%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV077+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV077+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 02:48:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1041 ^ _197094) ^ [] : [-(leq(n0, pv31))], (1043 ^ _197094) ^ [] : [-(leq(pv31, minus(n5, n1)))], (1045 ^ _197094) ^ [] : [leq(n0, pv31), leq(pv31, minus(n5, n1)), 1062 ^ _197094 : [(1063 ^ _197094) ^ [] : [-(n0 = pv40)], (1065 ^ _197094) ^ [] : [true]], 1054 ^ _197094 : [(1055 ^ _197094) ^ [] : [n0 = pv40], (1057 ^ _197094) ^ [] : [leq(n0, pv31), leq(pv31, minus(n5, n1))]]], (2 ^ _197094) ^ [_197238] : [-(_197238 = _197238)], (4 ^ _197094) ^ [_197345, _197347] : [_197347 = _197345, -(_197345 = _197347)], (10 ^ _197094) ^ [_197549, _197551, _197553] : [-(_197553 = _197549), _197553 = _197551, _197551 = _197549], (20 ^ _197094) ^ [_197890, _197892, _197894, _197896] : [-(lt(_197894, _197890)), lt(_197896, _197892), _197896 = _197894, _197892 = _197890], (34 ^ _197094) ^ [_198334, _198336, _198338, _198340] : [-(geq(_198338, _198334)), geq(_198340, _198336), _198340 = _198338, _198336 = _198334], (48 ^ _197094) ^ [_198778, _198780, _198782, _198784] : [-(gt(_198782, _198778)), gt(_198784, _198780), _198784 = _198782, _198780 = _198778], (62 ^ _197094) ^ [_199202, _199204, _199206, _199208] : [-(leq(_199206, _199202)), leq(_199208, _199204), _199208 = _199206, _199204 = _199202], (76 ^ _197094) ^ [_199658, _199660, _199662, _199664] : [-(uniform_int_rnd(_199664, _199660) = uniform_int_rnd(_199662, _199658)), _199664 = _199662, _199660 = _199658], (86 ^ _197094) ^ [_200017, _200019, _200021, _200023] : [-(tptp_const_array1(_200023, _200019) = tptp_const_array1(_200021, _200017)), _200023 = _200021, _200019 = _200017], (96 ^ _197094) ^ [_200404, _200406, _200408, _200410, _200412, _200414] : [-(tptp_const_array2(_200414, _200410, _200406) = tptp_const_array2(_200412, _200408, _200404)), _200414 = _200412, _200410 = _200408, _200406 = _200404], (110 ^ _197094) ^ [_200892, _200894, _200896, _200898] : [-(dim(_200898, _200894) = dim(_200896, _200892)), _200898 = _200896, _200894 = _200892], (120 ^ _197094) ^ [_201223, _201225] : [_201225 = _201223, -(inv(_201225) = inv(_201223))], (126 ^ _197094) ^ [_201469, _201471, _201473, _201475] : [-(tptp_msub(_201475, _201471) = tptp_msub(_201473, _201469)), _201475 = _201473, _201471 = _201469], (136 ^ _197094) ^ [_201828, _201830, _201832, _201834] : [-(tptp_madd(_201834, _201830) = tptp_madd(_201832, _201828)), _201834 = _201832, _201830 = _201828], (146 ^ _197094) ^ [_202187, _202189, _202191, _202193] : [-(tptp_mmul(_202193, _202189) = tptp_mmul(_202191, _202187)), _202193 = _202191, _202189 = _202187], (156 ^ _197094) ^ [_202518, _202520] : [_202520 = _202518, -(trans(_202520) = trans(_202518))], (162 ^ _197094) ^ [_202792, _202794, _202796, _202798, _202800, _202802] : [-(sum(_202802, _202798, _202794) = sum(_202800, _202796, _202792)), _202802 = _202800, _202798 = _202796, _202794 = _202792], (176 ^ _197094) ^ [_203280, _203282, _203284, _203286] : [-(plus(_203286, _203282) = plus(_203284, _203280)), _203286 = _203284, _203282 = _203280], (186 ^ _197094) ^ [_203611, _203613] : [_203613 = _203611, -(pred(_203613) = pred(_203611))], (192 ^ _197094) ^ [_203885, _203887, _203889, _203891, _203893, _203895] : [-(a_select3(_203895, _203891, _203887) = a_select3(_203893, _203889, _203885)), _203895 = _203893, _203891 = _203889, _203887 = _203885], (206 ^ _197094) ^ [_204429, _204431, _204433, _204435, _204437, _204439, _204441, _204443] : [-(tptp_update3(_204443, _204439, _204435, _204431) = tptp_update3(_204441, _204437, _204433, _204429)), _204443 = _204441, _204439 = _204437, _204435 = _204433, _204431 = _204429], (224 ^ _197094) ^ [_205062, _205064, _205066, _205068] : [-(a_select2(_205068, _205064) = a_select2(_205066, _205062)), _205068 = _205066, _205064 = _205062], (234 ^ _197094) ^ [_205449, _205451, _205453, _205455, _205457, _205459] : [-(tptp_update2(_205459, _205455, _205451) = tptp_update2(_205457, _205453, _205449)), _205459 = _205457, _205455 = _205453, _205451 = _205449], (248 ^ _197094) ^ [_205909, _205911] : [_205911 = _205909, -(succ(_205911) = succ(_205909))], (254 ^ _197094) ^ [_206135, _206137, _206139, _206141] : [-(minus(_206141, _206137) = minus(_206139, _206135)), _206141 = _206139, _206137 = _206135], (869 ^ _197094) ^ [] : [-(gt(n5, n4))], (871 ^ _197094) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _197094) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _197094) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _197094) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _197094) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _197094) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _197094) ^ [] : [-(gt(n4, n0))], (885 ^ _197094) ^ [] : [-(gt(n5, n0))], (887 ^ _197094) ^ [] : [-(gt(n1, n0))], (889 ^ _197094) ^ [] : [-(gt(n2, n0))], (891 ^ _197094) ^ [] : [-(gt(n3, n0))], (893 ^ _197094) ^ [] : [-(gt(n4, n1))], (895 ^ _197094) ^ [] : [-(gt(n5, n1))], (897 ^ _197094) ^ [] : [-(gt(n2, n1))], (899 ^ _197094) ^ [] : [-(gt(n3, n1))], (901 ^ _197094) ^ [] : [-(gt(n4, n2))], (903 ^ _197094) ^ [] : [-(gt(n5, n2))], (905 ^ _197094) ^ [] : [-(gt(n3, n2))], (907 ^ _197094) ^ [] : [-(gt(n4, n3))], (909 ^ _197094) ^ [] : [-(gt(n5, n3))], (911 ^ _197094) ^ [_233604] : [leq(n0, _233604), leq(_233604, n4), -(_233604 = n0), -(_233604 = n1), -(_233604 = n2), -(_233604 = n3), -(_233604 = n4)], (937 ^ _197094) ^ [_234225] : [leq(n0, _234225), leq(_234225, n5), -(_234225 = n0), -(_234225 = n1), -(_234225 = n2), -(_234225 = n3), -(_234225 = n4), -(_234225 = n5)], (967 ^ _197094) ^ [_234932] : [-(_234932 = n0), leq(n0, _234932), leq(_234932, n0)], (977 ^ _197094) ^ [_235207] : [leq(n0, _235207), leq(_235207, n1), -(_235207 = n0), -(_235207 = n1)], (991 ^ _197094) ^ [_235570] : [leq(n0, _235570), leq(_235570, n2), -(_235570 = n0), -(_235570 = n1), -(_235570 = n2)], (1031 ^ _197094) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _197094) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _197094) ^ [] : [-(succ(n0) = n1)], (1037 ^ _197094) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _197094) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _197094) ^ [_236019] : [leq(n0, _236019), leq(_236019, n3), -(_236019 = n0), -(_236019 = n1), -(_236019 = n2), -(_236019 = n3)], (264 ^ _197094) ^ [_206566, _206568] : [-(gt(_206568, _206566)), -(gt(_206566, _206568)), -(_206568 = _206566)], (274 ^ _197094) ^ [_206881, _206883, _206885] : [-(gt(_206885, _206881)), gt(_206885, _206883), gt(_206883, _206881)], (284 ^ _197094) ^ [_207160] : [gt(_207160, _207160)], (286 ^ _197094) ^ [_207238] : [-(leq(_207238, _207238))], (288 ^ _197094) ^ [_207359, _207361, _207363] : [-(leq(_207363, _207359)), leq(_207363, _207361), leq(_207361, _207359)], (298 ^ _197094) ^ [_207697, _207699] : [lt(_207699, _207697), -(gt(_207697, _207699))], (304 ^ _197094) ^ [_207859, _207861] : [gt(_207859, _207861), -(lt(_207861, _207859))], (310 ^ _197094) ^ [_208100, _208102] : [geq(_208102, _208100), -(leq(_208100, _208102))], (316 ^ _197094) ^ [_208262, _208264] : [leq(_208262, _208264), -(geq(_208264, _208262))], (322 ^ _197094) ^ [_208474, _208476] : [gt(_208474, _208476), -(leq(_208476, _208474))], (328 ^ _197094) ^ [_208684, _208686] : [-(gt(_208684, _208686)), leq(_208686, _208684), -(_208686 = _208684)], (338 ^ _197094) ^ [_209015, _209017] : [leq(_209017, pred(_209015)), -(gt(_209015, _209017))], (344 ^ _197094) ^ [_209181, _209183] : [gt(_209181, _209183), -(leq(_209183, pred(_209181)))], (350 ^ _197094) ^ [_209368] : [-(gt(succ(_209368), _209368))], (352 ^ _197094) ^ [_209477, _209479] : [leq(_209479, _209477), -(leq(_209479, succ(_209477)))], (358 ^ _197094) ^ [_209720, _209722] : [leq(_209722, _209720), -(gt(succ(_209720), _209722))], (364 ^ _197094) ^ [_209886, _209888] : [gt(succ(_209886), _209888), -(leq(_209888, _209886))], (370 ^ _197094) ^ [_210102, _210104] : [leq(n0, _210104), -(leq(uniform_int_rnd(_210102, _210104), _210104))], (376 ^ _197094) ^ [_210318, _210320] : [leq(n0, _210320), -(leq(n0, uniform_int_rnd(_210318, _210320)))], (382 ^ _197094) ^ [_210562, _210564, _210566, _210568] : [-(a_select2(tptp_const_array1(dim(_210566, _210564), _210562), _210568) = _210562), leq(_210566, _210568), leq(_210568, _210564)], (392 ^ _197094) ^ [_210969, _210971, _210973, _210975, _210977, _210979, _210981] : [-(a_select3(tptp_const_array2(dim(_210979, _210977), dim(_210973, _210971), _210969), _210981, _210975) = _210969), leq(_210979, _210981), leq(_210981, _210977), leq(_210973, _210975), leq(_210975, _210971)], (410 ^ _197094) ^ [_211564, _211566] : [413 ^ _197094 : [(414 ^ _197094) ^ [] : [-(leq(n0, 411 ^ [_211564, _211566]))], (416 ^ _197094) ^ [] : [-(leq(411 ^ [_211564, _211566], _211564))], (418 ^ _197094) ^ [] : [-(leq(n0, 412 ^ [_211564, _211566]))], (420 ^ _197094) ^ [] : [-(leq(412 ^ [_211564, _211566], _211564))], (422 ^ _197094) ^ [] : [a_select3(_211566, 411 ^ [_211564, _211566], 412 ^ [_211564, _211566]) = a_select3(_211566, 412 ^ [_211564, _211566], 411 ^ [_211564, _211566])]], 423 ^ _197094 : [(424 ^ _197094) ^ [_212321, _212323] : [-(a_select3(trans(_211566), _212323, _212321) = a_select3(trans(_211566), _212321, _212323)), leq(n0, _212323), leq(_212323, _211564), leq(n0, _212321), leq(_212321, _211564)]]], (442 ^ _197094) ^ [_212868, _212870] : [445 ^ _197094 : [(446 ^ _197094) ^ [] : [-(leq(n0, 443 ^ [_212868, _212870]))], (448 ^ _197094) ^ [] : [-(leq(443 ^ [_212868, _212870], _212868))], (450 ^ _197094) ^ [] : [-(leq(n0, 444 ^ [_212868, _212870]))], (452 ^ _197094) ^ [] : [-(leq(444 ^ [_212868, _212870], _212868))], (454 ^ _197094) ^ [] : [a_select3(_212870, 443 ^ [_212868, _212870], 444 ^ [_212868, _212870]) = a_select3(_212870, 444 ^ [_212868, _212870], 443 ^ [_212868, _212870])]], 455 ^ _197094 : [(456 ^ _197094) ^ [_213625, _213627] : [-(a_select3(inv(_212870), _213627, _213625) = a_select3(inv(_212870), _213625, _213627)), leq(n0, _213627), leq(_213627, _212868), leq(n0, _213625), leq(_213625, _212868)]]], (474 ^ _197094) ^ [_214172, _214174] : [477 ^ _197094 : [(478 ^ _197094) ^ [] : [-(leq(n0, 475 ^ [_214172, _214174]))], (480 ^ _197094) ^ [] : [-(leq(475 ^ [_214172, _214174], _214172))], (482 ^ _197094) ^ [] : [-(leq(n0, 476 ^ [_214172, _214174]))], (484 ^ _197094) ^ [] : [-(leq(476 ^ [_214172, _214174], _214172))], (486 ^ _197094) ^ [] : [a_select3(_214174, 475 ^ [_214172, _214174], 476 ^ [_214172, _214174]) = a_select3(_214174, 476 ^ [_214172, _214174], 475 ^ [_214172, _214174])]], 487 ^ _197094 : [(488 ^ _197094) ^ [_214985, _214987, _214989, _214991] : [-(a_select3(tptp_update3(_214174, _214987, _214987, _214985), _214991, _214989) = a_select3(tptp_update3(_214174, _214987, _214987, _214985), _214989, _214991)), leq(n0, _214991), leq(_214991, _214172), leq(n0, _214989), leq(_214989, _214172), leq(n0, _214987), leq(_214987, _214172)]]], (514 ^ _197094) ^ [_215804, _215806, _215808] : [519 ^ _197094 : [(520 ^ _197094) ^ [] : [-(leq(n0, 517 ^ [_215804, _215806, _215808]))], (522 ^ _197094) ^ [] : [-(leq(517 ^ [_215804, _215806, _215808], _215804))], (524 ^ _197094) ^ [] : [-(leq(n0, 518 ^ [_215804, _215806, _215808]))], (526 ^ _197094) ^ [] : [-(leq(518 ^ [_215804, _215806, _215808], _215804))], (528 ^ _197094) ^ [] : [a_select3(_215808, 517 ^ [_215804, _215806, _215808], 518 ^ [_215804, _215806, _215808]) = a_select3(_215808, 518 ^ [_215804, _215806, _215808], 517 ^ [_215804, _215806, _215808])]], 531 ^ _197094 : [(532 ^ _197094) ^ [] : [-(leq(n0, 529 ^ [_215804, _215806, _215808]))], (534 ^ _197094) ^ [] : [-(leq(529 ^ [_215804, _215806, _215808], _215804))], (536 ^ _197094) ^ [] : [-(leq(n0, 530 ^ [_215804, _215806, _215808]))], (538 ^ _197094) ^ [] : [-(leq(530 ^ [_215804, _215806, _215808], _215804))], (540 ^ _197094) ^ [] : [a_select3(_215806, 529 ^ [_215804, _215806, _215808], 530 ^ [_215804, _215806, _215808]) = a_select3(_215806, 530 ^ [_215804, _215806, _215808], 529 ^ [_215804, _215806, _215808])]], 541 ^ _197094 : [(542 ^ _197094) ^ [_217313, _217315] : [-(a_select3(tptp_madd(_215808, _215806), _217315, _217313) = a_select3(tptp_madd(_215808, _215806), _217313, _217315)), leq(n0, _217315), leq(_217315, _215804), leq(n0, _217313), leq(_217313, _215804)]]], (560 ^ _197094) ^ [_217899, _217901, _217903] : [565 ^ _197094 : [(566 ^ _197094) ^ [] : [-(leq(n0, 563 ^ [_217899, _217901, _217903]))], (568 ^ _197094) ^ [] : [-(leq(563 ^ [_217899, _217901, _217903], _217899))], (570 ^ _197094) ^ [] : [-(leq(n0, 564 ^ [_217899, _217901, _217903]))], (572 ^ _197094) ^ [] : [-(leq(564 ^ [_217899, _217901, _217903], _217899))], (574 ^ _197094) ^ [] : [a_select3(_217903, 563 ^ [_217899, _217901, _217903], 564 ^ [_217899, _217901, _217903]) = a_select3(_217903, 564 ^ [_217899, _217901, _217903], 563 ^ [_217899, _217901, _217903])]], 577 ^ _197094 : [(578 ^ _197094) ^ [] : [-(leq(n0, 575 ^ [_217899, _217901, _217903]))], (580 ^ _197094) ^ [] : [-(leq(575 ^ [_217899, _217901, _217903], _217899))], (582 ^ _197094) ^ [] : [-(leq(n0, 576 ^ [_217899, _217901, _217903]))], (584 ^ _197094) ^ [] : [-(leq(576 ^ [_217899, _217901, _217903], _217899))], (586 ^ _197094) ^ [] : [a_select3(_217901, 575 ^ [_217899, _217901, _217903], 576 ^ [_217899, _217901, _217903]) = a_select3(_217901, 576 ^ [_217899, _217901, _217903], 575 ^ [_217899, _217901, _217903])]], 587 ^ _197094 : [(588 ^ _197094) ^ [_219408, _219410] : [-(a_select3(tptp_msub(_217903, _217901), _219410, _219408) = a_select3(tptp_msub(_217903, _217901), _219408, _219410)), leq(n0, _219410), leq(_219410, _217899), leq(n0, _219408), leq(_219408, _217899)]]], (606 ^ _197094) ^ [_219994, _219996, _219998] : [609 ^ _197094 : [(610 ^ _197094) ^ [] : [-(leq(n0, 607 ^ [_219994, _219996, _219998]))], (612 ^ _197094) ^ [] : [-(leq(607 ^ [_219994, _219996, _219998], _219994))], (614 ^ _197094) ^ [] : [-(leq(n0, 608 ^ [_219994, _219996, _219998]))], (616 ^ _197094) ^ [] : [-(leq(608 ^ [_219994, _219996, _219998], _219994))], (618 ^ _197094) ^ [] : [a_select3(_219996, 607 ^ [_219994, _219996, _219998], 608 ^ [_219994, _219996, _219998]) = a_select3(_219996, 608 ^ [_219994, _219996, _219998], 607 ^ [_219994, _219996, _219998])]], 619 ^ _197094 : [(620 ^ _197094) ^ [_220807, _220809] : [-(a_select3(tptp_mmul(_219998, tptp_mmul(_219996, trans(_219998))), _220809, _220807) = a_select3(tptp_mmul(_219998, tptp_mmul(_219996, trans(_219998))), _220807, _220809)), leq(n0, _220809), leq(_220809, _219994), leq(n0, _220807), leq(_220807, _219994)]]], (638 ^ _197094) ^ [_221426, _221428, _221430, _221432] : [641 ^ _197094 : [(642 ^ _197094) ^ [] : [-(leq(n0, 639 ^ [_221426, _221428, _221430, _221432]))], (644 ^ _197094) ^ [] : [-(leq(639 ^ [_221426, _221428, _221430, _221432], _221426))], (646 ^ _197094) ^ [] : [-(leq(n0, 640 ^ [_221426, _221428, _221430, _221432]))], (648 ^ _197094) ^ [] : [-(leq(640 ^ [_221426, _221428, _221430, _221432], _221426))], (650 ^ _197094) ^ [] : [a_select3(_221430, 639 ^ [_221426, _221428, _221430, _221432], 640 ^ [_221426, _221428, _221430, _221432]) = a_select3(_221430, 640 ^ [_221426, _221428, _221430, _221432], 639 ^ [_221426, _221428, _221430, _221432])]], 651 ^ _197094 : [(652 ^ _197094) ^ [_222283, _222285] : [-(a_select3(tptp_mmul(_221432, tptp_mmul(_221430, trans(_221432))), _222285, _222283) = a_select3(tptp_mmul(_221432, tptp_mmul(_221430, trans(_221432))), _222283, _222285)), leq(n0, _222285), leq(_222285, _221428), leq(n0, _222283), leq(_222283, _221428)]]], (670 ^ _197094) ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992] : [675 ^ _197094 : [(676 ^ _197094) ^ [] : [-(leq(n0, 673 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (678 ^ _197094) ^ [] : [-(leq(673 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222978))], (680 ^ _197094) ^ [] : [-(leq(n0, 674 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (682 ^ _197094) ^ [] : [-(leq(674 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222978))], (684 ^ _197094) ^ [] : [a_select3(_222986, 673 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 674 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]) = a_select3(_222986, 674 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 673 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992])]], 689 ^ _197094 : [(690 ^ _197094) ^ [] : [-(leq(n0, 687 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (692 ^ _197094) ^ [] : [-(leq(687 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222980))], (694 ^ _197094) ^ [] : [-(leq(n0, 688 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (696 ^ _197094) ^ [] : [-(leq(688 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222980))], (698 ^ _197094) ^ [] : [a_select3(_222992, 687 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 688 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]) = a_select3(_222992, 688 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 687 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992])]], 701 ^ _197094 : [(702 ^ _197094) ^ [] : [-(leq(n0, 699 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (704 ^ _197094) ^ [] : [-(leq(699 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222980))], (706 ^ _197094) ^ [] : [-(leq(n0, 700 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]))], (708 ^ _197094) ^ [] : [-(leq(700 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], _222980))], (710 ^ _197094) ^ [] : [a_select3(_222982, 699 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 700 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992]) = a_select3(_222982, 700 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992], 699 ^ [_222978, _222980, _222982, _222984, _222986, _222988, _222990, _222992])]], 711 ^ _197094 : [(712 ^ _197094) ^ [_225906, _225908] : [-(a_select3(tptp_madd(_222992, tptp_mmul(_222990, tptp_mmul(tptp_madd(tptp_mmul(_222988, tptp_mmul(_222986, trans(_222988))), tptp_mmul(_222984, tptp_mmul(_222982, trans(_222984)))), trans(_222990)))), _225908, _225906) = a_select3(tptp_madd(_222992, tptp_mmul(_222990, tptp_mmul(tptp_madd(tptp_mmul(_222988, tptp_mmul(_222986, trans(_222988))), tptp_mmul(_222984, tptp_mmul(_222982, trans(_222984)))), trans(_222990)))), _225906, _225908)), leq(n0, _225908), leq(_225908, _222980), leq(n0, _225906), leq(_225906, _222980)]]], (730 ^ _197094) ^ [_226659] : [-(sum(n0, tptp_minus_1, _226659) = n0)], (732 ^ _197094) ^ [_226741] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226741))], (734 ^ _197094) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _197094) ^ [_226876] : [-(plus(_226876, n1) = succ(_226876))], (738 ^ _197094) ^ [_226959] : [-(plus(n1, _226959) = succ(_226959))], (740 ^ _197094) ^ [_227042] : [-(plus(_227042, n2) = succ(succ(_227042)))], (742 ^ _197094) ^ [_227127] : [-(plus(n2, _227127) = succ(succ(_227127)))], (744 ^ _197094) ^ [_227212] : [-(plus(_227212, n3) = succ(succ(succ(_227212))))], (746 ^ _197094) ^ [_227299] : [-(plus(n3, _227299) = succ(succ(succ(_227299))))], (748 ^ _197094) ^ [_227386] : [-(plus(_227386, n4) = succ(succ(succ(succ(_227386)))))], (750 ^ _197094) ^ [_227475] : [-(plus(n4, _227475) = succ(succ(succ(succ(_227475)))))], (752 ^ _197094) ^ [_227564] : [-(plus(_227564, n5) = succ(succ(succ(succ(succ(_227564))))))], (754 ^ _197094) ^ [_227655] : [-(plus(n5, _227655) = succ(succ(succ(succ(succ(_227655))))))], (756 ^ _197094) ^ [_227746] : [-(minus(_227746, n1) = pred(_227746))], (758 ^ _197094) ^ [_227829] : [-(pred(succ(_227829)) = _227829)], (760 ^ _197094) ^ [_227911] : [-(succ(pred(_227911)) = _227911)], (762 ^ _197094) ^ [_228051, _228053] : [leq(succ(_228053), succ(_228051)), -(leq(_228053, _228051))], (768 ^ _197094) ^ [_228221, _228223] : [leq(_228223, _228221), -(leq(succ(_228223), succ(_228221)))], (774 ^ _197094) ^ [_228441, _228443] : [leq(succ(_228443), _228441), -(gt(_228441, _228443))], (780 ^ _197094) ^ [_228655, _228657] : [leq(minus(_228657, _228655), _228657), -(leq(n0, _228655))], (786 ^ _197094) ^ [_228884, _228886, _228888, _228890] : [-(a_select3(tptp_update3(_228890, _228888, _228886, _228884), _228888, _228886) = _228884)], (788 ^ _197094) ^ [_229076, _229078, _229080, _229082, _229084, _229086, _229088] : [-(a_select3(tptp_update3(_229080, _229088, _229086, _229076), _229084, _229082) = _229078), -(_229088 = _229084), _229086 = _229082, a_select3(_229080, _229084, _229082) = _229078], (802 ^ _197094) ^ [_229619, _229621, _229623, _229625, _229627, _229629] : [-(a_select3(tptp_update3(_229621, _229625, _229623, _229619), _229629, _229627) = _229619), 807 ^ _197094 : [(808 ^ _197094) ^ [] : [-(leq(n0, 805 ^ [_229619, _229621, _229623, _229625, _229627, _229629]))], (810 ^ _197094) ^ [] : [-(leq(n0, 806 ^ [_229619, _229621, _229623, _229625, _229627, _229629]))], (812 ^ _197094) ^ [] : [-(leq(805 ^ [_229619, _229621, _229623, _229625, _229627, _229629], _229625))], (814 ^ _197094) ^ [] : [-(leq(806 ^ [_229619, _229621, _229623, _229625, _229627, _229629], _229623))], (816 ^ _197094) ^ [] : [a_select3(_229621, 805 ^ [_229619, _229621, _229623, _229625, _229627, _229629], 806 ^ [_229619, _229621, _229623, _229625, _229627, _229629]) = _229619]], leq(n0, _229629), leq(_229629, _229625), leq(n0, _229627), leq(_229627, _229623)], (834 ^ _197094) ^ [_230961, _230963, _230965] : [-(a_select2(tptp_update2(_230965, _230963, _230961), _230963) = _230961)], (836 ^ _197094) ^ [_231121, _231123, _231125, _231127, _231129] : [-(a_select2(tptp_update2(_231125, _231129, _231121), _231127) = _231123), -(_231129 = _231127), a_select2(_231125, _231127) = _231123], (865 ^ _197094) ^ [] : [-(true)], (867 ^ _197094) ^ [] : [def = use], (846 ^ _197094) ^ [_231501, _231503, _231505, _231507] : [-(a_select2(tptp_update2(_231503, _231505, _231501), _231507) = _231501), 850 ^ _197094 : [(851 ^ _197094) ^ [] : [-(leq(n0, 849 ^ [_231501, _231503, _231505, _231507]))], (853 ^ _197094) ^ [] : [-(leq(849 ^ [_231501, _231503, _231505, _231507], _231505))], (855 ^ _197094) ^ [] : [a_select2(_231503, 849 ^ [_231501, _231503, _231505, _231507]) = _231501]], leq(n0, _231507), leq(_231507, _231505)]], input).
% 0.33/1.38  ncf('1',plain,[leq(n0, pv31), leq(pv31, minus(n5, n1)), 1065 : true, 1057 : leq(n0, pv31), 1057 : leq(pv31, minus(n5, n1))],start(1045 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(leq(n0, pv31))],extension(1041 ^ 1)).
% 0.33/1.38  ncf('1.2',plain,[-(leq(pv31, minus(n5, n1)))],extension(1043 ^ 1)).
% 0.33/1.38  ncf('1.3',plain,[-(true)],extension(865 ^ 3)).
% 0.33/1.38  ncf('1.4',plain,[-(leq(n0, pv31))],lemmata('x')).
% 0.33/1.38  ncf('1.5',plain,[-(leq(pv31, minus(n5, n1)))],lemmata('x')).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------