%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV215+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV215+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.11  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n022.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 02:41:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(1077 ^ _225231) ^ [] : [-(leq(n0, 1074 ^ []))], (1079 ^ _225231) ^ [] : [-(leq(n0, 1075 ^ []))], (1081 ^ _225231) ^ [] : [-(leq(1074 ^ [], n5))], (1083 ^ _225231) ^ [] : [-(leq(1075 ^ [], n5))], (1291 ^ _225231) ^ [] : [n0 = times(divide(n1, n400), a_select2(sigma, n2))], (1085 ^ _225231) ^ [] : [n0 = 1074 ^ [], n3 = 1075 ^ []], (1091 ^ _225231) ^ [] : [n0 = 1074 ^ [], n4 = 1075 ^ []], (1097 ^ _225231) ^ [] : [n0 = 1074 ^ [], n5 = 1075 ^ []], (1103 ^ _225231) ^ [] : [n0 = 1075 ^ [], n1 = 1074 ^ []], (1109 ^ _225231) ^ [] : [n0 = 1075 ^ [], n2 = 1074 ^ []], (1115 ^ _225231) ^ [] : [n0 = 1075 ^ [], n3 = 1074 ^ []], (1121 ^ _225231) ^ [] : [n0 = 1075 ^ [], n4 = 1074 ^ []], (1127 ^ _225231) ^ [] : [n0 = 1075 ^ [], n5 = 1074 ^ []], (1133 ^ _225231) ^ [] : [n1 = 1074 ^ [], n1 = 1075 ^ []], (1139 ^ _225231) ^ [] : [n1 = 1074 ^ [], n2 = 1075 ^ []], (1145 ^ _225231) ^ [] : [n1 = 1074 ^ [], n3 = 1075 ^ []], (1151 ^ _225231) ^ [] : [n1 = 1074 ^ [], n4 = 1075 ^ []], (1157 ^ _225231) ^ [] : [n1 = 1074 ^ [], n5 = 1075 ^ []], (1163 ^ _225231) ^ [] : [n1 = 1075 ^ [], n2 = 1074 ^ []], (1169 ^ _225231) ^ [] : [n1 = 1075 ^ [], n3 = 1074 ^ []], (1175 ^ _225231) ^ [] : [n1 = 1075 ^ [], n4 = 1074 ^ []], (1181 ^ _225231) ^ [] : [n1 = 1075 ^ [], n5 = 1074 ^ []], (1187 ^ _225231) ^ [] : [n2 = 1074 ^ [], n2 = 1075 ^ []], (1193 ^ _225231) ^ [] : [n2 = 1074 ^ [], n3 = 1075 ^ []], (1199 ^ _225231) ^ [] : [n2 = 1074 ^ [], n4 = 1075 ^ []], (1205 ^ _225231) ^ [] : [n2 = 1074 ^ [], n5 = 1075 ^ []], (1211 ^ _225231) ^ [] : [n2 = 1075 ^ [], n3 = 1074 ^ []], (1217 ^ _225231) ^ [] : [n2 = 1075 ^ [], n4 = 1074 ^ []], (1223 ^ _225231) ^ [] : [n2 = 1075 ^ [], n5 = 1074 ^ []], (1229 ^ _225231) ^ [] : [n3 = 1074 ^ [], n3 = 1075 ^ []], (1235 ^ _225231) ^ [] : [n3 = 1074 ^ [], n4 = 1075 ^ []], (1241 ^ _225231) ^ [] : [n3 = 1074 ^ [], n5 = 1075 ^ []], (1247 ^ _225231) ^ [] : [n3 = 1075 ^ [], n4 = 1074 ^ []], (1253 ^ _225231) ^ [] : [n3 = 1075 ^ [], n5 = 1074 ^ []], (1259 ^ _225231) ^ [] : [n4 = 1074 ^ [], n4 = 1075 ^ []], (1265 ^ _225231) ^ [] : [n4 = 1074 ^ [], n5 = 1075 ^ []], (1271 ^ _225231) ^ [] : [n4 = 1075 ^ [], n5 = 1074 ^ []], (1283 ^ _225231) ^ [] : [-(n0 = 1074 ^ [])], (1285 ^ _225231) ^ [] : [-(n2 = 1074 ^ [])], (1287 ^ _225231) ^ [] : [-(n2 = 1075 ^ [])], (1289 ^ _225231) ^ [] : [-(n4 = 1075 ^ [])], (1277 ^ _225231) ^ [] : [n5 = 1074 ^ [], n5 = 1075 ^ []], (2 ^ _225231) ^ [_225375] : [-(_225375 = _225375)], (4 ^ _225231) ^ [_225482, _225484] : [_225484 = _225482, -(_225482 = _225484)], (10 ^ _225231) ^ [_225686, _225688, _225690] : [-(_225690 = _225686), _225690 = _225688, _225688 = _225686], (20 ^ _225231) ^ [_226027, _226029, _226031, _226033] : [-(lt(_226031, _226027)), lt(_226033, _226029), _226033 = _226031, _226029 = _226027], (34 ^ _225231) ^ [_226471, _226473, _226475, _226477] : [-(geq(_226475, _226471)), geq(_226477, _226473), _226477 = _226475, _226473 = _226471], (48 ^ _225231) ^ [_226915, _226917, _226919, _226921] : [-(gt(_226919, _226915)), gt(_226921, _226917), _226921 = _226919, _226917 = _226915], (62 ^ _225231) ^ [_227339, _227341, _227343, _227345] : [-(leq(_227343, _227339)), leq(_227345, _227341), _227345 = _227343, _227341 = _227339], (76 ^ _225231) ^ [_227795, _227797, _227799, _227801] : [-(uniform_int_rnd(_227801, _227797) = uniform_int_rnd(_227799, _227795)), _227801 = _227799, _227797 = _227795], (86 ^ _225231) ^ [_228154, _228156, _228158, _228160] : [-(tptp_const_array1(_228160, _228156) = tptp_const_array1(_228158, _228154)), _228160 = _228158, _228156 = _228154], (96 ^ _225231) ^ [_228541, _228543, _228545, _228547, _228549, _228551] : [-(tptp_const_array2(_228551, _228547, _228543) = tptp_const_array2(_228549, _228545, _228541)), _228551 = _228549, _228547 = _228545, _228543 = _228541], (110 ^ _225231) ^ [_229029, _229031, _229033, _229035] : [-(dim(_229035, _229031) = dim(_229033, _229029)), _229035 = _229033, _229031 = _229029], (120 ^ _225231) ^ [_229360, _229362] : [_229362 = _229360, -(inv(_229362) = inv(_229360))], (126 ^ _225231) ^ [_229606, _229608, _229610, _229612] : [-(tptp_msub(_229612, _229608) = tptp_msub(_229610, _229606)), _229612 = _229610, _229608 = _229606], (136 ^ _225231) ^ [_229965, _229967, _229969, _229971] : [-(tptp_madd(_229971, _229967) = tptp_madd(_229969, _229965)), _229971 = _229969, _229967 = _229965], (146 ^ _225231) ^ [_230324, _230326, _230328, _230330] : [-(tptp_mmul(_230330, _230326) = tptp_mmul(_230328, _230324)), _230330 = _230328, _230326 = _230324], (156 ^ _225231) ^ [_230655, _230657] : [_230657 = _230655, -(trans(_230657) = trans(_230655))], (162 ^ _225231) ^ [_230929, _230931, _230933, _230935, _230937, _230939] : [-(sum(_230939, _230935, _230931) = sum(_230937, _230933, _230929)), _230939 = _230937, _230935 = _230933, _230931 = _230929], (176 ^ _225231) ^ [_231417, _231419, _231421, _231423] : [-(plus(_231423, _231419) = plus(_231421, _231417)), _231423 = _231421, _231419 = _231417], (186 ^ _225231) ^ [_231748, _231750] : [_231750 = _231748, -(pred(_231750) = pred(_231748))], (192 ^ _225231) ^ [_231994, _231996, _231998, _232000] : [-(minus(_232000, _231996) = minus(_231998, _231994)), _232000 = _231998, _231996 = _231994], (202 ^ _225231) ^ [_232381, _232383, _232385, _232387, _232389, _232391] : [-(a_select3(_232391, _232387, _232383) = a_select3(_232389, _232385, _232381)), _232391 = _232389, _232387 = _232385, _232383 = _232381], (216 ^ _225231) ^ [_232925, _232927, _232929, _232931, _232933, _232935, _232937, _232939] : [-(tptp_update3(_232939, _232935, _232931, _232927) = tptp_update3(_232937, _232933, _232929, _232925)), _232939 = _232937, _232935 = _232933, _232931 = _232929, _232927 = _232925], (234 ^ _225231) ^ [_233586, _233588, _233590, _233592, _233594, _233596] : [-(tptp_update2(_233596, _233592, _233588) = tptp_update2(_233594, _233590, _233586)), _233596 = _233594, _233592 = _233590, _233588 = _233586], (248 ^ _225231) ^ [_234046, _234048] : [_234048 = _234046, -(succ(_234048) = succ(_234046))], (254 ^ _225231) ^ [_234292, _234294, _234296, _234298] : [-(times(_234298, _234294) = times(_234296, _234292)), _234298 = _234296, _234294 = _234292], (264 ^ _225231) ^ [_234651, _234653, _234655, _234657] : [-(divide(_234657, _234653) = divide(_234655, _234651)), _234657 = _234655, _234653 = _234651], (274 ^ _225231) ^ [_234990, _234992, _234994, _234996] : [-(a_select2(_234996, _234992) = a_select2(_234994, _234990)), _234996 = _234994, _234992 = _234990], (889 ^ _225231) ^ [] : [-(gt(n5, n4))], (891 ^ _225231) ^ [] : [-(gt(n400, n4))], (893 ^ _225231) ^ [] : [-(gt(n400, n5))], (895 ^ _225231) ^ [] : [-(gt(n4, tptp_minus_1))], (897 ^ _225231) ^ [] : [-(gt(n5, tptp_minus_1))], (899 ^ _225231) ^ [] : [-(gt(n400, tptp_minus_1))], (901 ^ _225231) ^ [] : [-(gt(n0, tptp_minus_1))], (903 ^ _225231) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _225231) ^ [] : [-(gt(n2, tptp_minus_1))], (907 ^ _225231) ^ [] : [-(gt(n3, tptp_minus_1))], (909 ^ _225231) ^ [] : [-(gt(n4, n0))], (911 ^ _225231) ^ [] : [-(gt(n5, n0))], (913 ^ _225231) ^ [] : [-(gt(n400, n0))], (915 ^ _225231) ^ [] : [-(gt(n1, n0))], (917 ^ _225231) ^ [] : [-(gt(n2, n0))], (919 ^ _225231) ^ [] : [-(gt(n3, n0))], (921 ^ _225231) ^ [] : [-(gt(n4, n1))], (923 ^ _225231) ^ [] : [-(gt(n5, n1))], (925 ^ _225231) ^ [] : [-(gt(n400, n1))], (927 ^ _225231) ^ [] : [-(gt(n2, n1))], (929 ^ _225231) ^ [] : [-(gt(n3, n1))], (931 ^ _225231) ^ [] : [-(gt(n4, n2))], (933 ^ _225231) ^ [] : [-(gt(n5, n2))], (935 ^ _225231) ^ [] : [-(gt(n400, n2))], (937 ^ _225231) ^ [] : [-(gt(n3, n2))], (939 ^ _225231) ^ [] : [-(gt(n4, n3))], (941 ^ _225231) ^ [] : [-(gt(n5, n3))], (943 ^ _225231) ^ [] : [-(gt(n400, n3))], (945 ^ _225231) ^ [_262838] : [leq(n0, _262838), leq(_262838, n4), -(_262838 = n0), -(_262838 = n1), -(_262838 = n2), -(_262838 = n3), -(_262838 = n4)], (971 ^ _225231) ^ [_263459] : [leq(n0, _263459), leq(_263459, n5), -(_263459 = n0), -(_263459 = n1), -(_263459 = n2), -(_263459 = n3), -(_263459 = n4), -(_263459 = n5)], (1001 ^ _225231) ^ [_264166] : [-(_264166 = n0), leq(n0, _264166), leq(_264166, n0)], (1011 ^ _225231) ^ [_264441] : [leq(n0, _264441), leq(_264441, n1), -(_264441 = n0), -(_264441 = n1)], (1025 ^ _225231) ^ [_264804] : [leq(n0, _264804), leq(_264804, n2), -(_264804 = n0), -(_264804 = n1), -(_264804 = n2)], (1065 ^ _225231) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1067 ^ _225231) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1069 ^ _225231) ^ [] : [-(succ(n0) = n1)], (1071 ^ _225231) ^ [] : [-(succ(succ(n0)) = n2)], (1073 ^ _225231) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1043 ^ _225231) ^ [_265253] : [leq(n0, _265253), leq(_265253, n3), -(_265253 = n0), -(_265253 = n1), -(_265253 = n2), -(_265253 = n3)], (284 ^ _225231) ^ [_235429, _235431] : [-(gt(_235431, _235429)), -(gt(_235429, _235431)), -(_235431 = _235429)], (294 ^ _225231) ^ [_235744, _235746, _235748] : [-(gt(_235748, _235744)), gt(_235748, _235746), gt(_235746, _235744)], (304 ^ _225231) ^ [_236023] : [gt(_236023, _236023)], (306 ^ _225231) ^ [_236101] : [-(leq(_236101, _236101))], (308 ^ _225231) ^ [_236222, _236224, _236226] : [-(leq(_236226, _236222)), leq(_236226, _236224), leq(_236224, _236222)], (318 ^ _225231) ^ [_236560, _236562] : [lt(_236562, _236560), -(gt(_236560, _236562))], (324 ^ _225231) ^ [_236722, _236724] : [gt(_236722, _236724), -(lt(_236724, _236722))], (330 ^ _225231) ^ [_236963, _236965] : [geq(_236965, _236963), -(leq(_236963, _236965))], (336 ^ _225231) ^ [_237125, _237127] : [leq(_237125, _237127), -(geq(_237127, _237125))], (342 ^ _225231) ^ [_237337, _237339] : [gt(_237337, _237339), -(leq(_237339, _237337))], (348 ^ _225231) ^ [_237547, _237549] : [-(gt(_237547, _237549)), leq(_237549, _237547), -(_237549 = _237547)], (358 ^ _225231) ^ [_237878, _237880] : [leq(_237880, pred(_237878)), -(gt(_237878, _237880))], (364 ^ _225231) ^ [_238044, _238046] : [gt(_238044, _238046), -(leq(_238046, pred(_238044)))], (370 ^ _225231) ^ [_238231] : [-(gt(succ(_238231), _238231))], (372 ^ _225231) ^ [_238340, _238342] : [leq(_238342, _238340), -(leq(_238342, succ(_238340)))], (378 ^ _225231) ^ [_238583, _238585] : [leq(_238585, _238583), -(gt(succ(_238583), _238585))], (384 ^ _225231) ^ [_238749, _238751] : [gt(succ(_238749), _238751), -(leq(_238751, _238749))], (390 ^ _225231) ^ [_238965, _238967] : [leq(n0, _238967), -(leq(uniform_int_rnd(_238965, _238967), _238967))], (396 ^ _225231) ^ [_239181, _239183] : [leq(n0, _239183), -(leq(n0, uniform_int_rnd(_239181, _239183)))], (402 ^ _225231) ^ [_239425, _239427, _239429, _239431] : [-(a_select2(tptp_const_array1(dim(_239429, _239427), _239425), _239431) = _239425), leq(_239429, _239431), leq(_239431, _239427)], (412 ^ _225231) ^ [_239832, _239834, _239836, _239838, _239840, _239842, _239844] : [-(a_select3(tptp_const_array2(dim(_239842, _239840), dim(_239836, _239834), _239832), _239844, _239838) = _239832), leq(_239842, _239844), leq(_239844, _239840), leq(_239836, _239838), leq(_239838, _239834)], (430 ^ _225231) ^ [_240427, _240429] : [433 ^ _225231 : [(434 ^ _225231) ^ [] : [-(leq(n0, 431 ^ [_240427, _240429]))], (436 ^ _225231) ^ [] : [-(leq(431 ^ [_240427, _240429], _240427))], (438 ^ _225231) ^ [] : [-(leq(n0, 432 ^ [_240427, _240429]))], (440 ^ _225231) ^ [] : [-(leq(432 ^ [_240427, _240429], _240427))], (442 ^ _225231) ^ [] : [a_select3(_240429, 431 ^ [_240427, _240429], 432 ^ [_240427, _240429]) = a_select3(_240429, 432 ^ [_240427, _240429], 431 ^ [_240427, _240429])]], 443 ^ _225231 : [(444 ^ _225231) ^ [_241184, _241186] : [-(a_select3(trans(_240429), _241186, _241184) = a_select3(trans(_240429), _241184, _241186)), leq(n0, _241186), leq(_241186, _240427), leq(n0, _241184), leq(_241184, _240427)]]], (462 ^ _225231) ^ [_241731, _241733] : [465 ^ _225231 : [(466 ^ _225231) ^ [] : [-(leq(n0, 463 ^ [_241731, _241733]))], (468 ^ _225231) ^ [] : [-(leq(463 ^ [_241731, _241733], _241731))], (470 ^ _225231) ^ [] : [-(leq(n0, 464 ^ [_241731, _241733]))], (472 ^ _225231) ^ [] : [-(leq(464 ^ [_241731, _241733], _241731))], (474 ^ _225231) ^ [] : [a_select3(_241733, 463 ^ [_241731, _241733], 464 ^ [_241731, _241733]) = a_select3(_241733, 464 ^ [_241731, _241733], 463 ^ [_241731, _241733])]], 475 ^ _225231 : [(476 ^ _225231) ^ [_242488, _242490] : [-(a_select3(inv(_241733), _242490, _242488) = a_select3(inv(_241733), _242488, _242490)), leq(n0, _242490), leq(_242490, _241731), leq(n0, _242488), leq(_242488, _241731)]]], (494 ^ _225231) ^ [_243035, _243037] : [497 ^ _225231 : [(498 ^ _225231) ^ [] : [-(leq(n0, 495 ^ [_243035, _243037]))], (500 ^ _225231) ^ [] : [-(leq(495 ^ [_243035, _243037], _243035))], (502 ^ _225231) ^ [] : [-(leq(n0, 496 ^ [_243035, _243037]))], (504 ^ _225231) ^ [] : [-(leq(496 ^ [_243035, _243037], _243035))], (506 ^ _225231) ^ [] : [a_select3(_243037, 495 ^ [_243035, _243037], 496 ^ [_243035, _243037]) = a_select3(_243037, 496 ^ [_243035, _243037], 495 ^ [_243035, _243037])]], 507 ^ _225231 : [(508 ^ _225231) ^ [_243848, _243850, _243852, _243854] : [-(a_select3(tptp_update3(_243037, _243850, _243850, _243848), _243854, _243852) = a_select3(tptp_update3(_243037, _243850, _243850, _243848), _243852, _243854)), leq(n0, _243854), leq(_243854, _243035), leq(n0, _243852), leq(_243852, _243035), leq(n0, _243850), leq(_243850, _243035)]]], (534 ^ _225231) ^ [_244667, _244669, _244671] : [539 ^ _225231 : [(540 ^ _225231) ^ [] : [-(leq(n0, 537 ^ [_244667, _244669, _244671]))], (542 ^ _225231) ^ [] : [-(leq(537 ^ [_244667, _244669, _244671], _244667))], (544 ^ _225231) ^ [] : [-(leq(n0, 538 ^ [_244667, _244669, _244671]))], (546 ^ _225231) ^ [] : [-(leq(538 ^ [_244667, _244669, _244671], _244667))], (548 ^ _225231) ^ [] : [a_select3(_244671, 537 ^ [_244667, _244669, _244671], 538 ^ [_244667, _244669, _244671]) = a_select3(_244671, 538 ^ [_244667, _244669, _244671], 537 ^ [_244667, _244669, _244671])]], 551 ^ _225231 : [(552 ^ _225231) ^ [] : [-(leq(n0, 549 ^ [_244667, _244669, _244671]))], (554 ^ _225231) ^ [] : [-(leq(549 ^ [_244667, _244669, _244671], _244667))], (556 ^ _225231) ^ [] : [-(leq(n0, 550 ^ [_244667, _244669, _244671]))], (558 ^ _225231) ^ [] : [-(leq(550 ^ [_244667, _244669, _244671], _244667))], (560 ^ _225231) ^ [] : [a_select3(_244669, 549 ^ [_244667, _244669, _244671], 550 ^ [_244667, _244669, _244671]) = a_select3(_244669, 550 ^ [_244667, _244669, _244671], 549 ^ [_244667, _244669, _244671])]], 561 ^ _225231 : [(562 ^ _225231) ^ [_246176, _246178] : [-(a_select3(tptp_madd(_244671, _244669), _246178, _246176) = a_select3(tptp_madd(_244671, _244669), _246176, _246178)), leq(n0, _246178), leq(_246178, _244667), leq(n0, _246176), leq(_246176, _244667)]]], (580 ^ _225231) ^ [_246762, _246764, _246766] : [585 ^ _225231 : [(586 ^ _225231) ^ [] : [-(leq(n0, 583 ^ [_246762, _246764, _246766]))], (588 ^ _225231) ^ [] : [-(leq(583 ^ [_246762, _246764, _246766], _246762))], (590 ^ _225231) ^ [] : [-(leq(n0, 584 ^ [_246762, _246764, _246766]))], (592 ^ _225231) ^ [] : [-(leq(584 ^ [_246762, _246764, _246766], _246762))], (594 ^ _225231) ^ [] : [a_select3(_246766, 583 ^ [_246762, _246764, _246766], 584 ^ [_246762, _246764, _246766]) = a_select3(_246766, 584 ^ [_246762, _246764, _246766], 583 ^ [_246762, _246764, _246766])]], 597 ^ _225231 : [(598 ^ _225231) ^ [] : [-(leq(n0, 595 ^ [_246762, _246764, _246766]))], (600 ^ _225231) ^ [] : [-(leq(595 ^ [_246762, _246764, _246766], _246762))], (602 ^ _225231) ^ [] : [-(leq(n0, 596 ^ [_246762, _246764, _246766]))], (604 ^ _225231) ^ [] : [-(leq(596 ^ [_246762, _246764, _246766], _246762))], (606 ^ _225231) ^ [] : [a_select3(_246764, 595 ^ [_246762, _246764, _246766], 596 ^ [_246762, _246764, _246766]) = a_select3(_246764, 596 ^ [_246762, _246764, _246766], 595 ^ [_246762, _246764, _246766])]], 607 ^ _225231 : [(608 ^ _225231) ^ [_248271, _248273] : [-(a_select3(tptp_msub(_246766, _246764), _248273, _248271) = a_select3(tptp_msub(_246766, _246764), _248271, _248273)), leq(n0, _248273), leq(_248273, _246762), leq(n0, _248271), leq(_248271, _246762)]]], (626 ^ _225231) ^ [_248857, _248859, _248861] : [629 ^ _225231 : [(630 ^ _225231) ^ [] : [-(leq(n0, 627 ^ [_248857, _248859, _248861]))], (632 ^ _225231) ^ [] : [-(leq(627 ^ [_248857, _248859, _248861], _248857))], (634 ^ _225231) ^ [] : [-(leq(n0, 628 ^ [_248857, _248859, _248861]))], (636 ^ _225231) ^ [] : [-(leq(628 ^ [_248857, _248859, _248861], _248857))], (638 ^ _225231) ^ [] : [a_select3(_248859, 627 ^ [_248857, _248859, _248861], 628 ^ [_248857, _248859, _248861]) = a_select3(_248859, 628 ^ [_248857, _248859, _248861], 627 ^ [_248857, _248859, _248861])]], 639 ^ _225231 : [(640 ^ _225231) ^ [_249670, _249672] : [-(a_select3(tptp_mmul(_248861, tptp_mmul(_248859, trans(_248861))), _249672, _249670) = a_select3(tptp_mmul(_248861, tptp_mmul(_248859, trans(_248861))), _249670, _249672)), leq(n0, _249672), leq(_249672, _248857), leq(n0, _249670), leq(_249670, _248857)]]], (658 ^ _225231) ^ [_250289, _250291, _250293, _250295] : [661 ^ _225231 : [(662 ^ _225231) ^ [] : [-(leq(n0, 659 ^ [_250289, _250291, _250293, _250295]))], (664 ^ _225231) ^ [] : [-(leq(659 ^ [_250289, _250291, _250293, _250295], _250289))], (666 ^ _225231) ^ [] : [-(leq(n0, 660 ^ [_250289, _250291, _250293, _250295]))], (668 ^ _225231) ^ [] : [-(leq(660 ^ [_250289, _250291, _250293, _250295], _250289))], (670 ^ _225231) ^ [] : [a_select3(_250293, 659 ^ [_250289, _250291, _250293, _250295], 660 ^ [_250289, _250291, _250293, _250295]) = a_select3(_250293, 660 ^ [_250289, _250291, _250293, _250295], 659 ^ [_250289, _250291, _250293, _250295])]], 671 ^ _225231 : [(672 ^ _225231) ^ [_251146, _251148] : [-(a_select3(tptp_mmul(_250295, tptp_mmul(_250293, trans(_250295))), _251148, _251146) = a_select3(tptp_mmul(_250295, tptp_mmul(_250293, trans(_250295))), _251146, _251148)), leq(n0, _251148), leq(_251148, _250291), leq(n0, _251146), leq(_251146, _250291)]]], (690 ^ _225231) ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855] : [695 ^ _225231 : [(696 ^ _225231) ^ [] : [-(leq(n0, 693 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (698 ^ _225231) ^ [] : [-(leq(693 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251841))], (700 ^ _225231) ^ [] : [-(leq(n0, 694 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (702 ^ _225231) ^ [] : [-(leq(694 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251841))], (704 ^ _225231) ^ [] : [a_select3(_251849, 693 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 694 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]) = a_select3(_251849, 694 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 693 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855])]], 709 ^ _225231 : [(710 ^ _225231) ^ [] : [-(leq(n0, 707 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (712 ^ _225231) ^ [] : [-(leq(707 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251843))], (714 ^ _225231) ^ [] : [-(leq(n0, 708 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (716 ^ _225231) ^ [] : [-(leq(708 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251843))], (718 ^ _225231) ^ [] : [a_select3(_251855, 707 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 708 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]) = a_select3(_251855, 708 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 707 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855])]], 721 ^ _225231 : [(722 ^ _225231) ^ [] : [-(leq(n0, 719 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (724 ^ _225231) ^ [] : [-(leq(719 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251843))], (726 ^ _225231) ^ [] : [-(leq(n0, 720 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]))], (728 ^ _225231) ^ [] : [-(leq(720 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], _251843))], (730 ^ _225231) ^ [] : [a_select3(_251845, 719 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 720 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855]) = a_select3(_251845, 720 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855], 719 ^ [_251841, _251843, _251845, _251847, _251849, _251851, _251853, _251855])]], 731 ^ _225231 : [(732 ^ _225231) ^ [_254769, _254771] : [-(a_select3(tptp_madd(_251855, tptp_mmul(_251853, tptp_mmul(tptp_madd(tptp_mmul(_251851, tptp_mmul(_251849, trans(_251851))), tptp_mmul(_251847, tptp_mmul(_251845, trans(_251847)))), trans(_251853)))), _254771, _254769) = a_select3(tptp_madd(_251855, tptp_mmul(_251853, tptp_mmul(tptp_madd(tptp_mmul(_251851, tptp_mmul(_251849, trans(_251851))), tptp_mmul(_251847, tptp_mmul(_251845, trans(_251847)))), trans(_251853)))), _254769, _254771)), leq(n0, _254771), leq(_254771, _251843), leq(n0, _254769), leq(_254769, _251843)]]], (750 ^ _225231) ^ [_255522] : [-(sum(n0, tptp_minus_1, _255522) = n0)], (752 ^ _225231) ^ [_255604] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _255604))], (754 ^ _225231) ^ [] : [-(succ(tptp_minus_1) = n0)], (756 ^ _225231) ^ [_255739] : [-(plus(_255739, n1) = succ(_255739))], (758 ^ _225231) ^ [_255822] : [-(plus(n1, _255822) = succ(_255822))], (760 ^ _225231) ^ [_255905] : [-(plus(_255905, n2) = succ(succ(_255905)))], (762 ^ _225231) ^ [_255990] : [-(plus(n2, _255990) = succ(succ(_255990)))], (764 ^ _225231) ^ [_256075] : [-(plus(_256075, n3) = succ(succ(succ(_256075))))], (766 ^ _225231) ^ [_256162] : [-(plus(n3, _256162) = succ(succ(succ(_256162))))], (768 ^ _225231) ^ [_256249] : [-(plus(_256249, n4) = succ(succ(succ(succ(_256249)))))], (770 ^ _225231) ^ [_256338] : [-(plus(n4, _256338) = succ(succ(succ(succ(_256338)))))], (772 ^ _225231) ^ [_256427] : [-(plus(_256427, n5) = succ(succ(succ(succ(succ(_256427))))))], (774 ^ _225231) ^ [_256518] : [-(plus(n5, _256518) = succ(succ(succ(succ(succ(_256518))))))], (776 ^ _225231) ^ [_256609] : [-(minus(_256609, n1) = pred(_256609))], (778 ^ _225231) ^ [_256692] : [-(pred(succ(_256692)) = _256692)], (780 ^ _225231) ^ [_256774] : [-(succ(pred(_256774)) = _256774)], (782 ^ _225231) ^ [_256914, _256916] : [leq(succ(_256916), succ(_256914)), -(leq(_256916, _256914))], (788 ^ _225231) ^ [_257084, _257086] : [leq(_257086, _257084), -(leq(succ(_257086), succ(_257084)))], (794 ^ _225231) ^ [_257304, _257306] : [leq(succ(_257306), _257304), -(gt(_257304, _257306))], (800 ^ _225231) ^ [_257518, _257520] : [leq(minus(_257520, _257518), _257520), -(leq(n0, _257518))], (806 ^ _225231) ^ [_257747, _257749, _257751, _257753] : [-(a_select3(tptp_update3(_257753, _257751, _257749, _257747), _257751, _257749) = _257747)], (808 ^ _225231) ^ [_257939, _257941, _257943, _257945, _257947, _257949, _257951] : [-(a_select3(tptp_update3(_257943, _257951, _257949, _257939), _257947, _257945) = _257941), -(_257951 = _257947), _257949 = _257945, a_select3(_257943, _257947, _257945) = _257941], (822 ^ _225231) ^ [_258482, _258484, _258486, _258488, _258490, _258492] : [-(a_select3(tptp_update3(_258484, _258488, _258486, _258482), _258492, _258490) = _258482), 827 ^ _225231 : [(828 ^ _225231) ^ [] : [-(leq(n0, 825 ^ [_258482, _258484, _258486, _258488, _258490, _258492]))], (830 ^ _225231) ^ [] : [-(leq(n0, 826 ^ [_258482, _258484, _258486, _258488, _258490, _258492]))], (832 ^ _225231) ^ [] : [-(leq(825 ^ [_258482, _258484, _258486, _258488, _258490, _258492], _258488))], (834 ^ _225231) ^ [] : [-(leq(826 ^ [_258482, _258484, _258486, _258488, _258490, _258492], _258486))], (836 ^ _225231) ^ [] : [a_select3(_258484, 825 ^ [_258482, _258484, _258486, _258488, _258490, _258492], 826 ^ [_258482, _258484, _258486, _258488, _258490, _258492]) = _258482]], leq(n0, _258492), leq(_258492, _258488), leq(n0, _258490), leq(_258490, _258486)], (854 ^ _225231) ^ [_259824, _259826, _259828] : [-(a_select2(tptp_update2(_259828, _259826, _259824), _259826) = _259824)], (856 ^ _225231) ^ [_259984, _259986, _259988, _259990, _259992] : [-(a_select2(tptp_update2(_259988, _259992, _259984), _259990) = _259986), -(_259992 = _259990), a_select2(_259988, _259990) = _259986], (885 ^ _225231) ^ [] : [-(true)], (887 ^ _225231) ^ [] : [def = use], (866 ^ _225231) ^ [_260364, _260366, _260368, _260370] : [-(a_select2(tptp_update2(_260366, _260368, _260364), _260370) = _260364), 870 ^ _225231 : [(871 ^ _225231) ^ [] : [-(leq(n0, 869 ^ [_260364, _260366, _260368, _260370]))], (873 ^ _225231) ^ [] : [-(leq(869 ^ [_260364, _260366, _260368, _260370], _260368))], (875 ^ _225231) ^ [] : [a_select2(_260366, 869 ^ [_260364, _260366, _260368, _260370]) = _260364]], leq(n0, _260370), leq(_260370, _260368)]], input).
% 0.36/1.37  ncf('1',plain,[n0 = 1074 ^ [], n4 = 1075 ^ []],start(1091 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(n0 = 1074 ^ [])],extension(1283 ^ 1)).
% 0.36/1.37  ncf('1.2',plain,[-(n4 = 1075 ^ [])],extension(1289 ^ 1)).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------