TSTP Solution File: NUM429+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM429+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 1.39s
% Output   : Proof 1.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUM429+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 16:36:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 1.07/1.39  
% 1.07/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.07/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.39  %-----------------------------------------------------
% 1.07/1.39  ncf(matrix, plain, [(377 ^ _57251) ^ [_69190] : [aInteger0(_69190), sdtasdt0(xq, _69190) = sdtpldt0(xa, smndt0(xb))], (62 ^ _57251) ^ [_59385, _59387, _59389, _59391] : [-(sdtasdt0(_59391, _59387) = sdtasdt0(_59389, _59385)), _59391 = _59389, _59387 = _59385], (82 ^ _57251) ^ [_60055, _60057] : [_60057 = _60055, -(smndt0(_60057) = smndt0(_60055))], (72 ^ _57251) ^ [_59744, _59746, _59748, _59750] : [-(sdtpldt0(_59750, _59746) = sdtpldt0(_59748, _59744)), _59750 = _59748, _59746 = _59744], (2 ^ _57251) ^ [_57395] : [-(_57395 = _57395)], (4 ^ _57251) ^ [_57502, _57504] : [_57504 = _57502, -(_57502 = _57504)], (10 ^ _57251) ^ [_57706, _57708, _57710] : [-(_57710 = _57706), _57710 = _57708, _57708 = _57706], (20 ^ _57251) ^ [_58047, _58049, _58051, _58053] : [-(aDivisorOf0(_58051, _58047)), aDivisorOf0(_58053, _58049), _58053 = _58051, _58049 = _58047], (52 ^ _57251) ^ [_59052, _59054] : [-(aInteger0(_59052)), _59054 = _59052, aInteger0(_59054)], (34 ^ _57251) ^ [_58519, _58521, _58523, _58525, _58527, _58529] : [-(sdteqdtlpzmzozddtrp0(_58527, _58523, _58519)), sdteqdtlpzmzozddtrp0(_58529, _58525, _58521), _58529 = _58527, _58525 = _58523, _58521 = _58519], (88 ^ _57251) ^ [_60269] : [aInteger0(_60269), true___, -(true___)], (98 ^ _57251) ^ [] : [-(aInteger0(sz00))], (100 ^ _57251) ^ [] : [-(aInteger0(sz10))], (102 ^ _57251) ^ [_60630] : [aInteger0(_60630), -(aInteger0(smndt0(_60630)))], (108 ^ _57251) ^ [_60834, _60836] : [-(aInteger0(sdtpldt0(_60836, _60834))), aInteger0(_60836), aInteger0(_60834)], (118 ^ _57251) ^ [_61133, _61135] : [-(aInteger0(sdtasdt0(_61135, _61133))), aInteger0(_61135), aInteger0(_61133)], (128 ^ _57251) ^ [_61446, _61448, _61450] : [-(sdtpldt0(_61450, sdtpldt0(_61448, _61446)) = sdtpldt0(sdtpldt0(_61450, _61448), _61446)), aInteger0(_61450), aInteger0(_61448), aInteger0(_61446)], (142 ^ _57251) ^ [_61866, _61868] : [-(sdtpldt0(_61868, _61866) = sdtpldt0(_61866, _61868)), aInteger0(_61868), aInteger0(_61866)], (152 ^ _57251) ^ [_62159] : [aInteger0(_62159), 155 ^ _57251 : [(156 ^ _57251) ^ [] : [-(sdtpldt0(_62159, sz00) = _62159)], (158 ^ _57251) ^ [] : [-(_62159 = sdtpldt0(sz00, _62159))]]], (160 ^ _57251) ^ [_62432] : [aInteger0(_62432), 163 ^ _57251 : [(164 ^ _57251) ^ [] : [-(sdtpldt0(_62432, smndt0(_62432)) = sz00)], (166 ^ _57251) ^ [] : [-(sz00 = sdtpldt0(smndt0(_62432), _62432))]]], (168 ^ _57251) ^ [_62741, _62743, _62745] : [-(sdtasdt0(_62745, sdtasdt0(_62743, _62741)) = sdtasdt0(sdtasdt0(_62745, _62743), _62741)), aInteger0(_62745), aInteger0(_62743), aInteger0(_62741)], (182 ^ _57251) ^ [_63161, _63163] : [-(sdtasdt0(_63163, _63161) = sdtasdt0(_63161, _63163)), aInteger0(_63163), aInteger0(_63161)], (192 ^ _57251) ^ [_63454] : [aInteger0(_63454), 195 ^ _57251 : [(196 ^ _57251) ^ [] : [-(sdtasdt0(_63454, sz10) = _63454)], (198 ^ _57251) ^ [] : [-(_63454 = sdtasdt0(sz10, _63454))]]], (200 ^ _57251) ^ [_63755, _63757, _63759] : [211 ^ _57251 : [(212 ^ _57251) ^ [] : [-(sdtasdt0(_63759, sdtpldt0(_63757, _63755)) = sdtpldt0(sdtasdt0(_63759, _63757), sdtasdt0(_63759, _63755)))], (214 ^ _57251) ^ [] : [-(sdtasdt0(sdtpldt0(_63759, _63757), _63755) = sdtpldt0(sdtasdt0(_63759, _63755), sdtasdt0(_63757, _63755)))]], aInteger0(_63759), aInteger0(_63757), aInteger0(_63755)], (216 ^ _57251) ^ [_64274] : [aInteger0(_64274), 219 ^ _57251 : [(220 ^ _57251) ^ [] : [-(sdtasdt0(_64274, sz00) = sz00)], (222 ^ _57251) ^ [] : [-(sz00 = sdtasdt0(sz00, _64274))]]], (224 ^ _57251) ^ [_64547] : [aInteger0(_64547), 227 ^ _57251 : [(228 ^ _57251) ^ [] : [-(sdtasdt0(smndt0(sz10), _64547) = smndt0(_64547))], (230 ^ _57251) ^ [] : [-(smndt0(_64547) = sdtasdt0(_64547, smndt0(sz10)))]]], (232 ^ _57251) ^ [_64842, _64844] : [aInteger0(_64844), aInteger0(_64842), sdtasdt0(_64844, _64842) = sz00, -(_64844 = sz00), -(_64842 = sz00)], (250 ^ _57251) ^ [_65310] : [aInteger0(_65310), 253 ^ _57251 : [(254 ^ _57251) ^ [_65496] : [aDivisorOf0(_65496, _65310), 257 ^ _57251 : [(258 ^ _57251) ^ [] : [-(aInteger0(_65496))], (260 ^ _57251) ^ [] : [_65496 = sz00], (263 ^ _57251) ^ [] : [-(aInteger0(261 ^ [_65310, _65496]))], (265 ^ _57251) ^ [] : [-(sdtasdt0(_65496, 261 ^ [_65310, _65496]) = _65310)]]], (267 ^ _57251) ^ [_65958] : [-(aDivisorOf0(_65958, _65310)), aInteger0(_65958), -(_65958 = sz00), 276 ^ _57251 : [(277 ^ _57251) ^ [_66225] : [aInteger0(_66225), sdtasdt0(_65958, _66225) = _65310]]]]], (285 ^ _57251) ^ [_66528, _66530, _66532] : [aInteger0(_66532), aInteger0(_66530), aInteger0(_66528), -(_66528 = sz00), 300 ^ _57251 : [(301 ^ _57251) ^ [] : [sdteqdtlpzmzozddtrp0(_66532, _66530, _66528), -(aDivisorOf0(_66528, sdtpldt0(_66532, smndt0(_66530))))], (307 ^ _57251) ^ [] : [aDivisorOf0(_66528, sdtpldt0(_66532, smndt0(_66530))), -(sdteqdtlpzmzozddtrp0(_66532, _66530, _66528))]]], (313 ^ _57251) ^ [_67304, _67306] : [-(sdteqdtlpzmzozddtrp0(_67306, _67306, _67304)), aInteger0(_67306), aInteger0(_67304), -(_67304 = sz00)], (349 ^ _57251) ^ [] : [-(aInteger0(xa))], (351 ^ _57251) ^ [] : [-(aInteger0(xb))], (353 ^ _57251) ^ [] : [-(aInteger0(xq))], (355 ^ _57251) ^ [] : [xq = sz00], (357 ^ _57251) ^ [] : [-(aInteger0(xc))], (360 ^ _57251) ^ [] : [-(aInteger0(358 ^ []))], (362 ^ _57251) ^ [] : [-(sdtasdt0(xq, 358 ^ []) = sdtpldt0(xa, smndt0(xb)))], (364 ^ _57251) ^ [] : [-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))], (366 ^ _57251) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, xq))], (369 ^ _57251) ^ [] : [-(aInteger0(367 ^ []))], (371 ^ _57251) ^ [] : [-(sdtasdt0(xq, 367 ^ []) = sdtpldt0(xb, smndt0(xc)))], (373 ^ _57251) ^ [] : [-(aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc))))], (375 ^ _57251) ^ [] : [-(sdteqdtlpzmzozddtrp0(xb, xc, xq))], (327 ^ _57251) ^ [_67707, _67709, _67711] : [sdteqdtlpzmzozddtrp0(_67711, _67709, _67707), -(sdteqdtlpzmzozddtrp0(_67709, _67711, _67707)), aInteger0(_67711), aInteger0(_67709), aInteger0(_67707), -(_67707 = sz00)]], input).
% 1.07/1.39  ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(sz00, sz00), 260 : sz00 = sz00],start(250 ^ 0,bind([[_65310, _65496], [sz00, sz00]]))).
% 1.07/1.39  ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 1.07/1.39  ncf('1.2',plain,[-(aDivisorOf0(sz00, sz00)), aInteger0(sz00), -(sz00 = sz00), 277 : aInteger0(sz00), 277 : sdtasdt0(sz00, sz00) = sz00],extension(267 ^ 3,bind([[_65958, _66225], [sz00, sz00]]))).
% 1.07/1.39  ncf('1.2.1',plain,[-(aInteger0(sz00))],extension(98 ^ 4)).
% 1.07/1.39  ncf('1.2.2',plain,[sz00 = sz00, -(aInteger0(sz00)), aInteger0(sz00)],extension(52 ^ 4,bind([[_59052, _59054], [sz00, sz00]]))).
% 1.07/1.39  ncf('1.2.2.1',plain,[aInteger0(sz00), -(aInteger0(sdtpldt0(358 ^ [], sz00))), aInteger0(358 ^ [])],extension(108 ^ 5,bind([[_60834, _60836], [sz00, 358 ^ []]]))).
% 1.07/1.39  ncf('1.2.2.1.1',plain,[aInteger0(sdtpldt0(358 ^ [], sz00)), -(aInteger0(358 ^ [])), sdtpldt0(358 ^ [], sz00) = 358 ^ []],extension(52 ^ 6,bind([[_59052, _59054], [358 ^ [], sdtpldt0(358 ^ [], sz00)]]))).
% 1.07/1.39  ncf('1.2.2.1.1.1',plain,[aInteger0(358 ^ []), sdtasdt0(xq, 358 ^ []) = sdtpldt0(xa, smndt0(xb))],extension(377 ^ 7,bind([[_69190], [358 ^ []]]))).
% 1.07/1.39  ncf('1.2.2.1.1.1.1',plain,[-(sdtasdt0(xq, 358 ^ []) = sdtpldt0(xa, smndt0(xb)))],extension(362 ^ 8)).
% 1.07/1.39  ncf('1.2.2.1.1.2',plain,[-(sdtpldt0(358 ^ [], sz00) = 358 ^ []), aInteger0(358 ^ [])],extension(152 ^ 7,bind([[_62159], [358 ^ []]]))).
% 1.07/1.39  ncf('1.2.2.1.1.2.1',plain,[-(aInteger0(358 ^ []))],extension(360 ^ 8)).
% 1.07/1.39  ncf('1.2.2.1.2',plain,[-(aInteger0(358 ^ []))],extension(360 ^ 6)).
% 1.07/1.39  ncf('1.2.2.2',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.07/1.39  ncf('1.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 1.07/1.39  ncf('1.2.4',plain,[-(sdtasdt0(sz00, sz00) = sz00), sz00 = sdtasdt0(sz00, sz00)],extension(4 ^ 6,bind([[_57502, _57504], [sdtasdt0(sz00, sz00), sz00]]))).
% 1.07/1.39  ncf('1.2.4.1',plain,[-(sz00 = sdtasdt0(sz00, sz00)), aInteger0(sz00)],extension(216 ^ 7,bind([[_64274], [sz00]]))).
% 1.07/1.39  ncf('1.2.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.07/1.39  ncf('1.3',plain,[-(sz00 = sz00)],extension(2 ^ 5,bind([[_57395], [sz00]]))).
% 1.07/1.39  %-----------------------------------------------------
% 1.07/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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