%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV224+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 12:20:12 EDT 2023

% Result   : Theorem 0.37s 1.42s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV224+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.36  % Computer : n021.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 02:48:27 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.37/1.42  
% 0.37/1.42  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.42  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.42  ncf(matrix, plain, [(1041 ^ _223905) ^ [_263836, _263838] : [-(a_select3(q_ds1_filter, _263838, _263836) = a_select3(q_ds1_filter, _263836, _263838)), leq(n0, _263838), leq(n0, _263836), leq(_263838, n5), leq(_263836, n5)], (1059 ^ _223905) ^ [_264309, _264311] : [-(a_select3(r_ds1_filter, _264311, _264309) = a_select3(r_ds1_filter, _264309, _264311)), leq(n0, _264311), leq(n0, _264309), leq(_264311, n2), leq(_264309, n2)], (1079 ^ _223905) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _223905) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _223905) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _223905) ^ [] : [-(leq(1077 ^ [], n5))], (1287 ^ _223905) ^ [] : [a_select2(xinit_noise, n3) = n0], (1087 ^ _223905) ^ [] : [n0 = 1076 ^ [], n1 = 1077 ^ []], (1093 ^ _223905) ^ [] : [n0 = 1076 ^ [], n2 = 1077 ^ []], (1099 ^ _223905) ^ [] : [n0 = 1076 ^ [], n3 = 1077 ^ []], (1105 ^ _223905) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1111 ^ _223905) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1117 ^ _223905) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1123 ^ _223905) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1129 ^ _223905) ^ [] : [n1 = 1076 ^ [], n1 = 1077 ^ []], (1135 ^ _223905) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1141 ^ _223905) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1147 ^ _223905) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1153 ^ _223905) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1159 ^ _223905) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1165 ^ _223905) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1171 ^ _223905) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1177 ^ _223905) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1183 ^ _223905) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1189 ^ _223905) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1195 ^ _223905) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1201 ^ _223905) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1207 ^ _223905) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1213 ^ _223905) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1219 ^ _223905) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1225 ^ _223905) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1231 ^ _223905) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1237 ^ _223905) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1243 ^ _223905) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1249 ^ _223905) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1255 ^ _223905) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1261 ^ _223905) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1267 ^ _223905) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1279 ^ _223905) ^ [] : [-(n0 = 1077 ^ [])], (1281 ^ _223905) ^ [] : [-(n3 = 1076 ^ [])], (1283 ^ _223905) ^ [] : [-(n3 = 1077 ^ [])], (1285 ^ _223905) ^ [] : [-(n4 = 1076 ^ [])], (1273 ^ _223905) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _223905) ^ [_224049] : [-(_224049 = _224049)], (4 ^ _223905) ^ [_224156, _224158] : [_224158 = _224156, -(_224156 = _224158)], (10 ^ _223905) ^ [_224360, _224362, _224364] : [-(_224364 = _224360), _224364 = _224362, _224362 = _224360], (20 ^ _223905) ^ [_224701, _224703, _224705, _224707] : [-(lt(_224705, _224701)), lt(_224707, _224703), _224707 = _224705, _224703 = _224701], (34 ^ _223905) ^ [_225145, _225147, _225149, _225151] : [-(geq(_225149, _225145)), geq(_225151, _225147), _225151 = _225149, _225147 = _225145], (48 ^ _223905) ^ [_225589, _225591, _225593, _225595] : [-(gt(_225593, _225589)), gt(_225595, _225591), _225595 = _225593, _225591 = _225589], (62 ^ _223905) ^ [_226013, _226015, _226017, _226019] : [-(leq(_226017, _226013)), leq(_226019, _226015), _226019 = _226017, _226015 = _226013], (76 ^ _223905) ^ [_226469, _226471, _226473, _226475] : [-(uniform_int_rnd(_226475, _226471) = uniform_int_rnd(_226473, _226469)), _226475 = _226473, _226471 = _226469], (86 ^ _223905) ^ [_226828, _226830, _226832, _226834] : [-(tptp_const_array1(_226834, _226830) = tptp_const_array1(_226832, _226828)), _226834 = _226832, _226830 = _226828], (96 ^ _223905) ^ [_227215, _227217, _227219, _227221, _227223, _227225] : [-(tptp_const_array2(_227225, _227221, _227217) = tptp_const_array2(_227223, _227219, _227215)), _227225 = _227223, _227221 = _227219, _227217 = _227215], (110 ^ _223905) ^ [_227703, _227705, _227707, _227709] : [-(dim(_227709, _227705) = dim(_227707, _227703)), _227709 = _227707, _227705 = _227703], (120 ^ _223905) ^ [_228034, _228036] : [_228036 = _228034, -(inv(_228036) = inv(_228034))], (126 ^ _223905) ^ [_228280, _228282, _228284, _228286] : [-(tptp_msub(_228286, _228282) = tptp_msub(_228284, _228280)), _228286 = _228284, _228282 = _228280], (136 ^ _223905) ^ [_228639, _228641, _228643, _228645] : [-(tptp_madd(_228645, _228641) = tptp_madd(_228643, _228639)), _228645 = _228643, _228641 = _228639], (146 ^ _223905) ^ [_228998, _229000, _229002, _229004] : [-(tptp_mmul(_229004, _229000) = tptp_mmul(_229002, _228998)), _229004 = _229002, _229000 = _228998], (156 ^ _223905) ^ [_229329, _229331] : [_229331 = _229329, -(trans(_229331) = trans(_229329))], (162 ^ _223905) ^ [_229603, _229605, _229607, _229609, _229611, _229613] : [-(sum(_229613, _229609, _229605) = sum(_229611, _229607, _229603)), _229613 = _229611, _229609 = _229607, _229605 = _229603], (176 ^ _223905) ^ [_230091, _230093, _230095, _230097] : [-(plus(_230097, _230093) = plus(_230095, _230091)), _230097 = _230095, _230093 = _230091], (186 ^ _223905) ^ [_230422, _230424] : [_230424 = _230422, -(pred(_230424) = pred(_230422))], (192 ^ _223905) ^ [_230668, _230670, _230672, _230674] : [-(minus(_230674, _230670) = minus(_230672, _230668)), _230674 = _230672, _230670 = _230668], (202 ^ _223905) ^ [_231083, _231085, _231087, _231089, _231091, _231093, _231095, _231097] : [-(tptp_update3(_231097, _231093, _231089, _231085) = tptp_update3(_231095, _231091, _231087, _231083)), _231097 = _231095, _231093 = _231091, _231089 = _231087, _231085 = _231083], (220 ^ _223905) ^ [_231744, _231746, _231748, _231750, _231752, _231754] : [-(tptp_update2(_231754, _231750, _231746) = tptp_update2(_231752, _231748, _231744)), _231754 = _231752, _231750 = _231748, _231746 = _231744], (234 ^ _223905) ^ [_232204, _232206] : [_232206 = _232204, -(succ(_232206) = succ(_232204))], (254 ^ _223905) ^ [_232946, _232948, _232950, _232952] : [-(a_select2(_232952, _232948) = a_select2(_232950, _232946)), _232952 = _232950, _232948 = _232946], (240 ^ _223905) ^ [_232478, _232480, _232482, _232484, _232486, _232488] : [-(a_select3(_232488, _232484, _232480) = a_select3(_232486, _232482, _232478)), _232488 = _232486, _232484 = _232482, _232480 = _232478], (869 ^ _223905) ^ [] : [-(gt(n5, n4))], (871 ^ _223905) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _223905) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _223905) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _223905) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _223905) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _223905) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _223905) ^ [] : [-(gt(n4, n0))], (885 ^ _223905) ^ [] : [-(gt(n5, n0))], (887 ^ _223905) ^ [] : [-(gt(n1, n0))], (889 ^ _223905) ^ [] : [-(gt(n2, n0))], (891 ^ _223905) ^ [] : [-(gt(n3, n0))], (893 ^ _223905) ^ [] : [-(gt(n4, n1))], (895 ^ _223905) ^ [] : [-(gt(n5, n1))], (897 ^ _223905) ^ [] : [-(gt(n2, n1))], (899 ^ _223905) ^ [] : [-(gt(n3, n1))], (901 ^ _223905) ^ [] : [-(gt(n4, n2))], (903 ^ _223905) ^ [] : [-(gt(n5, n2))], (905 ^ _223905) ^ [] : [-(gt(n3, n2))], (907 ^ _223905) ^ [] : [-(gt(n4, n3))], (909 ^ _223905) ^ [] : [-(gt(n5, n3))], (911 ^ _223905) ^ [_260415] : [leq(n0, _260415), leq(_260415, n4), -(_260415 = n0), -(_260415 = n1), -(_260415 = n2), -(_260415 = n3), -(_260415 = n4)], (937 ^ _223905) ^ [_261036] : [leq(n0, _261036), leq(_261036, n5), -(_261036 = n0), -(_261036 = n1), -(_261036 = n2), -(_261036 = n3), -(_261036 = n4), -(_261036 = n5)], (967 ^ _223905) ^ [_261743] : [-(_261743 = n0), leq(n0, _261743), leq(_261743, n0)], (977 ^ _223905) ^ [_262018] : [leq(n0, _262018), leq(_262018, n1), -(_262018 = n0), -(_262018 = n1)], (991 ^ _223905) ^ [_262381] : [leq(n0, _262381), leq(_262381, n2), -(_262381 = n0), -(_262381 = n1), -(_262381 = n2)], (1031 ^ _223905) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _223905) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _223905) ^ [] : [-(succ(n0) = n1)], (1037 ^ _223905) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _223905) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _223905) ^ [_262830] : [leq(n0, _262830), leq(_262830, n3), -(_262830 = n0), -(_262830 = n1), -(_262830 = n2), -(_262830 = n3)], (264 ^ _223905) ^ [_233377, _233379] : [-(gt(_233379, _233377)), -(gt(_233377, _233379)), -(_233379 = _233377)], (274 ^ _223905) ^ [_233692, _233694, _233696] : [-(gt(_233696, _233692)), gt(_233696, _233694), gt(_233694, _233692)], (284 ^ _223905) ^ [_233971] : [gt(_233971, _233971)], (286 ^ _223905) ^ [_234049] : [-(leq(_234049, _234049))], (288 ^ _223905) ^ [_234170, _234172, _234174] : [-(leq(_234174, _234170)), leq(_234174, _234172), leq(_234172, _234170)], (298 ^ _223905) ^ [_234508, _234510] : [lt(_234510, _234508), -(gt(_234508, _234510))], (304 ^ _223905) ^ [_234670, _234672] : [gt(_234670, _234672), -(lt(_234672, _234670))], (310 ^ _223905) ^ [_234911, _234913] : [geq(_234913, _234911), -(leq(_234911, _234913))], (316 ^ _223905) ^ [_235073, _235075] : [leq(_235073, _235075), -(geq(_235075, _235073))], (322 ^ _223905) ^ [_235285, _235287] : [gt(_235285, _235287), -(leq(_235287, _235285))], (328 ^ _223905) ^ [_235495, _235497] : [-(gt(_235495, _235497)), leq(_235497, _235495), -(_235497 = _235495)], (338 ^ _223905) ^ [_235826, _235828] : [leq(_235828, pred(_235826)), -(gt(_235826, _235828))], (344 ^ _223905) ^ [_235992, _235994] : [gt(_235992, _235994), -(leq(_235994, pred(_235992)))], (350 ^ _223905) ^ [_236179] : [-(gt(succ(_236179), _236179))], (352 ^ _223905) ^ [_236288, _236290] : [leq(_236290, _236288), -(leq(_236290, succ(_236288)))], (358 ^ _223905) ^ [_236531, _236533] : [leq(_236533, _236531), -(gt(succ(_236531), _236533))], (364 ^ _223905) ^ [_236697, _236699] : [gt(succ(_236697), _236699), -(leq(_236699, _236697))], (370 ^ _223905) ^ [_236913, _236915] : [leq(n0, _236915), -(leq(uniform_int_rnd(_236913, _236915), _236915))], (376 ^ _223905) ^ [_237129, _237131] : [leq(n0, _237131), -(leq(n0, uniform_int_rnd(_237129, _237131)))], (382 ^ _223905) ^ [_237373, _237375, _237377, _237379] : [-(a_select2(tptp_const_array1(dim(_237377, _237375), _237373), _237379) = _237373), leq(_237377, _237379), leq(_237379, _237375)], (392 ^ _223905) ^ [_237780, _237782, _237784, _237786, _237788, _237790, _237792] : [-(a_select3(tptp_const_array2(dim(_237790, _237788), dim(_237784, _237782), _237780), _237792, _237786) = _237780), leq(_237790, _237792), leq(_237792, _237788), leq(_237784, _237786), leq(_237786, _237782)], (410 ^ _223905) ^ [_238375, _238377] : [413 ^ _223905 : [(414 ^ _223905) ^ [] : [-(leq(n0, 411 ^ [_238375, _238377]))], (416 ^ _223905) ^ [] : [-(leq(411 ^ [_238375, _238377], _238375))], (418 ^ _223905) ^ [] : [-(leq(n0, 412 ^ [_238375, _238377]))], (420 ^ _223905) ^ [] : [-(leq(412 ^ [_238375, _238377], _238375))], (422 ^ _223905) ^ [] : [a_select3(_238377, 411 ^ [_238375, _238377], 412 ^ [_238375, _238377]) = a_select3(_238377, 412 ^ [_238375, _238377], 411 ^ [_238375, _238377])]], 423 ^ _223905 : [(424 ^ _223905) ^ [_239132, _239134] : [-(a_select3(trans(_238377), _239134, _239132) = a_select3(trans(_238377), _239132, _239134)), leq(n0, _239134), leq(_239134, _238375), leq(n0, _239132), leq(_239132, _238375)]]], (442 ^ _223905) ^ [_239679, _239681] : [445 ^ _223905 : [(446 ^ _223905) ^ [] : [-(leq(n0, 443 ^ [_239679, _239681]))], (448 ^ _223905) ^ [] : [-(leq(443 ^ [_239679, _239681], _239679))], (450 ^ _223905) ^ [] : [-(leq(n0, 444 ^ [_239679, _239681]))], (452 ^ _223905) ^ [] : [-(leq(444 ^ [_239679, _239681], _239679))], (454 ^ _223905) ^ [] : [a_select3(_239681, 443 ^ [_239679, _239681], 444 ^ [_239679, _239681]) = a_select3(_239681, 444 ^ [_239679, _239681], 443 ^ [_239679, _239681])]], 455 ^ _223905 : [(456 ^ _223905) ^ [_240436, _240438] : [-(a_select3(inv(_239681), _240438, _240436) = a_select3(inv(_239681), _240436, _240438)), leq(n0, _240438), leq(_240438, _239679), leq(n0, _240436), leq(_240436, _239679)]]], (474 ^ _223905) ^ [_240983, _240985] : [477 ^ _223905 : [(478 ^ _223905) ^ [] : [-(leq(n0, 475 ^ [_240983, _240985]))], (480 ^ _223905) ^ [] : [-(leq(475 ^ [_240983, _240985], _240983))], (482 ^ _223905) ^ [] : [-(leq(n0, 476 ^ [_240983, _240985]))], (484 ^ _223905) ^ [] : [-(leq(476 ^ [_240983, _240985], _240983))], (486 ^ _223905) ^ [] : [a_select3(_240985, 475 ^ [_240983, _240985], 476 ^ [_240983, _240985]) = a_select3(_240985, 476 ^ [_240983, _240985], 475 ^ [_240983, _240985])]], 487 ^ _223905 : [(488 ^ _223905) ^ [_241796, _241798, _241800, _241802] : [-(a_select3(tptp_update3(_240985, _241798, _241798, _241796), _241802, _241800) = a_select3(tptp_update3(_240985, _241798, _241798, _241796), _241800, _241802)), leq(n0, _241802), leq(_241802, _240983), leq(n0, _241800), leq(_241800, _240983), leq(n0, _241798), leq(_241798, _240983)]]], (514 ^ _223905) ^ [_242615, _242617, _242619] : [519 ^ _223905 : [(520 ^ _223905) ^ [] : [-(leq(n0, 517 ^ [_242615, _242617, _242619]))], (522 ^ _223905) ^ [] : [-(leq(517 ^ [_242615, _242617, _242619], _242615))], (524 ^ _223905) ^ [] : [-(leq(n0, 518 ^ [_242615, _242617, _242619]))], (526 ^ _223905) ^ [] : [-(leq(518 ^ [_242615, _242617, _242619], _242615))], (528 ^ _223905) ^ [] : [a_select3(_242619, 517 ^ [_242615, _242617, _242619], 518 ^ [_242615, _242617, _242619]) = a_select3(_242619, 518 ^ [_242615, _242617, _242619], 517 ^ [_242615, _242617, _242619])]], 531 ^ _223905 : [(532 ^ _223905) ^ [] : [-(leq(n0, 529 ^ [_242615, _242617, _242619]))], (534 ^ _223905) ^ [] : [-(leq(529 ^ [_242615, _242617, _242619], _242615))], (536 ^ _223905) ^ [] : [-(leq(n0, 530 ^ [_242615, _242617, _242619]))], (538 ^ _223905) ^ [] : [-(leq(530 ^ [_242615, _242617, _242619], _242615))], (540 ^ _223905) ^ [] : [a_select3(_242617, 529 ^ [_242615, _242617, _242619], 530 ^ [_242615, _242617, _242619]) = a_select3(_242617, 530 ^ [_242615, _242617, _242619], 529 ^ [_242615, _242617, _242619])]], 541 ^ _223905 : [(542 ^ _223905) ^ [_244124, _244126] : [-(a_select3(tptp_madd(_242619, _242617), _244126, _244124) = a_select3(tptp_madd(_242619, _242617), _244124, _244126)), leq(n0, _244126), leq(_244126, _242615), leq(n0, _244124), leq(_244124, _242615)]]], (560 ^ _223905) ^ [_244710, _244712, _244714] : [565 ^ _223905 : [(566 ^ _223905) ^ [] : [-(leq(n0, 563 ^ [_244710, _244712, _244714]))], (568 ^ _223905) ^ [] : [-(leq(563 ^ [_244710, _244712, _244714], _244710))], (570 ^ _223905) ^ [] : [-(leq(n0, 564 ^ [_244710, _244712, _244714]))], (572 ^ _223905) ^ [] : [-(leq(564 ^ [_244710, _244712, _244714], _244710))], (574 ^ _223905) ^ [] : [a_select3(_244714, 563 ^ [_244710, _244712, _244714], 564 ^ [_244710, _244712, _244714]) = a_select3(_244714, 564 ^ [_244710, _244712, _244714], 563 ^ [_244710, _244712, _244714])]], 577 ^ _223905 : [(578 ^ _223905) ^ [] : [-(leq(n0, 575 ^ [_244710, _244712, _244714]))], (580 ^ _223905) ^ [] : [-(leq(575 ^ [_244710, _244712, _244714], _244710))], (582 ^ _223905) ^ [] : [-(leq(n0, 576 ^ [_244710, _244712, _244714]))], (584 ^ _223905) ^ [] : [-(leq(576 ^ [_244710, _244712, _244714], _244710))], (586 ^ _223905) ^ [] : [a_select3(_244712, 575 ^ [_244710, _244712, _244714], 576 ^ [_244710, _244712, _244714]) = a_select3(_244712, 576 ^ [_244710, _244712, _244714], 575 ^ [_244710, _244712, _244714])]], 587 ^ _223905 : [(588 ^ _223905) ^ [_246219, _246221] : [-(a_select3(tptp_msub(_244714, _244712), _246221, _246219) = a_select3(tptp_msub(_244714, _244712), _246219, _246221)), leq(n0, _246221), leq(_246221, _244710), leq(n0, _246219), leq(_246219, _244710)]]], (606 ^ _223905) ^ [_246805, _246807, _246809] : [609 ^ _223905 : [(610 ^ _223905) ^ [] : [-(leq(n0, 607 ^ [_246805, _246807, _246809]))], (612 ^ _223905) ^ [] : [-(leq(607 ^ [_246805, _246807, _246809], _246805))], (614 ^ _223905) ^ [] : [-(leq(n0, 608 ^ [_246805, _246807, _246809]))], (616 ^ _223905) ^ [] : [-(leq(608 ^ [_246805, _246807, _246809], _246805))], (618 ^ _223905) ^ [] : [a_select3(_246807, 607 ^ [_246805, _246807, _246809], 608 ^ [_246805, _246807, _246809]) = a_select3(_246807, 608 ^ [_246805, _246807, _246809], 607 ^ [_246805, _246807, _246809])]], 619 ^ _223905 : [(620 ^ _223905) ^ [_247618, _247620] : [-(a_select3(tptp_mmul(_246809, tptp_mmul(_246807, trans(_246809))), _247620, _247618) = a_select3(tptp_mmul(_246809, tptp_mmul(_246807, trans(_246809))), _247618, _247620)), leq(n0, _247620), leq(_247620, _246805), leq(n0, _247618), leq(_247618, _246805)]]], (638 ^ _223905) ^ [_248237, _248239, _248241, _248243] : [641 ^ _223905 : [(642 ^ _223905) ^ [] : [-(leq(n0, 639 ^ [_248237, _248239, _248241, _248243]))], (644 ^ _223905) ^ [] : [-(leq(639 ^ [_248237, _248239, _248241, _248243], _248237))], (646 ^ _223905) ^ [] : [-(leq(n0, 640 ^ [_248237, _248239, _248241, _248243]))], (648 ^ _223905) ^ [] : [-(leq(640 ^ [_248237, _248239, _248241, _248243], _248237))], (650 ^ _223905) ^ [] : [a_select3(_248241, 639 ^ [_248237, _248239, _248241, _248243], 640 ^ [_248237, _248239, _248241, _248243]) = a_select3(_248241, 640 ^ [_248237, _248239, _248241, _248243], 639 ^ [_248237, _248239, _248241, _248243])]], 651 ^ _223905 : [(652 ^ _223905) ^ [_249094, _249096] : [-(a_select3(tptp_mmul(_248243, tptp_mmul(_248241, trans(_248243))), _249096, _249094) = a_select3(tptp_mmul(_248243, tptp_mmul(_248241, trans(_248243))), _249094, _249096)), leq(n0, _249096), leq(_249096, _248239), leq(n0, _249094), leq(_249094, _248239)]]], (670 ^ _223905) ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803] : [675 ^ _223905 : [(676 ^ _223905) ^ [] : [-(leq(n0, 673 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (678 ^ _223905) ^ [] : [-(leq(673 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249789))], (680 ^ _223905) ^ [] : [-(leq(n0, 674 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (682 ^ _223905) ^ [] : [-(leq(674 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249789))], (684 ^ _223905) ^ [] : [a_select3(_249797, 673 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 674 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]) = a_select3(_249797, 674 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 673 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803])]], 689 ^ _223905 : [(690 ^ _223905) ^ [] : [-(leq(n0, 687 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (692 ^ _223905) ^ [] : [-(leq(687 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249791))], (694 ^ _223905) ^ [] : [-(leq(n0, 688 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (696 ^ _223905) ^ [] : [-(leq(688 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249791))], (698 ^ _223905) ^ [] : [a_select3(_249803, 687 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 688 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]) = a_select3(_249803, 688 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 687 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803])]], 701 ^ _223905 : [(702 ^ _223905) ^ [] : [-(leq(n0, 699 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (704 ^ _223905) ^ [] : [-(leq(699 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249791))], (706 ^ _223905) ^ [] : [-(leq(n0, 700 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]))], (708 ^ _223905) ^ [] : [-(leq(700 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], _249791))], (710 ^ _223905) ^ [] : [a_select3(_249793, 699 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 700 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803]) = a_select3(_249793, 700 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803], 699 ^ [_249789, _249791, _249793, _249795, _249797, _249799, _249801, _249803])]], 711 ^ _223905 : [(712 ^ _223905) ^ [_252717, _252719] : [-(a_select3(tptp_madd(_249803, tptp_mmul(_249801, tptp_mmul(tptp_madd(tptp_mmul(_249799, tptp_mmul(_249797, trans(_249799))), tptp_mmul(_249795, tptp_mmul(_249793, trans(_249795)))), trans(_249801)))), _252719, _252717) = a_select3(tptp_madd(_249803, tptp_mmul(_249801, tptp_mmul(tptp_madd(tptp_mmul(_249799, tptp_mmul(_249797, trans(_249799))), tptp_mmul(_249795, tptp_mmul(_249793, trans(_249795)))), trans(_249801)))), _252717, _252719)), leq(n0, _252719), leq(_252719, _249791), leq(n0, _252717), leq(_252717, _249791)]]], (730 ^ _223905) ^ [_253470] : [-(sum(n0, tptp_minus_1, _253470) = n0)], (732 ^ _223905) ^ [_253552] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _253552))], (734 ^ _223905) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _223905) ^ [_253687] : [-(plus(_253687, n1) = succ(_253687))], (738 ^ _223905) ^ [_253770] : [-(plus(n1, _253770) = succ(_253770))], (740 ^ _223905) ^ [_253853] : [-(plus(_253853, n2) = succ(succ(_253853)))], (742 ^ _223905) ^ [_253938] : [-(plus(n2, _253938) = succ(succ(_253938)))], (744 ^ _223905) ^ [_254023] : [-(plus(_254023, n3) = succ(succ(succ(_254023))))], (746 ^ _223905) ^ [_254110] : [-(plus(n3, _254110) = succ(succ(succ(_254110))))], (748 ^ _223905) ^ [_254197] : [-(plus(_254197, n4) = succ(succ(succ(succ(_254197)))))], (750 ^ _223905) ^ [_254286] : [-(plus(n4, _254286) = succ(succ(succ(succ(_254286)))))], (752 ^ _223905) ^ [_254375] : [-(plus(_254375, n5) = succ(succ(succ(succ(succ(_254375))))))], (754 ^ _223905) ^ [_254466] : [-(plus(n5, _254466) = succ(succ(succ(succ(succ(_254466))))))], (756 ^ _223905) ^ [_254557] : [-(minus(_254557, n1) = pred(_254557))], (758 ^ _223905) ^ [_254640] : [-(pred(succ(_254640)) = _254640)], (760 ^ _223905) ^ [_254722] : [-(succ(pred(_254722)) = _254722)], (762 ^ _223905) ^ [_254862, _254864] : [leq(succ(_254864), succ(_254862)), -(leq(_254864, _254862))], (768 ^ _223905) ^ [_255032, _255034] : [leq(_255034, _255032), -(leq(succ(_255034), succ(_255032)))], (774 ^ _223905) ^ [_255252, _255254] : [leq(succ(_255254), _255252), -(gt(_255252, _255254))], (780 ^ _223905) ^ [_255466, _255468] : [leq(minus(_255468, _255466), _255468), -(leq(n0, _255466))], (786 ^ _223905) ^ [_255695, _255697, _255699, _255701] : [-(a_select3(tptp_update3(_255701, _255699, _255697, _255695), _255699, _255697) = _255695)], (788 ^ _223905) ^ [_255887, _255889, _255891, _255893, _255895, _255897, _255899] : [-(a_select3(tptp_update3(_255891, _255899, _255897, _255887), _255895, _255893) = _255889), -(_255899 = _255895), _255897 = _255893, a_select3(_255891, _255895, _255893) = _255889], (802 ^ _223905) ^ [_256430, _256432, _256434, _256436, _256438, _256440] : [-(a_select3(tptp_update3(_256432, _256436, _256434, _256430), _256440, _256438) = _256430), 807 ^ _223905 : [(808 ^ _223905) ^ [] : [-(leq(n0, 805 ^ [_256430, _256432, _256434, _256436, _256438, _256440]))], (810 ^ _223905) ^ [] : [-(leq(n0, 806 ^ [_256430, _256432, _256434, _256436, _256438, _256440]))], (812 ^ _223905) ^ [] : [-(leq(805 ^ [_256430, _256432, _256434, _256436, _256438, _256440], _256436))], (814 ^ _223905) ^ [] : [-(leq(806 ^ [_256430, _256432, _256434, _256436, _256438, _256440], _256434))], (816 ^ _223905) ^ [] : [a_select3(_256432, 805 ^ [_256430, _256432, _256434, _256436, _256438, _256440], 806 ^ [_256430, _256432, _256434, _256436, _256438, _256440]) = _256430]], leq(n0, _256440), leq(_256440, _256436), leq(n0, _256438), leq(_256438, _256434)], (834 ^ _223905) ^ [_257772, _257774, _257776] : [-(a_select2(tptp_update2(_257776, _257774, _257772), _257774) = _257772)], (836 ^ _223905) ^ [_257932, _257934, _257936, _257938, _257940] : [-(a_select2(tptp_update2(_257936, _257940, _257932), _257938) = _257934), -(_257940 = _257938), a_select2(_257936, _257938) = _257934], (865 ^ _223905) ^ [] : [-(true)], (867 ^ _223905) ^ [] : [def = use], (846 ^ _223905) ^ [_258312, _258314, _258316, _258318] : [-(a_select2(tptp_update2(_258314, _258316, _258312), _258318) = _258312), 850 ^ _223905 : [(851 ^ _223905) ^ [] : [-(leq(n0, 849 ^ [_258312, _258314, _258316, _258318]))], (853 ^ _223905) ^ [] : [-(leq(849 ^ [_258312, _258314, _258316, _258318], _258316))], (855 ^ _223905) ^ [] : [a_select2(_258314, 849 ^ [_258312, _258314, _258316, _258318]) = _258312]], leq(n0, _258318), leq(_258318, _258316)]], input).
% 0.37/1.42  ncf('1',plain,[n0 = 1077 ^ [], n4 = 1076 ^ []],start(1117 ^ 0)).
% 0.37/1.42  ncf('1.1',plain,[-(n0 = 1077 ^ [])],extension(1279 ^ 1)).
% 0.37/1.42  ncf('1.2',plain,[-(n4 = 1076 ^ [])],extension(1285 ^ 1)).
% 0.37/1.42  %-----------------------------------------------------
% 0.37/1.42  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------