%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV214+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 12:20:11 EDT 2023

% Result   : Theorem 0.24s 1.32s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : SWV214+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.09  % Command  : nanocop.sh %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Fri May 19 02:29:50 EDT 2023
% 0.08/0.28  % CPUTime  : 
% 0.24/1.32  
% 0.24/1.32  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.24/1.32  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/1.32  %-----------------------------------------------------
% 0.24/1.32  ncf(matrix, plain, [(1077 ^ _223877) ^ [] : [-(leq(n0, 1074 ^ []))], (1079 ^ _223877) ^ [] : [-(leq(n0, 1075 ^ []))], (1081 ^ _223877) ^ [] : [-(leq(1074 ^ [], n5))], (1083 ^ _223877) ^ [] : [-(leq(1075 ^ [], n5))], (1279 ^ _223877) ^ [] : [n0 = times(divide(n1, n400), a_select2(sigma, n1))], (1085 ^ _223877) ^ [] : [n0 = 1074 ^ [], n2 = 1075 ^ []], (1091 ^ _223877) ^ [] : [n0 = 1074 ^ [], n3 = 1075 ^ []], (1097 ^ _223877) ^ [] : [n0 = 1074 ^ [], n4 = 1075 ^ []], (1103 ^ _223877) ^ [] : [n0 = 1074 ^ [], n5 = 1075 ^ []], (1109 ^ _223877) ^ [] : [n0 = 1075 ^ [], n3 = 1074 ^ []], (1115 ^ _223877) ^ [] : [n0 = 1075 ^ [], n4 = 1074 ^ []], (1121 ^ _223877) ^ [] : [n0 = 1075 ^ [], n5 = 1074 ^ []], (1127 ^ _223877) ^ [] : [n1 = 1074 ^ [], n2 = 1075 ^ []], (1133 ^ _223877) ^ [] : [n1 = 1074 ^ [], n3 = 1075 ^ []], (1139 ^ _223877) ^ [] : [n1 = 1074 ^ [], n4 = 1075 ^ []], (1145 ^ _223877) ^ [] : [n1 = 1074 ^ [], n5 = 1075 ^ []], (1151 ^ _223877) ^ [] : [n1 = 1075 ^ [], n2 = 1074 ^ []], (1157 ^ _223877) ^ [] : [n1 = 1075 ^ [], n3 = 1074 ^ []], (1163 ^ _223877) ^ [] : [n1 = 1075 ^ [], n4 = 1074 ^ []], (1169 ^ _223877) ^ [] : [n1 = 1075 ^ [], n5 = 1074 ^ []], (1175 ^ _223877) ^ [] : [n2 = 1074 ^ [], n2 = 1075 ^ []], (1181 ^ _223877) ^ [] : [n2 = 1074 ^ [], n3 = 1075 ^ []], (1187 ^ _223877) ^ [] : [n2 = 1074 ^ [], n4 = 1075 ^ []], (1193 ^ _223877) ^ [] : [n2 = 1074 ^ [], n5 = 1075 ^ []], (1199 ^ _223877) ^ [] : [n2 = 1075 ^ [], n3 = 1074 ^ []], (1205 ^ _223877) ^ [] : [n2 = 1075 ^ [], n4 = 1074 ^ []], (1211 ^ _223877) ^ [] : [n2 = 1075 ^ [], n5 = 1074 ^ []], (1217 ^ _223877) ^ [] : [n3 = 1074 ^ [], n3 = 1075 ^ []], (1223 ^ _223877) ^ [] : [n3 = 1074 ^ [], n4 = 1075 ^ []], (1229 ^ _223877) ^ [] : [n3 = 1074 ^ [], n5 = 1075 ^ []], (1235 ^ _223877) ^ [] : [n3 = 1075 ^ [], n4 = 1074 ^ []], (1241 ^ _223877) ^ [] : [n3 = 1075 ^ [], n5 = 1074 ^ []], (1247 ^ _223877) ^ [] : [n4 = 1074 ^ [], n4 = 1075 ^ []], (1253 ^ _223877) ^ [] : [n4 = 1074 ^ [], n5 = 1075 ^ []], (1259 ^ _223877) ^ [] : [n4 = 1075 ^ [], n5 = 1074 ^ []], (1271 ^ _223877) ^ [] : [-(n1 = 1074 ^ [])], (1273 ^ _223877) ^ [] : [-(n1 = 1075 ^ [])], (1275 ^ _223877) ^ [] : [-(n2 = 1074 ^ [])], (1277 ^ _223877) ^ [] : [-(n5 = 1075 ^ [])], (1265 ^ _223877) ^ [] : [n5 = 1074 ^ [], n5 = 1075 ^ []], (2 ^ _223877) ^ [_224021] : [-(_224021 = _224021)], (4 ^ _223877) ^ [_224128, _224130] : [_224130 = _224128, -(_224128 = _224130)], (10 ^ _223877) ^ [_224332, _224334, _224336] : [-(_224336 = _224332), _224336 = _224334, _224334 = _224332], (20 ^ _223877) ^ [_224673, _224675, _224677, _224679] : [-(lt(_224677, _224673)), lt(_224679, _224675), _224679 = _224677, _224675 = _224673], (34 ^ _223877) ^ [_225117, _225119, _225121, _225123] : [-(geq(_225121, _225117)), geq(_225123, _225119), _225123 = _225121, _225119 = _225117], (48 ^ _223877) ^ [_225561, _225563, _225565, _225567] : [-(gt(_225565, _225561)), gt(_225567, _225563), _225567 = _225565, _225563 = _225561], (62 ^ _223877) ^ [_225985, _225987, _225989, _225991] : [-(leq(_225989, _225985)), leq(_225991, _225987), _225991 = _225989, _225987 = _225985], (76 ^ _223877) ^ [_226441, _226443, _226445, _226447] : [-(uniform_int_rnd(_226447, _226443) = uniform_int_rnd(_226445, _226441)), _226447 = _226445, _226443 = _226441], (86 ^ _223877) ^ [_226800, _226802, _226804, _226806] : [-(tptp_const_array1(_226806, _226802) = tptp_const_array1(_226804, _226800)), _226806 = _226804, _226802 = _226800], (96 ^ _223877) ^ [_227187, _227189, _227191, _227193, _227195, _227197] : [-(tptp_const_array2(_227197, _227193, _227189) = tptp_const_array2(_227195, _227191, _227187)), _227197 = _227195, _227193 = _227191, _227189 = _227187], (110 ^ _223877) ^ [_227675, _227677, _227679, _227681] : [-(dim(_227681, _227677) = dim(_227679, _227675)), _227681 = _227679, _227677 = _227675], (120 ^ _223877) ^ [_228006, _228008] : [_228008 = _228006, -(inv(_228008) = inv(_228006))], (126 ^ _223877) ^ [_228252, _228254, _228256, _228258] : [-(tptp_msub(_228258, _228254) = tptp_msub(_228256, _228252)), _228258 = _228256, _228254 = _228252], (136 ^ _223877) ^ [_228611, _228613, _228615, _228617] : [-(tptp_madd(_228617, _228613) = tptp_madd(_228615, _228611)), _228617 = _228615, _228613 = _228611], (146 ^ _223877) ^ [_228970, _228972, _228974, _228976] : [-(tptp_mmul(_228976, _228972) = tptp_mmul(_228974, _228970)), _228976 = _228974, _228972 = _228970], (156 ^ _223877) ^ [_229301, _229303] : [_229303 = _229301, -(trans(_229303) = trans(_229301))], (162 ^ _223877) ^ [_229575, _229577, _229579, _229581, _229583, _229585] : [-(sum(_229585, _229581, _229577) = sum(_229583, _229579, _229575)), _229585 = _229583, _229581 = _229579, _229577 = _229575], (176 ^ _223877) ^ [_230063, _230065, _230067, _230069] : [-(plus(_230069, _230065) = plus(_230067, _230063)), _230069 = _230067, _230065 = _230063], (186 ^ _223877) ^ [_230394, _230396] : [_230396 = _230394, -(pred(_230396) = pred(_230394))], (192 ^ _223877) ^ [_230640, _230642, _230644, _230646] : [-(minus(_230646, _230642) = minus(_230644, _230640)), _230646 = _230644, _230642 = _230640], (202 ^ _223877) ^ [_231027, _231029, _231031, _231033, _231035, _231037] : [-(a_select3(_231037, _231033, _231029) = a_select3(_231035, _231031, _231027)), _231037 = _231035, _231033 = _231031, _231029 = _231027], (216 ^ _223877) ^ [_231571, _231573, _231575, _231577, _231579, _231581, _231583, _231585] : [-(tptp_update3(_231585, _231581, _231577, _231573) = tptp_update3(_231583, _231579, _231575, _231571)), _231585 = _231583, _231581 = _231579, _231577 = _231575, _231573 = _231571], (234 ^ _223877) ^ [_232232, _232234, _232236, _232238, _232240, _232242] : [-(tptp_update2(_232242, _232238, _232234) = tptp_update2(_232240, _232236, _232232)), _232242 = _232240, _232238 = _232236, _232234 = _232232], (248 ^ _223877) ^ [_232692, _232694] : [_232694 = _232692, -(succ(_232694) = succ(_232692))], (254 ^ _223877) ^ [_232938, _232940, _232942, _232944] : [-(times(_232944, _232940) = times(_232942, _232938)), _232944 = _232942, _232940 = _232938], (264 ^ _223877) ^ [_233297, _233299, _233301, _233303] : [-(divide(_233303, _233299) = divide(_233301, _233297)), _233303 = _233301, _233299 = _233297], (274 ^ _223877) ^ [_233636, _233638, _233640, _233642] : [-(a_select2(_233642, _233638) = a_select2(_233640, _233636)), _233642 = _233640, _233638 = _233636], (889 ^ _223877) ^ [] : [-(gt(n5, n4))], (891 ^ _223877) ^ [] : [-(gt(n400, n4))], (893 ^ _223877) ^ [] : [-(gt(n400, n5))], (895 ^ _223877) ^ [] : [-(gt(n4, tptp_minus_1))], (897 ^ _223877) ^ [] : [-(gt(n5, tptp_minus_1))], (899 ^ _223877) ^ [] : [-(gt(n400, tptp_minus_1))], (901 ^ _223877) ^ [] : [-(gt(n0, tptp_minus_1))], (903 ^ _223877) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _223877) ^ [] : [-(gt(n2, tptp_minus_1))], (907 ^ _223877) ^ [] : [-(gt(n3, tptp_minus_1))], (909 ^ _223877) ^ [] : [-(gt(n4, n0))], (911 ^ _223877) ^ [] : [-(gt(n5, n0))], (913 ^ _223877) ^ [] : [-(gt(n400, n0))], (915 ^ _223877) ^ [] : [-(gt(n1, n0))], (917 ^ _223877) ^ [] : [-(gt(n2, n0))], (919 ^ _223877) ^ [] : [-(gt(n3, n0))], (921 ^ _223877) ^ [] : [-(gt(n4, n1))], (923 ^ _223877) ^ [] : [-(gt(n5, n1))], (925 ^ _223877) ^ [] : [-(gt(n400, n1))], (927 ^ _223877) ^ [] : [-(gt(n2, n1))], (929 ^ _223877) ^ [] : [-(gt(n3, n1))], (931 ^ _223877) ^ [] : [-(gt(n4, n2))], (933 ^ _223877) ^ [] : [-(gt(n5, n2))], (935 ^ _223877) ^ [] : [-(gt(n400, n2))], (937 ^ _223877) ^ [] : [-(gt(n3, n2))], (939 ^ _223877) ^ [] : [-(gt(n4, n3))], (941 ^ _223877) ^ [] : [-(gt(n5, n3))], (943 ^ _223877) ^ [] : [-(gt(n400, n3))], (945 ^ _223877) ^ [_261484] : [leq(n0, _261484), leq(_261484, n4), -(_261484 = n0), -(_261484 = n1), -(_261484 = n2), -(_261484 = n3), -(_261484 = n4)], (971 ^ _223877) ^ [_262105] : [leq(n0, _262105), leq(_262105, n5), -(_262105 = n0), -(_262105 = n1), -(_262105 = n2), -(_262105 = n3), -(_262105 = n4), -(_262105 = n5)], (1001 ^ _223877) ^ [_262812] : [-(_262812 = n0), leq(n0, _262812), leq(_262812, n0)], (1011 ^ _223877) ^ [_263087] : [leq(n0, _263087), leq(_263087, n1), -(_263087 = n0), -(_263087 = n1)], (1025 ^ _223877) ^ [_263450] : [leq(n0, _263450), leq(_263450, n2), -(_263450 = n0), -(_263450 = n1), -(_263450 = n2)], (1065 ^ _223877) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1067 ^ _223877) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1069 ^ _223877) ^ [] : [-(succ(n0) = n1)], (1071 ^ _223877) ^ [] : [-(succ(succ(n0)) = n2)], (1073 ^ _223877) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1043 ^ _223877) ^ [_263899] : [leq(n0, _263899), leq(_263899, n3), -(_263899 = n0), -(_263899 = n1), -(_263899 = n2), -(_263899 = n3)], (284 ^ _223877) ^ [_234075, _234077] : [-(gt(_234077, _234075)), -(gt(_234075, _234077)), -(_234077 = _234075)], (294 ^ _223877) ^ [_234390, _234392, _234394] : [-(gt(_234394, _234390)), gt(_234394, _234392), gt(_234392, _234390)], (304 ^ _223877) ^ [_234669] : [gt(_234669, _234669)], (306 ^ _223877) ^ [_234747] : [-(leq(_234747, _234747))], (308 ^ _223877) ^ [_234868, _234870, _234872] : [-(leq(_234872, _234868)), leq(_234872, _234870), leq(_234870, _234868)], (318 ^ _223877) ^ [_235206, _235208] : [lt(_235208, _235206), -(gt(_235206, _235208))], (324 ^ _223877) ^ [_235368, _235370] : [gt(_235368, _235370), -(lt(_235370, _235368))], (330 ^ _223877) ^ [_235609, _235611] : [geq(_235611, _235609), -(leq(_235609, _235611))], (336 ^ _223877) ^ [_235771, _235773] : [leq(_235771, _235773), -(geq(_235773, _235771))], (342 ^ _223877) ^ [_235983, _235985] : [gt(_235983, _235985), -(leq(_235985, _235983))], (348 ^ _223877) ^ [_236193, _236195] : [-(gt(_236193, _236195)), leq(_236195, _236193), -(_236195 = _236193)], (358 ^ _223877) ^ [_236524, _236526] : [leq(_236526, pred(_236524)), -(gt(_236524, _236526))], (364 ^ _223877) ^ [_236690, _236692] : [gt(_236690, _236692), -(leq(_236692, pred(_236690)))], (370 ^ _223877) ^ [_236877] : [-(gt(succ(_236877), _236877))], (372 ^ _223877) ^ [_236986, _236988] : [leq(_236988, _236986), -(leq(_236988, succ(_236986)))], (378 ^ _223877) ^ [_237229, _237231] : [leq(_237231, _237229), -(gt(succ(_237229), _237231))], (384 ^ _223877) ^ [_237395, _237397] : [gt(succ(_237395), _237397), -(leq(_237397, _237395))], (390 ^ _223877) ^ [_237611, _237613] : [leq(n0, _237613), -(leq(uniform_int_rnd(_237611, _237613), _237613))], (396 ^ _223877) ^ [_237827, _237829] : [leq(n0, _237829), -(leq(n0, uniform_int_rnd(_237827, _237829)))], (402 ^ _223877) ^ [_238071, _238073, _238075, _238077] : [-(a_select2(tptp_const_array1(dim(_238075, _238073), _238071), _238077) = _238071), leq(_238075, _238077), leq(_238077, _238073)], (412 ^ _223877) ^ [_238478, _238480, _238482, _238484, _238486, _238488, _238490] : [-(a_select3(tptp_const_array2(dim(_238488, _238486), dim(_238482, _238480), _238478), _238490, _238484) = _238478), leq(_238488, _238490), leq(_238490, _238486), leq(_238482, _238484), leq(_238484, _238480)], (430 ^ _223877) ^ [_239073, _239075] : [433 ^ _223877 : [(434 ^ _223877) ^ [] : [-(leq(n0, 431 ^ [_239073, _239075]))], (436 ^ _223877) ^ [] : [-(leq(431 ^ [_239073, _239075], _239073))], (438 ^ _223877) ^ [] : [-(leq(n0, 432 ^ [_239073, _239075]))], (440 ^ _223877) ^ [] : [-(leq(432 ^ [_239073, _239075], _239073))], (442 ^ _223877) ^ [] : [a_select3(_239075, 431 ^ [_239073, _239075], 432 ^ [_239073, _239075]) = a_select3(_239075, 432 ^ [_239073, _239075], 431 ^ [_239073, _239075])]], 443 ^ _223877 : [(444 ^ _223877) ^ [_239830, _239832] : [-(a_select3(trans(_239075), _239832, _239830) = a_select3(trans(_239075), _239830, _239832)), leq(n0, _239832), leq(_239832, _239073), leq(n0, _239830), leq(_239830, _239073)]]], (462 ^ _223877) ^ [_240377, _240379] : [465 ^ _223877 : [(466 ^ _223877) ^ [] : [-(leq(n0, 463 ^ [_240377, _240379]))], (468 ^ _223877) ^ [] : [-(leq(463 ^ [_240377, _240379], _240377))], (470 ^ _223877) ^ [] : [-(leq(n0, 464 ^ [_240377, _240379]))], (472 ^ _223877) ^ [] : [-(leq(464 ^ [_240377, _240379], _240377))], (474 ^ _223877) ^ [] : [a_select3(_240379, 463 ^ [_240377, _240379], 464 ^ [_240377, _240379]) = a_select3(_240379, 464 ^ [_240377, _240379], 463 ^ [_240377, _240379])]], 475 ^ _223877 : [(476 ^ _223877) ^ [_241134, _241136] : [-(a_select3(inv(_240379), _241136, _241134) = a_select3(inv(_240379), _241134, _241136)), leq(n0, _241136), leq(_241136, _240377), leq(n0, _241134), leq(_241134, _240377)]]], (494 ^ _223877) ^ [_241681, _241683] : [497 ^ _223877 : [(498 ^ _223877) ^ [] : [-(leq(n0, 495 ^ [_241681, _241683]))], (500 ^ _223877) ^ [] : [-(leq(495 ^ [_241681, _241683], _241681))], (502 ^ _223877) ^ [] : [-(leq(n0, 496 ^ [_241681, _241683]))], (504 ^ _223877) ^ [] : [-(leq(496 ^ [_241681, _241683], _241681))], (506 ^ _223877) ^ [] : [a_select3(_241683, 495 ^ [_241681, _241683], 496 ^ [_241681, _241683]) = a_select3(_241683, 496 ^ [_241681, _241683], 495 ^ [_241681, _241683])]], 507 ^ _223877 : [(508 ^ _223877) ^ [_242494, _242496, _242498, _242500] : [-(a_select3(tptp_update3(_241683, _242496, _242496, _242494), _242500, _242498) = a_select3(tptp_update3(_241683, _242496, _242496, _242494), _242498, _242500)), leq(n0, _242500), leq(_242500, _241681), leq(n0, _242498), leq(_242498, _241681), leq(n0, _242496), leq(_242496, _241681)]]], (534 ^ _223877) ^ [_243313, _243315, _243317] : [539 ^ _223877 : [(540 ^ _223877) ^ [] : [-(leq(n0, 537 ^ [_243313, _243315, _243317]))], (542 ^ _223877) ^ [] : [-(leq(537 ^ [_243313, _243315, _243317], _243313))], (544 ^ _223877) ^ [] : [-(leq(n0, 538 ^ [_243313, _243315, _243317]))], (546 ^ _223877) ^ [] : [-(leq(538 ^ [_243313, _243315, _243317], _243313))], (548 ^ _223877) ^ [] : [a_select3(_243317, 537 ^ [_243313, _243315, _243317], 538 ^ [_243313, _243315, _243317]) = a_select3(_243317, 538 ^ [_243313, _243315, _243317], 537 ^ [_243313, _243315, _243317])]], 551 ^ _223877 : [(552 ^ _223877) ^ [] : [-(leq(n0, 549 ^ [_243313, _243315, _243317]))], (554 ^ _223877) ^ [] : [-(leq(549 ^ [_243313, _243315, _243317], _243313))], (556 ^ _223877) ^ [] : [-(leq(n0, 550 ^ [_243313, _243315, _243317]))], (558 ^ _223877) ^ [] : [-(leq(550 ^ [_243313, _243315, _243317], _243313))], (560 ^ _223877) ^ [] : [a_select3(_243315, 549 ^ [_243313, _243315, _243317], 550 ^ [_243313, _243315, _243317]) = a_select3(_243315, 550 ^ [_243313, _243315, _243317], 549 ^ [_243313, _243315, _243317])]], 561 ^ _223877 : [(562 ^ _223877) ^ [_244822, _244824] : [-(a_select3(tptp_madd(_243317, _243315), _244824, _244822) = a_select3(tptp_madd(_243317, _243315), _244822, _244824)), leq(n0, _244824), leq(_244824, _243313), leq(n0, _244822), leq(_244822, _243313)]]], (580 ^ _223877) ^ [_245408, _245410, _245412] : [585 ^ _223877 : [(586 ^ _223877) ^ [] : [-(leq(n0, 583 ^ [_245408, _245410, _245412]))], (588 ^ _223877) ^ [] : [-(leq(583 ^ [_245408, _245410, _245412], _245408))], (590 ^ _223877) ^ [] : [-(leq(n0, 584 ^ [_245408, _245410, _245412]))], (592 ^ _223877) ^ [] : [-(leq(584 ^ [_245408, _245410, _245412], _245408))], (594 ^ _223877) ^ [] : [a_select3(_245412, 583 ^ [_245408, _245410, _245412], 584 ^ [_245408, _245410, _245412]) = a_select3(_245412, 584 ^ [_245408, _245410, _245412], 583 ^ [_245408, _245410, _245412])]], 597 ^ _223877 : [(598 ^ _223877) ^ [] : [-(leq(n0, 595 ^ [_245408, _245410, _245412]))], (600 ^ _223877) ^ [] : [-(leq(595 ^ [_245408, _245410, _245412], _245408))], (602 ^ _223877) ^ [] : [-(leq(n0, 596 ^ [_245408, _245410, _245412]))], (604 ^ _223877) ^ [] : [-(leq(596 ^ [_245408, _245410, _245412], _245408))], (606 ^ _223877) ^ [] : [a_select3(_245410, 595 ^ [_245408, _245410, _245412], 596 ^ [_245408, _245410, _245412]) = a_select3(_245410, 596 ^ [_245408, _245410, _245412], 595 ^ [_245408, _245410, _245412])]], 607 ^ _223877 : [(608 ^ _223877) ^ [_246917, _246919] : [-(a_select3(tptp_msub(_245412, _245410), _246919, _246917) = a_select3(tptp_msub(_245412, _245410), _246917, _246919)), leq(n0, _246919), leq(_246919, _245408), leq(n0, _246917), leq(_246917, _245408)]]], (626 ^ _223877) ^ [_247503, _247505, _247507] : [629 ^ _223877 : [(630 ^ _223877) ^ [] : [-(leq(n0, 627 ^ [_247503, _247505, _247507]))], (632 ^ _223877) ^ [] : [-(leq(627 ^ [_247503, _247505, _247507], _247503))], (634 ^ _223877) ^ [] : [-(leq(n0, 628 ^ [_247503, _247505, _247507]))], (636 ^ _223877) ^ [] : [-(leq(628 ^ [_247503, _247505, _247507], _247503))], (638 ^ _223877) ^ [] : [a_select3(_247505, 627 ^ [_247503, _247505, _247507], 628 ^ [_247503, _247505, _247507]) = a_select3(_247505, 628 ^ [_247503, _247505, _247507], 627 ^ [_247503, _247505, _247507])]], 639 ^ _223877 : [(640 ^ _223877) ^ [_248316, _248318] : [-(a_select3(tptp_mmul(_247507, tptp_mmul(_247505, trans(_247507))), _248318, _248316) = a_select3(tptp_mmul(_247507, tptp_mmul(_247505, trans(_247507))), _248316, _248318)), leq(n0, _248318), leq(_248318, _247503), leq(n0, _248316), leq(_248316, _247503)]]], (658 ^ _223877) ^ [_248935, _248937, _248939, _248941] : [661 ^ _223877 : [(662 ^ _223877) ^ [] : [-(leq(n0, 659 ^ [_248935, _248937, _248939, _248941]))], (664 ^ _223877) ^ [] : [-(leq(659 ^ [_248935, _248937, _248939, _248941], _248935))], (666 ^ _223877) ^ [] : [-(leq(n0, 660 ^ [_248935, _248937, _248939, _248941]))], (668 ^ _223877) ^ [] : [-(leq(660 ^ [_248935, _248937, _248939, _248941], _248935))], (670 ^ _223877) ^ [] : [a_select3(_248939, 659 ^ [_248935, _248937, _248939, _248941], 660 ^ [_248935, _248937, _248939, _248941]) = a_select3(_248939, 660 ^ [_248935, _248937, _248939, _248941], 659 ^ [_248935, _248937, _248939, _248941])]], 671 ^ _223877 : [(672 ^ _223877) ^ [_249792, _249794] : [-(a_select3(tptp_mmul(_248941, tptp_mmul(_248939, trans(_248941))), _249794, _249792) = a_select3(tptp_mmul(_248941, tptp_mmul(_248939, trans(_248941))), _249792, _249794)), leq(n0, _249794), leq(_249794, _248937), leq(n0, _249792), leq(_249792, _248937)]]], (690 ^ _223877) ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501] : [695 ^ _223877 : [(696 ^ _223877) ^ [] : [-(leq(n0, 693 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (698 ^ _223877) ^ [] : [-(leq(693 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250487))], (700 ^ _223877) ^ [] : [-(leq(n0, 694 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (702 ^ _223877) ^ [] : [-(leq(694 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250487))], (704 ^ _223877) ^ [] : [a_select3(_250495, 693 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 694 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]) = a_select3(_250495, 694 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 693 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501])]], 709 ^ _223877 : [(710 ^ _223877) ^ [] : [-(leq(n0, 707 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (712 ^ _223877) ^ [] : [-(leq(707 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250489))], (714 ^ _223877) ^ [] : [-(leq(n0, 708 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (716 ^ _223877) ^ [] : [-(leq(708 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250489))], (718 ^ _223877) ^ [] : [a_select3(_250501, 707 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 708 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]) = a_select3(_250501, 708 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 707 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501])]], 721 ^ _223877 : [(722 ^ _223877) ^ [] : [-(leq(n0, 719 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (724 ^ _223877) ^ [] : [-(leq(719 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250489))], (726 ^ _223877) ^ [] : [-(leq(n0, 720 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]))], (728 ^ _223877) ^ [] : [-(leq(720 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], _250489))], (730 ^ _223877) ^ [] : [a_select3(_250491, 719 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 720 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501]) = a_select3(_250491, 720 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501], 719 ^ [_250487, _250489, _250491, _250493, _250495, _250497, _250499, _250501])]], 731 ^ _223877 : [(732 ^ _223877) ^ [_253415, _253417] : [-(a_select3(tptp_madd(_250501, tptp_mmul(_250499, tptp_mmul(tptp_madd(tptp_mmul(_250497, tptp_mmul(_250495, trans(_250497))), tptp_mmul(_250493, tptp_mmul(_250491, trans(_250493)))), trans(_250499)))), _253417, _253415) = a_select3(tptp_madd(_250501, tptp_mmul(_250499, tptp_mmul(tptp_madd(tptp_mmul(_250497, tptp_mmul(_250495, trans(_250497))), tptp_mmul(_250493, tptp_mmul(_250491, trans(_250493)))), trans(_250499)))), _253415, _253417)), leq(n0, _253417), leq(_253417, _250489), leq(n0, _253415), leq(_253415, _250489)]]], (750 ^ _223877) ^ [_254168] : [-(sum(n0, tptp_minus_1, _254168) = n0)], (752 ^ _223877) ^ [_254250] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _254250))], (754 ^ _223877) ^ [] : [-(succ(tptp_minus_1) = n0)], (756 ^ _223877) ^ [_254385] : [-(plus(_254385, n1) = succ(_254385))], (758 ^ _223877) ^ [_254468] : [-(plus(n1, _254468) = succ(_254468))], (760 ^ _223877) ^ [_254551] : [-(plus(_254551, n2) = succ(succ(_254551)))], (762 ^ _223877) ^ [_254636] : [-(plus(n2, _254636) = succ(succ(_254636)))], (764 ^ _223877) ^ [_254721] : [-(plus(_254721, n3) = succ(succ(succ(_254721))))], (766 ^ _223877) ^ [_254808] : [-(plus(n3, _254808) = succ(succ(succ(_254808))))], (768 ^ _223877) ^ [_254895] : [-(plus(_254895, n4) = succ(succ(succ(succ(_254895)))))], (770 ^ _223877) ^ [_254984] : [-(plus(n4, _254984) = succ(succ(succ(succ(_254984)))))], (772 ^ _223877) ^ [_255073] : [-(plus(_255073, n5) = succ(succ(succ(succ(succ(_255073))))))], (774 ^ _223877) ^ [_255164] : [-(plus(n5, _255164) = succ(succ(succ(succ(succ(_255164))))))], (776 ^ _223877) ^ [_255255] : [-(minus(_255255, n1) = pred(_255255))], (778 ^ _223877) ^ [_255338] : [-(pred(succ(_255338)) = _255338)], (780 ^ _223877) ^ [_255420] : [-(succ(pred(_255420)) = _255420)], (782 ^ _223877) ^ [_255560, _255562] : [leq(succ(_255562), succ(_255560)), -(leq(_255562, _255560))], (788 ^ _223877) ^ [_255730, _255732] : [leq(_255732, _255730), -(leq(succ(_255732), succ(_255730)))], (794 ^ _223877) ^ [_255950, _255952] : [leq(succ(_255952), _255950), -(gt(_255950, _255952))], (800 ^ _223877) ^ [_256164, _256166] : [leq(minus(_256166, _256164), _256166), -(leq(n0, _256164))], (806 ^ _223877) ^ [_256393, _256395, _256397, _256399] : [-(a_select3(tptp_update3(_256399, _256397, _256395, _256393), _256397, _256395) = _256393)], (808 ^ _223877) ^ [_256585, _256587, _256589, _256591, _256593, _256595, _256597] : [-(a_select3(tptp_update3(_256589, _256597, _256595, _256585), _256593, _256591) = _256587), -(_256597 = _256593), _256595 = _256591, a_select3(_256589, _256593, _256591) = _256587], (822 ^ _223877) ^ [_257128, _257130, _257132, _257134, _257136, _257138] : [-(a_select3(tptp_update3(_257130, _257134, _257132, _257128), _257138, _257136) = _257128), 827 ^ _223877 : [(828 ^ _223877) ^ [] : [-(leq(n0, 825 ^ [_257128, _257130, _257132, _257134, _257136, _257138]))], (830 ^ _223877) ^ [] : [-(leq(n0, 826 ^ [_257128, _257130, _257132, _257134, _257136, _257138]))], (832 ^ _223877) ^ [] : [-(leq(825 ^ [_257128, _257130, _257132, _257134, _257136, _257138], _257134))], (834 ^ _223877) ^ [] : [-(leq(826 ^ [_257128, _257130, _257132, _257134, _257136, _257138], _257132))], (836 ^ _223877) ^ [] : [a_select3(_257130, 825 ^ [_257128, _257130, _257132, _257134, _257136, _257138], 826 ^ [_257128, _257130, _257132, _257134, _257136, _257138]) = _257128]], leq(n0, _257138), leq(_257138, _257134), leq(n0, _257136), leq(_257136, _257132)], (854 ^ _223877) ^ [_258470, _258472, _258474] : [-(a_select2(tptp_update2(_258474, _258472, _258470), _258472) = _258470)], (856 ^ _223877) ^ [_258630, _258632, _258634, _258636, _258638] : [-(a_select2(tptp_update2(_258634, _258638, _258630), _258636) = _258632), -(_258638 = _258636), a_select2(_258634, _258636) = _258632], (885 ^ _223877) ^ [] : [-(true)], (887 ^ _223877) ^ [] : [def = use], (866 ^ _223877) ^ [_259010, _259012, _259014, _259016] : [-(a_select2(tptp_update2(_259012, _259014, _259010), _259016) = _259010), 870 ^ _223877 : [(871 ^ _223877) ^ [] : [-(leq(n0, 869 ^ [_259010, _259012, _259014, _259016]))], (873 ^ _223877) ^ [] : [-(leq(869 ^ [_259010, _259012, _259014, _259016], _259014))], (875 ^ _223877) ^ [] : [a_select2(_259012, 869 ^ [_259010, _259012, _259014, _259016]) = _259010]], leq(n0, _259016), leq(_259016, _259014)]], input).
% 0.24/1.32  ncf('1',plain,[n1 = 1074 ^ [], n5 = 1075 ^ []],start(1145 ^ 0)).
% 0.24/1.32  ncf('1.1',plain,[-(n1 = 1074 ^ [])],extension(1271 ^ 1)).
% 0.24/1.32  ncf('1.2',plain,[-(n5 = 1075 ^ [])],extension(1277 ^ 1)).
% 0.24/1.32  %-----------------------------------------------------
% 0.24/1.32  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------