%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV026+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 12:19:47 EDT 2023

% Result   : Theorem 0.37s 1.39s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV026+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May 19 02:29:45 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.37/1.39  
% 0.37/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.39  %-----------------------------------------------------
% 0.37/1.39  ncf(matrix, plain, [(1165 ^ _239649) ^ [] : [init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 1231 ^ _239649 : [(1232 ^ _239649) ^ [] : [-(leq(n0, 1230 ^ []))], (1234 ^ _239649) ^ [] : [-(leq(1230 ^ [], n2))], (1237 ^ _239649) ^ [] : [-(leq(n0, 1235 ^ []))], (1239 ^ _239649) ^ [] : [-(leq(1235 ^ [], n3))], (1241 ^ _239649) ^ [] : [a_select3(simplex7_init, 1235 ^ [], 1230 ^ []) = init]], 1245 ^ _239649 : [(1246 ^ _239649) ^ [] : [-(leq(n0, 1244 ^ []))], (1248 ^ _239649) ^ [] : [-(leq(1244 ^ [], n3))], (1250 ^ _239649) ^ [] : [a_select2(s_values7_init, 1244 ^ []) = init]], 1254 ^ _239649 : [(1255 ^ _239649) ^ [] : [-(leq(n0, 1253 ^ []))], (1257 ^ _239649) ^ [] : [-(leq(1253 ^ [], n2))], (1259 ^ _239649) ^ [] : [a_select2(s_center7_init, 1253 ^ []) = init]], 1263 ^ _239649 : [(1264 ^ _239649) ^ [] : [-(leq(n0, 1262 ^ []))], (1266 ^ _239649) ^ [] : [-(leq(1262 ^ [], minus(n3, n1)))], (1268 ^ _239649) ^ [] : [a_select2(s_try7_init, 1262 ^ []) = init]], 1269 ^ _239649 : [(1270 ^ _239649) ^ [] : [-(gt(loopcounter, n1))], (1272 ^ _239649) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]], (1071 ^ _239649) ^ [] : [-(init = init)], (1073 ^ _239649) ^ [] : [-(s_best7_init = init)], (1075 ^ _239649) ^ [] : [-(s_sworst7_init = init)], (1077 ^ _239649) ^ [] : [-(s_worst7_init = init)], (1079 ^ _239649) ^ [] : [-(leq(n0, s_best7))], (1081 ^ _239649) ^ [] : [-(leq(n0, s_sworst7))], (1083 ^ _239649) ^ [] : [-(leq(n0, s_worst7))], (1085 ^ _239649) ^ [] : [-(leq(n0, pv9))], (1087 ^ _239649) ^ [] : [-(leq(n0, pv19))], (1089 ^ _239649) ^ [] : [-(leq(n0, pv20))], (1091 ^ _239649) ^ [] : [-(leq(n0, pv1376))], (1093 ^ _239649) ^ [] : [-(leq(s_best7, n3))], (1095 ^ _239649) ^ [] : [-(leq(s_sworst7, n3))], (1097 ^ _239649) ^ [] : [-(leq(s_worst7, n3))], (1099 ^ _239649) ^ [] : [-(leq(pv9, minus(n410, n1)))], (1101 ^ _239649) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1103 ^ _239649) ^ [] : [-(leq(pv20, minus(n330, n1)))], (1105 ^ _239649) ^ [] : [-(leq(pv1376, n3))], (1107 ^ _239649) ^ [_281375] : [leq(n0, _281375), leq(_281375, n2), 1114 ^ _239649 : [(1115 ^ _239649) ^ [_281603] : [-(a_select3(simplex7_init, _281603, _281375) = init), leq(n0, _281603), leq(_281603, n3)]]], (1125 ^ _239649) ^ [_281905] : [-(a_select2(s_values7_init, _281905) = init), leq(n0, _281905), leq(_281905, n3)], (1135 ^ _239649) ^ [_282186] : [-(a_select2(s_center7_init, _282186) = init), leq(n0, _282186), leq(_282186, n2)], (1155 ^ _239649) ^ [] : [gt(loopcounter, n1), 1158 ^ _239649 : [(1159 ^ _239649) ^ [] : [-(pvar1400_init = init)], (1161 ^ _239649) ^ [] : [-(pvar1401_init = init)], (1163 ^ _239649) ^ [] : [-(pvar1402_init = init)]]], (1145 ^ _239649) ^ [_282467] : [-(a_select2(s_try7_init, _282467) = init), leq(n0, _282467), leq(_282467, minus(n3, n1))], (2 ^ _239649) ^ [_239793] : [-(_239793 = _239793)], (4 ^ _239649) ^ [_239900, _239902] : [_239902 = _239900, -(_239900 = _239902)], (10 ^ _239649) ^ [_240104, _240106, _240108] : [-(_240108 = _240104), _240108 = _240106, _240106 = _240104], (20 ^ _239649) ^ [_240445, _240447, _240449, _240451] : [-(lt(_240449, _240445)), lt(_240451, _240447), _240451 = _240449, _240447 = _240445], (34 ^ _239649) ^ [_240889, _240891, _240893, _240895] : [-(geq(_240893, _240889)), geq(_240895, _240891), _240895 = _240893, _240891 = _240889], (48 ^ _239649) ^ [_241333, _241335, _241337, _241339] : [-(leq(_241337, _241333)), leq(_241339, _241335), _241339 = _241337, _241335 = _241333], (62 ^ _239649) ^ [_241757, _241759, _241761, _241763] : [-(gt(_241761, _241757)), gt(_241763, _241759), _241763 = _241761, _241759 = _241757], (76 ^ _239649) ^ [_242213, _242215, _242217, _242219] : [-(uniform_int_rnd(_242219, _242215) = uniform_int_rnd(_242217, _242213)), _242219 = _242217, _242215 = _242213], (86 ^ _239649) ^ [_242572, _242574, _242576, _242578] : [-(tptp_const_array1(_242578, _242574) = tptp_const_array1(_242576, _242572)), _242578 = _242576, _242574 = _242572], (96 ^ _239649) ^ [_242959, _242961, _242963, _242965, _242967, _242969] : [-(tptp_const_array2(_242969, _242965, _242961) = tptp_const_array2(_242967, _242963, _242959)), _242969 = _242967, _242965 = _242963, _242961 = _242959], (110 ^ _239649) ^ [_243447, _243449, _243451, _243453] : [-(dim(_243453, _243449) = dim(_243451, _243447)), _243453 = _243451, _243449 = _243447], (120 ^ _239649) ^ [_243778, _243780] : [_243780 = _243778, -(inv(_243780) = inv(_243778))], (126 ^ _239649) ^ [_244024, _244026, _244028, _244030] : [-(tptp_msub(_244030, _244026) = tptp_msub(_244028, _244024)), _244030 = _244028, _244026 = _244024], (136 ^ _239649) ^ [_244383, _244385, _244387, _244389] : [-(tptp_madd(_244389, _244385) = tptp_madd(_244387, _244383)), _244389 = _244387, _244385 = _244383], (146 ^ _239649) ^ [_244742, _244744, _244746, _244748] : [-(tptp_mmul(_244748, _244744) = tptp_mmul(_244746, _244742)), _244748 = _244746, _244744 = _244742], (156 ^ _239649) ^ [_245073, _245075] : [_245075 = _245073, -(trans(_245075) = trans(_245073))], (162 ^ _239649) ^ [_245347, _245349, _245351, _245353, _245355, _245357] : [-(sum(_245357, _245353, _245349) = sum(_245355, _245351, _245347)), _245357 = _245355, _245353 = _245351, _245349 = _245347], (176 ^ _239649) ^ [_245835, _245837, _245839, _245841] : [-(plus(_245841, _245837) = plus(_245839, _245835)), _245841 = _245839, _245837 = _245835], (186 ^ _239649) ^ [_246166, _246168] : [_246168 = _246166, -(pred(_246168) = pred(_246166))], (192 ^ _239649) ^ [_246468, _246470, _246472, _246474, _246476, _246478, _246480, _246482] : [-(tptp_update3(_246482, _246478, _246474, _246470) = tptp_update3(_246480, _246476, _246472, _246468)), _246482 = _246480, _246478 = _246476, _246474 = _246472, _246470 = _246468], (210 ^ _239649) ^ [_247129, _247131, _247133, _247135, _247137, _247139] : [-(tptp_update2(_247139, _247135, _247131) = tptp_update2(_247137, _247133, _247129)), _247139 = _247137, _247135 = _247133, _247131 = _247129], (224 ^ _239649) ^ [_247589, _247591] : [_247591 = _247589, -(succ(_247591) = succ(_247589))], (230 ^ _239649) ^ [_247863, _247865, _247867, _247869, _247871, _247873] : [-(a_select3(_247873, _247869, _247865) = a_select3(_247871, _247867, _247863)), _247873 = _247871, _247869 = _247867, _247865 = _247863], (244 ^ _239649) ^ [_248351, _248353, _248355, _248357] : [-(minus(_248357, _248353) = minus(_248355, _248351)), _248357 = _248355, _248353 = _248351], (254 ^ _239649) ^ [_248690, _248692, _248694, _248696] : [-(a_select2(_248696, _248692) = a_select2(_248694, _248690)), _248696 = _248694, _248692 = _248690], (869 ^ _239649) ^ [] : [-(gt(n5, n4))], (871 ^ _239649) ^ [] : [-(gt(n330, n4))], (873 ^ _239649) ^ [] : [-(gt(n410, n4))], (875 ^ _239649) ^ [] : [-(gt(n330, n5))], (877 ^ _239649) ^ [] : [-(gt(n410, n5))], (879 ^ _239649) ^ [] : [-(gt(n410, n330))], (881 ^ _239649) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _239649) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _239649) ^ [] : [-(gt(n330, tptp_minus_1))], (887 ^ _239649) ^ [] : [-(gt(n410, tptp_minus_1))], (889 ^ _239649) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _239649) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _239649) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _239649) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _239649) ^ [] : [-(gt(n4, n0))], (899 ^ _239649) ^ [] : [-(gt(n5, n0))], (901 ^ _239649) ^ [] : [-(gt(n330, n0))], (903 ^ _239649) ^ [] : [-(gt(n410, n0))], (905 ^ _239649) ^ [] : [-(gt(n1, n0))], (907 ^ _239649) ^ [] : [-(gt(n2, n0))], (909 ^ _239649) ^ [] : [-(gt(n3, n0))], (911 ^ _239649) ^ [] : [-(gt(n4, n1))], (913 ^ _239649) ^ [] : [-(gt(n5, n1))], (915 ^ _239649) ^ [] : [-(gt(n330, n1))], (917 ^ _239649) ^ [] : [-(gt(n410, n1))], (919 ^ _239649) ^ [] : [-(gt(n2, n1))], (921 ^ _239649) ^ [] : [-(gt(n3, n1))], (923 ^ _239649) ^ [] : [-(gt(n4, n2))], (925 ^ _239649) ^ [] : [-(gt(n5, n2))], (927 ^ _239649) ^ [] : [-(gt(n330, n2))], (929 ^ _239649) ^ [] : [-(gt(n410, n2))], (931 ^ _239649) ^ [] : [-(gt(n3, n2))], (933 ^ _239649) ^ [] : [-(gt(n4, n3))], (935 ^ _239649) ^ [] : [-(gt(n5, n3))], (937 ^ _239649) ^ [] : [-(gt(n330, n3))], (939 ^ _239649) ^ [] : [-(gt(n410, n3))], (941 ^ _239649) ^ [_276954] : [leq(n0, _276954), leq(_276954, n4), -(_276954 = n0), -(_276954 = n1), -(_276954 = n2), -(_276954 = n3), -(_276954 = n4)], (967 ^ _239649) ^ [_277575] : [leq(n0, _277575), leq(_277575, n5), -(_277575 = n0), -(_277575 = n1), -(_277575 = n2), -(_277575 = n3), -(_277575 = n4), -(_277575 = n5)], (997 ^ _239649) ^ [_278282] : [-(_278282 = n0), leq(n0, _278282), leq(_278282, n0)], (1007 ^ _239649) ^ [_278557] : [leq(n0, _278557), leq(_278557, n1), -(_278557 = n0), -(_278557 = n1)], (1021 ^ _239649) ^ [_278920] : [leq(n0, _278920), leq(_278920, n2), -(_278920 = n0), -(_278920 = n1), -(_278920 = n2)], (1061 ^ _239649) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1063 ^ _239649) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1065 ^ _239649) ^ [] : [-(succ(n0) = n1)], (1067 ^ _239649) ^ [] : [-(succ(succ(n0)) = n2)], (1069 ^ _239649) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1039 ^ _239649) ^ [_279369] : [leq(n0, _279369), leq(_279369, n3), -(_279369 = n0), -(_279369 = n1), -(_279369 = n2), -(_279369 = n3)], (264 ^ _239649) ^ [_249121, _249123] : [-(gt(_249123, _249121)), -(gt(_249121, _249123)), -(_249123 = _249121)], (274 ^ _239649) ^ [_249436, _249438, _249440] : [-(gt(_249440, _249436)), gt(_249440, _249438), gt(_249438, _249436)], (284 ^ _239649) ^ [_249715] : [gt(_249715, _249715)], (286 ^ _239649) ^ [_249793] : [-(leq(_249793, _249793))], (288 ^ _239649) ^ [_249914, _249916, _249918] : [-(leq(_249918, _249914)), leq(_249918, _249916), leq(_249916, _249914)], (298 ^ _239649) ^ [_250252, _250254] : [lt(_250254, _250252), -(gt(_250252, _250254))], (304 ^ _239649) ^ [_250414, _250416] : [gt(_250414, _250416), -(lt(_250416, _250414))], (310 ^ _239649) ^ [_250655, _250657] : [geq(_250657, _250655), -(leq(_250655, _250657))], (316 ^ _239649) ^ [_250817, _250819] : [leq(_250817, _250819), -(geq(_250819, _250817))], (322 ^ _239649) ^ [_251029, _251031] : [gt(_251029, _251031), -(leq(_251031, _251029))], (328 ^ _239649) ^ [_251239, _251241] : [-(gt(_251239, _251241)), leq(_251241, _251239), -(_251241 = _251239)], (338 ^ _239649) ^ [_251570, _251572] : [leq(_251572, pred(_251570)), -(gt(_251570, _251572))], (344 ^ _239649) ^ [_251736, _251738] : [gt(_251736, _251738), -(leq(_251738, pred(_251736)))], (350 ^ _239649) ^ [_251923] : [-(gt(succ(_251923), _251923))], (352 ^ _239649) ^ [_252032, _252034] : [leq(_252034, _252032), -(leq(_252034, succ(_252032)))], (358 ^ _239649) ^ [_252275, _252277] : [leq(_252277, _252275), -(gt(succ(_252275), _252277))], (364 ^ _239649) ^ [_252441, _252443] : [gt(succ(_252441), _252443), -(leq(_252443, _252441))], (370 ^ _239649) ^ [_252657, _252659] : [leq(n0, _252659), -(leq(uniform_int_rnd(_252657, _252659), _252659))], (376 ^ _239649) ^ [_252873, _252875] : [leq(n0, _252875), -(leq(n0, uniform_int_rnd(_252873, _252875)))], (382 ^ _239649) ^ [_253117, _253119, _253121, _253123] : [-(a_select2(tptp_const_array1(dim(_253121, _253119), _253117), _253123) = _253117), leq(_253121, _253123), leq(_253123, _253119)], (392 ^ _239649) ^ [_253524, _253526, _253528, _253530, _253532, _253534, _253536] : [-(a_select3(tptp_const_array2(dim(_253534, _253532), dim(_253528, _253526), _253524), _253536, _253530) = _253524), leq(_253534, _253536), leq(_253536, _253532), leq(_253528, _253530), leq(_253530, _253526)], (410 ^ _239649) ^ [_254119, _254121] : [413 ^ _239649 : [(414 ^ _239649) ^ [] : [-(leq(n0, 411 ^ [_254119, _254121]))], (416 ^ _239649) ^ [] : [-(leq(411 ^ [_254119, _254121], _254119))], (418 ^ _239649) ^ [] : [-(leq(n0, 412 ^ [_254119, _254121]))], (420 ^ _239649) ^ [] : [-(leq(412 ^ [_254119, _254121], _254119))], (422 ^ _239649) ^ [] : [a_select3(_254121, 411 ^ [_254119, _254121], 412 ^ [_254119, _254121]) = a_select3(_254121, 412 ^ [_254119, _254121], 411 ^ [_254119, _254121])]], 423 ^ _239649 : [(424 ^ _239649) ^ [_254876, _254878] : [-(a_select3(trans(_254121), _254878, _254876) = a_select3(trans(_254121), _254876, _254878)), leq(n0, _254878), leq(_254878, _254119), leq(n0, _254876), leq(_254876, _254119)]]], (442 ^ _239649) ^ [_255423, _255425] : [445 ^ _239649 : [(446 ^ _239649) ^ [] : [-(leq(n0, 443 ^ [_255423, _255425]))], (448 ^ _239649) ^ [] : [-(leq(443 ^ [_255423, _255425], _255423))], (450 ^ _239649) ^ [] : [-(leq(n0, 444 ^ [_255423, _255425]))], (452 ^ _239649) ^ [] : [-(leq(444 ^ [_255423, _255425], _255423))], (454 ^ _239649) ^ [] : [a_select3(_255425, 443 ^ [_255423, _255425], 444 ^ [_255423, _255425]) = a_select3(_255425, 444 ^ [_255423, _255425], 443 ^ [_255423, _255425])]], 455 ^ _239649 : [(456 ^ _239649) ^ [_256180, _256182] : [-(a_select3(inv(_255425), _256182, _256180) = a_select3(inv(_255425), _256180, _256182)), leq(n0, _256182), leq(_256182, _255423), leq(n0, _256180), leq(_256180, _255423)]]], (474 ^ _239649) ^ [_256727, _256729] : [477 ^ _239649 : [(478 ^ _239649) ^ [] : [-(leq(n0, 475 ^ [_256727, _256729]))], (480 ^ _239649) ^ [] : [-(leq(475 ^ [_256727, _256729], _256727))], (482 ^ _239649) ^ [] : [-(leq(n0, 476 ^ [_256727, _256729]))], (484 ^ _239649) ^ [] : [-(leq(476 ^ [_256727, _256729], _256727))], (486 ^ _239649) ^ [] : [a_select3(_256729, 475 ^ [_256727, _256729], 476 ^ [_256727, _256729]) = a_select3(_256729, 476 ^ [_256727, _256729], 475 ^ [_256727, _256729])]], 487 ^ _239649 : [(488 ^ _239649) ^ [_257540, _257542, _257544, _257546] : [-(a_select3(tptp_update3(_256729, _257542, _257542, _257540), _257546, _257544) = a_select3(tptp_update3(_256729, _257542, _257542, _257540), _257544, _257546)), leq(n0, _257546), leq(_257546, _256727), leq(n0, _257544), leq(_257544, _256727), leq(n0, _257542), leq(_257542, _256727)]]], (514 ^ _239649) ^ [_258359, _258361, _258363] : [519 ^ _239649 : [(520 ^ _239649) ^ [] : [-(leq(n0, 517 ^ [_258359, _258361, _258363]))], (522 ^ _239649) ^ [] : [-(leq(517 ^ [_258359, _258361, _258363], _258359))], (524 ^ _239649) ^ [] : [-(leq(n0, 518 ^ [_258359, _258361, _258363]))], (526 ^ _239649) ^ [] : [-(leq(518 ^ [_258359, _258361, _258363], _258359))], (528 ^ _239649) ^ [] : [a_select3(_258363, 517 ^ [_258359, _258361, _258363], 518 ^ [_258359, _258361, _258363]) = a_select3(_258363, 518 ^ [_258359, _258361, _258363], 517 ^ [_258359, _258361, _258363])]], 531 ^ _239649 : [(532 ^ _239649) ^ [] : [-(leq(n0, 529 ^ [_258359, _258361, _258363]))], (534 ^ _239649) ^ [] : [-(leq(529 ^ [_258359, _258361, _258363], _258359))], (536 ^ _239649) ^ [] : [-(leq(n0, 530 ^ [_258359, _258361, _258363]))], (538 ^ _239649) ^ [] : [-(leq(530 ^ [_258359, _258361, _258363], _258359))], (540 ^ _239649) ^ [] : [a_select3(_258361, 529 ^ [_258359, _258361, _258363], 530 ^ [_258359, _258361, _258363]) = a_select3(_258361, 530 ^ [_258359, _258361, _258363], 529 ^ [_258359, _258361, _258363])]], 541 ^ _239649 : [(542 ^ _239649) ^ [_259868, _259870] : [-(a_select3(tptp_madd(_258363, _258361), _259870, _259868) = a_select3(tptp_madd(_258363, _258361), _259868, _259870)), leq(n0, _259870), leq(_259870, _258359), leq(n0, _259868), leq(_259868, _258359)]]], (560 ^ _239649) ^ [_260454, _260456, _260458] : [565 ^ _239649 : [(566 ^ _239649) ^ [] : [-(leq(n0, 563 ^ [_260454, _260456, _260458]))], (568 ^ _239649) ^ [] : [-(leq(563 ^ [_260454, _260456, _260458], _260454))], (570 ^ _239649) ^ [] : [-(leq(n0, 564 ^ [_260454, _260456, _260458]))], (572 ^ _239649) ^ [] : [-(leq(564 ^ [_260454, _260456, _260458], _260454))], (574 ^ _239649) ^ [] : [a_select3(_260458, 563 ^ [_260454, _260456, _260458], 564 ^ [_260454, _260456, _260458]) = a_select3(_260458, 564 ^ [_260454, _260456, _260458], 563 ^ [_260454, _260456, _260458])]], 577 ^ _239649 : [(578 ^ _239649) ^ [] : [-(leq(n0, 575 ^ [_260454, _260456, _260458]))], (580 ^ _239649) ^ [] : [-(leq(575 ^ [_260454, _260456, _260458], _260454))], (582 ^ _239649) ^ [] : [-(leq(n0, 576 ^ [_260454, _260456, _260458]))], (584 ^ _239649) ^ [] : [-(leq(576 ^ [_260454, _260456, _260458], _260454))], (586 ^ _239649) ^ [] : [a_select3(_260456, 575 ^ [_260454, _260456, _260458], 576 ^ [_260454, _260456, _260458]) = a_select3(_260456, 576 ^ [_260454, _260456, _260458], 575 ^ [_260454, _260456, _260458])]], 587 ^ _239649 : [(588 ^ _239649) ^ [_261963, _261965] : [-(a_select3(tptp_msub(_260458, _260456), _261965, _261963) = a_select3(tptp_msub(_260458, _260456), _261963, _261965)), leq(n0, _261965), leq(_261965, _260454), leq(n0, _261963), leq(_261963, _260454)]]], (606 ^ _239649) ^ [_262549, _262551, _262553] : [609 ^ _239649 : [(610 ^ _239649) ^ [] : [-(leq(n0, 607 ^ [_262549, _262551, _262553]))], (612 ^ _239649) ^ [] : [-(leq(607 ^ [_262549, _262551, _262553], _262549))], (614 ^ _239649) ^ [] : [-(leq(n0, 608 ^ [_262549, _262551, _262553]))], (616 ^ _239649) ^ [] : [-(leq(608 ^ [_262549, _262551, _262553], _262549))], (618 ^ _239649) ^ [] : [a_select3(_262551, 607 ^ [_262549, _262551, _262553], 608 ^ [_262549, _262551, _262553]) = a_select3(_262551, 608 ^ [_262549, _262551, _262553], 607 ^ [_262549, _262551, _262553])]], 619 ^ _239649 : [(620 ^ _239649) ^ [_263362, _263364] : [-(a_select3(tptp_mmul(_262553, tptp_mmul(_262551, trans(_262553))), _263364, _263362) = a_select3(tptp_mmul(_262553, tptp_mmul(_262551, trans(_262553))), _263362, _263364)), leq(n0, _263364), leq(_263364, _262549), leq(n0, _263362), leq(_263362, _262549)]]], (638 ^ _239649) ^ [_263981, _263983, _263985, _263987] : [641 ^ _239649 : [(642 ^ _239649) ^ [] : [-(leq(n0, 639 ^ [_263981, _263983, _263985, _263987]))], (644 ^ _239649) ^ [] : [-(leq(639 ^ [_263981, _263983, _263985, _263987], _263981))], (646 ^ _239649) ^ [] : [-(leq(n0, 640 ^ [_263981, _263983, _263985, _263987]))], (648 ^ _239649) ^ [] : [-(leq(640 ^ [_263981, _263983, _263985, _263987], _263981))], (650 ^ _239649) ^ [] : [a_select3(_263985, 639 ^ [_263981, _263983, _263985, _263987], 640 ^ [_263981, _263983, _263985, _263987]) = a_select3(_263985, 640 ^ [_263981, _263983, _263985, _263987], 639 ^ [_263981, _263983, _263985, _263987])]], 651 ^ _239649 : [(652 ^ _239649) ^ [_264838, _264840] : [-(a_select3(tptp_mmul(_263987, tptp_mmul(_263985, trans(_263987))), _264840, _264838) = a_select3(tptp_mmul(_263987, tptp_mmul(_263985, trans(_263987))), _264838, _264840)), leq(n0, _264840), leq(_264840, _263983), leq(n0, _264838), leq(_264838, _263983)]]], (670 ^ _239649) ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547] : [675 ^ _239649 : [(676 ^ _239649) ^ [] : [-(leq(n0, 673 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (678 ^ _239649) ^ [] : [-(leq(673 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265533))], (680 ^ _239649) ^ [] : [-(leq(n0, 674 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (682 ^ _239649) ^ [] : [-(leq(674 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265533))], (684 ^ _239649) ^ [] : [a_select3(_265541, 673 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 674 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]) = a_select3(_265541, 674 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 673 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547])]], 689 ^ _239649 : [(690 ^ _239649) ^ [] : [-(leq(n0, 687 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (692 ^ _239649) ^ [] : [-(leq(687 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265535))], (694 ^ _239649) ^ [] : [-(leq(n0, 688 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (696 ^ _239649) ^ [] : [-(leq(688 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265535))], (698 ^ _239649) ^ [] : [a_select3(_265547, 687 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 688 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]) = a_select3(_265547, 688 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 687 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547])]], 701 ^ _239649 : [(702 ^ _239649) ^ [] : [-(leq(n0, 699 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (704 ^ _239649) ^ [] : [-(leq(699 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265535))], (706 ^ _239649) ^ [] : [-(leq(n0, 700 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]))], (708 ^ _239649) ^ [] : [-(leq(700 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], _265535))], (710 ^ _239649) ^ [] : [a_select3(_265537, 699 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 700 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547]) = a_select3(_265537, 700 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547], 699 ^ [_265533, _265535, _265537, _265539, _265541, _265543, _265545, _265547])]], 711 ^ _239649 : [(712 ^ _239649) ^ [_268461, _268463] : [-(a_select3(tptp_madd(_265547, tptp_mmul(_265545, tptp_mmul(tptp_madd(tptp_mmul(_265543, tptp_mmul(_265541, trans(_265543))), tptp_mmul(_265539, tptp_mmul(_265537, trans(_265539)))), trans(_265545)))), _268463, _268461) = a_select3(tptp_madd(_265547, tptp_mmul(_265545, tptp_mmul(tptp_madd(tptp_mmul(_265543, tptp_mmul(_265541, trans(_265543))), tptp_mmul(_265539, tptp_mmul(_265537, trans(_265539)))), trans(_265545)))), _268461, _268463)), leq(n0, _268463), leq(_268463, _265535), leq(n0, _268461), leq(_268461, _265535)]]], (730 ^ _239649) ^ [_269214] : [-(sum(n0, tptp_minus_1, _269214) = n0)], (732 ^ _239649) ^ [_269296] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _269296))], (734 ^ _239649) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _239649) ^ [_269431] : [-(plus(_269431, n1) = succ(_269431))], (738 ^ _239649) ^ [_269514] : [-(plus(n1, _269514) = succ(_269514))], (740 ^ _239649) ^ [_269597] : [-(plus(_269597, n2) = succ(succ(_269597)))], (742 ^ _239649) ^ [_269682] : [-(plus(n2, _269682) = succ(succ(_269682)))], (744 ^ _239649) ^ [_269767] : [-(plus(_269767, n3) = succ(succ(succ(_269767))))], (746 ^ _239649) ^ [_269854] : [-(plus(n3, _269854) = succ(succ(succ(_269854))))], (748 ^ _239649) ^ [_269941] : [-(plus(_269941, n4) = succ(succ(succ(succ(_269941)))))], (750 ^ _239649) ^ [_270030] : [-(plus(n4, _270030) = succ(succ(succ(succ(_270030)))))], (752 ^ _239649) ^ [_270119] : [-(plus(_270119, n5) = succ(succ(succ(succ(succ(_270119))))))], (754 ^ _239649) ^ [_270210] : [-(plus(n5, _270210) = succ(succ(succ(succ(succ(_270210))))))], (756 ^ _239649) ^ [_270301] : [-(minus(_270301, n1) = pred(_270301))], (758 ^ _239649) ^ [_270384] : [-(pred(succ(_270384)) = _270384)], (760 ^ _239649) ^ [_270466] : [-(succ(pred(_270466)) = _270466)], (762 ^ _239649) ^ [_270606, _270608] : [leq(succ(_270608), succ(_270606)), -(leq(_270608, _270606))], (768 ^ _239649) ^ [_270776, _270778] : [leq(_270778, _270776), -(leq(succ(_270778), succ(_270776)))], (774 ^ _239649) ^ [_270996, _270998] : [leq(succ(_270998), _270996), -(gt(_270996, _270998))], (780 ^ _239649) ^ [_271210, _271212] : [leq(minus(_271212, _271210), _271212), -(leq(n0, _271210))], (786 ^ _239649) ^ [_271439, _271441, _271443, _271445] : [-(a_select3(tptp_update3(_271445, _271443, _271441, _271439), _271443, _271441) = _271439)], (788 ^ _239649) ^ [_271631, _271633, _271635, _271637, _271639, _271641, _271643] : [-(a_select3(tptp_update3(_271635, _271643, _271641, _271631), _271639, _271637) = _271633), -(_271643 = _271639), _271641 = _271637, a_select3(_271635, _271639, _271637) = _271633], (802 ^ _239649) ^ [_272174, _272176, _272178, _272180, _272182, _272184] : [-(a_select3(tptp_update3(_272176, _272180, _272178, _272174), _272184, _272182) = _272174), 807 ^ _239649 : [(808 ^ _239649) ^ [] : [-(leq(n0, 805 ^ [_272174, _272176, _272178, _272180, _272182, _272184]))], (810 ^ _239649) ^ [] : [-(leq(n0, 806 ^ [_272174, _272176, _272178, _272180, _272182, _272184]))], (812 ^ _239649) ^ [] : [-(leq(805 ^ [_272174, _272176, _272178, _272180, _272182, _272184], _272180))], (814 ^ _239649) ^ [] : [-(leq(806 ^ [_272174, _272176, _272178, _272180, _272182, _272184], _272178))], (816 ^ _239649) ^ [] : [a_select3(_272176, 805 ^ [_272174, _272176, _272178, _272180, _272182, _272184], 806 ^ [_272174, _272176, _272178, _272180, _272182, _272184]) = _272174]], leq(n0, _272184), leq(_272184, _272180), leq(n0, _272182), leq(_272182, _272178)], (834 ^ _239649) ^ [_273516, _273518, _273520] : [-(a_select2(tptp_update2(_273520, _273518, _273516), _273518) = _273516)], (836 ^ _239649) ^ [_273676, _273678, _273680, _273682, _273684] : [-(a_select2(tptp_update2(_273680, _273684, _273676), _273682) = _273678), -(_273684 = _273682), a_select2(_273680, _273682) = _273678], (865 ^ _239649) ^ [] : [-(true)], (867 ^ _239649) ^ [] : [def = use], (846 ^ _239649) ^ [_274056, _274058, _274060, _274062] : [-(a_select2(tptp_update2(_274058, _274060, _274056), _274062) = _274056), 850 ^ _239649 : [(851 ^ _239649) ^ [] : [-(leq(n0, 849 ^ [_274056, _274058, _274060, _274062]))], (853 ^ _239649) ^ [] : [-(leq(849 ^ [_274056, _274058, _274060, _274062], _274060))], (855 ^ _239649) ^ [] : [a_select2(_274058, 849 ^ [_274056, _274058, _274060, _274062]) = _274056]], leq(n0, _274062), leq(_274062, _274060)]], input).
% 0.37/1.39  ncf('1',plain,[init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 1241 : a_select3(simplex7_init, 1235 ^ [], 1230 ^ []) = init, 1250 : a_select2(s_values7_init, 1244 ^ []) = init, 1259 : a_select2(s_center7_init, 1253 ^ []) = init, 1268 : a_select2(s_try7_init, 1262 ^ []) = init, 1272 : pvar1400_init = init, 1272 : pvar1401_init = init, 1272 : pvar1402_init = init],start(1165 ^ 0)).
% 0.37/1.39  ncf('1.1',plain,[-(init = init)],extension(1071 ^ 1)).
% 0.37/1.39  ncf('1.2',plain,[-(s_best7_init = init)],extension(1073 ^ 1)).
% 0.37/1.39  ncf('1.3',plain,[-(s_sworst7_init = init)],extension(1075 ^ 1)).
% 0.37/1.39  ncf('1.4',plain,[-(s_worst7_init = init)],extension(1077 ^ 1)).
% 0.37/1.39  ncf('1.5',plain,[-(leq(n0, s_best7))],extension(1079 ^ 1)).
% 0.37/1.39  ncf('1.6',plain,[-(leq(n0, s_sworst7))],extension(1081 ^ 1)).
% 0.37/1.39  ncf('1.7',plain,[-(leq(n0, s_worst7))],extension(1083 ^ 1)).
% 0.37/1.39  ncf('1.8',plain,[-(leq(n0, pv19))],extension(1087 ^ 1)).
% 0.37/1.39  ncf('1.9',plain,[-(leq(n0, pv20))],extension(1089 ^ 1)).
% 0.37/1.39  ncf('1.10',plain,[-(leq(n0, pv1376))],extension(1091 ^ 1)).
% 0.37/1.39  ncf('1.11',plain,[-(leq(s_best7, n3))],extension(1093 ^ 1)).
% 0.37/1.39  ncf('1.12',plain,[-(leq(s_sworst7, n3))],extension(1095 ^ 1)).
% 0.37/1.39  ncf('1.13',plain,[-(leq(s_worst7, n3))],extension(1097 ^ 1)).
% 0.37/1.39  ncf('1.14',plain,[-(leq(pv19, minus(n410, n1)))],extension(1101 ^ 1)).
% 0.37/1.39  ncf('1.15',plain,[-(leq(pv20, minus(n330, n1)))],extension(1103 ^ 1)).
% 0.37/1.39  ncf('1.16',plain,[-(leq(pv1376, n3))],extension(1105 ^ 1)).
% 0.37/1.39  ncf('1.17',plain,[-(a_select3(simplex7_init, 1235 ^ [], 1230 ^ []) = init), 1115 : leq(n0, 1235 ^ []), 1115 : leq(1235 ^ [], n3), 1115 : leq(n0, 1230 ^ []), 1115 : leq(1230 ^ [], n2)],extension(1107 ^ 3,bind([[_281375, _281603], [1230 ^ [], 1235 ^ []]]))).
% 0.37/1.39  ncf('1.17.1',plain,[-(leq(n0, 1235 ^ []))],extension(1237 ^ 6)).
% 0.37/1.39  ncf('1.17.2',plain,[-(leq(1235 ^ [], n3))],extension(1239 ^ 6)).
% 0.37/1.39  ncf('1.17.3',plain,[-(leq(n0, 1230 ^ []))],extension(1232 ^ 4)).
% 0.37/1.39  ncf('1.17.4',plain,[-(leq(1230 ^ [], n2))],extension(1234 ^ 4)).
% 0.37/1.39  ncf('1.18',plain,[-(a_select2(s_values7_init, 1244 ^ []) = init), leq(n0, 1244 ^ []), leq(1244 ^ [], n3)],extension(1125 ^ 3,bind([[_281905], [1244 ^ []]]))).
% 0.37/1.39  ncf('1.18.1',plain,[-(leq(n0, 1244 ^ []))],extension(1246 ^ 4)).
% 0.37/1.39  ncf('1.18.2',plain,[-(leq(1244 ^ [], n3))],extension(1248 ^ 4)).
% 0.37/1.39  ncf('1.19',plain,[-(a_select2(s_center7_init, 1253 ^ []) = init), leq(n0, 1253 ^ []), leq(1253 ^ [], n2)],extension(1135 ^ 3,bind([[_282186], [1253 ^ []]]))).
% 0.37/1.39  ncf('1.19.1',plain,[-(leq(n0, 1253 ^ []))],extension(1255 ^ 4)).
% 0.37/1.39  ncf('1.19.2',plain,[-(leq(1253 ^ [], n2))],extension(1257 ^ 4)).
% 0.37/1.39  ncf('1.20',plain,[-(a_select2(s_try7_init, 1262 ^ []) = init), leq(n0, 1262 ^ []), leq(1262 ^ [], minus(n3, n1))],extension(1145 ^ 3,bind([[_282467], [1262 ^ []]]))).
% 0.37/1.39  ncf('1.20.1',plain,[-(leq(n0, 1262 ^ []))],extension(1264 ^ 4)).
% 0.37/1.39  ncf('1.20.2',plain,[-(leq(1262 ^ [], minus(n3, n1)))],extension(1266 ^ 4)).
% 0.37/1.39  ncf('1.21',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1155 ^ 3)).
% 0.37/1.39  ncf('1.21.1',plain,[-(gt(loopcounter, n1))],extension(1270 ^ 4)).
% 0.37/1.39  ncf('1.22',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1155 ^ 3)).
% 0.37/1.39  ncf('1.22.1',plain,[-(gt(loopcounter, n1))],extension(1270 ^ 4)).
% 0.37/1.39  ncf('1.23',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1155 ^ 3)).
% 0.37/1.39  ncf('1.23.1',plain,[-(gt(loopcounter, n1))],extension(1270 ^ 4)).
% 0.37/1.39  %-----------------------------------------------------
% 0.37/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------