%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 12:19:48 EDT 2023

% Result   : Theorem 0.35s 1.38s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV034+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n020.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 02:50:17 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.35/1.38  
% 0.35/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  ncf(matrix, plain, [(1135 ^ _232327) ^ [] : [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(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), 1185 ^ _232327 : [(1186 ^ _232327) ^ [] : [-(leq(n0, 1184 ^ []))], (1188 ^ _232327) ^ [] : [-(leq(1184 ^ [], n2))], (1191 ^ _232327) ^ [] : [-(leq(n0, 1189 ^ []))], (1193 ^ _232327) ^ [] : [-(leq(1189 ^ [], n3))], (1195 ^ _232327) ^ [] : [a_select3(simplex7_init, 1189 ^ [], 1184 ^ []) = init]], 1199 ^ _232327 : [(1200 ^ _232327) ^ [] : [-(leq(n0, 1198 ^ []))], (1202 ^ _232327) ^ [] : [-(leq(1198 ^ [], n3))], (1204 ^ _232327) ^ [] : [a_select2(s_values7_init, 1198 ^ []) = init]], 1208 ^ _232327 : [(1209 ^ _232327) ^ [] : [-(leq(n0, 1207 ^ []))], (1211 ^ _232327) ^ [] : [-(leq(1207 ^ [], n2))], (1213 ^ _232327) ^ [] : [a_select2(s_center7_init, 1207 ^ []) = init]], 1217 ^ _232327 : [(1218 ^ _232327) ^ [] : [-(leq(n0, 1216 ^ []))], (1220 ^ _232327) ^ [] : [-(leq(1216 ^ [], minus(n3, n1)))], (1222 ^ _232327) ^ [] : [a_select2(s_try7_init, 1216 ^ []) = init]], 1223 ^ _232327 : [(1224 ^ _232327) ^ [] : [-(gt(loopcounter, n1))], (1226 ^ _232327) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]], (1055 ^ _232327) ^ [] : [-(s_best7_init = init)], (1057 ^ _232327) ^ [] : [-(s_sworst7_init = init)], (1059 ^ _232327) ^ [] : [-(s_worst7_init = init)], (1061 ^ _232327) ^ [] : [-(leq(n0, s_best7))], (1063 ^ _232327) ^ [] : [-(leq(n0, s_sworst7))], (1065 ^ _232327) ^ [] : [-(leq(n0, s_worst7))], (1067 ^ _232327) ^ [] : [-(leq(n0, pv19))], (1069 ^ _232327) ^ [] : [-(leq(s_best7, n3))], (1071 ^ _232327) ^ [] : [-(leq(s_sworst7, n3))], (1073 ^ _232327) ^ [] : [-(leq(s_worst7, n3))], (1075 ^ _232327) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1077 ^ _232327) ^ [_273226] : [leq(n0, _273226), leq(_273226, n2), 1084 ^ _232327 : [(1085 ^ _232327) ^ [_273454] : [-(a_select3(simplex7_init, _273454, _273226) = init), leq(n0, _273454), leq(_273454, n3)]]], (1095 ^ _232327) ^ [_273756] : [-(a_select2(s_values7_init, _273756) = init), leq(n0, _273756), leq(_273756, n3)], (1105 ^ _232327) ^ [_274037] : [-(a_select2(s_center7_init, _274037) = init), leq(n0, _274037), leq(_274037, n2)], (1125 ^ _232327) ^ [] : [gt(loopcounter, n1), 1128 ^ _232327 : [(1129 ^ _232327) ^ [] : [-(pvar1400_init = init)], (1131 ^ _232327) ^ [] : [-(pvar1401_init = init)], (1133 ^ _232327) ^ [] : [-(pvar1402_init = init)]]], (1115 ^ _232327) ^ [_274318] : [-(a_select2(s_try7_init, _274318) = init), leq(n0, _274318), leq(_274318, minus(n3, n1))], (2 ^ _232327) ^ [_232471] : [-(_232471 = _232471)], (4 ^ _232327) ^ [_232578, _232580] : [_232580 = _232578, -(_232578 = _232580)], (10 ^ _232327) ^ [_232782, _232784, _232786] : [-(_232786 = _232782), _232786 = _232784, _232784 = _232782], (20 ^ _232327) ^ [_233123, _233125, _233127, _233129] : [-(lt(_233127, _233123)), lt(_233129, _233125), _233129 = _233127, _233125 = _233123], (34 ^ _232327) ^ [_233567, _233569, _233571, _233573] : [-(geq(_233571, _233567)), geq(_233573, _233569), _233573 = _233571, _233569 = _233567], (48 ^ _232327) ^ [_234011, _234013, _234015, _234017] : [-(leq(_234015, _234011)), leq(_234017, _234013), _234017 = _234015, _234013 = _234011], (62 ^ _232327) ^ [_234435, _234437, _234439, _234441] : [-(gt(_234439, _234435)), gt(_234441, _234437), _234441 = _234439, _234437 = _234435], (76 ^ _232327) ^ [_234891, _234893, _234895, _234897] : [-(uniform_int_rnd(_234897, _234893) = uniform_int_rnd(_234895, _234891)), _234897 = _234895, _234893 = _234891], (86 ^ _232327) ^ [_235250, _235252, _235254, _235256] : [-(tptp_const_array1(_235256, _235252) = tptp_const_array1(_235254, _235250)), _235256 = _235254, _235252 = _235250], (96 ^ _232327) ^ [_235637, _235639, _235641, _235643, _235645, _235647] : [-(tptp_const_array2(_235647, _235643, _235639) = tptp_const_array2(_235645, _235641, _235637)), _235647 = _235645, _235643 = _235641, _235639 = _235637], (110 ^ _232327) ^ [_236125, _236127, _236129, _236131] : [-(dim(_236131, _236127) = dim(_236129, _236125)), _236131 = _236129, _236127 = _236125], (120 ^ _232327) ^ [_236456, _236458] : [_236458 = _236456, -(inv(_236458) = inv(_236456))], (126 ^ _232327) ^ [_236702, _236704, _236706, _236708] : [-(tptp_msub(_236708, _236704) = tptp_msub(_236706, _236702)), _236708 = _236706, _236704 = _236702], (136 ^ _232327) ^ [_237061, _237063, _237065, _237067] : [-(tptp_madd(_237067, _237063) = tptp_madd(_237065, _237061)), _237067 = _237065, _237063 = _237061], (146 ^ _232327) ^ [_237420, _237422, _237424, _237426] : [-(tptp_mmul(_237426, _237422) = tptp_mmul(_237424, _237420)), _237426 = _237424, _237422 = _237420], (156 ^ _232327) ^ [_237751, _237753] : [_237753 = _237751, -(trans(_237753) = trans(_237751))], (162 ^ _232327) ^ [_238025, _238027, _238029, _238031, _238033, _238035] : [-(sum(_238035, _238031, _238027) = sum(_238033, _238029, _238025)), _238035 = _238033, _238031 = _238029, _238027 = _238025], (176 ^ _232327) ^ [_238513, _238515, _238517, _238519] : [-(plus(_238519, _238515) = plus(_238517, _238513)), _238519 = _238517, _238515 = _238513], (186 ^ _232327) ^ [_238844, _238846] : [_238846 = _238844, -(pred(_238846) = pred(_238844))], (192 ^ _232327) ^ [_239146, _239148, _239150, _239152, _239154, _239156, _239158, _239160] : [-(tptp_update3(_239160, _239156, _239152, _239148) = tptp_update3(_239158, _239154, _239150, _239146)), _239160 = _239158, _239156 = _239154, _239152 = _239150, _239148 = _239146], (210 ^ _232327) ^ [_239807, _239809, _239811, _239813, _239815, _239817] : [-(tptp_update2(_239817, _239813, _239809) = tptp_update2(_239815, _239811, _239807)), _239817 = _239815, _239813 = _239811, _239809 = _239807], (224 ^ _232327) ^ [_240267, _240269] : [_240269 = _240267, -(succ(_240269) = succ(_240267))], (230 ^ _232327) ^ [_240541, _240543, _240545, _240547, _240549, _240551] : [-(a_select3(_240551, _240547, _240543) = a_select3(_240549, _240545, _240541)), _240551 = _240549, _240547 = _240545, _240543 = _240541], (244 ^ _232327) ^ [_241029, _241031, _241033, _241035] : [-(minus(_241035, _241031) = minus(_241033, _241029)), _241035 = _241033, _241031 = _241029], (254 ^ _232327) ^ [_241368, _241370, _241372, _241374] : [-(a_select2(_241374, _241370) = a_select2(_241372, _241368)), _241374 = _241372, _241370 = _241368], (869 ^ _232327) ^ [] : [-(gt(n5, n4))], (871 ^ _232327) ^ [] : [-(gt(n410, n4))], (873 ^ _232327) ^ [] : [-(gt(n410, n5))], (875 ^ _232327) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _232327) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _232327) ^ [] : [-(gt(n410, tptp_minus_1))], (881 ^ _232327) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _232327) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _232327) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _232327) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _232327) ^ [] : [-(gt(n4, n0))], (891 ^ _232327) ^ [] : [-(gt(n5, n0))], (893 ^ _232327) ^ [] : [-(gt(n410, n0))], (895 ^ _232327) ^ [] : [-(gt(n1, n0))], (897 ^ _232327) ^ [] : [-(gt(n2, n0))], (899 ^ _232327) ^ [] : [-(gt(n3, n0))], (901 ^ _232327) ^ [] : [-(gt(n4, n1))], (903 ^ _232327) ^ [] : [-(gt(n5, n1))], (905 ^ _232327) ^ [] : [-(gt(n410, n1))], (907 ^ _232327) ^ [] : [-(gt(n2, n1))], (909 ^ _232327) ^ [] : [-(gt(n3, n1))], (911 ^ _232327) ^ [] : [-(gt(n4, n2))], (913 ^ _232327) ^ [] : [-(gt(n5, n2))], (915 ^ _232327) ^ [] : [-(gt(n410, n2))], (917 ^ _232327) ^ [] : [-(gt(n3, n2))], (919 ^ _232327) ^ [] : [-(gt(n4, n3))], (921 ^ _232327) ^ [] : [-(gt(n5, n3))], (923 ^ _232327) ^ [] : [-(gt(n410, n3))], (925 ^ _232327) ^ [_269208] : [leq(n0, _269208), leq(_269208, n4), -(_269208 = n0), -(_269208 = n1), -(_269208 = n2), -(_269208 = n3), -(_269208 = n4)], (951 ^ _232327) ^ [_269829] : [leq(n0, _269829), leq(_269829, n5), -(_269829 = n0), -(_269829 = n1), -(_269829 = n2), -(_269829 = n3), -(_269829 = n4), -(_269829 = n5)], (981 ^ _232327) ^ [_270536] : [-(_270536 = n0), leq(n0, _270536), leq(_270536, n0)], (991 ^ _232327) ^ [_270811] : [leq(n0, _270811), leq(_270811, n1), -(_270811 = n0), -(_270811 = n1)], (1005 ^ _232327) ^ [_271174] : [leq(n0, _271174), leq(_271174, n2), -(_271174 = n0), -(_271174 = n1), -(_271174 = n2)], (1045 ^ _232327) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _232327) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _232327) ^ [] : [-(succ(n0) = n1)], (1051 ^ _232327) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _232327) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _232327) ^ [_271623] : [leq(n0, _271623), leq(_271623, n3), -(_271623 = n0), -(_271623 = n1), -(_271623 = n2), -(_271623 = n3)], (264 ^ _232327) ^ [_241799, _241801] : [-(gt(_241801, _241799)), -(gt(_241799, _241801)), -(_241801 = _241799)], (274 ^ _232327) ^ [_242114, _242116, _242118] : [-(gt(_242118, _242114)), gt(_242118, _242116), gt(_242116, _242114)], (284 ^ _232327) ^ [_242393] : [gt(_242393, _242393)], (286 ^ _232327) ^ [_242471] : [-(leq(_242471, _242471))], (288 ^ _232327) ^ [_242592, _242594, _242596] : [-(leq(_242596, _242592)), leq(_242596, _242594), leq(_242594, _242592)], (298 ^ _232327) ^ [_242930, _242932] : [lt(_242932, _242930), -(gt(_242930, _242932))], (304 ^ _232327) ^ [_243092, _243094] : [gt(_243092, _243094), -(lt(_243094, _243092))], (310 ^ _232327) ^ [_243333, _243335] : [geq(_243335, _243333), -(leq(_243333, _243335))], (316 ^ _232327) ^ [_243495, _243497] : [leq(_243495, _243497), -(geq(_243497, _243495))], (322 ^ _232327) ^ [_243707, _243709] : [gt(_243707, _243709), -(leq(_243709, _243707))], (328 ^ _232327) ^ [_243917, _243919] : [-(gt(_243917, _243919)), leq(_243919, _243917), -(_243919 = _243917)], (338 ^ _232327) ^ [_244248, _244250] : [leq(_244250, pred(_244248)), -(gt(_244248, _244250))], (344 ^ _232327) ^ [_244414, _244416] : [gt(_244414, _244416), -(leq(_244416, pred(_244414)))], (350 ^ _232327) ^ [_244601] : [-(gt(succ(_244601), _244601))], (352 ^ _232327) ^ [_244710, _244712] : [leq(_244712, _244710), -(leq(_244712, succ(_244710)))], (358 ^ _232327) ^ [_244953, _244955] : [leq(_244955, _244953), -(gt(succ(_244953), _244955))], (364 ^ _232327) ^ [_245119, _245121] : [gt(succ(_245119), _245121), -(leq(_245121, _245119))], (370 ^ _232327) ^ [_245335, _245337] : [leq(n0, _245337), -(leq(uniform_int_rnd(_245335, _245337), _245337))], (376 ^ _232327) ^ [_245551, _245553] : [leq(n0, _245553), -(leq(n0, uniform_int_rnd(_245551, _245553)))], (382 ^ _232327) ^ [_245795, _245797, _245799, _245801] : [-(a_select2(tptp_const_array1(dim(_245799, _245797), _245795), _245801) = _245795), leq(_245799, _245801), leq(_245801, _245797)], (392 ^ _232327) ^ [_246202, _246204, _246206, _246208, _246210, _246212, _246214] : [-(a_select3(tptp_const_array2(dim(_246212, _246210), dim(_246206, _246204), _246202), _246214, _246208) = _246202), leq(_246212, _246214), leq(_246214, _246210), leq(_246206, _246208), leq(_246208, _246204)], (410 ^ _232327) ^ [_246797, _246799] : [413 ^ _232327 : [(414 ^ _232327) ^ [] : [-(leq(n0, 411 ^ [_246797, _246799]))], (416 ^ _232327) ^ [] : [-(leq(411 ^ [_246797, _246799], _246797))], (418 ^ _232327) ^ [] : [-(leq(n0, 412 ^ [_246797, _246799]))], (420 ^ _232327) ^ [] : [-(leq(412 ^ [_246797, _246799], _246797))], (422 ^ _232327) ^ [] : [a_select3(_246799, 411 ^ [_246797, _246799], 412 ^ [_246797, _246799]) = a_select3(_246799, 412 ^ [_246797, _246799], 411 ^ [_246797, _246799])]], 423 ^ _232327 : [(424 ^ _232327) ^ [_247554, _247556] : [-(a_select3(trans(_246799), _247556, _247554) = a_select3(trans(_246799), _247554, _247556)), leq(n0, _247556), leq(_247556, _246797), leq(n0, _247554), leq(_247554, _246797)]]], (442 ^ _232327) ^ [_248101, _248103] : [445 ^ _232327 : [(446 ^ _232327) ^ [] : [-(leq(n0, 443 ^ [_248101, _248103]))], (448 ^ _232327) ^ [] : [-(leq(443 ^ [_248101, _248103], _248101))], (450 ^ _232327) ^ [] : [-(leq(n0, 444 ^ [_248101, _248103]))], (452 ^ _232327) ^ [] : [-(leq(444 ^ [_248101, _248103], _248101))], (454 ^ _232327) ^ [] : [a_select3(_248103, 443 ^ [_248101, _248103], 444 ^ [_248101, _248103]) = a_select3(_248103, 444 ^ [_248101, _248103], 443 ^ [_248101, _248103])]], 455 ^ _232327 : [(456 ^ _232327) ^ [_248858, _248860] : [-(a_select3(inv(_248103), _248860, _248858) = a_select3(inv(_248103), _248858, _248860)), leq(n0, _248860), leq(_248860, _248101), leq(n0, _248858), leq(_248858, _248101)]]], (474 ^ _232327) ^ [_249405, _249407] : [477 ^ _232327 : [(478 ^ _232327) ^ [] : [-(leq(n0, 475 ^ [_249405, _249407]))], (480 ^ _232327) ^ [] : [-(leq(475 ^ [_249405, _249407], _249405))], (482 ^ _232327) ^ [] : [-(leq(n0, 476 ^ [_249405, _249407]))], (484 ^ _232327) ^ [] : [-(leq(476 ^ [_249405, _249407], _249405))], (486 ^ _232327) ^ [] : [a_select3(_249407, 475 ^ [_249405, _249407], 476 ^ [_249405, _249407]) = a_select3(_249407, 476 ^ [_249405, _249407], 475 ^ [_249405, _249407])]], 487 ^ _232327 : [(488 ^ _232327) ^ [_250218, _250220, _250222, _250224] : [-(a_select3(tptp_update3(_249407, _250220, _250220, _250218), _250224, _250222) = a_select3(tptp_update3(_249407, _250220, _250220, _250218), _250222, _250224)), leq(n0, _250224), leq(_250224, _249405), leq(n0, _250222), leq(_250222, _249405), leq(n0, _250220), leq(_250220, _249405)]]], (514 ^ _232327) ^ [_251037, _251039, _251041] : [519 ^ _232327 : [(520 ^ _232327) ^ [] : [-(leq(n0, 517 ^ [_251037, _251039, _251041]))], (522 ^ _232327) ^ [] : [-(leq(517 ^ [_251037, _251039, _251041], _251037))], (524 ^ _232327) ^ [] : [-(leq(n0, 518 ^ [_251037, _251039, _251041]))], (526 ^ _232327) ^ [] : [-(leq(518 ^ [_251037, _251039, _251041], _251037))], (528 ^ _232327) ^ [] : [a_select3(_251041, 517 ^ [_251037, _251039, _251041], 518 ^ [_251037, _251039, _251041]) = a_select3(_251041, 518 ^ [_251037, _251039, _251041], 517 ^ [_251037, _251039, _251041])]], 531 ^ _232327 : [(532 ^ _232327) ^ [] : [-(leq(n0, 529 ^ [_251037, _251039, _251041]))], (534 ^ _232327) ^ [] : [-(leq(529 ^ [_251037, _251039, _251041], _251037))], (536 ^ _232327) ^ [] : [-(leq(n0, 530 ^ [_251037, _251039, _251041]))], (538 ^ _232327) ^ [] : [-(leq(530 ^ [_251037, _251039, _251041], _251037))], (540 ^ _232327) ^ [] : [a_select3(_251039, 529 ^ [_251037, _251039, _251041], 530 ^ [_251037, _251039, _251041]) = a_select3(_251039, 530 ^ [_251037, _251039, _251041], 529 ^ [_251037, _251039, _251041])]], 541 ^ _232327 : [(542 ^ _232327) ^ [_252546, _252548] : [-(a_select3(tptp_madd(_251041, _251039), _252548, _252546) = a_select3(tptp_madd(_251041, _251039), _252546, _252548)), leq(n0, _252548), leq(_252548, _251037), leq(n0, _252546), leq(_252546, _251037)]]], (560 ^ _232327) ^ [_253132, _253134, _253136] : [565 ^ _232327 : [(566 ^ _232327) ^ [] : [-(leq(n0, 563 ^ [_253132, _253134, _253136]))], (568 ^ _232327) ^ [] : [-(leq(563 ^ [_253132, _253134, _253136], _253132))], (570 ^ _232327) ^ [] : [-(leq(n0, 564 ^ [_253132, _253134, _253136]))], (572 ^ _232327) ^ [] : [-(leq(564 ^ [_253132, _253134, _253136], _253132))], (574 ^ _232327) ^ [] : [a_select3(_253136, 563 ^ [_253132, _253134, _253136], 564 ^ [_253132, _253134, _253136]) = a_select3(_253136, 564 ^ [_253132, _253134, _253136], 563 ^ [_253132, _253134, _253136])]], 577 ^ _232327 : [(578 ^ _232327) ^ [] : [-(leq(n0, 575 ^ [_253132, _253134, _253136]))], (580 ^ _232327) ^ [] : [-(leq(575 ^ [_253132, _253134, _253136], _253132))], (582 ^ _232327) ^ [] : [-(leq(n0, 576 ^ [_253132, _253134, _253136]))], (584 ^ _232327) ^ [] : [-(leq(576 ^ [_253132, _253134, _253136], _253132))], (586 ^ _232327) ^ [] : [a_select3(_253134, 575 ^ [_253132, _253134, _253136], 576 ^ [_253132, _253134, _253136]) = a_select3(_253134, 576 ^ [_253132, _253134, _253136], 575 ^ [_253132, _253134, _253136])]], 587 ^ _232327 : [(588 ^ _232327) ^ [_254641, _254643] : [-(a_select3(tptp_msub(_253136, _253134), _254643, _254641) = a_select3(tptp_msub(_253136, _253134), _254641, _254643)), leq(n0, _254643), leq(_254643, _253132), leq(n0, _254641), leq(_254641, _253132)]]], (606 ^ _232327) ^ [_255227, _255229, _255231] : [609 ^ _232327 : [(610 ^ _232327) ^ [] : [-(leq(n0, 607 ^ [_255227, _255229, _255231]))], (612 ^ _232327) ^ [] : [-(leq(607 ^ [_255227, _255229, _255231], _255227))], (614 ^ _232327) ^ [] : [-(leq(n0, 608 ^ [_255227, _255229, _255231]))], (616 ^ _232327) ^ [] : [-(leq(608 ^ [_255227, _255229, _255231], _255227))], (618 ^ _232327) ^ [] : [a_select3(_255229, 607 ^ [_255227, _255229, _255231], 608 ^ [_255227, _255229, _255231]) = a_select3(_255229, 608 ^ [_255227, _255229, _255231], 607 ^ [_255227, _255229, _255231])]], 619 ^ _232327 : [(620 ^ _232327) ^ [_256040, _256042] : [-(a_select3(tptp_mmul(_255231, tptp_mmul(_255229, trans(_255231))), _256042, _256040) = a_select3(tptp_mmul(_255231, tptp_mmul(_255229, trans(_255231))), _256040, _256042)), leq(n0, _256042), leq(_256042, _255227), leq(n0, _256040), leq(_256040, _255227)]]], (638 ^ _232327) ^ [_256659, _256661, _256663, _256665] : [641 ^ _232327 : [(642 ^ _232327) ^ [] : [-(leq(n0, 639 ^ [_256659, _256661, _256663, _256665]))], (644 ^ _232327) ^ [] : [-(leq(639 ^ [_256659, _256661, _256663, _256665], _256659))], (646 ^ _232327) ^ [] : [-(leq(n0, 640 ^ [_256659, _256661, _256663, _256665]))], (648 ^ _232327) ^ [] : [-(leq(640 ^ [_256659, _256661, _256663, _256665], _256659))], (650 ^ _232327) ^ [] : [a_select3(_256663, 639 ^ [_256659, _256661, _256663, _256665], 640 ^ [_256659, _256661, _256663, _256665]) = a_select3(_256663, 640 ^ [_256659, _256661, _256663, _256665], 639 ^ [_256659, _256661, _256663, _256665])]], 651 ^ _232327 : [(652 ^ _232327) ^ [_257516, _257518] : [-(a_select3(tptp_mmul(_256665, tptp_mmul(_256663, trans(_256665))), _257518, _257516) = a_select3(tptp_mmul(_256665, tptp_mmul(_256663, trans(_256665))), _257516, _257518)), leq(n0, _257518), leq(_257518, _256661), leq(n0, _257516), leq(_257516, _256661)]]], (670 ^ _232327) ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225] : [675 ^ _232327 : [(676 ^ _232327) ^ [] : [-(leq(n0, 673 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (678 ^ _232327) ^ [] : [-(leq(673 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258211))], (680 ^ _232327) ^ [] : [-(leq(n0, 674 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (682 ^ _232327) ^ [] : [-(leq(674 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258211))], (684 ^ _232327) ^ [] : [a_select3(_258219, 673 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 674 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]) = a_select3(_258219, 674 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 673 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225])]], 689 ^ _232327 : [(690 ^ _232327) ^ [] : [-(leq(n0, 687 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (692 ^ _232327) ^ [] : [-(leq(687 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258213))], (694 ^ _232327) ^ [] : [-(leq(n0, 688 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (696 ^ _232327) ^ [] : [-(leq(688 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258213))], (698 ^ _232327) ^ [] : [a_select3(_258225, 687 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 688 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]) = a_select3(_258225, 688 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 687 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225])]], 701 ^ _232327 : [(702 ^ _232327) ^ [] : [-(leq(n0, 699 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (704 ^ _232327) ^ [] : [-(leq(699 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258213))], (706 ^ _232327) ^ [] : [-(leq(n0, 700 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]))], (708 ^ _232327) ^ [] : [-(leq(700 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], _258213))], (710 ^ _232327) ^ [] : [a_select3(_258215, 699 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 700 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225]) = a_select3(_258215, 700 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225], 699 ^ [_258211, _258213, _258215, _258217, _258219, _258221, _258223, _258225])]], 711 ^ _232327 : [(712 ^ _232327) ^ [_261139, _261141] : [-(a_select3(tptp_madd(_258225, tptp_mmul(_258223, tptp_mmul(tptp_madd(tptp_mmul(_258221, tptp_mmul(_258219, trans(_258221))), tptp_mmul(_258217, tptp_mmul(_258215, trans(_258217)))), trans(_258223)))), _261141, _261139) = a_select3(tptp_madd(_258225, tptp_mmul(_258223, tptp_mmul(tptp_madd(tptp_mmul(_258221, tptp_mmul(_258219, trans(_258221))), tptp_mmul(_258217, tptp_mmul(_258215, trans(_258217)))), trans(_258223)))), _261139, _261141)), leq(n0, _261141), leq(_261141, _258213), leq(n0, _261139), leq(_261139, _258213)]]], (730 ^ _232327) ^ [_261892] : [-(sum(n0, tptp_minus_1, _261892) = n0)], (732 ^ _232327) ^ [_261974] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _261974))], (734 ^ _232327) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _232327) ^ [_262109] : [-(plus(_262109, n1) = succ(_262109))], (738 ^ _232327) ^ [_262192] : [-(plus(n1, _262192) = succ(_262192))], (740 ^ _232327) ^ [_262275] : [-(plus(_262275, n2) = succ(succ(_262275)))], (742 ^ _232327) ^ [_262360] : [-(plus(n2, _262360) = succ(succ(_262360)))], (744 ^ _232327) ^ [_262445] : [-(plus(_262445, n3) = succ(succ(succ(_262445))))], (746 ^ _232327) ^ [_262532] : [-(plus(n3, _262532) = succ(succ(succ(_262532))))], (748 ^ _232327) ^ [_262619] : [-(plus(_262619, n4) = succ(succ(succ(succ(_262619)))))], (750 ^ _232327) ^ [_262708] : [-(plus(n4, _262708) = succ(succ(succ(succ(_262708)))))], (752 ^ _232327) ^ [_262797] : [-(plus(_262797, n5) = succ(succ(succ(succ(succ(_262797))))))], (754 ^ _232327) ^ [_262888] : [-(plus(n5, _262888) = succ(succ(succ(succ(succ(_262888))))))], (756 ^ _232327) ^ [_262979] : [-(minus(_262979, n1) = pred(_262979))], (758 ^ _232327) ^ [_263062] : [-(pred(succ(_263062)) = _263062)], (760 ^ _232327) ^ [_263144] : [-(succ(pred(_263144)) = _263144)], (762 ^ _232327) ^ [_263284, _263286] : [leq(succ(_263286), succ(_263284)), -(leq(_263286, _263284))], (768 ^ _232327) ^ [_263454, _263456] : [leq(_263456, _263454), -(leq(succ(_263456), succ(_263454)))], (774 ^ _232327) ^ [_263674, _263676] : [leq(succ(_263676), _263674), -(gt(_263674, _263676))], (780 ^ _232327) ^ [_263888, _263890] : [leq(minus(_263890, _263888), _263890), -(leq(n0, _263888))], (786 ^ _232327) ^ [_264117, _264119, _264121, _264123] : [-(a_select3(tptp_update3(_264123, _264121, _264119, _264117), _264121, _264119) = _264117)], (788 ^ _232327) ^ [_264309, _264311, _264313, _264315, _264317, _264319, _264321] : [-(a_select3(tptp_update3(_264313, _264321, _264319, _264309), _264317, _264315) = _264311), -(_264321 = _264317), _264319 = _264315, a_select3(_264313, _264317, _264315) = _264311], (802 ^ _232327) ^ [_264852, _264854, _264856, _264858, _264860, _264862] : [-(a_select3(tptp_update3(_264854, _264858, _264856, _264852), _264862, _264860) = _264852), 807 ^ _232327 : [(808 ^ _232327) ^ [] : [-(leq(n0, 805 ^ [_264852, _264854, _264856, _264858, _264860, _264862]))], (810 ^ _232327) ^ [] : [-(leq(n0, 806 ^ [_264852, _264854, _264856, _264858, _264860, _264862]))], (812 ^ _232327) ^ [] : [-(leq(805 ^ [_264852, _264854, _264856, _264858, _264860, _264862], _264858))], (814 ^ _232327) ^ [] : [-(leq(806 ^ [_264852, _264854, _264856, _264858, _264860, _264862], _264856))], (816 ^ _232327) ^ [] : [a_select3(_264854, 805 ^ [_264852, _264854, _264856, _264858, _264860, _264862], 806 ^ [_264852, _264854, _264856, _264858, _264860, _264862]) = _264852]], leq(n0, _264862), leq(_264862, _264858), leq(n0, _264860), leq(_264860, _264856)], (834 ^ _232327) ^ [_266194, _266196, _266198] : [-(a_select2(tptp_update2(_266198, _266196, _266194), _266196) = _266194)], (836 ^ _232327) ^ [_266354, _266356, _266358, _266360, _266362] : [-(a_select2(tptp_update2(_266358, _266362, _266354), _266360) = _266356), -(_266362 = _266360), a_select2(_266358, _266360) = _266356], (865 ^ _232327) ^ [] : [-(true)], (867 ^ _232327) ^ [] : [def = use], (846 ^ _232327) ^ [_266734, _266736, _266738, _266740] : [-(a_select2(tptp_update2(_266736, _266738, _266734), _266740) = _266734), 850 ^ _232327 : [(851 ^ _232327) ^ [] : [-(leq(n0, 849 ^ [_266734, _266736, _266738, _266740]))], (853 ^ _232327) ^ [] : [-(leq(849 ^ [_266734, _266736, _266738, _266740], _266738))], (855 ^ _232327) ^ [] : [a_select2(_266736, 849 ^ [_266734, _266736, _266738, _266740]) = _266734]], leq(n0, _266740), leq(_266740, _266738)]], input).
% 0.35/1.38  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(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), 1195 : a_select3(simplex7_init, 1189 ^ [], 1184 ^ []) = init, 1204 : a_select2(s_values7_init, 1198 ^ []) = init, 1213 : a_select2(s_center7_init, 1207 ^ []) = init, 1222 : a_select2(s_try7_init, 1216 ^ []) = init, 1226 : pvar1400_init = init, 1226 : pvar1401_init = init, 1226 : pvar1402_init = init],start(1135 ^ 0)).
% 0.35/1.38  ncf('1.1',plain,[-(init = init)],extension(2 ^ 1,bind([[_232471], [init]]))).
% 0.35/1.38  ncf('1.2',plain,[-(s_best7_init = init)],extension(1055 ^ 1)).
% 0.35/1.38  ncf('1.3',plain,[-(s_sworst7_init = init)],extension(1057 ^ 1)).
% 0.35/1.38  ncf('1.4',plain,[-(s_worst7_init = init)],extension(1059 ^ 1)).
% 0.35/1.38  ncf('1.5',plain,[-(leq(n0, s_best7))],extension(1061 ^ 1)).
% 0.35/1.38  ncf('1.6',plain,[-(leq(n0, s_sworst7))],extension(1063 ^ 1)).
% 0.35/1.38  ncf('1.7',plain,[-(leq(n0, s_worst7))],extension(1065 ^ 1)).
% 0.35/1.38  ncf('1.8',plain,[-(leq(n0, pv19))],extension(1067 ^ 1)).
% 0.35/1.38  ncf('1.9',plain,[-(leq(s_best7, n3))],extension(1069 ^ 1)).
% 0.35/1.38  ncf('1.10',plain,[-(leq(s_sworst7, n3))],extension(1071 ^ 1)).
% 0.35/1.38  ncf('1.11',plain,[-(leq(s_worst7, n3))],extension(1073 ^ 1)).
% 0.35/1.38  ncf('1.12',plain,[-(leq(pv19, minus(n410, n1)))],extension(1075 ^ 1)).
% 0.35/1.38  ncf('1.13',plain,[-(a_select3(simplex7_init, 1189 ^ [], 1184 ^ []) = init), 1085 : leq(n0, 1189 ^ []), 1085 : leq(1189 ^ [], n3), 1085 : leq(n0, 1184 ^ []), 1085 : leq(1184 ^ [], n2)],extension(1077 ^ 3,bind([[_273226, _273454], [1184 ^ [], 1189 ^ []]]))).
% 0.35/1.38  ncf('1.13.1',plain,[-(leq(n0, 1189 ^ []))],extension(1191 ^ 6)).
% 0.35/1.38  ncf('1.13.2',plain,[-(leq(1189 ^ [], n3))],extension(1193 ^ 6)).
% 0.35/1.38  ncf('1.13.3',plain,[-(leq(n0, 1184 ^ []))],extension(1186 ^ 4)).
% 0.35/1.38  ncf('1.13.4',plain,[-(leq(1184 ^ [], n2))],extension(1188 ^ 4)).
% 0.35/1.38  ncf('1.14',plain,[-(a_select2(s_values7_init, 1198 ^ []) = init), leq(n0, 1198 ^ []), leq(1198 ^ [], n3)],extension(1095 ^ 3,bind([[_273756], [1198 ^ []]]))).
% 0.35/1.38  ncf('1.14.1',plain,[-(leq(n0, 1198 ^ []))],extension(1200 ^ 4)).
% 0.35/1.38  ncf('1.14.2',plain,[-(leq(1198 ^ [], n3))],extension(1202 ^ 4)).
% 0.35/1.38  ncf('1.15',plain,[-(a_select2(s_center7_init, 1207 ^ []) = init), leq(n0, 1207 ^ []), leq(1207 ^ [], n2)],extension(1105 ^ 3,bind([[_274037], [1207 ^ []]]))).
% 0.35/1.38  ncf('1.15.1',plain,[-(leq(n0, 1207 ^ []))],extension(1209 ^ 4)).
% 0.35/1.38  ncf('1.15.2',plain,[-(leq(1207 ^ [], n2))],extension(1211 ^ 4)).
% 0.35/1.38  ncf('1.16',plain,[-(a_select2(s_try7_init, 1216 ^ []) = init), leq(n0, 1216 ^ []), leq(1216 ^ [], minus(n3, n1))],extension(1115 ^ 3,bind([[_274318], [1216 ^ []]]))).
% 0.35/1.38  ncf('1.16.1',plain,[-(leq(n0, 1216 ^ []))],extension(1218 ^ 4)).
% 0.35/1.38  ncf('1.16.2',plain,[-(leq(1216 ^ [], minus(n3, n1)))],extension(1220 ^ 4)).
% 0.35/1.38  ncf('1.17',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1125 ^ 3)).
% 0.35/1.38  ncf('1.17.1',plain,[-(gt(loopcounter, n1))],extension(1224 ^ 4)).
% 0.35/1.38  ncf('1.18',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1125 ^ 3)).
% 0.35/1.38  ncf('1.18.1',plain,[-(gt(loopcounter, n1))],extension(1224 ^ 4)).
% 0.35/1.38  ncf('1.19',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1125 ^ 3)).
% 0.35/1.38  ncf('1.19.1',plain,[-(gt(loopcounter, n1))],extension(1224 ^ 4)).
% 0.35/1.38  %-----------------------------------------------------
% 0.35/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------