%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV025+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV025+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n010.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 02:18:57 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(1161 ^ _237785) ^ [] : [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(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), 1219 ^ _237785 : [(1220 ^ _237785) ^ [] : [-(leq(n0, 1218 ^ []))], (1222 ^ _237785) ^ [] : [-(leq(1218 ^ [], n2))], (1225 ^ _237785) ^ [] : [-(leq(n0, 1223 ^ []))], (1227 ^ _237785) ^ [] : [-(leq(1223 ^ [], n3))], (1229 ^ _237785) ^ [] : [a_select3(simplex7_init, 1223 ^ [], 1218 ^ []) = init]], 1233 ^ _237785 : [(1234 ^ _237785) ^ [] : [-(leq(n0, 1232 ^ []))], (1236 ^ _237785) ^ [] : [-(leq(1232 ^ [], n3))], (1238 ^ _237785) ^ [] : [a_select2(s_values7_init, 1232 ^ []) = init]], 1242 ^ _237785 : [(1243 ^ _237785) ^ [] : [-(leq(n0, 1241 ^ []))], (1245 ^ _237785) ^ [] : [-(leq(1241 ^ [], n2))], (1247 ^ _237785) ^ [] : [a_select2(s_center7_init, 1241 ^ []) = init]], 1251 ^ _237785 : [(1252 ^ _237785) ^ [] : [-(leq(n0, 1250 ^ []))], (1254 ^ _237785) ^ [] : [-(leq(1250 ^ [], minus(n3, n1)))], (1256 ^ _237785) ^ [] : [a_select2(s_try7_init, 1250 ^ []) = init]], 1257 ^ _237785 : [(1258 ^ _237785) ^ [] : [-(gt(loopcounter, n1))], (1260 ^ _237785) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]], (1071 ^ _237785) ^ [] : [-(init = init)], (1073 ^ _237785) ^ [] : [-(s_best7_init = init)], (1075 ^ _237785) ^ [] : [-(s_sworst7_init = init)], (1077 ^ _237785) ^ [] : [-(s_worst7_init = init)], (1079 ^ _237785) ^ [] : [-(leq(n0, s_best7))], (1081 ^ _237785) ^ [] : [-(leq(n0, s_sworst7))], (1083 ^ _237785) ^ [] : [-(leq(n0, s_worst7))], (1085 ^ _237785) ^ [] : [-(leq(n0, pv7))], (1087 ^ _237785) ^ [] : [-(leq(n0, pv19))], (1089 ^ _237785) ^ [] : [-(leq(n0, pv20))], (1091 ^ _237785) ^ [] : [-(leq(s_best7, n3))], (1093 ^ _237785) ^ [] : [-(leq(s_sworst7, n3))], (1095 ^ _237785) ^ [] : [-(leq(s_worst7, n3))], (1097 ^ _237785) ^ [] : [-(leq(pv7, minus(n410, n1)))], (1099 ^ _237785) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1101 ^ _237785) ^ [] : [-(leq(pv20, minus(n330, n1)))], (1103 ^ _237785) ^ [_279405] : [leq(n0, _279405), leq(_279405, n2), 1110 ^ _237785 : [(1111 ^ _237785) ^ [_279633] : [-(a_select3(simplex7_init, _279633, _279405) = init), leq(n0, _279633), leq(_279633, n3)]]], (1121 ^ _237785) ^ [_279935] : [-(a_select2(s_values7_init, _279935) = init), leq(n0, _279935), leq(_279935, n3)], (1131 ^ _237785) ^ [_280216] : [-(a_select2(s_center7_init, _280216) = init), leq(n0, _280216), leq(_280216, n2)], (1151 ^ _237785) ^ [] : [gt(loopcounter, n1), 1154 ^ _237785 : [(1155 ^ _237785) ^ [] : [-(pvar1400_init = init)], (1157 ^ _237785) ^ [] : [-(pvar1401_init = init)], (1159 ^ _237785) ^ [] : [-(pvar1402_init = init)]]], (1141 ^ _237785) ^ [_280497] : [-(a_select2(s_try7_init, _280497) = init), leq(n0, _280497), leq(_280497, minus(n3, n1))], (2 ^ _237785) ^ [_237929] : [-(_237929 = _237929)], (4 ^ _237785) ^ [_238036, _238038] : [_238038 = _238036, -(_238036 = _238038)], (10 ^ _237785) ^ [_238240, _238242, _238244] : [-(_238244 = _238240), _238244 = _238242, _238242 = _238240], (20 ^ _237785) ^ [_238581, _238583, _238585, _238587] : [-(lt(_238585, _238581)), lt(_238587, _238583), _238587 = _238585, _238583 = _238581], (34 ^ _237785) ^ [_239025, _239027, _239029, _239031] : [-(geq(_239029, _239025)), geq(_239031, _239027), _239031 = _239029, _239027 = _239025], (48 ^ _237785) ^ [_239469, _239471, _239473, _239475] : [-(leq(_239473, _239469)), leq(_239475, _239471), _239475 = _239473, _239471 = _239469], (62 ^ _237785) ^ [_239893, _239895, _239897, _239899] : [-(gt(_239897, _239893)), gt(_239899, _239895), _239899 = _239897, _239895 = _239893], (76 ^ _237785) ^ [_240349, _240351, _240353, _240355] : [-(uniform_int_rnd(_240355, _240351) = uniform_int_rnd(_240353, _240349)), _240355 = _240353, _240351 = _240349], (86 ^ _237785) ^ [_240708, _240710, _240712, _240714] : [-(tptp_const_array1(_240714, _240710) = tptp_const_array1(_240712, _240708)), _240714 = _240712, _240710 = _240708], (96 ^ _237785) ^ [_241095, _241097, _241099, _241101, _241103, _241105] : [-(tptp_const_array2(_241105, _241101, _241097) = tptp_const_array2(_241103, _241099, _241095)), _241105 = _241103, _241101 = _241099, _241097 = _241095], (110 ^ _237785) ^ [_241583, _241585, _241587, _241589] : [-(dim(_241589, _241585) = dim(_241587, _241583)), _241589 = _241587, _241585 = _241583], (120 ^ _237785) ^ [_241914, _241916] : [_241916 = _241914, -(inv(_241916) = inv(_241914))], (126 ^ _237785) ^ [_242160, _242162, _242164, _242166] : [-(tptp_msub(_242166, _242162) = tptp_msub(_242164, _242160)), _242166 = _242164, _242162 = _242160], (136 ^ _237785) ^ [_242519, _242521, _242523, _242525] : [-(tptp_madd(_242525, _242521) = tptp_madd(_242523, _242519)), _242525 = _242523, _242521 = _242519], (146 ^ _237785) ^ [_242878, _242880, _242882, _242884] : [-(tptp_mmul(_242884, _242880) = tptp_mmul(_242882, _242878)), _242884 = _242882, _242880 = _242878], (156 ^ _237785) ^ [_243209, _243211] : [_243211 = _243209, -(trans(_243211) = trans(_243209))], (162 ^ _237785) ^ [_243483, _243485, _243487, _243489, _243491, _243493] : [-(sum(_243493, _243489, _243485) = sum(_243491, _243487, _243483)), _243493 = _243491, _243489 = _243487, _243485 = _243483], (176 ^ _237785) ^ [_243971, _243973, _243975, _243977] : [-(plus(_243977, _243973) = plus(_243975, _243971)), _243977 = _243975, _243973 = _243971], (186 ^ _237785) ^ [_244302, _244304] : [_244304 = _244302, -(pred(_244304) = pred(_244302))], (192 ^ _237785) ^ [_244604, _244606, _244608, _244610, _244612, _244614, _244616, _244618] : [-(tptp_update3(_244618, _244614, _244610, _244606) = tptp_update3(_244616, _244612, _244608, _244604)), _244618 = _244616, _244614 = _244612, _244610 = _244608, _244606 = _244604], (210 ^ _237785) ^ [_245265, _245267, _245269, _245271, _245273, _245275] : [-(tptp_update2(_245275, _245271, _245267) = tptp_update2(_245273, _245269, _245265)), _245275 = _245273, _245271 = _245269, _245267 = _245265], (224 ^ _237785) ^ [_245725, _245727] : [_245727 = _245725, -(succ(_245727) = succ(_245725))], (230 ^ _237785) ^ [_245999, _246001, _246003, _246005, _246007, _246009] : [-(a_select3(_246009, _246005, _246001) = a_select3(_246007, _246003, _245999)), _246009 = _246007, _246005 = _246003, _246001 = _245999], (244 ^ _237785) ^ [_246487, _246489, _246491, _246493] : [-(minus(_246493, _246489) = minus(_246491, _246487)), _246493 = _246491, _246489 = _246487], (254 ^ _237785) ^ [_246826, _246828, _246830, _246832] : [-(a_select2(_246832, _246828) = a_select2(_246830, _246826)), _246832 = _246830, _246828 = _246826], (869 ^ _237785) ^ [] : [-(gt(n5, n4))], (871 ^ _237785) ^ [] : [-(gt(n330, n4))], (873 ^ _237785) ^ [] : [-(gt(n410, n4))], (875 ^ _237785) ^ [] : [-(gt(n330, n5))], (877 ^ _237785) ^ [] : [-(gt(n410, n5))], (879 ^ _237785) ^ [] : [-(gt(n410, n330))], (881 ^ _237785) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _237785) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _237785) ^ [] : [-(gt(n330, tptp_minus_1))], (887 ^ _237785) ^ [] : [-(gt(n410, tptp_minus_1))], (889 ^ _237785) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _237785) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _237785) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _237785) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _237785) ^ [] : [-(gt(n4, n0))], (899 ^ _237785) ^ [] : [-(gt(n5, n0))], (901 ^ _237785) ^ [] : [-(gt(n330, n0))], (903 ^ _237785) ^ [] : [-(gt(n410, n0))], (905 ^ _237785) ^ [] : [-(gt(n1, n0))], (907 ^ _237785) ^ [] : [-(gt(n2, n0))], (909 ^ _237785) ^ [] : [-(gt(n3, n0))], (911 ^ _237785) ^ [] : [-(gt(n4, n1))], (913 ^ _237785) ^ [] : [-(gt(n5, n1))], (915 ^ _237785) ^ [] : [-(gt(n330, n1))], (917 ^ _237785) ^ [] : [-(gt(n410, n1))], (919 ^ _237785) ^ [] : [-(gt(n2, n1))], (921 ^ _237785) ^ [] : [-(gt(n3, n1))], (923 ^ _237785) ^ [] : [-(gt(n4, n2))], (925 ^ _237785) ^ [] : [-(gt(n5, n2))], (927 ^ _237785) ^ [] : [-(gt(n330, n2))], (929 ^ _237785) ^ [] : [-(gt(n410, n2))], (931 ^ _237785) ^ [] : [-(gt(n3, n2))], (933 ^ _237785) ^ [] : [-(gt(n4, n3))], (935 ^ _237785) ^ [] : [-(gt(n5, n3))], (937 ^ _237785) ^ [] : [-(gt(n330, n3))], (939 ^ _237785) ^ [] : [-(gt(n410, n3))], (941 ^ _237785) ^ [_275090] : [leq(n0, _275090), leq(_275090, n4), -(_275090 = n0), -(_275090 = n1), -(_275090 = n2), -(_275090 = n3), -(_275090 = n4)], (967 ^ _237785) ^ [_275711] : [leq(n0, _275711), leq(_275711, n5), -(_275711 = n0), -(_275711 = n1), -(_275711 = n2), -(_275711 = n3), -(_275711 = n4), -(_275711 = n5)], (997 ^ _237785) ^ [_276418] : [-(_276418 = n0), leq(n0, _276418), leq(_276418, n0)], (1007 ^ _237785) ^ [_276693] : [leq(n0, _276693), leq(_276693, n1), -(_276693 = n0), -(_276693 = n1)], (1021 ^ _237785) ^ [_277056] : [leq(n0, _277056), leq(_277056, n2), -(_277056 = n0), -(_277056 = n1), -(_277056 = n2)], (1061 ^ _237785) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1063 ^ _237785) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1065 ^ _237785) ^ [] : [-(succ(n0) = n1)], (1067 ^ _237785) ^ [] : [-(succ(succ(n0)) = n2)], (1069 ^ _237785) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1039 ^ _237785) ^ [_277505] : [leq(n0, _277505), leq(_277505, n3), -(_277505 = n0), -(_277505 = n1), -(_277505 = n2), -(_277505 = n3)], (264 ^ _237785) ^ [_247257, _247259] : [-(gt(_247259, _247257)), -(gt(_247257, _247259)), -(_247259 = _247257)], (274 ^ _237785) ^ [_247572, _247574, _247576] : [-(gt(_247576, _247572)), gt(_247576, _247574), gt(_247574, _247572)], (284 ^ _237785) ^ [_247851] : [gt(_247851, _247851)], (286 ^ _237785) ^ [_247929] : [-(leq(_247929, _247929))], (288 ^ _237785) ^ [_248050, _248052, _248054] : [-(leq(_248054, _248050)), leq(_248054, _248052), leq(_248052, _248050)], (298 ^ _237785) ^ [_248388, _248390] : [lt(_248390, _248388), -(gt(_248388, _248390))], (304 ^ _237785) ^ [_248550, _248552] : [gt(_248550, _248552), -(lt(_248552, _248550))], (310 ^ _237785) ^ [_248791, _248793] : [geq(_248793, _248791), -(leq(_248791, _248793))], (316 ^ _237785) ^ [_248953, _248955] : [leq(_248953, _248955), -(geq(_248955, _248953))], (322 ^ _237785) ^ [_249165, _249167] : [gt(_249165, _249167), -(leq(_249167, _249165))], (328 ^ _237785) ^ [_249375, _249377] : [-(gt(_249375, _249377)), leq(_249377, _249375), -(_249377 = _249375)], (338 ^ _237785) ^ [_249706, _249708] : [leq(_249708, pred(_249706)), -(gt(_249706, _249708))], (344 ^ _237785) ^ [_249872, _249874] : [gt(_249872, _249874), -(leq(_249874, pred(_249872)))], (350 ^ _237785) ^ [_250059] : [-(gt(succ(_250059), _250059))], (352 ^ _237785) ^ [_250168, _250170] : [leq(_250170, _250168), -(leq(_250170, succ(_250168)))], (358 ^ _237785) ^ [_250411, _250413] : [leq(_250413, _250411), -(gt(succ(_250411), _250413))], (364 ^ _237785) ^ [_250577, _250579] : [gt(succ(_250577), _250579), -(leq(_250579, _250577))], (370 ^ _237785) ^ [_250793, _250795] : [leq(n0, _250795), -(leq(uniform_int_rnd(_250793, _250795), _250795))], (376 ^ _237785) ^ [_251009, _251011] : [leq(n0, _251011), -(leq(n0, uniform_int_rnd(_251009, _251011)))], (382 ^ _237785) ^ [_251253, _251255, _251257, _251259] : [-(a_select2(tptp_const_array1(dim(_251257, _251255), _251253), _251259) = _251253), leq(_251257, _251259), leq(_251259, _251255)], (392 ^ _237785) ^ [_251660, _251662, _251664, _251666, _251668, _251670, _251672] : [-(a_select3(tptp_const_array2(dim(_251670, _251668), dim(_251664, _251662), _251660), _251672, _251666) = _251660), leq(_251670, _251672), leq(_251672, _251668), leq(_251664, _251666), leq(_251666, _251662)], (410 ^ _237785) ^ [_252255, _252257] : [413 ^ _237785 : [(414 ^ _237785) ^ [] : [-(leq(n0, 411 ^ [_252255, _252257]))], (416 ^ _237785) ^ [] : [-(leq(411 ^ [_252255, _252257], _252255))], (418 ^ _237785) ^ [] : [-(leq(n0, 412 ^ [_252255, _252257]))], (420 ^ _237785) ^ [] : [-(leq(412 ^ [_252255, _252257], _252255))], (422 ^ _237785) ^ [] : [a_select3(_252257, 411 ^ [_252255, _252257], 412 ^ [_252255, _252257]) = a_select3(_252257, 412 ^ [_252255, _252257], 411 ^ [_252255, _252257])]], 423 ^ _237785 : [(424 ^ _237785) ^ [_253012, _253014] : [-(a_select3(trans(_252257), _253014, _253012) = a_select3(trans(_252257), _253012, _253014)), leq(n0, _253014), leq(_253014, _252255), leq(n0, _253012), leq(_253012, _252255)]]], (442 ^ _237785) ^ [_253559, _253561] : [445 ^ _237785 : [(446 ^ _237785) ^ [] : [-(leq(n0, 443 ^ [_253559, _253561]))], (448 ^ _237785) ^ [] : [-(leq(443 ^ [_253559, _253561], _253559))], (450 ^ _237785) ^ [] : [-(leq(n0, 444 ^ [_253559, _253561]))], (452 ^ _237785) ^ [] : [-(leq(444 ^ [_253559, _253561], _253559))], (454 ^ _237785) ^ [] : [a_select3(_253561, 443 ^ [_253559, _253561], 444 ^ [_253559, _253561]) = a_select3(_253561, 444 ^ [_253559, _253561], 443 ^ [_253559, _253561])]], 455 ^ _237785 : [(456 ^ _237785) ^ [_254316, _254318] : [-(a_select3(inv(_253561), _254318, _254316) = a_select3(inv(_253561), _254316, _254318)), leq(n0, _254318), leq(_254318, _253559), leq(n0, _254316), leq(_254316, _253559)]]], (474 ^ _237785) ^ [_254863, _254865] : [477 ^ _237785 : [(478 ^ _237785) ^ [] : [-(leq(n0, 475 ^ [_254863, _254865]))], (480 ^ _237785) ^ [] : [-(leq(475 ^ [_254863, _254865], _254863))], (482 ^ _237785) ^ [] : [-(leq(n0, 476 ^ [_254863, _254865]))], (484 ^ _237785) ^ [] : [-(leq(476 ^ [_254863, _254865], _254863))], (486 ^ _237785) ^ [] : [a_select3(_254865, 475 ^ [_254863, _254865], 476 ^ [_254863, _254865]) = a_select3(_254865, 476 ^ [_254863, _254865], 475 ^ [_254863, _254865])]], 487 ^ _237785 : [(488 ^ _237785) ^ [_255676, _255678, _255680, _255682] : [-(a_select3(tptp_update3(_254865, _255678, _255678, _255676), _255682, _255680) = a_select3(tptp_update3(_254865, _255678, _255678, _255676), _255680, _255682)), leq(n0, _255682), leq(_255682, _254863), leq(n0, _255680), leq(_255680, _254863), leq(n0, _255678), leq(_255678, _254863)]]], (514 ^ _237785) ^ [_256495, _256497, _256499] : [519 ^ _237785 : [(520 ^ _237785) ^ [] : [-(leq(n0, 517 ^ [_256495, _256497, _256499]))], (522 ^ _237785) ^ [] : [-(leq(517 ^ [_256495, _256497, _256499], _256495))], (524 ^ _237785) ^ [] : [-(leq(n0, 518 ^ [_256495, _256497, _256499]))], (526 ^ _237785) ^ [] : [-(leq(518 ^ [_256495, _256497, _256499], _256495))], (528 ^ _237785) ^ [] : [a_select3(_256499, 517 ^ [_256495, _256497, _256499], 518 ^ [_256495, _256497, _256499]) = a_select3(_256499, 518 ^ [_256495, _256497, _256499], 517 ^ [_256495, _256497, _256499])]], 531 ^ _237785 : [(532 ^ _237785) ^ [] : [-(leq(n0, 529 ^ [_256495, _256497, _256499]))], (534 ^ _237785) ^ [] : [-(leq(529 ^ [_256495, _256497, _256499], _256495))], (536 ^ _237785) ^ [] : [-(leq(n0, 530 ^ [_256495, _256497, _256499]))], (538 ^ _237785) ^ [] : [-(leq(530 ^ [_256495, _256497, _256499], _256495))], (540 ^ _237785) ^ [] : [a_select3(_256497, 529 ^ [_256495, _256497, _256499], 530 ^ [_256495, _256497, _256499]) = a_select3(_256497, 530 ^ [_256495, _256497, _256499], 529 ^ [_256495, _256497, _256499])]], 541 ^ _237785 : [(542 ^ _237785) ^ [_258004, _258006] : [-(a_select3(tptp_madd(_256499, _256497), _258006, _258004) = a_select3(tptp_madd(_256499, _256497), _258004, _258006)), leq(n0, _258006), leq(_258006, _256495), leq(n0, _258004), leq(_258004, _256495)]]], (560 ^ _237785) ^ [_258590, _258592, _258594] : [565 ^ _237785 : [(566 ^ _237785) ^ [] : [-(leq(n0, 563 ^ [_258590, _258592, _258594]))], (568 ^ _237785) ^ [] : [-(leq(563 ^ [_258590, _258592, _258594], _258590))], (570 ^ _237785) ^ [] : [-(leq(n0, 564 ^ [_258590, _258592, _258594]))], (572 ^ _237785) ^ [] : [-(leq(564 ^ [_258590, _258592, _258594], _258590))], (574 ^ _237785) ^ [] : [a_select3(_258594, 563 ^ [_258590, _258592, _258594], 564 ^ [_258590, _258592, _258594]) = a_select3(_258594, 564 ^ [_258590, _258592, _258594], 563 ^ [_258590, _258592, _258594])]], 577 ^ _237785 : [(578 ^ _237785) ^ [] : [-(leq(n0, 575 ^ [_258590, _258592, _258594]))], (580 ^ _237785) ^ [] : [-(leq(575 ^ [_258590, _258592, _258594], _258590))], (582 ^ _237785) ^ [] : [-(leq(n0, 576 ^ [_258590, _258592, _258594]))], (584 ^ _237785) ^ [] : [-(leq(576 ^ [_258590, _258592, _258594], _258590))], (586 ^ _237785) ^ [] : [a_select3(_258592, 575 ^ [_258590, _258592, _258594], 576 ^ [_258590, _258592, _258594]) = a_select3(_258592, 576 ^ [_258590, _258592, _258594], 575 ^ [_258590, _258592, _258594])]], 587 ^ _237785 : [(588 ^ _237785) ^ [_260099, _260101] : [-(a_select3(tptp_msub(_258594, _258592), _260101, _260099) = a_select3(tptp_msub(_258594, _258592), _260099, _260101)), leq(n0, _260101), leq(_260101, _258590), leq(n0, _260099), leq(_260099, _258590)]]], (606 ^ _237785) ^ [_260685, _260687, _260689] : [609 ^ _237785 : [(610 ^ _237785) ^ [] : [-(leq(n0, 607 ^ [_260685, _260687, _260689]))], (612 ^ _237785) ^ [] : [-(leq(607 ^ [_260685, _260687, _260689], _260685))], (614 ^ _237785) ^ [] : [-(leq(n0, 608 ^ [_260685, _260687, _260689]))], (616 ^ _237785) ^ [] : [-(leq(608 ^ [_260685, _260687, _260689], _260685))], (618 ^ _237785) ^ [] : [a_select3(_260687, 607 ^ [_260685, _260687, _260689], 608 ^ [_260685, _260687, _260689]) = a_select3(_260687, 608 ^ [_260685, _260687, _260689], 607 ^ [_260685, _260687, _260689])]], 619 ^ _237785 : [(620 ^ _237785) ^ [_261498, _261500] : [-(a_select3(tptp_mmul(_260689, tptp_mmul(_260687, trans(_260689))), _261500, _261498) = a_select3(tptp_mmul(_260689, tptp_mmul(_260687, trans(_260689))), _261498, _261500)), leq(n0, _261500), leq(_261500, _260685), leq(n0, _261498), leq(_261498, _260685)]]], (638 ^ _237785) ^ [_262117, _262119, _262121, _262123] : [641 ^ _237785 : [(642 ^ _237785) ^ [] : [-(leq(n0, 639 ^ [_262117, _262119, _262121, _262123]))], (644 ^ _237785) ^ [] : [-(leq(639 ^ [_262117, _262119, _262121, _262123], _262117))], (646 ^ _237785) ^ [] : [-(leq(n0, 640 ^ [_262117, _262119, _262121, _262123]))], (648 ^ _237785) ^ [] : [-(leq(640 ^ [_262117, _262119, _262121, _262123], _262117))], (650 ^ _237785) ^ [] : [a_select3(_262121, 639 ^ [_262117, _262119, _262121, _262123], 640 ^ [_262117, _262119, _262121, _262123]) = a_select3(_262121, 640 ^ [_262117, _262119, _262121, _262123], 639 ^ [_262117, _262119, _262121, _262123])]], 651 ^ _237785 : [(652 ^ _237785) ^ [_262974, _262976] : [-(a_select3(tptp_mmul(_262123, tptp_mmul(_262121, trans(_262123))), _262976, _262974) = a_select3(tptp_mmul(_262123, tptp_mmul(_262121, trans(_262123))), _262974, _262976)), leq(n0, _262976), leq(_262976, _262119), leq(n0, _262974), leq(_262974, _262119)]]], (670 ^ _237785) ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683] : [675 ^ _237785 : [(676 ^ _237785) ^ [] : [-(leq(n0, 673 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (678 ^ _237785) ^ [] : [-(leq(673 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263669))], (680 ^ _237785) ^ [] : [-(leq(n0, 674 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (682 ^ _237785) ^ [] : [-(leq(674 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263669))], (684 ^ _237785) ^ [] : [a_select3(_263677, 673 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 674 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]) = a_select3(_263677, 674 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 673 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683])]], 689 ^ _237785 : [(690 ^ _237785) ^ [] : [-(leq(n0, 687 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (692 ^ _237785) ^ [] : [-(leq(687 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263671))], (694 ^ _237785) ^ [] : [-(leq(n0, 688 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (696 ^ _237785) ^ [] : [-(leq(688 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263671))], (698 ^ _237785) ^ [] : [a_select3(_263683, 687 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 688 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]) = a_select3(_263683, 688 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 687 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683])]], 701 ^ _237785 : [(702 ^ _237785) ^ [] : [-(leq(n0, 699 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (704 ^ _237785) ^ [] : [-(leq(699 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263671))], (706 ^ _237785) ^ [] : [-(leq(n0, 700 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]))], (708 ^ _237785) ^ [] : [-(leq(700 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], _263671))], (710 ^ _237785) ^ [] : [a_select3(_263673, 699 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 700 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683]) = a_select3(_263673, 700 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683], 699 ^ [_263669, _263671, _263673, _263675, _263677, _263679, _263681, _263683])]], 711 ^ _237785 : [(712 ^ _237785) ^ [_266597, _266599] : [-(a_select3(tptp_madd(_263683, tptp_mmul(_263681, tptp_mmul(tptp_madd(tptp_mmul(_263679, tptp_mmul(_263677, trans(_263679))), tptp_mmul(_263675, tptp_mmul(_263673, trans(_263675)))), trans(_263681)))), _266599, _266597) = a_select3(tptp_madd(_263683, tptp_mmul(_263681, tptp_mmul(tptp_madd(tptp_mmul(_263679, tptp_mmul(_263677, trans(_263679))), tptp_mmul(_263675, tptp_mmul(_263673, trans(_263675)))), trans(_263681)))), _266597, _266599)), leq(n0, _266599), leq(_266599, _263671), leq(n0, _266597), leq(_266597, _263671)]]], (730 ^ _237785) ^ [_267350] : [-(sum(n0, tptp_minus_1, _267350) = n0)], (732 ^ _237785) ^ [_267432] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _267432))], (734 ^ _237785) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _237785) ^ [_267567] : [-(plus(_267567, n1) = succ(_267567))], (738 ^ _237785) ^ [_267650] : [-(plus(n1, _267650) = succ(_267650))], (740 ^ _237785) ^ [_267733] : [-(plus(_267733, n2) = succ(succ(_267733)))], (742 ^ _237785) ^ [_267818] : [-(plus(n2, _267818) = succ(succ(_267818)))], (744 ^ _237785) ^ [_267903] : [-(plus(_267903, n3) = succ(succ(succ(_267903))))], (746 ^ _237785) ^ [_267990] : [-(plus(n3, _267990) = succ(succ(succ(_267990))))], (748 ^ _237785) ^ [_268077] : [-(plus(_268077, n4) = succ(succ(succ(succ(_268077)))))], (750 ^ _237785) ^ [_268166] : [-(plus(n4, _268166) = succ(succ(succ(succ(_268166)))))], (752 ^ _237785) ^ [_268255] : [-(plus(_268255, n5) = succ(succ(succ(succ(succ(_268255))))))], (754 ^ _237785) ^ [_268346] : [-(plus(n5, _268346) = succ(succ(succ(succ(succ(_268346))))))], (756 ^ _237785) ^ [_268437] : [-(minus(_268437, n1) = pred(_268437))], (758 ^ _237785) ^ [_268520] : [-(pred(succ(_268520)) = _268520)], (760 ^ _237785) ^ [_268602] : [-(succ(pred(_268602)) = _268602)], (762 ^ _237785) ^ [_268742, _268744] : [leq(succ(_268744), succ(_268742)), -(leq(_268744, _268742))], (768 ^ _237785) ^ [_268912, _268914] : [leq(_268914, _268912), -(leq(succ(_268914), succ(_268912)))], (774 ^ _237785) ^ [_269132, _269134] : [leq(succ(_269134), _269132), -(gt(_269132, _269134))], (780 ^ _237785) ^ [_269346, _269348] : [leq(minus(_269348, _269346), _269348), -(leq(n0, _269346))], (786 ^ _237785) ^ [_269575, _269577, _269579, _269581] : [-(a_select3(tptp_update3(_269581, _269579, _269577, _269575), _269579, _269577) = _269575)], (788 ^ _237785) ^ [_269767, _269769, _269771, _269773, _269775, _269777, _269779] : [-(a_select3(tptp_update3(_269771, _269779, _269777, _269767), _269775, _269773) = _269769), -(_269779 = _269775), _269777 = _269773, a_select3(_269771, _269775, _269773) = _269769], (802 ^ _237785) ^ [_270310, _270312, _270314, _270316, _270318, _270320] : [-(a_select3(tptp_update3(_270312, _270316, _270314, _270310), _270320, _270318) = _270310), 807 ^ _237785 : [(808 ^ _237785) ^ [] : [-(leq(n0, 805 ^ [_270310, _270312, _270314, _270316, _270318, _270320]))], (810 ^ _237785) ^ [] : [-(leq(n0, 806 ^ [_270310, _270312, _270314, _270316, _270318, _270320]))], (812 ^ _237785) ^ [] : [-(leq(805 ^ [_270310, _270312, _270314, _270316, _270318, _270320], _270316))], (814 ^ _237785) ^ [] : [-(leq(806 ^ [_270310, _270312, _270314, _270316, _270318, _270320], _270314))], (816 ^ _237785) ^ [] : [a_select3(_270312, 805 ^ [_270310, _270312, _270314, _270316, _270318, _270320], 806 ^ [_270310, _270312, _270314, _270316, _270318, _270320]) = _270310]], leq(n0, _270320), leq(_270320, _270316), leq(n0, _270318), leq(_270318, _270314)], (834 ^ _237785) ^ [_271652, _271654, _271656] : [-(a_select2(tptp_update2(_271656, _271654, _271652), _271654) = _271652)], (836 ^ _237785) ^ [_271812, _271814, _271816, _271818, _271820] : [-(a_select2(tptp_update2(_271816, _271820, _271812), _271818) = _271814), -(_271820 = _271818), a_select2(_271816, _271818) = _271814], (865 ^ _237785) ^ [] : [-(true)], (867 ^ _237785) ^ [] : [def = use], (846 ^ _237785) ^ [_272192, _272194, _272196, _272198] : [-(a_select2(tptp_update2(_272194, _272196, _272192), _272198) = _272192), 850 ^ _237785 : [(851 ^ _237785) ^ [] : [-(leq(n0, 849 ^ [_272192, _272194, _272196, _272198]))], (853 ^ _237785) ^ [] : [-(leq(849 ^ [_272192, _272194, _272196, _272198], _272196))], (855 ^ _237785) ^ [] : [a_select2(_272194, 849 ^ [_272192, _272194, _272196, _272198]) = _272192]], leq(n0, _272198), leq(_272198, _272196)]], input).
% 0.37/1.37  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(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), 1229 : a_select3(simplex7_init, 1223 ^ [], 1218 ^ []) = init, 1238 : a_select2(s_values7_init, 1232 ^ []) = init, 1247 : a_select2(s_center7_init, 1241 ^ []) = init, 1256 : a_select2(s_try7_init, 1250 ^ []) = init, 1260 : pvar1400_init = init, 1260 : pvar1401_init = init, 1260 : pvar1402_init = init],start(1161 ^ 0)).
% 0.37/1.37  ncf('1.1',plain,[-(init = init)],extension(1071 ^ 1)).
% 0.37/1.37  ncf('1.2',plain,[-(s_best7_init = init)],extension(1073 ^ 1)).
% 0.37/1.37  ncf('1.3',plain,[-(s_sworst7_init = init)],extension(1075 ^ 1)).
% 0.37/1.37  ncf('1.4',plain,[-(s_worst7_init = init)],extension(1077 ^ 1)).
% 0.37/1.37  ncf('1.5',plain,[-(leq(n0, s_best7))],extension(1079 ^ 1)).
% 0.37/1.37  ncf('1.6',plain,[-(leq(n0, s_sworst7))],extension(1081 ^ 1)).
% 0.37/1.37  ncf('1.7',plain,[-(leq(n0, s_worst7))],extension(1083 ^ 1)).
% 0.37/1.37  ncf('1.8',plain,[-(leq(n0, pv19))],extension(1087 ^ 1)).
% 0.37/1.37  ncf('1.9',plain,[-(leq(n0, pv20))],extension(1089 ^ 1)).
% 0.37/1.37  ncf('1.10',plain,[-(leq(s_best7, n3))],extension(1091 ^ 1)).
% 0.37/1.37  ncf('1.11',plain,[-(leq(s_sworst7, n3))],extension(1093 ^ 1)).
% 0.37/1.37  ncf('1.12',plain,[-(leq(s_worst7, n3))],extension(1095 ^ 1)).
% 0.37/1.37  ncf('1.13',plain,[-(leq(pv19, minus(n410, n1)))],extension(1099 ^ 1)).
% 0.37/1.37  ncf('1.14',plain,[-(leq(pv20, minus(n330, n1)))],extension(1101 ^ 1)).
% 0.37/1.37  ncf('1.15',plain,[-(a_select3(simplex7_init, 1223 ^ [], 1218 ^ []) = init), 1111 : leq(n0, 1223 ^ []), 1111 : leq(1223 ^ [], n3), 1111 : leq(n0, 1218 ^ []), 1111 : leq(1218 ^ [], n2)],extension(1103 ^ 3,bind([[_279405, _279633], [1218 ^ [], 1223 ^ []]]))).
% 0.37/1.37  ncf('1.15.1',plain,[-(leq(n0, 1223 ^ []))],extension(1225 ^ 6)).
% 0.37/1.37  ncf('1.15.2',plain,[-(leq(1223 ^ [], n3))],extension(1227 ^ 6)).
% 0.37/1.37  ncf('1.15.3',plain,[-(leq(n0, 1218 ^ []))],extension(1220 ^ 4)).
% 0.37/1.37  ncf('1.15.4',plain,[-(leq(1218 ^ [], n2))],extension(1222 ^ 4)).
% 0.37/1.37  ncf('1.16',plain,[-(a_select2(s_values7_init, 1232 ^ []) = init), leq(n0, 1232 ^ []), leq(1232 ^ [], n3)],extension(1121 ^ 3,bind([[_279935], [1232 ^ []]]))).
% 0.37/1.37  ncf('1.16.1',plain,[-(leq(n0, 1232 ^ []))],extension(1234 ^ 4)).
% 0.37/1.37  ncf('1.16.2',plain,[-(leq(1232 ^ [], n3))],extension(1236 ^ 4)).
% 0.37/1.37  ncf('1.17',plain,[-(a_select2(s_center7_init, 1241 ^ []) = init), leq(n0, 1241 ^ []), leq(1241 ^ [], n2)],extension(1131 ^ 3,bind([[_280216], [1241 ^ []]]))).
% 0.37/1.37  ncf('1.17.1',plain,[-(leq(n0, 1241 ^ []))],extension(1243 ^ 4)).
% 0.37/1.37  ncf('1.17.2',plain,[-(leq(1241 ^ [], n2))],extension(1245 ^ 4)).
% 0.37/1.37  ncf('1.18',plain,[-(a_select2(s_try7_init, 1250 ^ []) = init), leq(n0, 1250 ^ []), leq(1250 ^ [], minus(n3, n1))],extension(1141 ^ 3,bind([[_280497], [1250 ^ []]]))).
% 0.37/1.37  ncf('1.18.1',plain,[-(leq(n0, 1250 ^ []))],extension(1252 ^ 4)).
% 0.37/1.37  ncf('1.18.2',plain,[-(leq(1250 ^ [], minus(n3, n1)))],extension(1254 ^ 4)).
% 0.37/1.37  ncf('1.19',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.37/1.37  ncf('1.19.1',plain,[-(gt(loopcounter, n1))],extension(1258 ^ 4)).
% 0.37/1.37  ncf('1.20',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.37/1.37  ncf('1.20.1',plain,[-(gt(loopcounter, n1))],extension(1258 ^ 4)).
% 0.37/1.37  ncf('1.21',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1151 ^ 3)).
% 0.37/1.37  ncf('1.21.1',plain,[-(gt(loopcounter, n1))],extension(1258 ^ 4)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------