TSTP Solution File: NUM430+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM430+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 11:44:36 EDT 2023

% Result   : Theorem 1.07s 1.37s
% Output   : Proof 1.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM430+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 16:57:12 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.07/1.37  
% 1.07/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.07/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.37  %-----------------------------------------------------
% 1.07/1.37  ncf(matrix, plain, [(381 ^ _58082) ^ [_70149] : [aInteger0(_70149), sdtasdt0(xq, _70149) = sdtpldt0(xb, smndt0(xc))], (62 ^ _58082) ^ [_60216, _60218, _60220, _60222] : [-(sdtasdt0(_60222, _60218) = sdtasdt0(_60220, _60216)), _60222 = _60220, _60218 = _60216], (82 ^ _58082) ^ [_60886, _60888] : [_60888 = _60886, -(smndt0(_60888) = smndt0(_60886))], (72 ^ _58082) ^ [_60575, _60577, _60579, _60581] : [-(sdtpldt0(_60581, _60577) = sdtpldt0(_60579, _60575)), _60581 = _60579, _60577 = _60575], (2 ^ _58082) ^ [_58226] : [-(_58226 = _58226)], (4 ^ _58082) ^ [_58333, _58335] : [_58335 = _58333, -(_58333 = _58335)], (10 ^ _58082) ^ [_58537, _58539, _58541] : [-(_58541 = _58537), _58541 = _58539, _58539 = _58537], (20 ^ _58082) ^ [_58878, _58880, _58882, _58884] : [-(aDivisorOf0(_58882, _58878)), aDivisorOf0(_58884, _58880), _58884 = _58882, _58880 = _58878], (52 ^ _58082) ^ [_59883, _59885] : [-(aInteger0(_59883)), _59885 = _59883, aInteger0(_59885)], (34 ^ _58082) ^ [_59350, _59352, _59354, _59356, _59358, _59360] : [-(sdteqdtlpzmzozddtrp0(_59358, _59354, _59350)), sdteqdtlpzmzozddtrp0(_59360, _59356, _59352), _59360 = _59358, _59356 = _59354, _59352 = _59350], (88 ^ _58082) ^ [_61100] : [aInteger0(_61100), true___, -(true___)], (98 ^ _58082) ^ [] : [-(aInteger0(sz00))], (100 ^ _58082) ^ [] : [-(aInteger0(sz10))], (102 ^ _58082) ^ [_61461] : [aInteger0(_61461), -(aInteger0(smndt0(_61461)))], (108 ^ _58082) ^ [_61665, _61667] : [-(aInteger0(sdtpldt0(_61667, _61665))), aInteger0(_61667), aInteger0(_61665)], (118 ^ _58082) ^ [_61964, _61966] : [-(aInteger0(sdtasdt0(_61966, _61964))), aInteger0(_61966), aInteger0(_61964)], (128 ^ _58082) ^ [_62277, _62279, _62281] : [-(sdtpldt0(_62281, sdtpldt0(_62279, _62277)) = sdtpldt0(sdtpldt0(_62281, _62279), _62277)), aInteger0(_62281), aInteger0(_62279), aInteger0(_62277)], (142 ^ _58082) ^ [_62697, _62699] : [-(sdtpldt0(_62699, _62697) = sdtpldt0(_62697, _62699)), aInteger0(_62699), aInteger0(_62697)], (152 ^ _58082) ^ [_62990] : [aInteger0(_62990), 155 ^ _58082 : [(156 ^ _58082) ^ [] : [-(sdtpldt0(_62990, sz00) = _62990)], (158 ^ _58082) ^ [] : [-(_62990 = sdtpldt0(sz00, _62990))]]], (160 ^ _58082) ^ [_63263] : [aInteger0(_63263), 163 ^ _58082 : [(164 ^ _58082) ^ [] : [-(sdtpldt0(_63263, smndt0(_63263)) = sz00)], (166 ^ _58082) ^ [] : [-(sz00 = sdtpldt0(smndt0(_63263), _63263))]]], (168 ^ _58082) ^ [_63572, _63574, _63576] : [-(sdtasdt0(_63576, sdtasdt0(_63574, _63572)) = sdtasdt0(sdtasdt0(_63576, _63574), _63572)), aInteger0(_63576), aInteger0(_63574), aInteger0(_63572)], (182 ^ _58082) ^ [_63992, _63994] : [-(sdtasdt0(_63994, _63992) = sdtasdt0(_63992, _63994)), aInteger0(_63994), aInteger0(_63992)], (192 ^ _58082) ^ [_64285] : [aInteger0(_64285), 195 ^ _58082 : [(196 ^ _58082) ^ [] : [-(sdtasdt0(_64285, sz10) = _64285)], (198 ^ _58082) ^ [] : [-(_64285 = sdtasdt0(sz10, _64285))]]], (200 ^ _58082) ^ [_64586, _64588, _64590] : [211 ^ _58082 : [(212 ^ _58082) ^ [] : [-(sdtasdt0(_64590, sdtpldt0(_64588, _64586)) = sdtpldt0(sdtasdt0(_64590, _64588), sdtasdt0(_64590, _64586)))], (214 ^ _58082) ^ [] : [-(sdtasdt0(sdtpldt0(_64590, _64588), _64586) = sdtpldt0(sdtasdt0(_64590, _64586), sdtasdt0(_64588, _64586)))]], aInteger0(_64590), aInteger0(_64588), aInteger0(_64586)], (216 ^ _58082) ^ [_65105] : [aInteger0(_65105), 219 ^ _58082 : [(220 ^ _58082) ^ [] : [-(sdtasdt0(_65105, sz00) = sz00)], (222 ^ _58082) ^ [] : [-(sz00 = sdtasdt0(sz00, _65105))]]], (224 ^ _58082) ^ [_65378] : [aInteger0(_65378), 227 ^ _58082 : [(228 ^ _58082) ^ [] : [-(sdtasdt0(smndt0(sz10), _65378) = smndt0(_65378))], (230 ^ _58082) ^ [] : [-(smndt0(_65378) = sdtasdt0(_65378, smndt0(sz10)))]]], (232 ^ _58082) ^ [_65673, _65675] : [aInteger0(_65675), aInteger0(_65673), sdtasdt0(_65675, _65673) = sz00, -(_65675 = sz00), -(_65673 = sz00)], (250 ^ _58082) ^ [_66141] : [aInteger0(_66141), 253 ^ _58082 : [(254 ^ _58082) ^ [_66327] : [aDivisorOf0(_66327, _66141), 257 ^ _58082 : [(258 ^ _58082) ^ [] : [-(aInteger0(_66327))], (260 ^ _58082) ^ [] : [_66327 = sz00], (263 ^ _58082) ^ [] : [-(aInteger0(261 ^ [_66141, _66327]))], (265 ^ _58082) ^ [] : [-(sdtasdt0(_66327, 261 ^ [_66141, _66327]) = _66141)]]], (267 ^ _58082) ^ [_66789] : [-(aDivisorOf0(_66789, _66141)), aInteger0(_66789), -(_66789 = sz00), 276 ^ _58082 : [(277 ^ _58082) ^ [_67056] : [aInteger0(_67056), sdtasdt0(_66789, _67056) = _66141]]]]], (285 ^ _58082) ^ [_67359, _67361, _67363] : [aInteger0(_67363), aInteger0(_67361), aInteger0(_67359), -(_67359 = sz00), 300 ^ _58082 : [(301 ^ _58082) ^ [] : [sdteqdtlpzmzozddtrp0(_67363, _67361, _67359), -(aDivisorOf0(_67359, sdtpldt0(_67363, smndt0(_67361))))], (307 ^ _58082) ^ [] : [aDivisorOf0(_67359, sdtpldt0(_67363, smndt0(_67361))), -(sdteqdtlpzmzozddtrp0(_67363, _67361, _67359))]]], (313 ^ _58082) ^ [_68135, _68137] : [-(sdteqdtlpzmzozddtrp0(_68137, _68137, _68135)), aInteger0(_68137), aInteger0(_68135), -(_68135 = sz00)], (349 ^ _58082) ^ [] : [-(aInteger0(xa))], (351 ^ _58082) ^ [] : [-(aInteger0(xb))], (353 ^ _58082) ^ [] : [-(aInteger0(xq))], (355 ^ _58082) ^ [] : [xq = sz00], (357 ^ _58082) ^ [] : [-(aInteger0(xc))], (360 ^ _58082) ^ [] : [-(aInteger0(358 ^ []))], (362 ^ _58082) ^ [] : [-(sdtasdt0(xq, 358 ^ []) = sdtpldt0(xa, smndt0(xb)))], (364 ^ _58082) ^ [] : [-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))], (366 ^ _58082) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, xq))], (369 ^ _58082) ^ [] : [-(aInteger0(367 ^ []))], (371 ^ _58082) ^ [] : [-(sdtasdt0(xq, 367 ^ []) = sdtpldt0(xb, smndt0(xc)))], (373 ^ _58082) ^ [] : [-(aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc))))], (375 ^ _58082) ^ [] : [-(sdteqdtlpzmzozddtrp0(xb, xc, xq))], (377 ^ _58082) ^ [] : [-(aInteger0(xn))], (379 ^ _58082) ^ [] : [-(sdtasdt0(xq, xn) = sdtpldt0(xa, smndt0(xb)))], (327 ^ _58082) ^ [_68538, _68540, _68542] : [sdteqdtlpzmzozddtrp0(_68542, _68540, _68538), -(sdteqdtlpzmzozddtrp0(_68540, _68542, _68538)), aInteger0(_68542), aInteger0(_68540), aInteger0(_68538), -(_68538 = sz00)]], input).
% 1.07/1.37  ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(sz00, sz00), 260 : sz00 = sz00],start(250 ^ 0,bind([[_66141, _66327], [sz00, sz00]]))).
% 1.07/1.37  ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 1.07/1.37  ncf('1.2',plain,[-(aDivisorOf0(sz00, sz00)), aInteger0(sz00), -(sz00 = sz00), 277 : aInteger0(sz00), 277 : sdtasdt0(sz00, sz00) = sz00],extension(267 ^ 3,bind([[_66789, _67056], [sz00, sz00]]))).
% 1.07/1.37  ncf('1.2.1',plain,[-(aInteger0(sz00))],extension(98 ^ 4)).
% 1.07/1.37  ncf('1.2.2',plain,[sz00 = sz00, -(aInteger0(sz00)), aInteger0(sz00)],extension(52 ^ 4,bind([[_59883, _59885], [sz00, sz00]]))).
% 1.07/1.37  ncf('1.2.2.1',plain,[aInteger0(sz00), -(aInteger0(sdtpldt0(367 ^ [], sz00))), aInteger0(367 ^ [])],extension(108 ^ 5,bind([[_61665, _61667], [sz00, 367 ^ []]]))).
% 1.07/1.37  ncf('1.2.2.1.1',plain,[aInteger0(sdtpldt0(367 ^ [], sz00)), -(aInteger0(367 ^ [])), sdtpldt0(367 ^ [], sz00) = 367 ^ []],extension(52 ^ 6,bind([[_59883, _59885], [367 ^ [], sdtpldt0(367 ^ [], sz00)]]))).
% 1.07/1.37  ncf('1.2.2.1.1.1',plain,[aInteger0(367 ^ []), sdtasdt0(xq, 367 ^ []) = sdtpldt0(xb, smndt0(xc))],extension(381 ^ 7,bind([[_70149], [367 ^ []]]))).
% 1.07/1.37  ncf('1.2.2.1.1.1.1',plain,[-(sdtasdt0(xq, 367 ^ []) = sdtpldt0(xb, smndt0(xc)))],extension(371 ^ 8)).
% 1.07/1.37  ncf('1.2.2.1.1.2',plain,[-(sdtpldt0(367 ^ [], sz00) = 367 ^ []), aInteger0(367 ^ [])],extension(152 ^ 7,bind([[_62990], [367 ^ []]]))).
% 1.07/1.37  ncf('1.2.2.1.1.2.1',plain,[-(aInteger0(367 ^ []))],extension(369 ^ 8)).
% 1.07/1.37  ncf('1.2.2.1.2',plain,[-(aInteger0(367 ^ []))],extension(369 ^ 6)).
% 1.07/1.37  ncf('1.2.2.2',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.07/1.37  ncf('1.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 1.07/1.37  ncf('1.2.4',plain,[-(sdtasdt0(sz00, sz00) = sz00), sz00 = sdtasdt0(sz00, sz00)],extension(4 ^ 6,bind([[_58333, _58335], [sdtasdt0(sz00, sz00), sz00]]))).
% 1.07/1.37  ncf('1.2.4.1',plain,[-(sz00 = sdtasdt0(sz00, sz00)), aInteger0(sz00)],extension(216 ^ 7,bind([[_65105], [sz00]]))).
% 1.07/1.37  ncf('1.2.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.07/1.37  ncf('1.3',plain,[-(sz00 = sz00)],extension(2 ^ 5,bind([[_58226], [sz00]]))).
% 1.07/1.37  %-----------------------------------------------------
% 1.07/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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