%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV132+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 12:20:01 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV132+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n013.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 02:47:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1115 ^ _201008) ^ [] : [leq(s_best7, n3)], (1041 ^ _201008) ^ [] : [leq(tptp_float_0_001, pv1341)], (1043 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], (1049 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1055 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1061 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1067 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1073 ^ _201008) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1079 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1085 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1091 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1097 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1103 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1109 ^ _201008) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (2 ^ _201008) ^ [_201152] : [-(_201152 = _201152)], (4 ^ _201008) ^ [_201259, _201261] : [_201261 = _201259, -(_201259 = _201261)], (10 ^ _201008) ^ [_201463, _201465, _201467] : [-(_201467 = _201463), _201467 = _201465, _201465 = _201463], (20 ^ _201008) ^ [_201804, _201806, _201808, _201810] : [-(lt(_201808, _201804)), lt(_201810, _201806), _201810 = _201808, _201806 = _201804], (34 ^ _201008) ^ [_202248, _202250, _202252, _202254] : [-(geq(_202252, _202248)), geq(_202254, _202250), _202254 = _202252, _202250 = _202248], (48 ^ _201008) ^ [_202692, _202694, _202696, _202698] : [-(gt(_202696, _202692)), gt(_202698, _202694), _202698 = _202696, _202694 = _202692], (62 ^ _201008) ^ [_203116, _203118, _203120, _203122] : [-(leq(_203120, _203116)), leq(_203122, _203118), _203122 = _203120, _203118 = _203116], (76 ^ _201008) ^ [_203572, _203574, _203576, _203578] : [-(uniform_int_rnd(_203578, _203574) = uniform_int_rnd(_203576, _203572)), _203578 = _203576, _203574 = _203572], (86 ^ _201008) ^ [_203931, _203933, _203935, _203937] : [-(tptp_const_array1(_203937, _203933) = tptp_const_array1(_203935, _203931)), _203937 = _203935, _203933 = _203931], (96 ^ _201008) ^ [_204318, _204320, _204322, _204324, _204326, _204328] : [-(tptp_const_array2(_204328, _204324, _204320) = tptp_const_array2(_204326, _204322, _204318)), _204328 = _204326, _204324 = _204322, _204320 = _204318], (110 ^ _201008) ^ [_204806, _204808, _204810, _204812] : [-(dim(_204812, _204808) = dim(_204810, _204806)), _204812 = _204810, _204808 = _204806], (120 ^ _201008) ^ [_205137, _205139] : [_205139 = _205137, -(inv(_205139) = inv(_205137))], (126 ^ _201008) ^ [_205383, _205385, _205387, _205389] : [-(tptp_msub(_205389, _205385) = tptp_msub(_205387, _205383)), _205389 = _205387, _205385 = _205383], (136 ^ _201008) ^ [_205742, _205744, _205746, _205748] : [-(tptp_madd(_205748, _205744) = tptp_madd(_205746, _205742)), _205748 = _205746, _205744 = _205742], (146 ^ _201008) ^ [_206101, _206103, _206105, _206107] : [-(tptp_mmul(_206107, _206103) = tptp_mmul(_206105, _206101)), _206107 = _206105, _206103 = _206101], (156 ^ _201008) ^ [_206432, _206434] : [_206434 = _206432, -(trans(_206434) = trans(_206432))], (162 ^ _201008) ^ [_206706, _206708, _206710, _206712, _206714, _206716] : [-(sum(_206716, _206712, _206708) = sum(_206714, _206710, _206706)), _206716 = _206714, _206712 = _206710, _206708 = _206706], (176 ^ _201008) ^ [_207194, _207196, _207198, _207200] : [-(plus(_207200, _207196) = plus(_207198, _207194)), _207200 = _207198, _207196 = _207194], (186 ^ _201008) ^ [_207525, _207527] : [_207527 = _207525, -(pred(_207527) = pred(_207525))], (192 ^ _201008) ^ [_207771, _207773, _207775, _207777] : [-(minus(_207777, _207773) = minus(_207775, _207771)), _207777 = _207775, _207773 = _207771], (202 ^ _201008) ^ [_208158, _208160, _208162, _208164, _208166, _208168] : [-(a_select3(_208168, _208164, _208160) = a_select3(_208166, _208162, _208158)), _208168 = _208166, _208164 = _208162, _208160 = _208158], (216 ^ _201008) ^ [_208702, _208704, _208706, _208708, _208710, _208712, _208714, _208716] : [-(tptp_update3(_208716, _208712, _208708, _208704) = tptp_update3(_208714, _208710, _208706, _208702)), _208716 = _208714, _208712 = _208710, _208708 = _208706, _208704 = _208702], (234 ^ _201008) ^ [_209335, _209337, _209339, _209341] : [-(a_select2(_209341, _209337) = a_select2(_209339, _209335)), _209341 = _209339, _209337 = _209335], (258 ^ _201008) ^ [_210162, _210164] : [_210164 = _210162, -(succ(_210164) = succ(_210162))], (244 ^ _201008) ^ [_209722, _209724, _209726, _209728, _209730, _209732] : [-(tptp_update2(_209732, _209728, _209724) = tptp_update2(_209730, _209726, _209722)), _209732 = _209730, _209728 = _209726, _209724 = _209722], (869 ^ _201008) ^ [] : [-(gt(n5, n4))], (871 ^ _201008) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _201008) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _201008) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _201008) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _201008) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _201008) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _201008) ^ [] : [-(gt(n4, n0))], (885 ^ _201008) ^ [] : [-(gt(n5, n0))], (887 ^ _201008) ^ [] : [-(gt(n1, n0))], (889 ^ _201008) ^ [] : [-(gt(n2, n0))], (891 ^ _201008) ^ [] : [-(gt(n3, n0))], (893 ^ _201008) ^ [] : [-(gt(n4, n1))], (895 ^ _201008) ^ [] : [-(gt(n5, n1))], (897 ^ _201008) ^ [] : [-(gt(n2, n1))], (899 ^ _201008) ^ [] : [-(gt(n3, n1))], (901 ^ _201008) ^ [] : [-(gt(n4, n2))], (903 ^ _201008) ^ [] : [-(gt(n5, n2))], (905 ^ _201008) ^ [] : [-(gt(n3, n2))], (907 ^ _201008) ^ [] : [-(gt(n4, n3))], (909 ^ _201008) ^ [] : [-(gt(n5, n3))], (911 ^ _201008) ^ [_237518] : [leq(n0, _237518), leq(_237518, n4), -(_237518 = n0), -(_237518 = n1), -(_237518 = n2), -(_237518 = n3), -(_237518 = n4)], (937 ^ _201008) ^ [_238139] : [leq(n0, _238139), leq(_238139, n5), -(_238139 = n0), -(_238139 = n1), -(_238139 = n2), -(_238139 = n3), -(_238139 = n4), -(_238139 = n5)], (967 ^ _201008) ^ [_238846] : [-(_238846 = n0), leq(n0, _238846), leq(_238846, n0)], (977 ^ _201008) ^ [_239121] : [leq(n0, _239121), leq(_239121, n1), -(_239121 = n0), -(_239121 = n1)], (991 ^ _201008) ^ [_239484] : [leq(n0, _239484), leq(_239484, n2), -(_239484 = n0), -(_239484 = n1), -(_239484 = n2)], (1031 ^ _201008) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _201008) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _201008) ^ [] : [-(succ(n0) = n1)], (1037 ^ _201008) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _201008) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _201008) ^ [_239933] : [leq(n0, _239933), leq(_239933, n3), -(_239933 = n0), -(_239933 = n1), -(_239933 = n2), -(_239933 = n3)], (264 ^ _201008) ^ [_210480, _210482] : [-(gt(_210482, _210480)), -(gt(_210480, _210482)), -(_210482 = _210480)], (274 ^ _201008) ^ [_210795, _210797, _210799] : [-(gt(_210799, _210795)), gt(_210799, _210797), gt(_210797, _210795)], (284 ^ _201008) ^ [_211074] : [gt(_211074, _211074)], (286 ^ _201008) ^ [_211152] : [-(leq(_211152, _211152))], (288 ^ _201008) ^ [_211273, _211275, _211277] : [-(leq(_211277, _211273)), leq(_211277, _211275), leq(_211275, _211273)], (298 ^ _201008) ^ [_211611, _211613] : [lt(_211613, _211611), -(gt(_211611, _211613))], (304 ^ _201008) ^ [_211773, _211775] : [gt(_211773, _211775), -(lt(_211775, _211773))], (310 ^ _201008) ^ [_212014, _212016] : [geq(_212016, _212014), -(leq(_212014, _212016))], (316 ^ _201008) ^ [_212176, _212178] : [leq(_212176, _212178), -(geq(_212178, _212176))], (322 ^ _201008) ^ [_212388, _212390] : [gt(_212388, _212390), -(leq(_212390, _212388))], (328 ^ _201008) ^ [_212598, _212600] : [-(gt(_212598, _212600)), leq(_212600, _212598), -(_212600 = _212598)], (338 ^ _201008) ^ [_212929, _212931] : [leq(_212931, pred(_212929)), -(gt(_212929, _212931))], (344 ^ _201008) ^ [_213095, _213097] : [gt(_213095, _213097), -(leq(_213097, pred(_213095)))], (350 ^ _201008) ^ [_213282] : [-(gt(succ(_213282), _213282))], (352 ^ _201008) ^ [_213391, _213393] : [leq(_213393, _213391), -(leq(_213393, succ(_213391)))], (358 ^ _201008) ^ [_213634, _213636] : [leq(_213636, _213634), -(gt(succ(_213634), _213636))], (364 ^ _201008) ^ [_213800, _213802] : [gt(succ(_213800), _213802), -(leq(_213802, _213800))], (370 ^ _201008) ^ [_214016, _214018] : [leq(n0, _214018), -(leq(uniform_int_rnd(_214016, _214018), _214018))], (376 ^ _201008) ^ [_214232, _214234] : [leq(n0, _214234), -(leq(n0, uniform_int_rnd(_214232, _214234)))], (382 ^ _201008) ^ [_214476, _214478, _214480, _214482] : [-(a_select2(tptp_const_array1(dim(_214480, _214478), _214476), _214482) = _214476), leq(_214480, _214482), leq(_214482, _214478)], (392 ^ _201008) ^ [_214883, _214885, _214887, _214889, _214891, _214893, _214895] : [-(a_select3(tptp_const_array2(dim(_214893, _214891), dim(_214887, _214885), _214883), _214895, _214889) = _214883), leq(_214893, _214895), leq(_214895, _214891), leq(_214887, _214889), leq(_214889, _214885)], (410 ^ _201008) ^ [_215478, _215480] : [413 ^ _201008 : [(414 ^ _201008) ^ [] : [-(leq(n0, 411 ^ [_215478, _215480]))], (416 ^ _201008) ^ [] : [-(leq(411 ^ [_215478, _215480], _215478))], (418 ^ _201008) ^ [] : [-(leq(n0, 412 ^ [_215478, _215480]))], (420 ^ _201008) ^ [] : [-(leq(412 ^ [_215478, _215480], _215478))], (422 ^ _201008) ^ [] : [a_select3(_215480, 411 ^ [_215478, _215480], 412 ^ [_215478, _215480]) = a_select3(_215480, 412 ^ [_215478, _215480], 411 ^ [_215478, _215480])]], 423 ^ _201008 : [(424 ^ _201008) ^ [_216235, _216237] : [-(a_select3(trans(_215480), _216237, _216235) = a_select3(trans(_215480), _216235, _216237)), leq(n0, _216237), leq(_216237, _215478), leq(n0, _216235), leq(_216235, _215478)]]], (442 ^ _201008) ^ [_216782, _216784] : [445 ^ _201008 : [(446 ^ _201008) ^ [] : [-(leq(n0, 443 ^ [_216782, _216784]))], (448 ^ _201008) ^ [] : [-(leq(443 ^ [_216782, _216784], _216782))], (450 ^ _201008) ^ [] : [-(leq(n0, 444 ^ [_216782, _216784]))], (452 ^ _201008) ^ [] : [-(leq(444 ^ [_216782, _216784], _216782))], (454 ^ _201008) ^ [] : [a_select3(_216784, 443 ^ [_216782, _216784], 444 ^ [_216782, _216784]) = a_select3(_216784, 444 ^ [_216782, _216784], 443 ^ [_216782, _216784])]], 455 ^ _201008 : [(456 ^ _201008) ^ [_217539, _217541] : [-(a_select3(inv(_216784), _217541, _217539) = a_select3(inv(_216784), _217539, _217541)), leq(n0, _217541), leq(_217541, _216782), leq(n0, _217539), leq(_217539, _216782)]]], (474 ^ _201008) ^ [_218086, _218088] : [477 ^ _201008 : [(478 ^ _201008) ^ [] : [-(leq(n0, 475 ^ [_218086, _218088]))], (480 ^ _201008) ^ [] : [-(leq(475 ^ [_218086, _218088], _218086))], (482 ^ _201008) ^ [] : [-(leq(n0, 476 ^ [_218086, _218088]))], (484 ^ _201008) ^ [] : [-(leq(476 ^ [_218086, _218088], _218086))], (486 ^ _201008) ^ [] : [a_select3(_218088, 475 ^ [_218086, _218088], 476 ^ [_218086, _218088]) = a_select3(_218088, 476 ^ [_218086, _218088], 475 ^ [_218086, _218088])]], 487 ^ _201008 : [(488 ^ _201008) ^ [_218899, _218901, _218903, _218905] : [-(a_select3(tptp_update3(_218088, _218901, _218901, _218899), _218905, _218903) = a_select3(tptp_update3(_218088, _218901, _218901, _218899), _218903, _218905)), leq(n0, _218905), leq(_218905, _218086), leq(n0, _218903), leq(_218903, _218086), leq(n0, _218901), leq(_218901, _218086)]]], (514 ^ _201008) ^ [_219718, _219720, _219722] : [519 ^ _201008 : [(520 ^ _201008) ^ [] : [-(leq(n0, 517 ^ [_219718, _219720, _219722]))], (522 ^ _201008) ^ [] : [-(leq(517 ^ [_219718, _219720, _219722], _219718))], (524 ^ _201008) ^ [] : [-(leq(n0, 518 ^ [_219718, _219720, _219722]))], (526 ^ _201008) ^ [] : [-(leq(518 ^ [_219718, _219720, _219722], _219718))], (528 ^ _201008) ^ [] : [a_select3(_219722, 517 ^ [_219718, _219720, _219722], 518 ^ [_219718, _219720, _219722]) = a_select3(_219722, 518 ^ [_219718, _219720, _219722], 517 ^ [_219718, _219720, _219722])]], 531 ^ _201008 : [(532 ^ _201008) ^ [] : [-(leq(n0, 529 ^ [_219718, _219720, _219722]))], (534 ^ _201008) ^ [] : [-(leq(529 ^ [_219718, _219720, _219722], _219718))], (536 ^ _201008) ^ [] : [-(leq(n0, 530 ^ [_219718, _219720, _219722]))], (538 ^ _201008) ^ [] : [-(leq(530 ^ [_219718, _219720, _219722], _219718))], (540 ^ _201008) ^ [] : [a_select3(_219720, 529 ^ [_219718, _219720, _219722], 530 ^ [_219718, _219720, _219722]) = a_select3(_219720, 530 ^ [_219718, _219720, _219722], 529 ^ [_219718, _219720, _219722])]], 541 ^ _201008 : [(542 ^ _201008) ^ [_221227, _221229] : [-(a_select3(tptp_madd(_219722, _219720), _221229, _221227) = a_select3(tptp_madd(_219722, _219720), _221227, _221229)), leq(n0, _221229), leq(_221229, _219718), leq(n0, _221227), leq(_221227, _219718)]]], (560 ^ _201008) ^ [_221813, _221815, _221817] : [565 ^ _201008 : [(566 ^ _201008) ^ [] : [-(leq(n0, 563 ^ [_221813, _221815, _221817]))], (568 ^ _201008) ^ [] : [-(leq(563 ^ [_221813, _221815, _221817], _221813))], (570 ^ _201008) ^ [] : [-(leq(n0, 564 ^ [_221813, _221815, _221817]))], (572 ^ _201008) ^ [] : [-(leq(564 ^ [_221813, _221815, _221817], _221813))], (574 ^ _201008) ^ [] : [a_select3(_221817, 563 ^ [_221813, _221815, _221817], 564 ^ [_221813, _221815, _221817]) = a_select3(_221817, 564 ^ [_221813, _221815, _221817], 563 ^ [_221813, _221815, _221817])]], 577 ^ _201008 : [(578 ^ _201008) ^ [] : [-(leq(n0, 575 ^ [_221813, _221815, _221817]))], (580 ^ _201008) ^ [] : [-(leq(575 ^ [_221813, _221815, _221817], _221813))], (582 ^ _201008) ^ [] : [-(leq(n0, 576 ^ [_221813, _221815, _221817]))], (584 ^ _201008) ^ [] : [-(leq(576 ^ [_221813, _221815, _221817], _221813))], (586 ^ _201008) ^ [] : [a_select3(_221815, 575 ^ [_221813, _221815, _221817], 576 ^ [_221813, _221815, _221817]) = a_select3(_221815, 576 ^ [_221813, _221815, _221817], 575 ^ [_221813, _221815, _221817])]], 587 ^ _201008 : [(588 ^ _201008) ^ [_223322, _223324] : [-(a_select3(tptp_msub(_221817, _221815), _223324, _223322) = a_select3(tptp_msub(_221817, _221815), _223322, _223324)), leq(n0, _223324), leq(_223324, _221813), leq(n0, _223322), leq(_223322, _221813)]]], (606 ^ _201008) ^ [_223908, _223910, _223912] : [609 ^ _201008 : [(610 ^ _201008) ^ [] : [-(leq(n0, 607 ^ [_223908, _223910, _223912]))], (612 ^ _201008) ^ [] : [-(leq(607 ^ [_223908, _223910, _223912], _223908))], (614 ^ _201008) ^ [] : [-(leq(n0, 608 ^ [_223908, _223910, _223912]))], (616 ^ _201008) ^ [] : [-(leq(608 ^ [_223908, _223910, _223912], _223908))], (618 ^ _201008) ^ [] : [a_select3(_223910, 607 ^ [_223908, _223910, _223912], 608 ^ [_223908, _223910, _223912]) = a_select3(_223910, 608 ^ [_223908, _223910, _223912], 607 ^ [_223908, _223910, _223912])]], 619 ^ _201008 : [(620 ^ _201008) ^ [_224721, _224723] : [-(a_select3(tptp_mmul(_223912, tptp_mmul(_223910, trans(_223912))), _224723, _224721) = a_select3(tptp_mmul(_223912, tptp_mmul(_223910, trans(_223912))), _224721, _224723)), leq(n0, _224723), leq(_224723, _223908), leq(n0, _224721), leq(_224721, _223908)]]], (638 ^ _201008) ^ [_225340, _225342, _225344, _225346] : [641 ^ _201008 : [(642 ^ _201008) ^ [] : [-(leq(n0, 639 ^ [_225340, _225342, _225344, _225346]))], (644 ^ _201008) ^ [] : [-(leq(639 ^ [_225340, _225342, _225344, _225346], _225340))], (646 ^ _201008) ^ [] : [-(leq(n0, 640 ^ [_225340, _225342, _225344, _225346]))], (648 ^ _201008) ^ [] : [-(leq(640 ^ [_225340, _225342, _225344, _225346], _225340))], (650 ^ _201008) ^ [] : [a_select3(_225344, 639 ^ [_225340, _225342, _225344, _225346], 640 ^ [_225340, _225342, _225344, _225346]) = a_select3(_225344, 640 ^ [_225340, _225342, _225344, _225346], 639 ^ [_225340, _225342, _225344, _225346])]], 651 ^ _201008 : [(652 ^ _201008) ^ [_226197, _226199] : [-(a_select3(tptp_mmul(_225346, tptp_mmul(_225344, trans(_225346))), _226199, _226197) = a_select3(tptp_mmul(_225346, tptp_mmul(_225344, trans(_225346))), _226197, _226199)), leq(n0, _226199), leq(_226199, _225342), leq(n0, _226197), leq(_226197, _225342)]]], (670 ^ _201008) ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906] : [675 ^ _201008 : [(676 ^ _201008) ^ [] : [-(leq(n0, 673 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (678 ^ _201008) ^ [] : [-(leq(673 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226892))], (680 ^ _201008) ^ [] : [-(leq(n0, 674 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (682 ^ _201008) ^ [] : [-(leq(674 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226892))], (684 ^ _201008) ^ [] : [a_select3(_226900, 673 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 674 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]) = a_select3(_226900, 674 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 673 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906])]], 689 ^ _201008 : [(690 ^ _201008) ^ [] : [-(leq(n0, 687 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (692 ^ _201008) ^ [] : [-(leq(687 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226894))], (694 ^ _201008) ^ [] : [-(leq(n0, 688 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (696 ^ _201008) ^ [] : [-(leq(688 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226894))], (698 ^ _201008) ^ [] : [a_select3(_226906, 687 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 688 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]) = a_select3(_226906, 688 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 687 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906])]], 701 ^ _201008 : [(702 ^ _201008) ^ [] : [-(leq(n0, 699 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (704 ^ _201008) ^ [] : [-(leq(699 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226894))], (706 ^ _201008) ^ [] : [-(leq(n0, 700 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]))], (708 ^ _201008) ^ [] : [-(leq(700 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], _226894))], (710 ^ _201008) ^ [] : [a_select3(_226896, 699 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 700 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906]) = a_select3(_226896, 700 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906], 699 ^ [_226892, _226894, _226896, _226898, _226900, _226902, _226904, _226906])]], 711 ^ _201008 : [(712 ^ _201008) ^ [_229820, _229822] : [-(a_select3(tptp_madd(_226906, tptp_mmul(_226904, tptp_mmul(tptp_madd(tptp_mmul(_226902, tptp_mmul(_226900, trans(_226902))), tptp_mmul(_226898, tptp_mmul(_226896, trans(_226898)))), trans(_226904)))), _229822, _229820) = a_select3(tptp_madd(_226906, tptp_mmul(_226904, tptp_mmul(tptp_madd(tptp_mmul(_226902, tptp_mmul(_226900, trans(_226902))), tptp_mmul(_226898, tptp_mmul(_226896, trans(_226898)))), trans(_226904)))), _229820, _229822)), leq(n0, _229822), leq(_229822, _226894), leq(n0, _229820), leq(_229820, _226894)]]], (730 ^ _201008) ^ [_230573] : [-(sum(n0, tptp_minus_1, _230573) = n0)], (732 ^ _201008) ^ [_230655] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230655))], (734 ^ _201008) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _201008) ^ [_230790] : [-(plus(_230790, n1) = succ(_230790))], (738 ^ _201008) ^ [_230873] : [-(plus(n1, _230873) = succ(_230873))], (740 ^ _201008) ^ [_230956] : [-(plus(_230956, n2) = succ(succ(_230956)))], (742 ^ _201008) ^ [_231041] : [-(plus(n2, _231041) = succ(succ(_231041)))], (744 ^ _201008) ^ [_231126] : [-(plus(_231126, n3) = succ(succ(succ(_231126))))], (746 ^ _201008) ^ [_231213] : [-(plus(n3, _231213) = succ(succ(succ(_231213))))], (748 ^ _201008) ^ [_231300] : [-(plus(_231300, n4) = succ(succ(succ(succ(_231300)))))], (750 ^ _201008) ^ [_231389] : [-(plus(n4, _231389) = succ(succ(succ(succ(_231389)))))], (752 ^ _201008) ^ [_231478] : [-(plus(_231478, n5) = succ(succ(succ(succ(succ(_231478))))))], (754 ^ _201008) ^ [_231569] : [-(plus(n5, _231569) = succ(succ(succ(succ(succ(_231569))))))], (756 ^ _201008) ^ [_231660] : [-(minus(_231660, n1) = pred(_231660))], (758 ^ _201008) ^ [_231743] : [-(pred(succ(_231743)) = _231743)], (760 ^ _201008) ^ [_231825] : [-(succ(pred(_231825)) = _231825)], (762 ^ _201008) ^ [_231965, _231967] : [leq(succ(_231967), succ(_231965)), -(leq(_231967, _231965))], (768 ^ _201008) ^ [_232135, _232137] : [leq(_232137, _232135), -(leq(succ(_232137), succ(_232135)))], (774 ^ _201008) ^ [_232355, _232357] : [leq(succ(_232357), _232355), -(gt(_232355, _232357))], (780 ^ _201008) ^ [_232569, _232571] : [leq(minus(_232571, _232569), _232571), -(leq(n0, _232569))], (786 ^ _201008) ^ [_232798, _232800, _232802, _232804] : [-(a_select3(tptp_update3(_232804, _232802, _232800, _232798), _232802, _232800) = _232798)], (788 ^ _201008) ^ [_232990, _232992, _232994, _232996, _232998, _233000, _233002] : [-(a_select3(tptp_update3(_232994, _233002, _233000, _232990), _232998, _232996) = _232992), -(_233002 = _232998), _233000 = _232996, a_select3(_232994, _232998, _232996) = _232992], (802 ^ _201008) ^ [_233533, _233535, _233537, _233539, _233541, _233543] : [-(a_select3(tptp_update3(_233535, _233539, _233537, _233533), _233543, _233541) = _233533), 807 ^ _201008 : [(808 ^ _201008) ^ [] : [-(leq(n0, 805 ^ [_233533, _233535, _233537, _233539, _233541, _233543]))], (810 ^ _201008) ^ [] : [-(leq(n0, 806 ^ [_233533, _233535, _233537, _233539, _233541, _233543]))], (812 ^ _201008) ^ [] : [-(leq(805 ^ [_233533, _233535, _233537, _233539, _233541, _233543], _233539))], (814 ^ _201008) ^ [] : [-(leq(806 ^ [_233533, _233535, _233537, _233539, _233541, _233543], _233537))], (816 ^ _201008) ^ [] : [a_select3(_233535, 805 ^ [_233533, _233535, _233537, _233539, _233541, _233543], 806 ^ [_233533, _233535, _233537, _233539, _233541, _233543]) = _233533]], leq(n0, _233543), leq(_233543, _233539), leq(n0, _233541), leq(_233541, _233537)], (834 ^ _201008) ^ [_234875, _234877, _234879] : [-(a_select2(tptp_update2(_234879, _234877, _234875), _234877) = _234875)], (836 ^ _201008) ^ [_235035, _235037, _235039, _235041, _235043] : [-(a_select2(tptp_update2(_235039, _235043, _235035), _235041) = _235037), -(_235043 = _235041), a_select2(_235039, _235041) = _235037], (865 ^ _201008) ^ [] : [-(true)], (867 ^ _201008) ^ [] : [def = use], (846 ^ _201008) ^ [_235415, _235417, _235419, _235421] : [-(a_select2(tptp_update2(_235417, _235419, _235415), _235421) = _235415), 850 ^ _201008 : [(851 ^ _201008) ^ [] : [-(leq(n0, 849 ^ [_235415, _235417, _235419, _235421]))], (853 ^ _201008) ^ [] : [-(leq(849 ^ [_235415, _235417, _235419, _235421], _235419))], (855 ^ _201008) ^ [] : [a_select2(_235417, 849 ^ [_235415, _235417, _235419, _235421]) = _235415]], leq(n0, _235421), leq(_235421, _235419)]], input).
% 0.33/1.38  ncf('1',plain,[leq(s_best7, n3)],start(1115 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(leq(s_best7, n3)), -(leq(tptp_float_0_001, pv1341))],extension(1061 ^ 1)).
% 0.33/1.38  ncf('1.1.1',plain,[leq(tptp_float_0_001, pv1341)],extension(1041 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------