%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV027+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV027+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:41:50 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1161 ^ _238837) ^ [] : [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), 1227 ^ _238837 : [(1228 ^ _238837) ^ [] : [-(leq(n0, 1226 ^ []))], (1230 ^ _238837) ^ [] : [-(leq(1226 ^ [], n2))], (1233 ^ _238837) ^ [] : [-(leq(n0, 1231 ^ []))], (1235 ^ _238837) ^ [] : [-(leq(1231 ^ [], n3))], (1237 ^ _238837) ^ [] : [a_select3(simplex7_init, 1231 ^ [], 1226 ^ []) = init]], 1241 ^ _238837 : [(1242 ^ _238837) ^ [] : [-(leq(n0, 1240 ^ []))], (1244 ^ _238837) ^ [] : [-(leq(1240 ^ [], n3))], (1246 ^ _238837) ^ [] : [a_select2(s_values7_init, 1240 ^ []) = init]], 1250 ^ _238837 : [(1251 ^ _238837) ^ [] : [-(leq(n0, 1249 ^ []))], (1253 ^ _238837) ^ [] : [-(leq(1249 ^ [], n2))], (1255 ^ _238837) ^ [] : [a_select2(s_center7_init, 1249 ^ []) = init]], 1259 ^ _238837 : [(1260 ^ _238837) ^ [] : [-(leq(n0, 1258 ^ []))], (1262 ^ _238837) ^ [] : [-(leq(1258 ^ [], minus(n3, n1)))], (1264 ^ _238837) ^ [] : [a_select2(s_try7_init, 1258 ^ []) = init]], 1265 ^ _238837 : [(1266 ^ _238837) ^ [] : [-(gt(loopcounter, n1))], (1268 ^ _238837) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]], (1071 ^ _238837) ^ [] : [-(init = init)], (1073 ^ _238837) ^ [] : [-(s_best7_init = init)], (1075 ^ _238837) ^ [] : [-(s_sworst7_init = init)], (1077 ^ _238837) ^ [] : [-(s_worst7_init = init)], (1079 ^ _238837) ^ [] : [-(leq(n0, s_best7))], (1081 ^ _238837) ^ [] : [-(leq(n0, s_sworst7))], (1083 ^ _238837) ^ [] : [-(leq(n0, s_worst7))], (1085 ^ _238837) ^ [] : [-(leq(n0, pv19))], (1087 ^ _238837) ^ [] : [-(leq(n0, pv20))], (1089 ^ _238837) ^ [] : [-(leq(n0, pv1376))], (1091 ^ _238837) ^ [] : [-(leq(s_best7, n3))], (1093 ^ _238837) ^ [] : [-(leq(s_sworst7, n3))], (1095 ^ _238837) ^ [] : [-(leq(s_worst7, n3))], (1097 ^ _238837) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1099 ^ _238837) ^ [] : [-(leq(pv20, minus(n330, n1)))], (1101 ^ _238837) ^ [] : [-(leq(pv1376, n3))], (1103 ^ _238837) ^ [_280457] : [leq(n0, _280457), leq(_280457, n2), 1110 ^ _238837 : [(1111 ^ _238837) ^ [_280685] : [-(a_select3(simplex7_init, _280685, _280457) = init), leq(n0, _280685), leq(_280685, n3)]]], (1121 ^ _238837) ^ [_280987] : [-(a_select2(s_values7_init, _280987) = init), leq(n0, _280987), leq(_280987, n3)], (1131 ^ _238837) ^ [_281268] : [-(a_select2(s_center7_init, _281268) = init), leq(n0, _281268), leq(_281268, n2)], (1151 ^ _238837) ^ [] : [gt(loopcounter, n1), 1154 ^ _238837 : [(1155 ^ _238837) ^ [] : [-(pvar1400_init = init)], (1157 ^ _238837) ^ [] : [-(pvar1401_init = init)], (1159 ^ _238837) ^ [] : [-(pvar1402_init = init)]]], (1141 ^ _238837) ^ [_281549] : [-(a_select2(s_try7_init, _281549) = init), leq(n0, _281549), leq(_281549, minus(n3, n1))], (2 ^ _238837) ^ [_238981] : [-(_238981 = _238981)], (4 ^ _238837) ^ [_239088, _239090] : [_239090 = _239088, -(_239088 = _239090)], (10 ^ _238837) ^ [_239292, _239294, _239296] : [-(_239296 = _239292), _239296 = _239294, _239294 = _239292], (20 ^ _238837) ^ [_239633, _239635, _239637, _239639] : [-(lt(_239637, _239633)), lt(_239639, _239635), _239639 = _239637, _239635 = _239633], (34 ^ _238837) ^ [_240077, _240079, _240081, _240083] : [-(geq(_240081, _240077)), geq(_240083, _240079), _240083 = _240081, _240079 = _240077], (48 ^ _238837) ^ [_240521, _240523, _240525, _240527] : [-(leq(_240525, _240521)), leq(_240527, _240523), _240527 = _240525, _240523 = _240521], (62 ^ _238837) ^ [_240945, _240947, _240949, _240951] : [-(gt(_240949, _240945)), gt(_240951, _240947), _240951 = _240949, _240947 = _240945], (76 ^ _238837) ^ [_241401, _241403, _241405, _241407] : [-(uniform_int_rnd(_241407, _241403) = uniform_int_rnd(_241405, _241401)), _241407 = _241405, _241403 = _241401], (86 ^ _238837) ^ [_241760, _241762, _241764, _241766] : [-(tptp_const_array1(_241766, _241762) = tptp_const_array1(_241764, _241760)), _241766 = _241764, _241762 = _241760], (96 ^ _238837) ^ [_242147, _242149, _242151, _242153, _242155, _242157] : [-(tptp_const_array2(_242157, _242153, _242149) = tptp_const_array2(_242155, _242151, _242147)), _242157 = _242155, _242153 = _242151, _242149 = _242147], (110 ^ _238837) ^ [_242635, _242637, _242639, _242641] : [-(dim(_242641, _242637) = dim(_242639, _242635)), _242641 = _242639, _242637 = _242635], (120 ^ _238837) ^ [_242966, _242968] : [_242968 = _242966, -(inv(_242968) = inv(_242966))], (126 ^ _238837) ^ [_243212, _243214, _243216, _243218] : [-(tptp_msub(_243218, _243214) = tptp_msub(_243216, _243212)), _243218 = _243216, _243214 = _243212], (136 ^ _238837) ^ [_243571, _243573, _243575, _243577] : [-(tptp_madd(_243577, _243573) = tptp_madd(_243575, _243571)), _243577 = _243575, _243573 = _243571], (146 ^ _238837) ^ [_243930, _243932, _243934, _243936] : [-(tptp_mmul(_243936, _243932) = tptp_mmul(_243934, _243930)), _243936 = _243934, _243932 = _243930], (156 ^ _238837) ^ [_244261, _244263] : [_244263 = _244261, -(trans(_244263) = trans(_244261))], (162 ^ _238837) ^ [_244535, _244537, _244539, _244541, _244543, _244545] : [-(sum(_244545, _244541, _244537) = sum(_244543, _244539, _244535)), _244545 = _244543, _244541 = _244539, _244537 = _244535], (176 ^ _238837) ^ [_245023, _245025, _245027, _245029] : [-(plus(_245029, _245025) = plus(_245027, _245023)), _245029 = _245027, _245025 = _245023], (186 ^ _238837) ^ [_245354, _245356] : [_245356 = _245354, -(pred(_245356) = pred(_245354))], (192 ^ _238837) ^ [_245656, _245658, _245660, _245662, _245664, _245666, _245668, _245670] : [-(tptp_update3(_245670, _245666, _245662, _245658) = tptp_update3(_245668, _245664, _245660, _245656)), _245670 = _245668, _245666 = _245664, _245662 = _245660, _245658 = _245656], (210 ^ _238837) ^ [_246317, _246319, _246321, _246323, _246325, _246327] : [-(tptp_update2(_246327, _246323, _246319) = tptp_update2(_246325, _246321, _246317)), _246327 = _246325, _246323 = _246321, _246319 = _246317], (224 ^ _238837) ^ [_246777, _246779] : [_246779 = _246777, -(succ(_246779) = succ(_246777))], (230 ^ _238837) ^ [_247051, _247053, _247055, _247057, _247059, _247061] : [-(a_select3(_247061, _247057, _247053) = a_select3(_247059, _247055, _247051)), _247061 = _247059, _247057 = _247055, _247053 = _247051], (244 ^ _238837) ^ [_247539, _247541, _247543, _247545] : [-(minus(_247545, _247541) = minus(_247543, _247539)), _247545 = _247543, _247541 = _247539], (254 ^ _238837) ^ [_247878, _247880, _247882, _247884] : [-(a_select2(_247884, _247880) = a_select2(_247882, _247878)), _247884 = _247882, _247880 = _247878], (869 ^ _238837) ^ [] : [-(gt(n5, n4))], (871 ^ _238837) ^ [] : [-(gt(n330, n4))], (873 ^ _238837) ^ [] : [-(gt(n410, n4))], (875 ^ _238837) ^ [] : [-(gt(n330, n5))], (877 ^ _238837) ^ [] : [-(gt(n410, n5))], (879 ^ _238837) ^ [] : [-(gt(n410, n330))], (881 ^ _238837) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _238837) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _238837) ^ [] : [-(gt(n330, tptp_minus_1))], (887 ^ _238837) ^ [] : [-(gt(n410, tptp_minus_1))], (889 ^ _238837) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _238837) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _238837) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _238837) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _238837) ^ [] : [-(gt(n4, n0))], (899 ^ _238837) ^ [] : [-(gt(n5, n0))], (901 ^ _238837) ^ [] : [-(gt(n330, n0))], (903 ^ _238837) ^ [] : [-(gt(n410, n0))], (905 ^ _238837) ^ [] : [-(gt(n1, n0))], (907 ^ _238837) ^ [] : [-(gt(n2, n0))], (909 ^ _238837) ^ [] : [-(gt(n3, n0))], (911 ^ _238837) ^ [] : [-(gt(n4, n1))], (913 ^ _238837) ^ [] : [-(gt(n5, n1))], (915 ^ _238837) ^ [] : [-(gt(n330, n1))], (917 ^ _238837) ^ [] : [-(gt(n410, n1))], (919 ^ _238837) ^ [] : [-(gt(n2, n1))], (921 ^ _238837) ^ [] : [-(gt(n3, n1))], (923 ^ _238837) ^ [] : [-(gt(n4, n2))], (925 ^ _238837) ^ [] : [-(gt(n5, n2))], (927 ^ _238837) ^ [] : [-(gt(n330, n2))], (929 ^ _238837) ^ [] : [-(gt(n410, n2))], (931 ^ _238837) ^ [] : [-(gt(n3, n2))], (933 ^ _238837) ^ [] : [-(gt(n4, n3))], (935 ^ _238837) ^ [] : [-(gt(n5, n3))], (937 ^ _238837) ^ [] : [-(gt(n330, n3))], (939 ^ _238837) ^ [] : [-(gt(n410, n3))], (941 ^ _238837) ^ [_276142] : [leq(n0, _276142), leq(_276142, n4), -(_276142 = n0), -(_276142 = n1), -(_276142 = n2), -(_276142 = n3), -(_276142 = n4)], (967 ^ _238837) ^ [_276763] : [leq(n0, _276763), leq(_276763, n5), -(_276763 = n0), -(_276763 = n1), -(_276763 = n2), -(_276763 = n3), -(_276763 = n4), -(_276763 = n5)], (997 ^ _238837) ^ [_277470] : [-(_277470 = n0), leq(n0, _277470), leq(_277470, n0)], (1007 ^ _238837) ^ [_277745] : [leq(n0, _277745), leq(_277745, n1), -(_277745 = n0), -(_277745 = n1)], (1021 ^ _238837) ^ [_278108] : [leq(n0, _278108), leq(_278108, n2), -(_278108 = n0), -(_278108 = n1), -(_278108 = n2)], (1061 ^ _238837) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1063 ^ _238837) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1065 ^ _238837) ^ [] : [-(succ(n0) = n1)], (1067 ^ _238837) ^ [] : [-(succ(succ(n0)) = n2)], (1069 ^ _238837) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1039 ^ _238837) ^ [_278557] : [leq(n0, _278557), leq(_278557, n3), -(_278557 = n0), -(_278557 = n1), -(_278557 = n2), -(_278557 = n3)], (264 ^ _238837) ^ [_248309, _248311] : [-(gt(_248311, _248309)), -(gt(_248309, _248311)), -(_248311 = _248309)], (274 ^ _238837) ^ [_248624, _248626, _248628] : [-(gt(_248628, _248624)), gt(_248628, _248626), gt(_248626, _248624)], (284 ^ _238837) ^ [_248903] : [gt(_248903, _248903)], (286 ^ _238837) ^ [_248981] : [-(leq(_248981, _248981))], (288 ^ _238837) ^ [_249102, _249104, _249106] : [-(leq(_249106, _249102)), leq(_249106, _249104), leq(_249104, _249102)], (298 ^ _238837) ^ [_249440, _249442] : [lt(_249442, _249440), -(gt(_249440, _249442))], (304 ^ _238837) ^ [_249602, _249604] : [gt(_249602, _249604), -(lt(_249604, _249602))], (310 ^ _238837) ^ [_249843, _249845] : [geq(_249845, _249843), -(leq(_249843, _249845))], (316 ^ _238837) ^ [_250005, _250007] : [leq(_250005, _250007), -(geq(_250007, _250005))], (322 ^ _238837) ^ [_250217, _250219] : [gt(_250217, _250219), -(leq(_250219, _250217))], (328 ^ _238837) ^ [_250427, _250429] : [-(gt(_250427, _250429)), leq(_250429, _250427), -(_250429 = _250427)], (338 ^ _238837) ^ [_250758, _250760] : [leq(_250760, pred(_250758)), -(gt(_250758, _250760))], (344 ^ _238837) ^ [_250924, _250926] : [gt(_250924, _250926), -(leq(_250926, pred(_250924)))], (350 ^ _238837) ^ [_251111] : [-(gt(succ(_251111), _251111))], (352 ^ _238837) ^ [_251220, _251222] : [leq(_251222, _251220), -(leq(_251222, succ(_251220)))], (358 ^ _238837) ^ [_251463, _251465] : [leq(_251465, _251463), -(gt(succ(_251463), _251465))], (364 ^ _238837) ^ [_251629, _251631] : [gt(succ(_251629), _251631), -(leq(_251631, _251629))], (370 ^ _238837) ^ [_251845, _251847] : [leq(n0, _251847), -(leq(uniform_int_rnd(_251845, _251847), _251847))], (376 ^ _238837) ^ [_252061, _252063] : [leq(n0, _252063), -(leq(n0, uniform_int_rnd(_252061, _252063)))], (382 ^ _238837) ^ [_252305, _252307, _252309, _252311] : [-(a_select2(tptp_const_array1(dim(_252309, _252307), _252305), _252311) = _252305), leq(_252309, _252311), leq(_252311, _252307)], (392 ^ _238837) ^ [_252712, _252714, _252716, _252718, _252720, _252722, _252724] : [-(a_select3(tptp_const_array2(dim(_252722, _252720), dim(_252716, _252714), _252712), _252724, _252718) = _252712), leq(_252722, _252724), leq(_252724, _252720), leq(_252716, _252718), leq(_252718, _252714)], (410 ^ _238837) ^ [_253307, _253309] : [413 ^ _238837 : [(414 ^ _238837) ^ [] : [-(leq(n0, 411 ^ [_253307, _253309]))], (416 ^ _238837) ^ [] : [-(leq(411 ^ [_253307, _253309], _253307))], (418 ^ _238837) ^ [] : [-(leq(n0, 412 ^ [_253307, _253309]))], (420 ^ _238837) ^ [] : [-(leq(412 ^ [_253307, _253309], _253307))], (422 ^ _238837) ^ [] : [a_select3(_253309, 411 ^ [_253307, _253309], 412 ^ [_253307, _253309]) = a_select3(_253309, 412 ^ [_253307, _253309], 411 ^ [_253307, _253309])]], 423 ^ _238837 : [(424 ^ _238837) ^ [_254064, _254066] : [-(a_select3(trans(_253309), _254066, _254064) = a_select3(trans(_253309), _254064, _254066)), leq(n0, _254066), leq(_254066, _253307), leq(n0, _254064), leq(_254064, _253307)]]], (442 ^ _238837) ^ [_254611, _254613] : [445 ^ _238837 : [(446 ^ _238837) ^ [] : [-(leq(n0, 443 ^ [_254611, _254613]))], (448 ^ _238837) ^ [] : [-(leq(443 ^ [_254611, _254613], _254611))], (450 ^ _238837) ^ [] : [-(leq(n0, 444 ^ [_254611, _254613]))], (452 ^ _238837) ^ [] : [-(leq(444 ^ [_254611, _254613], _254611))], (454 ^ _238837) ^ [] : [a_select3(_254613, 443 ^ [_254611, _254613], 444 ^ [_254611, _254613]) = a_select3(_254613, 444 ^ [_254611, _254613], 443 ^ [_254611, _254613])]], 455 ^ _238837 : [(456 ^ _238837) ^ [_255368, _255370] : [-(a_select3(inv(_254613), _255370, _255368) = a_select3(inv(_254613), _255368, _255370)), leq(n0, _255370), leq(_255370, _254611), leq(n0, _255368), leq(_255368, _254611)]]], (474 ^ _238837) ^ [_255915, _255917] : [477 ^ _238837 : [(478 ^ _238837) ^ [] : [-(leq(n0, 475 ^ [_255915, _255917]))], (480 ^ _238837) ^ [] : [-(leq(475 ^ [_255915, _255917], _255915))], (482 ^ _238837) ^ [] : [-(leq(n0, 476 ^ [_255915, _255917]))], (484 ^ _238837) ^ [] : [-(leq(476 ^ [_255915, _255917], _255915))], (486 ^ _238837) ^ [] : [a_select3(_255917, 475 ^ [_255915, _255917], 476 ^ [_255915, _255917]) = a_select3(_255917, 476 ^ [_255915, _255917], 475 ^ [_255915, _255917])]], 487 ^ _238837 : [(488 ^ _238837) ^ [_256728, _256730, _256732, _256734] : [-(a_select3(tptp_update3(_255917, _256730, _256730, _256728), _256734, _256732) = a_select3(tptp_update3(_255917, _256730, _256730, _256728), _256732, _256734)), leq(n0, _256734), leq(_256734, _255915), leq(n0, _256732), leq(_256732, _255915), leq(n0, _256730), leq(_256730, _255915)]]], (514 ^ _238837) ^ [_257547, _257549, _257551] : [519 ^ _238837 : [(520 ^ _238837) ^ [] : [-(leq(n0, 517 ^ [_257547, _257549, _257551]))], (522 ^ _238837) ^ [] : [-(leq(517 ^ [_257547, _257549, _257551], _257547))], (524 ^ _238837) ^ [] : [-(leq(n0, 518 ^ [_257547, _257549, _257551]))], (526 ^ _238837) ^ [] : [-(leq(518 ^ [_257547, _257549, _257551], _257547))], (528 ^ _238837) ^ [] : [a_select3(_257551, 517 ^ [_257547, _257549, _257551], 518 ^ [_257547, _257549, _257551]) = a_select3(_257551, 518 ^ [_257547, _257549, _257551], 517 ^ [_257547, _257549, _257551])]], 531 ^ _238837 : [(532 ^ _238837) ^ [] : [-(leq(n0, 529 ^ [_257547, _257549, _257551]))], (534 ^ _238837) ^ [] : [-(leq(529 ^ [_257547, _257549, _257551], _257547))], (536 ^ _238837) ^ [] : [-(leq(n0, 530 ^ [_257547, _257549, _257551]))], (538 ^ _238837) ^ [] : [-(leq(530 ^ [_257547, _257549, _257551], _257547))], (540 ^ _238837) ^ [] : [a_select3(_257549, 529 ^ [_257547, _257549, _257551], 530 ^ [_257547, _257549, _257551]) = a_select3(_257549, 530 ^ [_257547, _257549, _257551], 529 ^ [_257547, _257549, _257551])]], 541 ^ _238837 : [(542 ^ _238837) ^ [_259056, _259058] : [-(a_select3(tptp_madd(_257551, _257549), _259058, _259056) = a_select3(tptp_madd(_257551, _257549), _259056, _259058)), leq(n0, _259058), leq(_259058, _257547), leq(n0, _259056), leq(_259056, _257547)]]], (560 ^ _238837) ^ [_259642, _259644, _259646] : [565 ^ _238837 : [(566 ^ _238837) ^ [] : [-(leq(n0, 563 ^ [_259642, _259644, _259646]))], (568 ^ _238837) ^ [] : [-(leq(563 ^ [_259642, _259644, _259646], _259642))], (570 ^ _238837) ^ [] : [-(leq(n0, 564 ^ [_259642, _259644, _259646]))], (572 ^ _238837) ^ [] : [-(leq(564 ^ [_259642, _259644, _259646], _259642))], (574 ^ _238837) ^ [] : [a_select3(_259646, 563 ^ [_259642, _259644, _259646], 564 ^ [_259642, _259644, _259646]) = a_select3(_259646, 564 ^ [_259642, _259644, _259646], 563 ^ [_259642, _259644, _259646])]], 577 ^ _238837 : [(578 ^ _238837) ^ [] : [-(leq(n0, 575 ^ [_259642, _259644, _259646]))], (580 ^ _238837) ^ [] : [-(leq(575 ^ [_259642, _259644, _259646], _259642))], (582 ^ _238837) ^ [] : [-(leq(n0, 576 ^ [_259642, _259644, _259646]))], (584 ^ _238837) ^ [] : [-(leq(576 ^ [_259642, _259644, _259646], _259642))], (586 ^ _238837) ^ [] : [a_select3(_259644, 575 ^ [_259642, _259644, _259646], 576 ^ [_259642, _259644, _259646]) = a_select3(_259644, 576 ^ [_259642, _259644, _259646], 575 ^ [_259642, _259644, _259646])]], 587 ^ _238837 : [(588 ^ _238837) ^ [_261151, _261153] : [-(a_select3(tptp_msub(_259646, _259644), _261153, _261151) = a_select3(tptp_msub(_259646, _259644), _261151, _261153)), leq(n0, _261153), leq(_261153, _259642), leq(n0, _261151), leq(_261151, _259642)]]], (606 ^ _238837) ^ [_261737, _261739, _261741] : [609 ^ _238837 : [(610 ^ _238837) ^ [] : [-(leq(n0, 607 ^ [_261737, _261739, _261741]))], (612 ^ _238837) ^ [] : [-(leq(607 ^ [_261737, _261739, _261741], _261737))], (614 ^ _238837) ^ [] : [-(leq(n0, 608 ^ [_261737, _261739, _261741]))], (616 ^ _238837) ^ [] : [-(leq(608 ^ [_261737, _261739, _261741], _261737))], (618 ^ _238837) ^ [] : [a_select3(_261739, 607 ^ [_261737, _261739, _261741], 608 ^ [_261737, _261739, _261741]) = a_select3(_261739, 608 ^ [_261737, _261739, _261741], 607 ^ [_261737, _261739, _261741])]], 619 ^ _238837 : [(620 ^ _238837) ^ [_262550, _262552] : [-(a_select3(tptp_mmul(_261741, tptp_mmul(_261739, trans(_261741))), _262552, _262550) = a_select3(tptp_mmul(_261741, tptp_mmul(_261739, trans(_261741))), _262550, _262552)), leq(n0, _262552), leq(_262552, _261737), leq(n0, _262550), leq(_262550, _261737)]]], (638 ^ _238837) ^ [_263169, _263171, _263173, _263175] : [641 ^ _238837 : [(642 ^ _238837) ^ [] : [-(leq(n0, 639 ^ [_263169, _263171, _263173, _263175]))], (644 ^ _238837) ^ [] : [-(leq(639 ^ [_263169, _263171, _263173, _263175], _263169))], (646 ^ _238837) ^ [] : [-(leq(n0, 640 ^ [_263169, _263171, _263173, _263175]))], (648 ^ _238837) ^ [] : [-(leq(640 ^ [_263169, _263171, _263173, _263175], _263169))], (650 ^ _238837) ^ [] : [a_select3(_263173, 639 ^ [_263169, _263171, _263173, _263175], 640 ^ [_263169, _263171, _263173, _263175]) = a_select3(_263173, 640 ^ [_263169, _263171, _263173, _263175], 639 ^ [_263169, _263171, _263173, _263175])]], 651 ^ _238837 : [(652 ^ _238837) ^ [_264026, _264028] : [-(a_select3(tptp_mmul(_263175, tptp_mmul(_263173, trans(_263175))), _264028, _264026) = a_select3(tptp_mmul(_263175, tptp_mmul(_263173, trans(_263175))), _264026, _264028)), leq(n0, _264028), leq(_264028, _263171), leq(n0, _264026), leq(_264026, _263171)]]], (670 ^ _238837) ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735] : [675 ^ _238837 : [(676 ^ _238837) ^ [] : [-(leq(n0, 673 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (678 ^ _238837) ^ [] : [-(leq(673 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264721))], (680 ^ _238837) ^ [] : [-(leq(n0, 674 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (682 ^ _238837) ^ [] : [-(leq(674 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264721))], (684 ^ _238837) ^ [] : [a_select3(_264729, 673 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 674 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]) = a_select3(_264729, 674 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 673 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735])]], 689 ^ _238837 : [(690 ^ _238837) ^ [] : [-(leq(n0, 687 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (692 ^ _238837) ^ [] : [-(leq(687 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264723))], (694 ^ _238837) ^ [] : [-(leq(n0, 688 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (696 ^ _238837) ^ [] : [-(leq(688 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264723))], (698 ^ _238837) ^ [] : [a_select3(_264735, 687 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 688 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]) = a_select3(_264735, 688 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 687 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735])]], 701 ^ _238837 : [(702 ^ _238837) ^ [] : [-(leq(n0, 699 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (704 ^ _238837) ^ [] : [-(leq(699 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264723))], (706 ^ _238837) ^ [] : [-(leq(n0, 700 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]))], (708 ^ _238837) ^ [] : [-(leq(700 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], _264723))], (710 ^ _238837) ^ [] : [a_select3(_264725, 699 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 700 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735]) = a_select3(_264725, 700 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735], 699 ^ [_264721, _264723, _264725, _264727, _264729, _264731, _264733, _264735])]], 711 ^ _238837 : [(712 ^ _238837) ^ [_267649, _267651] : [-(a_select3(tptp_madd(_264735, tptp_mmul(_264733, tptp_mmul(tptp_madd(tptp_mmul(_264731, tptp_mmul(_264729, trans(_264731))), tptp_mmul(_264727, tptp_mmul(_264725, trans(_264727)))), trans(_264733)))), _267651, _267649) = a_select3(tptp_madd(_264735, tptp_mmul(_264733, tptp_mmul(tptp_madd(tptp_mmul(_264731, tptp_mmul(_264729, trans(_264731))), tptp_mmul(_264727, tptp_mmul(_264725, trans(_264727)))), trans(_264733)))), _267649, _267651)), leq(n0, _267651), leq(_267651, _264723), leq(n0, _267649), leq(_267649, _264723)]]], (730 ^ _238837) ^ [_268402] : [-(sum(n0, tptp_minus_1, _268402) = n0)], (732 ^ _238837) ^ [_268484] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _268484))], (734 ^ _238837) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _238837) ^ [_268619] : [-(plus(_268619, n1) = succ(_268619))], (738 ^ _238837) ^ [_268702] : [-(plus(n1, _268702) = succ(_268702))], (740 ^ _238837) ^ [_268785] : [-(plus(_268785, n2) = succ(succ(_268785)))], (742 ^ _238837) ^ [_268870] : [-(plus(n2, _268870) = succ(succ(_268870)))], (744 ^ _238837) ^ [_268955] : [-(plus(_268955, n3) = succ(succ(succ(_268955))))], (746 ^ _238837) ^ [_269042] : [-(plus(n3, _269042) = succ(succ(succ(_269042))))], (748 ^ _238837) ^ [_269129] : [-(plus(_269129, n4) = succ(succ(succ(succ(_269129)))))], (750 ^ _238837) ^ [_269218] : [-(plus(n4, _269218) = succ(succ(succ(succ(_269218)))))], (752 ^ _238837) ^ [_269307] : [-(plus(_269307, n5) = succ(succ(succ(succ(succ(_269307))))))], (754 ^ _238837) ^ [_269398] : [-(plus(n5, _269398) = succ(succ(succ(succ(succ(_269398))))))], (756 ^ _238837) ^ [_269489] : [-(minus(_269489, n1) = pred(_269489))], (758 ^ _238837) ^ [_269572] : [-(pred(succ(_269572)) = _269572)], (760 ^ _238837) ^ [_269654] : [-(succ(pred(_269654)) = _269654)], (762 ^ _238837) ^ [_269794, _269796] : [leq(succ(_269796), succ(_269794)), -(leq(_269796, _269794))], (768 ^ _238837) ^ [_269964, _269966] : [leq(_269966, _269964), -(leq(succ(_269966), succ(_269964)))], (774 ^ _238837) ^ [_270184, _270186] : [leq(succ(_270186), _270184), -(gt(_270184, _270186))], (780 ^ _238837) ^ [_270398, _270400] : [leq(minus(_270400, _270398), _270400), -(leq(n0, _270398))], (786 ^ _238837) ^ [_270627, _270629, _270631, _270633] : [-(a_select3(tptp_update3(_270633, _270631, _270629, _270627), _270631, _270629) = _270627)], (788 ^ _238837) ^ [_270819, _270821, _270823, _270825, _270827, _270829, _270831] : [-(a_select3(tptp_update3(_270823, _270831, _270829, _270819), _270827, _270825) = _270821), -(_270831 = _270827), _270829 = _270825, a_select3(_270823, _270827, _270825) = _270821], (802 ^ _238837) ^ [_271362, _271364, _271366, _271368, _271370, _271372] : [-(a_select3(tptp_update3(_271364, _271368, _271366, _271362), _271372, _271370) = _271362), 807 ^ _238837 : [(808 ^ _238837) ^ [] : [-(leq(n0, 805 ^ [_271362, _271364, _271366, _271368, _271370, _271372]))], (810 ^ _238837) ^ [] : [-(leq(n0, 806 ^ [_271362, _271364, _271366, _271368, _271370, _271372]))], (812 ^ _238837) ^ [] : [-(leq(805 ^ [_271362, _271364, _271366, _271368, _271370, _271372], _271368))], (814 ^ _238837) ^ [] : [-(leq(806 ^ [_271362, _271364, _271366, _271368, _271370, _271372], _271366))], (816 ^ _238837) ^ [] : [a_select3(_271364, 805 ^ [_271362, _271364, _271366, _271368, _271370, _271372], 806 ^ [_271362, _271364, _271366, _271368, _271370, _271372]) = _271362]], leq(n0, _271372), leq(_271372, _271368), leq(n0, _271370), leq(_271370, _271366)], (834 ^ _238837) ^ [_272704, _272706, _272708] : [-(a_select2(tptp_update2(_272708, _272706, _272704), _272706) = _272704)], (836 ^ _238837) ^ [_272864, _272866, _272868, _272870, _272872] : [-(a_select2(tptp_update2(_272868, _272872, _272864), _272870) = _272866), -(_272872 = _272870), a_select2(_272868, _272870) = _272866], (865 ^ _238837) ^ [] : [-(true)], (867 ^ _238837) ^ [] : [def = use], (846 ^ _238837) ^ [_273244, _273246, _273248, _273250] : [-(a_select2(tptp_update2(_273246, _273248, _273244), _273250) = _273244), 850 ^ _238837 : [(851 ^ _238837) ^ [] : [-(leq(n0, 849 ^ [_273244, _273246, _273248, _273250]))], (853 ^ _238837) ^ [] : [-(leq(849 ^ [_273244, _273246, _273248, _273250], _273248))], (855 ^ _238837) ^ [] : [a_select2(_273246, 849 ^ [_273244, _273246, _273248, _273250]) = _273244]], leq(n0, _273250), leq(_273250, _273248)]], input).
% 0.34/1.38  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(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), 1237 : a_select3(simplex7_init, 1231 ^ [], 1226 ^ []) = init, 1246 : a_select2(s_values7_init, 1240 ^ []) = init, 1255 : a_select2(s_center7_init, 1249 ^ []) = init, 1264 : a_select2(s_try7_init, 1258 ^ []) = init, 1268 : pvar1400_init = init, 1268 : pvar1401_init = init, 1268 : pvar1402_init = init],start(1161 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(init = init)],extension(1071 ^ 1)).
% 0.34/1.38  ncf('1.2',plain,[-(s_best7_init = init)],extension(1073 ^ 1)).
% 0.34/1.38  ncf('1.3',plain,[-(s_sworst7_init = init)],extension(1075 ^ 1)).
% 0.34/1.38  ncf('1.4',plain,[-(s_worst7_init = init)],extension(1077 ^ 1)).
% 0.34/1.38  ncf('1.5',plain,[-(leq(n0, s_best7))],extension(1079 ^ 1)).
% 0.34/1.38  ncf('1.6',plain,[-(leq(n0, s_sworst7))],extension(1081 ^ 1)).
% 0.34/1.38  ncf('1.7',plain,[-(leq(n0, s_worst7))],extension(1083 ^ 1)).
% 0.34/1.38  ncf('1.8',plain,[-(leq(n0, pv19))],extension(1085 ^ 1)).
% 0.34/1.38  ncf('1.9',plain,[-(leq(n0, pv20))],extension(1087 ^ 1)).
% 0.34/1.38  ncf('1.10',plain,[-(leq(n0, pv1376))],extension(1089 ^ 1)).
% 0.34/1.38  ncf('1.11',plain,[-(leq(s_best7, n3))],extension(1091 ^ 1)).
% 0.34/1.38  ncf('1.12',plain,[-(leq(s_sworst7, n3))],extension(1093 ^ 1)).
% 0.34/1.38  ncf('1.13',plain,[-(leq(s_worst7, n3))],extension(1095 ^ 1)).
% 0.34/1.38  ncf('1.14',plain,[-(leq(pv19, minus(n410, n1)))],extension(1097 ^ 1)).
% 0.34/1.38  ncf('1.15',plain,[-(leq(pv20, minus(n330, n1)))],extension(1099 ^ 1)).
% 0.34/1.38  ncf('1.16',plain,[-(leq(pv1376, n3))],extension(1101 ^ 1)).
% 0.34/1.38  ncf('1.17',plain,[-(a_select3(simplex7_init, 1231 ^ [], 1226 ^ []) = init), 1111 : leq(n0, 1231 ^ []), 1111 : leq(1231 ^ [], n3), 1111 : leq(n0, 1226 ^ []), 1111 : leq(1226 ^ [], n2)],extension(1103 ^ 3,bind([[_280457, _280685], [1226 ^ [], 1231 ^ []]]))).
% 0.34/1.38  ncf('1.17.1',plain,[-(leq(n0, 1231 ^ []))],extension(1233 ^ 6)).
% 0.34/1.38  ncf('1.17.2',plain,[-(leq(1231 ^ [], n3))],extension(1235 ^ 6)).
% 0.34/1.38  ncf('1.17.3',plain,[-(leq(n0, 1226 ^ []))],extension(1228 ^ 4)).
% 0.34/1.38  ncf('1.17.4',plain,[-(leq(1226 ^ [], n2))],extension(1230 ^ 4)).
% 0.34/1.38  ncf('1.18',plain,[-(a_select2(s_values7_init, 1240 ^ []) = init), leq(n0, 1240 ^ []), leq(1240 ^ [], n3)],extension(1121 ^ 3,bind([[_280987], [1240 ^ []]]))).
% 0.34/1.38  ncf('1.18.1',plain,[-(leq(n0, 1240 ^ []))],extension(1242 ^ 4)).
% 0.34/1.38  ncf('1.18.2',plain,[-(leq(1240 ^ [], n3))],extension(1244 ^ 4)).
% 0.34/1.38  ncf('1.19',plain,[-(a_select2(s_center7_init, 1249 ^ []) = init), leq(n0, 1249 ^ []), leq(1249 ^ [], n2)],extension(1131 ^ 3,bind([[_281268], [1249 ^ []]]))).
% 0.34/1.38  ncf('1.19.1',plain,[-(leq(n0, 1249 ^ []))],extension(1251 ^ 4)).
% 0.34/1.38  ncf('1.19.2',plain,[-(leq(1249 ^ [], n2))],extension(1253 ^ 4)).
% 0.34/1.38  ncf('1.20',plain,[-(a_select2(s_try7_init, 1258 ^ []) = init), leq(n0, 1258 ^ []), leq(1258 ^ [], minus(n3, n1))],extension(1141 ^ 3,bind([[_281549], [1258 ^ []]]))).
% 0.34/1.38  ncf('1.20.1',plain,[-(leq(n0, 1258 ^ []))],extension(1260 ^ 4)).
% 0.34/1.38  ncf('1.20.2',plain,[-(leq(1258 ^ [], minus(n3, n1)))],extension(1262 ^ 4)).
% 0.34/1.38  ncf('1.21',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.34/1.38  ncf('1.21.1',plain,[-(gt(loopcounter, n1))],extension(1266 ^ 4)).
% 0.34/1.38  ncf('1.22',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.34/1.38  ncf('1.22.1',plain,[-(gt(loopcounter, n1))],extension(1266 ^ 4)).
% 0.34/1.38  ncf('1.23',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.34/1.38  ncf('1.23.1',plain,[-(gt(loopcounter, n1))],extension(1266 ^ 4)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------