%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV023+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 12:19:47 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 : SWV023+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.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 02:19:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(1073 ^ _198339) ^ [] : [true], (1041 ^ _198339) ^ [] : [-(i0_init = init)], (1043 ^ _198339) ^ [] : [-(sigma_init = init)], (1063 ^ _198339) ^ [_238872] : [-(a_select2(s_values7_init, _238872) = init), leq(n0, _238872), leq(_238872, n3)], (1045 ^ _198339) ^ [_238362] : [leq(n0, _238362), leq(_238362, n2), 1052 ^ _198339 : [(1053 ^ _198339) ^ [_238590] : [-(a_select3(simplex7_init, _238590, _238362) = init), leq(n0, _238590), leq(_238590, n3)]]], (2 ^ _198339) ^ [_198483] : [-(_198483 = _198483)], (4 ^ _198339) ^ [_198590, _198592] : [_198592 = _198590, -(_198590 = _198592)], (10 ^ _198339) ^ [_198794, _198796, _198798] : [-(_198798 = _198794), _198798 = _198796, _198796 = _198794], (20 ^ _198339) ^ [_199135, _199137, _199139, _199141] : [-(lt(_199139, _199135)), lt(_199141, _199137), _199141 = _199139, _199137 = _199135], (34 ^ _198339) ^ [_199579, _199581, _199583, _199585] : [-(geq(_199583, _199579)), geq(_199585, _199581), _199585 = _199583, _199581 = _199579], (48 ^ _198339) ^ [_200023, _200025, _200027, _200029] : [-(gt(_200027, _200023)), gt(_200029, _200025), _200029 = _200027, _200025 = _200023], (62 ^ _198339) ^ [_200447, _200449, _200451, _200453] : [-(leq(_200451, _200447)), leq(_200453, _200449), _200453 = _200451, _200449 = _200447], (76 ^ _198339) ^ [_200903, _200905, _200907, _200909] : [-(uniform_int_rnd(_200909, _200905) = uniform_int_rnd(_200907, _200903)), _200909 = _200907, _200905 = _200903], (86 ^ _198339) ^ [_201262, _201264, _201266, _201268] : [-(tptp_const_array1(_201268, _201264) = tptp_const_array1(_201266, _201262)), _201268 = _201266, _201264 = _201262], (96 ^ _198339) ^ [_201649, _201651, _201653, _201655, _201657, _201659] : [-(tptp_const_array2(_201659, _201655, _201651) = tptp_const_array2(_201657, _201653, _201649)), _201659 = _201657, _201655 = _201653, _201651 = _201649], (110 ^ _198339) ^ [_202137, _202139, _202141, _202143] : [-(dim(_202143, _202139) = dim(_202141, _202137)), _202143 = _202141, _202139 = _202137], (120 ^ _198339) ^ [_202468, _202470] : [_202470 = _202468, -(inv(_202470) = inv(_202468))], (126 ^ _198339) ^ [_202714, _202716, _202718, _202720] : [-(tptp_msub(_202720, _202716) = tptp_msub(_202718, _202714)), _202720 = _202718, _202716 = _202714], (136 ^ _198339) ^ [_203073, _203075, _203077, _203079] : [-(tptp_madd(_203079, _203075) = tptp_madd(_203077, _203073)), _203079 = _203077, _203075 = _203073], (146 ^ _198339) ^ [_203432, _203434, _203436, _203438] : [-(tptp_mmul(_203438, _203434) = tptp_mmul(_203436, _203432)), _203438 = _203436, _203434 = _203432], (156 ^ _198339) ^ [_203763, _203765] : [_203765 = _203763, -(trans(_203765) = trans(_203763))], (162 ^ _198339) ^ [_204037, _204039, _204041, _204043, _204045, _204047] : [-(sum(_204047, _204043, _204039) = sum(_204045, _204041, _204037)), _204047 = _204045, _204043 = _204041, _204039 = _204037], (176 ^ _198339) ^ [_204525, _204527, _204529, _204531] : [-(plus(_204531, _204527) = plus(_204529, _204525)), _204531 = _204529, _204527 = _204525], (186 ^ _198339) ^ [_204856, _204858] : [_204858 = _204856, -(pred(_204858) = pred(_204856))], (192 ^ _198339) ^ [_205102, _205104, _205106, _205108] : [-(minus(_205108, _205104) = minus(_205106, _205102)), _205108 = _205106, _205104 = _205102], (202 ^ _198339) ^ [_205517, _205519, _205521, _205523, _205525, _205527, _205529, _205531] : [-(tptp_update3(_205531, _205527, _205523, _205519) = tptp_update3(_205529, _205525, _205521, _205517)), _205531 = _205529, _205527 = _205525, _205523 = _205521, _205519 = _205517], (220 ^ _198339) ^ [_206178, _206180, _206182, _206184, _206186, _206188] : [-(tptp_update2(_206188, _206184, _206180) = tptp_update2(_206186, _206182, _206178)), _206188 = _206186, _206184 = _206182, _206180 = _206178], (234 ^ _198339) ^ [_206638, _206640] : [_206640 = _206638, -(succ(_206640) = succ(_206638))], (254 ^ _198339) ^ [_207380, _207382, _207384, _207386] : [-(a_select2(_207386, _207382) = a_select2(_207384, _207380)), _207386 = _207384, _207382 = _207380], (240 ^ _198339) ^ [_206912, _206914, _206916, _206918, _206920, _206922] : [-(a_select3(_206922, _206918, _206914) = a_select3(_206920, _206916, _206912)), _206922 = _206920, _206918 = _206916, _206914 = _206912], (869 ^ _198339) ^ [] : [-(gt(n5, n4))], (871 ^ _198339) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _198339) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _198339) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _198339) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _198339) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _198339) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _198339) ^ [] : [-(gt(n4, n0))], (885 ^ _198339) ^ [] : [-(gt(n5, n0))], (887 ^ _198339) ^ [] : [-(gt(n1, n0))], (889 ^ _198339) ^ [] : [-(gt(n2, n0))], (891 ^ _198339) ^ [] : [-(gt(n3, n0))], (893 ^ _198339) ^ [] : [-(gt(n4, n1))], (895 ^ _198339) ^ [] : [-(gt(n5, n1))], (897 ^ _198339) ^ [] : [-(gt(n2, n1))], (899 ^ _198339) ^ [] : [-(gt(n3, n1))], (901 ^ _198339) ^ [] : [-(gt(n4, n2))], (903 ^ _198339) ^ [] : [-(gt(n5, n2))], (905 ^ _198339) ^ [] : [-(gt(n3, n2))], (907 ^ _198339) ^ [] : [-(gt(n4, n3))], (909 ^ _198339) ^ [] : [-(gt(n5, n3))], (911 ^ _198339) ^ [_234849] : [leq(n0, _234849), leq(_234849, n4), -(_234849 = n0), -(_234849 = n1), -(_234849 = n2), -(_234849 = n3), -(_234849 = n4)], (937 ^ _198339) ^ [_235470] : [leq(n0, _235470), leq(_235470, n5), -(_235470 = n0), -(_235470 = n1), -(_235470 = n2), -(_235470 = n3), -(_235470 = n4), -(_235470 = n5)], (967 ^ _198339) ^ [_236177] : [-(_236177 = n0), leq(n0, _236177), leq(_236177, n0)], (977 ^ _198339) ^ [_236452] : [leq(n0, _236452), leq(_236452, n1), -(_236452 = n0), -(_236452 = n1)], (991 ^ _198339) ^ [_236815] : [leq(n0, _236815), leq(_236815, n2), -(_236815 = n0), -(_236815 = n1), -(_236815 = n2)], (1031 ^ _198339) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _198339) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _198339) ^ [] : [-(succ(n0) = n1)], (1037 ^ _198339) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _198339) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _198339) ^ [_237264] : [leq(n0, _237264), leq(_237264, n3), -(_237264 = n0), -(_237264 = n1), -(_237264 = n2), -(_237264 = n3)], (264 ^ _198339) ^ [_207811, _207813] : [-(gt(_207813, _207811)), -(gt(_207811, _207813)), -(_207813 = _207811)], (274 ^ _198339) ^ [_208126, _208128, _208130] : [-(gt(_208130, _208126)), gt(_208130, _208128), gt(_208128, _208126)], (284 ^ _198339) ^ [_208405] : [gt(_208405, _208405)], (286 ^ _198339) ^ [_208483] : [-(leq(_208483, _208483))], (288 ^ _198339) ^ [_208604, _208606, _208608] : [-(leq(_208608, _208604)), leq(_208608, _208606), leq(_208606, _208604)], (298 ^ _198339) ^ [_208942, _208944] : [lt(_208944, _208942), -(gt(_208942, _208944))], (304 ^ _198339) ^ [_209104, _209106] : [gt(_209104, _209106), -(lt(_209106, _209104))], (310 ^ _198339) ^ [_209345, _209347] : [geq(_209347, _209345), -(leq(_209345, _209347))], (316 ^ _198339) ^ [_209507, _209509] : [leq(_209507, _209509), -(geq(_209509, _209507))], (322 ^ _198339) ^ [_209719, _209721] : [gt(_209719, _209721), -(leq(_209721, _209719))], (328 ^ _198339) ^ [_209929, _209931] : [-(gt(_209929, _209931)), leq(_209931, _209929), -(_209931 = _209929)], (338 ^ _198339) ^ [_210260, _210262] : [leq(_210262, pred(_210260)), -(gt(_210260, _210262))], (344 ^ _198339) ^ [_210426, _210428] : [gt(_210426, _210428), -(leq(_210428, pred(_210426)))], (350 ^ _198339) ^ [_210613] : [-(gt(succ(_210613), _210613))], (352 ^ _198339) ^ [_210722, _210724] : [leq(_210724, _210722), -(leq(_210724, succ(_210722)))], (358 ^ _198339) ^ [_210965, _210967] : [leq(_210967, _210965), -(gt(succ(_210965), _210967))], (364 ^ _198339) ^ [_211131, _211133] : [gt(succ(_211131), _211133), -(leq(_211133, _211131))], (370 ^ _198339) ^ [_211347, _211349] : [leq(n0, _211349), -(leq(uniform_int_rnd(_211347, _211349), _211349))], (376 ^ _198339) ^ [_211563, _211565] : [leq(n0, _211565), -(leq(n0, uniform_int_rnd(_211563, _211565)))], (382 ^ _198339) ^ [_211807, _211809, _211811, _211813] : [-(a_select2(tptp_const_array1(dim(_211811, _211809), _211807), _211813) = _211807), leq(_211811, _211813), leq(_211813, _211809)], (392 ^ _198339) ^ [_212214, _212216, _212218, _212220, _212222, _212224, _212226] : [-(a_select3(tptp_const_array2(dim(_212224, _212222), dim(_212218, _212216), _212214), _212226, _212220) = _212214), leq(_212224, _212226), leq(_212226, _212222), leq(_212218, _212220), leq(_212220, _212216)], (410 ^ _198339) ^ [_212809, _212811] : [413 ^ _198339 : [(414 ^ _198339) ^ [] : [-(leq(n0, 411 ^ [_212809, _212811]))], (416 ^ _198339) ^ [] : [-(leq(411 ^ [_212809, _212811], _212809))], (418 ^ _198339) ^ [] : [-(leq(n0, 412 ^ [_212809, _212811]))], (420 ^ _198339) ^ [] : [-(leq(412 ^ [_212809, _212811], _212809))], (422 ^ _198339) ^ [] : [a_select3(_212811, 411 ^ [_212809, _212811], 412 ^ [_212809, _212811]) = a_select3(_212811, 412 ^ [_212809, _212811], 411 ^ [_212809, _212811])]], 423 ^ _198339 : [(424 ^ _198339) ^ [_213566, _213568] : [-(a_select3(trans(_212811), _213568, _213566) = a_select3(trans(_212811), _213566, _213568)), leq(n0, _213568), leq(_213568, _212809), leq(n0, _213566), leq(_213566, _212809)]]], (442 ^ _198339) ^ [_214113, _214115] : [445 ^ _198339 : [(446 ^ _198339) ^ [] : [-(leq(n0, 443 ^ [_214113, _214115]))], (448 ^ _198339) ^ [] : [-(leq(443 ^ [_214113, _214115], _214113))], (450 ^ _198339) ^ [] : [-(leq(n0, 444 ^ [_214113, _214115]))], (452 ^ _198339) ^ [] : [-(leq(444 ^ [_214113, _214115], _214113))], (454 ^ _198339) ^ [] : [a_select3(_214115, 443 ^ [_214113, _214115], 444 ^ [_214113, _214115]) = a_select3(_214115, 444 ^ [_214113, _214115], 443 ^ [_214113, _214115])]], 455 ^ _198339 : [(456 ^ _198339) ^ [_214870, _214872] : [-(a_select3(inv(_214115), _214872, _214870) = a_select3(inv(_214115), _214870, _214872)), leq(n0, _214872), leq(_214872, _214113), leq(n0, _214870), leq(_214870, _214113)]]], (474 ^ _198339) ^ [_215417, _215419] : [477 ^ _198339 : [(478 ^ _198339) ^ [] : [-(leq(n0, 475 ^ [_215417, _215419]))], (480 ^ _198339) ^ [] : [-(leq(475 ^ [_215417, _215419], _215417))], (482 ^ _198339) ^ [] : [-(leq(n0, 476 ^ [_215417, _215419]))], (484 ^ _198339) ^ [] : [-(leq(476 ^ [_215417, _215419], _215417))], (486 ^ _198339) ^ [] : [a_select3(_215419, 475 ^ [_215417, _215419], 476 ^ [_215417, _215419]) = a_select3(_215419, 476 ^ [_215417, _215419], 475 ^ [_215417, _215419])]], 487 ^ _198339 : [(488 ^ _198339) ^ [_216230, _216232, _216234, _216236] : [-(a_select3(tptp_update3(_215419, _216232, _216232, _216230), _216236, _216234) = a_select3(tptp_update3(_215419, _216232, _216232, _216230), _216234, _216236)), leq(n0, _216236), leq(_216236, _215417), leq(n0, _216234), leq(_216234, _215417), leq(n0, _216232), leq(_216232, _215417)]]], (514 ^ _198339) ^ [_217049, _217051, _217053] : [519 ^ _198339 : [(520 ^ _198339) ^ [] : [-(leq(n0, 517 ^ [_217049, _217051, _217053]))], (522 ^ _198339) ^ [] : [-(leq(517 ^ [_217049, _217051, _217053], _217049))], (524 ^ _198339) ^ [] : [-(leq(n0, 518 ^ [_217049, _217051, _217053]))], (526 ^ _198339) ^ [] : [-(leq(518 ^ [_217049, _217051, _217053], _217049))], (528 ^ _198339) ^ [] : [a_select3(_217053, 517 ^ [_217049, _217051, _217053], 518 ^ [_217049, _217051, _217053]) = a_select3(_217053, 518 ^ [_217049, _217051, _217053], 517 ^ [_217049, _217051, _217053])]], 531 ^ _198339 : [(532 ^ _198339) ^ [] : [-(leq(n0, 529 ^ [_217049, _217051, _217053]))], (534 ^ _198339) ^ [] : [-(leq(529 ^ [_217049, _217051, _217053], _217049))], (536 ^ _198339) ^ [] : [-(leq(n0, 530 ^ [_217049, _217051, _217053]))], (538 ^ _198339) ^ [] : [-(leq(530 ^ [_217049, _217051, _217053], _217049))], (540 ^ _198339) ^ [] : [a_select3(_217051, 529 ^ [_217049, _217051, _217053], 530 ^ [_217049, _217051, _217053]) = a_select3(_217051, 530 ^ [_217049, _217051, _217053], 529 ^ [_217049, _217051, _217053])]], 541 ^ _198339 : [(542 ^ _198339) ^ [_218558, _218560] : [-(a_select3(tptp_madd(_217053, _217051), _218560, _218558) = a_select3(tptp_madd(_217053, _217051), _218558, _218560)), leq(n0, _218560), leq(_218560, _217049), leq(n0, _218558), leq(_218558, _217049)]]], (560 ^ _198339) ^ [_219144, _219146, _219148] : [565 ^ _198339 : [(566 ^ _198339) ^ [] : [-(leq(n0, 563 ^ [_219144, _219146, _219148]))], (568 ^ _198339) ^ [] : [-(leq(563 ^ [_219144, _219146, _219148], _219144))], (570 ^ _198339) ^ [] : [-(leq(n0, 564 ^ [_219144, _219146, _219148]))], (572 ^ _198339) ^ [] : [-(leq(564 ^ [_219144, _219146, _219148], _219144))], (574 ^ _198339) ^ [] : [a_select3(_219148, 563 ^ [_219144, _219146, _219148], 564 ^ [_219144, _219146, _219148]) = a_select3(_219148, 564 ^ [_219144, _219146, _219148], 563 ^ [_219144, _219146, _219148])]], 577 ^ _198339 : [(578 ^ _198339) ^ [] : [-(leq(n0, 575 ^ [_219144, _219146, _219148]))], (580 ^ _198339) ^ [] : [-(leq(575 ^ [_219144, _219146, _219148], _219144))], (582 ^ _198339) ^ [] : [-(leq(n0, 576 ^ [_219144, _219146, _219148]))], (584 ^ _198339) ^ [] : [-(leq(576 ^ [_219144, _219146, _219148], _219144))], (586 ^ _198339) ^ [] : [a_select3(_219146, 575 ^ [_219144, _219146, _219148], 576 ^ [_219144, _219146, _219148]) = a_select3(_219146, 576 ^ [_219144, _219146, _219148], 575 ^ [_219144, _219146, _219148])]], 587 ^ _198339 : [(588 ^ _198339) ^ [_220653, _220655] : [-(a_select3(tptp_msub(_219148, _219146), _220655, _220653) = a_select3(tptp_msub(_219148, _219146), _220653, _220655)), leq(n0, _220655), leq(_220655, _219144), leq(n0, _220653), leq(_220653, _219144)]]], (606 ^ _198339) ^ [_221239, _221241, _221243] : [609 ^ _198339 : [(610 ^ _198339) ^ [] : [-(leq(n0, 607 ^ [_221239, _221241, _221243]))], (612 ^ _198339) ^ [] : [-(leq(607 ^ [_221239, _221241, _221243], _221239))], (614 ^ _198339) ^ [] : [-(leq(n0, 608 ^ [_221239, _221241, _221243]))], (616 ^ _198339) ^ [] : [-(leq(608 ^ [_221239, _221241, _221243], _221239))], (618 ^ _198339) ^ [] : [a_select3(_221241, 607 ^ [_221239, _221241, _221243], 608 ^ [_221239, _221241, _221243]) = a_select3(_221241, 608 ^ [_221239, _221241, _221243], 607 ^ [_221239, _221241, _221243])]], 619 ^ _198339 : [(620 ^ _198339) ^ [_222052, _222054] : [-(a_select3(tptp_mmul(_221243, tptp_mmul(_221241, trans(_221243))), _222054, _222052) = a_select3(tptp_mmul(_221243, tptp_mmul(_221241, trans(_221243))), _222052, _222054)), leq(n0, _222054), leq(_222054, _221239), leq(n0, _222052), leq(_222052, _221239)]]], (638 ^ _198339) ^ [_222671, _222673, _222675, _222677] : [641 ^ _198339 : [(642 ^ _198339) ^ [] : [-(leq(n0, 639 ^ [_222671, _222673, _222675, _222677]))], (644 ^ _198339) ^ [] : [-(leq(639 ^ [_222671, _222673, _222675, _222677], _222671))], (646 ^ _198339) ^ [] : [-(leq(n0, 640 ^ [_222671, _222673, _222675, _222677]))], (648 ^ _198339) ^ [] : [-(leq(640 ^ [_222671, _222673, _222675, _222677], _222671))], (650 ^ _198339) ^ [] : [a_select3(_222675, 639 ^ [_222671, _222673, _222675, _222677], 640 ^ [_222671, _222673, _222675, _222677]) = a_select3(_222675, 640 ^ [_222671, _222673, _222675, _222677], 639 ^ [_222671, _222673, _222675, _222677])]], 651 ^ _198339 : [(652 ^ _198339) ^ [_223528, _223530] : [-(a_select3(tptp_mmul(_222677, tptp_mmul(_222675, trans(_222677))), _223530, _223528) = a_select3(tptp_mmul(_222677, tptp_mmul(_222675, trans(_222677))), _223528, _223530)), leq(n0, _223530), leq(_223530, _222673), leq(n0, _223528), leq(_223528, _222673)]]], (670 ^ _198339) ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237] : [675 ^ _198339 : [(676 ^ _198339) ^ [] : [-(leq(n0, 673 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (678 ^ _198339) ^ [] : [-(leq(673 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224223))], (680 ^ _198339) ^ [] : [-(leq(n0, 674 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (682 ^ _198339) ^ [] : [-(leq(674 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224223))], (684 ^ _198339) ^ [] : [a_select3(_224231, 673 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 674 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]) = a_select3(_224231, 674 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 673 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237])]], 689 ^ _198339 : [(690 ^ _198339) ^ [] : [-(leq(n0, 687 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (692 ^ _198339) ^ [] : [-(leq(687 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224225))], (694 ^ _198339) ^ [] : [-(leq(n0, 688 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (696 ^ _198339) ^ [] : [-(leq(688 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224225))], (698 ^ _198339) ^ [] : [a_select3(_224237, 687 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 688 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]) = a_select3(_224237, 688 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 687 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237])]], 701 ^ _198339 : [(702 ^ _198339) ^ [] : [-(leq(n0, 699 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (704 ^ _198339) ^ [] : [-(leq(699 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224225))], (706 ^ _198339) ^ [] : [-(leq(n0, 700 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]))], (708 ^ _198339) ^ [] : [-(leq(700 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], _224225))], (710 ^ _198339) ^ [] : [a_select3(_224227, 699 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 700 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237]) = a_select3(_224227, 700 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237], 699 ^ [_224223, _224225, _224227, _224229, _224231, _224233, _224235, _224237])]], 711 ^ _198339 : [(712 ^ _198339) ^ [_227151, _227153] : [-(a_select3(tptp_madd(_224237, tptp_mmul(_224235, tptp_mmul(tptp_madd(tptp_mmul(_224233, tptp_mmul(_224231, trans(_224233))), tptp_mmul(_224229, tptp_mmul(_224227, trans(_224229)))), trans(_224235)))), _227153, _227151) = a_select3(tptp_madd(_224237, tptp_mmul(_224235, tptp_mmul(tptp_madd(tptp_mmul(_224233, tptp_mmul(_224231, trans(_224233))), tptp_mmul(_224229, tptp_mmul(_224227, trans(_224229)))), trans(_224235)))), _227151, _227153)), leq(n0, _227153), leq(_227153, _224225), leq(n0, _227151), leq(_227151, _224225)]]], (730 ^ _198339) ^ [_227904] : [-(sum(n0, tptp_minus_1, _227904) = n0)], (732 ^ _198339) ^ [_227986] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _227986))], (734 ^ _198339) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _198339) ^ [_228121] : [-(plus(_228121, n1) = succ(_228121))], (738 ^ _198339) ^ [_228204] : [-(plus(n1, _228204) = succ(_228204))], (740 ^ _198339) ^ [_228287] : [-(plus(_228287, n2) = succ(succ(_228287)))], (742 ^ _198339) ^ [_228372] : [-(plus(n2, _228372) = succ(succ(_228372)))], (744 ^ _198339) ^ [_228457] : [-(plus(_228457, n3) = succ(succ(succ(_228457))))], (746 ^ _198339) ^ [_228544] : [-(plus(n3, _228544) = succ(succ(succ(_228544))))], (748 ^ _198339) ^ [_228631] : [-(plus(_228631, n4) = succ(succ(succ(succ(_228631)))))], (750 ^ _198339) ^ [_228720] : [-(plus(n4, _228720) = succ(succ(succ(succ(_228720)))))], (752 ^ _198339) ^ [_228809] : [-(plus(_228809, n5) = succ(succ(succ(succ(succ(_228809))))))], (754 ^ _198339) ^ [_228900] : [-(plus(n5, _228900) = succ(succ(succ(succ(succ(_228900))))))], (756 ^ _198339) ^ [_228991] : [-(minus(_228991, n1) = pred(_228991))], (758 ^ _198339) ^ [_229074] : [-(pred(succ(_229074)) = _229074)], (760 ^ _198339) ^ [_229156] : [-(succ(pred(_229156)) = _229156)], (762 ^ _198339) ^ [_229296, _229298] : [leq(succ(_229298), succ(_229296)), -(leq(_229298, _229296))], (768 ^ _198339) ^ [_229466, _229468] : [leq(_229468, _229466), -(leq(succ(_229468), succ(_229466)))], (774 ^ _198339) ^ [_229686, _229688] : [leq(succ(_229688), _229686), -(gt(_229686, _229688))], (780 ^ _198339) ^ [_229900, _229902] : [leq(minus(_229902, _229900), _229902), -(leq(n0, _229900))], (786 ^ _198339) ^ [_230129, _230131, _230133, _230135] : [-(a_select3(tptp_update3(_230135, _230133, _230131, _230129), _230133, _230131) = _230129)], (788 ^ _198339) ^ [_230321, _230323, _230325, _230327, _230329, _230331, _230333] : [-(a_select3(tptp_update3(_230325, _230333, _230331, _230321), _230329, _230327) = _230323), -(_230333 = _230329), _230331 = _230327, a_select3(_230325, _230329, _230327) = _230323], (802 ^ _198339) ^ [_230864, _230866, _230868, _230870, _230872, _230874] : [-(a_select3(tptp_update3(_230866, _230870, _230868, _230864), _230874, _230872) = _230864), 807 ^ _198339 : [(808 ^ _198339) ^ [] : [-(leq(n0, 805 ^ [_230864, _230866, _230868, _230870, _230872, _230874]))], (810 ^ _198339) ^ [] : [-(leq(n0, 806 ^ [_230864, _230866, _230868, _230870, _230872, _230874]))], (812 ^ _198339) ^ [] : [-(leq(805 ^ [_230864, _230866, _230868, _230870, _230872, _230874], _230870))], (814 ^ _198339) ^ [] : [-(leq(806 ^ [_230864, _230866, _230868, _230870, _230872, _230874], _230868))], (816 ^ _198339) ^ [] : [a_select3(_230866, 805 ^ [_230864, _230866, _230868, _230870, _230872, _230874], 806 ^ [_230864, _230866, _230868, _230870, _230872, _230874]) = _230864]], leq(n0, _230874), leq(_230874, _230870), leq(n0, _230872), leq(_230872, _230868)], (834 ^ _198339) ^ [_232206, _232208, _232210] : [-(a_select2(tptp_update2(_232210, _232208, _232206), _232208) = _232206)], (836 ^ _198339) ^ [_232366, _232368, _232370, _232372, _232374] : [-(a_select2(tptp_update2(_232370, _232374, _232366), _232372) = _232368), -(_232374 = _232372), a_select2(_232370, _232372) = _232368], (865 ^ _198339) ^ [] : [-(true)], (867 ^ _198339) ^ [] : [def = use], (846 ^ _198339) ^ [_232746, _232748, _232750, _232752] : [-(a_select2(tptp_update2(_232748, _232750, _232746), _232752) = _232746), 850 ^ _198339 : [(851 ^ _198339) ^ [] : [-(leq(n0, 849 ^ [_232746, _232748, _232750, _232752]))], (853 ^ _198339) ^ [] : [-(leq(849 ^ [_232746, _232748, _232750, _232752], _232750))], (855 ^ _198339) ^ [] : [a_select2(_232748, 849 ^ [_232746, _232748, _232750, _232752]) = _232746]], leq(n0, _232752), leq(_232752, _232750)]], input).
% 0.34/1.38 ncf('1',plain,[true],start(1073 ^ 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/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------