%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV211+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 12:20:10 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV211+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 03:15:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1077 ^ _226343) ^ [] : [-(leq(n0, 1074 ^ []))], (1079 ^ _226343) ^ [] : [-(leq(n0, 1075 ^ []))], (1081 ^ _226343) ^ [] : [-(leq(1074 ^ [], n5))], (1083 ^ _226343) ^ [] : [-(leq(1075 ^ [], n5))], (1301 ^ _226343) ^ [] : [n0 = times(divide(n1, n400), a_select2(sigma, n0))], (1085 ^ _226343) ^ [] : [n0 = 1074 ^ [], n1 = 1075 ^ []], (1091 ^ _226343) ^ [] : [n0 = 1074 ^ [], n2 = 1075 ^ []], (1097 ^ _226343) ^ [] : [n0 = 1074 ^ [], n3 = 1075 ^ []], (1103 ^ _226343) ^ [] : [n0 = 1074 ^ [], n4 = 1075 ^ []], (1109 ^ _226343) ^ [] : [n0 = 1074 ^ [], n5 = 1075 ^ []], (1115 ^ _226343) ^ [] : [n0 = 1075 ^ [], n1 = 1074 ^ []], (1121 ^ _226343) ^ [] : [n0 = 1075 ^ [], n2 = 1074 ^ []], (1127 ^ _226343) ^ [] : [n0 = 1075 ^ [], n3 = 1074 ^ []], (1133 ^ _226343) ^ [] : [n0 = 1075 ^ [], n4 = 1074 ^ []], (1139 ^ _226343) ^ [] : [n0 = 1075 ^ [], n5 = 1074 ^ []], (1145 ^ _226343) ^ [] : [n1 = 1074 ^ [], n1 = 1075 ^ []], (1151 ^ _226343) ^ [] : [n1 = 1074 ^ [], n2 = 1075 ^ []], (1157 ^ _226343) ^ [] : [n1 = 1074 ^ [], n3 = 1075 ^ []], (1163 ^ _226343) ^ [] : [n1 = 1074 ^ [], n4 = 1075 ^ []], (1169 ^ _226343) ^ [] : [n1 = 1074 ^ [], n5 = 1075 ^ []], (1175 ^ _226343) ^ [] : [n1 = 1075 ^ [], n2 = 1074 ^ []], (1181 ^ _226343) ^ [] : [n1 = 1075 ^ [], n3 = 1074 ^ []], (1187 ^ _226343) ^ [] : [n1 = 1075 ^ [], n4 = 1074 ^ []], (1193 ^ _226343) ^ [] : [n1 = 1075 ^ [], n5 = 1074 ^ []], (1199 ^ _226343) ^ [] : [n2 = 1074 ^ [], n2 = 1075 ^ []], (1205 ^ _226343) ^ [] : [n2 = 1074 ^ [], n3 = 1075 ^ []], (1211 ^ _226343) ^ [] : [n2 = 1074 ^ [], n4 = 1075 ^ []], (1217 ^ _226343) ^ [] : [n2 = 1074 ^ [], n5 = 1075 ^ []], (1223 ^ _226343) ^ [] : [n2 = 1075 ^ [], n3 = 1074 ^ []], (1229 ^ _226343) ^ [] : [n2 = 1075 ^ [], n4 = 1074 ^ []], (1235 ^ _226343) ^ [] : [n2 = 1075 ^ [], n5 = 1074 ^ []], (1241 ^ _226343) ^ [] : [n3 = 1074 ^ [], n3 = 1075 ^ []], (1247 ^ _226343) ^ [] : [n3 = 1074 ^ [], n4 = 1075 ^ []], (1253 ^ _226343) ^ [] : [n3 = 1074 ^ [], n5 = 1075 ^ []], (1259 ^ _226343) ^ [] : [n3 = 1075 ^ [], n4 = 1074 ^ []], (1265 ^ _226343) ^ [] : [n3 = 1075 ^ [], n5 = 1074 ^ []], (1271 ^ _226343) ^ [] : [n4 = 1074 ^ [], n4 = 1075 ^ []], (1277 ^ _226343) ^ [] : [n4 = 1074 ^ [], n5 = 1075 ^ []], (1283 ^ _226343) ^ [] : [n4 = 1075 ^ [], n5 = 1074 ^ []], (1295 ^ _226343) ^ [] : [-(n0 = 1074 ^ [])], (1297 ^ _226343) ^ [] : [-(n0 = 1075 ^ [])], (1299 ^ _226343) ^ [] : [-(n1 = 1074 ^ [])], (1289 ^ _226343) ^ [] : [n5 = 1074 ^ [], n5 = 1075 ^ []], (2 ^ _226343) ^ [_226487] : [-(_226487 = _226487)], (4 ^ _226343) ^ [_226594, _226596] : [_226596 = _226594, -(_226594 = _226596)], (10 ^ _226343) ^ [_226798, _226800, _226802] : [-(_226802 = _226798), _226802 = _226800, _226800 = _226798], (20 ^ _226343) ^ [_227139, _227141, _227143, _227145] : [-(lt(_227143, _227139)), lt(_227145, _227141), _227145 = _227143, _227141 = _227139], (34 ^ _226343) ^ [_227583, _227585, _227587, _227589] : [-(geq(_227587, _227583)), geq(_227589, _227585), _227589 = _227587, _227585 = _227583], (48 ^ _226343) ^ [_228027, _228029, _228031, _228033] : [-(gt(_228031, _228027)), gt(_228033, _228029), _228033 = _228031, _228029 = _228027], (62 ^ _226343) ^ [_228451, _228453, _228455, _228457] : [-(leq(_228455, _228451)), leq(_228457, _228453), _228457 = _228455, _228453 = _228451], (76 ^ _226343) ^ [_228907, _228909, _228911, _228913] : [-(uniform_int_rnd(_228913, _228909) = uniform_int_rnd(_228911, _228907)), _228913 = _228911, _228909 = _228907], (86 ^ _226343) ^ [_229266, _229268, _229270, _229272] : [-(tptp_const_array1(_229272, _229268) = tptp_const_array1(_229270, _229266)), _229272 = _229270, _229268 = _229266], (96 ^ _226343) ^ [_229653, _229655, _229657, _229659, _229661, _229663] : [-(tptp_const_array2(_229663, _229659, _229655) = tptp_const_array2(_229661, _229657, _229653)), _229663 = _229661, _229659 = _229657, _229655 = _229653], (110 ^ _226343) ^ [_230141, _230143, _230145, _230147] : [-(dim(_230147, _230143) = dim(_230145, _230141)), _230147 = _230145, _230143 = _230141], (120 ^ _226343) ^ [_230472, _230474] : [_230474 = _230472, -(inv(_230474) = inv(_230472))], (126 ^ _226343) ^ [_230718, _230720, _230722, _230724] : [-(tptp_msub(_230724, _230720) = tptp_msub(_230722, _230718)), _230724 = _230722, _230720 = _230718], (136 ^ _226343) ^ [_231077, _231079, _231081, _231083] : [-(tptp_madd(_231083, _231079) = tptp_madd(_231081, _231077)), _231083 = _231081, _231079 = _231077], (146 ^ _226343) ^ [_231436, _231438, _231440, _231442] : [-(tptp_mmul(_231442, _231438) = tptp_mmul(_231440, _231436)), _231442 = _231440, _231438 = _231436], (156 ^ _226343) ^ [_231767, _231769] : [_231769 = _231767, -(trans(_231769) = trans(_231767))], (162 ^ _226343) ^ [_232041, _232043, _232045, _232047, _232049, _232051] : [-(sum(_232051, _232047, _232043) = sum(_232049, _232045, _232041)), _232051 = _232049, _232047 = _232045, _232043 = _232041], (176 ^ _226343) ^ [_232529, _232531, _232533, _232535] : [-(plus(_232535, _232531) = plus(_232533, _232529)), _232535 = _232533, _232531 = _232529], (186 ^ _226343) ^ [_232860, _232862] : [_232862 = _232860, -(pred(_232862) = pred(_232860))], (192 ^ _226343) ^ [_233106, _233108, _233110, _233112] : [-(minus(_233112, _233108) = minus(_233110, _233106)), _233112 = _233110, _233108 = _233106], (202 ^ _226343) ^ [_233493, _233495, _233497, _233499, _233501, _233503] : [-(a_select3(_233503, _233499, _233495) = a_select3(_233501, _233497, _233493)), _233503 = _233501, _233499 = _233497, _233495 = _233493], (216 ^ _226343) ^ [_234037, _234039, _234041, _234043, _234045, _234047, _234049, _234051] : [-(tptp_update3(_234051, _234047, _234043, _234039) = tptp_update3(_234049, _234045, _234041, _234037)), _234051 = _234049, _234047 = _234045, _234043 = _234041, _234039 = _234037], (234 ^ _226343) ^ [_234698, _234700, _234702, _234704, _234706, _234708] : [-(tptp_update2(_234708, _234704, _234700) = tptp_update2(_234706, _234702, _234698)), _234708 = _234706, _234704 = _234702, _234700 = _234698], (248 ^ _226343) ^ [_235158, _235160] : [_235160 = _235158, -(succ(_235160) = succ(_235158))], (254 ^ _226343) ^ [_235404, _235406, _235408, _235410] : [-(times(_235410, _235406) = times(_235408, _235404)), _235410 = _235408, _235406 = _235404], (264 ^ _226343) ^ [_235763, _235765, _235767, _235769] : [-(divide(_235769, _235765) = divide(_235767, _235763)), _235769 = _235767, _235765 = _235763], (274 ^ _226343) ^ [_236102, _236104, _236106, _236108] : [-(a_select2(_236108, _236104) = a_select2(_236106, _236102)), _236108 = _236106, _236104 = _236102], (889 ^ _226343) ^ [] : [-(gt(n5, n4))], (891 ^ _226343) ^ [] : [-(gt(n400, n4))], (893 ^ _226343) ^ [] : [-(gt(n400, n5))], (895 ^ _226343) ^ [] : [-(gt(n4, tptp_minus_1))], (897 ^ _226343) ^ [] : [-(gt(n5, tptp_minus_1))], (899 ^ _226343) ^ [] : [-(gt(n400, tptp_minus_1))], (901 ^ _226343) ^ [] : [-(gt(n0, tptp_minus_1))], (903 ^ _226343) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _226343) ^ [] : [-(gt(n2, tptp_minus_1))], (907 ^ _226343) ^ [] : [-(gt(n3, tptp_minus_1))], (909 ^ _226343) ^ [] : [-(gt(n4, n0))], (911 ^ _226343) ^ [] : [-(gt(n5, n0))], (913 ^ _226343) ^ [] : [-(gt(n400, n0))], (915 ^ _226343) ^ [] : [-(gt(n1, n0))], (917 ^ _226343) ^ [] : [-(gt(n2, n0))], (919 ^ _226343) ^ [] : [-(gt(n3, n0))], (921 ^ _226343) ^ [] : [-(gt(n4, n1))], (923 ^ _226343) ^ [] : [-(gt(n5, n1))], (925 ^ _226343) ^ [] : [-(gt(n400, n1))], (927 ^ _226343) ^ [] : [-(gt(n2, n1))], (929 ^ _226343) ^ [] : [-(gt(n3, n1))], (931 ^ _226343) ^ [] : [-(gt(n4, n2))], (933 ^ _226343) ^ [] : [-(gt(n5, n2))], (935 ^ _226343) ^ [] : [-(gt(n400, n2))], (937 ^ _226343) ^ [] : [-(gt(n3, n2))], (939 ^ _226343) ^ [] : [-(gt(n4, n3))], (941 ^ _226343) ^ [] : [-(gt(n5, n3))], (943 ^ _226343) ^ [] : [-(gt(n400, n3))], (945 ^ _226343) ^ [_263950] : [leq(n0, _263950), leq(_263950, n4), -(_263950 = n0), -(_263950 = n1), -(_263950 = n2), -(_263950 = n3), -(_263950 = n4)], (971 ^ _226343) ^ [_264571] : [leq(n0, _264571), leq(_264571, n5), -(_264571 = n0), -(_264571 = n1), -(_264571 = n2), -(_264571 = n3), -(_264571 = n4), -(_264571 = n5)], (1001 ^ _226343) ^ [_265278] : [-(_265278 = n0), leq(n0, _265278), leq(_265278, n0)], (1011 ^ _226343) ^ [_265553] : [leq(n0, _265553), leq(_265553, n1), -(_265553 = n0), -(_265553 = n1)], (1025 ^ _226343) ^ [_265916] : [leq(n0, _265916), leq(_265916, n2), -(_265916 = n0), -(_265916 = n1), -(_265916 = n2)], (1065 ^ _226343) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1067 ^ _226343) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1069 ^ _226343) ^ [] : [-(succ(n0) = n1)], (1071 ^ _226343) ^ [] : [-(succ(succ(n0)) = n2)], (1073 ^ _226343) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1043 ^ _226343) ^ [_266365] : [leq(n0, _266365), leq(_266365, n3), -(_266365 = n0), -(_266365 = n1), -(_266365 = n2), -(_266365 = n3)], (284 ^ _226343) ^ [_236541, _236543] : [-(gt(_236543, _236541)), -(gt(_236541, _236543)), -(_236543 = _236541)], (294 ^ _226343) ^ [_236856, _236858, _236860] : [-(gt(_236860, _236856)), gt(_236860, _236858), gt(_236858, _236856)], (304 ^ _226343) ^ [_237135] : [gt(_237135, _237135)], (306 ^ _226343) ^ [_237213] : [-(leq(_237213, _237213))], (308 ^ _226343) ^ [_237334, _237336, _237338] : [-(leq(_237338, _237334)), leq(_237338, _237336), leq(_237336, _237334)], (318 ^ _226343) ^ [_237672, _237674] : [lt(_237674, _237672), -(gt(_237672, _237674))], (324 ^ _226343) ^ [_237834, _237836] : [gt(_237834, _237836), -(lt(_237836, _237834))], (330 ^ _226343) ^ [_238075, _238077] : [geq(_238077, _238075), -(leq(_238075, _238077))], (336 ^ _226343) ^ [_238237, _238239] : [leq(_238237, _238239), -(geq(_238239, _238237))], (342 ^ _226343) ^ [_238449, _238451] : [gt(_238449, _238451), -(leq(_238451, _238449))], (348 ^ _226343) ^ [_238659, _238661] : [-(gt(_238659, _238661)), leq(_238661, _238659), -(_238661 = _238659)], (358 ^ _226343) ^ [_238990, _238992] : [leq(_238992, pred(_238990)), -(gt(_238990, _238992))], (364 ^ _226343) ^ [_239156, _239158] : [gt(_239156, _239158), -(leq(_239158, pred(_239156)))], (370 ^ _226343) ^ [_239343] : [-(gt(succ(_239343), _239343))], (372 ^ _226343) ^ [_239452, _239454] : [leq(_239454, _239452), -(leq(_239454, succ(_239452)))], (378 ^ _226343) ^ [_239695, _239697] : [leq(_239697, _239695), -(gt(succ(_239695), _239697))], (384 ^ _226343) ^ [_239861, _239863] : [gt(succ(_239861), _239863), -(leq(_239863, _239861))], (390 ^ _226343) ^ [_240077, _240079] : [leq(n0, _240079), -(leq(uniform_int_rnd(_240077, _240079), _240079))], (396 ^ _226343) ^ [_240293, _240295] : [leq(n0, _240295), -(leq(n0, uniform_int_rnd(_240293, _240295)))], (402 ^ _226343) ^ [_240537, _240539, _240541, _240543] : [-(a_select2(tptp_const_array1(dim(_240541, _240539), _240537), _240543) = _240537), leq(_240541, _240543), leq(_240543, _240539)], (412 ^ _226343) ^ [_240944, _240946, _240948, _240950, _240952, _240954, _240956] : [-(a_select3(tptp_const_array2(dim(_240954, _240952), dim(_240948, _240946), _240944), _240956, _240950) = _240944), leq(_240954, _240956), leq(_240956, _240952), leq(_240948, _240950), leq(_240950, _240946)], (430 ^ _226343) ^ [_241539, _241541] : [433 ^ _226343 : [(434 ^ _226343) ^ [] : [-(leq(n0, 431 ^ [_241539, _241541]))], (436 ^ _226343) ^ [] : [-(leq(431 ^ [_241539, _241541], _241539))], (438 ^ _226343) ^ [] : [-(leq(n0, 432 ^ [_241539, _241541]))], (440 ^ _226343) ^ [] : [-(leq(432 ^ [_241539, _241541], _241539))], (442 ^ _226343) ^ [] : [a_select3(_241541, 431 ^ [_241539, _241541], 432 ^ [_241539, _241541]) = a_select3(_241541, 432 ^ [_241539, _241541], 431 ^ [_241539, _241541])]], 443 ^ _226343 : [(444 ^ _226343) ^ [_242296, _242298] : [-(a_select3(trans(_241541), _242298, _242296) = a_select3(trans(_241541), _242296, _242298)), leq(n0, _242298), leq(_242298, _241539), leq(n0, _242296), leq(_242296, _241539)]]], (462 ^ _226343) ^ [_242843, _242845] : [465 ^ _226343 : [(466 ^ _226343) ^ [] : [-(leq(n0, 463 ^ [_242843, _242845]))], (468 ^ _226343) ^ [] : [-(leq(463 ^ [_242843, _242845], _242843))], (470 ^ _226343) ^ [] : [-(leq(n0, 464 ^ [_242843, _242845]))], (472 ^ _226343) ^ [] : [-(leq(464 ^ [_242843, _242845], _242843))], (474 ^ _226343) ^ [] : [a_select3(_242845, 463 ^ [_242843, _242845], 464 ^ [_242843, _242845]) = a_select3(_242845, 464 ^ [_242843, _242845], 463 ^ [_242843, _242845])]], 475 ^ _226343 : [(476 ^ _226343) ^ [_243600, _243602] : [-(a_select3(inv(_242845), _243602, _243600) = a_select3(inv(_242845), _243600, _243602)), leq(n0, _243602), leq(_243602, _242843), leq(n0, _243600), leq(_243600, _242843)]]], (494 ^ _226343) ^ [_244147, _244149] : [497 ^ _226343 : [(498 ^ _226343) ^ [] : [-(leq(n0, 495 ^ [_244147, _244149]))], (500 ^ _226343) ^ [] : [-(leq(495 ^ [_244147, _244149], _244147))], (502 ^ _226343) ^ [] : [-(leq(n0, 496 ^ [_244147, _244149]))], (504 ^ _226343) ^ [] : [-(leq(496 ^ [_244147, _244149], _244147))], (506 ^ _226343) ^ [] : [a_select3(_244149, 495 ^ [_244147, _244149], 496 ^ [_244147, _244149]) = a_select3(_244149, 496 ^ [_244147, _244149], 495 ^ [_244147, _244149])]], 507 ^ _226343 : [(508 ^ _226343) ^ [_244960, _244962, _244964, _244966] : [-(a_select3(tptp_update3(_244149, _244962, _244962, _244960), _244966, _244964) = a_select3(tptp_update3(_244149, _244962, _244962, _244960), _244964, _244966)), leq(n0, _244966), leq(_244966, _244147), leq(n0, _244964), leq(_244964, _244147), leq(n0, _244962), leq(_244962, _244147)]]], (534 ^ _226343) ^ [_245779, _245781, _245783] : [539 ^ _226343 : [(540 ^ _226343) ^ [] : [-(leq(n0, 537 ^ [_245779, _245781, _245783]))], (542 ^ _226343) ^ [] : [-(leq(537 ^ [_245779, _245781, _245783], _245779))], (544 ^ _226343) ^ [] : [-(leq(n0, 538 ^ [_245779, _245781, _245783]))], (546 ^ _226343) ^ [] : [-(leq(538 ^ [_245779, _245781, _245783], _245779))], (548 ^ _226343) ^ [] : [a_select3(_245783, 537 ^ [_245779, _245781, _245783], 538 ^ [_245779, _245781, _245783]) = a_select3(_245783, 538 ^ [_245779, _245781, _245783], 537 ^ [_245779, _245781, _245783])]], 551 ^ _226343 : [(552 ^ _226343) ^ [] : [-(leq(n0, 549 ^ [_245779, _245781, _245783]))], (554 ^ _226343) ^ [] : [-(leq(549 ^ [_245779, _245781, _245783], _245779))], (556 ^ _226343) ^ [] : [-(leq(n0, 550 ^ [_245779, _245781, _245783]))], (558 ^ _226343) ^ [] : [-(leq(550 ^ [_245779, _245781, _245783], _245779))], (560 ^ _226343) ^ [] : [a_select3(_245781, 549 ^ [_245779, _245781, _245783], 550 ^ [_245779, _245781, _245783]) = a_select3(_245781, 550 ^ [_245779, _245781, _245783], 549 ^ [_245779, _245781, _245783])]], 561 ^ _226343 : [(562 ^ _226343) ^ [_247288, _247290] : [-(a_select3(tptp_madd(_245783, _245781), _247290, _247288) = a_select3(tptp_madd(_245783, _245781), _247288, _247290)), leq(n0, _247290), leq(_247290, _245779), leq(n0, _247288), leq(_247288, _245779)]]], (580 ^ _226343) ^ [_247874, _247876, _247878] : [585 ^ _226343 : [(586 ^ _226343) ^ [] : [-(leq(n0, 583 ^ [_247874, _247876, _247878]))], (588 ^ _226343) ^ [] : [-(leq(583 ^ [_247874, _247876, _247878], _247874))], (590 ^ _226343) ^ [] : [-(leq(n0, 584 ^ [_247874, _247876, _247878]))], (592 ^ _226343) ^ [] : [-(leq(584 ^ [_247874, _247876, _247878], _247874))], (594 ^ _226343) ^ [] : [a_select3(_247878, 583 ^ [_247874, _247876, _247878], 584 ^ [_247874, _247876, _247878]) = a_select3(_247878, 584 ^ [_247874, _247876, _247878], 583 ^ [_247874, _247876, _247878])]], 597 ^ _226343 : [(598 ^ _226343) ^ [] : [-(leq(n0, 595 ^ [_247874, _247876, _247878]))], (600 ^ _226343) ^ [] : [-(leq(595 ^ [_247874, _247876, _247878], _247874))], (602 ^ _226343) ^ [] : [-(leq(n0, 596 ^ [_247874, _247876, _247878]))], (604 ^ _226343) ^ [] : [-(leq(596 ^ [_247874, _247876, _247878], _247874))], (606 ^ _226343) ^ [] : [a_select3(_247876, 595 ^ [_247874, _247876, _247878], 596 ^ [_247874, _247876, _247878]) = a_select3(_247876, 596 ^ [_247874, _247876, _247878], 595 ^ [_247874, _247876, _247878])]], 607 ^ _226343 : [(608 ^ _226343) ^ [_249383, _249385] : [-(a_select3(tptp_msub(_247878, _247876), _249385, _249383) = a_select3(tptp_msub(_247878, _247876), _249383, _249385)), leq(n0, _249385), leq(_249385, _247874), leq(n0, _249383), leq(_249383, _247874)]]], (626 ^ _226343) ^ [_249969, _249971, _249973] : [629 ^ _226343 : [(630 ^ _226343) ^ [] : [-(leq(n0, 627 ^ [_249969, _249971, _249973]))], (632 ^ _226343) ^ [] : [-(leq(627 ^ [_249969, _249971, _249973], _249969))], (634 ^ _226343) ^ [] : [-(leq(n0, 628 ^ [_249969, _249971, _249973]))], (636 ^ _226343) ^ [] : [-(leq(628 ^ [_249969, _249971, _249973], _249969))], (638 ^ _226343) ^ [] : [a_select3(_249971, 627 ^ [_249969, _249971, _249973], 628 ^ [_249969, _249971, _249973]) = a_select3(_249971, 628 ^ [_249969, _249971, _249973], 627 ^ [_249969, _249971, _249973])]], 639 ^ _226343 : [(640 ^ _226343) ^ [_250782, _250784] : [-(a_select3(tptp_mmul(_249973, tptp_mmul(_249971, trans(_249973))), _250784, _250782) = a_select3(tptp_mmul(_249973, tptp_mmul(_249971, trans(_249973))), _250782, _250784)), leq(n0, _250784), leq(_250784, _249969), leq(n0, _250782), leq(_250782, _249969)]]], (658 ^ _226343) ^ [_251401, _251403, _251405, _251407] : [661 ^ _226343 : [(662 ^ _226343) ^ [] : [-(leq(n0, 659 ^ [_251401, _251403, _251405, _251407]))], (664 ^ _226343) ^ [] : [-(leq(659 ^ [_251401, _251403, _251405, _251407], _251401))], (666 ^ _226343) ^ [] : [-(leq(n0, 660 ^ [_251401, _251403, _251405, _251407]))], (668 ^ _226343) ^ [] : [-(leq(660 ^ [_251401, _251403, _251405, _251407], _251401))], (670 ^ _226343) ^ [] : [a_select3(_251405, 659 ^ [_251401, _251403, _251405, _251407], 660 ^ [_251401, _251403, _251405, _251407]) = a_select3(_251405, 660 ^ [_251401, _251403, _251405, _251407], 659 ^ [_251401, _251403, _251405, _251407])]], 671 ^ _226343 : [(672 ^ _226343) ^ [_252258, _252260] : [-(a_select3(tptp_mmul(_251407, tptp_mmul(_251405, trans(_251407))), _252260, _252258) = a_select3(tptp_mmul(_251407, tptp_mmul(_251405, trans(_251407))), _252258, _252260)), leq(n0, _252260), leq(_252260, _251403), leq(n0, _252258), leq(_252258, _251403)]]], (690 ^ _226343) ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967] : [695 ^ _226343 : [(696 ^ _226343) ^ [] : [-(leq(n0, 693 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (698 ^ _226343) ^ [] : [-(leq(693 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252953))], (700 ^ _226343) ^ [] : [-(leq(n0, 694 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (702 ^ _226343) ^ [] : [-(leq(694 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252953))], (704 ^ _226343) ^ [] : [a_select3(_252961, 693 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 694 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]) = a_select3(_252961, 694 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 693 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967])]], 709 ^ _226343 : [(710 ^ _226343) ^ [] : [-(leq(n0, 707 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (712 ^ _226343) ^ [] : [-(leq(707 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252955))], (714 ^ _226343) ^ [] : [-(leq(n0, 708 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (716 ^ _226343) ^ [] : [-(leq(708 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252955))], (718 ^ _226343) ^ [] : [a_select3(_252967, 707 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 708 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]) = a_select3(_252967, 708 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 707 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967])]], 721 ^ _226343 : [(722 ^ _226343) ^ [] : [-(leq(n0, 719 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (724 ^ _226343) ^ [] : [-(leq(719 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252955))], (726 ^ _226343) ^ [] : [-(leq(n0, 720 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]))], (728 ^ _226343) ^ [] : [-(leq(720 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], _252955))], (730 ^ _226343) ^ [] : [a_select3(_252957, 719 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 720 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967]) = a_select3(_252957, 720 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967], 719 ^ [_252953, _252955, _252957, _252959, _252961, _252963, _252965, _252967])]], 731 ^ _226343 : [(732 ^ _226343) ^ [_255881, _255883] : [-(a_select3(tptp_madd(_252967, tptp_mmul(_252965, tptp_mmul(tptp_madd(tptp_mmul(_252963, tptp_mmul(_252961, trans(_252963))), tptp_mmul(_252959, tptp_mmul(_252957, trans(_252959)))), trans(_252965)))), _255883, _255881) = a_select3(tptp_madd(_252967, tptp_mmul(_252965, tptp_mmul(tptp_madd(tptp_mmul(_252963, tptp_mmul(_252961, trans(_252963))), tptp_mmul(_252959, tptp_mmul(_252957, trans(_252959)))), trans(_252965)))), _255881, _255883)), leq(n0, _255883), leq(_255883, _252955), leq(n0, _255881), leq(_255881, _252955)]]], (750 ^ _226343) ^ [_256634] : [-(sum(n0, tptp_minus_1, _256634) = n0)], (752 ^ _226343) ^ [_256716] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _256716))], (754 ^ _226343) ^ [] : [-(succ(tptp_minus_1) = n0)], (756 ^ _226343) ^ [_256851] : [-(plus(_256851, n1) = succ(_256851))], (758 ^ _226343) ^ [_256934] : [-(plus(n1, _256934) = succ(_256934))], (760 ^ _226343) ^ [_257017] : [-(plus(_257017, n2) = succ(succ(_257017)))], (762 ^ _226343) ^ [_257102] : [-(plus(n2, _257102) = succ(succ(_257102)))], (764 ^ _226343) ^ [_257187] : [-(plus(_257187, n3) = succ(succ(succ(_257187))))], (766 ^ _226343) ^ [_257274] : [-(plus(n3, _257274) = succ(succ(succ(_257274))))], (768 ^ _226343) ^ [_257361] : [-(plus(_257361, n4) = succ(succ(succ(succ(_257361)))))], (770 ^ _226343) ^ [_257450] : [-(plus(n4, _257450) = succ(succ(succ(succ(_257450)))))], (772 ^ _226343) ^ [_257539] : [-(plus(_257539, n5) = succ(succ(succ(succ(succ(_257539))))))], (774 ^ _226343) ^ [_257630] : [-(plus(n5, _257630) = succ(succ(succ(succ(succ(_257630))))))], (776 ^ _226343) ^ [_257721] : [-(minus(_257721, n1) = pred(_257721))], (778 ^ _226343) ^ [_257804] : [-(pred(succ(_257804)) = _257804)], (780 ^ _226343) ^ [_257886] : [-(succ(pred(_257886)) = _257886)], (782 ^ _226343) ^ [_258026, _258028] : [leq(succ(_258028), succ(_258026)), -(leq(_258028, _258026))], (788 ^ _226343) ^ [_258196, _258198] : [leq(_258198, _258196), -(leq(succ(_258198), succ(_258196)))], (794 ^ _226343) ^ [_258416, _258418] : [leq(succ(_258418), _258416), -(gt(_258416, _258418))], (800 ^ _226343) ^ [_258630, _258632] : [leq(minus(_258632, _258630), _258632), -(leq(n0, _258630))], (806 ^ _226343) ^ [_258859, _258861, _258863, _258865] : [-(a_select3(tptp_update3(_258865, _258863, _258861, _258859), _258863, _258861) = _258859)], (808 ^ _226343) ^ [_259051, _259053, _259055, _259057, _259059, _259061, _259063] : [-(a_select3(tptp_update3(_259055, _259063, _259061, _259051), _259059, _259057) = _259053), -(_259063 = _259059), _259061 = _259057, a_select3(_259055, _259059, _259057) = _259053], (822 ^ _226343) ^ [_259594, _259596, _259598, _259600, _259602, _259604] : [-(a_select3(tptp_update3(_259596, _259600, _259598, _259594), _259604, _259602) = _259594), 827 ^ _226343 : [(828 ^ _226343) ^ [] : [-(leq(n0, 825 ^ [_259594, _259596, _259598, _259600, _259602, _259604]))], (830 ^ _226343) ^ [] : [-(leq(n0, 826 ^ [_259594, _259596, _259598, _259600, _259602, _259604]))], (832 ^ _226343) ^ [] : [-(leq(825 ^ [_259594, _259596, _259598, _259600, _259602, _259604], _259600))], (834 ^ _226343) ^ [] : [-(leq(826 ^ [_259594, _259596, _259598, _259600, _259602, _259604], _259598))], (836 ^ _226343) ^ [] : [a_select3(_259596, 825 ^ [_259594, _259596, _259598, _259600, _259602, _259604], 826 ^ [_259594, _259596, _259598, _259600, _259602, _259604]) = _259594]], leq(n0, _259604), leq(_259604, _259600), leq(n0, _259602), leq(_259602, _259598)], (854 ^ _226343) ^ [_260936, _260938, _260940] : [-(a_select2(tptp_update2(_260940, _260938, _260936), _260938) = _260936)], (856 ^ _226343) ^ [_261096, _261098, _261100, _261102, _261104] : [-(a_select2(tptp_update2(_261100, _261104, _261096), _261102) = _261098), -(_261104 = _261102), a_select2(_261100, _261102) = _261098], (885 ^ _226343) ^ [] : [-(true)], (887 ^ _226343) ^ [] : [def = use], (866 ^ _226343) ^ [_261476, _261478, _261480, _261482] : [-(a_select2(tptp_update2(_261478, _261480, _261476), _261482) = _261476), 870 ^ _226343 : [(871 ^ _226343) ^ [] : [-(leq(n0, 869 ^ [_261476, _261478, _261480, _261482]))], (873 ^ _226343) ^ [] : [-(leq(869 ^ [_261476, _261478, _261480, _261482], _261480))], (875 ^ _226343) ^ [] : [a_select2(_261478, 869 ^ [_261476, _261478, _261480, _261482]) = _261476]], leq(n0, _261482), leq(_261482, _261480)]], input).
% 0.33/1.38  ncf('1',plain,[n0 = 1075 ^ [], n1 = 1074 ^ []],start(1115 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(n0 = 1075 ^ [])],extension(1297 ^ 1)).
% 0.33/1.38  ncf('1.2',plain,[-(n1 = 1074 ^ [])],extension(1299 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------