ _143173) ^ [] : [xn = xp], (928 ^ _143173) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _143173) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _143173) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _143173) ^ [] : [xm = xp], (937 ^ _143173) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _143173) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _143173) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _143173) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _143173) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _143173) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _143173) ^ [] : [xk = sz00], (951 ^ _143173) ^ [] : [xk = sz10], (953 ^ _143173) ^ [] : [xk = sz00], (955 ^ _143173) ^ [] : [xk = sz10], (993 ^ _143173) ^ [] : [-(aNaturalNumber0(991 ^ []))], (995 ^ _143173) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (998 ^ _143173) ^ [] : [-(aNaturalNumber0(996 ^ []))], (1000 ^ _143173) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1002 ^ _143173) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (1004 ^ _143173) ^ [] : [xk = xp], (1007 ^ _143173) ^ [] : [-(aNaturalNumber0(1005 ^ []))], (1009 ^ _143173) ^ [] : [-(sdtpldt0(xk, 1005 ^ []) = xp)], (1011 ^ _143173) ^ [] : [-(sdtlseqdt0(xk, xp))], (1013 ^ _143173) ^ [] : [sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)], (1016 ^ _143173) ^ [] : [-(aNaturalNumber0(1014 ^ []))], (1018 ^ _143173) ^ [] : [-(sdtpldt0(sdtpldt0(sdtpldt0(xn, xm), xr), 1014 ^ []) = sdtpldt0(sdtpldt0(xn, xm), xp))], (1020 ^ _143173) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))], (957 ^ _143173) ^ [] : [-(aNaturalNumber0(xr))], (960 ^ _143173) ^ [] : [-(aNaturalNumber0(958 ^ []))], (962 ^ _143173) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (964 ^ _143173) ^ [] : [-(doDivides0(xr, xk))], (966 ^ _143173) ^ [] : [xr = sz00], (968 ^ _143173) ^ [] : [xr = sz10], (990 ^ _143173) ^ [] : [-(isPrime0(xr))], (970 ^ _143173) ^ [_172736] : [-(_172736 = sz10), -(_172736 = xr), aNaturalNumber0(_172736), 975 ^ _143173 : [(982 ^ _143173) ^ [] : [doDivides0(_172736, xr)], (976 ^ _143173) ^ [_172939] : [aNaturalNumber0(_172939), xr = sdtasdt0(_172736, _172939)]]]], input).
% 8.11/8.62 ncf('1',plain,[sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(1013 ^ 0)).
% 8.11/8.62 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(551 ^ 1,bind([[_160193, _160195], [sdtpldt0(sdtpldt0(xn, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xr)]]))).
% 8.11/8.62 ncf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xr)],extension(138 ^ 2,bind([[_147702, _147704], [xr, sdtpldt0(xn, xm)]]))).
% 8.11/8.62 ncf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_147702, _147704], [xm, xn]]))).
% 8.11/8.62 ncf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.11/8.62 ncf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.11/8.62 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xr))],extension(957 ^ 3)).
% 8.11/8.62 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(138 ^ 2,bind([[_147702, _147704], [xp, sdtpldt0(xn, xm)]]))).
% 8.11/8.62 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 3,bind([[_147702, _147704], [xm, xn]]))).
% 8.11/8.62 ncf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 8.11/8.62 ncf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 8.11/8.62 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 8.11/8.62 ncf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xn), aNaturalNumber0(xm), aNaturalNumber0(xr), 867 : -(doDivides0(xr, xn)), 874 : -(doDivides0(xr, xm)), 854 : doDivides0(xr, sdtasdt0(xn, xm)), 846 : isPrime0(xr)],extension(808 ^ 2,bind([[_167602, _167604, _167606], [xr, xm, xn]]))).
% 8.11/8.62 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 8.11/8.62 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 3)).
% 8.11/8.62 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xr))],extension(957 ^ 3)).
% 8.11/8.62 ncf('1.1.3.4',plain,[doDivides0(xr, xn)],extension(1028 ^ 5)).
% 8.11/8.62 ncf('1.1.3.5',plain,[doDivides0(xr, xm)],extension(1036 ^ 5)).
% 8.11/8.62 ncf('1.1.3.6',plain,[-(doDivides0(xr, sdtasdt0(xn, xm)))],extension(1002 ^ 5)).
% 8.11/8.62 ncf('1.1.3.7',plain,[-(isPrime0(xr))],extension(990 ^ 5)).
% 8.11/8.62 ncf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(1020 ^ 2)).
% 8.11/8.62 %-----------------------------------------------------
% 8.11/8.62 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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