%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV216+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWV216+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:23:59 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(1077 ^ _218303) ^ [] : [-(leq(n0, 1074 ^ []))], (1079 ^ _218303) ^ [] : [-(leq(n0, 1075 ^ []))], (1081 ^ _218303) ^ [] : [-(leq(1074 ^ [], n5))], (1083 ^ _218303) ^ [] : [-(leq(1075 ^ [], n5))], (1231 ^ _218303) ^ [] : [n0 = times(divide(n1, n400), a_select2(sigma, n2))], (1085 ^ _218303) ^ [] : [n0 = 1074 ^ [], n3 = 1075 ^ []], (1091 ^ _218303) ^ [] : [n0 = 1074 ^ [], n4 = 1075 ^ []], (1097 ^ _218303) ^ [] : [n0 = 1074 ^ [], n5 = 1075 ^ []], (1103 ^ _218303) ^ [] : [n0 = 1075 ^ [], n5 = 1074 ^ []], (1109 ^ _218303) ^ [] : [n1 = 1074 ^ [], n3 = 1075 ^ []], (1115 ^ _218303) ^ [] : [n1 = 1074 ^ [], n4 = 1075 ^ []], (1121 ^ _218303) ^ [] : [n1 = 1074 ^ [], n5 = 1075 ^ []], (1127 ^ _218303) ^ [] : [n1 = 1075 ^ [], n5 = 1074 ^ []], (1133 ^ _218303) ^ [] : [n2 = 1074 ^ [], n3 = 1075 ^ []], (1139 ^ _218303) ^ [] : [n2 = 1074 ^ [], n4 = 1075 ^ []], (1145 ^ _218303) ^ [] : [n2 = 1074 ^ [], n5 = 1075 ^ []], (1151 ^ _218303) ^ [] : [n2 = 1075 ^ [], n3 = 1074 ^ []], (1157 ^ _218303) ^ [] : [n2 = 1075 ^ [], n4 = 1074 ^ []], (1163 ^ _218303) ^ [] : [n2 = 1075 ^ [], n5 = 1074 ^ []], (1169 ^ _218303) ^ [] : [n3 = 1074 ^ [], n3 = 1075 ^ []], (1175 ^ _218303) ^ [] : [n3 = 1074 ^ [], n4 = 1075 ^ []], (1181 ^ _218303) ^ [] : [n3 = 1074 ^ [], n5 = 1075 ^ []], (1187 ^ _218303) ^ [] : [n3 = 1075 ^ [], n4 = 1074 ^ []], (1193 ^ _218303) ^ [] : [n3 = 1075 ^ [], n5 = 1074 ^ []], (1199 ^ _218303) ^ [] : [n4 = 1074 ^ [], n4 = 1075 ^ []], (1205 ^ _218303) ^ [] : [n4 = 1074 ^ [], n5 = 1075 ^ []], (1211 ^ _218303) ^ [] : [n4 = 1075 ^ [], n5 = 1074 ^ []], (1223 ^ _218303) ^ [] : [-(n1 = 1075 ^ [])], (1225 ^ _218303) ^ [] : [-(n2 = 1074 ^ [])], (1227 ^ _218303) ^ [] : [-(n2 = 1075 ^ [])], (1229 ^ _218303) ^ [] : [-(n4 = 1074 ^ [])], (1217 ^ _218303) ^ [] : [n5 = 1074 ^ [], n5 = 1075 ^ []], (2 ^ _218303) ^ [_218447] : [-(_218447 = _218447)], (4 ^ _218303) ^ [_218554, _218556] : [_218556 = _218554, -(_218554 = _218556)], (10 ^ _218303) ^ [_218758, _218760, _218762] : [-(_218762 = _218758), _218762 = _218760, _218760 = _218758], (20 ^ _218303) ^ [_219099, _219101, _219103, _219105] : [-(lt(_219103, _219099)), lt(_219105, _219101), _219105 = _219103, _219101 = _219099], (34 ^ _218303) ^ [_219543, _219545, _219547, _219549] : [-(geq(_219547, _219543)), geq(_219549, _219545), _219549 = _219547, _219545 = _219543], (48 ^ _218303) ^ [_219987, _219989, _219991, _219993] : [-(gt(_219991, _219987)), gt(_219993, _219989), _219993 = _219991, _219989 = _219987], (62 ^ _218303) ^ [_220411, _220413, _220415, _220417] : [-(leq(_220415, _220411)), leq(_220417, _220413), _220417 = _220415, _220413 = _220411], (76 ^ _218303) ^ [_220867, _220869, _220871, _220873] : [-(uniform_int_rnd(_220873, _220869) = uniform_int_rnd(_220871, _220867)), _220873 = _220871, _220869 = _220867], (86 ^ _218303) ^ [_221226, _221228, _221230, _221232] : [-(tptp_const_array1(_221232, _221228) = tptp_const_array1(_221230, _221226)), _221232 = _221230, _221228 = _221226], (96 ^ _218303) ^ [_221613, _221615, _221617, _221619, _221621, _221623] : [-(tptp_const_array2(_221623, _221619, _221615) = tptp_const_array2(_221621, _221617, _221613)), _221623 = _221621, _221619 = _221617, _221615 = _221613], (110 ^ _218303) ^ [_222101, _222103, _222105, _222107] : [-(dim(_222107, _222103) = dim(_222105, _222101)), _222107 = _222105, _222103 = _222101], (120 ^ _218303) ^ [_222432, _222434] : [_222434 = _222432, -(inv(_222434) = inv(_222432))], (126 ^ _218303) ^ [_222678, _222680, _222682, _222684] : [-(tptp_msub(_222684, _222680) = tptp_msub(_222682, _222678)), _222684 = _222682, _222680 = _222678], (136 ^ _218303) ^ [_223037, _223039, _223041, _223043] : [-(tptp_madd(_223043, _223039) = tptp_madd(_223041, _223037)), _223043 = _223041, _223039 = _223037], (146 ^ _218303) ^ [_223396, _223398, _223400, _223402] : [-(tptp_mmul(_223402, _223398) = tptp_mmul(_223400, _223396)), _223402 = _223400, _223398 = _223396], (156 ^ _218303) ^ [_223727, _223729] : [_223729 = _223727, -(trans(_223729) = trans(_223727))], (162 ^ _218303) ^ [_224001, _224003, _224005, _224007, _224009, _224011] : [-(sum(_224011, _224007, _224003) = sum(_224009, _224005, _224001)), _224011 = _224009, _224007 = _224005, _224003 = _224001], (176 ^ _218303) ^ [_224489, _224491, _224493, _224495] : [-(plus(_224495, _224491) = plus(_224493, _224489)), _224495 = _224493, _224491 = _224489], (186 ^ _218303) ^ [_224820, _224822] : [_224822 = _224820, -(pred(_224822) = pred(_224820))], (192 ^ _218303) ^ [_225066, _225068, _225070, _225072] : [-(minus(_225072, _225068) = minus(_225070, _225066)), _225072 = _225070, _225068 = _225066], (202 ^ _218303) ^ [_225453, _225455, _225457, _225459, _225461, _225463] : [-(a_select3(_225463, _225459, _225455) = a_select3(_225461, _225457, _225453)), _225463 = _225461, _225459 = _225457, _225455 = _225453], (216 ^ _218303) ^ [_225997, _225999, _226001, _226003, _226005, _226007, _226009, _226011] : [-(tptp_update3(_226011, _226007, _226003, _225999) = tptp_update3(_226009, _226005, _226001, _225997)), _226011 = _226009, _226007 = _226005, _226003 = _226001, _225999 = _225997], (234 ^ _218303) ^ [_226658, _226660, _226662, _226664, _226666, _226668] : [-(tptp_update2(_226668, _226664, _226660) = tptp_update2(_226666, _226662, _226658)), _226668 = _226666, _226664 = _226662, _226660 = _226658], (248 ^ _218303) ^ [_227118, _227120] : [_227120 = _227118, -(succ(_227120) = succ(_227118))], (254 ^ _218303) ^ [_227364, _227366, _227368, _227370] : [-(times(_227370, _227366) = times(_227368, _227364)), _227370 = _227368, _227366 = _227364], (264 ^ _218303) ^ [_227723, _227725, _227727, _227729] : [-(divide(_227729, _227725) = divide(_227727, _227723)), _227729 = _227727, _227725 = _227723], (274 ^ _218303) ^ [_228062, _228064, _228066, _228068] : [-(a_select2(_228068, _228064) = a_select2(_228066, _228062)), _228068 = _228066, _228064 = _228062], (889 ^ _218303) ^ [] : [-(gt(n5, n4))], (891 ^ _218303) ^ [] : [-(gt(n400, n4))], (893 ^ _218303) ^ [] : [-(gt(n400, n5))], (895 ^ _218303) ^ [] : [-(gt(n4, tptp_minus_1))], (897 ^ _218303) ^ [] : [-(gt(n5, tptp_minus_1))], (899 ^ _218303) ^ [] : [-(gt(n400, tptp_minus_1))], (901 ^ _218303) ^ [] : [-(gt(n0, tptp_minus_1))], (903 ^ _218303) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _218303) ^ [] : [-(gt(n2, tptp_minus_1))], (907 ^ _218303) ^ [] : [-(gt(n3, tptp_minus_1))], (909 ^ _218303) ^ [] : [-(gt(n4, n0))], (911 ^ _218303) ^ [] : [-(gt(n5, n0))], (913 ^ _218303) ^ [] : [-(gt(n400, n0))], (915 ^ _218303) ^ [] : [-(gt(n1, n0))], (917 ^ _218303) ^ [] : [-(gt(n2, n0))], (919 ^ _218303) ^ [] : [-(gt(n3, n0))], (921 ^ _218303) ^ [] : [-(gt(n4, n1))], (923 ^ _218303) ^ [] : [-(gt(n5, n1))], (925 ^ _218303) ^ [] : [-(gt(n400, n1))], (927 ^ _218303) ^ [] : [-(gt(n2, n1))], (929 ^ _218303) ^ [] : [-(gt(n3, n1))], (931 ^ _218303) ^ [] : [-(gt(n4, n2))], (933 ^ _218303) ^ [] : [-(gt(n5, n2))], (935 ^ _218303) ^ [] : [-(gt(n400, n2))], (937 ^ _218303) ^ [] : [-(gt(n3, n2))], (939 ^ _218303) ^ [] : [-(gt(n4, n3))], (941 ^ _218303) ^ [] : [-(gt(n5, n3))], (943 ^ _218303) ^ [] : [-(gt(n400, n3))], (945 ^ _218303) ^ [_255910] : [leq(n0, _255910), leq(_255910, n4), -(_255910 = n0), -(_255910 = n1), -(_255910 = n2), -(_255910 = n3), -(_255910 = n4)], (971 ^ _218303) ^ [_256531] : [leq(n0, _256531), leq(_256531, n5), -(_256531 = n0), -(_256531 = n1), -(_256531 = n2), -(_256531 = n3), -(_256531 = n4), -(_256531 = n5)], (1001 ^ _218303) ^ [_257238] : [-(_257238 = n0), leq(n0, _257238), leq(_257238, n0)], (1011 ^ _218303) ^ [_257513] : [leq(n0, _257513), leq(_257513, n1), -(_257513 = n0), -(_257513 = n1)], (1025 ^ _218303) ^ [_257876] : [leq(n0, _257876), leq(_257876, n2), -(_257876 = n0), -(_257876 = n1), -(_257876 = n2)], (1065 ^ _218303) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1067 ^ _218303) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1069 ^ _218303) ^ [] : [-(succ(n0) = n1)], (1071 ^ _218303) ^ [] : [-(succ(succ(n0)) = n2)], (1073 ^ _218303) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1043 ^ _218303) ^ [_258325] : [leq(n0, _258325), leq(_258325, n3), -(_258325 = n0), -(_258325 = n1), -(_258325 = n2), -(_258325 = n3)], (284 ^ _218303) ^ [_228501, _228503] : [-(gt(_228503, _228501)), -(gt(_228501, _228503)), -(_228503 = _228501)], (294 ^ _218303) ^ [_228816, _228818, _228820] : [-(gt(_228820, _228816)), gt(_228820, _228818), gt(_228818, _228816)], (304 ^ _218303) ^ [_229095] : [gt(_229095, _229095)], (306 ^ _218303) ^ [_229173] : [-(leq(_229173, _229173))], (308 ^ _218303) ^ [_229294, _229296, _229298] : [-(leq(_229298, _229294)), leq(_229298, _229296), leq(_229296, _229294)], (318 ^ _218303) ^ [_229632, _229634] : [lt(_229634, _229632), -(gt(_229632, _229634))], (324 ^ _218303) ^ [_229794, _229796] : [gt(_229794, _229796), -(lt(_229796, _229794))], (330 ^ _218303) ^ [_230035, _230037] : [geq(_230037, _230035), -(leq(_230035, _230037))], (336 ^ _218303) ^ [_230197, _230199] : [leq(_230197, _230199), -(geq(_230199, _230197))], (342 ^ _218303) ^ [_230409, _230411] : [gt(_230409, _230411), -(leq(_230411, _230409))], (348 ^ _218303) ^ [_230619, _230621] : [-(gt(_230619, _230621)), leq(_230621, _230619), -(_230621 = _230619)], (358 ^ _218303) ^ [_230950, _230952] : [leq(_230952, pred(_230950)), -(gt(_230950, _230952))], (364 ^ _218303) ^ [_231116, _231118] : [gt(_231116, _231118), -(leq(_231118, pred(_231116)))], (370 ^ _218303) ^ [_231303] : [-(gt(succ(_231303), _231303))], (372 ^ _218303) ^ [_231412, _231414] : [leq(_231414, _231412), -(leq(_231414, succ(_231412)))], (378 ^ _218303) ^ [_231655, _231657] : [leq(_231657, _231655), -(gt(succ(_231655), _231657))], (384 ^ _218303) ^ [_231821, _231823] : [gt(succ(_231821), _231823), -(leq(_231823, _231821))], (390 ^ _218303) ^ [_232037, _232039] : [leq(n0, _232039), -(leq(uniform_int_rnd(_232037, _232039), _232039))], (396 ^ _218303) ^ [_232253, _232255] : [leq(n0, _232255), -(leq(n0, uniform_int_rnd(_232253, _232255)))], (402 ^ _218303) ^ [_232497, _232499, _232501, _232503] : [-(a_select2(tptp_const_array1(dim(_232501, _232499), _232497), _232503) = _232497), leq(_232501, _232503), leq(_232503, _232499)], (412 ^ _218303) ^ [_232904, _232906, _232908, _232910, _232912, _232914, _232916] : [-(a_select3(tptp_const_array2(dim(_232914, _232912), dim(_232908, _232906), _232904), _232916, _232910) = _232904), leq(_232914, _232916), leq(_232916, _232912), leq(_232908, _232910), leq(_232910, _232906)], (430 ^ _218303) ^ [_233499, _233501] : [433 ^ _218303 : [(434 ^ _218303) ^ [] : [-(leq(n0, 431 ^ [_233499, _233501]))], (436 ^ _218303) ^ [] : [-(leq(431 ^ [_233499, _233501], _233499))], (438 ^ _218303) ^ [] : [-(leq(n0, 432 ^ [_233499, _233501]))], (440 ^ _218303) ^ [] : [-(leq(432 ^ [_233499, _233501], _233499))], (442 ^ _218303) ^ [] : [a_select3(_233501, 431 ^ [_233499, _233501], 432 ^ [_233499, _233501]) = a_select3(_233501, 432 ^ [_233499, _233501], 431 ^ [_233499, _233501])]], 443 ^ _218303 : [(444 ^ _218303) ^ [_234256, _234258] : [-(a_select3(trans(_233501), _234258, _234256) = a_select3(trans(_233501), _234256, _234258)), leq(n0, _234258), leq(_234258, _233499), leq(n0, _234256), leq(_234256, _233499)]]], (462 ^ _218303) ^ [_234803, _234805] : [465 ^ _218303 : [(466 ^ _218303) ^ [] : [-(leq(n0, 463 ^ [_234803, _234805]))], (468 ^ _218303) ^ [] : [-(leq(463 ^ [_234803, _234805], _234803))], (470 ^ _218303) ^ [] : [-(leq(n0, 464 ^ [_234803, _234805]))], (472 ^ _218303) ^ [] : [-(leq(464 ^ [_234803, _234805], _234803))], (474 ^ _218303) ^ [] : [a_select3(_234805, 463 ^ [_234803, _234805], 464 ^ [_234803, _234805]) = a_select3(_234805, 464 ^ [_234803, _234805], 463 ^ [_234803, _234805])]], 475 ^ _218303 : [(476 ^ _218303) ^ [_235560, _235562] : [-(a_select3(inv(_234805), _235562, _235560) = a_select3(inv(_234805), _235560, _235562)), leq(n0, _235562), leq(_235562, _234803), leq(n0, _235560), leq(_235560, _234803)]]], (494 ^ _218303) ^ [_236107, _236109] : [497 ^ _218303 : [(498 ^ _218303) ^ [] : [-(leq(n0, 495 ^ [_236107, _236109]))], (500 ^ _218303) ^ [] : [-(leq(495 ^ [_236107, _236109], _236107))], (502 ^ _218303) ^ [] : [-(leq(n0, 496 ^ [_236107, _236109]))], (504 ^ _218303) ^ [] : [-(leq(496 ^ [_236107, _236109], _236107))], (506 ^ _218303) ^ [] : [a_select3(_236109, 495 ^ [_236107, _236109], 496 ^ [_236107, _236109]) = a_select3(_236109, 496 ^ [_236107, _236109], 495 ^ [_236107, _236109])]], 507 ^ _218303 : [(508 ^ _218303) ^ [_236920, _236922, _236924, _236926] : [-(a_select3(tptp_update3(_236109, _236922, _236922, _236920), _236926, _236924) = a_select3(tptp_update3(_236109, _236922, _236922, _236920), _236924, _236926)), leq(n0, _236926), leq(_236926, _236107), leq(n0, _236924), leq(_236924, _236107), leq(n0, _236922), leq(_236922, _236107)]]], (534 ^ _218303) ^ [_237739, _237741, _237743] : [539 ^ _218303 : [(540 ^ _218303) ^ [] : [-(leq(n0, 537 ^ [_237739, _237741, _237743]))], (542 ^ _218303) ^ [] : [-(leq(537 ^ [_237739, _237741, _237743], _237739))], (544 ^ _218303) ^ [] : [-(leq(n0, 538 ^ [_237739, _237741, _237743]))], (546 ^ _218303) ^ [] : [-(leq(538 ^ [_237739, _237741, _237743], _237739))], (548 ^ _218303) ^ [] : [a_select3(_237743, 537 ^ [_237739, _237741, _237743], 538 ^ [_237739, _237741, _237743]) = a_select3(_237743, 538 ^ [_237739, _237741, _237743], 537 ^ [_237739, _237741, _237743])]], 551 ^ _218303 : [(552 ^ _218303) ^ [] : [-(leq(n0, 549 ^ [_237739, _237741, _237743]))], (554 ^ _218303) ^ [] : [-(leq(549 ^ [_237739, _237741, _237743], _237739))], (556 ^ _218303) ^ [] : [-(leq(n0, 550 ^ [_237739, _237741, _237743]))], (558 ^ _218303) ^ [] : [-(leq(550 ^ [_237739, _237741, _237743], _237739))], (560 ^ _218303) ^ [] : [a_select3(_237741, 549 ^ [_237739, _237741, _237743], 550 ^ [_237739, _237741, _237743]) = a_select3(_237741, 550 ^ [_237739, _237741, _237743], 549 ^ [_237739, _237741, _237743])]], 561 ^ _218303 : [(562 ^ _218303) ^ [_239248, _239250] : [-(a_select3(tptp_madd(_237743, _237741), _239250, _239248) = a_select3(tptp_madd(_237743, _237741), _239248, _239250)), leq(n0, _239250), leq(_239250, _237739), leq(n0, _239248), leq(_239248, _237739)]]], (580 ^ _218303) ^ [_239834, _239836, _239838] : [585 ^ _218303 : [(586 ^ _218303) ^ [] : [-(leq(n0, 583 ^ [_239834, _239836, _239838]))], (588 ^ _218303) ^ [] : [-(leq(583 ^ [_239834, _239836, _239838], _239834))], (590 ^ _218303) ^ [] : [-(leq(n0, 584 ^ [_239834, _239836, _239838]))], (592 ^ _218303) ^ [] : [-(leq(584 ^ [_239834, _239836, _239838], _239834))], (594 ^ _218303) ^ [] : [a_select3(_239838, 583 ^ [_239834, _239836, _239838], 584 ^ [_239834, _239836, _239838]) = a_select3(_239838, 584 ^ [_239834, _239836, _239838], 583 ^ [_239834, _239836, _239838])]], 597 ^ _218303 : [(598 ^ _218303) ^ [] : [-(leq(n0, 595 ^ [_239834, _239836, _239838]))], (600 ^ _218303) ^ [] : [-(leq(595 ^ [_239834, _239836, _239838], _239834))], (602 ^ _218303) ^ [] : [-(leq(n0, 596 ^ [_239834, _239836, _239838]))], (604 ^ _218303) ^ [] : [-(leq(596 ^ [_239834, _239836, _239838], _239834))], (606 ^ _218303) ^ [] : [a_select3(_239836, 595 ^ [_239834, _239836, _239838], 596 ^ [_239834, _239836, _239838]) = a_select3(_239836, 596 ^ [_239834, _239836, _239838], 595 ^ [_239834, _239836, _239838])]], 607 ^ _218303 : [(608 ^ _218303) ^ [_241343, _241345] : [-(a_select3(tptp_msub(_239838, _239836), _241345, _241343) = a_select3(tptp_msub(_239838, _239836), _241343, _241345)), leq(n0, _241345), leq(_241345, _239834), leq(n0, _241343), leq(_241343, _239834)]]], (626 ^ _218303) ^ [_241929, _241931, _241933] : [629 ^ _218303 : [(630 ^ _218303) ^ [] : [-(leq(n0, 627 ^ [_241929, _241931, _241933]))], (632 ^ _218303) ^ [] : [-(leq(627 ^ [_241929, _241931, _241933], _241929))], (634 ^ _218303) ^ [] : [-(leq(n0, 628 ^ [_241929, _241931, _241933]))], (636 ^ _218303) ^ [] : [-(leq(628 ^ [_241929, _241931, _241933], _241929))], (638 ^ _218303) ^ [] : [a_select3(_241931, 627 ^ [_241929, _241931, _241933], 628 ^ [_241929, _241931, _241933]) = a_select3(_241931, 628 ^ [_241929, _241931, _241933], 627 ^ [_241929, _241931, _241933])]], 639 ^ _218303 : [(640 ^ _218303) ^ [_242742, _242744] : [-(a_select3(tptp_mmul(_241933, tptp_mmul(_241931, trans(_241933))), _242744, _242742) = a_select3(tptp_mmul(_241933, tptp_mmul(_241931, trans(_241933))), _242742, _242744)), leq(n0, _242744), leq(_242744, _241929), leq(n0, _242742), leq(_242742, _241929)]]], (658 ^ _218303) ^ [_243361, _243363, _243365, _243367] : [661 ^ _218303 : [(662 ^ _218303) ^ [] : [-(leq(n0, 659 ^ [_243361, _243363, _243365, _243367]))], (664 ^ _218303) ^ [] : [-(leq(659 ^ [_243361, _243363, _243365, _243367], _243361))], (666 ^ _218303) ^ [] : [-(leq(n0, 660 ^ [_243361, _243363, _243365, _243367]))], (668 ^ _218303) ^ [] : [-(leq(660 ^ [_243361, _243363, _243365, _243367], _243361))], (670 ^ _218303) ^ [] : [a_select3(_243365, 659 ^ [_243361, _243363, _243365, _243367], 660 ^ [_243361, _243363, _243365, _243367]) = a_select3(_243365, 660 ^ [_243361, _243363, _243365, _243367], 659 ^ [_243361, _243363, _243365, _243367])]], 671 ^ _218303 : [(672 ^ _218303) ^ [_244218, _244220] : [-(a_select3(tptp_mmul(_243367, tptp_mmul(_243365, trans(_243367))), _244220, _244218) = a_select3(tptp_mmul(_243367, tptp_mmul(_243365, trans(_243367))), _244218, _244220)), leq(n0, _244220), leq(_244220, _243363), leq(n0, _244218), leq(_244218, _243363)]]], (690 ^ _218303) ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927] : [695 ^ _218303 : [(696 ^ _218303) ^ [] : [-(leq(n0, 693 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (698 ^ _218303) ^ [] : [-(leq(693 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244913))], (700 ^ _218303) ^ [] : [-(leq(n0, 694 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (702 ^ _218303) ^ [] : [-(leq(694 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244913))], (704 ^ _218303) ^ [] : [a_select3(_244921, 693 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 694 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]) = a_select3(_244921, 694 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 693 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927])]], 709 ^ _218303 : [(710 ^ _218303) ^ [] : [-(leq(n0, 707 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (712 ^ _218303) ^ [] : [-(leq(707 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244915))], (714 ^ _218303) ^ [] : [-(leq(n0, 708 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (716 ^ _218303) ^ [] : [-(leq(708 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244915))], (718 ^ _218303) ^ [] : [a_select3(_244927, 707 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 708 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]) = a_select3(_244927, 708 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 707 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927])]], 721 ^ _218303 : [(722 ^ _218303) ^ [] : [-(leq(n0, 719 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (724 ^ _218303) ^ [] : [-(leq(719 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244915))], (726 ^ _218303) ^ [] : [-(leq(n0, 720 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]))], (728 ^ _218303) ^ [] : [-(leq(720 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], _244915))], (730 ^ _218303) ^ [] : [a_select3(_244917, 719 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 720 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927]) = a_select3(_244917, 720 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927], 719 ^ [_244913, _244915, _244917, _244919, _244921, _244923, _244925, _244927])]], 731 ^ _218303 : [(732 ^ _218303) ^ [_247841, _247843] : [-(a_select3(tptp_madd(_244927, tptp_mmul(_244925, tptp_mmul(tptp_madd(tptp_mmul(_244923, tptp_mmul(_244921, trans(_244923))), tptp_mmul(_244919, tptp_mmul(_244917, trans(_244919)))), trans(_244925)))), _247843, _247841) = a_select3(tptp_madd(_244927, tptp_mmul(_244925, tptp_mmul(tptp_madd(tptp_mmul(_244923, tptp_mmul(_244921, trans(_244923))), tptp_mmul(_244919, tptp_mmul(_244917, trans(_244919)))), trans(_244925)))), _247841, _247843)), leq(n0, _247843), leq(_247843, _244915), leq(n0, _247841), leq(_247841, _244915)]]], (750 ^ _218303) ^ [_248594] : [-(sum(n0, tptp_minus_1, _248594) = n0)], (752 ^ _218303) ^ [_248676] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248676))], (754 ^ _218303) ^ [] : [-(succ(tptp_minus_1) = n0)], (756 ^ _218303) ^ [_248811] : [-(plus(_248811, n1) = succ(_248811))], (758 ^ _218303) ^ [_248894] : [-(plus(n1, _248894) = succ(_248894))], (760 ^ _218303) ^ [_248977] : [-(plus(_248977, n2) = succ(succ(_248977)))], (762 ^ _218303) ^ [_249062] : [-(plus(n2, _249062) = succ(succ(_249062)))], (764 ^ _218303) ^ [_249147] : [-(plus(_249147, n3) = succ(succ(succ(_249147))))], (766 ^ _218303) ^ [_249234] : [-(plus(n3, _249234) = succ(succ(succ(_249234))))], (768 ^ _218303) ^ [_249321] : [-(plus(_249321, n4) = succ(succ(succ(succ(_249321)))))], (770 ^ _218303) ^ [_249410] : [-(plus(n4, _249410) = succ(succ(succ(succ(_249410)))))], (772 ^ _218303) ^ [_249499] : [-(plus(_249499, n5) = succ(succ(succ(succ(succ(_249499))))))], (774 ^ _218303) ^ [_249590] : [-(plus(n5, _249590) = succ(succ(succ(succ(succ(_249590))))))], (776 ^ _218303) ^ [_249681] : [-(minus(_249681, n1) = pred(_249681))], (778 ^ _218303) ^ [_249764] : [-(pred(succ(_249764)) = _249764)], (780 ^ _218303) ^ [_249846] : [-(succ(pred(_249846)) = _249846)], (782 ^ _218303) ^ [_249986, _249988] : [leq(succ(_249988), succ(_249986)), -(leq(_249988, _249986))], (788 ^ _218303) ^ [_250156, _250158] : [leq(_250158, _250156), -(leq(succ(_250158), succ(_250156)))], (794 ^ _218303) ^ [_250376, _250378] : [leq(succ(_250378), _250376), -(gt(_250376, _250378))], (800 ^ _218303) ^ [_250590, _250592] : [leq(minus(_250592, _250590), _250592), -(leq(n0, _250590))], (806 ^ _218303) ^ [_250819, _250821, _250823, _250825] : [-(a_select3(tptp_update3(_250825, _250823, _250821, _250819), _250823, _250821) = _250819)], (808 ^ _218303) ^ [_251011, _251013, _251015, _251017, _251019, _251021, _251023] : [-(a_select3(tptp_update3(_251015, _251023, _251021, _251011), _251019, _251017) = _251013), -(_251023 = _251019), _251021 = _251017, a_select3(_251015, _251019, _251017) = _251013], (822 ^ _218303) ^ [_251554, _251556, _251558, _251560, _251562, _251564] : [-(a_select3(tptp_update3(_251556, _251560, _251558, _251554), _251564, _251562) = _251554), 827 ^ _218303 : [(828 ^ _218303) ^ [] : [-(leq(n0, 825 ^ [_251554, _251556, _251558, _251560, _251562, _251564]))], (830 ^ _218303) ^ [] : [-(leq(n0, 826 ^ [_251554, _251556, _251558, _251560, _251562, _251564]))], (832 ^ _218303) ^ [] : [-(leq(825 ^ [_251554, _251556, _251558, _251560, _251562, _251564], _251560))], (834 ^ _218303) ^ [] : [-(leq(826 ^ [_251554, _251556, _251558, _251560, _251562, _251564], _251558))], (836 ^ _218303) ^ [] : [a_select3(_251556, 825 ^ [_251554, _251556, _251558, _251560, _251562, _251564], 826 ^ [_251554, _251556, _251558, _251560, _251562, _251564]) = _251554]], leq(n0, _251564), leq(_251564, _251560), leq(n0, _251562), leq(_251562, _251558)], (854 ^ _218303) ^ [_252896, _252898, _252900] : [-(a_select2(tptp_update2(_252900, _252898, _252896), _252898) = _252896)], (856 ^ _218303) ^ [_253056, _253058, _253060, _253062, _253064] : [-(a_select2(tptp_update2(_253060, _253064, _253056), _253062) = _253058), -(_253064 = _253062), a_select2(_253060, _253062) = _253058], (885 ^ _218303) ^ [] : [-(true)], (887 ^ _218303) ^ [] : [def = use], (866 ^ _218303) ^ [_253436, _253438, _253440, _253442] : [-(a_select2(tptp_update2(_253438, _253440, _253436), _253442) = _253436), 870 ^ _218303 : [(871 ^ _218303) ^ [] : [-(leq(n0, 869 ^ [_253436, _253438, _253440, _253442]))], (873 ^ _218303) ^ [] : [-(leq(869 ^ [_253436, _253438, _253440, _253442], _253440))], (875 ^ _218303) ^ [] : [a_select2(_253438, 869 ^ [_253436, _253438, _253440, _253442]) = _253436]], leq(n0, _253442), leq(_253442, _253440)]], input).
% 0.34/1.39  ncf('1',plain,[n2 = 1075 ^ [], n4 = 1074 ^ []],start(1157 ^ 0)).
% 0.34/1.39  ncf('1.1',plain,[-(n2 = 1075 ^ [])],extension(1227 ^ 1)).
% 0.34/1.39  ncf('1.2',plain,[-(n4 = 1074 ^ [])],extension(1229 ^ 1)).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------