TSTP Solution File: NUM472+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 11:44:43 EDT 2023
% Result : Theorem 24.16s 24.12s
% Output : Proof 24.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM472+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.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 : Thu May 18 17:50:07 EDT 2023
% 0.18/0.33 % CPUTime :
% 24.16/24.12
% 24.16/24.12 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 24.16/24.12 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.16/24.12 %-----------------------------------------------------
% 24.16/24.12 ncf(matrix, plain, [(680 ^ _91931) ^ [] : [sdtlseqdt0(xm, sdtpldt0(xm, xn))], (72 ^ _91931) ^ [_94346, _94348, _94350, _94352] : [-(sdtmndt0(_94352, _94348) = sdtmndt0(_94350, _94346)), _94352 = _94350, _94348 = _94346], (82 ^ _91931) ^ [_94705, _94707, _94709, _94711] : [-(sdtasdt0(_94711, _94707) = sdtasdt0(_94709, _94705)), _94711 = _94709, _94707 = _94705], (92 ^ _91931) ^ [_95064, _95066, _95068, _95070] : [-(sdtsldt0(_95070, _95066) = sdtsldt0(_95068, _95064)), _95070 = _95068, _95066 = _95064], (102 ^ _91931) ^ [_95403, _95405, _95407, _95409] : [-(sdtpldt0(_95409, _95405) = sdtpldt0(_95407, _95403)), _95409 = _95407, _95405 = _95403], (2 ^ _91931) ^ [_92075] : [-(_92075 = _92075)], (4 ^ _91931) ^ [_92182, _92184] : [_92184 = _92182, -(_92182 = _92184)], (10 ^ _91931) ^ [_92386, _92388, _92390] : [-(_92390 = _92386), _92390 = _92388, _92388 = _92386], (20 ^ _91931) ^ [_92727, _92729, _92731, _92733] : [-(iLess0(_92731, _92727)), iLess0(_92733, _92729), _92733 = _92731, _92729 = _92727], (34 ^ _91931) ^ [_93143, _93145] : [-(aNaturalNumber0(_93143)), _93145 = _93143, aNaturalNumber0(_93145)], (44 ^ _91931) ^ [_93466, _93468, _93470, _93472] : [-(doDivides0(_93470, _93466)), doDivides0(_93472, _93468), _93472 = _93470, _93468 = _93466], (58 ^ _91931) ^ [_93890, _93892, _93894, _93896] : [-(sdtlseqdt0(_93894, _93890)), sdtlseqdt0(_93896, _93892), _93896 = _93894, _93892 = _93890], (112 ^ _91931) ^ [_95734] : [aNaturalNumber0(_95734), true___, -(true___)], (122 ^ _91931) ^ [] : [-(aNaturalNumber0(sz00))], (124 ^ _91931) ^ [] : [-(aNaturalNumber0(sz10))], (126 ^ _91931) ^ [] : [sz10 = sz00], (128 ^ _91931) ^ [_96163, _96165] : [-(aNaturalNumber0(sdtpldt0(_96165, _96163))), aNaturalNumber0(_96165), aNaturalNumber0(_96163)], (138 ^ _91931) ^ [_96462, _96464] : [-(aNaturalNumber0(sdtasdt0(_96464, _96462))), aNaturalNumber0(_96464), aNaturalNumber0(_96462)], (148 ^ _91931) ^ [_96761, _96763] : [-(sdtpldt0(_96763, _96761) = sdtpldt0(_96761, _96763)), aNaturalNumber0(_96763), aNaturalNumber0(_96761)], (158 ^ _91931) ^ [_97082, _97084, _97086] : [-(sdtpldt0(sdtpldt0(_97086, _97084), _97082) = sdtpldt0(_97086, sdtpldt0(_97084, _97082))), aNaturalNumber0(_97086), aNaturalNumber0(_97084), aNaturalNumber0(_97082)], (172 ^ _91931) ^ [_97488] : [aNaturalNumber0(_97488), 175 ^ _91931 : [(176 ^ _91931) ^ [] : [-(sdtpldt0(_97488, sz00) = _97488)], (178 ^ _91931) ^ [] : [-(_97488 = sdtpldt0(sz00, _97488))]]], (180 ^ _91931) ^ [_97775, _97777] : [-(sdtasdt0(_97777, _97775) = sdtasdt0(_97775, _97777)), aNaturalNumber0(_97777), aNaturalNumber0(_97775)], (190 ^ _91931) ^ [_98096, _98098, _98100] : [-(sdtasdt0(sdtasdt0(_98100, _98098), _98096) = sdtasdt0(_98100, sdtasdt0(_98098, _98096))), aNaturalNumber0(_98100), aNaturalNumber0(_98098), aNaturalNumber0(_98096)], (204 ^ _91931) ^ [_98502] : [aNaturalNumber0(_98502), 207 ^ _91931 : [(208 ^ _91931) ^ [] : [-(sdtasdt0(_98502, sz10) = _98502)], (210 ^ _91931) ^ [] : [-(_98502 = sdtasdt0(sz10, _98502))]]], (212 ^ _91931) ^ [_98775] : [aNaturalNumber0(_98775), 215 ^ _91931 : [(216 ^ _91931) ^ [] : [-(sdtasdt0(_98775, sz00) = sz00)], (218 ^ _91931) ^ [] : [-(sz00 = sdtasdt0(sz00, _98775))]]], (220 ^ _91931) ^ [_99076, _99078, _99080] : [231 ^ _91931 : [(232 ^ _91931) ^ [] : [-(sdtasdt0(_99080, sdtpldt0(_99078, _99076)) = sdtpldt0(sdtasdt0(_99080, _99078), sdtasdt0(_99080, _99076)))], (234 ^ _91931) ^ [] : [-(sdtasdt0(sdtpldt0(_99078, _99076), _99080) = sdtpldt0(sdtasdt0(_99078, _99080), sdtasdt0(_99076, _99080)))]], aNaturalNumber0(_99080), aNaturalNumber0(_99078), aNaturalNumber0(_99076)], (236 ^ _91931) ^ [_99623, _99625, _99627] : [249 ^ _91931 : [(250 ^ _91931) ^ [] : [sdtpldt0(_99627, _99625) = sdtpldt0(_99627, _99623)], (252 ^ _91931) ^ [] : [sdtpldt0(_99625, _99627) = sdtpldt0(_99623, _99627)]], -(_99625 = _99623), aNaturalNumber0(_99627), aNaturalNumber0(_99625), aNaturalNumber0(_99623)], (256 ^ _91931) ^ [_100200] : [aNaturalNumber0(_100200), -(_100200 = sz00), 263 ^ _91931 : [(264 ^ _91931) ^ [_100462, _100464] : [aNaturalNumber0(_100464), aNaturalNumber0(_100462), 273 ^ _91931 : [(274 ^ _91931) ^ [] : [sdtasdt0(_100200, _100464) = sdtasdt0(_100200, _100462)], (276 ^ _91931) ^ [] : [sdtasdt0(_100464, _100200) = sdtasdt0(_100462, _100200)]], -(_100464 = _100462)]]], (280 ^ _91931) ^ [_100973, _100975] : [aNaturalNumber0(_100975), aNaturalNumber0(_100973), sdtpldt0(_100975, _100973) = sz00, 291 ^ _91931 : [(292 ^ _91931) ^ [] : [-(_100975 = sz00)], (294 ^ _91931) ^ [] : [-(_100973 = sz00)]]], (296 ^ _91931) ^ [_101440, _101442] : [aNaturalNumber0(_101442), aNaturalNumber0(_101440), sdtasdt0(_101442, _101440) = sz00, -(_101442 = sz00), -(_101440 = sz00)], (314 ^ _91931) ^ [_101922, _101924] : [aNaturalNumber0(_101924), aNaturalNumber0(_101922), 321 ^ _91931 : [(322 ^ _91931) ^ [] : [sdtlseqdt0(_101924, _101922), 326 ^ _91931 : [(327 ^ _91931) ^ [] : [-(aNaturalNumber0(325 ^ [_101922, _101924]))], (329 ^ _91931) ^ [] : [-(sdtpldt0(_101924, 325 ^ [_101922, _101924]) = _101922)]]], (331 ^ _91931) ^ [] : [-(sdtlseqdt0(_101924, _101922)), 332 ^ _91931 : [(333 ^ _91931) ^ [_102482] : [aNaturalNumber0(_102482), sdtpldt0(_101924, _102482) = _101922]]]]], (341 ^ _91931) ^ [_102765, _102767] : [aNaturalNumber0(_102767), aNaturalNumber0(_102765), sdtlseqdt0(_102767, _102765), 352 ^ _91931 : [(353 ^ _91931) ^ [_103112] : [_103112 = sdtmndt0(_102765, _102767), 356 ^ _91931 : [(357 ^ _91931) ^ [] : [-(aNaturalNumber0(_103112))], (359 ^ _91931) ^ [] : [-(sdtpldt0(_102767, _103112) = _102765)]]], (361 ^ _91931) ^ [_103371] : [-(_103371 = sdtmndt0(_102765, _102767)), aNaturalNumber0(_103371), sdtpldt0(_102767, _103371) = _102765]]], (371 ^ _91931) ^ [_103693] : [aNaturalNumber0(_103693), -(sdtlseqdt0(_103693, _103693))], (377 ^ _91931) ^ [_103895, _103897] : [aNaturalNumber0(_103897), aNaturalNumber0(_103895), -(_103897 = _103895), sdtlseqdt0(_103897, _103895), sdtlseqdt0(_103895, _103897)], (395 ^ _91931) ^ [_104384, _104386, _104388] : [aNaturalNumber0(_104388), aNaturalNumber0(_104386), aNaturalNumber0(_104384), -(sdtlseqdt0(_104388, _104384)), sdtlseqdt0(_104388, _104386), sdtlseqdt0(_104386, _104384)], (417 ^ _91931) ^ [_104970, _104972] : [aNaturalNumber0(_104972), aNaturalNumber0(_104970), -(sdtlseqdt0(_104972, _104970)), 428 ^ _91931 : [(429 ^ _91931) ^ [] : [_104970 = _104972], (431 ^ _91931) ^ [] : [-(sdtlseqdt0(_104970, _104972))]]], (433 ^ _91931) ^ [_105433, _105435] : [aNaturalNumber0(_105435), aNaturalNumber0(_105433), -(_105435 = _105433), sdtlseqdt0(_105435, _105433), 448 ^ _91931 : [(449 ^ _91931) ^ [_105877] : [aNaturalNumber0(_105877), 452 ^ _91931 : [(453 ^ _91931) ^ [] : [sdtpldt0(_105877, _105435) = sdtpldt0(_105877, _105433)], (455 ^ _91931) ^ [] : [-(sdtlseqdt0(sdtpldt0(_105877, _105435), sdtpldt0(_105877, _105433)))], (457 ^ _91931) ^ [] : [sdtpldt0(_105435, _105877) = sdtpldt0(_105433, _105877)], (459 ^ _91931) ^ [] : [-(sdtlseqdt0(sdtpldt0(_105435, _105877), sdtpldt0(_105433, _105877)))]]]]], (461 ^ _91931) ^ [_106401, _106403, _106405] : [aNaturalNumber0(_106405), aNaturalNumber0(_106403), aNaturalNumber0(_106401), 484 ^ _91931 : [(485 ^ _91931) ^ [] : [sdtasdt0(_106405, _106403) = sdtasdt0(_106405, _106401)], (487 ^ _91931) ^ [] : [-(sdtlseqdt0(sdtasdt0(_106405, _106403), sdtasdt0(_106405, _106401)))], (489 ^ _91931) ^ [] : [sdtasdt0(_106403, _106405) = sdtasdt0(_106401, _106405)], (491 ^ _91931) ^ [] : [-(sdtlseqdt0(sdtasdt0(_106403, _106405), sdtasdt0(_106401, _106405)))]], -(_106405 = sz00), -(_106403 = _106401), sdtlseqdt0(_106403, _106401)], (493 ^ _91931) ^ [_107351] : [aNaturalNumber0(_107351), -(_107351 = sz00), -(_107351 = sz10), 504 ^ _91931 : [(505 ^ _91931) ^ [] : [sz10 = _107351], (507 ^ _91931) ^ [] : [-(sdtlseqdt0(sz10, _107351))]]], (509 ^ _91931) ^ [_107799, _107801] : [aNaturalNumber0(_107801), aNaturalNumber0(_107799), -(_107801 = sz00), -(sdtlseqdt0(_107799, sdtasdt0(_107799, _107801)))], (523 ^ _91931) ^ [_108194, _108196] : [aNaturalNumber0(_108196), aNaturalNumber0(_108194), iLess0(_108196, _108194), true___, -(true___)], (541 ^ _91931) ^ [_108654, _108656] : [aNaturalNumber0(_108656), aNaturalNumber0(_108654), -(iLess0(_108656, _108654)), -(_108656 = _108654), sdtlseqdt0(_108656, _108654)], (559 ^ _91931) ^ [_109132, _109134] : [aNaturalNumber0(_109134), aNaturalNumber0(_109132), 566 ^ _91931 : [(567 ^ _91931) ^ [] : [doDivides0(_109134, _109132), 571 ^ _91931 : [(572 ^ _91931) ^ [] : [-(aNaturalNumber0(570 ^ [_109132, _109134]))], (574 ^ _91931) ^ [] : [-(_109132 = sdtasdt0(_109134, 570 ^ [_109132, _109134]))]]], (576 ^ _91931) ^ [] : [-(doDivides0(_109134, _109132)), 577 ^ _91931 : [(578 ^ _91931) ^ [_109692] : [aNaturalNumber0(_109692), _109132 = sdtasdt0(_109134, _109692)]]]]], (586 ^ _91931) ^ [_109975, _109977] : [aNaturalNumber0(_109977), aNaturalNumber0(_109975), -(_109977 = sz00), doDivides0(_109977, _109975), 601 ^ _91931 : [(602 ^ _91931) ^ [_110414] : [_110414 = sdtsldt0(_109975, _109977), 605 ^ _91931 : [(606 ^ _91931) ^ [] : [-(aNaturalNumber0(_110414))], (608 ^ _91931) ^ [] : [-(_109975 = sdtasdt0(_109977, _110414))]]], (610 ^ _91931) ^ [_110673] : [-(_110673 = sdtsldt0(_109975, _109977)), aNaturalNumber0(_110673), _109975 = sdtasdt0(_109977, _110673)]]], (620 ^ _91931) ^ [_111025, _111027, _111029] : [aNaturalNumber0(_111029), aNaturalNumber0(_111027), aNaturalNumber0(_111025), -(doDivides0(_111029, _111025)), doDivides0(_111029, _111027), doDivides0(_111027, _111025)], (664 ^ _91931) ^ [] : [-(aNaturalNumber0(xl))], (666 ^ _91931) ^ [] : [-(aNaturalNumber0(xm))], (668 ^ _91931) ^ [] : [-(aNaturalNumber0(xn))], (670 ^ _91931) ^ [] : [-(doDivides0(xl, xm))], (672 ^ _91931) ^ [] : [-(doDivides0(xl, sdtpldt0(xm, xn)))], (674 ^ _91931) ^ [] : [xl = sz00], (676 ^ _91931) ^ [] : [-(xp = sdtsldt0(xm, xl))], (678 ^ _91931) ^ [] : [-(xq = sdtsldt0(sdtpldt0(xm, xn), xl))], (642 ^ _91931) ^ [_111625, _111627, _111629] : [aNaturalNumber0(_111629), aNaturalNumber0(_111627), aNaturalNumber0(_111625), -(doDivides0(_111629, sdtpldt0(_111627, _111625))), doDivides0(_111629, _111627), doDivides0(_111629, _111625)]], input).
% 24.16/24.12 ncf('1',plain,[sdtlseqdt0(xm, sdtpldt0(xm, xn))],start(680 ^ 0)).
% 24.16/24.12 ncf('1.1',plain,[-(sdtlseqdt0(xm, sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(sdtpldt0(xm, xn)), 431 : -(sdtlseqdt0(sdtpldt0(xm, xn), xm))],extension(417 ^ 1,bind([[_104970, _104972], [sdtpldt0(xm, xn), xm]]))).
% 24.16/24.12 ncf('1.1.1',plain,[-(aNaturalNumber0(xm))],extension(666 ^ 2)).
% 24.16/24.12 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(128 ^ 2,bind([[_96163, _96165], [xn, xm]]))).
% 24.16/24.12 ncf('1.1.2.1',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 24.16/24.12 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 3)).
% 24.16/24.12 ncf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xm, xn), xm), 329 : -(sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = xm), 322 : aNaturalNumber0(sdtpldt0(xm, xn)), 322 : aNaturalNumber0(xm)],extension(314 ^ 4,bind([[_101922, _101924], [xm, sdtpldt0(xm, xn)]]))).
% 24.16/24.12 ncf('1.1.3.1',plain,[sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = xm, -(sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)])), xm = sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)])],extension(10 ^ 9,bind([[_92386, _92388, _92390], [sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]), xm, sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)])]]))).
% 24.16/24.12 ncf('1.1.3.1.1',plain,[sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]), -(sdtpldt0(xm, xn) = sdtpldt0(xm, xn)), aNaturalNumber0(325 ^ [xm, sdtpldt0(xm, xn)]), aNaturalNumber0(sdtpldt0(xm, xn)), aNaturalNumber0(sdtpldt0(xm, xn))],extension(236 ^ 10,bind([[_99623, _99625, _99627], [sdtpldt0(xm, xn), sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]]]))).
% 24.16/24.12 ncf('1.1.3.1.1.1',plain,[sdtpldt0(xm, xn) = sdtpldt0(xm, xn), 333 : aNaturalNumber0(xn), 333 : -(sdtlseqdt0(xm, sdtpldt0(xm, xn))), 331 : aNaturalNumber0(xm), 331 : aNaturalNumber0(sdtpldt0(xm, xn))],extension(314 ^ 11,bind([[_101922, _101924, _102482], [sdtpldt0(xm, xn), xm, xn]]))).
% 24.16/24.12 ncf('1.1.3.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(668 ^ 16)).
% 24.16/24.12 ncf('1.1.3.1.1.1.2',plain,[sdtlseqdt0(xm, sdtpldt0(xm, xn))],reduction('1')).
% 24.16/24.12 ncf('1.1.3.1.1.1.3',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 24.16/24.12 ncf('1.1.3.1.1.1.4',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1].x')).
% 24.16/24.12 ncf('1.1.3.1.1.2',plain,[-(aNaturalNumber0(325 ^ [xm, sdtpldt0(xm, xn)]))],extension(327 ^ 11)).
% 24.16/24.12 ncf('1.1.3.1.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1].x')).
% 24.16/24.12 ncf('1.1.3.1.1.4',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1, 3, 1, 1].x')).
% 24.16/24.12 ncf('1.1.3.1.2',plain,[-(xm = sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)])), sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = xm],extension(4 ^ 10,bind([[_92182, _92184], [xm, sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)])]]))).
% 24.16/24.12 ncf('1.1.3.1.2.1',plain,[-(sdtpldt0(sdtpldt0(xm, xn), 325 ^ [xm, sdtpldt0(xm, xn)]) = xm)],reduction('1.1.3')).
% 24.16/24.12 ncf('1.1.3.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('[1].x')).
% 24.16/24.12 ncf('1.1.3.3',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 24.16/24.12 %-----------------------------------------------------
% 24.16/24.12 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------