%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV059+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:19:51 EDT 2023

% Result   : Theorem 0.38s 1.39s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV059+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n017.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 01:44:15 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.38/1.39  
% 0.38/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  ncf(matrix, plain, [(1041 ^ _196183) ^ [] : [-(geq(pv72, tptp_float_0_001))], (1043 ^ _196183) ^ [] : [1044 ^ _196183 : [(1045 ^ _196183) ^ [] : [gt(plus(n1, loopcounter), n1)], (1047 ^ _196183) ^ [] : [true]], 1048 ^ _196183 : [(1049 ^ _196183) ^ [] : [-(gt(plus(n1, loopcounter), n1))], (1051 ^ _196183) ^ [] : [true]]], (2 ^ _196183) ^ [_196327] : [-(_196327 = _196327)], (4 ^ _196183) ^ [_196434, _196436] : [_196436 = _196434, -(_196434 = _196436)], (10 ^ _196183) ^ [_196638, _196640, _196642] : [-(_196642 = _196638), _196642 = _196640, _196640 = _196638], (20 ^ _196183) ^ [_196979, _196981, _196983, _196985] : [-(lt(_196983, _196979)), lt(_196985, _196981), _196985 = _196983, _196981 = _196979], (34 ^ _196183) ^ [_197423, _197425, _197427, _197429] : [-(leq(_197427, _197423)), leq(_197429, _197425), _197429 = _197427, _197425 = _197423], (48 ^ _196183) ^ [_197867, _197869, _197871, _197873] : [-(geq(_197871, _197867)), geq(_197873, _197869), _197873 = _197871, _197869 = _197867], (62 ^ _196183) ^ [_198291, _198293, _198295, _198297] : [-(gt(_198295, _198291)), gt(_198297, _198293), _198297 = _198295, _198293 = _198291], (76 ^ _196183) ^ [_198747, _198749, _198751, _198753] : [-(uniform_int_rnd(_198753, _198749) = uniform_int_rnd(_198751, _198747)), _198753 = _198751, _198749 = _198747], (86 ^ _196183) ^ [_199106, _199108, _199110, _199112] : [-(tptp_const_array1(_199112, _199108) = tptp_const_array1(_199110, _199106)), _199112 = _199110, _199108 = _199106], (96 ^ _196183) ^ [_199493, _199495, _199497, _199499, _199501, _199503] : [-(tptp_const_array2(_199503, _199499, _199495) = tptp_const_array2(_199501, _199497, _199493)), _199503 = _199501, _199499 = _199497, _199495 = _199493], (110 ^ _196183) ^ [_199981, _199983, _199985, _199987] : [-(dim(_199987, _199983) = dim(_199985, _199981)), _199987 = _199985, _199983 = _199981], (120 ^ _196183) ^ [_200312, _200314] : [_200314 = _200312, -(inv(_200314) = inv(_200312))], (126 ^ _196183) ^ [_200558, _200560, _200562, _200564] : [-(tptp_msub(_200564, _200560) = tptp_msub(_200562, _200558)), _200564 = _200562, _200560 = _200558], (136 ^ _196183) ^ [_200917, _200919, _200921, _200923] : [-(tptp_madd(_200923, _200919) = tptp_madd(_200921, _200917)), _200923 = _200921, _200919 = _200917], (146 ^ _196183) ^ [_201276, _201278, _201280, _201282] : [-(tptp_mmul(_201282, _201278) = tptp_mmul(_201280, _201276)), _201282 = _201280, _201278 = _201276], (156 ^ _196183) ^ [_201607, _201609] : [_201609 = _201607, -(trans(_201609) = trans(_201607))], (162 ^ _196183) ^ [_201881, _201883, _201885, _201887, _201889, _201891] : [-(sum(_201891, _201887, _201883) = sum(_201889, _201885, _201881)), _201891 = _201889, _201887 = _201885, _201883 = _201881], (176 ^ _196183) ^ [_202341, _202343] : [_202343 = _202341, -(pred(_202343) = pred(_202341))], (182 ^ _196183) ^ [_202587, _202589, _202591, _202593] : [-(minus(_202593, _202589) = minus(_202591, _202587)), _202593 = _202591, _202589 = _202587], (192 ^ _196183) ^ [_202974, _202976, _202978, _202980, _202982, _202984] : [-(a_select3(_202984, _202980, _202976) = a_select3(_202982, _202978, _202974)), _202984 = _202982, _202980 = _202978, _202976 = _202974], (206 ^ _196183) ^ [_203518, _203520, _203522, _203524, _203526, _203528, _203530, _203532] : [-(tptp_update3(_203532, _203528, _203524, _203520) = tptp_update3(_203530, _203526, _203522, _203518)), _203532 = _203530, _203528 = _203526, _203524 = _203522, _203520 = _203518], (224 ^ _196183) ^ [_204151, _204153, _204155, _204157] : [-(a_select2(_204157, _204153) = a_select2(_204155, _204151)), _204157 = _204155, _204153 = _204151], (234 ^ _196183) ^ [_204538, _204540, _204542, _204544, _204546, _204548] : [-(tptp_update2(_204548, _204544, _204540) = tptp_update2(_204546, _204542, _204538)), _204548 = _204546, _204544 = _204542, _204540 = _204538], (248 ^ _196183) ^ [_204998, _205000] : [_205000 = _204998, -(succ(_205000) = succ(_204998))], (254 ^ _196183) ^ [_205224, _205226, _205228, _205230] : [-(plus(_205230, _205226) = plus(_205228, _205224)), _205230 = _205228, _205226 = _205224], (869 ^ _196183) ^ [] : [-(gt(n5, n4))], (871 ^ _196183) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _196183) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _196183) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _196183) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _196183) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _196183) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _196183) ^ [] : [-(gt(n4, n0))], (885 ^ _196183) ^ [] : [-(gt(n5, n0))], (887 ^ _196183) ^ [] : [-(gt(n1, n0))], (889 ^ _196183) ^ [] : [-(gt(n2, n0))], (891 ^ _196183) ^ [] : [-(gt(n3, n0))], (893 ^ _196183) ^ [] : [-(gt(n4, n1))], (895 ^ _196183) ^ [] : [-(gt(n5, n1))], (897 ^ _196183) ^ [] : [-(gt(n2, n1))], (899 ^ _196183) ^ [] : [-(gt(n3, n1))], (901 ^ _196183) ^ [] : [-(gt(n4, n2))], (903 ^ _196183) ^ [] : [-(gt(n5, n2))], (905 ^ _196183) ^ [] : [-(gt(n3, n2))], (907 ^ _196183) ^ [] : [-(gt(n4, n3))], (909 ^ _196183) ^ [] : [-(gt(n5, n3))], (911 ^ _196183) ^ [_232693] : [leq(n0, _232693), leq(_232693, n4), -(_232693 = n0), -(_232693 = n1), -(_232693 = n2), -(_232693 = n3), -(_232693 = n4)], (937 ^ _196183) ^ [_233314] : [leq(n0, _233314), leq(_233314, n5), -(_233314 = n0), -(_233314 = n1), -(_233314 = n2), -(_233314 = n3), -(_233314 = n4), -(_233314 = n5)], (967 ^ _196183) ^ [_234021] : [-(_234021 = n0), leq(n0, _234021), leq(_234021, n0)], (977 ^ _196183) ^ [_234296] : [leq(n0, _234296), leq(_234296, n1), -(_234296 = n0), -(_234296 = n1)], (991 ^ _196183) ^ [_234659] : [leq(n0, _234659), leq(_234659, n2), -(_234659 = n0), -(_234659 = n1), -(_234659 = n2)], (1031 ^ _196183) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _196183) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _196183) ^ [] : [-(succ(n0) = n1)], (1037 ^ _196183) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _196183) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _196183) ^ [_235108] : [leq(n0, _235108), leq(_235108, n3), -(_235108 = n0), -(_235108 = n1), -(_235108 = n2), -(_235108 = n3)], (264 ^ _196183) ^ [_205655, _205657] : [-(gt(_205657, _205655)), -(gt(_205655, _205657)), -(_205657 = _205655)], (274 ^ _196183) ^ [_205970, _205972, _205974] : [-(gt(_205974, _205970)), gt(_205974, _205972), gt(_205972, _205970)], (284 ^ _196183) ^ [_206249] : [gt(_206249, _206249)], (286 ^ _196183) ^ [_206327] : [-(leq(_206327, _206327))], (288 ^ _196183) ^ [_206448, _206450, _206452] : [-(leq(_206452, _206448)), leq(_206452, _206450), leq(_206450, _206448)], (298 ^ _196183) ^ [_206786, _206788] : [lt(_206788, _206786), -(gt(_206786, _206788))], (304 ^ _196183) ^ [_206948, _206950] : [gt(_206948, _206950), -(lt(_206950, _206948))], (310 ^ _196183) ^ [_207189, _207191] : [geq(_207191, _207189), -(leq(_207189, _207191))], (316 ^ _196183) ^ [_207351, _207353] : [leq(_207351, _207353), -(geq(_207353, _207351))], (322 ^ _196183) ^ [_207563, _207565] : [gt(_207563, _207565), -(leq(_207565, _207563))], (328 ^ _196183) ^ [_207773, _207775] : [-(gt(_207773, _207775)), leq(_207775, _207773), -(_207775 = _207773)], (338 ^ _196183) ^ [_208104, _208106] : [leq(_208106, pred(_208104)), -(gt(_208104, _208106))], (344 ^ _196183) ^ [_208270, _208272] : [gt(_208270, _208272), -(leq(_208272, pred(_208270)))], (350 ^ _196183) ^ [_208457] : [-(gt(succ(_208457), _208457))], (352 ^ _196183) ^ [_208566, _208568] : [leq(_208568, _208566), -(leq(_208568, succ(_208566)))], (358 ^ _196183) ^ [_208809, _208811] : [leq(_208811, _208809), -(gt(succ(_208809), _208811))], (364 ^ _196183) ^ [_208975, _208977] : [gt(succ(_208975), _208977), -(leq(_208977, _208975))], (370 ^ _196183) ^ [_209191, _209193] : [leq(n0, _209193), -(leq(uniform_int_rnd(_209191, _209193), _209193))], (376 ^ _196183) ^ [_209407, _209409] : [leq(n0, _209409), -(leq(n0, uniform_int_rnd(_209407, _209409)))], (382 ^ _196183) ^ [_209651, _209653, _209655, _209657] : [-(a_select2(tptp_const_array1(dim(_209655, _209653), _209651), _209657) = _209651), leq(_209655, _209657), leq(_209657, _209653)], (392 ^ _196183) ^ [_210058, _210060, _210062, _210064, _210066, _210068, _210070] : [-(a_select3(tptp_const_array2(dim(_210068, _210066), dim(_210062, _210060), _210058), _210070, _210064) = _210058), leq(_210068, _210070), leq(_210070, _210066), leq(_210062, _210064), leq(_210064, _210060)], (410 ^ _196183) ^ [_210653, _210655] : [413 ^ _196183 : [(414 ^ _196183) ^ [] : [-(leq(n0, 411 ^ [_210653, _210655]))], (416 ^ _196183) ^ [] : [-(leq(411 ^ [_210653, _210655], _210653))], (418 ^ _196183) ^ [] : [-(leq(n0, 412 ^ [_210653, _210655]))], (420 ^ _196183) ^ [] : [-(leq(412 ^ [_210653, _210655], _210653))], (422 ^ _196183) ^ [] : [a_select3(_210655, 411 ^ [_210653, _210655], 412 ^ [_210653, _210655]) = a_select3(_210655, 412 ^ [_210653, _210655], 411 ^ [_210653, _210655])]], 423 ^ _196183 : [(424 ^ _196183) ^ [_211410, _211412] : [-(a_select3(trans(_210655), _211412, _211410) = a_select3(trans(_210655), _211410, _211412)), leq(n0, _211412), leq(_211412, _210653), leq(n0, _211410), leq(_211410, _210653)]]], (442 ^ _196183) ^ [_211957, _211959] : [445 ^ _196183 : [(446 ^ _196183) ^ [] : [-(leq(n0, 443 ^ [_211957, _211959]))], (448 ^ _196183) ^ [] : [-(leq(443 ^ [_211957, _211959], _211957))], (450 ^ _196183) ^ [] : [-(leq(n0, 444 ^ [_211957, _211959]))], (452 ^ _196183) ^ [] : [-(leq(444 ^ [_211957, _211959], _211957))], (454 ^ _196183) ^ [] : [a_select3(_211959, 443 ^ [_211957, _211959], 444 ^ [_211957, _211959]) = a_select3(_211959, 444 ^ [_211957, _211959], 443 ^ [_211957, _211959])]], 455 ^ _196183 : [(456 ^ _196183) ^ [_212714, _212716] : [-(a_select3(inv(_211959), _212716, _212714) = a_select3(inv(_211959), _212714, _212716)), leq(n0, _212716), leq(_212716, _211957), leq(n0, _212714), leq(_212714, _211957)]]], (474 ^ _196183) ^ [_213261, _213263] : [477 ^ _196183 : [(478 ^ _196183) ^ [] : [-(leq(n0, 475 ^ [_213261, _213263]))], (480 ^ _196183) ^ [] : [-(leq(475 ^ [_213261, _213263], _213261))], (482 ^ _196183) ^ [] : [-(leq(n0, 476 ^ [_213261, _213263]))], (484 ^ _196183) ^ [] : [-(leq(476 ^ [_213261, _213263], _213261))], (486 ^ _196183) ^ [] : [a_select3(_213263, 475 ^ [_213261, _213263], 476 ^ [_213261, _213263]) = a_select3(_213263, 476 ^ [_213261, _213263], 475 ^ [_213261, _213263])]], 487 ^ _196183 : [(488 ^ _196183) ^ [_214074, _214076, _214078, _214080] : [-(a_select3(tptp_update3(_213263, _214076, _214076, _214074), _214080, _214078) = a_select3(tptp_update3(_213263, _214076, _214076, _214074), _214078, _214080)), leq(n0, _214080), leq(_214080, _213261), leq(n0, _214078), leq(_214078, _213261), leq(n0, _214076), leq(_214076, _213261)]]], (514 ^ _196183) ^ [_214893, _214895, _214897] : [519 ^ _196183 : [(520 ^ _196183) ^ [] : [-(leq(n0, 517 ^ [_214893, _214895, _214897]))], (522 ^ _196183) ^ [] : [-(leq(517 ^ [_214893, _214895, _214897], _214893))], (524 ^ _196183) ^ [] : [-(leq(n0, 518 ^ [_214893, _214895, _214897]))], (526 ^ _196183) ^ [] : [-(leq(518 ^ [_214893, _214895, _214897], _214893))], (528 ^ _196183) ^ [] : [a_select3(_214897, 517 ^ [_214893, _214895, _214897], 518 ^ [_214893, _214895, _214897]) = a_select3(_214897, 518 ^ [_214893, _214895, _214897], 517 ^ [_214893, _214895, _214897])]], 531 ^ _196183 : [(532 ^ _196183) ^ [] : [-(leq(n0, 529 ^ [_214893, _214895, _214897]))], (534 ^ _196183) ^ [] : [-(leq(529 ^ [_214893, _214895, _214897], _214893))], (536 ^ _196183) ^ [] : [-(leq(n0, 530 ^ [_214893, _214895, _214897]))], (538 ^ _196183) ^ [] : [-(leq(530 ^ [_214893, _214895, _214897], _214893))], (540 ^ _196183) ^ [] : [a_select3(_214895, 529 ^ [_214893, _214895, _214897], 530 ^ [_214893, _214895, _214897]) = a_select3(_214895, 530 ^ [_214893, _214895, _214897], 529 ^ [_214893, _214895, _214897])]], 541 ^ _196183 : [(542 ^ _196183) ^ [_216402, _216404] : [-(a_select3(tptp_madd(_214897, _214895), _216404, _216402) = a_select3(tptp_madd(_214897, _214895), _216402, _216404)), leq(n0, _216404), leq(_216404, _214893), leq(n0, _216402), leq(_216402, _214893)]]], (560 ^ _196183) ^ [_216988, _216990, _216992] : [565 ^ _196183 : [(566 ^ _196183) ^ [] : [-(leq(n0, 563 ^ [_216988, _216990, _216992]))], (568 ^ _196183) ^ [] : [-(leq(563 ^ [_216988, _216990, _216992], _216988))], (570 ^ _196183) ^ [] : [-(leq(n0, 564 ^ [_216988, _216990, _216992]))], (572 ^ _196183) ^ [] : [-(leq(564 ^ [_216988, _216990, _216992], _216988))], (574 ^ _196183) ^ [] : [a_select3(_216992, 563 ^ [_216988, _216990, _216992], 564 ^ [_216988, _216990, _216992]) = a_select3(_216992, 564 ^ [_216988, _216990, _216992], 563 ^ [_216988, _216990, _216992])]], 577 ^ _196183 : [(578 ^ _196183) ^ [] : [-(leq(n0, 575 ^ [_216988, _216990, _216992]))], (580 ^ _196183) ^ [] : [-(leq(575 ^ [_216988, _216990, _216992], _216988))], (582 ^ _196183) ^ [] : [-(leq(n0, 576 ^ [_216988, _216990, _216992]))], (584 ^ _196183) ^ [] : [-(leq(576 ^ [_216988, _216990, _216992], _216988))], (586 ^ _196183) ^ [] : [a_select3(_216990, 575 ^ [_216988, _216990, _216992], 576 ^ [_216988, _216990, _216992]) = a_select3(_216990, 576 ^ [_216988, _216990, _216992], 575 ^ [_216988, _216990, _216992])]], 587 ^ _196183 : [(588 ^ _196183) ^ [_218497, _218499] : [-(a_select3(tptp_msub(_216992, _216990), _218499, _218497) = a_select3(tptp_msub(_216992, _216990), _218497, _218499)), leq(n0, _218499), leq(_218499, _216988), leq(n0, _218497), leq(_218497, _216988)]]], (606 ^ _196183) ^ [_219083, _219085, _219087] : [609 ^ _196183 : [(610 ^ _196183) ^ [] : [-(leq(n0, 607 ^ [_219083, _219085, _219087]))], (612 ^ _196183) ^ [] : [-(leq(607 ^ [_219083, _219085, _219087], _219083))], (614 ^ _196183) ^ [] : [-(leq(n0, 608 ^ [_219083, _219085, _219087]))], (616 ^ _196183) ^ [] : [-(leq(608 ^ [_219083, _219085, _219087], _219083))], (618 ^ _196183) ^ [] : [a_select3(_219085, 607 ^ [_219083, _219085, _219087], 608 ^ [_219083, _219085, _219087]) = a_select3(_219085, 608 ^ [_219083, _219085, _219087], 607 ^ [_219083, _219085, _219087])]], 619 ^ _196183 : [(620 ^ _196183) ^ [_219896, _219898] : [-(a_select3(tptp_mmul(_219087, tptp_mmul(_219085, trans(_219087))), _219898, _219896) = a_select3(tptp_mmul(_219087, tptp_mmul(_219085, trans(_219087))), _219896, _219898)), leq(n0, _219898), leq(_219898, _219083), leq(n0, _219896), leq(_219896, _219083)]]], (638 ^ _196183) ^ [_220515, _220517, _220519, _220521] : [641 ^ _196183 : [(642 ^ _196183) ^ [] : [-(leq(n0, 639 ^ [_220515, _220517, _220519, _220521]))], (644 ^ _196183) ^ [] : [-(leq(639 ^ [_220515, _220517, _220519, _220521], _220515))], (646 ^ _196183) ^ [] : [-(leq(n0, 640 ^ [_220515, _220517, _220519, _220521]))], (648 ^ _196183) ^ [] : [-(leq(640 ^ [_220515, _220517, _220519, _220521], _220515))], (650 ^ _196183) ^ [] : [a_select3(_220519, 639 ^ [_220515, _220517, _220519, _220521], 640 ^ [_220515, _220517, _220519, _220521]) = a_select3(_220519, 640 ^ [_220515, _220517, _220519, _220521], 639 ^ [_220515, _220517, _220519, _220521])]], 651 ^ _196183 : [(652 ^ _196183) ^ [_221372, _221374] : [-(a_select3(tptp_mmul(_220521, tptp_mmul(_220519, trans(_220521))), _221374, _221372) = a_select3(tptp_mmul(_220521, tptp_mmul(_220519, trans(_220521))), _221372, _221374)), leq(n0, _221374), leq(_221374, _220517), leq(n0, _221372), leq(_221372, _220517)]]], (670 ^ _196183) ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081] : [675 ^ _196183 : [(676 ^ _196183) ^ [] : [-(leq(n0, 673 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (678 ^ _196183) ^ [] : [-(leq(673 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222067))], (680 ^ _196183) ^ [] : [-(leq(n0, 674 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (682 ^ _196183) ^ [] : [-(leq(674 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222067))], (684 ^ _196183) ^ [] : [a_select3(_222075, 673 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 674 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]) = a_select3(_222075, 674 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 673 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081])]], 689 ^ _196183 : [(690 ^ _196183) ^ [] : [-(leq(n0, 687 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (692 ^ _196183) ^ [] : [-(leq(687 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222069))], (694 ^ _196183) ^ [] : [-(leq(n0, 688 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (696 ^ _196183) ^ [] : [-(leq(688 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222069))], (698 ^ _196183) ^ [] : [a_select3(_222081, 687 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 688 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]) = a_select3(_222081, 688 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 687 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081])]], 701 ^ _196183 : [(702 ^ _196183) ^ [] : [-(leq(n0, 699 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (704 ^ _196183) ^ [] : [-(leq(699 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222069))], (706 ^ _196183) ^ [] : [-(leq(n0, 700 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]))], (708 ^ _196183) ^ [] : [-(leq(700 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], _222069))], (710 ^ _196183) ^ [] : [a_select3(_222071, 699 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 700 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081]) = a_select3(_222071, 700 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081], 699 ^ [_222067, _222069, _222071, _222073, _222075, _222077, _222079, _222081])]], 711 ^ _196183 : [(712 ^ _196183) ^ [_224995, _224997] : [-(a_select3(tptp_madd(_222081, tptp_mmul(_222079, tptp_mmul(tptp_madd(tptp_mmul(_222077, tptp_mmul(_222075, trans(_222077))), tptp_mmul(_222073, tptp_mmul(_222071, trans(_222073)))), trans(_222079)))), _224997, _224995) = a_select3(tptp_madd(_222081, tptp_mmul(_222079, tptp_mmul(tptp_madd(tptp_mmul(_222077, tptp_mmul(_222075, trans(_222077))), tptp_mmul(_222073, tptp_mmul(_222071, trans(_222073)))), trans(_222079)))), _224995, _224997)), leq(n0, _224997), leq(_224997, _222069), leq(n0, _224995), leq(_224995, _222069)]]], (730 ^ _196183) ^ [_225748] : [-(sum(n0, tptp_minus_1, _225748) = n0)], (732 ^ _196183) ^ [_225830] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _225830))], (734 ^ _196183) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196183) ^ [_225965] : [-(plus(_225965, n1) = succ(_225965))], (738 ^ _196183) ^ [_226048] : [-(plus(n1, _226048) = succ(_226048))], (740 ^ _196183) ^ [_226131] : [-(plus(_226131, n2) = succ(succ(_226131)))], (742 ^ _196183) ^ [_226216] : [-(plus(n2, _226216) = succ(succ(_226216)))], (744 ^ _196183) ^ [_226301] : [-(plus(_226301, n3) = succ(succ(succ(_226301))))], (746 ^ _196183) ^ [_226388] : [-(plus(n3, _226388) = succ(succ(succ(_226388))))], (748 ^ _196183) ^ [_226475] : [-(plus(_226475, n4) = succ(succ(succ(succ(_226475)))))], (750 ^ _196183) ^ [_226564] : [-(plus(n4, _226564) = succ(succ(succ(succ(_226564)))))], (752 ^ _196183) ^ [_226653] : [-(plus(_226653, n5) = succ(succ(succ(succ(succ(_226653))))))], (754 ^ _196183) ^ [_226744] : [-(plus(n5, _226744) = succ(succ(succ(succ(succ(_226744))))))], (756 ^ _196183) ^ [_226835] : [-(minus(_226835, n1) = pred(_226835))], (758 ^ _196183) ^ [_226918] : [-(pred(succ(_226918)) = _226918)], (760 ^ _196183) ^ [_227000] : [-(succ(pred(_227000)) = _227000)], (762 ^ _196183) ^ [_227140, _227142] : [leq(succ(_227142), succ(_227140)), -(leq(_227142, _227140))], (768 ^ _196183) ^ [_227310, _227312] : [leq(_227312, _227310), -(leq(succ(_227312), succ(_227310)))], (774 ^ _196183) ^ [_227530, _227532] : [leq(succ(_227532), _227530), -(gt(_227530, _227532))], (780 ^ _196183) ^ [_227744, _227746] : [leq(minus(_227746, _227744), _227746), -(leq(n0, _227744))], (786 ^ _196183) ^ [_227973, _227975, _227977, _227979] : [-(a_select3(tptp_update3(_227979, _227977, _227975, _227973), _227977, _227975) = _227973)], (788 ^ _196183) ^ [_228165, _228167, _228169, _228171, _228173, _228175, _228177] : [-(a_select3(tptp_update3(_228169, _228177, _228175, _228165), _228173, _228171) = _228167), -(_228177 = _228173), _228175 = _228171, a_select3(_228169, _228173, _228171) = _228167], (802 ^ _196183) ^ [_228708, _228710, _228712, _228714, _228716, _228718] : [-(a_select3(tptp_update3(_228710, _228714, _228712, _228708), _228718, _228716) = _228708), 807 ^ _196183 : [(808 ^ _196183) ^ [] : [-(leq(n0, 805 ^ [_228708, _228710, _228712, _228714, _228716, _228718]))], (810 ^ _196183) ^ [] : [-(leq(n0, 806 ^ [_228708, _228710, _228712, _228714, _228716, _228718]))], (812 ^ _196183) ^ [] : [-(leq(805 ^ [_228708, _228710, _228712, _228714, _228716, _228718], _228714))], (814 ^ _196183) ^ [] : [-(leq(806 ^ [_228708, _228710, _228712, _228714, _228716, _228718], _228712))], (816 ^ _196183) ^ [] : [a_select3(_228710, 805 ^ [_228708, _228710, _228712, _228714, _228716, _228718], 806 ^ [_228708, _228710, _228712, _228714, _228716, _228718]) = _228708]], leq(n0, _228718), leq(_228718, _228714), leq(n0, _228716), leq(_228716, _228712)], (834 ^ _196183) ^ [_230050, _230052, _230054] : [-(a_select2(tptp_update2(_230054, _230052, _230050), _230052) = _230050)], (836 ^ _196183) ^ [_230210, _230212, _230214, _230216, _230218] : [-(a_select2(tptp_update2(_230214, _230218, _230210), _230216) = _230212), -(_230218 = _230216), a_select2(_230214, _230216) = _230212], (865 ^ _196183) ^ [] : [-(true)], (867 ^ _196183) ^ [] : [def = use], (846 ^ _196183) ^ [_230590, _230592, _230594, _230596] : [-(a_select2(tptp_update2(_230592, _230594, _230590), _230596) = _230590), 850 ^ _196183 : [(851 ^ _196183) ^ [] : [-(leq(n0, 849 ^ [_230590, _230592, _230594, _230596]))], (853 ^ _196183) ^ [] : [-(leq(849 ^ [_230590, _230592, _230594, _230596], _230594))], (855 ^ _196183) ^ [] : [a_select2(_230592, 849 ^ [_230590, _230592, _230594, _230596]) = _230590]], leq(n0, _230596), leq(_230596, _230594)]], input).
% 0.38/1.39  ncf('1',plain,[1047 : true, 1051 : true],start(1043 ^ 0)).
% 0.38/1.39  ncf('1.1',plain,[-(true)],extension(865 ^ 3)).
% 0.38/1.39  ncf('1.2',plain,[-(true)],extension(865 ^ 3)).
% 0.38/1.39  %-----------------------------------------------------
% 0.38/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------