%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV054+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 12:19:50 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV054+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n013.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 02:10:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(1055 ^ _196997) ^ [] : [-(leq(n0, pv10))], (1057 ^ _196997) ^ [] : [-(leq(pv10, minus(n135300, n1)))], (1059 ^ _196997) ^ [] : [true], (2 ^ _196997) ^ [_197141] : [-(_197141 = _197141)], (4 ^ _196997) ^ [_197248, _197250] : [_197250 = _197248, -(_197248 = _197250)], (10 ^ _196997) ^ [_197452, _197454, _197456] : [-(_197456 = _197452), _197456 = _197454, _197454 = _197452], (20 ^ _196997) ^ [_197793, _197795, _197797, _197799] : [-(lt(_197797, _197793)), lt(_197799, _197795), _197799 = _197797, _197795 = _197793], (34 ^ _196997) ^ [_198237, _198239, _198241, _198243] : [-(geq(_198241, _198237)), geq(_198243, _198239), _198243 = _198241, _198239 = _198237], (48 ^ _196997) ^ [_198681, _198683, _198685, _198687] : [-(gt(_198685, _198681)), gt(_198687, _198683), _198687 = _198685, _198683 = _198681], (62 ^ _196997) ^ [_199105, _199107, _199109, _199111] : [-(leq(_199109, _199105)), leq(_199111, _199107), _199111 = _199109, _199107 = _199105], (76 ^ _196997) ^ [_199561, _199563, _199565, _199567] : [-(uniform_int_rnd(_199567, _199563) = uniform_int_rnd(_199565, _199561)), _199567 = _199565, _199563 = _199561], (86 ^ _196997) ^ [_199920, _199922, _199924, _199926] : [-(tptp_const_array1(_199926, _199922) = tptp_const_array1(_199924, _199920)), _199926 = _199924, _199922 = _199920], (96 ^ _196997) ^ [_200307, _200309, _200311, _200313, _200315, _200317] : [-(tptp_const_array2(_200317, _200313, _200309) = tptp_const_array2(_200315, _200311, _200307)), _200317 = _200315, _200313 = _200311, _200309 = _200307], (110 ^ _196997) ^ [_200795, _200797, _200799, _200801] : [-(dim(_200801, _200797) = dim(_200799, _200795)), _200801 = _200799, _200797 = _200795], (120 ^ _196997) ^ [_201126, _201128] : [_201128 = _201126, -(inv(_201128) = inv(_201126))], (126 ^ _196997) ^ [_201372, _201374, _201376, _201378] : [-(tptp_msub(_201378, _201374) = tptp_msub(_201376, _201372)), _201378 = _201376, _201374 = _201372], (136 ^ _196997) ^ [_201731, _201733, _201735, _201737] : [-(tptp_madd(_201737, _201733) = tptp_madd(_201735, _201731)), _201737 = _201735, _201733 = _201731], (146 ^ _196997) ^ [_202090, _202092, _202094, _202096] : [-(tptp_mmul(_202096, _202092) = tptp_mmul(_202094, _202090)), _202096 = _202094, _202092 = _202090], (156 ^ _196997) ^ [_202421, _202423] : [_202423 = _202421, -(trans(_202423) = trans(_202421))], (162 ^ _196997) ^ [_202695, _202697, _202699, _202701, _202703, _202705] : [-(sum(_202705, _202701, _202697) = sum(_202703, _202699, _202695)), _202705 = _202703, _202701 = _202699, _202697 = _202695], (176 ^ _196997) ^ [_203183, _203185, _203187, _203189] : [-(plus(_203189, _203185) = plus(_203187, _203183)), _203189 = _203187, _203185 = _203183], (186 ^ _196997) ^ [_203514, _203516] : [_203516 = _203514, -(pred(_203516) = pred(_203514))], (192 ^ _196997) ^ [_203788, _203790, _203792, _203794, _203796, _203798] : [-(a_select3(_203798, _203794, _203790) = a_select3(_203796, _203792, _203788)), _203798 = _203796, _203794 = _203792, _203790 = _203788], (206 ^ _196997) ^ [_204332, _204334, _204336, _204338, _204340, _204342, _204344, _204346] : [-(tptp_update3(_204346, _204342, _204338, _204334) = tptp_update3(_204344, _204340, _204336, _204332)), _204346 = _204344, _204342 = _204340, _204338 = _204336, _204334 = _204332], (224 ^ _196997) ^ [_204965, _204967, _204969, _204971] : [-(a_select2(_204971, _204967) = a_select2(_204969, _204965)), _204971 = _204969, _204967 = _204965], (234 ^ _196997) ^ [_205352, _205354, _205356, _205358, _205360, _205362] : [-(tptp_update2(_205362, _205358, _205354) = tptp_update2(_205360, _205356, _205352)), _205362 = _205360, _205358 = _205356, _205354 = _205352], (248 ^ _196997) ^ [_205812, _205814] : [_205814 = _205812, -(succ(_205814) = succ(_205812))], (254 ^ _196997) ^ [_206038, _206040, _206042, _206044] : [-(minus(_206044, _206040) = minus(_206042, _206038)), _206044 = _206042, _206040 = _206038], (869 ^ _196997) ^ [] : [-(gt(n5, n4))], (871 ^ _196997) ^ [] : [-(gt(n135300, n4))], (873 ^ _196997) ^ [] : [-(gt(n135300, n5))], (875 ^ _196997) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _196997) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _196997) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _196997) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _196997) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _196997) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _196997) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _196997) ^ [] : [-(gt(n4, n0))], (891 ^ _196997) ^ [] : [-(gt(n5, n0))], (893 ^ _196997) ^ [] : [-(gt(n135300, n0))], (895 ^ _196997) ^ [] : [-(gt(n1, n0))], (897 ^ _196997) ^ [] : [-(gt(n2, n0))], (899 ^ _196997) ^ [] : [-(gt(n3, n0))], (901 ^ _196997) ^ [] : [-(gt(n4, n1))], (903 ^ _196997) ^ [] : [-(gt(n5, n1))], (905 ^ _196997) ^ [] : [-(gt(n135300, n1))], (907 ^ _196997) ^ [] : [-(gt(n2, n1))], (909 ^ _196997) ^ [] : [-(gt(n3, n1))], (911 ^ _196997) ^ [] : [-(gt(n4, n2))], (913 ^ _196997) ^ [] : [-(gt(n5, n2))], (915 ^ _196997) ^ [] : [-(gt(n135300, n2))], (917 ^ _196997) ^ [] : [-(gt(n3, n2))], (919 ^ _196997) ^ [] : [-(gt(n4, n3))], (921 ^ _196997) ^ [] : [-(gt(n5, n3))], (923 ^ _196997) ^ [] : [-(gt(n135300, n3))], (925 ^ _196997) ^ [_233878] : [leq(n0, _233878), leq(_233878, n4), -(_233878 = n0), -(_233878 = n1), -(_233878 = n2), -(_233878 = n3), -(_233878 = n4)], (951 ^ _196997) ^ [_234499] : [leq(n0, _234499), leq(_234499, n5), -(_234499 = n0), -(_234499 = n1), -(_234499 = n2), -(_234499 = n3), -(_234499 = n4), -(_234499 = n5)], (981 ^ _196997) ^ [_235206] : [-(_235206 = n0), leq(n0, _235206), leq(_235206, n0)], (991 ^ _196997) ^ [_235481] : [leq(n0, _235481), leq(_235481, n1), -(_235481 = n0), -(_235481 = n1)], (1005 ^ _196997) ^ [_235844] : [leq(n0, _235844), leq(_235844, n2), -(_235844 = n0), -(_235844 = n1), -(_235844 = n2)], (1045 ^ _196997) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _196997) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _196997) ^ [] : [-(succ(n0) = n1)], (1051 ^ _196997) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _196997) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _196997) ^ [_236293] : [leq(n0, _236293), leq(_236293, n3), -(_236293 = n0), -(_236293 = n1), -(_236293 = n2), -(_236293 = n3)], (264 ^ _196997) ^ [_206469, _206471] : [-(gt(_206471, _206469)), -(gt(_206469, _206471)), -(_206471 = _206469)], (274 ^ _196997) ^ [_206784, _206786, _206788] : [-(gt(_206788, _206784)), gt(_206788, _206786), gt(_206786, _206784)], (284 ^ _196997) ^ [_207063] : [gt(_207063, _207063)], (286 ^ _196997) ^ [_207141] : [-(leq(_207141, _207141))], (288 ^ _196997) ^ [_207262, _207264, _207266] : [-(leq(_207266, _207262)), leq(_207266, _207264), leq(_207264, _207262)], (298 ^ _196997) ^ [_207600, _207602] : [lt(_207602, _207600), -(gt(_207600, _207602))], (304 ^ _196997) ^ [_207762, _207764] : [gt(_207762, _207764), -(lt(_207764, _207762))], (310 ^ _196997) ^ [_208003, _208005] : [geq(_208005, _208003), -(leq(_208003, _208005))], (316 ^ _196997) ^ [_208165, _208167] : [leq(_208165, _208167), -(geq(_208167, _208165))], (322 ^ _196997) ^ [_208377, _208379] : [gt(_208377, _208379), -(leq(_208379, _208377))], (328 ^ _196997) ^ [_208587, _208589] : [-(gt(_208587, _208589)), leq(_208589, _208587), -(_208589 = _208587)], (338 ^ _196997) ^ [_208918, _208920] : [leq(_208920, pred(_208918)), -(gt(_208918, _208920))], (344 ^ _196997) ^ [_209084, _209086] : [gt(_209084, _209086), -(leq(_209086, pred(_209084)))], (350 ^ _196997) ^ [_209271] : [-(gt(succ(_209271), _209271))], (352 ^ _196997) ^ [_209380, _209382] : [leq(_209382, _209380), -(leq(_209382, succ(_209380)))], (358 ^ _196997) ^ [_209623, _209625] : [leq(_209625, _209623), -(gt(succ(_209623), _209625))], (364 ^ _196997) ^ [_209789, _209791] : [gt(succ(_209789), _209791), -(leq(_209791, _209789))], (370 ^ _196997) ^ [_210005, _210007] : [leq(n0, _210007), -(leq(uniform_int_rnd(_210005, _210007), _210007))], (376 ^ _196997) ^ [_210221, _210223] : [leq(n0, _210223), -(leq(n0, uniform_int_rnd(_210221, _210223)))], (382 ^ _196997) ^ [_210465, _210467, _210469, _210471] : [-(a_select2(tptp_const_array1(dim(_210469, _210467), _210465), _210471) = _210465), leq(_210469, _210471), leq(_210471, _210467)], (392 ^ _196997) ^ [_210872, _210874, _210876, _210878, _210880, _210882, _210884] : [-(a_select3(tptp_const_array2(dim(_210882, _210880), dim(_210876, _210874), _210872), _210884, _210878) = _210872), leq(_210882, _210884), leq(_210884, _210880), leq(_210876, _210878), leq(_210878, _210874)], (410 ^ _196997) ^ [_211467, _211469] : [413 ^ _196997 : [(414 ^ _196997) ^ [] : [-(leq(n0, 411 ^ [_211467, _211469]))], (416 ^ _196997) ^ [] : [-(leq(411 ^ [_211467, _211469], _211467))], (418 ^ _196997) ^ [] : [-(leq(n0, 412 ^ [_211467, _211469]))], (420 ^ _196997) ^ [] : [-(leq(412 ^ [_211467, _211469], _211467))], (422 ^ _196997) ^ [] : [a_select3(_211469, 411 ^ [_211467, _211469], 412 ^ [_211467, _211469]) = a_select3(_211469, 412 ^ [_211467, _211469], 411 ^ [_211467, _211469])]], 423 ^ _196997 : [(424 ^ _196997) ^ [_212224, _212226] : [-(a_select3(trans(_211469), _212226, _212224) = a_select3(trans(_211469), _212224, _212226)), leq(n0, _212226), leq(_212226, _211467), leq(n0, _212224), leq(_212224, _211467)]]], (442 ^ _196997) ^ [_212771, _212773] : [445 ^ _196997 : [(446 ^ _196997) ^ [] : [-(leq(n0, 443 ^ [_212771, _212773]))], (448 ^ _196997) ^ [] : [-(leq(443 ^ [_212771, _212773], _212771))], (450 ^ _196997) ^ [] : [-(leq(n0, 444 ^ [_212771, _212773]))], (452 ^ _196997) ^ [] : [-(leq(444 ^ [_212771, _212773], _212771))], (454 ^ _196997) ^ [] : [a_select3(_212773, 443 ^ [_212771, _212773], 444 ^ [_212771, _212773]) = a_select3(_212773, 444 ^ [_212771, _212773], 443 ^ [_212771, _212773])]], 455 ^ _196997 : [(456 ^ _196997) ^ [_213528, _213530] : [-(a_select3(inv(_212773), _213530, _213528) = a_select3(inv(_212773), _213528, _213530)), leq(n0, _213530), leq(_213530, _212771), leq(n0, _213528), leq(_213528, _212771)]]], (474 ^ _196997) ^ [_214075, _214077] : [477 ^ _196997 : [(478 ^ _196997) ^ [] : [-(leq(n0, 475 ^ [_214075, _214077]))], (480 ^ _196997) ^ [] : [-(leq(475 ^ [_214075, _214077], _214075))], (482 ^ _196997) ^ [] : [-(leq(n0, 476 ^ [_214075, _214077]))], (484 ^ _196997) ^ [] : [-(leq(476 ^ [_214075, _214077], _214075))], (486 ^ _196997) ^ [] : [a_select3(_214077, 475 ^ [_214075, _214077], 476 ^ [_214075, _214077]) = a_select3(_214077, 476 ^ [_214075, _214077], 475 ^ [_214075, _214077])]], 487 ^ _196997 : [(488 ^ _196997) ^ [_214888, _214890, _214892, _214894] : [-(a_select3(tptp_update3(_214077, _214890, _214890, _214888), _214894, _214892) = a_select3(tptp_update3(_214077, _214890, _214890, _214888), _214892, _214894)), leq(n0, _214894), leq(_214894, _214075), leq(n0, _214892), leq(_214892, _214075), leq(n0, _214890), leq(_214890, _214075)]]], (514 ^ _196997) ^ [_215707, _215709, _215711] : [519 ^ _196997 : [(520 ^ _196997) ^ [] : [-(leq(n0, 517 ^ [_215707, _215709, _215711]))], (522 ^ _196997) ^ [] : [-(leq(517 ^ [_215707, _215709, _215711], _215707))], (524 ^ _196997) ^ [] : [-(leq(n0, 518 ^ [_215707, _215709, _215711]))], (526 ^ _196997) ^ [] : [-(leq(518 ^ [_215707, _215709, _215711], _215707))], (528 ^ _196997) ^ [] : [a_select3(_215711, 517 ^ [_215707, _215709, _215711], 518 ^ [_215707, _215709, _215711]) = a_select3(_215711, 518 ^ [_215707, _215709, _215711], 517 ^ [_215707, _215709, _215711])]], 531 ^ _196997 : [(532 ^ _196997) ^ [] : [-(leq(n0, 529 ^ [_215707, _215709, _215711]))], (534 ^ _196997) ^ [] : [-(leq(529 ^ [_215707, _215709, _215711], _215707))], (536 ^ _196997) ^ [] : [-(leq(n0, 530 ^ [_215707, _215709, _215711]))], (538 ^ _196997) ^ [] : [-(leq(530 ^ [_215707, _215709, _215711], _215707))], (540 ^ _196997) ^ [] : [a_select3(_215709, 529 ^ [_215707, _215709, _215711], 530 ^ [_215707, _215709, _215711]) = a_select3(_215709, 530 ^ [_215707, _215709, _215711], 529 ^ [_215707, _215709, _215711])]], 541 ^ _196997 : [(542 ^ _196997) ^ [_217216, _217218] : [-(a_select3(tptp_madd(_215711, _215709), _217218, _217216) = a_select3(tptp_madd(_215711, _215709), _217216, _217218)), leq(n0, _217218), leq(_217218, _215707), leq(n0, _217216), leq(_217216, _215707)]]], (560 ^ _196997) ^ [_217802, _217804, _217806] : [565 ^ _196997 : [(566 ^ _196997) ^ [] : [-(leq(n0, 563 ^ [_217802, _217804, _217806]))], (568 ^ _196997) ^ [] : [-(leq(563 ^ [_217802, _217804, _217806], _217802))], (570 ^ _196997) ^ [] : [-(leq(n0, 564 ^ [_217802, _217804, _217806]))], (572 ^ _196997) ^ [] : [-(leq(564 ^ [_217802, _217804, _217806], _217802))], (574 ^ _196997) ^ [] : [a_select3(_217806, 563 ^ [_217802, _217804, _217806], 564 ^ [_217802, _217804, _217806]) = a_select3(_217806, 564 ^ [_217802, _217804, _217806], 563 ^ [_217802, _217804, _217806])]], 577 ^ _196997 : [(578 ^ _196997) ^ [] : [-(leq(n0, 575 ^ [_217802, _217804, _217806]))], (580 ^ _196997) ^ [] : [-(leq(575 ^ [_217802, _217804, _217806], _217802))], (582 ^ _196997) ^ [] : [-(leq(n0, 576 ^ [_217802, _217804, _217806]))], (584 ^ _196997) ^ [] : [-(leq(576 ^ [_217802, _217804, _217806], _217802))], (586 ^ _196997) ^ [] : [a_select3(_217804, 575 ^ [_217802, _217804, _217806], 576 ^ [_217802, _217804, _217806]) = a_select3(_217804, 576 ^ [_217802, _217804, _217806], 575 ^ [_217802, _217804, _217806])]], 587 ^ _196997 : [(588 ^ _196997) ^ [_219311, _219313] : [-(a_select3(tptp_msub(_217806, _217804), _219313, _219311) = a_select3(tptp_msub(_217806, _217804), _219311, _219313)), leq(n0, _219313), leq(_219313, _217802), leq(n0, _219311), leq(_219311, _217802)]]], (606 ^ _196997) ^ [_219897, _219899, _219901] : [609 ^ _196997 : [(610 ^ _196997) ^ [] : [-(leq(n0, 607 ^ [_219897, _219899, _219901]))], (612 ^ _196997) ^ [] : [-(leq(607 ^ [_219897, _219899, _219901], _219897))], (614 ^ _196997) ^ [] : [-(leq(n0, 608 ^ [_219897, _219899, _219901]))], (616 ^ _196997) ^ [] : [-(leq(608 ^ [_219897, _219899, _219901], _219897))], (618 ^ _196997) ^ [] : [a_select3(_219899, 607 ^ [_219897, _219899, _219901], 608 ^ [_219897, _219899, _219901]) = a_select3(_219899, 608 ^ [_219897, _219899, _219901], 607 ^ [_219897, _219899, _219901])]], 619 ^ _196997 : [(620 ^ _196997) ^ [_220710, _220712] : [-(a_select3(tptp_mmul(_219901, tptp_mmul(_219899, trans(_219901))), _220712, _220710) = a_select3(tptp_mmul(_219901, tptp_mmul(_219899, trans(_219901))), _220710, _220712)), leq(n0, _220712), leq(_220712, _219897), leq(n0, _220710), leq(_220710, _219897)]]], (638 ^ _196997) ^ [_221329, _221331, _221333, _221335] : [641 ^ _196997 : [(642 ^ _196997) ^ [] : [-(leq(n0, 639 ^ [_221329, _221331, _221333, _221335]))], (644 ^ _196997) ^ [] : [-(leq(639 ^ [_221329, _221331, _221333, _221335], _221329))], (646 ^ _196997) ^ [] : [-(leq(n0, 640 ^ [_221329, _221331, _221333, _221335]))], (648 ^ _196997) ^ [] : [-(leq(640 ^ [_221329, _221331, _221333, _221335], _221329))], (650 ^ _196997) ^ [] : [a_select3(_221333, 639 ^ [_221329, _221331, _221333, _221335], 640 ^ [_221329, _221331, _221333, _221335]) = a_select3(_221333, 640 ^ [_221329, _221331, _221333, _221335], 639 ^ [_221329, _221331, _221333, _221335])]], 651 ^ _196997 : [(652 ^ _196997) ^ [_222186, _222188] : [-(a_select3(tptp_mmul(_221335, tptp_mmul(_221333, trans(_221335))), _222188, _222186) = a_select3(tptp_mmul(_221335, tptp_mmul(_221333, trans(_221335))), _222186, _222188)), leq(n0, _222188), leq(_222188, _221331), leq(n0, _222186), leq(_222186, _221331)]]], (670 ^ _196997) ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895] : [675 ^ _196997 : [(676 ^ _196997) ^ [] : [-(leq(n0, 673 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (678 ^ _196997) ^ [] : [-(leq(673 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222881))], (680 ^ _196997) ^ [] : [-(leq(n0, 674 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (682 ^ _196997) ^ [] : [-(leq(674 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222881))], (684 ^ _196997) ^ [] : [a_select3(_222889, 673 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 674 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]) = a_select3(_222889, 674 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 673 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895])]], 689 ^ _196997 : [(690 ^ _196997) ^ [] : [-(leq(n0, 687 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (692 ^ _196997) ^ [] : [-(leq(687 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222883))], (694 ^ _196997) ^ [] : [-(leq(n0, 688 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (696 ^ _196997) ^ [] : [-(leq(688 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222883))], (698 ^ _196997) ^ [] : [a_select3(_222895, 687 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 688 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]) = a_select3(_222895, 688 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 687 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895])]], 701 ^ _196997 : [(702 ^ _196997) ^ [] : [-(leq(n0, 699 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (704 ^ _196997) ^ [] : [-(leq(699 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222883))], (706 ^ _196997) ^ [] : [-(leq(n0, 700 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]))], (708 ^ _196997) ^ [] : [-(leq(700 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], _222883))], (710 ^ _196997) ^ [] : [a_select3(_222885, 699 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 700 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895]) = a_select3(_222885, 700 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895], 699 ^ [_222881, _222883, _222885, _222887, _222889, _222891, _222893, _222895])]], 711 ^ _196997 : [(712 ^ _196997) ^ [_225809, _225811] : [-(a_select3(tptp_madd(_222895, tptp_mmul(_222893, tptp_mmul(tptp_madd(tptp_mmul(_222891, tptp_mmul(_222889, trans(_222891))), tptp_mmul(_222887, tptp_mmul(_222885, trans(_222887)))), trans(_222893)))), _225811, _225809) = a_select3(tptp_madd(_222895, tptp_mmul(_222893, tptp_mmul(tptp_madd(tptp_mmul(_222891, tptp_mmul(_222889, trans(_222891))), tptp_mmul(_222887, tptp_mmul(_222885, trans(_222887)))), trans(_222893)))), _225809, _225811)), leq(n0, _225811), leq(_225811, _222883), leq(n0, _225809), leq(_225809, _222883)]]], (730 ^ _196997) ^ [_226562] : [-(sum(n0, tptp_minus_1, _226562) = n0)], (732 ^ _196997) ^ [_226644] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226644))], (734 ^ _196997) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196997) ^ [_226779] : [-(plus(_226779, n1) = succ(_226779))], (738 ^ _196997) ^ [_226862] : [-(plus(n1, _226862) = succ(_226862))], (740 ^ _196997) ^ [_226945] : [-(plus(_226945, n2) = succ(succ(_226945)))], (742 ^ _196997) ^ [_227030] : [-(plus(n2, _227030) = succ(succ(_227030)))], (744 ^ _196997) ^ [_227115] : [-(plus(_227115, n3) = succ(succ(succ(_227115))))], (746 ^ _196997) ^ [_227202] : [-(plus(n3, _227202) = succ(succ(succ(_227202))))], (748 ^ _196997) ^ [_227289] : [-(plus(_227289, n4) = succ(succ(succ(succ(_227289)))))], (750 ^ _196997) ^ [_227378] : [-(plus(n4, _227378) = succ(succ(succ(succ(_227378)))))], (752 ^ _196997) ^ [_227467] : [-(plus(_227467, n5) = succ(succ(succ(succ(succ(_227467))))))], (754 ^ _196997) ^ [_227558] : [-(plus(n5, _227558) = succ(succ(succ(succ(succ(_227558))))))], (756 ^ _196997) ^ [_227649] : [-(minus(_227649, n1) = pred(_227649))], (758 ^ _196997) ^ [_227732] : [-(pred(succ(_227732)) = _227732)], (760 ^ _196997) ^ [_227814] : [-(succ(pred(_227814)) = _227814)], (762 ^ _196997) ^ [_227954, _227956] : [leq(succ(_227956), succ(_227954)), -(leq(_227956, _227954))], (768 ^ _196997) ^ [_228124, _228126] : [leq(_228126, _228124), -(leq(succ(_228126), succ(_228124)))], (774 ^ _196997) ^ [_228344, _228346] : [leq(succ(_228346), _228344), -(gt(_228344, _228346))], (780 ^ _196997) ^ [_228558, _228560] : [leq(minus(_228560, _228558), _228560), -(leq(n0, _228558))], (786 ^ _196997) ^ [_228787, _228789, _228791, _228793] : [-(a_select3(tptp_update3(_228793, _228791, _228789, _228787), _228791, _228789) = _228787)], (788 ^ _196997) ^ [_228979, _228981, _228983, _228985, _228987, _228989, _228991] : [-(a_select3(tptp_update3(_228983, _228991, _228989, _228979), _228987, _228985) = _228981), -(_228991 = _228987), _228989 = _228985, a_select3(_228983, _228987, _228985) = _228981], (802 ^ _196997) ^ [_229522, _229524, _229526, _229528, _229530, _229532] : [-(a_select3(tptp_update3(_229524, _229528, _229526, _229522), _229532, _229530) = _229522), 807 ^ _196997 : [(808 ^ _196997) ^ [] : [-(leq(n0, 805 ^ [_229522, _229524, _229526, _229528, _229530, _229532]))], (810 ^ _196997) ^ [] : [-(leq(n0, 806 ^ [_229522, _229524, _229526, _229528, _229530, _229532]))], (812 ^ _196997) ^ [] : [-(leq(805 ^ [_229522, _229524, _229526, _229528, _229530, _229532], _229528))], (814 ^ _196997) ^ [] : [-(leq(806 ^ [_229522, _229524, _229526, _229528, _229530, _229532], _229526))], (816 ^ _196997) ^ [] : [a_select3(_229524, 805 ^ [_229522, _229524, _229526, _229528, _229530, _229532], 806 ^ [_229522, _229524, _229526, _229528, _229530, _229532]) = _229522]], leq(n0, _229532), leq(_229532, _229528), leq(n0, _229530), leq(_229530, _229526)], (834 ^ _196997) ^ [_230864, _230866, _230868] : [-(a_select2(tptp_update2(_230868, _230866, _230864), _230866) = _230864)], (836 ^ _196997) ^ [_231024, _231026, _231028, _231030, _231032] : [-(a_select2(tptp_update2(_231028, _231032, _231024), _231030) = _231026), -(_231032 = _231030), a_select2(_231028, _231030) = _231026], (865 ^ _196997) ^ [] : [-(true)], (867 ^ _196997) ^ [] : [def = use], (846 ^ _196997) ^ [_231404, _231406, _231408, _231410] : [-(a_select2(tptp_update2(_231406, _231408, _231404), _231410) = _231404), 850 ^ _196997 : [(851 ^ _196997) ^ [] : [-(leq(n0, 849 ^ [_231404, _231406, _231408, _231410]))], (853 ^ _196997) ^ [] : [-(leq(849 ^ [_231404, _231406, _231408, _231410], _231408))], (855 ^ _196997) ^ [] : [a_select2(_231406, 849 ^ [_231404, _231406, _231408, _231410]) = _231404]], leq(n0, _231410), leq(_231410, _231408)]], input).
% 0.34/1.38 ncf('1',plain,[true],start(1059 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------