%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV064+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 12:19:52 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV064+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 : Fri May 19 02:45:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(1055 ^ _200578) ^ [] : [-(leq(n0, pv10))], (1057 ^ _200578) ^ [] : [-(leq(n0, pv53))], (1059 ^ _200578) ^ [] : [-(leq(n0, pv54))], (1061 ^ _200578) ^ [] : [-(leq(pv10, minus(n135300, n1)))], (1063 ^ _200578) ^ [] : [-(leq(pv53, minus(n5, n1)))], (1065 ^ _200578) ^ [] : [-(leq(pv54, minus(n5, n1)))], (1067 ^ _200578) ^ [] : [leq(n0, n0), leq(n0, pv10), leq(n0, pv53), leq(n0, pv54), leq(pv10, minus(n135300, n1)), leq(pv53, minus(n5, n1)), leq(pv54, minus(n5, n1))], (2 ^ _200578) ^ [_200722] : [-(_200722 = _200722)], (4 ^ _200578) ^ [_200829, _200831] : [_200831 = _200829, -(_200829 = _200831)], (10 ^ _200578) ^ [_201033, _201035, _201037] : [-(_201037 = _201033), _201037 = _201035, _201035 = _201033], (20 ^ _200578) ^ [_201374, _201376, _201378, _201380] : [-(lt(_201378, _201374)), lt(_201380, _201376), _201380 = _201378, _201376 = _201374], (34 ^ _200578) ^ [_201818, _201820, _201822, _201824] : [-(geq(_201822, _201818)), geq(_201824, _201820), _201824 = _201822, _201820 = _201818], (48 ^ _200578) ^ [_202262, _202264, _202266, _202268] : [-(gt(_202266, _202262)), gt(_202268, _202264), _202268 = _202266, _202264 = _202262], (62 ^ _200578) ^ [_202686, _202688, _202690, _202692] : [-(leq(_202690, _202686)), leq(_202692, _202688), _202692 = _202690, _202688 = _202686], (76 ^ _200578) ^ [_203142, _203144, _203146, _203148] : [-(uniform_int_rnd(_203148, _203144) = uniform_int_rnd(_203146, _203142)), _203148 = _203146, _203144 = _203142], (86 ^ _200578) ^ [_203501, _203503, _203505, _203507] : [-(tptp_const_array1(_203507, _203503) = tptp_const_array1(_203505, _203501)), _203507 = _203505, _203503 = _203501], (96 ^ _200578) ^ [_203888, _203890, _203892, _203894, _203896, _203898] : [-(tptp_const_array2(_203898, _203894, _203890) = tptp_const_array2(_203896, _203892, _203888)), _203898 = _203896, _203894 = _203892, _203890 = _203888], (110 ^ _200578) ^ [_204376, _204378, _204380, _204382] : [-(dim(_204382, _204378) = dim(_204380, _204376)), _204382 = _204380, _204378 = _204376], (120 ^ _200578) ^ [_204707, _204709] : [_204709 = _204707, -(inv(_204709) = inv(_204707))], (126 ^ _200578) ^ [_204953, _204955, _204957, _204959] : [-(tptp_msub(_204959, _204955) = tptp_msub(_204957, _204953)), _204959 = _204957, _204955 = _204953], (136 ^ _200578) ^ [_205312, _205314, _205316, _205318] : [-(tptp_madd(_205318, _205314) = tptp_madd(_205316, _205312)), _205318 = _205316, _205314 = _205312], (146 ^ _200578) ^ [_205671, _205673, _205675, _205677] : [-(tptp_mmul(_205677, _205673) = tptp_mmul(_205675, _205671)), _205677 = _205675, _205673 = _205671], (156 ^ _200578) ^ [_206002, _206004] : [_206004 = _206002, -(trans(_206004) = trans(_206002))], (162 ^ _200578) ^ [_206276, _206278, _206280, _206282, _206284, _206286] : [-(sum(_206286, _206282, _206278) = sum(_206284, _206280, _206276)), _206286 = _206284, _206282 = _206280, _206278 = _206276], (176 ^ _200578) ^ [_206764, _206766, _206768, _206770] : [-(plus(_206770, _206766) = plus(_206768, _206764)), _206770 = _206768, _206766 = _206764], (186 ^ _200578) ^ [_207095, _207097] : [_207097 = _207095, -(pred(_207097) = pred(_207095))], (192 ^ _200578) ^ [_207369, _207371, _207373, _207375, _207377, _207379] : [-(a_select3(_207379, _207375, _207371) = a_select3(_207377, _207373, _207369)), _207379 = _207377, _207375 = _207373, _207371 = _207369], (206 ^ _200578) ^ [_207913, _207915, _207917, _207919, _207921, _207923, _207925, _207927] : [-(tptp_update3(_207927, _207923, _207919, _207915) = tptp_update3(_207925, _207921, _207917, _207913)), _207927 = _207925, _207923 = _207921, _207919 = _207917, _207915 = _207913], (224 ^ _200578) ^ [_208546, _208548, _208550, _208552] : [-(a_select2(_208552, _208548) = a_select2(_208550, _208546)), _208552 = _208550, _208548 = _208546], (234 ^ _200578) ^ [_208933, _208935, _208937, _208939, _208941, _208943] : [-(tptp_update2(_208943, _208939, _208935) = tptp_update2(_208941, _208937, _208933)), _208943 = _208941, _208939 = _208937, _208935 = _208933], (248 ^ _200578) ^ [_209393, _209395] : [_209395 = _209393, -(succ(_209395) = succ(_209393))], (254 ^ _200578) ^ [_209619, _209621, _209623, _209625] : [-(minus(_209625, _209621) = minus(_209623, _209619)), _209625 = _209623, _209621 = _209619], (869 ^ _200578) ^ [] : [-(gt(n5, n4))], (871 ^ _200578) ^ [] : [-(gt(n135300, n4))], (873 ^ _200578) ^ [] : [-(gt(n135300, n5))], (875 ^ _200578) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _200578) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _200578) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _200578) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _200578) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _200578) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _200578) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _200578) ^ [] : [-(gt(n4, n0))], (891 ^ _200578) ^ [] : [-(gt(n5, n0))], (893 ^ _200578) ^ [] : [-(gt(n135300, n0))], (895 ^ _200578) ^ [] : [-(gt(n1, n0))], (897 ^ _200578) ^ [] : [-(gt(n2, n0))], (899 ^ _200578) ^ [] : [-(gt(n3, n0))], (901 ^ _200578) ^ [] : [-(gt(n4, n1))], (903 ^ _200578) ^ [] : [-(gt(n5, n1))], (905 ^ _200578) ^ [] : [-(gt(n135300, n1))], (907 ^ _200578) ^ [] : [-(gt(n2, n1))], (909 ^ _200578) ^ [] : [-(gt(n3, n1))], (911 ^ _200578) ^ [] : [-(gt(n4, n2))], (913 ^ _200578) ^ [] : [-(gt(n5, n2))], (915 ^ _200578) ^ [] : [-(gt(n135300, n2))], (917 ^ _200578) ^ [] : [-(gt(n3, n2))], (919 ^ _200578) ^ [] : [-(gt(n4, n3))], (921 ^ _200578) ^ [] : [-(gt(n5, n3))], (923 ^ _200578) ^ [] : [-(gt(n135300, n3))], (925 ^ _200578) ^ [_237459] : [leq(n0, _237459), leq(_237459, n4), -(_237459 = n0), -(_237459 = n1), -(_237459 = n2), -(_237459 = n3), -(_237459 = n4)], (951 ^ _200578) ^ [_238080] : [leq(n0, _238080), leq(_238080, n5), -(_238080 = n0), -(_238080 = n1), -(_238080 = n2), -(_238080 = n3), -(_238080 = n4), -(_238080 = n5)], (981 ^ _200578) ^ [_238787] : [-(_238787 = n0), leq(n0, _238787), leq(_238787, n0)], (991 ^ _200578) ^ [_239062] : [leq(n0, _239062), leq(_239062, n1), -(_239062 = n0), -(_239062 = n1)], (1005 ^ _200578) ^ [_239425] : [leq(n0, _239425), leq(_239425, n2), -(_239425 = n0), -(_239425 = n1), -(_239425 = n2)], (1045 ^ _200578) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _200578) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _200578) ^ [] : [-(succ(n0) = n1)], (1051 ^ _200578) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _200578) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _200578) ^ [_239874] : [leq(n0, _239874), leq(_239874, n3), -(_239874 = n0), -(_239874 = n1), -(_239874 = n2), -(_239874 = n3)], (264 ^ _200578) ^ [_210050, _210052] : [-(gt(_210052, _210050)), -(gt(_210050, _210052)), -(_210052 = _210050)], (274 ^ _200578) ^ [_210365, _210367, _210369] : [-(gt(_210369, _210365)), gt(_210369, _210367), gt(_210367, _210365)], (284 ^ _200578) ^ [_210644] : [gt(_210644, _210644)], (286 ^ _200578) ^ [_210722] : [-(leq(_210722, _210722))], (288 ^ _200578) ^ [_210843, _210845, _210847] : [-(leq(_210847, _210843)), leq(_210847, _210845), leq(_210845, _210843)], (298 ^ _200578) ^ [_211181, _211183] : [lt(_211183, _211181), -(gt(_211181, _211183))], (304 ^ _200578) ^ [_211343, _211345] : [gt(_211343, _211345), -(lt(_211345, _211343))], (310 ^ _200578) ^ [_211584, _211586] : [geq(_211586, _211584), -(leq(_211584, _211586))], (316 ^ _200578) ^ [_211746, _211748] : [leq(_211746, _211748), -(geq(_211748, _211746))], (322 ^ _200578) ^ [_211958, _211960] : [gt(_211958, _211960), -(leq(_211960, _211958))], (328 ^ _200578) ^ [_212168, _212170] : [-(gt(_212168, _212170)), leq(_212170, _212168), -(_212170 = _212168)], (338 ^ _200578) ^ [_212499, _212501] : [leq(_212501, pred(_212499)), -(gt(_212499, _212501))], (344 ^ _200578) ^ [_212665, _212667] : [gt(_212665, _212667), -(leq(_212667, pred(_212665)))], (350 ^ _200578) ^ [_212852] : [-(gt(succ(_212852), _212852))], (352 ^ _200578) ^ [_212961, _212963] : [leq(_212963, _212961), -(leq(_212963, succ(_212961)))], (358 ^ _200578) ^ [_213204, _213206] : [leq(_213206, _213204), -(gt(succ(_213204), _213206))], (364 ^ _200578) ^ [_213370, _213372] : [gt(succ(_213370), _213372), -(leq(_213372, _213370))], (370 ^ _200578) ^ [_213586, _213588] : [leq(n0, _213588), -(leq(uniform_int_rnd(_213586, _213588), _213588))], (376 ^ _200578) ^ [_213802, _213804] : [leq(n0, _213804), -(leq(n0, uniform_int_rnd(_213802, _213804)))], (382 ^ _200578) ^ [_214046, _214048, _214050, _214052] : [-(a_select2(tptp_const_array1(dim(_214050, _214048), _214046), _214052) = _214046), leq(_214050, _214052), leq(_214052, _214048)], (392 ^ _200578) ^ [_214453, _214455, _214457, _214459, _214461, _214463, _214465] : [-(a_select3(tptp_const_array2(dim(_214463, _214461), dim(_214457, _214455), _214453), _214465, _214459) = _214453), leq(_214463, _214465), leq(_214465, _214461), leq(_214457, _214459), leq(_214459, _214455)], (410 ^ _200578) ^ [_215048, _215050] : [413 ^ _200578 : [(414 ^ _200578) ^ [] : [-(leq(n0, 411 ^ [_215048, _215050]))], (416 ^ _200578) ^ [] : [-(leq(411 ^ [_215048, _215050], _215048))], (418 ^ _200578) ^ [] : [-(leq(n0, 412 ^ [_215048, _215050]))], (420 ^ _200578) ^ [] : [-(leq(412 ^ [_215048, _215050], _215048))], (422 ^ _200578) ^ [] : [a_select3(_215050, 411 ^ [_215048, _215050], 412 ^ [_215048, _215050]) = a_select3(_215050, 412 ^ [_215048, _215050], 411 ^ [_215048, _215050])]], 423 ^ _200578 : [(424 ^ _200578) ^ [_215805, _215807] : [-(a_select3(trans(_215050), _215807, _215805) = a_select3(trans(_215050), _215805, _215807)), leq(n0, _215807), leq(_215807, _215048), leq(n0, _215805), leq(_215805, _215048)]]], (442 ^ _200578) ^ [_216352, _216354] : [445 ^ _200578 : [(446 ^ _200578) ^ [] : [-(leq(n0, 443 ^ [_216352, _216354]))], (448 ^ _200578) ^ [] : [-(leq(443 ^ [_216352, _216354], _216352))], (450 ^ _200578) ^ [] : [-(leq(n0, 444 ^ [_216352, _216354]))], (452 ^ _200578) ^ [] : [-(leq(444 ^ [_216352, _216354], _216352))], (454 ^ _200578) ^ [] : [a_select3(_216354, 443 ^ [_216352, _216354], 444 ^ [_216352, _216354]) = a_select3(_216354, 444 ^ [_216352, _216354], 443 ^ [_216352, _216354])]], 455 ^ _200578 : [(456 ^ _200578) ^ [_217109, _217111] : [-(a_select3(inv(_216354), _217111, _217109) = a_select3(inv(_216354), _217109, _217111)), leq(n0, _217111), leq(_217111, _216352), leq(n0, _217109), leq(_217109, _216352)]]], (474 ^ _200578) ^ [_217656, _217658] : [477 ^ _200578 : [(478 ^ _200578) ^ [] : [-(leq(n0, 475 ^ [_217656, _217658]))], (480 ^ _200578) ^ [] : [-(leq(475 ^ [_217656, _217658], _217656))], (482 ^ _200578) ^ [] : [-(leq(n0, 476 ^ [_217656, _217658]))], (484 ^ _200578) ^ [] : [-(leq(476 ^ [_217656, _217658], _217656))], (486 ^ _200578) ^ [] : [a_select3(_217658, 475 ^ [_217656, _217658], 476 ^ [_217656, _217658]) = a_select3(_217658, 476 ^ [_217656, _217658], 475 ^ [_217656, _217658])]], 487 ^ _200578 : [(488 ^ _200578) ^ [_218469, _218471, _218473, _218475] : [-(a_select3(tptp_update3(_217658, _218471, _218471, _218469), _218475, _218473) = a_select3(tptp_update3(_217658, _218471, _218471, _218469), _218473, _218475)), leq(n0, _218475), leq(_218475, _217656), leq(n0, _218473), leq(_218473, _217656), leq(n0, _218471), leq(_218471, _217656)]]], (514 ^ _200578) ^ [_219288, _219290, _219292] : [519 ^ _200578 : [(520 ^ _200578) ^ [] : [-(leq(n0, 517 ^ [_219288, _219290, _219292]))], (522 ^ _200578) ^ [] : [-(leq(517 ^ [_219288, _219290, _219292], _219288))], (524 ^ _200578) ^ [] : [-(leq(n0, 518 ^ [_219288, _219290, _219292]))], (526 ^ _200578) ^ [] : [-(leq(518 ^ [_219288, _219290, _219292], _219288))], (528 ^ _200578) ^ [] : [a_select3(_219292, 517 ^ [_219288, _219290, _219292], 518 ^ [_219288, _219290, _219292]) = a_select3(_219292, 518 ^ [_219288, _219290, _219292], 517 ^ [_219288, _219290, _219292])]], 531 ^ _200578 : [(532 ^ _200578) ^ [] : [-(leq(n0, 529 ^ [_219288, _219290, _219292]))], (534 ^ _200578) ^ [] : [-(leq(529 ^ [_219288, _219290, _219292], _219288))], (536 ^ _200578) ^ [] : [-(leq(n0, 530 ^ [_219288, _219290, _219292]))], (538 ^ _200578) ^ [] : [-(leq(530 ^ [_219288, _219290, _219292], _219288))], (540 ^ _200578) ^ [] : [a_select3(_219290, 529 ^ [_219288, _219290, _219292], 530 ^ [_219288, _219290, _219292]) = a_select3(_219290, 530 ^ [_219288, _219290, _219292], 529 ^ [_219288, _219290, _219292])]], 541 ^ _200578 : [(542 ^ _200578) ^ [_220797, _220799] : [-(a_select3(tptp_madd(_219292, _219290), _220799, _220797) = a_select3(tptp_madd(_219292, _219290), _220797, _220799)), leq(n0, _220799), leq(_220799, _219288), leq(n0, _220797), leq(_220797, _219288)]]], (560 ^ _200578) ^ [_221383, _221385, _221387] : [565 ^ _200578 : [(566 ^ _200578) ^ [] : [-(leq(n0, 563 ^ [_221383, _221385, _221387]))], (568 ^ _200578) ^ [] : [-(leq(563 ^ [_221383, _221385, _221387], _221383))], (570 ^ _200578) ^ [] : [-(leq(n0, 564 ^ [_221383, _221385, _221387]))], (572 ^ _200578) ^ [] : [-(leq(564 ^ [_221383, _221385, _221387], _221383))], (574 ^ _200578) ^ [] : [a_select3(_221387, 563 ^ [_221383, _221385, _221387], 564 ^ [_221383, _221385, _221387]) = a_select3(_221387, 564 ^ [_221383, _221385, _221387], 563 ^ [_221383, _221385, _221387])]], 577 ^ _200578 : [(578 ^ _200578) ^ [] : [-(leq(n0, 575 ^ [_221383, _221385, _221387]))], (580 ^ _200578) ^ [] : [-(leq(575 ^ [_221383, _221385, _221387], _221383))], (582 ^ _200578) ^ [] : [-(leq(n0, 576 ^ [_221383, _221385, _221387]))], (584 ^ _200578) ^ [] : [-(leq(576 ^ [_221383, _221385, _221387], _221383))], (586 ^ _200578) ^ [] : [a_select3(_221385, 575 ^ [_221383, _221385, _221387], 576 ^ [_221383, _221385, _221387]) = a_select3(_221385, 576 ^ [_221383, _221385, _221387], 575 ^ [_221383, _221385, _221387])]], 587 ^ _200578 : [(588 ^ _200578) ^ [_222892, _222894] : [-(a_select3(tptp_msub(_221387, _221385), _222894, _222892) = a_select3(tptp_msub(_221387, _221385), _222892, _222894)), leq(n0, _222894), leq(_222894, _221383), leq(n0, _222892), leq(_222892, _221383)]]], (606 ^ _200578) ^ [_223478, _223480, _223482] : [609 ^ _200578 : [(610 ^ _200578) ^ [] : [-(leq(n0, 607 ^ [_223478, _223480, _223482]))], (612 ^ _200578) ^ [] : [-(leq(607 ^ [_223478, _223480, _223482], _223478))], (614 ^ _200578) ^ [] : [-(leq(n0, 608 ^ [_223478, _223480, _223482]))], (616 ^ _200578) ^ [] : [-(leq(608 ^ [_223478, _223480, _223482], _223478))], (618 ^ _200578) ^ [] : [a_select3(_223480, 607 ^ [_223478, _223480, _223482], 608 ^ [_223478, _223480, _223482]) = a_select3(_223480, 608 ^ [_223478, _223480, _223482], 607 ^ [_223478, _223480, _223482])]], 619 ^ _200578 : [(620 ^ _200578) ^ [_224291, _224293] : [-(a_select3(tptp_mmul(_223482, tptp_mmul(_223480, trans(_223482))), _224293, _224291) = a_select3(tptp_mmul(_223482, tptp_mmul(_223480, trans(_223482))), _224291, _224293)), leq(n0, _224293), leq(_224293, _223478), leq(n0, _224291), leq(_224291, _223478)]]], (638 ^ _200578) ^ [_224910, _224912, _224914, _224916] : [641 ^ _200578 : [(642 ^ _200578) ^ [] : [-(leq(n0, 639 ^ [_224910, _224912, _224914, _224916]))], (644 ^ _200578) ^ [] : [-(leq(639 ^ [_224910, _224912, _224914, _224916], _224910))], (646 ^ _200578) ^ [] : [-(leq(n0, 640 ^ [_224910, _224912, _224914, _224916]))], (648 ^ _200578) ^ [] : [-(leq(640 ^ [_224910, _224912, _224914, _224916], _224910))], (650 ^ _200578) ^ [] : [a_select3(_224914, 639 ^ [_224910, _224912, _224914, _224916], 640 ^ [_224910, _224912, _224914, _224916]) = a_select3(_224914, 640 ^ [_224910, _224912, _224914, _224916], 639 ^ [_224910, _224912, _224914, _224916])]], 651 ^ _200578 : [(652 ^ _200578) ^ [_225767, _225769] : [-(a_select3(tptp_mmul(_224916, tptp_mmul(_224914, trans(_224916))), _225769, _225767) = a_select3(tptp_mmul(_224916, tptp_mmul(_224914, trans(_224916))), _225767, _225769)), leq(n0, _225769), leq(_225769, _224912), leq(n0, _225767), leq(_225767, _224912)]]], (670 ^ _200578) ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476] : [675 ^ _200578 : [(676 ^ _200578) ^ [] : [-(leq(n0, 673 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (678 ^ _200578) ^ [] : [-(leq(673 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226462))], (680 ^ _200578) ^ [] : [-(leq(n0, 674 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (682 ^ _200578) ^ [] : [-(leq(674 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226462))], (684 ^ _200578) ^ [] : [a_select3(_226470, 673 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 674 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]) = a_select3(_226470, 674 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 673 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476])]], 689 ^ _200578 : [(690 ^ _200578) ^ [] : [-(leq(n0, 687 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (692 ^ _200578) ^ [] : [-(leq(687 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226464))], (694 ^ _200578) ^ [] : [-(leq(n0, 688 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (696 ^ _200578) ^ [] : [-(leq(688 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226464))], (698 ^ _200578) ^ [] : [a_select3(_226476, 687 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 688 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]) = a_select3(_226476, 688 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 687 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476])]], 701 ^ _200578 : [(702 ^ _200578) ^ [] : [-(leq(n0, 699 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (704 ^ _200578) ^ [] : [-(leq(699 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226464))], (706 ^ _200578) ^ [] : [-(leq(n0, 700 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]))], (708 ^ _200578) ^ [] : [-(leq(700 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], _226464))], (710 ^ _200578) ^ [] : [a_select3(_226466, 699 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 700 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476]) = a_select3(_226466, 700 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476], 699 ^ [_226462, _226464, _226466, _226468, _226470, _226472, _226474, _226476])]], 711 ^ _200578 : [(712 ^ _200578) ^ [_229390, _229392] : [-(a_select3(tptp_madd(_226476, tptp_mmul(_226474, tptp_mmul(tptp_madd(tptp_mmul(_226472, tptp_mmul(_226470, trans(_226472))), tptp_mmul(_226468, tptp_mmul(_226466, trans(_226468)))), trans(_226474)))), _229392, _229390) = a_select3(tptp_madd(_226476, tptp_mmul(_226474, tptp_mmul(tptp_madd(tptp_mmul(_226472, tptp_mmul(_226470, trans(_226472))), tptp_mmul(_226468, tptp_mmul(_226466, trans(_226468)))), trans(_226474)))), _229390, _229392)), leq(n0, _229392), leq(_229392, _226464), leq(n0, _229390), leq(_229390, _226464)]]], (730 ^ _200578) ^ [_230143] : [-(sum(n0, tptp_minus_1, _230143) = n0)], (732 ^ _200578) ^ [_230225] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230225))], (734 ^ _200578) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _200578) ^ [_230360] : [-(plus(_230360, n1) = succ(_230360))], (738 ^ _200578) ^ [_230443] : [-(plus(n1, _230443) = succ(_230443))], (740 ^ _200578) ^ [_230526] : [-(plus(_230526, n2) = succ(succ(_230526)))], (742 ^ _200578) ^ [_230611] : [-(plus(n2, _230611) = succ(succ(_230611)))], (744 ^ _200578) ^ [_230696] : [-(plus(_230696, n3) = succ(succ(succ(_230696))))], (746 ^ _200578) ^ [_230783] : [-(plus(n3, _230783) = succ(succ(succ(_230783))))], (748 ^ _200578) ^ [_230870] : [-(plus(_230870, n4) = succ(succ(succ(succ(_230870)))))], (750 ^ _200578) ^ [_230959] : [-(plus(n4, _230959) = succ(succ(succ(succ(_230959)))))], (752 ^ _200578) ^ [_231048] : [-(plus(_231048, n5) = succ(succ(succ(succ(succ(_231048))))))], (754 ^ _200578) ^ [_231139] : [-(plus(n5, _231139) = succ(succ(succ(succ(succ(_231139))))))], (756 ^ _200578) ^ [_231230] : [-(minus(_231230, n1) = pred(_231230))], (758 ^ _200578) ^ [_231313] : [-(pred(succ(_231313)) = _231313)], (760 ^ _200578) ^ [_231395] : [-(succ(pred(_231395)) = _231395)], (762 ^ _200578) ^ [_231535, _231537] : [leq(succ(_231537), succ(_231535)), -(leq(_231537, _231535))], (768 ^ _200578) ^ [_231705, _231707] : [leq(_231707, _231705), -(leq(succ(_231707), succ(_231705)))], (774 ^ _200578) ^ [_231925, _231927] : [leq(succ(_231927), _231925), -(gt(_231925, _231927))], (780 ^ _200578) ^ [_232139, _232141] : [leq(minus(_232141, _232139), _232141), -(leq(n0, _232139))], (786 ^ _200578) ^ [_232368, _232370, _232372, _232374] : [-(a_select3(tptp_update3(_232374, _232372, _232370, _232368), _232372, _232370) = _232368)], (788 ^ _200578) ^ [_232560, _232562, _232564, _232566, _232568, _232570, _232572] : [-(a_select3(tptp_update3(_232564, _232572, _232570, _232560), _232568, _232566) = _232562), -(_232572 = _232568), _232570 = _232566, a_select3(_232564, _232568, _232566) = _232562], (802 ^ _200578) ^ [_233103, _233105, _233107, _233109, _233111, _233113] : [-(a_select3(tptp_update3(_233105, _233109, _233107, _233103), _233113, _233111) = _233103), 807 ^ _200578 : [(808 ^ _200578) ^ [] : [-(leq(n0, 805 ^ [_233103, _233105, _233107, _233109, _233111, _233113]))], (810 ^ _200578) ^ [] : [-(leq(n0, 806 ^ [_233103, _233105, _233107, _233109, _233111, _233113]))], (812 ^ _200578) ^ [] : [-(leq(805 ^ [_233103, _233105, _233107, _233109, _233111, _233113], _233109))], (814 ^ _200578) ^ [] : [-(leq(806 ^ [_233103, _233105, _233107, _233109, _233111, _233113], _233107))], (816 ^ _200578) ^ [] : [a_select3(_233105, 805 ^ [_233103, _233105, _233107, _233109, _233111, _233113], 806 ^ [_233103, _233105, _233107, _233109, _233111, _233113]) = _233103]], leq(n0, _233113), leq(_233113, _233109), leq(n0, _233111), leq(_233111, _233107)], (834 ^ _200578) ^ [_234445, _234447, _234449] : [-(a_select2(tptp_update2(_234449, _234447, _234445), _234447) = _234445)], (836 ^ _200578) ^ [_234605, _234607, _234609, _234611, _234613] : [-(a_select2(tptp_update2(_234609, _234613, _234605), _234611) = _234607), -(_234613 = _234611), a_select2(_234609, _234611) = _234607], (865 ^ _200578) ^ [] : [-(true)], (867 ^ _200578) ^ [] : [def = use], (846 ^ _200578) ^ [_234985, _234987, _234989, _234991] : [-(a_select2(tptp_update2(_234987, _234989, _234985), _234991) = _234985), 850 ^ _200578 : [(851 ^ _200578) ^ [] : [-(leq(n0, 849 ^ [_234985, _234987, _234989, _234991]))], (853 ^ _200578) ^ [] : [-(leq(849 ^ [_234985, _234987, _234989, _234991], _234989))], (855 ^ _200578) ^ [] : [a_select2(_234987, 849 ^ [_234985, _234987, _234989, _234991]) = _234985]], leq(n0, _234991), leq(_234991, _234989)]], input).
% 0.35/1.37  ncf('1',plain,[leq(n0, n0), leq(n0, pv10), leq(n0, pv53), leq(n0, pv54), leq(pv10, minus(n135300, n1)), leq(pv53, minus(n5, n1)), leq(pv54, minus(n5, n1))],start(1067 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(leq(n0, n0))],extension(286 ^ 1,bind([[_210722], [n0]]))).
% 0.35/1.37  ncf('1.2',plain,[-(leq(n0, pv10))],extension(1055 ^ 1)).
% 0.35/1.37  ncf('1.3',plain,[-(leq(n0, pv53))],extension(1057 ^ 1)).
% 0.35/1.37  ncf('1.4',plain,[-(leq(n0, pv54))],extension(1059 ^ 1)).
% 0.35/1.37  ncf('1.5',plain,[-(leq(pv10, minus(n135300, n1)))],extension(1061 ^ 1)).
% 0.35/1.37  ncf('1.6',plain,[-(leq(pv53, minus(n5, n1)))],extension(1063 ^ 1)).
% 0.35/1.37  ncf('1.7',plain,[-(leq(pv54, minus(n5, n1)))],extension(1065 ^ 1)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------