%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:19:57 EDT 2023

% Result   : Theorem 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV094+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:36:08 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(1107 ^ _289462) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1109 ^ _289462) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1111 ^ _289462) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1113 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1115 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1117 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1119 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1121 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1123 ^ _289462) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1125 ^ _289462) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1127 ^ _289462) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1129 ^ _289462) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1131 ^ _289462) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1133 ^ _289462) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1135 ^ _289462) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1137 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1139 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1141 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1143 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1145 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1147 ^ _289462) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1149 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1151 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1153 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1155 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1157 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1159 ^ _289462) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1161 ^ _289462) ^ [] : [-(leq(n0, pv5))], (1163 ^ _289462) ^ [] : [-(leq(n0, pv51))], (1165 ^ _289462) ^ [] : [-(leq(n0, pv52))], (1167 ^ _289462) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1169 ^ _289462) ^ [] : [-(leq(pv51, minus(n6, n1)))], (1171 ^ _289462) ^ [] : [-(leq(pv52, minus(n6, n1)))], (1173 ^ _289462) ^ [_332833, _332835] : [1188 ^ _289462 : [(1189 ^ _289462) ^ [] : [-(a_select3(u_defuse, _332835, _332833) = use)], (1191 ^ _289462) ^ [] : [-(a_select3(z_defuse, _332835, _332833) = use)]], leq(n0, _332835), leq(n0, _332833), leq(_332835, n2), leq(_332833, minus(pv5, n1))], (1193 ^ _289462) ^ [] : [1194 ^ _289462 : [(1195 ^ _289462) ^ [] : [pv51 = pv52], (1197 ^ _289462) ^ [] : [a_select2(rho_defuse, n0) = use, a_select2(rho_defuse, n1) = use, a_select2(rho_defuse, n2) = use, a_select2(sigma_defuse, n0) = use, a_select2(sigma_defuse, n1) = use, a_select2(sigma_defuse, n2) = use, a_select2(sigma_defuse, n3) = use, a_select2(sigma_defuse, n4) = use, a_select2(sigma_defuse, n5) = use, a_select3(u_defuse, n0, n0) = use, a_select3(u_defuse, n1, n0) = use, a_select3(u_defuse, n2, n0) = use, a_select2(xinit_defuse, n3) = use, a_select2(xinit_defuse, n4) = use, a_select2(xinit_defuse, n5) = use, a_select2(xinit_mean_defuse, n0) = use, a_select2(xinit_mean_defuse, n1) = use, a_select2(xinit_mean_defuse, n2) = use, a_select2(xinit_mean_defuse, n3) = use, a_select2(xinit_mean_defuse, n4) = use, a_select2(xinit_mean_defuse, n5) = use, a_select2(xinit_noise_defuse, n0) = use, a_select2(xinit_noise_defuse, n1) = use, a_select2(xinit_noise_defuse, n2) = use, a_select2(xinit_noise_defuse, n3) = use, a_select2(xinit_noise_defuse, n4) = use, a_select2(xinit_noise_defuse, n5) = use, leq(n0, pv5), leq(n0, pv51), leq(pv5, minus(n999, n1)), leq(pv51, minus(n6, n1)), 1322 ^ _289462 : [(1323 ^ _289462) ^ [] : [-(leq(n0, 1320 ^ []))], (1325 ^ _289462) ^ [] : [-(leq(n0, 1321 ^ []))], (1327 ^ _289462) ^ [] : [-(leq(1320 ^ [], n2))], (1329 ^ _289462) ^ [] : [-(leq(1321 ^ [], minus(pv5, n1)))], (1331 ^ _289462) ^ [] : [a_select3(u_defuse, 1320 ^ [], 1321 ^ []) = use, a_select3(z_defuse, 1320 ^ [], 1321 ^ []) = use]]]], 1336 ^ _289462 : [(1337 ^ _289462) ^ [] : [-(pv51 = pv52)], (1339 ^ _289462) ^ [] : [a_select2(rho_defuse, n0) = use, a_select2(rho_defuse, n1) = use, a_select2(rho_defuse, n2) = use, a_select2(sigma_defuse, n0) = use, a_select2(sigma_defuse, n1) = use, a_select2(sigma_defuse, n2) = use, a_select2(sigma_defuse, n3) = use, a_select2(sigma_defuse, n4) = use, a_select2(sigma_defuse, n5) = use, a_select3(u_defuse, n0, n0) = use, a_select3(u_defuse, n1, n0) = use, a_select3(u_defuse, n2, n0) = use, a_select2(xinit_defuse, n3) = use, a_select2(xinit_defuse, n4) = use, a_select2(xinit_defuse, n5) = use, a_select2(xinit_mean_defuse, n0) = use, a_select2(xinit_mean_defuse, n1) = use, a_select2(xinit_mean_defuse, n2) = use, a_select2(xinit_mean_defuse, n3) = use, a_select2(xinit_mean_defuse, n4) = use, a_select2(xinit_mean_defuse, n5) = use, a_select2(xinit_noise_defuse, n0) = use, a_select2(xinit_noise_defuse, n1) = use, a_select2(xinit_noise_defuse, n2) = use, a_select2(xinit_noise_defuse, n3) = use, a_select2(xinit_noise_defuse, n4) = use, a_select2(xinit_noise_defuse, n5) = use, leq(n0, pv5), leq(n0, pv51), leq(pv5, minus(n999, n1)), leq(pv51, minus(n6, n1)), 1464 ^ _289462 : [(1465 ^ _289462) ^ [] : [-(leq(n0, 1462 ^ []))], (1467 ^ _289462) ^ [] : [-(leq(n0, 1463 ^ []))], (1469 ^ _289462) ^ [] : [-(leq(1462 ^ [], n2))], (1471 ^ _289462) ^ [] : [-(leq(1463 ^ [], minus(pv5, n1)))], (1473 ^ _289462) ^ [] : [a_select3(u_defuse, 1462 ^ [], 1463 ^ []) = use, a_select3(z_defuse, 1462 ^ [], 1463 ^ []) = use]]]]], (2 ^ _289462) ^ [_289606] : [-(_289606 = _289606)], (4 ^ _289462) ^ [_289713, _289715] : [_289715 = _289713, -(_289713 = _289715)], (10 ^ _289462) ^ [_289917, _289919, _289921] : [-(_289921 = _289917), _289921 = _289919, _289919 = _289917], (20 ^ _289462) ^ [_290258, _290260, _290262, _290264] : [-(lt(_290262, _290258)), lt(_290264, _290260), _290264 = _290262, _290260 = _290258], (34 ^ _289462) ^ [_290702, _290704, _290706, _290708] : [-(geq(_290706, _290702)), geq(_290708, _290704), _290708 = _290706, _290704 = _290702], (48 ^ _289462) ^ [_291146, _291148, _291150, _291152] : [-(gt(_291150, _291146)), gt(_291152, _291148), _291152 = _291150, _291148 = _291146], (62 ^ _289462) ^ [_291570, _291572, _291574, _291576] : [-(leq(_291574, _291570)), leq(_291576, _291572), _291576 = _291574, _291572 = _291570], (76 ^ _289462) ^ [_292026, _292028, _292030, _292032] : [-(uniform_int_rnd(_292032, _292028) = uniform_int_rnd(_292030, _292026)), _292032 = _292030, _292028 = _292026], (86 ^ _289462) ^ [_292385, _292387, _292389, _292391] : [-(tptp_const_array1(_292391, _292387) = tptp_const_array1(_292389, _292385)), _292391 = _292389, _292387 = _292385], (96 ^ _289462) ^ [_292772, _292774, _292776, _292778, _292780, _292782] : [-(tptp_const_array2(_292782, _292778, _292774) = tptp_const_array2(_292780, _292776, _292772)), _292782 = _292780, _292778 = _292776, _292774 = _292772], (110 ^ _289462) ^ [_293260, _293262, _293264, _293266] : [-(dim(_293266, _293262) = dim(_293264, _293260)), _293266 = _293264, _293262 = _293260], (120 ^ _289462) ^ [_293591, _293593] : [_293593 = _293591, -(inv(_293593) = inv(_293591))], (126 ^ _289462) ^ [_293837, _293839, _293841, _293843] : [-(tptp_msub(_293843, _293839) = tptp_msub(_293841, _293837)), _293843 = _293841, _293839 = _293837], (136 ^ _289462) ^ [_294196, _294198, _294200, _294202] : [-(tptp_madd(_294202, _294198) = tptp_madd(_294200, _294196)), _294202 = _294200, _294198 = _294196], (146 ^ _289462) ^ [_294555, _294557, _294559, _294561] : [-(tptp_mmul(_294561, _294557) = tptp_mmul(_294559, _294555)), _294561 = _294559, _294557 = _294555], (156 ^ _289462) ^ [_294886, _294888] : [_294888 = _294886, -(trans(_294888) = trans(_294886))], (162 ^ _289462) ^ [_295160, _295162, _295164, _295166, _295168, _295170] : [-(sum(_295170, _295166, _295162) = sum(_295168, _295164, _295160)), _295170 = _295168, _295166 = _295164, _295162 = _295160], (176 ^ _289462) ^ [_295648, _295650, _295652, _295654] : [-(plus(_295654, _295650) = plus(_295652, _295648)), _295654 = _295652, _295650 = _295648], (186 ^ _289462) ^ [_295979, _295981] : [_295981 = _295979, -(pred(_295981) = pred(_295979))], (192 ^ _289462) ^ [_296281, _296283, _296285, _296287, _296289, _296291, _296293, _296295] : [-(tptp_update3(_296295, _296291, _296287, _296283) = tptp_update3(_296293, _296289, _296285, _296281)), _296295 = _296293, _296291 = _296289, _296287 = _296285, _296283 = _296281], (210 ^ _289462) ^ [_296942, _296944, _296946, _296948, _296950, _296952] : [-(tptp_update2(_296952, _296948, _296944) = tptp_update2(_296950, _296946, _296942)), _296952 = _296950, _296948 = _296946, _296944 = _296942], (224 ^ _289462) ^ [_297402, _297404] : [_297404 = _297402, -(succ(_297404) = succ(_297402))], (230 ^ _289462) ^ [_297648, _297650, _297652, _297654] : [-(a_select2(_297654, _297650) = a_select2(_297652, _297648)), _297654 = _297652, _297650 = _297648], (240 ^ _289462) ^ [_298007, _298009, _298011, _298013] : [-(minus(_298013, _298009) = minus(_298011, _298007)), _298013 = _298011, _298009 = _298007], (250 ^ _289462) ^ [_298374, _298376, _298378, _298380, _298382, _298384] : [-(a_select3(_298384, _298380, _298376) = a_select3(_298382, _298378, _298374)), _298384 = _298382, _298380 = _298378, _298376 = _298374], (869 ^ _289462) ^ [] : [-(gt(n5, n4))], (871 ^ _289462) ^ [] : [-(gt(n6, n4))], (873 ^ _289462) ^ [] : [-(gt(n999, n4))], (875 ^ _289462) ^ [] : [-(gt(n6, n5))], (877 ^ _289462) ^ [] : [-(gt(n999, n5))], (879 ^ _289462) ^ [] : [-(gt(n999, n6))], (881 ^ _289462) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _289462) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _289462) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _289462) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _289462) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _289462) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _289462) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _289462) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _289462) ^ [] : [-(gt(n4, n0))], (899 ^ _289462) ^ [] : [-(gt(n5, n0))], (901 ^ _289462) ^ [] : [-(gt(n6, n0))], (903 ^ _289462) ^ [] : [-(gt(n999, n0))], (905 ^ _289462) ^ [] : [-(gt(n1, n0))], (907 ^ _289462) ^ [] : [-(gt(n2, n0))], (909 ^ _289462) ^ [] : [-(gt(n3, n0))], (911 ^ _289462) ^ [] : [-(gt(n4, n1))], (913 ^ _289462) ^ [] : [-(gt(n5, n1))], (915 ^ _289462) ^ [] : [-(gt(n6, n1))], (917 ^ _289462) ^ [] : [-(gt(n999, n1))], (919 ^ _289462) ^ [] : [-(gt(n2, n1))], (921 ^ _289462) ^ [] : [-(gt(n3, n1))], (923 ^ _289462) ^ [] : [-(gt(n4, n2))], (925 ^ _289462) ^ [] : [-(gt(n5, n2))], (927 ^ _289462) ^ [] : [-(gt(n6, n2))], (929 ^ _289462) ^ [] : [-(gt(n999, n2))], (931 ^ _289462) ^ [] : [-(gt(n3, n2))], (933 ^ _289462) ^ [] : [-(gt(n4, n3))], (935 ^ _289462) ^ [] : [-(gt(n5, n3))], (937 ^ _289462) ^ [] : [-(gt(n6, n3))], (939 ^ _289462) ^ [] : [-(gt(n999, n3))], (941 ^ _289462) ^ [_326767] : [leq(n0, _326767), leq(_326767, n4), -(_326767 = n0), -(_326767 = n1), -(_326767 = n2), -(_326767 = n3), -(_326767 = n4)], (967 ^ _289462) ^ [_327388] : [leq(n0, _327388), leq(_327388, n5), -(_327388 = n0), -(_327388 = n1), -(_327388 = n2), -(_327388 = n3), -(_327388 = n4), -(_327388 = n5)], (997 ^ _289462) ^ [_328095] : [leq(n0, _328095), leq(_328095, n6), -(_328095 = n0), -(_328095 = n1), -(_328095 = n2), -(_328095 = n3), -(_328095 = n4), -(_328095 = n5), -(_328095 = n6)], (1031 ^ _289462) ^ [_328888] : [-(_328888 = n0), leq(n0, _328888), leq(_328888, n0)], (1041 ^ _289462) ^ [_329163] : [leq(n0, _329163), leq(_329163, n1), -(_329163 = n0), -(_329163 = n1)], (1055 ^ _289462) ^ [_329526] : [leq(n0, _329526), leq(_329526, n2), -(_329526 = n0), -(_329526 = n1), -(_329526 = n2)], (1095 ^ _289462) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _289462) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _289462) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _289462) ^ [] : [-(succ(n0) = n1)], (1103 ^ _289462) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _289462) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _289462) ^ [_329975] : [leq(n0, _329975), leq(_329975, n3), -(_329975 = n0), -(_329975 = n1), -(_329975 = n2), -(_329975 = n3)], (264 ^ _289462) ^ [_298934, _298936] : [-(gt(_298936, _298934)), -(gt(_298934, _298936)), -(_298936 = _298934)], (274 ^ _289462) ^ [_299249, _299251, _299253] : [-(gt(_299253, _299249)), gt(_299253, _299251), gt(_299251, _299249)], (284 ^ _289462) ^ [_299528] : [gt(_299528, _299528)], (286 ^ _289462) ^ [_299606] : [-(leq(_299606, _299606))], (288 ^ _289462) ^ [_299727, _299729, _299731] : [-(leq(_299731, _299727)), leq(_299731, _299729), leq(_299729, _299727)], (298 ^ _289462) ^ [_300065, _300067] : [lt(_300067, _300065), -(gt(_300065, _300067))], (304 ^ _289462) ^ [_300227, _300229] : [gt(_300227, _300229), -(lt(_300229, _300227))], (310 ^ _289462) ^ [_300468, _300470] : [geq(_300470, _300468), -(leq(_300468, _300470))], (316 ^ _289462) ^ [_300630, _300632] : [leq(_300630, _300632), -(geq(_300632, _300630))], (322 ^ _289462) ^ [_300842, _300844] : [gt(_300842, _300844), -(leq(_300844, _300842))], (328 ^ _289462) ^ [_301052, _301054] : [-(gt(_301052, _301054)), leq(_301054, _301052), -(_301054 = _301052)], (338 ^ _289462) ^ [_301383, _301385] : [leq(_301385, pred(_301383)), -(gt(_301383, _301385))], (344 ^ _289462) ^ [_301549, _301551] : [gt(_301549, _301551), -(leq(_301551, pred(_301549)))], (350 ^ _289462) ^ [_301736] : [-(gt(succ(_301736), _301736))], (352 ^ _289462) ^ [_301845, _301847] : [leq(_301847, _301845), -(leq(_301847, succ(_301845)))], (358 ^ _289462) ^ [_302088, _302090] : [leq(_302090, _302088), -(gt(succ(_302088), _302090))], (364 ^ _289462) ^ [_302254, _302256] : [gt(succ(_302254), _302256), -(leq(_302256, _302254))], (370 ^ _289462) ^ [_302470, _302472] : [leq(n0, _302472), -(leq(uniform_int_rnd(_302470, _302472), _302472))], (376 ^ _289462) ^ [_302686, _302688] : [leq(n0, _302688), -(leq(n0, uniform_int_rnd(_302686, _302688)))], (382 ^ _289462) ^ [_302930, _302932, _302934, _302936] : [-(a_select2(tptp_const_array1(dim(_302934, _302932), _302930), _302936) = _302930), leq(_302934, _302936), leq(_302936, _302932)], (392 ^ _289462) ^ [_303337, _303339, _303341, _303343, _303345, _303347, _303349] : [-(a_select3(tptp_const_array2(dim(_303347, _303345), dim(_303341, _303339), _303337), _303349, _303343) = _303337), leq(_303347, _303349), leq(_303349, _303345), leq(_303341, _303343), leq(_303343, _303339)], (410 ^ _289462) ^ [_303932, _303934] : [413 ^ _289462 : [(414 ^ _289462) ^ [] : [-(leq(n0, 411 ^ [_303932, _303934]))], (416 ^ _289462) ^ [] : [-(leq(411 ^ [_303932, _303934], _303932))], (418 ^ _289462) ^ [] : [-(leq(n0, 412 ^ [_303932, _303934]))], (420 ^ _289462) ^ [] : [-(leq(412 ^ [_303932, _303934], _303932))], (422 ^ _289462) ^ [] : [a_select3(_303934, 411 ^ [_303932, _303934], 412 ^ [_303932, _303934]) = a_select3(_303934, 412 ^ [_303932, _303934], 411 ^ [_303932, _303934])]], 423 ^ _289462 : [(424 ^ _289462) ^ [_304689, _304691] : [-(a_select3(trans(_303934), _304691, _304689) = a_select3(trans(_303934), _304689, _304691)), leq(n0, _304691), leq(_304691, _303932), leq(n0, _304689), leq(_304689, _303932)]]], (442 ^ _289462) ^ [_305236, _305238] : [445 ^ _289462 : [(446 ^ _289462) ^ [] : [-(leq(n0, 443 ^ [_305236, _305238]))], (448 ^ _289462) ^ [] : [-(leq(443 ^ [_305236, _305238], _305236))], (450 ^ _289462) ^ [] : [-(leq(n0, 444 ^ [_305236, _305238]))], (452 ^ _289462) ^ [] : [-(leq(444 ^ [_305236, _305238], _305236))], (454 ^ _289462) ^ [] : [a_select3(_305238, 443 ^ [_305236, _305238], 444 ^ [_305236, _305238]) = a_select3(_305238, 444 ^ [_305236, _305238], 443 ^ [_305236, _305238])]], 455 ^ _289462 : [(456 ^ _289462) ^ [_305993, _305995] : [-(a_select3(inv(_305238), _305995, _305993) = a_select3(inv(_305238), _305993, _305995)), leq(n0, _305995), leq(_305995, _305236), leq(n0, _305993), leq(_305993, _305236)]]], (474 ^ _289462) ^ [_306540, _306542] : [477 ^ _289462 : [(478 ^ _289462) ^ [] : [-(leq(n0, 475 ^ [_306540, _306542]))], (480 ^ _289462) ^ [] : [-(leq(475 ^ [_306540, _306542], _306540))], (482 ^ _289462) ^ [] : [-(leq(n0, 476 ^ [_306540, _306542]))], (484 ^ _289462) ^ [] : [-(leq(476 ^ [_306540, _306542], _306540))], (486 ^ _289462) ^ [] : [a_select3(_306542, 475 ^ [_306540, _306542], 476 ^ [_306540, _306542]) = a_select3(_306542, 476 ^ [_306540, _306542], 475 ^ [_306540, _306542])]], 487 ^ _289462 : [(488 ^ _289462) ^ [_307353, _307355, _307357, _307359] : [-(a_select3(tptp_update3(_306542, _307355, _307355, _307353), _307359, _307357) = a_select3(tptp_update3(_306542, _307355, _307355, _307353), _307357, _307359)), leq(n0, _307359), leq(_307359, _306540), leq(n0, _307357), leq(_307357, _306540), leq(n0, _307355), leq(_307355, _306540)]]], (514 ^ _289462) ^ [_308172, _308174, _308176] : [519 ^ _289462 : [(520 ^ _289462) ^ [] : [-(leq(n0, 517 ^ [_308172, _308174, _308176]))], (522 ^ _289462) ^ [] : [-(leq(517 ^ [_308172, _308174, _308176], _308172))], (524 ^ _289462) ^ [] : [-(leq(n0, 518 ^ [_308172, _308174, _308176]))], (526 ^ _289462) ^ [] : [-(leq(518 ^ [_308172, _308174, _308176], _308172))], (528 ^ _289462) ^ [] : [a_select3(_308176, 517 ^ [_308172, _308174, _308176], 518 ^ [_308172, _308174, _308176]) = a_select3(_308176, 518 ^ [_308172, _308174, _308176], 517 ^ [_308172, _308174, _308176])]], 531 ^ _289462 : [(532 ^ _289462) ^ [] : [-(leq(n0, 529 ^ [_308172, _308174, _308176]))], (534 ^ _289462) ^ [] : [-(leq(529 ^ [_308172, _308174, _308176], _308172))], (536 ^ _289462) ^ [] : [-(leq(n0, 530 ^ [_308172, _308174, _308176]))], (538 ^ _289462) ^ [] : [-(leq(530 ^ [_308172, _308174, _308176], _308172))], (540 ^ _289462) ^ [] : [a_select3(_308174, 529 ^ [_308172, _308174, _308176], 530 ^ [_308172, _308174, _308176]) = a_select3(_308174, 530 ^ [_308172, _308174, _308176], 529 ^ [_308172, _308174, _308176])]], 541 ^ _289462 : [(542 ^ _289462) ^ [_309681, _309683] : [-(a_select3(tptp_madd(_308176, _308174), _309683, _309681) = a_select3(tptp_madd(_308176, _308174), _309681, _309683)), leq(n0, _309683), leq(_309683, _308172), leq(n0, _309681), leq(_309681, _308172)]]], (560 ^ _289462) ^ [_310267, _310269, _310271] : [565 ^ _289462 : [(566 ^ _289462) ^ [] : [-(leq(n0, 563 ^ [_310267, _310269, _310271]))], (568 ^ _289462) ^ [] : [-(leq(563 ^ [_310267, _310269, _310271], _310267))], (570 ^ _289462) ^ [] : [-(leq(n0, 564 ^ [_310267, _310269, _310271]))], (572 ^ _289462) ^ [] : [-(leq(564 ^ [_310267, _310269, _310271], _310267))], (574 ^ _289462) ^ [] : [a_select3(_310271, 563 ^ [_310267, _310269, _310271], 564 ^ [_310267, _310269, _310271]) = a_select3(_310271, 564 ^ [_310267, _310269, _310271], 563 ^ [_310267, _310269, _310271])]], 577 ^ _289462 : [(578 ^ _289462) ^ [] : [-(leq(n0, 575 ^ [_310267, _310269, _310271]))], (580 ^ _289462) ^ [] : [-(leq(575 ^ [_310267, _310269, _310271], _310267))], (582 ^ _289462) ^ [] : [-(leq(n0, 576 ^ [_310267, _310269, _310271]))], (584 ^ _289462) ^ [] : [-(leq(576 ^ [_310267, _310269, _310271], _310267))], (586 ^ _289462) ^ [] : [a_select3(_310269, 575 ^ [_310267, _310269, _310271], 576 ^ [_310267, _310269, _310271]) = a_select3(_310269, 576 ^ [_310267, _310269, _310271], 575 ^ [_310267, _310269, _310271])]], 587 ^ _289462 : [(588 ^ _289462) ^ [_311776, _311778] : [-(a_select3(tptp_msub(_310271, _310269), _311778, _311776) = a_select3(tptp_msub(_310271, _310269), _311776, _311778)), leq(n0, _311778), leq(_311778, _310267), leq(n0, _311776), leq(_311776, _310267)]]], (606 ^ _289462) ^ [_312362, _312364, _312366] : [609 ^ _289462 : [(610 ^ _289462) ^ [] : [-(leq(n0, 607 ^ [_312362, _312364, _312366]))], (612 ^ _289462) ^ [] : [-(leq(607 ^ [_312362, _312364, _312366], _312362))], (614 ^ _289462) ^ [] : [-(leq(n0, 608 ^ [_312362, _312364, _312366]))], (616 ^ _289462) ^ [] : [-(leq(608 ^ [_312362, _312364, _312366], _312362))], (618 ^ _289462) ^ [] : [a_select3(_312364, 607 ^ [_312362, _312364, _312366], 608 ^ [_312362, _312364, _312366]) = a_select3(_312364, 608 ^ [_312362, _312364, _312366], 607 ^ [_312362, _312364, _312366])]], 619 ^ _289462 : [(620 ^ _289462) ^ [_313175, _313177] : [-(a_select3(tptp_mmul(_312366, tptp_mmul(_312364, trans(_312366))), _313177, _313175) = a_select3(tptp_mmul(_312366, tptp_mmul(_312364, trans(_312366))), _313175, _313177)), leq(n0, _313177), leq(_313177, _312362), leq(n0, _313175), leq(_313175, _312362)]]], (638 ^ _289462) ^ [_313794, _313796, _313798, _313800] : [641 ^ _289462 : [(642 ^ _289462) ^ [] : [-(leq(n0, 639 ^ [_313794, _313796, _313798, _313800]))], (644 ^ _289462) ^ [] : [-(leq(639 ^ [_313794, _313796, _313798, _313800], _313794))], (646 ^ _289462) ^ [] : [-(leq(n0, 640 ^ [_313794, _313796, _313798, _313800]))], (648 ^ _289462) ^ [] : [-(leq(640 ^ [_313794, _313796, _313798, _313800], _313794))], (650 ^ _289462) ^ [] : [a_select3(_313798, 639 ^ [_313794, _313796, _313798, _313800], 640 ^ [_313794, _313796, _313798, _313800]) = a_select3(_313798, 640 ^ [_313794, _313796, _313798, _313800], 639 ^ [_313794, _313796, _313798, _313800])]], 651 ^ _289462 : [(652 ^ _289462) ^ [_314651, _314653] : [-(a_select3(tptp_mmul(_313800, tptp_mmul(_313798, trans(_313800))), _314653, _314651) = a_select3(tptp_mmul(_313800, tptp_mmul(_313798, trans(_313800))), _314651, _314653)), leq(n0, _314653), leq(_314653, _313796), leq(n0, _314651), leq(_314651, _313796)]]], (670 ^ _289462) ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360] : [675 ^ _289462 : [(676 ^ _289462) ^ [] : [-(leq(n0, 673 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (678 ^ _289462) ^ [] : [-(leq(673 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315346))], (680 ^ _289462) ^ [] : [-(leq(n0, 674 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (682 ^ _289462) ^ [] : [-(leq(674 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315346))], (684 ^ _289462) ^ [] : [a_select3(_315354, 673 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 674 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]) = a_select3(_315354, 674 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 673 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360])]], 689 ^ _289462 : [(690 ^ _289462) ^ [] : [-(leq(n0, 687 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (692 ^ _289462) ^ [] : [-(leq(687 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315348))], (694 ^ _289462) ^ [] : [-(leq(n0, 688 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (696 ^ _289462) ^ [] : [-(leq(688 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315348))], (698 ^ _289462) ^ [] : [a_select3(_315360, 687 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 688 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]) = a_select3(_315360, 688 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 687 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360])]], 701 ^ _289462 : [(702 ^ _289462) ^ [] : [-(leq(n0, 699 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (704 ^ _289462) ^ [] : [-(leq(699 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315348))], (706 ^ _289462) ^ [] : [-(leq(n0, 700 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]))], (708 ^ _289462) ^ [] : [-(leq(700 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], _315348))], (710 ^ _289462) ^ [] : [a_select3(_315350, 699 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 700 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360]) = a_select3(_315350, 700 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360], 699 ^ [_315346, _315348, _315350, _315352, _315354, _315356, _315358, _315360])]], 711 ^ _289462 : [(712 ^ _289462) ^ [_318274, _318276] : [-(a_select3(tptp_madd(_315360, tptp_mmul(_315358, tptp_mmul(tptp_madd(tptp_mmul(_315356, tptp_mmul(_315354, trans(_315356))), tptp_mmul(_315352, tptp_mmul(_315350, trans(_315352)))), trans(_315358)))), _318276, _318274) = a_select3(tptp_madd(_315360, tptp_mmul(_315358, tptp_mmul(tptp_madd(tptp_mmul(_315356, tptp_mmul(_315354, trans(_315356))), tptp_mmul(_315352, tptp_mmul(_315350, trans(_315352)))), trans(_315358)))), _318274, _318276)), leq(n0, _318276), leq(_318276, _315348), leq(n0, _318274), leq(_318274, _315348)]]], (730 ^ _289462) ^ [_319027] : [-(sum(n0, tptp_minus_1, _319027) = n0)], (732 ^ _289462) ^ [_319109] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _319109))], (734 ^ _289462) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _289462) ^ [_319244] : [-(plus(_319244, n1) = succ(_319244))], (738 ^ _289462) ^ [_319327] : [-(plus(n1, _319327) = succ(_319327))], (740 ^ _289462) ^ [_319410] : [-(plus(_319410, n2) = succ(succ(_319410)))], (742 ^ _289462) ^ [_319495] : [-(plus(n2, _319495) = succ(succ(_319495)))], (744 ^ _289462) ^ [_319580] : [-(plus(_319580, n3) = succ(succ(succ(_319580))))], (746 ^ _289462) ^ [_319667] : [-(plus(n3, _319667) = succ(succ(succ(_319667))))], (748 ^ _289462) ^ [_319754] : [-(plus(_319754, n4) = succ(succ(succ(succ(_319754)))))], (750 ^ _289462) ^ [_319843] : [-(plus(n4, _319843) = succ(succ(succ(succ(_319843)))))], (752 ^ _289462) ^ [_319932] : [-(plus(_319932, n5) = succ(succ(succ(succ(succ(_319932))))))], (754 ^ _289462) ^ [_320023] : [-(plus(n5, _320023) = succ(succ(succ(succ(succ(_320023))))))], (756 ^ _289462) ^ [_320114] : [-(minus(_320114, n1) = pred(_320114))], (758 ^ _289462) ^ [_320197] : [-(pred(succ(_320197)) = _320197)], (760 ^ _289462) ^ [_320279] : [-(succ(pred(_320279)) = _320279)], (762 ^ _289462) ^ [_320419, _320421] : [leq(succ(_320421), succ(_320419)), -(leq(_320421, _320419))], (768 ^ _289462) ^ [_320589, _320591] : [leq(_320591, _320589), -(leq(succ(_320591), succ(_320589)))], (774 ^ _289462) ^ [_320809, _320811] : [leq(succ(_320811), _320809), -(gt(_320809, _320811))], (780 ^ _289462) ^ [_321023, _321025] : [leq(minus(_321025, _321023), _321025), -(leq(n0, _321023))], (786 ^ _289462) ^ [_321252, _321254, _321256, _321258] : [-(a_select3(tptp_update3(_321258, _321256, _321254, _321252), _321256, _321254) = _321252)], (788 ^ _289462) ^ [_321444, _321446, _321448, _321450, _321452, _321454, _321456] : [-(a_select3(tptp_update3(_321448, _321456, _321454, _321444), _321452, _321450) = _321446), -(_321456 = _321452), _321454 = _321450, a_select3(_321448, _321452, _321450) = _321446], (802 ^ _289462) ^ [_321987, _321989, _321991, _321993, _321995, _321997] : [-(a_select3(tptp_update3(_321989, _321993, _321991, _321987), _321997, _321995) = _321987), 807 ^ _289462 : [(808 ^ _289462) ^ [] : [-(leq(n0, 805 ^ [_321987, _321989, _321991, _321993, _321995, _321997]))], (810 ^ _289462) ^ [] : [-(leq(n0, 806 ^ [_321987, _321989, _321991, _321993, _321995, _321997]))], (812 ^ _289462) ^ [] : [-(leq(805 ^ [_321987, _321989, _321991, _321993, _321995, _321997], _321993))], (814 ^ _289462) ^ [] : [-(leq(806 ^ [_321987, _321989, _321991, _321993, _321995, _321997], _321991))], (816 ^ _289462) ^ [] : [a_select3(_321989, 805 ^ [_321987, _321989, _321991, _321993, _321995, _321997], 806 ^ [_321987, _321989, _321991, _321993, _321995, _321997]) = _321987]], leq(n0, _321997), leq(_321997, _321993), leq(n0, _321995), leq(_321995, _321991)], (834 ^ _289462) ^ [_323329, _323331, _323333] : [-(a_select2(tptp_update2(_323333, _323331, _323329), _323331) = _323329)], (836 ^ _289462) ^ [_323489, _323491, _323493, _323495, _323497] : [-(a_select2(tptp_update2(_323493, _323497, _323489), _323495) = _323491), -(_323497 = _323495), a_select2(_323493, _323495) = _323491], (865 ^ _289462) ^ [] : [-(true)], (867 ^ _289462) ^ [] : [def = use], (846 ^ _289462) ^ [_323869, _323871, _323873, _323875] : [-(a_select2(tptp_update2(_323871, _323873, _323869), _323875) = _323869), 850 ^ _289462 : [(851 ^ _289462) ^ [] : [-(leq(n0, 849 ^ [_323869, _323871, _323873, _323875]))], (853 ^ _289462) ^ [] : [-(leq(849 ^ [_323869, _323871, _323873, _323875], _323873))], (855 ^ _289462) ^ [] : [a_select2(_323871, 849 ^ [_323869, _323871, _323873, _323875]) = _323869]], leq(n0, _323875), leq(_323875, _323873)]], input).
% 0.36/1.37  ncf('1',plain,[1197 : a_select2(rho_defuse, n0) = use, 1197 : a_select2(rho_defuse, n1) = use, 1197 : a_select2(rho_defuse, n2) = use, 1197 : a_select2(sigma_defuse, n0) = use, 1197 : a_select2(sigma_defuse, n1) = use, 1197 : a_select2(sigma_defuse, n2) = use, 1197 : a_select2(sigma_defuse, n3) = use, 1197 : a_select2(sigma_defuse, n4) = use, 1197 : a_select2(sigma_defuse, n5) = use, 1197 : a_select3(u_defuse, n0, n0) = use, 1197 : a_select3(u_defuse, n1, n0) = use, 1197 : a_select3(u_defuse, n2, n0) = use, 1197 : a_select2(xinit_defuse, n3) = use, 1197 : a_select2(xinit_defuse, n4) = use, 1197 : a_select2(xinit_defuse, n5) = use, 1197 : a_select2(xinit_mean_defuse, n0) = use, 1197 : a_select2(xinit_mean_defuse, n1) = use, 1197 : a_select2(xinit_mean_defuse, n2) = use, 1197 : a_select2(xinit_mean_defuse, n3) = use, 1197 : a_select2(xinit_mean_defuse, n4) = use, 1197 : a_select2(xinit_mean_defuse, n5) = use, 1197 : a_select2(xinit_noise_defuse, n0) = use, 1197 : a_select2(xinit_noise_defuse, n1) = use, 1197 : a_select2(xinit_noise_defuse, n2) = use, 1197 : a_select2(xinit_noise_defuse, n3) = use, 1197 : a_select2(xinit_noise_defuse, n4) = use, 1197 : a_select2(xinit_noise_defuse, n5) = use, 1197 : leq(n0, pv5), 1197 : leq(n0, pv51), 1197 : leq(pv5, minus(n999, n1)), 1197 : leq(pv51, minus(n6, n1)), 1331 : a_select3(u_defuse, 1320 ^ [], 1321 ^ []) = use, 1331 : a_select3(z_defuse, 1320 ^ [], 1321 ^ []) = use, 1339 : a_select2(rho_defuse, n0) = use, 1339 : a_select2(rho_defuse, n1) = use, 1339 : a_select2(rho_defuse, n2) = use, 1339 : a_select2(sigma_defuse, n0) = use, 1339 : a_select2(sigma_defuse, n1) = use, 1339 : a_select2(sigma_defuse, n2) = use, 1339 : a_select2(sigma_defuse, n3) = use, 1339 : a_select2(sigma_defuse, n4) = use, 1339 : a_select2(sigma_defuse, n5) = use, 1339 : a_select3(u_defuse, n0, n0) = use, 1339 : a_select3(u_defuse, n1, n0) = use, 1339 : a_select3(u_defuse, n2, n0) = use, 1339 : a_select2(xinit_defuse, n3) = use, 1339 : a_select2(xinit_defuse, n4) = use, 1339 : a_select2(xinit_defuse, n5) = use, 1339 : a_select2(xinit_mean_defuse, n0) = use, 1339 : a_select2(xinit_mean_defuse, n1) = use, 1339 : a_select2(xinit_mean_defuse, n2) = use, 1339 : a_select2(xinit_mean_defuse, n3) = use, 1339 : a_select2(xinit_mean_defuse, n4) = use, 1339 : a_select2(xinit_mean_defuse, n5) = use, 1339 : a_select2(xinit_noise_defuse, n0) = use, 1339 : a_select2(xinit_noise_defuse, n1) = use, 1339 : a_select2(xinit_noise_defuse, n2) = use, 1339 : a_select2(xinit_noise_defuse, n3) = use, 1339 : a_select2(xinit_noise_defuse, n4) = use, 1339 : a_select2(xinit_noise_defuse, n5) = use, 1339 : leq(n0, pv5), 1339 : leq(n0, pv51), 1339 : leq(pv5, minus(n999, n1)), 1339 : leq(pv51, minus(n6, n1)), 1473 : a_select3(u_defuse, 1462 ^ [], 1463 ^ []) = use, 1473 : a_select3(z_defuse, 1462 ^ [], 1463 ^ []) = use],start(1193 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(a_select2(rho_defuse, n0) = use)],extension(1107 ^ 3)).
% 0.36/1.37  ncf('1.2',plain,[-(a_select2(rho_defuse, n1) = use)],extension(1109 ^ 3)).
% 0.36/1.37  ncf('1.3',plain,[-(a_select2(rho_defuse, n2) = use)],extension(1111 ^ 3)).
% 0.36/1.37  ncf('1.4',plain,[-(a_select2(sigma_defuse, n0) = use)],extension(1113 ^ 3)).
% 0.36/1.37  ncf('1.5',plain,[-(a_select2(sigma_defuse, n1) = use)],extension(1115 ^ 3)).
% 0.36/1.37  ncf('1.6',plain,[-(a_select2(sigma_defuse, n2) = use)],extension(1117 ^ 3)).
% 0.36/1.37  ncf('1.7',plain,[-(a_select2(sigma_defuse, n3) = use)],extension(1119 ^ 3)).
% 0.36/1.37  ncf('1.8',plain,[-(a_select2(sigma_defuse, n4) = use)],extension(1121 ^ 3)).
% 0.36/1.37  ncf('1.9',plain,[-(a_select2(sigma_defuse, n5) = use)],extension(1123 ^ 3)).
% 0.36/1.37  ncf('1.10',plain,[-(a_select3(u_defuse, n0, n0) = use)],extension(1125 ^ 3)).
% 0.36/1.37  ncf('1.11',plain,[-(a_select3(u_defuse, n1, n0) = use)],extension(1127 ^ 3)).
% 0.36/1.37  ncf('1.12',plain,[-(a_select3(u_defuse, n2, n0) = use)],extension(1129 ^ 3)).
% 0.36/1.37  ncf('1.13',plain,[-(a_select2(xinit_defuse, n3) = use)],extension(1131 ^ 3)).
% 0.36/1.37  ncf('1.14',plain,[-(a_select2(xinit_defuse, n4) = use)],extension(1133 ^ 3)).
% 0.36/1.37  ncf('1.15',plain,[-(a_select2(xinit_defuse, n5) = use)],extension(1135 ^ 3)).
% 0.36/1.37  ncf('1.16',plain,[-(a_select2(xinit_mean_defuse, n0) = use)],extension(1137 ^ 3)).
% 0.36/1.37  ncf('1.17',plain,[-(a_select2(xinit_mean_defuse, n1) = use)],extension(1139 ^ 3)).
% 0.36/1.37  ncf('1.18',plain,[-(a_select2(xinit_mean_defuse, n2) = use)],extension(1141 ^ 3)).
% 0.36/1.37  ncf('1.19',plain,[-(a_select2(xinit_mean_defuse, n3) = use)],extension(1143 ^ 3)).
% 0.36/1.37  ncf('1.20',plain,[-(a_select2(xinit_mean_defuse, n4) = use)],extension(1145 ^ 3)).
% 0.36/1.37  ncf('1.21',plain,[-(a_select2(xinit_mean_defuse, n5) = use)],extension(1147 ^ 3)).
% 0.36/1.37  ncf('1.22',plain,[-(a_select2(xinit_noise_defuse, n0) = use)],extension(1149 ^ 3)).
% 0.36/1.37  ncf('1.23',plain,[-(a_select2(xinit_noise_defuse, n1) = use)],extension(1151 ^ 3)).
% 0.36/1.37  ncf('1.24',plain,[-(a_select2(xinit_noise_defuse, n2) = use)],extension(1153 ^ 3)).
% 0.36/1.37  ncf('1.25',plain,[-(a_select2(xinit_noise_defuse, n3) = use)],extension(1155 ^ 3)).
% 0.36/1.37  ncf('1.26',plain,[-(a_select2(xinit_noise_defuse, n4) = use)],extension(1157 ^ 3)).
% 0.36/1.37  ncf('1.27',plain,[-(a_select2(xinit_noise_defuse, n5) = use)],extension(1159 ^ 3)).
% 0.36/1.37  ncf('1.28',plain,[-(leq(n0, pv5))],extension(1161 ^ 3)).
% 0.36/1.37  ncf('1.29',plain,[-(leq(n0, pv51))],extension(1163 ^ 3)).
% 0.36/1.37  ncf('1.30',plain,[-(leq(pv5, minus(n999, n1)))],extension(1167 ^ 3)).
% 0.36/1.37  ncf('1.31',plain,[-(leq(pv51, minus(n6, n1)))],extension(1169 ^ 3)).
% 0.36/1.37  ncf('1.32',plain,[-(a_select3(u_defuse, 1320 ^ [], 1321 ^ []) = use), leq(n0, 1320 ^ []), leq(n0, 1321 ^ []), leq(1320 ^ [], n2), leq(1321 ^ [], minus(pv5, n1))],extension(1173 ^ 5,bind([[_332833, _332835], [1321 ^ [], 1320 ^ []]]))).
% 0.36/1.37  ncf('1.32.1',plain,[-(leq(n0, 1320 ^ []))],extension(1323 ^ 6)).
% 0.36/1.37  ncf('1.32.2',plain,[-(leq(n0, 1321 ^ []))],extension(1325 ^ 6)).
% 0.36/1.37  ncf('1.32.3',plain,[-(leq(1320 ^ [], n2))],extension(1327 ^ 6)).
% 0.36/1.37  ncf('1.32.4',plain,[-(leq(1321 ^ [], minus(pv5, n1)))],extension(1329 ^ 6)).
% 0.36/1.37  ncf('1.33',plain,[-(a_select3(z_defuse, 1320 ^ [], 1321 ^ []) = use), leq(n0, 1320 ^ []), leq(n0, 1321 ^ []), leq(1320 ^ [], n2), leq(1321 ^ [], minus(pv5, n1))],extension(1173 ^ 5,bind([[_332833, _332835], [1321 ^ [], 1320 ^ []]]))).
% 0.36/1.37  ncf('1.33.1',plain,[-(leq(n0, 1320 ^ []))],extension(1323 ^ 6)).
% 0.36/1.37  ncf('1.33.2',plain,[-(leq(n0, 1321 ^ []))],extension(1325 ^ 6)).
% 0.36/1.37  ncf('1.33.3',plain,[-(leq(1320 ^ [], n2))],extension(1327 ^ 6)).
% 0.36/1.37  ncf('1.33.4',plain,[-(leq(1321 ^ [], minus(pv5, n1)))],extension(1329 ^ 6)).
% 0.36/1.37  ncf('1.34',plain,[-(a_select2(rho_defuse, n0) = use)],extension(1107 ^ 3)).
% 0.36/1.37  ncf('1.35',plain,[-(a_select2(rho_defuse, n1) = use)],extension(1109 ^ 3)).
% 0.36/1.37  ncf('1.36',plain,[-(a_select2(rho_defuse, n2) = use)],extension(1111 ^ 3)).
% 0.36/1.37  ncf('1.37',plain,[-(a_select2(sigma_defuse, n0) = use)],extension(1113 ^ 3)).
% 0.36/1.37  ncf('1.38',plain,[-(a_select2(sigma_defuse, n1) = use)],extension(1115 ^ 3)).
% 0.36/1.37  ncf('1.39',plain,[-(a_select2(sigma_defuse, n2) = use)],extension(1117 ^ 3)).
% 0.36/1.37  ncf('1.40',plain,[-(a_select2(sigma_defuse, n3) = use)],extension(1119 ^ 3)).
% 0.36/1.37  ncf('1.41',plain,[-(a_select2(sigma_defuse, n4) = use)],extension(1121 ^ 3)).
% 0.36/1.37  ncf('1.42',plain,[-(a_select2(sigma_defuse, n5) = use)],extension(1123 ^ 3)).
% 0.36/1.37  ncf('1.43',plain,[-(a_select3(u_defuse, n0, n0) = use)],extension(1125 ^ 3)).
% 0.36/1.37  ncf('1.44',plain,[-(a_select3(u_defuse, n1, n0) = use)],extension(1127 ^ 3)).
% 0.36/1.37  ncf('1.45',plain,[-(a_select3(u_defuse, n2, n0) = use)],extension(1129 ^ 3)).
% 0.36/1.37  ncf('1.46',plain,[-(a_select2(xinit_defuse, n3) = use)],extension(1131 ^ 3)).
% 0.36/1.37  ncf('1.47',plain,[-(a_select2(xinit_defuse, n4) = use)],extension(1133 ^ 3)).
% 0.36/1.37  ncf('1.48',plain,[-(a_select2(xinit_defuse, n5) = use)],extension(1135 ^ 3)).
% 0.36/1.37  ncf('1.49',plain,[-(a_select2(xinit_mean_defuse, n0) = use)],extension(1137 ^ 3)).
% 0.36/1.37  ncf('1.50',plain,[-(a_select2(xinit_mean_defuse, n1) = use)],extension(1139 ^ 3)).
% 0.36/1.37  ncf('1.51',plain,[-(a_select2(xinit_mean_defuse, n2) = use)],extension(1141 ^ 3)).
% 0.36/1.37  ncf('1.52',plain,[-(a_select2(xinit_mean_defuse, n3) = use)],extension(1143 ^ 3)).
% 0.36/1.37  ncf('1.53',plain,[-(a_select2(xinit_mean_defuse, n4) = use)],extension(1145 ^ 3)).
% 0.36/1.37  ncf('1.54',plain,[-(a_select2(xinit_mean_defuse, n5) = use)],extension(1147 ^ 3)).
% 0.36/1.37  ncf('1.55',plain,[-(a_select2(xinit_noise_defuse, n0) = use)],extension(1149 ^ 3)).
% 0.36/1.37  ncf('1.56',plain,[-(a_select2(xinit_noise_defuse, n1) = use)],extension(1151 ^ 3)).
% 0.36/1.37  ncf('1.57',plain,[-(a_select2(xinit_noise_defuse, n2) = use)],extension(1153 ^ 3)).
% 0.36/1.37  ncf('1.58',plain,[-(a_select2(xinit_noise_defuse, n3) = use)],extension(1155 ^ 3)).
% 0.36/1.37  ncf('1.59',plain,[-(a_select2(xinit_noise_defuse, n4) = use)],extension(1157 ^ 3)).
% 0.36/1.37  ncf('1.60',plain,[-(a_select2(xinit_noise_defuse, n5) = use)],extension(1159 ^ 3)).
% 0.36/1.37  ncf('1.61',plain,[-(leq(n0, pv5))],extension(1161 ^ 3)).
% 0.36/1.37  ncf('1.62',plain,[-(leq(n0, pv51))],extension(1163 ^ 3)).
% 0.36/1.37  ncf('1.63',plain,[-(leq(pv5, minus(n999, n1)))],extension(1167 ^ 3)).
% 0.36/1.37  ncf('1.64',plain,[-(leq(pv51, minus(n6, n1)))],extension(1169 ^ 3)).
% 0.36/1.37  ncf('1.65',plain,[-(a_select3(u_defuse, 1462 ^ [], 1463 ^ []) = use), leq(n0, 1462 ^ []), leq(n0, 1463 ^ []), leq(1462 ^ [], n2), leq(1463 ^ [], minus(pv5, n1))],extension(1173 ^ 5,bind([[_332833, _332835], [1463 ^ [], 1462 ^ []]]))).
% 0.36/1.37  ncf('1.65.1',plain,[-(leq(n0, 1462 ^ []))],extension(1465 ^ 6)).
% 0.36/1.37  ncf('1.65.2',plain,[-(leq(n0, 1463 ^ []))],extension(1467 ^ 6)).
% 0.36/1.37  ncf('1.65.3',plain,[-(leq(1462 ^ [], n2))],extension(1469 ^ 6)).
% 0.36/1.37  ncf('1.65.4',plain,[-(leq(1463 ^ [], minus(pv5, n1)))],extension(1471 ^ 6)).
% 0.36/1.37  ncf('1.66',plain,[-(a_select3(z_defuse, 1462 ^ [], 1463 ^ []) = use), leq(n0, 1462 ^ []), leq(n0, 1463 ^ []), leq(1462 ^ [], n2), leq(1463 ^ [], minus(pv5, n1))],extension(1173 ^ 5,bind([[_332833, _332835], [1463 ^ [], 1462 ^ []]]))).
% 0.36/1.37  ncf('1.66.1',plain,[-(leq(n0, 1462 ^ []))],extension(1465 ^ 6)).
% 0.36/1.37  ncf('1.66.2',plain,[-(leq(n0, 1463 ^ []))],extension(1467 ^ 6)).
% 0.36/1.37  ncf('1.66.3',plain,[-(leq(1462 ^ [], n2))],extension(1469 ^ 6)).
% 0.36/1.37  ncf('1.66.4',plain,[-(leq(1463 ^ [], minus(pv5, n1)))],extension(1471 ^ 6)).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------