%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV074+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 12:19:55 EDT 2023

% Result   : Theorem 0.37s 1.40s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV074+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 02:43:01 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.37/1.40  
% 0.37/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.40  %-----------------------------------------------------
% 0.37/1.40  ncf(matrix, plain, [(1055 ^ _198458) ^ [] : [-(leq(n0, pv31))], (1057 ^ _198458) ^ [] : [-(leq(n0, pv36))], (1059 ^ _198458) ^ [] : [-(leq(pv31, minus(n5, n1)))], (1061 ^ _198458) ^ [] : [-(leq(pv36, minus(n135300, n1)))], (1063 ^ _198458) ^ [] : [leq(n0, pv31), leq(n0, pv36), leq(pv31, minus(n5, n1)), leq(pv36, minus(n135300, n1))], (2 ^ _198458) ^ [_198602] : [-(_198602 = _198602)], (4 ^ _198458) ^ [_198709, _198711] : [_198711 = _198709, -(_198709 = _198711)], (10 ^ _198458) ^ [_198913, _198915, _198917] : [-(_198917 = _198913), _198917 = _198915, _198915 = _198913], (20 ^ _198458) ^ [_199254, _199256, _199258, _199260] : [-(lt(_199258, _199254)), lt(_199260, _199256), _199260 = _199258, _199256 = _199254], (34 ^ _198458) ^ [_199698, _199700, _199702, _199704] : [-(geq(_199702, _199698)), geq(_199704, _199700), _199704 = _199702, _199700 = _199698], (48 ^ _198458) ^ [_200142, _200144, _200146, _200148] : [-(gt(_200146, _200142)), gt(_200148, _200144), _200148 = _200146, _200144 = _200142], (62 ^ _198458) ^ [_200566, _200568, _200570, _200572] : [-(leq(_200570, _200566)), leq(_200572, _200568), _200572 = _200570, _200568 = _200566], (76 ^ _198458) ^ [_201022, _201024, _201026, _201028] : [-(uniform_int_rnd(_201028, _201024) = uniform_int_rnd(_201026, _201022)), _201028 = _201026, _201024 = _201022], (86 ^ _198458) ^ [_201381, _201383, _201385, _201387] : [-(tptp_const_array1(_201387, _201383) = tptp_const_array1(_201385, _201381)), _201387 = _201385, _201383 = _201381], (96 ^ _198458) ^ [_201768, _201770, _201772, _201774, _201776, _201778] : [-(tptp_const_array2(_201778, _201774, _201770) = tptp_const_array2(_201776, _201772, _201768)), _201778 = _201776, _201774 = _201772, _201770 = _201768], (110 ^ _198458) ^ [_202256, _202258, _202260, _202262] : [-(dim(_202262, _202258) = dim(_202260, _202256)), _202262 = _202260, _202258 = _202256], (120 ^ _198458) ^ [_202587, _202589] : [_202589 = _202587, -(inv(_202589) = inv(_202587))], (126 ^ _198458) ^ [_202833, _202835, _202837, _202839] : [-(tptp_msub(_202839, _202835) = tptp_msub(_202837, _202833)), _202839 = _202837, _202835 = _202833], (136 ^ _198458) ^ [_203192, _203194, _203196, _203198] : [-(tptp_madd(_203198, _203194) = tptp_madd(_203196, _203192)), _203198 = _203196, _203194 = _203192], (146 ^ _198458) ^ [_203551, _203553, _203555, _203557] : [-(tptp_mmul(_203557, _203553) = tptp_mmul(_203555, _203551)), _203557 = _203555, _203553 = _203551], (156 ^ _198458) ^ [_203882, _203884] : [_203884 = _203882, -(trans(_203884) = trans(_203882))], (162 ^ _198458) ^ [_204156, _204158, _204160, _204162, _204164, _204166] : [-(sum(_204166, _204162, _204158) = sum(_204164, _204160, _204156)), _204166 = _204164, _204162 = _204160, _204158 = _204156], (176 ^ _198458) ^ [_204644, _204646, _204648, _204650] : [-(plus(_204650, _204646) = plus(_204648, _204644)), _204650 = _204648, _204646 = _204644], (186 ^ _198458) ^ [_204975, _204977] : [_204977 = _204975, -(pred(_204977) = pred(_204975))], (192 ^ _198458) ^ [_205249, _205251, _205253, _205255, _205257, _205259] : [-(a_select3(_205259, _205255, _205251) = a_select3(_205257, _205253, _205249)), _205259 = _205257, _205255 = _205253, _205251 = _205249], (206 ^ _198458) ^ [_205793, _205795, _205797, _205799, _205801, _205803, _205805, _205807] : [-(tptp_update3(_205807, _205803, _205799, _205795) = tptp_update3(_205805, _205801, _205797, _205793)), _205807 = _205805, _205803 = _205801, _205799 = _205797, _205795 = _205793], (224 ^ _198458) ^ [_206426, _206428, _206430, _206432] : [-(a_select2(_206432, _206428) = a_select2(_206430, _206426)), _206432 = _206430, _206428 = _206426], (234 ^ _198458) ^ [_206813, _206815, _206817, _206819, _206821, _206823] : [-(tptp_update2(_206823, _206819, _206815) = tptp_update2(_206821, _206817, _206813)), _206823 = _206821, _206819 = _206817, _206815 = _206813], (248 ^ _198458) ^ [_207273, _207275] : [_207275 = _207273, -(succ(_207275) = succ(_207273))], (254 ^ _198458) ^ [_207499, _207501, _207503, _207505] : [-(minus(_207505, _207501) = minus(_207503, _207499)), _207505 = _207503, _207501 = _207499], (869 ^ _198458) ^ [] : [-(gt(n5, n4))], (871 ^ _198458) ^ [] : [-(gt(n135300, n4))], (873 ^ _198458) ^ [] : [-(gt(n135300, n5))], (875 ^ _198458) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _198458) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _198458) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _198458) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _198458) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _198458) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _198458) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _198458) ^ [] : [-(gt(n4, n0))], (891 ^ _198458) ^ [] : [-(gt(n5, n0))], (893 ^ _198458) ^ [] : [-(gt(n135300, n0))], (895 ^ _198458) ^ [] : [-(gt(n1, n0))], (897 ^ _198458) ^ [] : [-(gt(n2, n0))], (899 ^ _198458) ^ [] : [-(gt(n3, n0))], (901 ^ _198458) ^ [] : [-(gt(n4, n1))], (903 ^ _198458) ^ [] : [-(gt(n5, n1))], (905 ^ _198458) ^ [] : [-(gt(n135300, n1))], (907 ^ _198458) ^ [] : [-(gt(n2, n1))], (909 ^ _198458) ^ [] : [-(gt(n3, n1))], (911 ^ _198458) ^ [] : [-(gt(n4, n2))], (913 ^ _198458) ^ [] : [-(gt(n5, n2))], (915 ^ _198458) ^ [] : [-(gt(n135300, n2))], (917 ^ _198458) ^ [] : [-(gt(n3, n2))], (919 ^ _198458) ^ [] : [-(gt(n4, n3))], (921 ^ _198458) ^ [] : [-(gt(n5, n3))], (923 ^ _198458) ^ [] : [-(gt(n135300, n3))], (925 ^ _198458) ^ [_235339] : [leq(n0, _235339), leq(_235339, n4), -(_235339 = n0), -(_235339 = n1), -(_235339 = n2), -(_235339 = n3), -(_235339 = n4)], (951 ^ _198458) ^ [_235960] : [leq(n0, _235960), leq(_235960, n5), -(_235960 = n0), -(_235960 = n1), -(_235960 = n2), -(_235960 = n3), -(_235960 = n4), -(_235960 = n5)], (981 ^ _198458) ^ [_236667] : [-(_236667 = n0), leq(n0, _236667), leq(_236667, n0)], (991 ^ _198458) ^ [_236942] : [leq(n0, _236942), leq(_236942, n1), -(_236942 = n0), -(_236942 = n1)], (1005 ^ _198458) ^ [_237305] : [leq(n0, _237305), leq(_237305, n2), -(_237305 = n0), -(_237305 = n1), -(_237305 = n2)], (1045 ^ _198458) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _198458) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _198458) ^ [] : [-(succ(n0) = n1)], (1051 ^ _198458) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _198458) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _198458) ^ [_237754] : [leq(n0, _237754), leq(_237754, n3), -(_237754 = n0), -(_237754 = n1), -(_237754 = n2), -(_237754 = n3)], (264 ^ _198458) ^ [_207930, _207932] : [-(gt(_207932, _207930)), -(gt(_207930, _207932)), -(_207932 = _207930)], (274 ^ _198458) ^ [_208245, _208247, _208249] : [-(gt(_208249, _208245)), gt(_208249, _208247), gt(_208247, _208245)], (284 ^ _198458) ^ [_208524] : [gt(_208524, _208524)], (286 ^ _198458) ^ [_208602] : [-(leq(_208602, _208602))], (288 ^ _198458) ^ [_208723, _208725, _208727] : [-(leq(_208727, _208723)), leq(_208727, _208725), leq(_208725, _208723)], (298 ^ _198458) ^ [_209061, _209063] : [lt(_209063, _209061), -(gt(_209061, _209063))], (304 ^ _198458) ^ [_209223, _209225] : [gt(_209223, _209225), -(lt(_209225, _209223))], (310 ^ _198458) ^ [_209464, _209466] : [geq(_209466, _209464), -(leq(_209464, _209466))], (316 ^ _198458) ^ [_209626, _209628] : [leq(_209626, _209628), -(geq(_209628, _209626))], (322 ^ _198458) ^ [_209838, _209840] : [gt(_209838, _209840), -(leq(_209840, _209838))], (328 ^ _198458) ^ [_210048, _210050] : [-(gt(_210048, _210050)), leq(_210050, _210048), -(_210050 = _210048)], (338 ^ _198458) ^ [_210379, _210381] : [leq(_210381, pred(_210379)), -(gt(_210379, _210381))], (344 ^ _198458) ^ [_210545, _210547] : [gt(_210545, _210547), -(leq(_210547, pred(_210545)))], (350 ^ _198458) ^ [_210732] : [-(gt(succ(_210732), _210732))], (352 ^ _198458) ^ [_210841, _210843] : [leq(_210843, _210841), -(leq(_210843, succ(_210841)))], (358 ^ _198458) ^ [_211084, _211086] : [leq(_211086, _211084), -(gt(succ(_211084), _211086))], (364 ^ _198458) ^ [_211250, _211252] : [gt(succ(_211250), _211252), -(leq(_211252, _211250))], (370 ^ _198458) ^ [_211466, _211468] : [leq(n0, _211468), -(leq(uniform_int_rnd(_211466, _211468), _211468))], (376 ^ _198458) ^ [_211682, _211684] : [leq(n0, _211684), -(leq(n0, uniform_int_rnd(_211682, _211684)))], (382 ^ _198458) ^ [_211926, _211928, _211930, _211932] : [-(a_select2(tptp_const_array1(dim(_211930, _211928), _211926), _211932) = _211926), leq(_211930, _211932), leq(_211932, _211928)], (392 ^ _198458) ^ [_212333, _212335, _212337, _212339, _212341, _212343, _212345] : [-(a_select3(tptp_const_array2(dim(_212343, _212341), dim(_212337, _212335), _212333), _212345, _212339) = _212333), leq(_212343, _212345), leq(_212345, _212341), leq(_212337, _212339), leq(_212339, _212335)], (410 ^ _198458) ^ [_212928, _212930] : [413 ^ _198458 : [(414 ^ _198458) ^ [] : [-(leq(n0, 411 ^ [_212928, _212930]))], (416 ^ _198458) ^ [] : [-(leq(411 ^ [_212928, _212930], _212928))], (418 ^ _198458) ^ [] : [-(leq(n0, 412 ^ [_212928, _212930]))], (420 ^ _198458) ^ [] : [-(leq(412 ^ [_212928, _212930], _212928))], (422 ^ _198458) ^ [] : [a_select3(_212930, 411 ^ [_212928, _212930], 412 ^ [_212928, _212930]) = a_select3(_212930, 412 ^ [_212928, _212930], 411 ^ [_212928, _212930])]], 423 ^ _198458 : [(424 ^ _198458) ^ [_213685, _213687] : [-(a_select3(trans(_212930), _213687, _213685) = a_select3(trans(_212930), _213685, _213687)), leq(n0, _213687), leq(_213687, _212928), leq(n0, _213685), leq(_213685, _212928)]]], (442 ^ _198458) ^ [_214232, _214234] : [445 ^ _198458 : [(446 ^ _198458) ^ [] : [-(leq(n0, 443 ^ [_214232, _214234]))], (448 ^ _198458) ^ [] : [-(leq(443 ^ [_214232, _214234], _214232))], (450 ^ _198458) ^ [] : [-(leq(n0, 444 ^ [_214232, _214234]))], (452 ^ _198458) ^ [] : [-(leq(444 ^ [_214232, _214234], _214232))], (454 ^ _198458) ^ [] : [a_select3(_214234, 443 ^ [_214232, _214234], 444 ^ [_214232, _214234]) = a_select3(_214234, 444 ^ [_214232, _214234], 443 ^ [_214232, _214234])]], 455 ^ _198458 : [(456 ^ _198458) ^ [_214989, _214991] : [-(a_select3(inv(_214234), _214991, _214989) = a_select3(inv(_214234), _214989, _214991)), leq(n0, _214991), leq(_214991, _214232), leq(n0, _214989), leq(_214989, _214232)]]], (474 ^ _198458) ^ [_215536, _215538] : [477 ^ _198458 : [(478 ^ _198458) ^ [] : [-(leq(n0, 475 ^ [_215536, _215538]))], (480 ^ _198458) ^ [] : [-(leq(475 ^ [_215536, _215538], _215536))], (482 ^ _198458) ^ [] : [-(leq(n0, 476 ^ [_215536, _215538]))], (484 ^ _198458) ^ [] : [-(leq(476 ^ [_215536, _215538], _215536))], (486 ^ _198458) ^ [] : [a_select3(_215538, 475 ^ [_215536, _215538], 476 ^ [_215536, _215538]) = a_select3(_215538, 476 ^ [_215536, _215538], 475 ^ [_215536, _215538])]], 487 ^ _198458 : [(488 ^ _198458) ^ [_216349, _216351, _216353, _216355] : [-(a_select3(tptp_update3(_215538, _216351, _216351, _216349), _216355, _216353) = a_select3(tptp_update3(_215538, _216351, _216351, _216349), _216353, _216355)), leq(n0, _216355), leq(_216355, _215536), leq(n0, _216353), leq(_216353, _215536), leq(n0, _216351), leq(_216351, _215536)]]], (514 ^ _198458) ^ [_217168, _217170, _217172] : [519 ^ _198458 : [(520 ^ _198458) ^ [] : [-(leq(n0, 517 ^ [_217168, _217170, _217172]))], (522 ^ _198458) ^ [] : [-(leq(517 ^ [_217168, _217170, _217172], _217168))], (524 ^ _198458) ^ [] : [-(leq(n0, 518 ^ [_217168, _217170, _217172]))], (526 ^ _198458) ^ [] : [-(leq(518 ^ [_217168, _217170, _217172], _217168))], (528 ^ _198458) ^ [] : [a_select3(_217172, 517 ^ [_217168, _217170, _217172], 518 ^ [_217168, _217170, _217172]) = a_select3(_217172, 518 ^ [_217168, _217170, _217172], 517 ^ [_217168, _217170, _217172])]], 531 ^ _198458 : [(532 ^ _198458) ^ [] : [-(leq(n0, 529 ^ [_217168, _217170, _217172]))], (534 ^ _198458) ^ [] : [-(leq(529 ^ [_217168, _217170, _217172], _217168))], (536 ^ _198458) ^ [] : [-(leq(n0, 530 ^ [_217168, _217170, _217172]))], (538 ^ _198458) ^ [] : [-(leq(530 ^ [_217168, _217170, _217172], _217168))], (540 ^ _198458) ^ [] : [a_select3(_217170, 529 ^ [_217168, _217170, _217172], 530 ^ [_217168, _217170, _217172]) = a_select3(_217170, 530 ^ [_217168, _217170, _217172], 529 ^ [_217168, _217170, _217172])]], 541 ^ _198458 : [(542 ^ _198458) ^ [_218677, _218679] : [-(a_select3(tptp_madd(_217172, _217170), _218679, _218677) = a_select3(tptp_madd(_217172, _217170), _218677, _218679)), leq(n0, _218679), leq(_218679, _217168), leq(n0, _218677), leq(_218677, _217168)]]], (560 ^ _198458) ^ [_219263, _219265, _219267] : [565 ^ _198458 : [(566 ^ _198458) ^ [] : [-(leq(n0, 563 ^ [_219263, _219265, _219267]))], (568 ^ _198458) ^ [] : [-(leq(563 ^ [_219263, _219265, _219267], _219263))], (570 ^ _198458) ^ [] : [-(leq(n0, 564 ^ [_219263, _219265, _219267]))], (572 ^ _198458) ^ [] : [-(leq(564 ^ [_219263, _219265, _219267], _219263))], (574 ^ _198458) ^ [] : [a_select3(_219267, 563 ^ [_219263, _219265, _219267], 564 ^ [_219263, _219265, _219267]) = a_select3(_219267, 564 ^ [_219263, _219265, _219267], 563 ^ [_219263, _219265, _219267])]], 577 ^ _198458 : [(578 ^ _198458) ^ [] : [-(leq(n0, 575 ^ [_219263, _219265, _219267]))], (580 ^ _198458) ^ [] : [-(leq(575 ^ [_219263, _219265, _219267], _219263))], (582 ^ _198458) ^ [] : [-(leq(n0, 576 ^ [_219263, _219265, _219267]))], (584 ^ _198458) ^ [] : [-(leq(576 ^ [_219263, _219265, _219267], _219263))], (586 ^ _198458) ^ [] : [a_select3(_219265, 575 ^ [_219263, _219265, _219267], 576 ^ [_219263, _219265, _219267]) = a_select3(_219265, 576 ^ [_219263, _219265, _219267], 575 ^ [_219263, _219265, _219267])]], 587 ^ _198458 : [(588 ^ _198458) ^ [_220772, _220774] : [-(a_select3(tptp_msub(_219267, _219265), _220774, _220772) = a_select3(tptp_msub(_219267, _219265), _220772, _220774)), leq(n0, _220774), leq(_220774, _219263), leq(n0, _220772), leq(_220772, _219263)]]], (606 ^ _198458) ^ [_221358, _221360, _221362] : [609 ^ _198458 : [(610 ^ _198458) ^ [] : [-(leq(n0, 607 ^ [_221358, _221360, _221362]))], (612 ^ _198458) ^ [] : [-(leq(607 ^ [_221358, _221360, _221362], _221358))], (614 ^ _198458) ^ [] : [-(leq(n0, 608 ^ [_221358, _221360, _221362]))], (616 ^ _198458) ^ [] : [-(leq(608 ^ [_221358, _221360, _221362], _221358))], (618 ^ _198458) ^ [] : [a_select3(_221360, 607 ^ [_221358, _221360, _221362], 608 ^ [_221358, _221360, _221362]) = a_select3(_221360, 608 ^ [_221358, _221360, _221362], 607 ^ [_221358, _221360, _221362])]], 619 ^ _198458 : [(620 ^ _198458) ^ [_222171, _222173] : [-(a_select3(tptp_mmul(_221362, tptp_mmul(_221360, trans(_221362))), _222173, _222171) = a_select3(tptp_mmul(_221362, tptp_mmul(_221360, trans(_221362))), _222171, _222173)), leq(n0, _222173), leq(_222173, _221358), leq(n0, _222171), leq(_222171, _221358)]]], (638 ^ _198458) ^ [_222790, _222792, _222794, _222796] : [641 ^ _198458 : [(642 ^ _198458) ^ [] : [-(leq(n0, 639 ^ [_222790, _222792, _222794, _222796]))], (644 ^ _198458) ^ [] : [-(leq(639 ^ [_222790, _222792, _222794, _222796], _222790))], (646 ^ _198458) ^ [] : [-(leq(n0, 640 ^ [_222790, _222792, _222794, _222796]))], (648 ^ _198458) ^ [] : [-(leq(640 ^ [_222790, _222792, _222794, _222796], _222790))], (650 ^ _198458) ^ [] : [a_select3(_222794, 639 ^ [_222790, _222792, _222794, _222796], 640 ^ [_222790, _222792, _222794, _222796]) = a_select3(_222794, 640 ^ [_222790, _222792, _222794, _222796], 639 ^ [_222790, _222792, _222794, _222796])]], 651 ^ _198458 : [(652 ^ _198458) ^ [_223647, _223649] : [-(a_select3(tptp_mmul(_222796, tptp_mmul(_222794, trans(_222796))), _223649, _223647) = a_select3(tptp_mmul(_222796, tptp_mmul(_222794, trans(_222796))), _223647, _223649)), leq(n0, _223649), leq(_223649, _222792), leq(n0, _223647), leq(_223647, _222792)]]], (670 ^ _198458) ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356] : [675 ^ _198458 : [(676 ^ _198458) ^ [] : [-(leq(n0, 673 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (678 ^ _198458) ^ [] : [-(leq(673 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224342))], (680 ^ _198458) ^ [] : [-(leq(n0, 674 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (682 ^ _198458) ^ [] : [-(leq(674 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224342))], (684 ^ _198458) ^ [] : [a_select3(_224350, 673 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 674 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]) = a_select3(_224350, 674 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 673 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356])]], 689 ^ _198458 : [(690 ^ _198458) ^ [] : [-(leq(n0, 687 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (692 ^ _198458) ^ [] : [-(leq(687 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224344))], (694 ^ _198458) ^ [] : [-(leq(n0, 688 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (696 ^ _198458) ^ [] : [-(leq(688 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224344))], (698 ^ _198458) ^ [] : [a_select3(_224356, 687 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 688 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]) = a_select3(_224356, 688 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 687 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356])]], 701 ^ _198458 : [(702 ^ _198458) ^ [] : [-(leq(n0, 699 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (704 ^ _198458) ^ [] : [-(leq(699 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224344))], (706 ^ _198458) ^ [] : [-(leq(n0, 700 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]))], (708 ^ _198458) ^ [] : [-(leq(700 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], _224344))], (710 ^ _198458) ^ [] : [a_select3(_224346, 699 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 700 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356]) = a_select3(_224346, 700 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356], 699 ^ [_224342, _224344, _224346, _224348, _224350, _224352, _224354, _224356])]], 711 ^ _198458 : [(712 ^ _198458) ^ [_227270, _227272] : [-(a_select3(tptp_madd(_224356, tptp_mmul(_224354, tptp_mmul(tptp_madd(tptp_mmul(_224352, tptp_mmul(_224350, trans(_224352))), tptp_mmul(_224348, tptp_mmul(_224346, trans(_224348)))), trans(_224354)))), _227272, _227270) = a_select3(tptp_madd(_224356, tptp_mmul(_224354, tptp_mmul(tptp_madd(tptp_mmul(_224352, tptp_mmul(_224350, trans(_224352))), tptp_mmul(_224348, tptp_mmul(_224346, trans(_224348)))), trans(_224354)))), _227270, _227272)), leq(n0, _227272), leq(_227272, _224344), leq(n0, _227270), leq(_227270, _224344)]]], (730 ^ _198458) ^ [_228023] : [-(sum(n0, tptp_minus_1, _228023) = n0)], (732 ^ _198458) ^ [_228105] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _228105))], (734 ^ _198458) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _198458) ^ [_228240] : [-(plus(_228240, n1) = succ(_228240))], (738 ^ _198458) ^ [_228323] : [-(plus(n1, _228323) = succ(_228323))], (740 ^ _198458) ^ [_228406] : [-(plus(_228406, n2) = succ(succ(_228406)))], (742 ^ _198458) ^ [_228491] : [-(plus(n2, _228491) = succ(succ(_228491)))], (744 ^ _198458) ^ [_228576] : [-(plus(_228576, n3) = succ(succ(succ(_228576))))], (746 ^ _198458) ^ [_228663] : [-(plus(n3, _228663) = succ(succ(succ(_228663))))], (748 ^ _198458) ^ [_228750] : [-(plus(_228750, n4) = succ(succ(succ(succ(_228750)))))], (750 ^ _198458) ^ [_228839] : [-(plus(n4, _228839) = succ(succ(succ(succ(_228839)))))], (752 ^ _198458) ^ [_228928] : [-(plus(_228928, n5) = succ(succ(succ(succ(succ(_228928))))))], (754 ^ _198458) ^ [_229019] : [-(plus(n5, _229019) = succ(succ(succ(succ(succ(_229019))))))], (756 ^ _198458) ^ [_229110] : [-(minus(_229110, n1) = pred(_229110))], (758 ^ _198458) ^ [_229193] : [-(pred(succ(_229193)) = _229193)], (760 ^ _198458) ^ [_229275] : [-(succ(pred(_229275)) = _229275)], (762 ^ _198458) ^ [_229415, _229417] : [leq(succ(_229417), succ(_229415)), -(leq(_229417, _229415))], (768 ^ _198458) ^ [_229585, _229587] : [leq(_229587, _229585), -(leq(succ(_229587), succ(_229585)))], (774 ^ _198458) ^ [_229805, _229807] : [leq(succ(_229807), _229805), -(gt(_229805, _229807))], (780 ^ _198458) ^ [_230019, _230021] : [leq(minus(_230021, _230019), _230021), -(leq(n0, _230019))], (786 ^ _198458) ^ [_230248, _230250, _230252, _230254] : [-(a_select3(tptp_update3(_230254, _230252, _230250, _230248), _230252, _230250) = _230248)], (788 ^ _198458) ^ [_230440, _230442, _230444, _230446, _230448, _230450, _230452] : [-(a_select3(tptp_update3(_230444, _230452, _230450, _230440), _230448, _230446) = _230442), -(_230452 = _230448), _230450 = _230446, a_select3(_230444, _230448, _230446) = _230442], (802 ^ _198458) ^ [_230983, _230985, _230987, _230989, _230991, _230993] : [-(a_select3(tptp_update3(_230985, _230989, _230987, _230983), _230993, _230991) = _230983), 807 ^ _198458 : [(808 ^ _198458) ^ [] : [-(leq(n0, 805 ^ [_230983, _230985, _230987, _230989, _230991, _230993]))], (810 ^ _198458) ^ [] : [-(leq(n0, 806 ^ [_230983, _230985, _230987, _230989, _230991, _230993]))], (812 ^ _198458) ^ [] : [-(leq(805 ^ [_230983, _230985, _230987, _230989, _230991, _230993], _230989))], (814 ^ _198458) ^ [] : [-(leq(806 ^ [_230983, _230985, _230987, _230989, _230991, _230993], _230987))], (816 ^ _198458) ^ [] : [a_select3(_230985, 805 ^ [_230983, _230985, _230987, _230989, _230991, _230993], 806 ^ [_230983, _230985, _230987, _230989, _230991, _230993]) = _230983]], leq(n0, _230993), leq(_230993, _230989), leq(n0, _230991), leq(_230991, _230987)], (834 ^ _198458) ^ [_232325, _232327, _232329] : [-(a_select2(tptp_update2(_232329, _232327, _232325), _232327) = _232325)], (836 ^ _198458) ^ [_232485, _232487, _232489, _232491, _232493] : [-(a_select2(tptp_update2(_232489, _232493, _232485), _232491) = _232487), -(_232493 = _232491), a_select2(_232489, _232491) = _232487], (865 ^ _198458) ^ [] : [-(true)], (867 ^ _198458) ^ [] : [def = use], (846 ^ _198458) ^ [_232865, _232867, _232869, _232871] : [-(a_select2(tptp_update2(_232867, _232869, _232865), _232871) = _232865), 850 ^ _198458 : [(851 ^ _198458) ^ [] : [-(leq(n0, 849 ^ [_232865, _232867, _232869, _232871]))], (853 ^ _198458) ^ [] : [-(leq(849 ^ [_232865, _232867, _232869, _232871], _232869))], (855 ^ _198458) ^ [] : [a_select2(_232867, 849 ^ [_232865, _232867, _232869, _232871]) = _232865]], leq(n0, _232871), leq(_232871, _232869)]], input).
% 0.37/1.40  ncf('1',plain,[leq(n0, pv31), leq(n0, pv36), leq(pv31, minus(n5, n1)), leq(pv36, minus(n135300, n1))],start(1063 ^ 0)).
% 0.37/1.40  ncf('1.1',plain,[-(leq(n0, pv31))],extension(1055 ^ 1)).
% 0.37/1.40  ncf('1.2',plain,[-(leq(n0, pv36))],extension(1057 ^ 1)).
% 0.37/1.40  ncf('1.3',plain,[-(leq(pv31, minus(n5, n1)))],extension(1059 ^ 1)).
% 0.37/1.40  ncf('1.4',plain,[-(leq(pv36, minus(n135300, n1)))],extension(1061 ^ 1)).
% 0.37/1.40  %-----------------------------------------------------
% 0.37/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------