%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 12:19:58 EDT 2023

% Result   : Theorem 0.36s 1.41s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n014.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri May 19 02:46:27 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.36/1.41  
% 0.36/1.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  ncf(matrix, plain, [(1055 ^ _236738) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _236738) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _236738) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _236738) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _236738) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _236738) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _236738) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _236738) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _236738) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _236738) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _236738) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _236738) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _236738) ^ [] : [-(leq(n0, pv5))], (1111 ^ _236738) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1113 ^ _236738) ^ [_278585, _278587] : [1128 ^ _236738 : [(1129 ^ _236738) ^ [] : [-(a_select3(u_defuse, _278587, _278585) = use)], (1131 ^ _236738) ^ [] : [-(a_select3(z_defuse, _278587, _278585) = use)]], leq(n0, _278587), leq(n0, _278585), leq(_278587, n2), leq(_278585, minus(pv5, n1))], (1133 ^ _236738) ^ [] : [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(pv5, minus(n999, n1)), 1250 ^ _236738 : [(1251 ^ _236738) ^ [] : [-(leq(n0, 1248 ^ []))], (1253 ^ _236738) ^ [] : [-(leq(n0, 1249 ^ []))], (1255 ^ _236738) ^ [] : [-(leq(1248 ^ [], n2))], (1257 ^ _236738) ^ [] : [-(leq(1249 ^ [], minus(pv5, n1)))], (1259 ^ _236738) ^ [] : [a_select3(u_defuse, 1248 ^ [], 1249 ^ []) = use, a_select3(z_defuse, 1248 ^ [], 1249 ^ []) = use]]], (2 ^ _236738) ^ [_236882] : [-(_236882 = _236882)], (4 ^ _236738) ^ [_236989, _236991] : [_236991 = _236989, -(_236989 = _236991)], (10 ^ _236738) ^ [_237193, _237195, _237197] : [-(_237197 = _237193), _237197 = _237195, _237195 = _237193], (20 ^ _236738) ^ [_237534, _237536, _237538, _237540] : [-(lt(_237538, _237534)), lt(_237540, _237536), _237540 = _237538, _237536 = _237534], (34 ^ _236738) ^ [_237978, _237980, _237982, _237984] : [-(geq(_237982, _237978)), geq(_237984, _237980), _237984 = _237982, _237980 = _237978], (48 ^ _236738) ^ [_238422, _238424, _238426, _238428] : [-(gt(_238426, _238422)), gt(_238428, _238424), _238428 = _238426, _238424 = _238422], (62 ^ _236738) ^ [_238846, _238848, _238850, _238852] : [-(leq(_238850, _238846)), leq(_238852, _238848), _238852 = _238850, _238848 = _238846], (76 ^ _236738) ^ [_239302, _239304, _239306, _239308] : [-(uniform_int_rnd(_239308, _239304) = uniform_int_rnd(_239306, _239302)), _239308 = _239306, _239304 = _239302], (86 ^ _236738) ^ [_239661, _239663, _239665, _239667] : [-(tptp_const_array1(_239667, _239663) = tptp_const_array1(_239665, _239661)), _239667 = _239665, _239663 = _239661], (96 ^ _236738) ^ [_240048, _240050, _240052, _240054, _240056, _240058] : [-(tptp_const_array2(_240058, _240054, _240050) = tptp_const_array2(_240056, _240052, _240048)), _240058 = _240056, _240054 = _240052, _240050 = _240048], (110 ^ _236738) ^ [_240536, _240538, _240540, _240542] : [-(dim(_240542, _240538) = dim(_240540, _240536)), _240542 = _240540, _240538 = _240536], (120 ^ _236738) ^ [_240867, _240869] : [_240869 = _240867, -(inv(_240869) = inv(_240867))], (126 ^ _236738) ^ [_241113, _241115, _241117, _241119] : [-(tptp_msub(_241119, _241115) = tptp_msub(_241117, _241113)), _241119 = _241117, _241115 = _241113], (136 ^ _236738) ^ [_241472, _241474, _241476, _241478] : [-(tptp_madd(_241478, _241474) = tptp_madd(_241476, _241472)), _241478 = _241476, _241474 = _241472], (146 ^ _236738) ^ [_241831, _241833, _241835, _241837] : [-(tptp_mmul(_241837, _241833) = tptp_mmul(_241835, _241831)), _241837 = _241835, _241833 = _241831], (156 ^ _236738) ^ [_242162, _242164] : [_242164 = _242162, -(trans(_242164) = trans(_242162))], (162 ^ _236738) ^ [_242436, _242438, _242440, _242442, _242444, _242446] : [-(sum(_242446, _242442, _242438) = sum(_242444, _242440, _242436)), _242446 = _242444, _242442 = _242440, _242438 = _242436], (176 ^ _236738) ^ [_242924, _242926, _242928, _242930] : [-(plus(_242930, _242926) = plus(_242928, _242924)), _242930 = _242928, _242926 = _242924], (186 ^ _236738) ^ [_243255, _243257] : [_243257 = _243255, -(pred(_243257) = pred(_243255))], (192 ^ _236738) ^ [_243557, _243559, _243561, _243563, _243565, _243567, _243569, _243571] : [-(tptp_update3(_243571, _243567, _243563, _243559) = tptp_update3(_243569, _243565, _243561, _243557)), _243571 = _243569, _243567 = _243565, _243563 = _243561, _243559 = _243557], (210 ^ _236738) ^ [_244218, _244220, _244222, _244224, _244226, _244228] : [-(tptp_update2(_244228, _244224, _244220) = tptp_update2(_244226, _244222, _244218)), _244228 = _244226, _244224 = _244222, _244220 = _244218], (224 ^ _236738) ^ [_244678, _244680] : [_244680 = _244678, -(succ(_244680) = succ(_244678))], (230 ^ _236738) ^ [_244924, _244926, _244928, _244930] : [-(a_select2(_244930, _244926) = a_select2(_244928, _244924)), _244930 = _244928, _244926 = _244924], (240 ^ _236738) ^ [_245283, _245285, _245287, _245289] : [-(minus(_245289, _245285) = minus(_245287, _245283)), _245289 = _245287, _245285 = _245283], (250 ^ _236738) ^ [_245650, _245652, _245654, _245656, _245658, _245660] : [-(a_select3(_245660, _245656, _245652) = a_select3(_245658, _245654, _245650)), _245660 = _245658, _245656 = _245654, _245652 = _245650], (869 ^ _236738) ^ [] : [-(gt(n5, n4))], (871 ^ _236738) ^ [] : [-(gt(n999, n4))], (873 ^ _236738) ^ [] : [-(gt(n999, n5))], (875 ^ _236738) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _236738) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _236738) ^ [] : [-(gt(n999, tptp_minus_1))], (881 ^ _236738) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _236738) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _236738) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _236738) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _236738) ^ [] : [-(gt(n4, n0))], (891 ^ _236738) ^ [] : [-(gt(n5, n0))], (893 ^ _236738) ^ [] : [-(gt(n999, n0))], (895 ^ _236738) ^ [] : [-(gt(n1, n0))], (897 ^ _236738) ^ [] : [-(gt(n2, n0))], (899 ^ _236738) ^ [] : [-(gt(n3, n0))], (901 ^ _236738) ^ [] : [-(gt(n4, n1))], (903 ^ _236738) ^ [] : [-(gt(n5, n1))], (905 ^ _236738) ^ [] : [-(gt(n999, n1))], (907 ^ _236738) ^ [] : [-(gt(n2, n1))], (909 ^ _236738) ^ [] : [-(gt(n3, n1))], (911 ^ _236738) ^ [] : [-(gt(n4, n2))], (913 ^ _236738) ^ [] : [-(gt(n5, n2))], (915 ^ _236738) ^ [] : [-(gt(n999, n2))], (917 ^ _236738) ^ [] : [-(gt(n3, n2))], (919 ^ _236738) ^ [] : [-(gt(n4, n3))], (921 ^ _236738) ^ [] : [-(gt(n5, n3))], (923 ^ _236738) ^ [] : [-(gt(n999, n3))], (925 ^ _236738) ^ [_273619] : [leq(n0, _273619), leq(_273619, n4), -(_273619 = n0), -(_273619 = n1), -(_273619 = n2), -(_273619 = n3), -(_273619 = n4)], (951 ^ _236738) ^ [_274240] : [leq(n0, _274240), leq(_274240, n5), -(_274240 = n0), -(_274240 = n1), -(_274240 = n2), -(_274240 = n3), -(_274240 = n4), -(_274240 = n5)], (981 ^ _236738) ^ [_274947] : [-(_274947 = n0), leq(n0, _274947), leq(_274947, n0)], (991 ^ _236738) ^ [_275222] : [leq(n0, _275222), leq(_275222, n1), -(_275222 = n0), -(_275222 = n1)], (1005 ^ _236738) ^ [_275585] : [leq(n0, _275585), leq(_275585, n2), -(_275585 = n0), -(_275585 = n1), -(_275585 = n2)], (1045 ^ _236738) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _236738) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _236738) ^ [] : [-(succ(n0) = n1)], (1051 ^ _236738) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _236738) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _236738) ^ [_276034] : [leq(n0, _276034), leq(_276034, n3), -(_276034 = n0), -(_276034 = n1), -(_276034 = n2), -(_276034 = n3)], (264 ^ _236738) ^ [_246210, _246212] : [-(gt(_246212, _246210)), -(gt(_246210, _246212)), -(_246212 = _246210)], (274 ^ _236738) ^ [_246525, _246527, _246529] : [-(gt(_246529, _246525)), gt(_246529, _246527), gt(_246527, _246525)], (284 ^ _236738) ^ [_246804] : [gt(_246804, _246804)], (286 ^ _236738) ^ [_246882] : [-(leq(_246882, _246882))], (288 ^ _236738) ^ [_247003, _247005, _247007] : [-(leq(_247007, _247003)), leq(_247007, _247005), leq(_247005, _247003)], (298 ^ _236738) ^ [_247341, _247343] : [lt(_247343, _247341), -(gt(_247341, _247343))], (304 ^ _236738) ^ [_247503, _247505] : [gt(_247503, _247505), -(lt(_247505, _247503))], (310 ^ _236738) ^ [_247744, _247746] : [geq(_247746, _247744), -(leq(_247744, _247746))], (316 ^ _236738) ^ [_247906, _247908] : [leq(_247906, _247908), -(geq(_247908, _247906))], (322 ^ _236738) ^ [_248118, _248120] : [gt(_248118, _248120), -(leq(_248120, _248118))], (328 ^ _236738) ^ [_248328, _248330] : [-(gt(_248328, _248330)), leq(_248330, _248328), -(_248330 = _248328)], (338 ^ _236738) ^ [_248659, _248661] : [leq(_248661, pred(_248659)), -(gt(_248659, _248661))], (344 ^ _236738) ^ [_248825, _248827] : [gt(_248825, _248827), -(leq(_248827, pred(_248825)))], (350 ^ _236738) ^ [_249012] : [-(gt(succ(_249012), _249012))], (352 ^ _236738) ^ [_249121, _249123] : [leq(_249123, _249121), -(leq(_249123, succ(_249121)))], (358 ^ _236738) ^ [_249364, _249366] : [leq(_249366, _249364), -(gt(succ(_249364), _249366))], (364 ^ _236738) ^ [_249530, _249532] : [gt(succ(_249530), _249532), -(leq(_249532, _249530))], (370 ^ _236738) ^ [_249746, _249748] : [leq(n0, _249748), -(leq(uniform_int_rnd(_249746, _249748), _249748))], (376 ^ _236738) ^ [_249962, _249964] : [leq(n0, _249964), -(leq(n0, uniform_int_rnd(_249962, _249964)))], (382 ^ _236738) ^ [_250206, _250208, _250210, _250212] : [-(a_select2(tptp_const_array1(dim(_250210, _250208), _250206), _250212) = _250206), leq(_250210, _250212), leq(_250212, _250208)], (392 ^ _236738) ^ [_250613, _250615, _250617, _250619, _250621, _250623, _250625] : [-(a_select3(tptp_const_array2(dim(_250623, _250621), dim(_250617, _250615), _250613), _250625, _250619) = _250613), leq(_250623, _250625), leq(_250625, _250621), leq(_250617, _250619), leq(_250619, _250615)], (410 ^ _236738) ^ [_251208, _251210] : [413 ^ _236738 : [(414 ^ _236738) ^ [] : [-(leq(n0, 411 ^ [_251208, _251210]))], (416 ^ _236738) ^ [] : [-(leq(411 ^ [_251208, _251210], _251208))], (418 ^ _236738) ^ [] : [-(leq(n0, 412 ^ [_251208, _251210]))], (420 ^ _236738) ^ [] : [-(leq(412 ^ [_251208, _251210], _251208))], (422 ^ _236738) ^ [] : [a_select3(_251210, 411 ^ [_251208, _251210], 412 ^ [_251208, _251210]) = a_select3(_251210, 412 ^ [_251208, _251210], 411 ^ [_251208, _251210])]], 423 ^ _236738 : [(424 ^ _236738) ^ [_251965, _251967] : [-(a_select3(trans(_251210), _251967, _251965) = a_select3(trans(_251210), _251965, _251967)), leq(n0, _251967), leq(_251967, _251208), leq(n0, _251965), leq(_251965, _251208)]]], (442 ^ _236738) ^ [_252512, _252514] : [445 ^ _236738 : [(446 ^ _236738) ^ [] : [-(leq(n0, 443 ^ [_252512, _252514]))], (448 ^ _236738) ^ [] : [-(leq(443 ^ [_252512, _252514], _252512))], (450 ^ _236738) ^ [] : [-(leq(n0, 444 ^ [_252512, _252514]))], (452 ^ _236738) ^ [] : [-(leq(444 ^ [_252512, _252514], _252512))], (454 ^ _236738) ^ [] : [a_select3(_252514, 443 ^ [_252512, _252514], 444 ^ [_252512, _252514]) = a_select3(_252514, 444 ^ [_252512, _252514], 443 ^ [_252512, _252514])]], 455 ^ _236738 : [(456 ^ _236738) ^ [_253269, _253271] : [-(a_select3(inv(_252514), _253271, _253269) = a_select3(inv(_252514), _253269, _253271)), leq(n0, _253271), leq(_253271, _252512), leq(n0, _253269), leq(_253269, _252512)]]], (474 ^ _236738) ^ [_253816, _253818] : [477 ^ _236738 : [(478 ^ _236738) ^ [] : [-(leq(n0, 475 ^ [_253816, _253818]))], (480 ^ _236738) ^ [] : [-(leq(475 ^ [_253816, _253818], _253816))], (482 ^ _236738) ^ [] : [-(leq(n0, 476 ^ [_253816, _253818]))], (484 ^ _236738) ^ [] : [-(leq(476 ^ [_253816, _253818], _253816))], (486 ^ _236738) ^ [] : [a_select3(_253818, 475 ^ [_253816, _253818], 476 ^ [_253816, _253818]) = a_select3(_253818, 476 ^ [_253816, _253818], 475 ^ [_253816, _253818])]], 487 ^ _236738 : [(488 ^ _236738) ^ [_254629, _254631, _254633, _254635] : [-(a_select3(tptp_update3(_253818, _254631, _254631, _254629), _254635, _254633) = a_select3(tptp_update3(_253818, _254631, _254631, _254629), _254633, _254635)), leq(n0, _254635), leq(_254635, _253816), leq(n0, _254633), leq(_254633, _253816), leq(n0, _254631), leq(_254631, _253816)]]], (514 ^ _236738) ^ [_255448, _255450, _255452] : [519 ^ _236738 : [(520 ^ _236738) ^ [] : [-(leq(n0, 517 ^ [_255448, _255450, _255452]))], (522 ^ _236738) ^ [] : [-(leq(517 ^ [_255448, _255450, _255452], _255448))], (524 ^ _236738) ^ [] : [-(leq(n0, 518 ^ [_255448, _255450, _255452]))], (526 ^ _236738) ^ [] : [-(leq(518 ^ [_255448, _255450, _255452], _255448))], (528 ^ _236738) ^ [] : [a_select3(_255452, 517 ^ [_255448, _255450, _255452], 518 ^ [_255448, _255450, _255452]) = a_select3(_255452, 518 ^ [_255448, _255450, _255452], 517 ^ [_255448, _255450, _255452])]], 531 ^ _236738 : [(532 ^ _236738) ^ [] : [-(leq(n0, 529 ^ [_255448, _255450, _255452]))], (534 ^ _236738) ^ [] : [-(leq(529 ^ [_255448, _255450, _255452], _255448))], (536 ^ _236738) ^ [] : [-(leq(n0, 530 ^ [_255448, _255450, _255452]))], (538 ^ _236738) ^ [] : [-(leq(530 ^ [_255448, _255450, _255452], _255448))], (540 ^ _236738) ^ [] : [a_select3(_255450, 529 ^ [_255448, _255450, _255452], 530 ^ [_255448, _255450, _255452]) = a_select3(_255450, 530 ^ [_255448, _255450, _255452], 529 ^ [_255448, _255450, _255452])]], 541 ^ _236738 : [(542 ^ _236738) ^ [_256957, _256959] : [-(a_select3(tptp_madd(_255452, _255450), _256959, _256957) = a_select3(tptp_madd(_255452, _255450), _256957, _256959)), leq(n0, _256959), leq(_256959, _255448), leq(n0, _256957), leq(_256957, _255448)]]], (560 ^ _236738) ^ [_257543, _257545, _257547] : [565 ^ _236738 : [(566 ^ _236738) ^ [] : [-(leq(n0, 563 ^ [_257543, _257545, _257547]))], (568 ^ _236738) ^ [] : [-(leq(563 ^ [_257543, _257545, _257547], _257543))], (570 ^ _236738) ^ [] : [-(leq(n0, 564 ^ [_257543, _257545, _257547]))], (572 ^ _236738) ^ [] : [-(leq(564 ^ [_257543, _257545, _257547], _257543))], (574 ^ _236738) ^ [] : [a_select3(_257547, 563 ^ [_257543, _257545, _257547], 564 ^ [_257543, _257545, _257547]) = a_select3(_257547, 564 ^ [_257543, _257545, _257547], 563 ^ [_257543, _257545, _257547])]], 577 ^ _236738 : [(578 ^ _236738) ^ [] : [-(leq(n0, 575 ^ [_257543, _257545, _257547]))], (580 ^ _236738) ^ [] : [-(leq(575 ^ [_257543, _257545, _257547], _257543))], (582 ^ _236738) ^ [] : [-(leq(n0, 576 ^ [_257543, _257545, _257547]))], (584 ^ _236738) ^ [] : [-(leq(576 ^ [_257543, _257545, _257547], _257543))], (586 ^ _236738) ^ [] : [a_select3(_257545, 575 ^ [_257543, _257545, _257547], 576 ^ [_257543, _257545, _257547]) = a_select3(_257545, 576 ^ [_257543, _257545, _257547], 575 ^ [_257543, _257545, _257547])]], 587 ^ _236738 : [(588 ^ _236738) ^ [_259052, _259054] : [-(a_select3(tptp_msub(_257547, _257545), _259054, _259052) = a_select3(tptp_msub(_257547, _257545), _259052, _259054)), leq(n0, _259054), leq(_259054, _257543), leq(n0, _259052), leq(_259052, _257543)]]], (606 ^ _236738) ^ [_259638, _259640, _259642] : [609 ^ _236738 : [(610 ^ _236738) ^ [] : [-(leq(n0, 607 ^ [_259638, _259640, _259642]))], (612 ^ _236738) ^ [] : [-(leq(607 ^ [_259638, _259640, _259642], _259638))], (614 ^ _236738) ^ [] : [-(leq(n0, 608 ^ [_259638, _259640, _259642]))], (616 ^ _236738) ^ [] : [-(leq(608 ^ [_259638, _259640, _259642], _259638))], (618 ^ _236738) ^ [] : [a_select3(_259640, 607 ^ [_259638, _259640, _259642], 608 ^ [_259638, _259640, _259642]) = a_select3(_259640, 608 ^ [_259638, _259640, _259642], 607 ^ [_259638, _259640, _259642])]], 619 ^ _236738 : [(620 ^ _236738) ^ [_260451, _260453] : [-(a_select3(tptp_mmul(_259642, tptp_mmul(_259640, trans(_259642))), _260453, _260451) = a_select3(tptp_mmul(_259642, tptp_mmul(_259640, trans(_259642))), _260451, _260453)), leq(n0, _260453), leq(_260453, _259638), leq(n0, _260451), leq(_260451, _259638)]]], (638 ^ _236738) ^ [_261070, _261072, _261074, _261076] : [641 ^ _236738 : [(642 ^ _236738) ^ [] : [-(leq(n0, 639 ^ [_261070, _261072, _261074, _261076]))], (644 ^ _236738) ^ [] : [-(leq(639 ^ [_261070, _261072, _261074, _261076], _261070))], (646 ^ _236738) ^ [] : [-(leq(n0, 640 ^ [_261070, _261072, _261074, _261076]))], (648 ^ _236738) ^ [] : [-(leq(640 ^ [_261070, _261072, _261074, _261076], _261070))], (650 ^ _236738) ^ [] : [a_select3(_261074, 639 ^ [_261070, _261072, _261074, _261076], 640 ^ [_261070, _261072, _261074, _261076]) = a_select3(_261074, 640 ^ [_261070, _261072, _261074, _261076], 639 ^ [_261070, _261072, _261074, _261076])]], 651 ^ _236738 : [(652 ^ _236738) ^ [_261927, _261929] : [-(a_select3(tptp_mmul(_261076, tptp_mmul(_261074, trans(_261076))), _261929, _261927) = a_select3(tptp_mmul(_261076, tptp_mmul(_261074, trans(_261076))), _261927, _261929)), leq(n0, _261929), leq(_261929, _261072), leq(n0, _261927), leq(_261927, _261072)]]], (670 ^ _236738) ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636] : [675 ^ _236738 : [(676 ^ _236738) ^ [] : [-(leq(n0, 673 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (678 ^ _236738) ^ [] : [-(leq(673 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262622))], (680 ^ _236738) ^ [] : [-(leq(n0, 674 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (682 ^ _236738) ^ [] : [-(leq(674 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262622))], (684 ^ _236738) ^ [] : [a_select3(_262630, 673 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 674 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]) = a_select3(_262630, 674 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 673 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636])]], 689 ^ _236738 : [(690 ^ _236738) ^ [] : [-(leq(n0, 687 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (692 ^ _236738) ^ [] : [-(leq(687 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262624))], (694 ^ _236738) ^ [] : [-(leq(n0, 688 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (696 ^ _236738) ^ [] : [-(leq(688 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262624))], (698 ^ _236738) ^ [] : [a_select3(_262636, 687 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 688 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]) = a_select3(_262636, 688 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 687 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636])]], 701 ^ _236738 : [(702 ^ _236738) ^ [] : [-(leq(n0, 699 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (704 ^ _236738) ^ [] : [-(leq(699 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262624))], (706 ^ _236738) ^ [] : [-(leq(n0, 700 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]))], (708 ^ _236738) ^ [] : [-(leq(700 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], _262624))], (710 ^ _236738) ^ [] : [a_select3(_262626, 699 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 700 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636]) = a_select3(_262626, 700 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636], 699 ^ [_262622, _262624, _262626, _262628, _262630, _262632, _262634, _262636])]], 711 ^ _236738 : [(712 ^ _236738) ^ [_265550, _265552] : [-(a_select3(tptp_madd(_262636, tptp_mmul(_262634, tptp_mmul(tptp_madd(tptp_mmul(_262632, tptp_mmul(_262630, trans(_262632))), tptp_mmul(_262628, tptp_mmul(_262626, trans(_262628)))), trans(_262634)))), _265552, _265550) = a_select3(tptp_madd(_262636, tptp_mmul(_262634, tptp_mmul(tptp_madd(tptp_mmul(_262632, tptp_mmul(_262630, trans(_262632))), tptp_mmul(_262628, tptp_mmul(_262626, trans(_262628)))), trans(_262634)))), _265550, _265552)), leq(n0, _265552), leq(_265552, _262624), leq(n0, _265550), leq(_265550, _262624)]]], (730 ^ _236738) ^ [_266303] : [-(sum(n0, tptp_minus_1, _266303) = n0)], (732 ^ _236738) ^ [_266385] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _266385))], (734 ^ _236738) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _236738) ^ [_266520] : [-(plus(_266520, n1) = succ(_266520))], (738 ^ _236738) ^ [_266603] : [-(plus(n1, _266603) = succ(_266603))], (740 ^ _236738) ^ [_266686] : [-(plus(_266686, n2) = succ(succ(_266686)))], (742 ^ _236738) ^ [_266771] : [-(plus(n2, _266771) = succ(succ(_266771)))], (744 ^ _236738) ^ [_266856] : [-(plus(_266856, n3) = succ(succ(succ(_266856))))], (746 ^ _236738) ^ [_266943] : [-(plus(n3, _266943) = succ(succ(succ(_266943))))], (748 ^ _236738) ^ [_267030] : [-(plus(_267030, n4) = succ(succ(succ(succ(_267030)))))], (750 ^ _236738) ^ [_267119] : [-(plus(n4, _267119) = succ(succ(succ(succ(_267119)))))], (752 ^ _236738) ^ [_267208] : [-(plus(_267208, n5) = succ(succ(succ(succ(succ(_267208))))))], (754 ^ _236738) ^ [_267299] : [-(plus(n5, _267299) = succ(succ(succ(succ(succ(_267299))))))], (756 ^ _236738) ^ [_267390] : [-(minus(_267390, n1) = pred(_267390))], (758 ^ _236738) ^ [_267473] : [-(pred(succ(_267473)) = _267473)], (760 ^ _236738) ^ [_267555] : [-(succ(pred(_267555)) = _267555)], (762 ^ _236738) ^ [_267695, _267697] : [leq(succ(_267697), succ(_267695)), -(leq(_267697, _267695))], (768 ^ _236738) ^ [_267865, _267867] : [leq(_267867, _267865), -(leq(succ(_267867), succ(_267865)))], (774 ^ _236738) ^ [_268085, _268087] : [leq(succ(_268087), _268085), -(gt(_268085, _268087))], (780 ^ _236738) ^ [_268299, _268301] : [leq(minus(_268301, _268299), _268301), -(leq(n0, _268299))], (786 ^ _236738) ^ [_268528, _268530, _268532, _268534] : [-(a_select3(tptp_update3(_268534, _268532, _268530, _268528), _268532, _268530) = _268528)], (788 ^ _236738) ^ [_268720, _268722, _268724, _268726, _268728, _268730, _268732] : [-(a_select3(tptp_update3(_268724, _268732, _268730, _268720), _268728, _268726) = _268722), -(_268732 = _268728), _268730 = _268726, a_select3(_268724, _268728, _268726) = _268722], (802 ^ _236738) ^ [_269263, _269265, _269267, _269269, _269271, _269273] : [-(a_select3(tptp_update3(_269265, _269269, _269267, _269263), _269273, _269271) = _269263), 807 ^ _236738 : [(808 ^ _236738) ^ [] : [-(leq(n0, 805 ^ [_269263, _269265, _269267, _269269, _269271, _269273]))], (810 ^ _236738) ^ [] : [-(leq(n0, 806 ^ [_269263, _269265, _269267, _269269, _269271, _269273]))], (812 ^ _236738) ^ [] : [-(leq(805 ^ [_269263, _269265, _269267, _269269, _269271, _269273], _269269))], (814 ^ _236738) ^ [] : [-(leq(806 ^ [_269263, _269265, _269267, _269269, _269271, _269273], _269267))], (816 ^ _236738) ^ [] : [a_select3(_269265, 805 ^ [_269263, _269265, _269267, _269269, _269271, _269273], 806 ^ [_269263, _269265, _269267, _269269, _269271, _269273]) = _269263]], leq(n0, _269273), leq(_269273, _269269), leq(n0, _269271), leq(_269271, _269267)], (834 ^ _236738) ^ [_270605, _270607, _270609] : [-(a_select2(tptp_update2(_270609, _270607, _270605), _270607) = _270605)], (836 ^ _236738) ^ [_270765, _270767, _270769, _270771, _270773] : [-(a_select2(tptp_update2(_270769, _270773, _270765), _270771) = _270767), -(_270773 = _270771), a_select2(_270769, _270771) = _270767], (865 ^ _236738) ^ [] : [-(true)], (867 ^ _236738) ^ [] : [def = use], (846 ^ _236738) ^ [_271145, _271147, _271149, _271151] : [-(a_select2(tptp_update2(_271147, _271149, _271145), _271151) = _271145), 850 ^ _236738 : [(851 ^ _236738) ^ [] : [-(leq(n0, 849 ^ [_271145, _271147, _271149, _271151]))], (853 ^ _236738) ^ [] : [-(leq(849 ^ [_271145, _271147, _271149, _271151], _271149))], (855 ^ _236738) ^ [] : [a_select2(_271147, 849 ^ [_271145, _271147, _271149, _271151]) = _271145]], leq(n0, _271151), leq(_271151, _271149)]], input).
% 0.36/1.41  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(pv5, minus(n999, n1)), 1259 : a_select3(u_defuse, 1248 ^ [], 1249 ^ []) = use, 1259 : a_select3(z_defuse, 1248 ^ [], 1249 ^ []) = use],start(1133 ^ 0)).
% 0.36/1.41  ncf('1.1',plain,[-(a_select2(rho_defuse, n0) = use)],extension(1055 ^ 1)).
% 0.36/1.41  ncf('1.2',plain,[-(a_select2(rho_defuse, n1) = use)],extension(1057 ^ 1)).
% 0.36/1.41  ncf('1.3',plain,[-(a_select2(rho_defuse, n2) = use)],extension(1059 ^ 1)).
% 0.36/1.41  ncf('1.4',plain,[-(a_select2(sigma_defuse, n0) = use)],extension(1061 ^ 1)).
% 0.36/1.41  ncf('1.5',plain,[-(a_select2(sigma_defuse, n1) = use)],extension(1063 ^ 1)).
% 0.36/1.41  ncf('1.6',plain,[-(a_select2(sigma_defuse, n2) = use)],extension(1065 ^ 1)).
% 0.36/1.41  ncf('1.7',plain,[-(a_select2(sigma_defuse, n3) = use)],extension(1067 ^ 1)).
% 0.36/1.41  ncf('1.8',plain,[-(a_select2(sigma_defuse, n4) = use)],extension(1069 ^ 1)).
% 0.36/1.41  ncf('1.9',plain,[-(a_select2(sigma_defuse, n5) = use)],extension(1071 ^ 1)).
% 0.36/1.41  ncf('1.10',plain,[-(a_select3(u_defuse, n0, n0) = use)],extension(1073 ^ 1)).
% 0.36/1.41  ncf('1.11',plain,[-(a_select3(u_defuse, n1, n0) = use)],extension(1075 ^ 1)).
% 0.36/1.41  ncf('1.12',plain,[-(a_select3(u_defuse, n2, n0) = use)],extension(1077 ^ 1)).
% 0.36/1.41  ncf('1.13',plain,[-(a_select2(xinit_defuse, n3) = use)],extension(1079 ^ 1)).
% 0.36/1.41  ncf('1.14',plain,[-(a_select2(xinit_defuse, n4) = use)],extension(1081 ^ 1)).
% 0.36/1.41  ncf('1.15',plain,[-(a_select2(xinit_defuse, n5) = use)],extension(1083 ^ 1)).
% 0.36/1.41  ncf('1.16',plain,[-(a_select2(xinit_mean_defuse, n0) = use)],extension(1085 ^ 1)).
% 0.36/1.41  ncf('1.17',plain,[-(a_select2(xinit_mean_defuse, n1) = use)],extension(1087 ^ 1)).
% 0.36/1.41  ncf('1.18',plain,[-(a_select2(xinit_mean_defuse, n2) = use)],extension(1089 ^ 1)).
% 0.36/1.41  ncf('1.19',plain,[-(a_select2(xinit_mean_defuse, n3) = use)],extension(1091 ^ 1)).
% 0.36/1.41  ncf('1.20',plain,[-(a_select2(xinit_mean_defuse, n4) = use)],extension(1093 ^ 1)).
% 0.36/1.41  ncf('1.21',plain,[-(a_select2(xinit_mean_defuse, n5) = use)],extension(1095 ^ 1)).
% 0.36/1.41  ncf('1.22',plain,[-(a_select2(xinit_noise_defuse, n0) = use)],extension(1097 ^ 1)).
% 0.36/1.41  ncf('1.23',plain,[-(a_select2(xinit_noise_defuse, n1) = use)],extension(1099 ^ 1)).
% 0.36/1.41  ncf('1.24',plain,[-(a_select2(xinit_noise_defuse, n2) = use)],extension(1101 ^ 1)).
% 0.36/1.41  ncf('1.25',plain,[-(a_select2(xinit_noise_defuse, n3) = use)],extension(1103 ^ 1)).
% 0.36/1.41  ncf('1.26',plain,[-(a_select2(xinit_noise_defuse, n4) = use)],extension(1105 ^ 1)).
% 0.36/1.41  ncf('1.27',plain,[-(a_select2(xinit_noise_defuse, n5) = use)],extension(1107 ^ 1)).
% 0.36/1.41  ncf('1.28',plain,[-(leq(n0, pv5))],extension(1109 ^ 1)).
% 0.36/1.41  ncf('1.29',plain,[-(leq(pv5, minus(n999, n1)))],extension(1111 ^ 1)).
% 0.36/1.41  ncf('1.30',plain,[-(a_select3(u_defuse, 1248 ^ [], 1249 ^ []) = use), leq(n0, 1248 ^ []), leq(n0, 1249 ^ []), leq(1248 ^ [], n2), leq(1249 ^ [], minus(pv5, n1))],extension(1113 ^ 3,bind([[_278585, _278587], [1249 ^ [], 1248 ^ []]]))).
% 0.36/1.41  ncf('1.30.1',plain,[-(leq(n0, 1248 ^ []))],extension(1251 ^ 4)).
% 0.36/1.41  ncf('1.30.2',plain,[-(leq(n0, 1249 ^ []))],extension(1253 ^ 4)).
% 0.36/1.41  ncf('1.30.3',plain,[-(leq(1248 ^ [], n2))],extension(1255 ^ 4)).
% 0.36/1.41  ncf('1.30.4',plain,[-(leq(1249 ^ [], minus(pv5, n1)))],extension(1257 ^ 4)).
% 0.36/1.41  ncf('1.31',plain,[-(a_select3(z_defuse, 1248 ^ [], 1249 ^ []) = use), leq(n0, 1248 ^ []), leq(n0, 1249 ^ []), leq(1248 ^ [], n2), leq(1249 ^ [], minus(pv5, n1))],extension(1113 ^ 3,bind([[_278585, _278587], [1249 ^ [], 1248 ^ []]]))).
% 0.36/1.41  ncf('1.31.1',plain,[-(leq(n0, 1248 ^ []))],extension(1251 ^ 4)).
% 0.36/1.41  ncf('1.31.2',plain,[-(leq(n0, 1249 ^ []))],extension(1253 ^ 4)).
% 0.36/1.41  ncf('1.31.3',plain,[-(leq(1248 ^ [], n2))],extension(1255 ^ 4)).
% 0.36/1.41  ncf('1.31.4',plain,[-(leq(1249 ^ [], minus(pv5, n1)))],extension(1257 ^ 4)).
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------