%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV071+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 12:19:54 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV071+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 02:34:21 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(1055 ^ _198490) ^ [] : [-(leq(n0, pv21))], (1057 ^ _198490) ^ [] : [-(leq(n0, pv23))], (1059 ^ _198490) ^ [] : [-(leq(pv21, minus(n5, n1)))], (1061 ^ _198490) ^ [] : [-(leq(pv23, minus(n135300, n1)))], (1063 ^ _198490) ^ [] : [leq(n0, pv21), leq(n0, pv23), leq(pv21, minus(n5, n1)), leq(pv23, minus(n135300, n1))], (2 ^ _198490) ^ [_198634] : [-(_198634 = _198634)], (4 ^ _198490) ^ [_198741, _198743] : [_198743 = _198741, -(_198741 = _198743)], (10 ^ _198490) ^ [_198945, _198947, _198949] : [-(_198949 = _198945), _198949 = _198947, _198947 = _198945], (20 ^ _198490) ^ [_199286, _199288, _199290, _199292] : [-(lt(_199290, _199286)), lt(_199292, _199288), _199292 = _199290, _199288 = _199286], (34 ^ _198490) ^ [_199730, _199732, _199734, _199736] : [-(geq(_199734, _199730)), geq(_199736, _199732), _199736 = _199734, _199732 = _199730], (48 ^ _198490) ^ [_200174, _200176, _200178, _200180] : [-(gt(_200178, _200174)), gt(_200180, _200176), _200180 = _200178, _200176 = _200174], (62 ^ _198490) ^ [_200598, _200600, _200602, _200604] : [-(leq(_200602, _200598)), leq(_200604, _200600), _200604 = _200602, _200600 = _200598], (76 ^ _198490) ^ [_201054, _201056, _201058, _201060] : [-(uniform_int_rnd(_201060, _201056) = uniform_int_rnd(_201058, _201054)), _201060 = _201058, _201056 = _201054], (86 ^ _198490) ^ [_201413, _201415, _201417, _201419] : [-(tptp_const_array1(_201419, _201415) = tptp_const_array1(_201417, _201413)), _201419 = _201417, _201415 = _201413], (96 ^ _198490) ^ [_201800, _201802, _201804, _201806, _201808, _201810] : [-(tptp_const_array2(_201810, _201806, _201802) = tptp_const_array2(_201808, _201804, _201800)), _201810 = _201808, _201806 = _201804, _201802 = _201800], (110 ^ _198490) ^ [_202288, _202290, _202292, _202294] : [-(dim(_202294, _202290) = dim(_202292, _202288)), _202294 = _202292, _202290 = _202288], (120 ^ _198490) ^ [_202619, _202621] : [_202621 = _202619, -(inv(_202621) = inv(_202619))], (126 ^ _198490) ^ [_202865, _202867, _202869, _202871] : [-(tptp_msub(_202871, _202867) = tptp_msub(_202869, _202865)), _202871 = _202869, _202867 = _202865], (136 ^ _198490) ^ [_203224, _203226, _203228, _203230] : [-(tptp_madd(_203230, _203226) = tptp_madd(_203228, _203224)), _203230 = _203228, _203226 = _203224], (146 ^ _198490) ^ [_203583, _203585, _203587, _203589] : [-(tptp_mmul(_203589, _203585) = tptp_mmul(_203587, _203583)), _203589 = _203587, _203585 = _203583], (156 ^ _198490) ^ [_203914, _203916] : [_203916 = _203914, -(trans(_203916) = trans(_203914))], (162 ^ _198490) ^ [_204188, _204190, _204192, _204194, _204196, _204198] : [-(sum(_204198, _204194, _204190) = sum(_204196, _204192, _204188)), _204198 = _204196, _204194 = _204192, _204190 = _204188], (176 ^ _198490) ^ [_204676, _204678, _204680, _204682] : [-(plus(_204682, _204678) = plus(_204680, _204676)), _204682 = _204680, _204678 = _204676], (186 ^ _198490) ^ [_205007, _205009] : [_205009 = _205007, -(pred(_205009) = pred(_205007))], (192 ^ _198490) ^ [_205281, _205283, _205285, _205287, _205289, _205291] : [-(a_select3(_205291, _205287, _205283) = a_select3(_205289, _205285, _205281)), _205291 = _205289, _205287 = _205285, _205283 = _205281], (206 ^ _198490) ^ [_205825, _205827, _205829, _205831, _205833, _205835, _205837, _205839] : [-(tptp_update3(_205839, _205835, _205831, _205827) = tptp_update3(_205837, _205833, _205829, _205825)), _205839 = _205837, _205835 = _205833, _205831 = _205829, _205827 = _205825], (224 ^ _198490) ^ [_206458, _206460, _206462, _206464] : [-(a_select2(_206464, _206460) = a_select2(_206462, _206458)), _206464 = _206462, _206460 = _206458], (234 ^ _198490) ^ [_206845, _206847, _206849, _206851, _206853, _206855] : [-(tptp_update2(_206855, _206851, _206847) = tptp_update2(_206853, _206849, _206845)), _206855 = _206853, _206851 = _206849, _206847 = _206845], (248 ^ _198490) ^ [_207305, _207307] : [_207307 = _207305, -(succ(_207307) = succ(_207305))], (254 ^ _198490) ^ [_207531, _207533, _207535, _207537] : [-(minus(_207537, _207533) = minus(_207535, _207531)), _207537 = _207535, _207533 = _207531], (869 ^ _198490) ^ [] : [-(gt(n5, n4))], (871 ^ _198490) ^ [] : [-(gt(n135300, n4))], (873 ^ _198490) ^ [] : [-(gt(n135300, n5))], (875 ^ _198490) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _198490) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _198490) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _198490) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _198490) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _198490) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _198490) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _198490) ^ [] : [-(gt(n4, n0))], (891 ^ _198490) ^ [] : [-(gt(n5, n0))], (893 ^ _198490) ^ [] : [-(gt(n135300, n0))], (895 ^ _198490) ^ [] : [-(gt(n1, n0))], (897 ^ _198490) ^ [] : [-(gt(n2, n0))], (899 ^ _198490) ^ [] : [-(gt(n3, n0))], (901 ^ _198490) ^ [] : [-(gt(n4, n1))], (903 ^ _198490) ^ [] : [-(gt(n5, n1))], (905 ^ _198490) ^ [] : [-(gt(n135300, n1))], (907 ^ _198490) ^ [] : [-(gt(n2, n1))], (909 ^ _198490) ^ [] : [-(gt(n3, n1))], (911 ^ _198490) ^ [] : [-(gt(n4, n2))], (913 ^ _198490) ^ [] : [-(gt(n5, n2))], (915 ^ _198490) ^ [] : [-(gt(n135300, n2))], (917 ^ _198490) ^ [] : [-(gt(n3, n2))], (919 ^ _198490) ^ [] : [-(gt(n4, n3))], (921 ^ _198490) ^ [] : [-(gt(n5, n3))], (923 ^ _198490) ^ [] : [-(gt(n135300, n3))], (925 ^ _198490) ^ [_235371] : [leq(n0, _235371), leq(_235371, n4), -(_235371 = n0), -(_235371 = n1), -(_235371 = n2), -(_235371 = n3), -(_235371 = n4)], (951 ^ _198490) ^ [_235992] : [leq(n0, _235992), leq(_235992, n5), -(_235992 = n0), -(_235992 = n1), -(_235992 = n2), -(_235992 = n3), -(_235992 = n4), -(_235992 = n5)], (981 ^ _198490) ^ [_236699] : [-(_236699 = n0), leq(n0, _236699), leq(_236699, n0)], (991 ^ _198490) ^ [_236974] : [leq(n0, _236974), leq(_236974, n1), -(_236974 = n0), -(_236974 = n1)], (1005 ^ _198490) ^ [_237337] : [leq(n0, _237337), leq(_237337, n2), -(_237337 = n0), -(_237337 = n1), -(_237337 = n2)], (1045 ^ _198490) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _198490) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _198490) ^ [] : [-(succ(n0) = n1)], (1051 ^ _198490) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _198490) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _198490) ^ [_237786] : [leq(n0, _237786), leq(_237786, n3), -(_237786 = n0), -(_237786 = n1), -(_237786 = n2), -(_237786 = n3)], (264 ^ _198490) ^ [_207962, _207964] : [-(gt(_207964, _207962)), -(gt(_207962, _207964)), -(_207964 = _207962)], (274 ^ _198490) ^ [_208277, _208279, _208281] : [-(gt(_208281, _208277)), gt(_208281, _208279), gt(_208279, _208277)], (284 ^ _198490) ^ [_208556] : [gt(_208556, _208556)], (286 ^ _198490) ^ [_208634] : [-(leq(_208634, _208634))], (288 ^ _198490) ^ [_208755, _208757, _208759] : [-(leq(_208759, _208755)), leq(_208759, _208757), leq(_208757, _208755)], (298 ^ _198490) ^ [_209093, _209095] : [lt(_209095, _209093), -(gt(_209093, _209095))], (304 ^ _198490) ^ [_209255, _209257] : [gt(_209255, _209257), -(lt(_209257, _209255))], (310 ^ _198490) ^ [_209496, _209498] : [geq(_209498, _209496), -(leq(_209496, _209498))], (316 ^ _198490) ^ [_209658, _209660] : [leq(_209658, _209660), -(geq(_209660, _209658))], (322 ^ _198490) ^ [_209870, _209872] : [gt(_209870, _209872), -(leq(_209872, _209870))], (328 ^ _198490) ^ [_210080, _210082] : [-(gt(_210080, _210082)), leq(_210082, _210080), -(_210082 = _210080)], (338 ^ _198490) ^ [_210411, _210413] : [leq(_210413, pred(_210411)), -(gt(_210411, _210413))], (344 ^ _198490) ^ [_210577, _210579] : [gt(_210577, _210579), -(leq(_210579, pred(_210577)))], (350 ^ _198490) ^ [_210764] : [-(gt(succ(_210764), _210764))], (352 ^ _198490) ^ [_210873, _210875] : [leq(_210875, _210873), -(leq(_210875, succ(_210873)))], (358 ^ _198490) ^ [_211116, _211118] : [leq(_211118, _211116), -(gt(succ(_211116), _211118))], (364 ^ _198490) ^ [_211282, _211284] : [gt(succ(_211282), _211284), -(leq(_211284, _211282))], (370 ^ _198490) ^ [_211498, _211500] : [leq(n0, _211500), -(leq(uniform_int_rnd(_211498, _211500), _211500))], (376 ^ _198490) ^ [_211714, _211716] : [leq(n0, _211716), -(leq(n0, uniform_int_rnd(_211714, _211716)))], (382 ^ _198490) ^ [_211958, _211960, _211962, _211964] : [-(a_select2(tptp_const_array1(dim(_211962, _211960), _211958), _211964) = _211958), leq(_211962, _211964), leq(_211964, _211960)], (392 ^ _198490) ^ [_212365, _212367, _212369, _212371, _212373, _212375, _212377] : [-(a_select3(tptp_const_array2(dim(_212375, _212373), dim(_212369, _212367), _212365), _212377, _212371) = _212365), leq(_212375, _212377), leq(_212377, _212373), leq(_212369, _212371), leq(_212371, _212367)], (410 ^ _198490) ^ [_212960, _212962] : [413 ^ _198490 : [(414 ^ _198490) ^ [] : [-(leq(n0, 411 ^ [_212960, _212962]))], (416 ^ _198490) ^ [] : [-(leq(411 ^ [_212960, _212962], _212960))], (418 ^ _198490) ^ [] : [-(leq(n0, 412 ^ [_212960, _212962]))], (420 ^ _198490) ^ [] : [-(leq(412 ^ [_212960, _212962], _212960))], (422 ^ _198490) ^ [] : [a_select3(_212962, 411 ^ [_212960, _212962], 412 ^ [_212960, _212962]) = a_select3(_212962, 412 ^ [_212960, _212962], 411 ^ [_212960, _212962])]], 423 ^ _198490 : [(424 ^ _198490) ^ [_213717, _213719] : [-(a_select3(trans(_212962), _213719, _213717) = a_select3(trans(_212962), _213717, _213719)), leq(n0, _213719), leq(_213719, _212960), leq(n0, _213717), leq(_213717, _212960)]]], (442 ^ _198490) ^ [_214264, _214266] : [445 ^ _198490 : [(446 ^ _198490) ^ [] : [-(leq(n0, 443 ^ [_214264, _214266]))], (448 ^ _198490) ^ [] : [-(leq(443 ^ [_214264, _214266], _214264))], (450 ^ _198490) ^ [] : [-(leq(n0, 444 ^ [_214264, _214266]))], (452 ^ _198490) ^ [] : [-(leq(444 ^ [_214264, _214266], _214264))], (454 ^ _198490) ^ [] : [a_select3(_214266, 443 ^ [_214264, _214266], 444 ^ [_214264, _214266]) = a_select3(_214266, 444 ^ [_214264, _214266], 443 ^ [_214264, _214266])]], 455 ^ _198490 : [(456 ^ _198490) ^ [_215021, _215023] : [-(a_select3(inv(_214266), _215023, _215021) = a_select3(inv(_214266), _215021, _215023)), leq(n0, _215023), leq(_215023, _214264), leq(n0, _215021), leq(_215021, _214264)]]], (474 ^ _198490) ^ [_215568, _215570] : [477 ^ _198490 : [(478 ^ _198490) ^ [] : [-(leq(n0, 475 ^ [_215568, _215570]))], (480 ^ _198490) ^ [] : [-(leq(475 ^ [_215568, _215570], _215568))], (482 ^ _198490) ^ [] : [-(leq(n0, 476 ^ [_215568, _215570]))], (484 ^ _198490) ^ [] : [-(leq(476 ^ [_215568, _215570], _215568))], (486 ^ _198490) ^ [] : [a_select3(_215570, 475 ^ [_215568, _215570], 476 ^ [_215568, _215570]) = a_select3(_215570, 476 ^ [_215568, _215570], 475 ^ [_215568, _215570])]], 487 ^ _198490 : [(488 ^ _198490) ^ [_216381, _216383, _216385, _216387] : [-(a_select3(tptp_update3(_215570, _216383, _216383, _216381), _216387, _216385) = a_select3(tptp_update3(_215570, _216383, _216383, _216381), _216385, _216387)), leq(n0, _216387), leq(_216387, _215568), leq(n0, _216385), leq(_216385, _215568), leq(n0, _216383), leq(_216383, _215568)]]], (514 ^ _198490) ^ [_217200, _217202, _217204] : [519 ^ _198490 : [(520 ^ _198490) ^ [] : [-(leq(n0, 517 ^ [_217200, _217202, _217204]))], (522 ^ _198490) ^ [] : [-(leq(517 ^ [_217200, _217202, _217204], _217200))], (524 ^ _198490) ^ [] : [-(leq(n0, 518 ^ [_217200, _217202, _217204]))], (526 ^ _198490) ^ [] : [-(leq(518 ^ [_217200, _217202, _217204], _217200))], (528 ^ _198490) ^ [] : [a_select3(_217204, 517 ^ [_217200, _217202, _217204], 518 ^ [_217200, _217202, _217204]) = a_select3(_217204, 518 ^ [_217200, _217202, _217204], 517 ^ [_217200, _217202, _217204])]], 531 ^ _198490 : [(532 ^ _198490) ^ [] : [-(leq(n0, 529 ^ [_217200, _217202, _217204]))], (534 ^ _198490) ^ [] : [-(leq(529 ^ [_217200, _217202, _217204], _217200))], (536 ^ _198490) ^ [] : [-(leq(n0, 530 ^ [_217200, _217202, _217204]))], (538 ^ _198490) ^ [] : [-(leq(530 ^ [_217200, _217202, _217204], _217200))], (540 ^ _198490) ^ [] : [a_select3(_217202, 529 ^ [_217200, _217202, _217204], 530 ^ [_217200, _217202, _217204]) = a_select3(_217202, 530 ^ [_217200, _217202, _217204], 529 ^ [_217200, _217202, _217204])]], 541 ^ _198490 : [(542 ^ _198490) ^ [_218709, _218711] : [-(a_select3(tptp_madd(_217204, _217202), _218711, _218709) = a_select3(tptp_madd(_217204, _217202), _218709, _218711)), leq(n0, _218711), leq(_218711, _217200), leq(n0, _218709), leq(_218709, _217200)]]], (560 ^ _198490) ^ [_219295, _219297, _219299] : [565 ^ _198490 : [(566 ^ _198490) ^ [] : [-(leq(n0, 563 ^ [_219295, _219297, _219299]))], (568 ^ _198490) ^ [] : [-(leq(563 ^ [_219295, _219297, _219299], _219295))], (570 ^ _198490) ^ [] : [-(leq(n0, 564 ^ [_219295, _219297, _219299]))], (572 ^ _198490) ^ [] : [-(leq(564 ^ [_219295, _219297, _219299], _219295))], (574 ^ _198490) ^ [] : [a_select3(_219299, 563 ^ [_219295, _219297, _219299], 564 ^ [_219295, _219297, _219299]) = a_select3(_219299, 564 ^ [_219295, _219297, _219299], 563 ^ [_219295, _219297, _219299])]], 577 ^ _198490 : [(578 ^ _198490) ^ [] : [-(leq(n0, 575 ^ [_219295, _219297, _219299]))], (580 ^ _198490) ^ [] : [-(leq(575 ^ [_219295, _219297, _219299], _219295))], (582 ^ _198490) ^ [] : [-(leq(n0, 576 ^ [_219295, _219297, _219299]))], (584 ^ _198490) ^ [] : [-(leq(576 ^ [_219295, _219297, _219299], _219295))], (586 ^ _198490) ^ [] : [a_select3(_219297, 575 ^ [_219295, _219297, _219299], 576 ^ [_219295, _219297, _219299]) = a_select3(_219297, 576 ^ [_219295, _219297, _219299], 575 ^ [_219295, _219297, _219299])]], 587 ^ _198490 : [(588 ^ _198490) ^ [_220804, _220806] : [-(a_select3(tptp_msub(_219299, _219297), _220806, _220804) = a_select3(tptp_msub(_219299, _219297), _220804, _220806)), leq(n0, _220806), leq(_220806, _219295), leq(n0, _220804), leq(_220804, _219295)]]], (606 ^ _198490) ^ [_221390, _221392, _221394] : [609 ^ _198490 : [(610 ^ _198490) ^ [] : [-(leq(n0, 607 ^ [_221390, _221392, _221394]))], (612 ^ _198490) ^ [] : [-(leq(607 ^ [_221390, _221392, _221394], _221390))], (614 ^ _198490) ^ [] : [-(leq(n0, 608 ^ [_221390, _221392, _221394]))], (616 ^ _198490) ^ [] : [-(leq(608 ^ [_221390, _221392, _221394], _221390))], (618 ^ _198490) ^ [] : [a_select3(_221392, 607 ^ [_221390, _221392, _221394], 608 ^ [_221390, _221392, _221394]) = a_select3(_221392, 608 ^ [_221390, _221392, _221394], 607 ^ [_221390, _221392, _221394])]], 619 ^ _198490 : [(620 ^ _198490) ^ [_222203, _222205] : [-(a_select3(tptp_mmul(_221394, tptp_mmul(_221392, trans(_221394))), _222205, _222203) = a_select3(tptp_mmul(_221394, tptp_mmul(_221392, trans(_221394))), _222203, _222205)), leq(n0, _222205), leq(_222205, _221390), leq(n0, _222203), leq(_222203, _221390)]]], (638 ^ _198490) ^ [_222822, _222824, _222826, _222828] : [641 ^ _198490 : [(642 ^ _198490) ^ [] : [-(leq(n0, 639 ^ [_222822, _222824, _222826, _222828]))], (644 ^ _198490) ^ [] : [-(leq(639 ^ [_222822, _222824, _222826, _222828], _222822))], (646 ^ _198490) ^ [] : [-(leq(n0, 640 ^ [_222822, _222824, _222826, _222828]))], (648 ^ _198490) ^ [] : [-(leq(640 ^ [_222822, _222824, _222826, _222828], _222822))], (650 ^ _198490) ^ [] : [a_select3(_222826, 639 ^ [_222822, _222824, _222826, _222828], 640 ^ [_222822, _222824, _222826, _222828]) = a_select3(_222826, 640 ^ [_222822, _222824, _222826, _222828], 639 ^ [_222822, _222824, _222826, _222828])]], 651 ^ _198490 : [(652 ^ _198490) ^ [_223679, _223681] : [-(a_select3(tptp_mmul(_222828, tptp_mmul(_222826, trans(_222828))), _223681, _223679) = a_select3(tptp_mmul(_222828, tptp_mmul(_222826, trans(_222828))), _223679, _223681)), leq(n0, _223681), leq(_223681, _222824), leq(n0, _223679), leq(_223679, _222824)]]], (670 ^ _198490) ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388] : [675 ^ _198490 : [(676 ^ _198490) ^ [] : [-(leq(n0, 673 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (678 ^ _198490) ^ [] : [-(leq(673 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224374))], (680 ^ _198490) ^ [] : [-(leq(n0, 674 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (682 ^ _198490) ^ [] : [-(leq(674 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224374))], (684 ^ _198490) ^ [] : [a_select3(_224382, 673 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 674 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]) = a_select3(_224382, 674 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 673 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388])]], 689 ^ _198490 : [(690 ^ _198490) ^ [] : [-(leq(n0, 687 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (692 ^ _198490) ^ [] : [-(leq(687 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224376))], (694 ^ _198490) ^ [] : [-(leq(n0, 688 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (696 ^ _198490) ^ [] : [-(leq(688 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224376))], (698 ^ _198490) ^ [] : [a_select3(_224388, 687 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 688 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]) = a_select3(_224388, 688 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 687 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388])]], 701 ^ _198490 : [(702 ^ _198490) ^ [] : [-(leq(n0, 699 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (704 ^ _198490) ^ [] : [-(leq(699 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224376))], (706 ^ _198490) ^ [] : [-(leq(n0, 700 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]))], (708 ^ _198490) ^ [] : [-(leq(700 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], _224376))], (710 ^ _198490) ^ [] : [a_select3(_224378, 699 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 700 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388]) = a_select3(_224378, 700 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388], 699 ^ [_224374, _224376, _224378, _224380, _224382, _224384, _224386, _224388])]], 711 ^ _198490 : [(712 ^ _198490) ^ [_227302, _227304] : [-(a_select3(tptp_madd(_224388, tptp_mmul(_224386, tptp_mmul(tptp_madd(tptp_mmul(_224384, tptp_mmul(_224382, trans(_224384))), tptp_mmul(_224380, tptp_mmul(_224378, trans(_224380)))), trans(_224386)))), _227304, _227302) = a_select3(tptp_madd(_224388, tptp_mmul(_224386, tptp_mmul(tptp_madd(tptp_mmul(_224384, tptp_mmul(_224382, trans(_224384))), tptp_mmul(_224380, tptp_mmul(_224378, trans(_224380)))), trans(_224386)))), _227302, _227304)), leq(n0, _227304), leq(_227304, _224376), leq(n0, _227302), leq(_227302, _224376)]]], (730 ^ _198490) ^ [_228055] : [-(sum(n0, tptp_minus_1, _228055) = n0)], (732 ^ _198490) ^ [_228137] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _228137))], (734 ^ _198490) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _198490) ^ [_228272] : [-(plus(_228272, n1) = succ(_228272))], (738 ^ _198490) ^ [_228355] : [-(plus(n1, _228355) = succ(_228355))], (740 ^ _198490) ^ [_228438] : [-(plus(_228438, n2) = succ(succ(_228438)))], (742 ^ _198490) ^ [_228523] : [-(plus(n2, _228523) = succ(succ(_228523)))], (744 ^ _198490) ^ [_228608] : [-(plus(_228608, n3) = succ(succ(succ(_228608))))], (746 ^ _198490) ^ [_228695] : [-(plus(n3, _228695) = succ(succ(succ(_228695))))], (748 ^ _198490) ^ [_228782] : [-(plus(_228782, n4) = succ(succ(succ(succ(_228782)))))], (750 ^ _198490) ^ [_228871] : [-(plus(n4, _228871) = succ(succ(succ(succ(_228871)))))], (752 ^ _198490) ^ [_228960] : [-(plus(_228960, n5) = succ(succ(succ(succ(succ(_228960))))))], (754 ^ _198490) ^ [_229051] : [-(plus(n5, _229051) = succ(succ(succ(succ(succ(_229051))))))], (756 ^ _198490) ^ [_229142] : [-(minus(_229142, n1) = pred(_229142))], (758 ^ _198490) ^ [_229225] : [-(pred(succ(_229225)) = _229225)], (760 ^ _198490) ^ [_229307] : [-(succ(pred(_229307)) = _229307)], (762 ^ _198490) ^ [_229447, _229449] : [leq(succ(_229449), succ(_229447)), -(leq(_229449, _229447))], (768 ^ _198490) ^ [_229617, _229619] : [leq(_229619, _229617), -(leq(succ(_229619), succ(_229617)))], (774 ^ _198490) ^ [_229837, _229839] : [leq(succ(_229839), _229837), -(gt(_229837, _229839))], (780 ^ _198490) ^ [_230051, _230053] : [leq(minus(_230053, _230051), _230053), -(leq(n0, _230051))], (786 ^ _198490) ^ [_230280, _230282, _230284, _230286] : [-(a_select3(tptp_update3(_230286, _230284, _230282, _230280), _230284, _230282) = _230280)], (788 ^ _198490) ^ [_230472, _230474, _230476, _230478, _230480, _230482, _230484] : [-(a_select3(tptp_update3(_230476, _230484, _230482, _230472), _230480, _230478) = _230474), -(_230484 = _230480), _230482 = _230478, a_select3(_230476, _230480, _230478) = _230474], (802 ^ _198490) ^ [_231015, _231017, _231019, _231021, _231023, _231025] : [-(a_select3(tptp_update3(_231017, _231021, _231019, _231015), _231025, _231023) = _231015), 807 ^ _198490 : [(808 ^ _198490) ^ [] : [-(leq(n0, 805 ^ [_231015, _231017, _231019, _231021, _231023, _231025]))], (810 ^ _198490) ^ [] : [-(leq(n0, 806 ^ [_231015, _231017, _231019, _231021, _231023, _231025]))], (812 ^ _198490) ^ [] : [-(leq(805 ^ [_231015, _231017, _231019, _231021, _231023, _231025], _231021))], (814 ^ _198490) ^ [] : [-(leq(806 ^ [_231015, _231017, _231019, _231021, _231023, _231025], _231019))], (816 ^ _198490) ^ [] : [a_select3(_231017, 805 ^ [_231015, _231017, _231019, _231021, _231023, _231025], 806 ^ [_231015, _231017, _231019, _231021, _231023, _231025]) = _231015]], leq(n0, _231025), leq(_231025, _231021), leq(n0, _231023), leq(_231023, _231019)], (834 ^ _198490) ^ [_232357, _232359, _232361] : [-(a_select2(tptp_update2(_232361, _232359, _232357), _232359) = _232357)], (836 ^ _198490) ^ [_232517, _232519, _232521, _232523, _232525] : [-(a_select2(tptp_update2(_232521, _232525, _232517), _232523) = _232519), -(_232525 = _232523), a_select2(_232521, _232523) = _232519], (865 ^ _198490) ^ [] : [-(true)], (867 ^ _198490) ^ [] : [def = use], (846 ^ _198490) ^ [_232897, _232899, _232901, _232903] : [-(a_select2(tptp_update2(_232899, _232901, _232897), _232903) = _232897), 850 ^ _198490 : [(851 ^ _198490) ^ [] : [-(leq(n0, 849 ^ [_232897, _232899, _232901, _232903]))], (853 ^ _198490) ^ [] : [-(leq(849 ^ [_232897, _232899, _232901, _232903], _232901))], (855 ^ _198490) ^ [] : [a_select2(_232899, 849 ^ [_232897, _232899, _232901, _232903]) = _232897]], leq(n0, _232903), leq(_232903, _232901)]], input).
% 0.35/1.37  ncf('1',plain,[leq(n0, pv21), leq(n0, pv23), leq(pv21, minus(n5, n1)), leq(pv23, minus(n135300, n1))],start(1063 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(leq(n0, pv21))],extension(1055 ^ 1)).
% 0.35/1.37  ncf('1.2',plain,[-(leq(n0, pv23))],extension(1057 ^ 1)).
% 0.35/1.37  ncf('1.3',plain,[-(leq(pv21, minus(n5, n1)))],extension(1059 ^ 1)).
% 0.35/1.37  ncf('1.4',plain,[-(leq(pv23, minus(n135300, n1)))],extension(1061 ^ 1)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------