%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV119+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 12:20:00 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
% 0.07/0.12 % Problem : SWV119+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n020.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 02:46:47 EDT 2023
% 0.12/0.33 % 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, [(1091 ^ _200881) ^ [] : [-(leq(n0, pv49))], (1093 ^ _200881) ^ [] : [-(leq(pv49, minus(n6, n1)))], (1095 ^ _200881) ^ [] : [-(lt(n0, a_select2(sigma, pv49)))], (1097 ^ _200881) ^ [] : [true], (2 ^ _200881) ^ [_201025] : [-(_201025 = _201025)], (4 ^ _200881) ^ [_201132, _201134] : [_201134 = _201132, -(_201132 = _201134)], (10 ^ _200881) ^ [_201336, _201338, _201340] : [-(_201340 = _201336), _201340 = _201338, _201338 = _201336], (20 ^ _200881) ^ [_201677, _201679, _201681, _201683] : [-(geq(_201681, _201677)), geq(_201683, _201679), _201683 = _201681, _201679 = _201677], (34 ^ _200881) ^ [_202121, _202123, _202125, _202127] : [-(gt(_202125, _202121)), gt(_202127, _202123), _202127 = _202125, _202123 = _202121], (48 ^ _200881) ^ [_202565, _202567, _202569, _202571] : [-(leq(_202569, _202565)), leq(_202571, _202567), _202571 = _202569, _202567 = _202565], (62 ^ _200881) ^ [_202989, _202991, _202993, _202995] : [-(lt(_202993, _202989)), lt(_202995, _202991), _202995 = _202993, _202991 = _202989], (76 ^ _200881) ^ [_203445, _203447, _203449, _203451] : [-(uniform_int_rnd(_203451, _203447) = uniform_int_rnd(_203449, _203445)), _203451 = _203449, _203447 = _203445], (86 ^ _200881) ^ [_203804, _203806, _203808, _203810] : [-(tptp_const_array1(_203810, _203806) = tptp_const_array1(_203808, _203804)), _203810 = _203808, _203806 = _203804], (96 ^ _200881) ^ [_204191, _204193, _204195, _204197, _204199, _204201] : [-(tptp_const_array2(_204201, _204197, _204193) = tptp_const_array2(_204199, _204195, _204191)), _204201 = _204199, _204197 = _204195, _204193 = _204191], (110 ^ _200881) ^ [_204679, _204681, _204683, _204685] : [-(dim(_204685, _204681) = dim(_204683, _204679)), _204685 = _204683, _204681 = _204679], (120 ^ _200881) ^ [_205010, _205012] : [_205012 = _205010, -(inv(_205012) = inv(_205010))], (126 ^ _200881) ^ [_205256, _205258, _205260, _205262] : [-(tptp_msub(_205262, _205258) = tptp_msub(_205260, _205256)), _205262 = _205260, _205258 = _205256], (136 ^ _200881) ^ [_205615, _205617, _205619, _205621] : [-(tptp_madd(_205621, _205617) = tptp_madd(_205619, _205615)), _205621 = _205619, _205617 = _205615], (146 ^ _200881) ^ [_205974, _205976, _205978, _205980] : [-(tptp_mmul(_205980, _205976) = tptp_mmul(_205978, _205974)), _205980 = _205978, _205976 = _205974], (156 ^ _200881) ^ [_206305, _206307] : [_206307 = _206305, -(trans(_206307) = trans(_206305))], (162 ^ _200881) ^ [_206579, _206581, _206583, _206585, _206587, _206589] : [-(sum(_206589, _206585, _206581) = sum(_206587, _206583, _206579)), _206589 = _206587, _206585 = _206583, _206581 = _206579], (176 ^ _200881) ^ [_207067, _207069, _207071, _207073] : [-(plus(_207073, _207069) = plus(_207071, _207067)), _207073 = _207071, _207069 = _207067], (186 ^ _200881) ^ [_207398, _207400] : [_207400 = _207398, -(pred(_207400) = pred(_207398))], (192 ^ _200881) ^ [_207672, _207674, _207676, _207678, _207680, _207682] : [-(a_select3(_207682, _207678, _207674) = a_select3(_207680, _207676, _207672)), _207682 = _207680, _207678 = _207676, _207674 = _207672], (206 ^ _200881) ^ [_208216, _208218, _208220, _208222, _208224, _208226, _208228, _208230] : [-(tptp_update3(_208230, _208226, _208222, _208218) = tptp_update3(_208228, _208224, _208220, _208216)), _208230 = _208228, _208226 = _208224, _208222 = _208220, _208218 = _208216], (224 ^ _200881) ^ [_208877, _208879, _208881, _208883, _208885, _208887] : [-(tptp_update2(_208887, _208883, _208879) = tptp_update2(_208885, _208881, _208877)), _208887 = _208885, _208883 = _208881, _208879 = _208877], (238 ^ _200881) ^ [_209337, _209339] : [_209339 = _209337, -(succ(_209339) = succ(_209337))], (244 ^ _200881) ^ [_209583, _209585, _209587, _209589] : [-(minus(_209589, _209585) = minus(_209587, _209583)), _209589 = _209587, _209585 = _209583], (254 ^ _200881) ^ [_209922, _209924, _209926, _209928] : [-(a_select2(_209928, _209924) = a_select2(_209926, _209922)), _209928 = _209926, _209924 = _209922], (869 ^ _200881) ^ [] : [-(gt(n5, n4))], (871 ^ _200881) ^ [] : [-(gt(n6, n4))], (873 ^ _200881) ^ [] : [-(gt(n6, n5))], (875 ^ _200881) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _200881) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _200881) ^ [] : [-(gt(n6, tptp_minus_1))], (881 ^ _200881) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _200881) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _200881) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _200881) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _200881) ^ [] : [-(gt(n4, n0))], (891 ^ _200881) ^ [] : [-(gt(n5, n0))], (893 ^ _200881) ^ [] : [-(gt(n6, n0))], (895 ^ _200881) ^ [] : [-(gt(n1, n0))], (897 ^ _200881) ^ [] : [-(gt(n2, n0))], (899 ^ _200881) ^ [] : [-(gt(n3, n0))], (901 ^ _200881) ^ [] : [-(gt(n4, n1))], (903 ^ _200881) ^ [] : [-(gt(n5, n1))], (905 ^ _200881) ^ [] : [-(gt(n6, n1))], (907 ^ _200881) ^ [] : [-(gt(n2, n1))], (909 ^ _200881) ^ [] : [-(gt(n3, n1))], (911 ^ _200881) ^ [] : [-(gt(n4, n2))], (913 ^ _200881) ^ [] : [-(gt(n5, n2))], (915 ^ _200881) ^ [] : [-(gt(n6, n2))], (917 ^ _200881) ^ [] : [-(gt(n3, n2))], (919 ^ _200881) ^ [] : [-(gt(n4, n3))], (921 ^ _200881) ^ [] : [-(gt(n5, n3))], (923 ^ _200881) ^ [] : [-(gt(n6, n3))], (925 ^ _200881) ^ [_237762] : [leq(n0, _237762), leq(_237762, n4), -(_237762 = n0), -(_237762 = n1), -(_237762 = n2), -(_237762 = n3), -(_237762 = n4)], (951 ^ _200881) ^ [_238383] : [leq(n0, _238383), leq(_238383, n5), -(_238383 = n0), -(_238383 = n1), -(_238383 = n2), -(_238383 = n3), -(_238383 = n4), -(_238383 = n5)], (981 ^ _200881) ^ [_239090] : [leq(n0, _239090), leq(_239090, n6), -(_239090 = n0), -(_239090 = n1), -(_239090 = n2), -(_239090 = n3), -(_239090 = n4), -(_239090 = n5), -(_239090 = n6)], (1015 ^ _200881) ^ [_239883] : [-(_239883 = n0), leq(n0, _239883), leq(_239883, n0)], (1025 ^ _200881) ^ [_240158] : [leq(n0, _240158), leq(_240158, n1), -(_240158 = n0), -(_240158 = n1)], (1039 ^ _200881) ^ [_240521] : [leq(n0, _240521), leq(_240521, n2), -(_240521 = n0), -(_240521 = n1), -(_240521 = n2)], (1079 ^ _200881) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1081 ^ _200881) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1083 ^ _200881) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1085 ^ _200881) ^ [] : [-(succ(n0) = n1)], (1087 ^ _200881) ^ [] : [-(succ(succ(n0)) = n2)], (1089 ^ _200881) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1057 ^ _200881) ^ [_240970] : [leq(n0, _240970), leq(_240970, n3), -(_240970 = n0), -(_240970 = n1), -(_240970 = n2), -(_240970 = n3)], (264 ^ _200881) ^ [_210353, _210355] : [-(gt(_210355, _210353)), -(gt(_210353, _210355)), -(_210355 = _210353)], (274 ^ _200881) ^ [_210668, _210670, _210672] : [-(gt(_210672, _210668)), gt(_210672, _210670), gt(_210670, _210668)], (284 ^ _200881) ^ [_210947] : [gt(_210947, _210947)], (286 ^ _200881) ^ [_211025] : [-(leq(_211025, _211025))], (288 ^ _200881) ^ [_211146, _211148, _211150] : [-(leq(_211150, _211146)), leq(_211150, _211148), leq(_211148, _211146)], (298 ^ _200881) ^ [_211484, _211486] : [lt(_211486, _211484), -(gt(_211484, _211486))], (304 ^ _200881) ^ [_211646, _211648] : [gt(_211646, _211648), -(lt(_211648, _211646))], (310 ^ _200881) ^ [_211887, _211889] : [geq(_211889, _211887), -(leq(_211887, _211889))], (316 ^ _200881) ^ [_212049, _212051] : [leq(_212049, _212051), -(geq(_212051, _212049))], (322 ^ _200881) ^ [_212261, _212263] : [gt(_212261, _212263), -(leq(_212263, _212261))], (328 ^ _200881) ^ [_212471, _212473] : [-(gt(_212471, _212473)), leq(_212473, _212471), -(_212473 = _212471)], (338 ^ _200881) ^ [_212802, _212804] : [leq(_212804, pred(_212802)), -(gt(_212802, _212804))], (344 ^ _200881) ^ [_212968, _212970] : [gt(_212968, _212970), -(leq(_212970, pred(_212968)))], (350 ^ _200881) ^ [_213155] : [-(gt(succ(_213155), _213155))], (352 ^ _200881) ^ [_213264, _213266] : [leq(_213266, _213264), -(leq(_213266, succ(_213264)))], (358 ^ _200881) ^ [_213507, _213509] : [leq(_213509, _213507), -(gt(succ(_213507), _213509))], (364 ^ _200881) ^ [_213673, _213675] : [gt(succ(_213673), _213675), -(leq(_213675, _213673))], (370 ^ _200881) ^ [_213889, _213891] : [leq(n0, _213891), -(leq(uniform_int_rnd(_213889, _213891), _213891))], (376 ^ _200881) ^ [_214105, _214107] : [leq(n0, _214107), -(leq(n0, uniform_int_rnd(_214105, _214107)))], (382 ^ _200881) ^ [_214349, _214351, _214353, _214355] : [-(a_select2(tptp_const_array1(dim(_214353, _214351), _214349), _214355) = _214349), leq(_214353, _214355), leq(_214355, _214351)], (392 ^ _200881) ^ [_214756, _214758, _214760, _214762, _214764, _214766, _214768] : [-(a_select3(tptp_const_array2(dim(_214766, _214764), dim(_214760, _214758), _214756), _214768, _214762) = _214756), leq(_214766, _214768), leq(_214768, _214764), leq(_214760, _214762), leq(_214762, _214758)], (410 ^ _200881) ^ [_215351, _215353] : [413 ^ _200881 : [(414 ^ _200881) ^ [] : [-(leq(n0, 411 ^ [_215351, _215353]))], (416 ^ _200881) ^ [] : [-(leq(411 ^ [_215351, _215353], _215351))], (418 ^ _200881) ^ [] : [-(leq(n0, 412 ^ [_215351, _215353]))], (420 ^ _200881) ^ [] : [-(leq(412 ^ [_215351, _215353], _215351))], (422 ^ _200881) ^ [] : [a_select3(_215353, 411 ^ [_215351, _215353], 412 ^ [_215351, _215353]) = a_select3(_215353, 412 ^ [_215351, _215353], 411 ^ [_215351, _215353])]], 423 ^ _200881 : [(424 ^ _200881) ^ [_216108, _216110] : [-(a_select3(trans(_215353), _216110, _216108) = a_select3(trans(_215353), _216108, _216110)), leq(n0, _216110), leq(_216110, _215351), leq(n0, _216108), leq(_216108, _215351)]]], (442 ^ _200881) ^ [_216655, _216657] : [445 ^ _200881 : [(446 ^ _200881) ^ [] : [-(leq(n0, 443 ^ [_216655, _216657]))], (448 ^ _200881) ^ [] : [-(leq(443 ^ [_216655, _216657], _216655))], (450 ^ _200881) ^ [] : [-(leq(n0, 444 ^ [_216655, _216657]))], (452 ^ _200881) ^ [] : [-(leq(444 ^ [_216655, _216657], _216655))], (454 ^ _200881) ^ [] : [a_select3(_216657, 443 ^ [_216655, _216657], 444 ^ [_216655, _216657]) = a_select3(_216657, 444 ^ [_216655, _216657], 443 ^ [_216655, _216657])]], 455 ^ _200881 : [(456 ^ _200881) ^ [_217412, _217414] : [-(a_select3(inv(_216657), _217414, _217412) = a_select3(inv(_216657), _217412, _217414)), leq(n0, _217414), leq(_217414, _216655), leq(n0, _217412), leq(_217412, _216655)]]], (474 ^ _200881) ^ [_217959, _217961] : [477 ^ _200881 : [(478 ^ _200881) ^ [] : [-(leq(n0, 475 ^ [_217959, _217961]))], (480 ^ _200881) ^ [] : [-(leq(475 ^ [_217959, _217961], _217959))], (482 ^ _200881) ^ [] : [-(leq(n0, 476 ^ [_217959, _217961]))], (484 ^ _200881) ^ [] : [-(leq(476 ^ [_217959, _217961], _217959))], (486 ^ _200881) ^ [] : [a_select3(_217961, 475 ^ [_217959, _217961], 476 ^ [_217959, _217961]) = a_select3(_217961, 476 ^ [_217959, _217961], 475 ^ [_217959, _217961])]], 487 ^ _200881 : [(488 ^ _200881) ^ [_218772, _218774, _218776, _218778] : [-(a_select3(tptp_update3(_217961, _218774, _218774, _218772), _218778, _218776) = a_select3(tptp_update3(_217961, _218774, _218774, _218772), _218776, _218778)), leq(n0, _218778), leq(_218778, _217959), leq(n0, _218776), leq(_218776, _217959), leq(n0, _218774), leq(_218774, _217959)]]], (514 ^ _200881) ^ [_219591, _219593, _219595] : [519 ^ _200881 : [(520 ^ _200881) ^ [] : [-(leq(n0, 517 ^ [_219591, _219593, _219595]))], (522 ^ _200881) ^ [] : [-(leq(517 ^ [_219591, _219593, _219595], _219591))], (524 ^ _200881) ^ [] : [-(leq(n0, 518 ^ [_219591, _219593, _219595]))], (526 ^ _200881) ^ [] : [-(leq(518 ^ [_219591, _219593, _219595], _219591))], (528 ^ _200881) ^ [] : [a_select3(_219595, 517 ^ [_219591, _219593, _219595], 518 ^ [_219591, _219593, _219595]) = a_select3(_219595, 518 ^ [_219591, _219593, _219595], 517 ^ [_219591, _219593, _219595])]], 531 ^ _200881 : [(532 ^ _200881) ^ [] : [-(leq(n0, 529 ^ [_219591, _219593, _219595]))], (534 ^ _200881) ^ [] : [-(leq(529 ^ [_219591, _219593, _219595], _219591))], (536 ^ _200881) ^ [] : [-(leq(n0, 530 ^ [_219591, _219593, _219595]))], (538 ^ _200881) ^ [] : [-(leq(530 ^ [_219591, _219593, _219595], _219591))], (540 ^ _200881) ^ [] : [a_select3(_219593, 529 ^ [_219591, _219593, _219595], 530 ^ [_219591, _219593, _219595]) = a_select3(_219593, 530 ^ [_219591, _219593, _219595], 529 ^ [_219591, _219593, _219595])]], 541 ^ _200881 : [(542 ^ _200881) ^ [_221100, _221102] : [-(a_select3(tptp_madd(_219595, _219593), _221102, _221100) = a_select3(tptp_madd(_219595, _219593), _221100, _221102)), leq(n0, _221102), leq(_221102, _219591), leq(n0, _221100), leq(_221100, _219591)]]], (560 ^ _200881) ^ [_221686, _221688, _221690] : [565 ^ _200881 : [(566 ^ _200881) ^ [] : [-(leq(n0, 563 ^ [_221686, _221688, _221690]))], (568 ^ _200881) ^ [] : [-(leq(563 ^ [_221686, _221688, _221690], _221686))], (570 ^ _200881) ^ [] : [-(leq(n0, 564 ^ [_221686, _221688, _221690]))], (572 ^ _200881) ^ [] : [-(leq(564 ^ [_221686, _221688, _221690], _221686))], (574 ^ _200881) ^ [] : [a_select3(_221690, 563 ^ [_221686, _221688, _221690], 564 ^ [_221686, _221688, _221690]) = a_select3(_221690, 564 ^ [_221686, _221688, _221690], 563 ^ [_221686, _221688, _221690])]], 577 ^ _200881 : [(578 ^ _200881) ^ [] : [-(leq(n0, 575 ^ [_221686, _221688, _221690]))], (580 ^ _200881) ^ [] : [-(leq(575 ^ [_221686, _221688, _221690], _221686))], (582 ^ _200881) ^ [] : [-(leq(n0, 576 ^ [_221686, _221688, _221690]))], (584 ^ _200881) ^ [] : [-(leq(576 ^ [_221686, _221688, _221690], _221686))], (586 ^ _200881) ^ [] : [a_select3(_221688, 575 ^ [_221686, _221688, _221690], 576 ^ [_221686, _221688, _221690]) = a_select3(_221688, 576 ^ [_221686, _221688, _221690], 575 ^ [_221686, _221688, _221690])]], 587 ^ _200881 : [(588 ^ _200881) ^ [_223195, _223197] : [-(a_select3(tptp_msub(_221690, _221688), _223197, _223195) = a_select3(tptp_msub(_221690, _221688), _223195, _223197)), leq(n0, _223197), leq(_223197, _221686), leq(n0, _223195), leq(_223195, _221686)]]], (606 ^ _200881) ^ [_223781, _223783, _223785] : [609 ^ _200881 : [(610 ^ _200881) ^ [] : [-(leq(n0, 607 ^ [_223781, _223783, _223785]))], (612 ^ _200881) ^ [] : [-(leq(607 ^ [_223781, _223783, _223785], _223781))], (614 ^ _200881) ^ [] : [-(leq(n0, 608 ^ [_223781, _223783, _223785]))], (616 ^ _200881) ^ [] : [-(leq(608 ^ [_223781, _223783, _223785], _223781))], (618 ^ _200881) ^ [] : [a_select3(_223783, 607 ^ [_223781, _223783, _223785], 608 ^ [_223781, _223783, _223785]) = a_select3(_223783, 608 ^ [_223781, _223783, _223785], 607 ^ [_223781, _223783, _223785])]], 619 ^ _200881 : [(620 ^ _200881) ^ [_224594, _224596] : [-(a_select3(tptp_mmul(_223785, tptp_mmul(_223783, trans(_223785))), _224596, _224594) = a_select3(tptp_mmul(_223785, tptp_mmul(_223783, trans(_223785))), _224594, _224596)), leq(n0, _224596), leq(_224596, _223781), leq(n0, _224594), leq(_224594, _223781)]]], (638 ^ _200881) ^ [_225213, _225215, _225217, _225219] : [641 ^ _200881 : [(642 ^ _200881) ^ [] : [-(leq(n0, 639 ^ [_225213, _225215, _225217, _225219]))], (644 ^ _200881) ^ [] : [-(leq(639 ^ [_225213, _225215, _225217, _225219], _225213))], (646 ^ _200881) ^ [] : [-(leq(n0, 640 ^ [_225213, _225215, _225217, _225219]))], (648 ^ _200881) ^ [] : [-(leq(640 ^ [_225213, _225215, _225217, _225219], _225213))], (650 ^ _200881) ^ [] : [a_select3(_225217, 639 ^ [_225213, _225215, _225217, _225219], 640 ^ [_225213, _225215, _225217, _225219]) = a_select3(_225217, 640 ^ [_225213, _225215, _225217, _225219], 639 ^ [_225213, _225215, _225217, _225219])]], 651 ^ _200881 : [(652 ^ _200881) ^ [_226070, _226072] : [-(a_select3(tptp_mmul(_225219, tptp_mmul(_225217, trans(_225219))), _226072, _226070) = a_select3(tptp_mmul(_225219, tptp_mmul(_225217, trans(_225219))), _226070, _226072)), leq(n0, _226072), leq(_226072, _225215), leq(n0, _226070), leq(_226070, _225215)]]], (670 ^ _200881) ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779] : [675 ^ _200881 : [(676 ^ _200881) ^ [] : [-(leq(n0, 673 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (678 ^ _200881) ^ [] : [-(leq(673 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226765))], (680 ^ _200881) ^ [] : [-(leq(n0, 674 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (682 ^ _200881) ^ [] : [-(leq(674 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226765))], (684 ^ _200881) ^ [] : [a_select3(_226773, 673 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 674 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]) = a_select3(_226773, 674 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 673 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779])]], 689 ^ _200881 : [(690 ^ _200881) ^ [] : [-(leq(n0, 687 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (692 ^ _200881) ^ [] : [-(leq(687 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226767))], (694 ^ _200881) ^ [] : [-(leq(n0, 688 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (696 ^ _200881) ^ [] : [-(leq(688 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226767))], (698 ^ _200881) ^ [] : [a_select3(_226779, 687 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 688 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]) = a_select3(_226779, 688 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 687 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779])]], 701 ^ _200881 : [(702 ^ _200881) ^ [] : [-(leq(n0, 699 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (704 ^ _200881) ^ [] : [-(leq(699 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226767))], (706 ^ _200881) ^ [] : [-(leq(n0, 700 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]))], (708 ^ _200881) ^ [] : [-(leq(700 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], _226767))], (710 ^ _200881) ^ [] : [a_select3(_226769, 699 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 700 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779]) = a_select3(_226769, 700 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779], 699 ^ [_226765, _226767, _226769, _226771, _226773, _226775, _226777, _226779])]], 711 ^ _200881 : [(712 ^ _200881) ^ [_229693, _229695] : [-(a_select3(tptp_madd(_226779, tptp_mmul(_226777, tptp_mmul(tptp_madd(tptp_mmul(_226775, tptp_mmul(_226773, trans(_226775))), tptp_mmul(_226771, tptp_mmul(_226769, trans(_226771)))), trans(_226777)))), _229695, _229693) = a_select3(tptp_madd(_226779, tptp_mmul(_226777, tptp_mmul(tptp_madd(tptp_mmul(_226775, tptp_mmul(_226773, trans(_226775))), tptp_mmul(_226771, tptp_mmul(_226769, trans(_226771)))), trans(_226777)))), _229693, _229695)), leq(n0, _229695), leq(_229695, _226767), leq(n0, _229693), leq(_229693, _226767)]]], (730 ^ _200881) ^ [_230446] : [-(sum(n0, tptp_minus_1, _230446) = n0)], (732 ^ _200881) ^ [_230528] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230528))], (734 ^ _200881) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _200881) ^ [_230663] : [-(plus(_230663, n1) = succ(_230663))], (738 ^ _200881) ^ [_230746] : [-(plus(n1, _230746) = succ(_230746))], (740 ^ _200881) ^ [_230829] : [-(plus(_230829, n2) = succ(succ(_230829)))], (742 ^ _200881) ^ [_230914] : [-(plus(n2, _230914) = succ(succ(_230914)))], (744 ^ _200881) ^ [_230999] : [-(plus(_230999, n3) = succ(succ(succ(_230999))))], (746 ^ _200881) ^ [_231086] : [-(plus(n3, _231086) = succ(succ(succ(_231086))))], (748 ^ _200881) ^ [_231173] : [-(plus(_231173, n4) = succ(succ(succ(succ(_231173)))))], (750 ^ _200881) ^ [_231262] : [-(plus(n4, _231262) = succ(succ(succ(succ(_231262)))))], (752 ^ _200881) ^ [_231351] : [-(plus(_231351, n5) = succ(succ(succ(succ(succ(_231351))))))], (754 ^ _200881) ^ [_231442] : [-(plus(n5, _231442) = succ(succ(succ(succ(succ(_231442))))))], (756 ^ _200881) ^ [_231533] : [-(minus(_231533, n1) = pred(_231533))], (758 ^ _200881) ^ [_231616] : [-(pred(succ(_231616)) = _231616)], (760 ^ _200881) ^ [_231698] : [-(succ(pred(_231698)) = _231698)], (762 ^ _200881) ^ [_231838, _231840] : [leq(succ(_231840), succ(_231838)), -(leq(_231840, _231838))], (768 ^ _200881) ^ [_232008, _232010] : [leq(_232010, _232008), -(leq(succ(_232010), succ(_232008)))], (774 ^ _200881) ^ [_232228, _232230] : [leq(succ(_232230), _232228), -(gt(_232228, _232230))], (780 ^ _200881) ^ [_232442, _232444] : [leq(minus(_232444, _232442), _232444), -(leq(n0, _232442))], (786 ^ _200881) ^ [_232671, _232673, _232675, _232677] : [-(a_select3(tptp_update3(_232677, _232675, _232673, _232671), _232675, _232673) = _232671)], (788 ^ _200881) ^ [_232863, _232865, _232867, _232869, _232871, _232873, _232875] : [-(a_select3(tptp_update3(_232867, _232875, _232873, _232863), _232871, _232869) = _232865), -(_232875 = _232871), _232873 = _232869, a_select3(_232867, _232871, _232869) = _232865], (802 ^ _200881) ^ [_233406, _233408, _233410, _233412, _233414, _233416] : [-(a_select3(tptp_update3(_233408, _233412, _233410, _233406), _233416, _233414) = _233406), 807 ^ _200881 : [(808 ^ _200881) ^ [] : [-(leq(n0, 805 ^ [_233406, _233408, _233410, _233412, _233414, _233416]))], (810 ^ _200881) ^ [] : [-(leq(n0, 806 ^ [_233406, _233408, _233410, _233412, _233414, _233416]))], (812 ^ _200881) ^ [] : [-(leq(805 ^ [_233406, _233408, _233410, _233412, _233414, _233416], _233412))], (814 ^ _200881) ^ [] : [-(leq(806 ^ [_233406, _233408, _233410, _233412, _233414, _233416], _233410))], (816 ^ _200881) ^ [] : [a_select3(_233408, 805 ^ [_233406, _233408, _233410, _233412, _233414, _233416], 806 ^ [_233406, _233408, _233410, _233412, _233414, _233416]) = _233406]], leq(n0, _233416), leq(_233416, _233412), leq(n0, _233414), leq(_233414, _233410)], (834 ^ _200881) ^ [_234748, _234750, _234752] : [-(a_select2(tptp_update2(_234752, _234750, _234748), _234750) = _234748)], (836 ^ _200881) ^ [_234908, _234910, _234912, _234914, _234916] : [-(a_select2(tptp_update2(_234912, _234916, _234908), _234914) = _234910), -(_234916 = _234914), a_select2(_234912, _234914) = _234910], (865 ^ _200881) ^ [] : [-(true)], (867 ^ _200881) ^ [] : [def = use], (846 ^ _200881) ^ [_235288, _235290, _235292, _235294] : [-(a_select2(tptp_update2(_235290, _235292, _235288), _235294) = _235288), 850 ^ _200881 : [(851 ^ _200881) ^ [] : [-(leq(n0, 849 ^ [_235288, _235290, _235292, _235294]))], (853 ^ _200881) ^ [] : [-(leq(849 ^ [_235288, _235290, _235292, _235294], _235292))], (855 ^ _200881) ^ [] : [a_select2(_235290, 849 ^ [_235288, _235290, _235292, _235294]) = _235288]], leq(n0, _235294), leq(_235294, _235292)]], input).
% 0.33/1.38 ncf('1',plain,[true],start(1097 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------