TSTP Solution File: NUM436+3 by nanoCoP---2.0

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:44:38 EDT 2023

% Result   : Theorem 100.91s 98.49s
% Output   : Proof 100.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 16:54:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 100.91/98.49  
% 100.91/98.49  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 100.91/98.49  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.91/98.49  %-----------------------------------------------------
% 100.91/98.49  ncf(matrix, plain, [(410 ^ _63994) ^ [] : [411 ^ _63994 : [(418 ^ _63994) ^ [] : [aDivisorOf0(xp, sdtpldt0(xa, smndt0(xb)))], (420 ^ _63994) ^ [] : [sdteqdtlpzmzozddtrp0(xa, xb, xp)], (412 ^ _63994) ^ [_76907] : [aInteger0(_76907), sdtasdt0(xp, _76907) = sdtpldt0(xa, smndt0(xb))]], 421 ^ _63994 : [(428 ^ _63994) ^ [] : [aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))], (430 ^ _63994) ^ [] : [sdteqdtlpzmzozddtrp0(xa, xb, xq)], (422 ^ _63994) ^ [_77190] : [aInteger0(_77190), sdtasdt0(xq, _77190) = sdtpldt0(xa, smndt0(xb))]]], (62 ^ _63994) ^ [_66128, _66130, _66132, _66134] : [-(sdtasdt0(_66134, _66130) = sdtasdt0(_66132, _66128)), _66134 = _66132, _66130 = _66128], (82 ^ _63994) ^ [_66798, _66800] : [_66800 = _66798, -(smndt0(_66800) = smndt0(_66798))], (72 ^ _63994) ^ [_66487, _66489, _66491, _66493] : [-(sdtpldt0(_66493, _66489) = sdtpldt0(_66491, _66487)), _66493 = _66491, _66489 = _66487], (2 ^ _63994) ^ [_64138] : [-(_64138 = _64138)], (4 ^ _63994) ^ [_64245, _64247] : [_64247 = _64245, -(_64245 = _64247)], (10 ^ _63994) ^ [_64449, _64451, _64453] : [-(_64453 = _64449), _64453 = _64451, _64451 = _64449], (20 ^ _63994) ^ [_64762, _64764] : [-(aInteger0(_64762)), _64764 = _64762, aInteger0(_64764)], (30 ^ _63994) ^ [_65085, _65087, _65089, _65091] : [-(aDivisorOf0(_65089, _65085)), aDivisorOf0(_65091, _65087), _65091 = _65089, _65087 = _65085], (44 ^ _63994) ^ [_65537, _65539, _65541, _65543, _65545, _65547] : [-(sdteqdtlpzmzozddtrp0(_65545, _65541, _65537)), sdteqdtlpzmzozddtrp0(_65547, _65543, _65539), _65547 = _65545, _65543 = _65541, _65539 = _65537], (88 ^ _63994) ^ [_67012] : [aInteger0(_67012), true___, -(true___)], (98 ^ _63994) ^ [] : [-(aInteger0(sz00))], (100 ^ _63994) ^ [] : [-(aInteger0(sz10))], (102 ^ _63994) ^ [_67373] : [aInteger0(_67373), -(aInteger0(smndt0(_67373)))], (108 ^ _63994) ^ [_67577, _67579] : [-(aInteger0(sdtpldt0(_67579, _67577))), aInteger0(_67579), aInteger0(_67577)], (118 ^ _63994) ^ [_67876, _67878] : [-(aInteger0(sdtasdt0(_67878, _67876))), aInteger0(_67878), aInteger0(_67876)], (128 ^ _63994) ^ [_68189, _68191, _68193] : [-(sdtpldt0(_68193, sdtpldt0(_68191, _68189)) = sdtpldt0(sdtpldt0(_68193, _68191), _68189)), aInteger0(_68193), aInteger0(_68191), aInteger0(_68189)], (142 ^ _63994) ^ [_68609, _68611] : [-(sdtpldt0(_68611, _68609) = sdtpldt0(_68609, _68611)), aInteger0(_68611), aInteger0(_68609)], (152 ^ _63994) ^ [_68902] : [aInteger0(_68902), 155 ^ _63994 : [(156 ^ _63994) ^ [] : [-(sdtpldt0(_68902, sz00) = _68902)], (158 ^ _63994) ^ [] : [-(_68902 = sdtpldt0(sz00, _68902))]]], (160 ^ _63994) ^ [_69175] : [aInteger0(_69175), 163 ^ _63994 : [(164 ^ _63994) ^ [] : [-(sdtpldt0(_69175, smndt0(_69175)) = sz00)], (166 ^ _63994) ^ [] : [-(sz00 = sdtpldt0(smndt0(_69175), _69175))]]], (168 ^ _63994) ^ [_69484, _69486, _69488] : [-(sdtasdt0(_69488, sdtasdt0(_69486, _69484)) = sdtasdt0(sdtasdt0(_69488, _69486), _69484)), aInteger0(_69488), aInteger0(_69486), aInteger0(_69484)], (182 ^ _63994) ^ [_69904, _69906] : [-(sdtasdt0(_69906, _69904) = sdtasdt0(_69904, _69906)), aInteger0(_69906), aInteger0(_69904)], (192 ^ _63994) ^ [_70197] : [aInteger0(_70197), 195 ^ _63994 : [(196 ^ _63994) ^ [] : [-(sdtasdt0(_70197, sz10) = _70197)], (198 ^ _63994) ^ [] : [-(_70197 = sdtasdt0(sz10, _70197))]]], (200 ^ _63994) ^ [_70498, _70500, _70502] : [211 ^ _63994 : [(212 ^ _63994) ^ [] : [-(sdtasdt0(_70502, sdtpldt0(_70500, _70498)) = sdtpldt0(sdtasdt0(_70502, _70500), sdtasdt0(_70502, _70498)))], (214 ^ _63994) ^ [] : [-(sdtasdt0(sdtpldt0(_70502, _70500), _70498) = sdtpldt0(sdtasdt0(_70502, _70498), sdtasdt0(_70500, _70498)))]], aInteger0(_70502), aInteger0(_70500), aInteger0(_70498)], (216 ^ _63994) ^ [_71017] : [aInteger0(_71017), 219 ^ _63994 : [(220 ^ _63994) ^ [] : [-(sdtasdt0(_71017, sz00) = sz00)], (222 ^ _63994) ^ [] : [-(sz00 = sdtasdt0(sz00, _71017))]]], (224 ^ _63994) ^ [_71290] : [aInteger0(_71290), 227 ^ _63994 : [(228 ^ _63994) ^ [] : [-(sdtasdt0(smndt0(sz10), _71290) = smndt0(_71290))], (230 ^ _63994) ^ [] : [-(smndt0(_71290) = sdtasdt0(_71290, smndt0(sz10)))]]], (232 ^ _63994) ^ [_71585, _71587] : [aInteger0(_71587), aInteger0(_71585), sdtasdt0(_71587, _71585) = sz00, -(_71587 = sz00), -(_71585 = sz00)], (250 ^ _63994) ^ [_72053] : [aInteger0(_72053), 253 ^ _63994 : [(254 ^ _63994) ^ [_72239] : [aDivisorOf0(_72239, _72053), 257 ^ _63994 : [(258 ^ _63994) ^ [] : [-(aInteger0(_72239))], (260 ^ _63994) ^ [] : [_72239 = sz00], (263 ^ _63994) ^ [] : [-(aInteger0(261 ^ [_72053, _72239]))], (265 ^ _63994) ^ [] : [-(sdtasdt0(_72239, 261 ^ [_72053, _72239]) = _72053)]]], (267 ^ _63994) ^ [_72701] : [-(aDivisorOf0(_72701, _72053)), aInteger0(_72701), -(_72701 = sz00), 276 ^ _63994 : [(277 ^ _63994) ^ [_72968] : [aInteger0(_72968), sdtasdt0(_72701, _72968) = _72053]]]]], (285 ^ _63994) ^ [_73271, _73273, _73275] : [aInteger0(_73275), aInteger0(_73273), aInteger0(_73271), -(_73271 = sz00), 300 ^ _63994 : [(301 ^ _63994) ^ [] : [sdteqdtlpzmzozddtrp0(_73275, _73273, _73271), -(aDivisorOf0(_73271, sdtpldt0(_73275, smndt0(_73273))))], (307 ^ _63994) ^ [] : [aDivisorOf0(_73271, sdtpldt0(_73275, smndt0(_73273))), -(sdteqdtlpzmzozddtrp0(_73275, _73273, _73271))]]], (313 ^ _63994) ^ [_74047, _74049] : [-(sdteqdtlpzmzozddtrp0(_74049, _74049, _74047)), aInteger0(_74049), aInteger0(_74047), -(_74047 = sz00)], (327 ^ _63994) ^ [_74450, _74452, _74454] : [sdteqdtlpzmzozddtrp0(_74454, _74452, _74450), -(sdteqdtlpzmzozddtrp0(_74452, _74454, _74450)), aInteger0(_74454), aInteger0(_74452), aInteger0(_74450), -(_74450 = sz00)], (379 ^ _63994) ^ [] : [-(aInteger0(xa))], (381 ^ _63994) ^ [] : [-(aInteger0(xb))], (383 ^ _63994) ^ [] : [-(aInteger0(xp))], (385 ^ _63994) ^ [] : [xp = sz00], (387 ^ _63994) ^ [] : [-(aInteger0(xq))], (389 ^ _63994) ^ [] : [xq = sz00], (391 ^ _63994) ^ [] : [sdtasdt0(xp, xq) = sz00], (394 ^ _63994) ^ [] : [-(aInteger0(392 ^ []))], (396 ^ _63994) ^ [] : [-(sdtasdt0(sdtasdt0(xp, xq), 392 ^ []) = sdtpldt0(xa, smndt0(xb)))], (398 ^ _63994) ^ [] : [-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))))], (400 ^ _63994) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))], (402 ^ _63994) ^ [] : [-(aInteger0(xm))], (404 ^ _63994) ^ [] : [-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)))], (406 ^ _63994) ^ [] : [-(sdtasdt0(xp, sdtasdt0(xq, xm)) = sdtpldt0(xa, smndt0(xb)))], (408 ^ _63994) ^ [] : [-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm)))], (349 ^ _63994) ^ [_75069, _75071, _75073, _75075] : [-(sdteqdtlpzmzozddtrp0(_75075, _75069, _75071)), sdteqdtlpzmzozddtrp0(_75075, _75073, _75071), sdteqdtlpzmzozddtrp0(_75073, _75069, _75071), aInteger0(_75075), aInteger0(_75073), aInteger0(_75071), -(_75071 = sz00), aInteger0(_75069)]], input).
% 100.91/98.49  ncf('1',plain,[412 : aInteger0(sdtasdt0(xq, xm)), 412 : sdtasdt0(xp, sdtasdt0(xq, xm)) = sdtpldt0(xa, smndt0(xb)), 422 : aInteger0(sdtasdt0(xp, xm)), 422 : sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtpldt0(xa, smndt0(xb))],start(410 ^ 0,bind([[_76907, _77190], [sdtasdt0(xq, xm), sdtasdt0(xp, xm)]]))).
% 100.91/98.49  ncf('1.1',plain,[-(aInteger0(sdtasdt0(xq, xm))), aInteger0(xq), aInteger0(xm)],extension(118 ^ 3,bind([[_67876, _67878], [xm, xq]]))).
% 100.91/98.49  ncf('1.1.1',plain,[-(aInteger0(xq))],extension(387 ^ 4)).
% 100.91/98.49  ncf('1.1.2',plain,[-(aInteger0(xm))],extension(402 ^ 4)).
% 100.91/98.49  ncf('1.2',plain,[-(sdtasdt0(xp, sdtasdt0(xq, xm)) = sdtpldt0(xa, smndt0(xb)))],extension(406 ^ 3)).
% 100.91/98.49  ncf('1.3',plain,[-(aInteger0(sdtasdt0(xp, xm))), aInteger0(xp), aInteger0(xm)],extension(118 ^ 3,bind([[_67876, _67878], [xm, xp]]))).
% 100.91/98.49  ncf('1.3.1',plain,[-(aInteger0(xp))],extension(383 ^ 4)).
% 100.91/98.49  ncf('1.3.2',plain,[-(aInteger0(xm))],extension(402 ^ 4)).
% 100.91/98.49  ncf('1.4',plain,[-(sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtpldt0(xa, smndt0(xb))), sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))],extension(4 ^ 3,bind([[_64245, _64247], [sdtasdt0(xq, sdtasdt0(xp, xm)), sdtpldt0(xa, smndt0(xb))]]))).
% 100.91/98.49  ncf('1.4.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm)))],extension(408 ^ 4)).
% 100.91/98.49  %-----------------------------------------------------
% 100.91/98.49  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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