%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV088+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n001.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 12:19:57 EDT 2023
% Result : Theorem 0.31s 1.38s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV088+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n001.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 02:50:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.31/1.38
% 0.31/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 ncf(matrix, plain, [(1055 ^ _196735) ^ [] : [-(geq(minus(n135300, n1), n0))], (1057 ^ _196735) ^ [] : [true], (2 ^ _196735) ^ [_196879] : [-(_196879 = _196879)], (4 ^ _196735) ^ [_196986, _196988] : [_196988 = _196986, -(_196986 = _196988)], (10 ^ _196735) ^ [_197190, _197192, _197194] : [-(_197194 = _197190), _197194 = _197192, _197192 = _197190], (20 ^ _196735) ^ [_197531, _197533, _197535, _197537] : [-(lt(_197535, _197531)), lt(_197537, _197533), _197537 = _197535, _197533 = _197531], (34 ^ _196735) ^ [_197975, _197977, _197979, _197981] : [-(gt(_197979, _197975)), gt(_197981, _197977), _197981 = _197979, _197977 = _197975], (48 ^ _196735) ^ [_198419, _198421, _198423, _198425] : [-(leq(_198423, _198419)), leq(_198425, _198421), _198425 = _198423, _198421 = _198419], (62 ^ _196735) ^ [_198843, _198845, _198847, _198849] : [-(geq(_198847, _198843)), geq(_198849, _198845), _198849 = _198847, _198845 = _198843], (76 ^ _196735) ^ [_199299, _199301, _199303, _199305] : [-(uniform_int_rnd(_199305, _199301) = uniform_int_rnd(_199303, _199299)), _199305 = _199303, _199301 = _199299], (86 ^ _196735) ^ [_199658, _199660, _199662, _199664] : [-(tptp_const_array1(_199664, _199660) = tptp_const_array1(_199662, _199658)), _199664 = _199662, _199660 = _199658], (96 ^ _196735) ^ [_200045, _200047, _200049, _200051, _200053, _200055] : [-(tptp_const_array2(_200055, _200051, _200047) = tptp_const_array2(_200053, _200049, _200045)), _200055 = _200053, _200051 = _200049, _200047 = _200045], (110 ^ _196735) ^ [_200533, _200535, _200537, _200539] : [-(dim(_200539, _200535) = dim(_200537, _200533)), _200539 = _200537, _200535 = _200533], (120 ^ _196735) ^ [_200864, _200866] : [_200866 = _200864, -(inv(_200866) = inv(_200864))], (126 ^ _196735) ^ [_201110, _201112, _201114, _201116] : [-(tptp_msub(_201116, _201112) = tptp_msub(_201114, _201110)), _201116 = _201114, _201112 = _201110], (136 ^ _196735) ^ [_201469, _201471, _201473, _201475] : [-(tptp_madd(_201475, _201471) = tptp_madd(_201473, _201469)), _201475 = _201473, _201471 = _201469], (146 ^ _196735) ^ [_201828, _201830, _201832, _201834] : [-(tptp_mmul(_201834, _201830) = tptp_mmul(_201832, _201828)), _201834 = _201832, _201830 = _201828], (156 ^ _196735) ^ [_202159, _202161] : [_202161 = _202159, -(trans(_202161) = trans(_202159))], (162 ^ _196735) ^ [_202433, _202435, _202437, _202439, _202441, _202443] : [-(sum(_202443, _202439, _202435) = sum(_202441, _202437, _202433)), _202443 = _202441, _202439 = _202437, _202435 = _202433], (176 ^ _196735) ^ [_202921, _202923, _202925, _202927] : [-(plus(_202927, _202923) = plus(_202925, _202921)), _202927 = _202925, _202923 = _202921], (186 ^ _196735) ^ [_203252, _203254] : [_203254 = _203252, -(pred(_203254) = pred(_203252))], (192 ^ _196735) ^ [_203526, _203528, _203530, _203532, _203534, _203536] : [-(a_select3(_203536, _203532, _203528) = a_select3(_203534, _203530, _203526)), _203536 = _203534, _203532 = _203530, _203528 = _203526], (206 ^ _196735) ^ [_204070, _204072, _204074, _204076, _204078, _204080, _204082, _204084] : [-(tptp_update3(_204084, _204080, _204076, _204072) = tptp_update3(_204082, _204078, _204074, _204070)), _204084 = _204082, _204080 = _204078, _204076 = _204074, _204072 = _204070], (224 ^ _196735) ^ [_204703, _204705, _204707, _204709] : [-(a_select2(_204709, _204705) = a_select2(_204707, _204703)), _204709 = _204707, _204705 = _204703], (234 ^ _196735) ^ [_205090, _205092, _205094, _205096, _205098, _205100] : [-(tptp_update2(_205100, _205096, _205092) = tptp_update2(_205098, _205094, _205090)), _205100 = _205098, _205096 = _205094, _205092 = _205090], (248 ^ _196735) ^ [_205550, _205552] : [_205552 = _205550, -(succ(_205552) = succ(_205550))], (254 ^ _196735) ^ [_205776, _205778, _205780, _205782] : [-(minus(_205782, _205778) = minus(_205780, _205776)), _205782 = _205780, _205778 = _205776], (869 ^ _196735) ^ [] : [-(gt(n5, n4))], (871 ^ _196735) ^ [] : [-(gt(n135300, n4))], (873 ^ _196735) ^ [] : [-(gt(n135300, n5))], (875 ^ _196735) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _196735) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _196735) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _196735) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _196735) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _196735) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _196735) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _196735) ^ [] : [-(gt(n4, n0))], (891 ^ _196735) ^ [] : [-(gt(n5, n0))], (893 ^ _196735) ^ [] : [-(gt(n135300, n0))], (895 ^ _196735) ^ [] : [-(gt(n1, n0))], (897 ^ _196735) ^ [] : [-(gt(n2, n0))], (899 ^ _196735) ^ [] : [-(gt(n3, n0))], (901 ^ _196735) ^ [] : [-(gt(n4, n1))], (903 ^ _196735) ^ [] : [-(gt(n5, n1))], (905 ^ _196735) ^ [] : [-(gt(n135300, n1))], (907 ^ _196735) ^ [] : [-(gt(n2, n1))], (909 ^ _196735) ^ [] : [-(gt(n3, n1))], (911 ^ _196735) ^ [] : [-(gt(n4, n2))], (913 ^ _196735) ^ [] : [-(gt(n5, n2))], (915 ^ _196735) ^ [] : [-(gt(n135300, n2))], (917 ^ _196735) ^ [] : [-(gt(n3, n2))], (919 ^ _196735) ^ [] : [-(gt(n4, n3))], (921 ^ _196735) ^ [] : [-(gt(n5, n3))], (923 ^ _196735) ^ [] : [-(gt(n135300, n3))], (925 ^ _196735) ^ [_233616] : [leq(n0, _233616), leq(_233616, n4), -(_233616 = n0), -(_233616 = n1), -(_233616 = n2), -(_233616 = n3), -(_233616 = n4)], (951 ^ _196735) ^ [_234237] : [leq(n0, _234237), leq(_234237, n5), -(_234237 = n0), -(_234237 = n1), -(_234237 = n2), -(_234237 = n3), -(_234237 = n4), -(_234237 = n5)], (981 ^ _196735) ^ [_234944] : [-(_234944 = n0), leq(n0, _234944), leq(_234944, n0)], (991 ^ _196735) ^ [_235219] : [leq(n0, _235219), leq(_235219, n1), -(_235219 = n0), -(_235219 = n1)], (1005 ^ _196735) ^ [_235582] : [leq(n0, _235582), leq(_235582, n2), -(_235582 = n0), -(_235582 = n1), -(_235582 = n2)], (1045 ^ _196735) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _196735) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _196735) ^ [] : [-(succ(n0) = n1)], (1051 ^ _196735) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _196735) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _196735) ^ [_236031] : [leq(n0, _236031), leq(_236031, n3), -(_236031 = n0), -(_236031 = n1), -(_236031 = n2), -(_236031 = n3)], (264 ^ _196735) ^ [_206207, _206209] : [-(gt(_206209, _206207)), -(gt(_206207, _206209)), -(_206209 = _206207)], (274 ^ _196735) ^ [_206522, _206524, _206526] : [-(gt(_206526, _206522)), gt(_206526, _206524), gt(_206524, _206522)], (284 ^ _196735) ^ [_206801] : [gt(_206801, _206801)], (286 ^ _196735) ^ [_206879] : [-(leq(_206879, _206879))], (288 ^ _196735) ^ [_207000, _207002, _207004] : [-(leq(_207004, _207000)), leq(_207004, _207002), leq(_207002, _207000)], (298 ^ _196735) ^ [_207338, _207340] : [lt(_207340, _207338), -(gt(_207338, _207340))], (304 ^ _196735) ^ [_207500, _207502] : [gt(_207500, _207502), -(lt(_207502, _207500))], (310 ^ _196735) ^ [_207741, _207743] : [geq(_207743, _207741), -(leq(_207741, _207743))], (316 ^ _196735) ^ [_207903, _207905] : [leq(_207903, _207905), -(geq(_207905, _207903))], (322 ^ _196735) ^ [_208115, _208117] : [gt(_208115, _208117), -(leq(_208117, _208115))], (328 ^ _196735) ^ [_208325, _208327] : [-(gt(_208325, _208327)), leq(_208327, _208325), -(_208327 = _208325)], (338 ^ _196735) ^ [_208656, _208658] : [leq(_208658, pred(_208656)), -(gt(_208656, _208658))], (344 ^ _196735) ^ [_208822, _208824] : [gt(_208822, _208824), -(leq(_208824, pred(_208822)))], (350 ^ _196735) ^ [_209009] : [-(gt(succ(_209009), _209009))], (352 ^ _196735) ^ [_209118, _209120] : [leq(_209120, _209118), -(leq(_209120, succ(_209118)))], (358 ^ _196735) ^ [_209361, _209363] : [leq(_209363, _209361), -(gt(succ(_209361), _209363))], (364 ^ _196735) ^ [_209527, _209529] : [gt(succ(_209527), _209529), -(leq(_209529, _209527))], (370 ^ _196735) ^ [_209743, _209745] : [leq(n0, _209745), -(leq(uniform_int_rnd(_209743, _209745), _209745))], (376 ^ _196735) ^ [_209959, _209961] : [leq(n0, _209961), -(leq(n0, uniform_int_rnd(_209959, _209961)))], (382 ^ _196735) ^ [_210203, _210205, _210207, _210209] : [-(a_select2(tptp_const_array1(dim(_210207, _210205), _210203), _210209) = _210203), leq(_210207, _210209), leq(_210209, _210205)], (392 ^ _196735) ^ [_210610, _210612, _210614, _210616, _210618, _210620, _210622] : [-(a_select3(tptp_const_array2(dim(_210620, _210618), dim(_210614, _210612), _210610), _210622, _210616) = _210610), leq(_210620, _210622), leq(_210622, _210618), leq(_210614, _210616), leq(_210616, _210612)], (410 ^ _196735) ^ [_211205, _211207] : [413 ^ _196735 : [(414 ^ _196735) ^ [] : [-(leq(n0, 411 ^ [_211205, _211207]))], (416 ^ _196735) ^ [] : [-(leq(411 ^ [_211205, _211207], _211205))], (418 ^ _196735) ^ [] : [-(leq(n0, 412 ^ [_211205, _211207]))], (420 ^ _196735) ^ [] : [-(leq(412 ^ [_211205, _211207], _211205))], (422 ^ _196735) ^ [] : [a_select3(_211207, 411 ^ [_211205, _211207], 412 ^ [_211205, _211207]) = a_select3(_211207, 412 ^ [_211205, _211207], 411 ^ [_211205, _211207])]], 423 ^ _196735 : [(424 ^ _196735) ^ [_211962, _211964] : [-(a_select3(trans(_211207), _211964, _211962) = a_select3(trans(_211207), _211962, _211964)), leq(n0, _211964), leq(_211964, _211205), leq(n0, _211962), leq(_211962, _211205)]]], (442 ^ _196735) ^ [_212509, _212511] : [445 ^ _196735 : [(446 ^ _196735) ^ [] : [-(leq(n0, 443 ^ [_212509, _212511]))], (448 ^ _196735) ^ [] : [-(leq(443 ^ [_212509, _212511], _212509))], (450 ^ _196735) ^ [] : [-(leq(n0, 444 ^ [_212509, _212511]))], (452 ^ _196735) ^ [] : [-(leq(444 ^ [_212509, _212511], _212509))], (454 ^ _196735) ^ [] : [a_select3(_212511, 443 ^ [_212509, _212511], 444 ^ [_212509, _212511]) = a_select3(_212511, 444 ^ [_212509, _212511], 443 ^ [_212509, _212511])]], 455 ^ _196735 : [(456 ^ _196735) ^ [_213266, _213268] : [-(a_select3(inv(_212511), _213268, _213266) = a_select3(inv(_212511), _213266, _213268)), leq(n0, _213268), leq(_213268, _212509), leq(n0, _213266), leq(_213266, _212509)]]], (474 ^ _196735) ^ [_213813, _213815] : [477 ^ _196735 : [(478 ^ _196735) ^ [] : [-(leq(n0, 475 ^ [_213813, _213815]))], (480 ^ _196735) ^ [] : [-(leq(475 ^ [_213813, _213815], _213813))], (482 ^ _196735) ^ [] : [-(leq(n0, 476 ^ [_213813, _213815]))], (484 ^ _196735) ^ [] : [-(leq(476 ^ [_213813, _213815], _213813))], (486 ^ _196735) ^ [] : [a_select3(_213815, 475 ^ [_213813, _213815], 476 ^ [_213813, _213815]) = a_select3(_213815, 476 ^ [_213813, _213815], 475 ^ [_213813, _213815])]], 487 ^ _196735 : [(488 ^ _196735) ^ [_214626, _214628, _214630, _214632] : [-(a_select3(tptp_update3(_213815, _214628, _214628, _214626), _214632, _214630) = a_select3(tptp_update3(_213815, _214628, _214628, _214626), _214630, _214632)), leq(n0, _214632), leq(_214632, _213813), leq(n0, _214630), leq(_214630, _213813), leq(n0, _214628), leq(_214628, _213813)]]], (514 ^ _196735) ^ [_215445, _215447, _215449] : [519 ^ _196735 : [(520 ^ _196735) ^ [] : [-(leq(n0, 517 ^ [_215445, _215447, _215449]))], (522 ^ _196735) ^ [] : [-(leq(517 ^ [_215445, _215447, _215449], _215445))], (524 ^ _196735) ^ [] : [-(leq(n0, 518 ^ [_215445, _215447, _215449]))], (526 ^ _196735) ^ [] : [-(leq(518 ^ [_215445, _215447, _215449], _215445))], (528 ^ _196735) ^ [] : [a_select3(_215449, 517 ^ [_215445, _215447, _215449], 518 ^ [_215445, _215447, _215449]) = a_select3(_215449, 518 ^ [_215445, _215447, _215449], 517 ^ [_215445, _215447, _215449])]], 531 ^ _196735 : [(532 ^ _196735) ^ [] : [-(leq(n0, 529 ^ [_215445, _215447, _215449]))], (534 ^ _196735) ^ [] : [-(leq(529 ^ [_215445, _215447, _215449], _215445))], (536 ^ _196735) ^ [] : [-(leq(n0, 530 ^ [_215445, _215447, _215449]))], (538 ^ _196735) ^ [] : [-(leq(530 ^ [_215445, _215447, _215449], _215445))], (540 ^ _196735) ^ [] : [a_select3(_215447, 529 ^ [_215445, _215447, _215449], 530 ^ [_215445, _215447, _215449]) = a_select3(_215447, 530 ^ [_215445, _215447, _215449], 529 ^ [_215445, _215447, _215449])]], 541 ^ _196735 : [(542 ^ _196735) ^ [_216954, _216956] : [-(a_select3(tptp_madd(_215449, _215447), _216956, _216954) = a_select3(tptp_madd(_215449, _215447), _216954, _216956)), leq(n0, _216956), leq(_216956, _215445), leq(n0, _216954), leq(_216954, _215445)]]], (560 ^ _196735) ^ [_217540, _217542, _217544] : [565 ^ _196735 : [(566 ^ _196735) ^ [] : [-(leq(n0, 563 ^ [_217540, _217542, _217544]))], (568 ^ _196735) ^ [] : [-(leq(563 ^ [_217540, _217542, _217544], _217540))], (570 ^ _196735) ^ [] : [-(leq(n0, 564 ^ [_217540, _217542, _217544]))], (572 ^ _196735) ^ [] : [-(leq(564 ^ [_217540, _217542, _217544], _217540))], (574 ^ _196735) ^ [] : [a_select3(_217544, 563 ^ [_217540, _217542, _217544], 564 ^ [_217540, _217542, _217544]) = a_select3(_217544, 564 ^ [_217540, _217542, _217544], 563 ^ [_217540, _217542, _217544])]], 577 ^ _196735 : [(578 ^ _196735) ^ [] : [-(leq(n0, 575 ^ [_217540, _217542, _217544]))], (580 ^ _196735) ^ [] : [-(leq(575 ^ [_217540, _217542, _217544], _217540))], (582 ^ _196735) ^ [] : [-(leq(n0, 576 ^ [_217540, _217542, _217544]))], (584 ^ _196735) ^ [] : [-(leq(576 ^ [_217540, _217542, _217544], _217540))], (586 ^ _196735) ^ [] : [a_select3(_217542, 575 ^ [_217540, _217542, _217544], 576 ^ [_217540, _217542, _217544]) = a_select3(_217542, 576 ^ [_217540, _217542, _217544], 575 ^ [_217540, _217542, _217544])]], 587 ^ _196735 : [(588 ^ _196735) ^ [_219049, _219051] : [-(a_select3(tptp_msub(_217544, _217542), _219051, _219049) = a_select3(tptp_msub(_217544, _217542), _219049, _219051)), leq(n0, _219051), leq(_219051, _217540), leq(n0, _219049), leq(_219049, _217540)]]], (606 ^ _196735) ^ [_219635, _219637, _219639] : [609 ^ _196735 : [(610 ^ _196735) ^ [] : [-(leq(n0, 607 ^ [_219635, _219637, _219639]))], (612 ^ _196735) ^ [] : [-(leq(607 ^ [_219635, _219637, _219639], _219635))], (614 ^ _196735) ^ [] : [-(leq(n0, 608 ^ [_219635, _219637, _219639]))], (616 ^ _196735) ^ [] : [-(leq(608 ^ [_219635, _219637, _219639], _219635))], (618 ^ _196735) ^ [] : [a_select3(_219637, 607 ^ [_219635, _219637, _219639], 608 ^ [_219635, _219637, _219639]) = a_select3(_219637, 608 ^ [_219635, _219637, _219639], 607 ^ [_219635, _219637, _219639])]], 619 ^ _196735 : [(620 ^ _196735) ^ [_220448, _220450] : [-(a_select3(tptp_mmul(_219639, tptp_mmul(_219637, trans(_219639))), _220450, _220448) = a_select3(tptp_mmul(_219639, tptp_mmul(_219637, trans(_219639))), _220448, _220450)), leq(n0, _220450), leq(_220450, _219635), leq(n0, _220448), leq(_220448, _219635)]]], (638 ^ _196735) ^ [_221067, _221069, _221071, _221073] : [641 ^ _196735 : [(642 ^ _196735) ^ [] : [-(leq(n0, 639 ^ [_221067, _221069, _221071, _221073]))], (644 ^ _196735) ^ [] : [-(leq(639 ^ [_221067, _221069, _221071, _221073], _221067))], (646 ^ _196735) ^ [] : [-(leq(n0, 640 ^ [_221067, _221069, _221071, _221073]))], (648 ^ _196735) ^ [] : [-(leq(640 ^ [_221067, _221069, _221071, _221073], _221067))], (650 ^ _196735) ^ [] : [a_select3(_221071, 639 ^ [_221067, _221069, _221071, _221073], 640 ^ [_221067, _221069, _221071, _221073]) = a_select3(_221071, 640 ^ [_221067, _221069, _221071, _221073], 639 ^ [_221067, _221069, _221071, _221073])]], 651 ^ _196735 : [(652 ^ _196735) ^ [_221924, _221926] : [-(a_select3(tptp_mmul(_221073, tptp_mmul(_221071, trans(_221073))), _221926, _221924) = a_select3(tptp_mmul(_221073, tptp_mmul(_221071, trans(_221073))), _221924, _221926)), leq(n0, _221926), leq(_221926, _221069), leq(n0, _221924), leq(_221924, _221069)]]], (670 ^ _196735) ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633] : [675 ^ _196735 : [(676 ^ _196735) ^ [] : [-(leq(n0, 673 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (678 ^ _196735) ^ [] : [-(leq(673 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222619))], (680 ^ _196735) ^ [] : [-(leq(n0, 674 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (682 ^ _196735) ^ [] : [-(leq(674 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222619))], (684 ^ _196735) ^ [] : [a_select3(_222627, 673 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 674 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]) = a_select3(_222627, 674 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 673 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633])]], 689 ^ _196735 : [(690 ^ _196735) ^ [] : [-(leq(n0, 687 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (692 ^ _196735) ^ [] : [-(leq(687 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222621))], (694 ^ _196735) ^ [] : [-(leq(n0, 688 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (696 ^ _196735) ^ [] : [-(leq(688 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222621))], (698 ^ _196735) ^ [] : [a_select3(_222633, 687 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 688 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]) = a_select3(_222633, 688 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 687 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633])]], 701 ^ _196735 : [(702 ^ _196735) ^ [] : [-(leq(n0, 699 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (704 ^ _196735) ^ [] : [-(leq(699 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222621))], (706 ^ _196735) ^ [] : [-(leq(n0, 700 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]))], (708 ^ _196735) ^ [] : [-(leq(700 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], _222621))], (710 ^ _196735) ^ [] : [a_select3(_222623, 699 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 700 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633]) = a_select3(_222623, 700 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633], 699 ^ [_222619, _222621, _222623, _222625, _222627, _222629, _222631, _222633])]], 711 ^ _196735 : [(712 ^ _196735) ^ [_225547, _225549] : [-(a_select3(tptp_madd(_222633, tptp_mmul(_222631, tptp_mmul(tptp_madd(tptp_mmul(_222629, tptp_mmul(_222627, trans(_222629))), tptp_mmul(_222625, tptp_mmul(_222623, trans(_222625)))), trans(_222631)))), _225549, _225547) = a_select3(tptp_madd(_222633, tptp_mmul(_222631, tptp_mmul(tptp_madd(tptp_mmul(_222629, tptp_mmul(_222627, trans(_222629))), tptp_mmul(_222625, tptp_mmul(_222623, trans(_222625)))), trans(_222631)))), _225547, _225549)), leq(n0, _225549), leq(_225549, _222621), leq(n0, _225547), leq(_225547, _222621)]]], (730 ^ _196735) ^ [_226300] : [-(sum(n0, tptp_minus_1, _226300) = n0)], (732 ^ _196735) ^ [_226382] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226382))], (734 ^ _196735) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196735) ^ [_226517] : [-(plus(_226517, n1) = succ(_226517))], (738 ^ _196735) ^ [_226600] : [-(plus(n1, _226600) = succ(_226600))], (740 ^ _196735) ^ [_226683] : [-(plus(_226683, n2) = succ(succ(_226683)))], (742 ^ _196735) ^ [_226768] : [-(plus(n2, _226768) = succ(succ(_226768)))], (744 ^ _196735) ^ [_226853] : [-(plus(_226853, n3) = succ(succ(succ(_226853))))], (746 ^ _196735) ^ [_226940] : [-(plus(n3, _226940) = succ(succ(succ(_226940))))], (748 ^ _196735) ^ [_227027] : [-(plus(_227027, n4) = succ(succ(succ(succ(_227027)))))], (750 ^ _196735) ^ [_227116] : [-(plus(n4, _227116) = succ(succ(succ(succ(_227116)))))], (752 ^ _196735) ^ [_227205] : [-(plus(_227205, n5) = succ(succ(succ(succ(succ(_227205))))))], (754 ^ _196735) ^ [_227296] : [-(plus(n5, _227296) = succ(succ(succ(succ(succ(_227296))))))], (756 ^ _196735) ^ [_227387] : [-(minus(_227387, n1) = pred(_227387))], (758 ^ _196735) ^ [_227470] : [-(pred(succ(_227470)) = _227470)], (760 ^ _196735) ^ [_227552] : [-(succ(pred(_227552)) = _227552)], (762 ^ _196735) ^ [_227692, _227694] : [leq(succ(_227694), succ(_227692)), -(leq(_227694, _227692))], (768 ^ _196735) ^ [_227862, _227864] : [leq(_227864, _227862), -(leq(succ(_227864), succ(_227862)))], (774 ^ _196735) ^ [_228082, _228084] : [leq(succ(_228084), _228082), -(gt(_228082, _228084))], (780 ^ _196735) ^ [_228296, _228298] : [leq(minus(_228298, _228296), _228298), -(leq(n0, _228296))], (786 ^ _196735) ^ [_228525, _228527, _228529, _228531] : [-(a_select3(tptp_update3(_228531, _228529, _228527, _228525), _228529, _228527) = _228525)], (788 ^ _196735) ^ [_228717, _228719, _228721, _228723, _228725, _228727, _228729] : [-(a_select3(tptp_update3(_228721, _228729, _228727, _228717), _228725, _228723) = _228719), -(_228729 = _228725), _228727 = _228723, a_select3(_228721, _228725, _228723) = _228719], (802 ^ _196735) ^ [_229260, _229262, _229264, _229266, _229268, _229270] : [-(a_select3(tptp_update3(_229262, _229266, _229264, _229260), _229270, _229268) = _229260), 807 ^ _196735 : [(808 ^ _196735) ^ [] : [-(leq(n0, 805 ^ [_229260, _229262, _229264, _229266, _229268, _229270]))], (810 ^ _196735) ^ [] : [-(leq(n0, 806 ^ [_229260, _229262, _229264, _229266, _229268, _229270]))], (812 ^ _196735) ^ [] : [-(leq(805 ^ [_229260, _229262, _229264, _229266, _229268, _229270], _229266))], (814 ^ _196735) ^ [] : [-(leq(806 ^ [_229260, _229262, _229264, _229266, _229268, _229270], _229264))], (816 ^ _196735) ^ [] : [a_select3(_229262, 805 ^ [_229260, _229262, _229264, _229266, _229268, _229270], 806 ^ [_229260, _229262, _229264, _229266, _229268, _229270]) = _229260]], leq(n0, _229270), leq(_229270, _229266), leq(n0, _229268), leq(_229268, _229264)], (834 ^ _196735) ^ [_230602, _230604, _230606] : [-(a_select2(tptp_update2(_230606, _230604, _230602), _230604) = _230602)], (836 ^ _196735) ^ [_230762, _230764, _230766, _230768, _230770] : [-(a_select2(tptp_update2(_230766, _230770, _230762), _230768) = _230764), -(_230770 = _230768), a_select2(_230766, _230768) = _230764], (865 ^ _196735) ^ [] : [-(true)], (867 ^ _196735) ^ [] : [def = use], (846 ^ _196735) ^ [_231142, _231144, _231146, _231148] : [-(a_select2(tptp_update2(_231144, _231146, _231142), _231148) = _231142), 850 ^ _196735 : [(851 ^ _196735) ^ [] : [-(leq(n0, 849 ^ [_231142, _231144, _231146, _231148]))], (853 ^ _196735) ^ [] : [-(leq(849 ^ [_231142, _231144, _231146, _231148], _231146))], (855 ^ _196735) ^ [] : [a_select2(_231144, 849 ^ [_231142, _231144, _231146, _231148]) = _231142]], leq(n0, _231148), leq(_231148, _231146)]], input).
% 0.31/1.38 ncf('1',plain,[true],start(1057 ^ 0)).
% 0.31/1.38 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.31/1.38 %-----------------------------------------------------
% 0.31/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------