TSTP Solution File: NUM435+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM435+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:44:37 EDT 2023

% Result   : Theorem 73.74s 74.71s
% Output   : Proof 73.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM435+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.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 17:26:40 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 73.74/74.71  
% 73.74/74.71  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 73.74/74.71  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.74/74.71  %-----------------------------------------------------
% 73.74/74.71  ncf(matrix, plain, [(406 ^ _76590) ^ [] : [sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))], !, (327 ^ _63922) ^ [_74358, _74360, _74362] : [sdteqdtlpzmzozddtrp0(_74362, _74360, _74358), -(sdteqdtlpzmzozddtrp0(_74360, _74362, _74358)), aInteger0(_74362), aInteger0(_74360), aInteger0(_74358), -(_74358 = sz00)], (100 ^ _63922) ^ [] : [-(aInteger0(sz10))], (379 ^ _63922) ^ [] : [-(aInteger0(xa))], (285 ^ _63922) ^ [_73179, _73181, _73183] : [aInteger0(_73183), aInteger0(_73181), aInteger0(_73179), -(_73179 = sz00), 300 ^ _63922 : [(301 ^ _63922) ^ [] : [sdteqdtlpzmzozddtrp0(_73183, _73181, _73179), -(aDivisorOf0(_73179, sdtpldt0(_73183, smndt0(_73181))))], (307 ^ _63922) ^ [] : [aDivisorOf0(_73179, sdtpldt0(_73183, smndt0(_73181))), -(sdteqdtlpzmzozddtrp0(_73183, _73181, _73179))]]], (381 ^ _63922) ^ [] : [-(aInteger0(xb))], (200 ^ _63922) ^ [_70406, _70408, _70410] : [211 ^ _63922 : [(212 ^ _63922) ^ [] : [-(sdtasdt0(_70410, sdtpldt0(_70408, _70406)) = sdtpldt0(sdtasdt0(_70410, _70408), sdtasdt0(_70410, _70406)))], (214 ^ _63922) ^ [] : [-(sdtasdt0(sdtpldt0(_70410, _70408), _70406) = sdtpldt0(sdtasdt0(_70410, _70406), sdtasdt0(_70408, _70406)))]], aInteger0(_70410), aInteger0(_70408), aInteger0(_70406)], (118 ^ _63922) ^ [_67784, _67786] : [-(aInteger0(sdtasdt0(_67786, _67784))), aInteger0(_67786), aInteger0(_67784)], (391 ^ _63922) ^ [] : [sdtasdt0(xp, xq) = sz00], (383 ^ _63922) ^ [] : [-(aInteger0(xp))], (20 ^ _63922) ^ [_64698, _64700, _64702, _64704] : [-(aDivisorOf0(_64702, _64698)), aDivisorOf0(_64704, _64700), _64704 = _64702, _64700 = _64698], (168 ^ _63922) ^ [_69392, _69394, _69396] : [-(sdtasdt0(_69396, sdtasdt0(_69394, _69392)) = sdtasdt0(sdtasdt0(_69396, _69394), _69392)), aInteger0(_69396), aInteger0(_69394), aInteger0(_69392)], (78 ^ _63922) ^ [_66593, _66595, _66597, _66599] : [-(sdtasdt0(_66599, _66595) = sdtasdt0(_66597, _66593)), _66599 = _66597, _66595 = _66593], (313 ^ _63922) ^ [_73955, _73957] : [-(sdteqdtlpzmzozddtrp0(_73957, _73957, _73955)), aInteger0(_73957), aInteger0(_73955), -(_73955 = sz00)], (4 ^ _63922) ^ [_64153, _64155] : [_64155 = _64153, -(_64153 = _64155)], (232 ^ _63922) ^ [_71493, _71495] : [aInteger0(_71495), aInteger0(_71493), sdtasdt0(_71495, _71493) = sz00, -(_71495 = sz00), -(_71493 = sz00)], (216 ^ _63922) ^ [_70925] : [aInteger0(_70925), 219 ^ _63922 : [(220 ^ _63922) ^ [] : [-(sdtasdt0(_70925, sz00) = sz00)], (222 ^ _63922) ^ [] : [-(sz00 = sdtasdt0(sz00, _70925))]]], (160 ^ _63922) ^ [_69083] : [aInteger0(_69083), 163 ^ _63922 : [(164 ^ _63922) ^ [] : [-(sdtpldt0(_69083, smndt0(_69083)) = sz00)], (166 ^ _63922) ^ [] : [-(sz00 = sdtpldt0(smndt0(_69083), _69083))]]], (385 ^ _63922) ^ [] : [xp = sz00], (394 ^ _63922) ^ [] : [-(aInteger0(392 ^ []))], (192 ^ _63922) ^ [_70105] : [aInteger0(_70105), 195 ^ _63922 : [(196 ^ _63922) ^ [] : [-(sdtasdt0(_70105, sz10) = _70105)], (198 ^ _63922) ^ [] : [-(_70105 = sdtasdt0(sz10, _70105))]]], (404 ^ _63922) ^ [] : [-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)))], (396 ^ _63922) ^ [] : [-(sdtasdt0(sdtasdt0(xp, xq), 392 ^ []) = sdtpldt0(xa, smndt0(xb)))], (88 ^ _63922) ^ [_66920] : [aInteger0(_66920), true___, -(true___)], (402 ^ _63922) ^ [] : [-(aInteger0(xm))], (400 ^ _63922) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))], (102 ^ _63922) ^ [_67281] : [aInteger0(_67281), -(aInteger0(smndt0(_67281)))], (2 ^ _63922) ^ [_64046] : [-(_64046 = _64046)], (224 ^ _63922) ^ [_71198] : [aInteger0(_71198), 227 ^ _63922 : [(228 ^ _63922) ^ [] : [-(sdtasdt0(smndt0(sz10), _71198) = smndt0(_71198))], (230 ^ _63922) ^ [] : [-(smndt0(_71198) = sdtasdt0(_71198, smndt0(sz10)))]]], (52 ^ _63922) ^ [_65703, _65705] : [-(aInteger0(_65703)), _65705 = _65703, aInteger0(_65705)], (387 ^ _63922) ^ [] : [-(aInteger0(xq))], (34 ^ _63922) ^ [_65170, _65172, _65174, _65176, _65178, _65180] : [-(sdteqdtlpzmzozddtrp0(_65178, _65174, _65170)), sdteqdtlpzmzozddtrp0(_65180, _65176, _65172), _65180 = _65178, _65176 = _65174, _65172 = _65170], (398 ^ _63922) ^ [] : [-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))))], (389 ^ _63922) ^ [] : [xq = sz00], (152 ^ _63922) ^ [_68810] : [aInteger0(_68810), 155 ^ _63922 : [(156 ^ _63922) ^ [] : [-(sdtpldt0(_68810, sz00) = _68810)], (158 ^ _63922) ^ [] : [-(_68810 = sdtpldt0(sz00, _68810))]]], (142 ^ _63922) ^ [_68517, _68519] : [-(sdtpldt0(_68519, _68517) = sdtpldt0(_68517, _68519)), aInteger0(_68519), aInteger0(_68517)], (62 ^ _63922) ^ [_66036, _66038, _66040, _66042] : [-(sdtpldt0(_66042, _66038) = sdtpldt0(_66040, _66036)), _66042 = _66040, _66038 = _66036], (250 ^ _63922) ^ [_71961] : [aInteger0(_71961), 253 ^ _63922 : [(254 ^ _63922) ^ [_72147] : [aDivisorOf0(_72147, _71961), 257 ^ _63922 : [(258 ^ _63922) ^ [] : [-(aInteger0(_72147))], (265 ^ _63922) ^ [] : [-(sdtasdt0(_72147, 261 ^ [_71961, _72147]) = _71961)], (263 ^ _63922) ^ [] : [-(aInteger0(261 ^ [_71961, _72147]))], (260 ^ _63922) ^ [] : [_72147 = sz00]]], (267 ^ _63922) ^ [_72609] : [-(aDivisorOf0(_72609, _71961)), aInteger0(_72609), -(_72609 = sz00), 276 ^ _63922 : [(277 ^ _63922) ^ [_72876] : [aInteger0(_72876), sdtasdt0(_72609, _72876) = _71961]]]]], (349 ^ _63922) ^ [_74977, _74979, _74981, _74983] : [-(sdteqdtlpzmzozddtrp0(_74983, _74977, _74979)), sdteqdtlpzmzozddtrp0(_74983, _74981, _74979), sdteqdtlpzmzozddtrp0(_74981, _74977, _74979), aInteger0(_74983), aInteger0(_74981), aInteger0(_74979), -(_74979 = sz00), aInteger0(_74977)], (98 ^ _63922) ^ [] : [-(aInteger0(sz00))], (108 ^ _63922) ^ [_67485, _67487] : [-(aInteger0(sdtpldt0(_67487, _67485))), aInteger0(_67487), aInteger0(_67485)], (182 ^ _63922) ^ [_69812, _69814] : [-(sdtasdt0(_69814, _69812) = sdtasdt0(_69812, _69814)), aInteger0(_69814), aInteger0(_69812)], (10 ^ _63922) ^ [_64357, _64359, _64361] : [-(_64361 = _64357), _64361 = _64359, _64359 = _64357], (72 ^ _63922) ^ [_66367, _66369] : [_66369 = _66367, -(smndt0(_66369) = smndt0(_66367))], (128 ^ _63922) ^ [_68097, _68099, _68101] : [-(sdtpldt0(_68101, sdtpldt0(_68099, _68097)) = sdtpldt0(sdtpldt0(_68101, _68099), _68097)), aInteger0(_68101), aInteger0(_68099), aInteger0(_68097)]], input).
% 73.74/74.71  ncf('1',plain,[sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))],start(406 ^ 0)).
% 73.74/74.71  ncf('1.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))), sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtpldt0(xa, smndt0(xb))],extension(4 ^ 1,bind([[_64153, _64155], [sdtpldt0(xa, smndt0(xb)), sdtasdt0(xq, sdtasdt0(xp, xm))]]))).
% 73.74/74.71  ncf('1.1.1',plain,[-(sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtpldt0(xa, smndt0(xb))), sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtasdt0(sdtasdt0(xq, xp), xm), sdtasdt0(sdtasdt0(xq, xp), xm) = sdtpldt0(xa, smndt0(xb))],extension(10 ^ 2,bind([[_64357, _64359, _64361], [sdtpldt0(xa, smndt0(xb)), sdtasdt0(sdtasdt0(xq, xp), xm), sdtasdt0(xq, sdtasdt0(xp, xm))]]))).
% 73.74/74.71  ncf('1.1.1.1',plain,[-(sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtasdt0(sdtasdt0(xq, xp), xm)), aInteger0(xq), aInteger0(xp), aInteger0(xm)],extension(168 ^ 3,bind([[_69392, _69394, _69396], [xm, xp, xq]]))).
% 73.74/74.71  ncf('1.1.1.1.1',plain,[-(aInteger0(xq))],extension(387 ^ 4)).
% 73.74/74.71  ncf('1.1.1.1.2',plain,[-(aInteger0(xp))],extension(383 ^ 4)).
% 73.74/74.71  ncf('1.1.1.1.3',plain,[-(aInteger0(xm))],extension(402 ^ 4)).
% 73.74/74.71  ncf('1.1.1.2',plain,[-(sdtasdt0(sdtasdt0(xq, xp), xm) = sdtpldt0(xa, smndt0(xb))), sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xq, xp), xm)],extension(4 ^ 3,bind([[_64153, _64155], [sdtasdt0(sdtasdt0(xq, xp), xm), sdtpldt0(xa, smndt0(xb))]]))).
% 73.74/74.71  ncf('1.1.1.2.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xq, xp), xm)), sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xp, xq), xm), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(sdtasdt0(xq, xp), xm)],extension(10 ^ 4,bind([[_64357, _64359, _64361], [sdtasdt0(sdtasdt0(xq, xp), xm), sdtasdt0(sdtasdt0(xp, xq), xm), sdtpldt0(xa, smndt0(xb))]]))).
% 73.74/74.71  ncf('1.1.1.2.1.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xp, xq), xm)), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb))],extension(4 ^ 5,bind([[_64153, _64155], [sdtpldt0(xa, smndt0(xb)), sdtasdt0(sdtasdt0(xp, xq), xm)]]))).
% 73.74/74.71  ncf('1.1.1.2.1.1.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)))],extension(404 ^ 6)).
% 73.74/74.71  ncf('1.1.1.2.1.2',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(sdtasdt0(xq, xp), xm)), sdtasdt0(xp, xq) = sdtasdt0(xq, xp), xm = xm],extension(78 ^ 5,bind([[_66593, _66595, _66597, _66599], [xm, xm, sdtasdt0(xq, xp), sdtasdt0(xp, xq)]]))).
% 73.74/74.71  ncf('1.1.1.2.1.2.1',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xq, xp)), aInteger0(xp), aInteger0(xq)],extension(182 ^ 6,bind([[_69812, _69814], [xq, xp]]))).
% 73.74/74.71  ncf('1.1.1.2.1.2.1.1',plain,[-(aInteger0(xp))],extension(383 ^ 7)).
% 73.74/74.71  ncf('1.1.1.2.1.2.1.2',plain,[-(aInteger0(xq))],extension(387 ^ 7)).
% 73.74/74.71  ncf('1.1.1.2.1.2.2',plain,[-(xm = xm)],extension(2 ^ 6,bind([[_64046], [xm]]))).
% 73.74/74.71  %-----------------------------------------------------
% 73.74/74.71  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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