%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 0.26s 1.33s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.10  % Command  : nanocop.sh %s %d
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 300
% 0.10/0.28  % DateTime : Fri May 19 02:32:05 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.26/1.33  
% 0.26/1.33  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.26/1.33  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/1.33  %-----------------------------------------------------
% 0.26/1.33  ncf(matrix, plain, [(1107 ^ _244631) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1109 ^ _244631) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1111 ^ _244631) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1113 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1115 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1117 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1119 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1121 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1123 ^ _244631) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1125 ^ _244631) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1127 ^ _244631) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1129 ^ _244631) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1131 ^ _244631) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1133 ^ _244631) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1135 ^ _244631) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1137 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1139 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1141 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1143 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1145 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1147 ^ _244631) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1149 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1151 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1153 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1155 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1157 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1159 ^ _244631) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1161 ^ _244631) ^ [] : [-(leq(n0, pv5))], (1163 ^ _244631) ^ [] : [-(leq(n0, pv51))], (1165 ^ _244631) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1167 ^ _244631) ^ [] : [-(leq(pv51, minus(n6, n1)))], (1169 ^ _244631) ^ [_287896, _287898] : [1184 ^ _244631 : [(1185 ^ _244631) ^ [] : [-(a_select3(u_defuse, _287898, _287896) = use)], (1187 ^ _244631) ^ [] : [-(a_select3(z_defuse, _287898, _287896) = use)]], leq(n0, _287898), leq(n0, _287896), leq(_287898, n2), leq(_287896, minus(pv5, n1))], (1189 ^ _244631) ^ [] : [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)), 1314 ^ _244631 : [(1315 ^ _244631) ^ [] : [-(leq(n0, 1312 ^ []))], (1317 ^ _244631) ^ [] : [-(leq(n0, 1313 ^ []))], (1319 ^ _244631) ^ [] : [-(leq(1312 ^ [], n2))], (1321 ^ _244631) ^ [] : [-(leq(1313 ^ [], minus(pv5, n1)))], (1323 ^ _244631) ^ [] : [a_select3(u_defuse, 1312 ^ [], 1313 ^ []) = use, a_select3(z_defuse, 1312 ^ [], 1313 ^ []) = use]]], (2 ^ _244631) ^ [_244775] : [-(_244775 = _244775)], (4 ^ _244631) ^ [_244882, _244884] : [_244884 = _244882, -(_244882 = _244884)], (10 ^ _244631) ^ [_245086, _245088, _245090] : [-(_245090 = _245086), _245090 = _245088, _245088 = _245086], (20 ^ _244631) ^ [_245427, _245429, _245431, _245433] : [-(lt(_245431, _245427)), lt(_245433, _245429), _245433 = _245431, _245429 = _245427], (34 ^ _244631) ^ [_245871, _245873, _245875, _245877] : [-(geq(_245875, _245871)), geq(_245877, _245873), _245877 = _245875, _245873 = _245871], (48 ^ _244631) ^ [_246315, _246317, _246319, _246321] : [-(gt(_246319, _246315)), gt(_246321, _246317), _246321 = _246319, _246317 = _246315], (62 ^ _244631) ^ [_246739, _246741, _246743, _246745] : [-(leq(_246743, _246739)), leq(_246745, _246741), _246745 = _246743, _246741 = _246739], (76 ^ _244631) ^ [_247195, _247197, _247199, _247201] : [-(uniform_int_rnd(_247201, _247197) = uniform_int_rnd(_247199, _247195)), _247201 = _247199, _247197 = _247195], (86 ^ _244631) ^ [_247554, _247556, _247558, _247560] : [-(tptp_const_array1(_247560, _247556) = tptp_const_array1(_247558, _247554)), _247560 = _247558, _247556 = _247554], (96 ^ _244631) ^ [_247941, _247943, _247945, _247947, _247949, _247951] : [-(tptp_const_array2(_247951, _247947, _247943) = tptp_const_array2(_247949, _247945, _247941)), _247951 = _247949, _247947 = _247945, _247943 = _247941], (110 ^ _244631) ^ [_248429, _248431, _248433, _248435] : [-(dim(_248435, _248431) = dim(_248433, _248429)), _248435 = _248433, _248431 = _248429], (120 ^ _244631) ^ [_248760, _248762] : [_248762 = _248760, -(inv(_248762) = inv(_248760))], (126 ^ _244631) ^ [_249006, _249008, _249010, _249012] : [-(tptp_msub(_249012, _249008) = tptp_msub(_249010, _249006)), _249012 = _249010, _249008 = _249006], (136 ^ _244631) ^ [_249365, _249367, _249369, _249371] : [-(tptp_madd(_249371, _249367) = tptp_madd(_249369, _249365)), _249371 = _249369, _249367 = _249365], (146 ^ _244631) ^ [_249724, _249726, _249728, _249730] : [-(tptp_mmul(_249730, _249726) = tptp_mmul(_249728, _249724)), _249730 = _249728, _249726 = _249724], (156 ^ _244631) ^ [_250055, _250057] : [_250057 = _250055, -(trans(_250057) = trans(_250055))], (162 ^ _244631) ^ [_250329, _250331, _250333, _250335, _250337, _250339] : [-(sum(_250339, _250335, _250331) = sum(_250337, _250333, _250329)), _250339 = _250337, _250335 = _250333, _250331 = _250329], (176 ^ _244631) ^ [_250817, _250819, _250821, _250823] : [-(plus(_250823, _250819) = plus(_250821, _250817)), _250823 = _250821, _250819 = _250817], (186 ^ _244631) ^ [_251148, _251150] : [_251150 = _251148, -(pred(_251150) = pred(_251148))], (192 ^ _244631) ^ [_251450, _251452, _251454, _251456, _251458, _251460, _251462, _251464] : [-(tptp_update3(_251464, _251460, _251456, _251452) = tptp_update3(_251462, _251458, _251454, _251450)), _251464 = _251462, _251460 = _251458, _251456 = _251454, _251452 = _251450], (210 ^ _244631) ^ [_252111, _252113, _252115, _252117, _252119, _252121] : [-(tptp_update2(_252121, _252117, _252113) = tptp_update2(_252119, _252115, _252111)), _252121 = _252119, _252117 = _252115, _252113 = _252111], (224 ^ _244631) ^ [_252571, _252573] : [_252573 = _252571, -(succ(_252573) = succ(_252571))], (230 ^ _244631) ^ [_252817, _252819, _252821, _252823] : [-(a_select2(_252823, _252819) = a_select2(_252821, _252817)), _252823 = _252821, _252819 = _252817], (240 ^ _244631) ^ [_253176, _253178, _253180, _253182] : [-(minus(_253182, _253178) = minus(_253180, _253176)), _253182 = _253180, _253178 = _253176], (250 ^ _244631) ^ [_253543, _253545, _253547, _253549, _253551, _253553] : [-(a_select3(_253553, _253549, _253545) = a_select3(_253551, _253547, _253543)), _253553 = _253551, _253549 = _253547, _253545 = _253543], (869 ^ _244631) ^ [] : [-(gt(n5, n4))], (871 ^ _244631) ^ [] : [-(gt(n6, n4))], (873 ^ _244631) ^ [] : [-(gt(n999, n4))], (875 ^ _244631) ^ [] : [-(gt(n6, n5))], (877 ^ _244631) ^ [] : [-(gt(n999, n5))], (879 ^ _244631) ^ [] : [-(gt(n999, n6))], (881 ^ _244631) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _244631) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _244631) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _244631) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _244631) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _244631) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _244631) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _244631) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _244631) ^ [] : [-(gt(n4, n0))], (899 ^ _244631) ^ [] : [-(gt(n5, n0))], (901 ^ _244631) ^ [] : [-(gt(n6, n0))], (903 ^ _244631) ^ [] : [-(gt(n999, n0))], (905 ^ _244631) ^ [] : [-(gt(n1, n0))], (907 ^ _244631) ^ [] : [-(gt(n2, n0))], (909 ^ _244631) ^ [] : [-(gt(n3, n0))], (911 ^ _244631) ^ [] : [-(gt(n4, n1))], (913 ^ _244631) ^ [] : [-(gt(n5, n1))], (915 ^ _244631) ^ [] : [-(gt(n6, n1))], (917 ^ _244631) ^ [] : [-(gt(n999, n1))], (919 ^ _244631) ^ [] : [-(gt(n2, n1))], (921 ^ _244631) ^ [] : [-(gt(n3, n1))], (923 ^ _244631) ^ [] : [-(gt(n4, n2))], (925 ^ _244631) ^ [] : [-(gt(n5, n2))], (927 ^ _244631) ^ [] : [-(gt(n6, n2))], (929 ^ _244631) ^ [] : [-(gt(n999, n2))], (931 ^ _244631) ^ [] : [-(gt(n3, n2))], (933 ^ _244631) ^ [] : [-(gt(n4, n3))], (935 ^ _244631) ^ [] : [-(gt(n5, n3))], (937 ^ _244631) ^ [] : [-(gt(n6, n3))], (939 ^ _244631) ^ [] : [-(gt(n999, n3))], (941 ^ _244631) ^ [_281936] : [leq(n0, _281936), leq(_281936, n4), -(_281936 = n0), -(_281936 = n1), -(_281936 = n2), -(_281936 = n3), -(_281936 = n4)], (967 ^ _244631) ^ [_282557] : [leq(n0, _282557), leq(_282557, n5), -(_282557 = n0), -(_282557 = n1), -(_282557 = n2), -(_282557 = n3), -(_282557 = n4), -(_282557 = n5)], (997 ^ _244631) ^ [_283264] : [leq(n0, _283264), leq(_283264, n6), -(_283264 = n0), -(_283264 = n1), -(_283264 = n2), -(_283264 = n3), -(_283264 = n4), -(_283264 = n5), -(_283264 = n6)], (1031 ^ _244631) ^ [_284057] : [-(_284057 = n0), leq(n0, _284057), leq(_284057, n0)], (1041 ^ _244631) ^ [_284332] : [leq(n0, _284332), leq(_284332, n1), -(_284332 = n0), -(_284332 = n1)], (1055 ^ _244631) ^ [_284695] : [leq(n0, _284695), leq(_284695, n2), -(_284695 = n0), -(_284695 = n1), -(_284695 = n2)], (1095 ^ _244631) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _244631) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _244631) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _244631) ^ [] : [-(succ(n0) = n1)], (1103 ^ _244631) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _244631) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _244631) ^ [_285144] : [leq(n0, _285144), leq(_285144, n3), -(_285144 = n0), -(_285144 = n1), -(_285144 = n2), -(_285144 = n3)], (264 ^ _244631) ^ [_254103, _254105] : [-(gt(_254105, _254103)), -(gt(_254103, _254105)), -(_254105 = _254103)], (274 ^ _244631) ^ [_254418, _254420, _254422] : [-(gt(_254422, _254418)), gt(_254422, _254420), gt(_254420, _254418)], (284 ^ _244631) ^ [_254697] : [gt(_254697, _254697)], (286 ^ _244631) ^ [_254775] : [-(leq(_254775, _254775))], (288 ^ _244631) ^ [_254896, _254898, _254900] : [-(leq(_254900, _254896)), leq(_254900, _254898), leq(_254898, _254896)], (298 ^ _244631) ^ [_255234, _255236] : [lt(_255236, _255234), -(gt(_255234, _255236))], (304 ^ _244631) ^ [_255396, _255398] : [gt(_255396, _255398), -(lt(_255398, _255396))], (310 ^ _244631) ^ [_255637, _255639] : [geq(_255639, _255637), -(leq(_255637, _255639))], (316 ^ _244631) ^ [_255799, _255801] : [leq(_255799, _255801), -(geq(_255801, _255799))], (322 ^ _244631) ^ [_256011, _256013] : [gt(_256011, _256013), -(leq(_256013, _256011))], (328 ^ _244631) ^ [_256221, _256223] : [-(gt(_256221, _256223)), leq(_256223, _256221), -(_256223 = _256221)], (338 ^ _244631) ^ [_256552, _256554] : [leq(_256554, pred(_256552)), -(gt(_256552, _256554))], (344 ^ _244631) ^ [_256718, _256720] : [gt(_256718, _256720), -(leq(_256720, pred(_256718)))], (350 ^ _244631) ^ [_256905] : [-(gt(succ(_256905), _256905))], (352 ^ _244631) ^ [_257014, _257016] : [leq(_257016, _257014), -(leq(_257016, succ(_257014)))], (358 ^ _244631) ^ [_257257, _257259] : [leq(_257259, _257257), -(gt(succ(_257257), _257259))], (364 ^ _244631) ^ [_257423, _257425] : [gt(succ(_257423), _257425), -(leq(_257425, _257423))], (370 ^ _244631) ^ [_257639, _257641] : [leq(n0, _257641), -(leq(uniform_int_rnd(_257639, _257641), _257641))], (376 ^ _244631) ^ [_257855, _257857] : [leq(n0, _257857), -(leq(n0, uniform_int_rnd(_257855, _257857)))], (382 ^ _244631) ^ [_258099, _258101, _258103, _258105] : [-(a_select2(tptp_const_array1(dim(_258103, _258101), _258099), _258105) = _258099), leq(_258103, _258105), leq(_258105, _258101)], (392 ^ _244631) ^ [_258506, _258508, _258510, _258512, _258514, _258516, _258518] : [-(a_select3(tptp_const_array2(dim(_258516, _258514), dim(_258510, _258508), _258506), _258518, _258512) = _258506), leq(_258516, _258518), leq(_258518, _258514), leq(_258510, _258512), leq(_258512, _258508)], (410 ^ _244631) ^ [_259101, _259103] : [413 ^ _244631 : [(414 ^ _244631) ^ [] : [-(leq(n0, 411 ^ [_259101, _259103]))], (416 ^ _244631) ^ [] : [-(leq(411 ^ [_259101, _259103], _259101))], (418 ^ _244631) ^ [] : [-(leq(n0, 412 ^ [_259101, _259103]))], (420 ^ _244631) ^ [] : [-(leq(412 ^ [_259101, _259103], _259101))], (422 ^ _244631) ^ [] : [a_select3(_259103, 411 ^ [_259101, _259103], 412 ^ [_259101, _259103]) = a_select3(_259103, 412 ^ [_259101, _259103], 411 ^ [_259101, _259103])]], 423 ^ _244631 : [(424 ^ _244631) ^ [_259858, _259860] : [-(a_select3(trans(_259103), _259860, _259858) = a_select3(trans(_259103), _259858, _259860)), leq(n0, _259860), leq(_259860, _259101), leq(n0, _259858), leq(_259858, _259101)]]], (442 ^ _244631) ^ [_260405, _260407] : [445 ^ _244631 : [(446 ^ _244631) ^ [] : [-(leq(n0, 443 ^ [_260405, _260407]))], (448 ^ _244631) ^ [] : [-(leq(443 ^ [_260405, _260407], _260405))], (450 ^ _244631) ^ [] : [-(leq(n0, 444 ^ [_260405, _260407]))], (452 ^ _244631) ^ [] : [-(leq(444 ^ [_260405, _260407], _260405))], (454 ^ _244631) ^ [] : [a_select3(_260407, 443 ^ [_260405, _260407], 444 ^ [_260405, _260407]) = a_select3(_260407, 444 ^ [_260405, _260407], 443 ^ [_260405, _260407])]], 455 ^ _244631 : [(456 ^ _244631) ^ [_261162, _261164] : [-(a_select3(inv(_260407), _261164, _261162) = a_select3(inv(_260407), _261162, _261164)), leq(n0, _261164), leq(_261164, _260405), leq(n0, _261162), leq(_261162, _260405)]]], (474 ^ _244631) ^ [_261709, _261711] : [477 ^ _244631 : [(478 ^ _244631) ^ [] : [-(leq(n0, 475 ^ [_261709, _261711]))], (480 ^ _244631) ^ [] : [-(leq(475 ^ [_261709, _261711], _261709))], (482 ^ _244631) ^ [] : [-(leq(n0, 476 ^ [_261709, _261711]))], (484 ^ _244631) ^ [] : [-(leq(476 ^ [_261709, _261711], _261709))], (486 ^ _244631) ^ [] : [a_select3(_261711, 475 ^ [_261709, _261711], 476 ^ [_261709, _261711]) = a_select3(_261711, 476 ^ [_261709, _261711], 475 ^ [_261709, _261711])]], 487 ^ _244631 : [(488 ^ _244631) ^ [_262522, _262524, _262526, _262528] : [-(a_select3(tptp_update3(_261711, _262524, _262524, _262522), _262528, _262526) = a_select3(tptp_update3(_261711, _262524, _262524, _262522), _262526, _262528)), leq(n0, _262528), leq(_262528, _261709), leq(n0, _262526), leq(_262526, _261709), leq(n0, _262524), leq(_262524, _261709)]]], (514 ^ _244631) ^ [_263341, _263343, _263345] : [519 ^ _244631 : [(520 ^ _244631) ^ [] : [-(leq(n0, 517 ^ [_263341, _263343, _263345]))], (522 ^ _244631) ^ [] : [-(leq(517 ^ [_263341, _263343, _263345], _263341))], (524 ^ _244631) ^ [] : [-(leq(n0, 518 ^ [_263341, _263343, _263345]))], (526 ^ _244631) ^ [] : [-(leq(518 ^ [_263341, _263343, _263345], _263341))], (528 ^ _244631) ^ [] : [a_select3(_263345, 517 ^ [_263341, _263343, _263345], 518 ^ [_263341, _263343, _263345]) = a_select3(_263345, 518 ^ [_263341, _263343, _263345], 517 ^ [_263341, _263343, _263345])]], 531 ^ _244631 : [(532 ^ _244631) ^ [] : [-(leq(n0, 529 ^ [_263341, _263343, _263345]))], (534 ^ _244631) ^ [] : [-(leq(529 ^ [_263341, _263343, _263345], _263341))], (536 ^ _244631) ^ [] : [-(leq(n0, 530 ^ [_263341, _263343, _263345]))], (538 ^ _244631) ^ [] : [-(leq(530 ^ [_263341, _263343, _263345], _263341))], (540 ^ _244631) ^ [] : [a_select3(_263343, 529 ^ [_263341, _263343, _263345], 530 ^ [_263341, _263343, _263345]) = a_select3(_263343, 530 ^ [_263341, _263343, _263345], 529 ^ [_263341, _263343, _263345])]], 541 ^ _244631 : [(542 ^ _244631) ^ [_264850, _264852] : [-(a_select3(tptp_madd(_263345, _263343), _264852, _264850) = a_select3(tptp_madd(_263345, _263343), _264850, _264852)), leq(n0, _264852), leq(_264852, _263341), leq(n0, _264850), leq(_264850, _263341)]]], (560 ^ _244631) ^ [_265436, _265438, _265440] : [565 ^ _244631 : [(566 ^ _244631) ^ [] : [-(leq(n0, 563 ^ [_265436, _265438, _265440]))], (568 ^ _244631) ^ [] : [-(leq(563 ^ [_265436, _265438, _265440], _265436))], (570 ^ _244631) ^ [] : [-(leq(n0, 564 ^ [_265436, _265438, _265440]))], (572 ^ _244631) ^ [] : [-(leq(564 ^ [_265436, _265438, _265440], _265436))], (574 ^ _244631) ^ [] : [a_select3(_265440, 563 ^ [_265436, _265438, _265440], 564 ^ [_265436, _265438, _265440]) = a_select3(_265440, 564 ^ [_265436, _265438, _265440], 563 ^ [_265436, _265438, _265440])]], 577 ^ _244631 : [(578 ^ _244631) ^ [] : [-(leq(n0, 575 ^ [_265436, _265438, _265440]))], (580 ^ _244631) ^ [] : [-(leq(575 ^ [_265436, _265438, _265440], _265436))], (582 ^ _244631) ^ [] : [-(leq(n0, 576 ^ [_265436, _265438, _265440]))], (584 ^ _244631) ^ [] : [-(leq(576 ^ [_265436, _265438, _265440], _265436))], (586 ^ _244631) ^ [] : [a_select3(_265438, 575 ^ [_265436, _265438, _265440], 576 ^ [_265436, _265438, _265440]) = a_select3(_265438, 576 ^ [_265436, _265438, _265440], 575 ^ [_265436, _265438, _265440])]], 587 ^ _244631 : [(588 ^ _244631) ^ [_266945, _266947] : [-(a_select3(tptp_msub(_265440, _265438), _266947, _266945) = a_select3(tptp_msub(_265440, _265438), _266945, _266947)), leq(n0, _266947), leq(_266947, _265436), leq(n0, _266945), leq(_266945, _265436)]]], (606 ^ _244631) ^ [_267531, _267533, _267535] : [609 ^ _244631 : [(610 ^ _244631) ^ [] : [-(leq(n0, 607 ^ [_267531, _267533, _267535]))], (612 ^ _244631) ^ [] : [-(leq(607 ^ [_267531, _267533, _267535], _267531))], (614 ^ _244631) ^ [] : [-(leq(n0, 608 ^ [_267531, _267533, _267535]))], (616 ^ _244631) ^ [] : [-(leq(608 ^ [_267531, _267533, _267535], _267531))], (618 ^ _244631) ^ [] : [a_select3(_267533, 607 ^ [_267531, _267533, _267535], 608 ^ [_267531, _267533, _267535]) = a_select3(_267533, 608 ^ [_267531, _267533, _267535], 607 ^ [_267531, _267533, _267535])]], 619 ^ _244631 : [(620 ^ _244631) ^ [_268344, _268346] : [-(a_select3(tptp_mmul(_267535, tptp_mmul(_267533, trans(_267535))), _268346, _268344) = a_select3(tptp_mmul(_267535, tptp_mmul(_267533, trans(_267535))), _268344, _268346)), leq(n0, _268346), leq(_268346, _267531), leq(n0, _268344), leq(_268344, _267531)]]], (638 ^ _244631) ^ [_268963, _268965, _268967, _268969] : [641 ^ _244631 : [(642 ^ _244631) ^ [] : [-(leq(n0, 639 ^ [_268963, _268965, _268967, _268969]))], (644 ^ _244631) ^ [] : [-(leq(639 ^ [_268963, _268965, _268967, _268969], _268963))], (646 ^ _244631) ^ [] : [-(leq(n0, 640 ^ [_268963, _268965, _268967, _268969]))], (648 ^ _244631) ^ [] : [-(leq(640 ^ [_268963, _268965, _268967, _268969], _268963))], (650 ^ _244631) ^ [] : [a_select3(_268967, 639 ^ [_268963, _268965, _268967, _268969], 640 ^ [_268963, _268965, _268967, _268969]) = a_select3(_268967, 640 ^ [_268963, _268965, _268967, _268969], 639 ^ [_268963, _268965, _268967, _268969])]], 651 ^ _244631 : [(652 ^ _244631) ^ [_269820, _269822] : [-(a_select3(tptp_mmul(_268969, tptp_mmul(_268967, trans(_268969))), _269822, _269820) = a_select3(tptp_mmul(_268969, tptp_mmul(_268967, trans(_268969))), _269820, _269822)), leq(n0, _269822), leq(_269822, _268965), leq(n0, _269820), leq(_269820, _268965)]]], (670 ^ _244631) ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529] : [675 ^ _244631 : [(676 ^ _244631) ^ [] : [-(leq(n0, 673 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (678 ^ _244631) ^ [] : [-(leq(673 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270515))], (680 ^ _244631) ^ [] : [-(leq(n0, 674 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (682 ^ _244631) ^ [] : [-(leq(674 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270515))], (684 ^ _244631) ^ [] : [a_select3(_270523, 673 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 674 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]) = a_select3(_270523, 674 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 673 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529])]], 689 ^ _244631 : [(690 ^ _244631) ^ [] : [-(leq(n0, 687 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (692 ^ _244631) ^ [] : [-(leq(687 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270517))], (694 ^ _244631) ^ [] : [-(leq(n0, 688 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (696 ^ _244631) ^ [] : [-(leq(688 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270517))], (698 ^ _244631) ^ [] : [a_select3(_270529, 687 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 688 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]) = a_select3(_270529, 688 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 687 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529])]], 701 ^ _244631 : [(702 ^ _244631) ^ [] : [-(leq(n0, 699 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (704 ^ _244631) ^ [] : [-(leq(699 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270517))], (706 ^ _244631) ^ [] : [-(leq(n0, 700 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]))], (708 ^ _244631) ^ [] : [-(leq(700 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], _270517))], (710 ^ _244631) ^ [] : [a_select3(_270519, 699 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 700 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529]) = a_select3(_270519, 700 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529], 699 ^ [_270515, _270517, _270519, _270521, _270523, _270525, _270527, _270529])]], 711 ^ _244631 : [(712 ^ _244631) ^ [_273443, _273445] : [-(a_select3(tptp_madd(_270529, tptp_mmul(_270527, tptp_mmul(tptp_madd(tptp_mmul(_270525, tptp_mmul(_270523, trans(_270525))), tptp_mmul(_270521, tptp_mmul(_270519, trans(_270521)))), trans(_270527)))), _273445, _273443) = a_select3(tptp_madd(_270529, tptp_mmul(_270527, tptp_mmul(tptp_madd(tptp_mmul(_270525, tptp_mmul(_270523, trans(_270525))), tptp_mmul(_270521, tptp_mmul(_270519, trans(_270521)))), trans(_270527)))), _273443, _273445)), leq(n0, _273445), leq(_273445, _270517), leq(n0, _273443), leq(_273443, _270517)]]], (730 ^ _244631) ^ [_274196] : [-(sum(n0, tptp_minus_1, _274196) = n0)], (732 ^ _244631) ^ [_274278] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _274278))], (734 ^ _244631) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _244631) ^ [_274413] : [-(plus(_274413, n1) = succ(_274413))], (738 ^ _244631) ^ [_274496] : [-(plus(n1, _274496) = succ(_274496))], (740 ^ _244631) ^ [_274579] : [-(plus(_274579, n2) = succ(succ(_274579)))], (742 ^ _244631) ^ [_274664] : [-(plus(n2, _274664) = succ(succ(_274664)))], (744 ^ _244631) ^ [_274749] : [-(plus(_274749, n3) = succ(succ(succ(_274749))))], (746 ^ _244631) ^ [_274836] : [-(plus(n3, _274836) = succ(succ(succ(_274836))))], (748 ^ _244631) ^ [_274923] : [-(plus(_274923, n4) = succ(succ(succ(succ(_274923)))))], (750 ^ _244631) ^ [_275012] : [-(plus(n4, _275012) = succ(succ(succ(succ(_275012)))))], (752 ^ _244631) ^ [_275101] : [-(plus(_275101, n5) = succ(succ(succ(succ(succ(_275101))))))], (754 ^ _244631) ^ [_275192] : [-(plus(n5, _275192) = succ(succ(succ(succ(succ(_275192))))))], (756 ^ _244631) ^ [_275283] : [-(minus(_275283, n1) = pred(_275283))], (758 ^ _244631) ^ [_275366] : [-(pred(succ(_275366)) = _275366)], (760 ^ _244631) ^ [_275448] : [-(succ(pred(_275448)) = _275448)], (762 ^ _244631) ^ [_275588, _275590] : [leq(succ(_275590), succ(_275588)), -(leq(_275590, _275588))], (768 ^ _244631) ^ [_275758, _275760] : [leq(_275760, _275758), -(leq(succ(_275760), succ(_275758)))], (774 ^ _244631) ^ [_275978, _275980] : [leq(succ(_275980), _275978), -(gt(_275978, _275980))], (780 ^ _244631) ^ [_276192, _276194] : [leq(minus(_276194, _276192), _276194), -(leq(n0, _276192))], (786 ^ _244631) ^ [_276421, _276423, _276425, _276427] : [-(a_select3(tptp_update3(_276427, _276425, _276423, _276421), _276425, _276423) = _276421)], (788 ^ _244631) ^ [_276613, _276615, _276617, _276619, _276621, _276623, _276625] : [-(a_select3(tptp_update3(_276617, _276625, _276623, _276613), _276621, _276619) = _276615), -(_276625 = _276621), _276623 = _276619, a_select3(_276617, _276621, _276619) = _276615], (802 ^ _244631) ^ [_277156, _277158, _277160, _277162, _277164, _277166] : [-(a_select3(tptp_update3(_277158, _277162, _277160, _277156), _277166, _277164) = _277156), 807 ^ _244631 : [(808 ^ _244631) ^ [] : [-(leq(n0, 805 ^ [_277156, _277158, _277160, _277162, _277164, _277166]))], (810 ^ _244631) ^ [] : [-(leq(n0, 806 ^ [_277156, _277158, _277160, _277162, _277164, _277166]))], (812 ^ _244631) ^ [] : [-(leq(805 ^ [_277156, _277158, _277160, _277162, _277164, _277166], _277162))], (814 ^ _244631) ^ [] : [-(leq(806 ^ [_277156, _277158, _277160, _277162, _277164, _277166], _277160))], (816 ^ _244631) ^ [] : [a_select3(_277158, 805 ^ [_277156, _277158, _277160, _277162, _277164, _277166], 806 ^ [_277156, _277158, _277160, _277162, _277164, _277166]) = _277156]], leq(n0, _277166), leq(_277166, _277162), leq(n0, _277164), leq(_277164, _277160)], (834 ^ _244631) ^ [_278498, _278500, _278502] : [-(a_select2(tptp_update2(_278502, _278500, _278498), _278500) = _278498)], (836 ^ _244631) ^ [_278658, _278660, _278662, _278664, _278666] : [-(a_select2(tptp_update2(_278662, _278666, _278658), _278664) = _278660), -(_278666 = _278664), a_select2(_278662, _278664) = _278660], (865 ^ _244631) ^ [] : [-(true)], (867 ^ _244631) ^ [] : [def = use], (846 ^ _244631) ^ [_279038, _279040, _279042, _279044] : [-(a_select2(tptp_update2(_279040, _279042, _279038), _279044) = _279038), 850 ^ _244631 : [(851 ^ _244631) ^ [] : [-(leq(n0, 849 ^ [_279038, _279040, _279042, _279044]))], (853 ^ _244631) ^ [] : [-(leq(849 ^ [_279038, _279040, _279042, _279044], _279042))], (855 ^ _244631) ^ [] : [a_select2(_279040, 849 ^ [_279038, _279040, _279042, _279044]) = _279038]], leq(n0, _279044), leq(_279044, _279042)]], input).
% 0.26/1.33  ncf('1',plain,[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)), 1323 : a_select3(u_defuse, 1312 ^ [], 1313 ^ []) = use, 1323 : a_select3(z_defuse, 1312 ^ [], 1313 ^ []) = use],start(1189 ^ 0)).
% 0.26/1.33  ncf('1.1',plain,[-(a_select2(rho_defuse, n0) = use)],extension(1107 ^ 1)).
% 0.26/1.33  ncf('1.2',plain,[-(a_select2(rho_defuse, n1) = use)],extension(1109 ^ 1)).
% 0.26/1.33  ncf('1.3',plain,[-(a_select2(rho_defuse, n2) = use)],extension(1111 ^ 1)).
% 0.26/1.33  ncf('1.4',plain,[-(a_select2(sigma_defuse, n0) = use)],extension(1113 ^ 1)).
% 0.26/1.33  ncf('1.5',plain,[-(a_select2(sigma_defuse, n1) = use)],extension(1115 ^ 1)).
% 0.26/1.33  ncf('1.6',plain,[-(a_select2(sigma_defuse, n2) = use)],extension(1117 ^ 1)).
% 0.26/1.33  ncf('1.7',plain,[-(a_select2(sigma_defuse, n3) = use)],extension(1119 ^ 1)).
% 0.26/1.33  ncf('1.8',plain,[-(a_select2(sigma_defuse, n4) = use)],extension(1121 ^ 1)).
% 0.26/1.33  ncf('1.9',plain,[-(a_select2(sigma_defuse, n5) = use)],extension(1123 ^ 1)).
% 0.26/1.33  ncf('1.10',plain,[-(a_select3(u_defuse, n0, n0) = use)],extension(1125 ^ 1)).
% 0.26/1.33  ncf('1.11',plain,[-(a_select3(u_defuse, n1, n0) = use)],extension(1127 ^ 1)).
% 0.26/1.33  ncf('1.12',plain,[-(a_select3(u_defuse, n2, n0) = use)],extension(1129 ^ 1)).
% 0.26/1.33  ncf('1.13',plain,[-(a_select2(xinit_defuse, n3) = use)],extension(1131 ^ 1)).
% 0.26/1.33  ncf('1.14',plain,[-(a_select2(xinit_defuse, n4) = use)],extension(1133 ^ 1)).
% 0.26/1.33  ncf('1.15',plain,[-(a_select2(xinit_defuse, n5) = use)],extension(1135 ^ 1)).
% 0.26/1.33  ncf('1.16',plain,[-(a_select2(xinit_mean_defuse, n0) = use)],extension(1137 ^ 1)).
% 0.26/1.33  ncf('1.17',plain,[-(a_select2(xinit_mean_defuse, n1) = use)],extension(1139 ^ 1)).
% 0.26/1.33  ncf('1.18',plain,[-(a_select2(xinit_mean_defuse, n2) = use)],extension(1141 ^ 1)).
% 0.26/1.33  ncf('1.19',plain,[-(a_select2(xinit_mean_defuse, n3) = use)],extension(1143 ^ 1)).
% 0.26/1.33  ncf('1.20',plain,[-(a_select2(xinit_mean_defuse, n4) = use)],extension(1145 ^ 1)).
% 0.26/1.33  ncf('1.21',plain,[-(a_select2(xinit_mean_defuse, n5) = use)],extension(1147 ^ 1)).
% 0.26/1.33  ncf('1.22',plain,[-(a_select2(xinit_noise_defuse, n0) = use)],extension(1149 ^ 1)).
% 0.26/1.33  ncf('1.23',plain,[-(a_select2(xinit_noise_defuse, n1) = use)],extension(1151 ^ 1)).
% 0.26/1.33  ncf('1.24',plain,[-(a_select2(xinit_noise_defuse, n2) = use)],extension(1153 ^ 1)).
% 0.26/1.33  ncf('1.25',plain,[-(a_select2(xinit_noise_defuse, n3) = use)],extension(1155 ^ 1)).
% 0.26/1.33  ncf('1.26',plain,[-(a_select2(xinit_noise_defuse, n4) = use)],extension(1157 ^ 1)).
% 0.26/1.33  ncf('1.27',plain,[-(a_select2(xinit_noise_defuse, n5) = use)],extension(1159 ^ 1)).
% 0.26/1.33  ncf('1.28',plain,[-(leq(n0, pv5))],extension(1161 ^ 1)).
% 0.26/1.33  ncf('1.29',plain,[-(leq(n0, pv51))],extension(1163 ^ 1)).
% 0.26/1.33  ncf('1.30',plain,[-(leq(pv5, minus(n999, n1)))],extension(1165 ^ 1)).
% 0.26/1.33  ncf('1.31',plain,[-(leq(pv51, minus(n6, n1)))],extension(1167 ^ 1)).
% 0.26/1.33  ncf('1.32',plain,[-(a_select3(u_defuse, 1312 ^ [], 1313 ^ []) = use), leq(n0, 1312 ^ []), leq(n0, 1313 ^ []), leq(1312 ^ [], n2), leq(1313 ^ [], minus(pv5, n1))],extension(1169 ^ 3,bind([[_287896, _287898], [1313 ^ [], 1312 ^ []]]))).
% 0.26/1.33  ncf('1.32.1',plain,[-(leq(n0, 1312 ^ []))],extension(1315 ^ 4)).
% 0.26/1.33  ncf('1.32.2',plain,[-(leq(n0, 1313 ^ []))],extension(1317 ^ 4)).
% 0.26/1.33  ncf('1.32.3',plain,[-(leq(1312 ^ [], n2))],extension(1319 ^ 4)).
% 0.26/1.33  ncf('1.32.4',plain,[-(leq(1313 ^ [], minus(pv5, n1)))],extension(1321 ^ 4)).
% 0.26/1.33  ncf('1.33',plain,[-(a_select3(z_defuse, 1312 ^ [], 1313 ^ []) = use), leq(n0, 1312 ^ []), leq(n0, 1313 ^ []), leq(1312 ^ [], n2), leq(1313 ^ [], minus(pv5, n1))],extension(1169 ^ 3,bind([[_287896, _287898], [1313 ^ [], 1312 ^ []]]))).
% 0.26/1.33  ncf('1.33.1',plain,[-(leq(n0, 1312 ^ []))],extension(1315 ^ 4)).
% 0.26/1.33  ncf('1.33.2',plain,[-(leq(n0, 1313 ^ []))],extension(1317 ^ 4)).
% 0.26/1.33  ncf('1.33.3',plain,[-(leq(1312 ^ [], n2))],extension(1319 ^ 4)).
% 0.26/1.33  ncf('1.33.4',plain,[-(leq(1313 ^ [], minus(pv5, n1)))],extension(1321 ^ 4)).
% 0.26/1.33  %-----------------------------------------------------
% 0.26/1.33  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------