TSTP Solution File: NUM458+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM458+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 11:44:41 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM458+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 17:00:59 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(335 ^ _47908) ^ [] : [sdtlseqdt0(xm, xm)], (44 ^ _47908) ^ [_49431, _49433, _49435, _49437] : [-(sdtasdt0(_49437, _49433) = sdtasdt0(_49435, _49431)), _49437 = _49435, _49433 = _49431], (54 ^ _47908) ^ [_49790, _49792, _49794, _49796] : [-(sdtmndt0(_49796, _49792) = sdtmndt0(_49794, _49790)), _49796 = _49794, _49792 = _49790], (64 ^ _47908) ^ [_50129, _50131, _50133, _50135] : [-(sdtpldt0(_50135, _50131) = sdtpldt0(_50133, _50129)), _50135 = _50133, _50131 = _50129], (2 ^ _47908) ^ [_48052] : [-(_48052 = _48052)], (4 ^ _47908) ^ [_48159, _48161] : [_48161 = _48159, -(_48159 = _48161)], (10 ^ _47908) ^ [_48363, _48365, _48367] : [-(_48367 = _48363), _48367 = _48365, _48365 = _48363], (20 ^ _47908) ^ [_48676, _48678] : [-(aNaturalNumber0(_48676)), _48678 = _48676, aNaturalNumber0(_48678)], (30 ^ _47908) ^ [_48979, _48981, _48983, _48985] : [-(sdtlseqdt0(_48983, _48979)), sdtlseqdt0(_48985, _48981), _48985 = _48983, _48981 = _48979], (74 ^ _47908) ^ [_50456] : [aNaturalNumber0(_50456), true___, -(true___)], (84 ^ _47908) ^ [] : [-(aNaturalNumber0(sz00))], (86 ^ _47908) ^ [] : [-(aNaturalNumber0(sz10))], (88 ^ _47908) ^ [] : [sz10 = sz00], (90 ^ _47908) ^ [_50885, _50887] : [-(aNaturalNumber0(sdtpldt0(_50887, _50885))), aNaturalNumber0(_50887), aNaturalNumber0(_50885)], (100 ^ _47908) ^ [_51184, _51186] : [-(aNaturalNumber0(sdtasdt0(_51186, _51184))), aNaturalNumber0(_51186), aNaturalNumber0(_51184)], (110 ^ _47908) ^ [_51483, _51485] : [-(sdtpldt0(_51485, _51483) = sdtpldt0(_51483, _51485)), aNaturalNumber0(_51485), aNaturalNumber0(_51483)], (120 ^ _47908) ^ [_51804, _51806, _51808] : [-(sdtpldt0(sdtpldt0(_51808, _51806), _51804) = sdtpldt0(_51808, sdtpldt0(_51806, _51804))), aNaturalNumber0(_51808), aNaturalNumber0(_51806), aNaturalNumber0(_51804)], (134 ^ _47908) ^ [_52210] : [aNaturalNumber0(_52210), 137 ^ _47908 : [(138 ^ _47908) ^ [] : [-(sdtpldt0(_52210, sz00) = _52210)], (140 ^ _47908) ^ [] : [-(_52210 = sdtpldt0(sz00, _52210))]]], (142 ^ _47908) ^ [_52497, _52499] : [-(sdtasdt0(_52499, _52497) = sdtasdt0(_52497, _52499)), aNaturalNumber0(_52499), aNaturalNumber0(_52497)], (152 ^ _47908) ^ [_52818, _52820, _52822] : [-(sdtasdt0(sdtasdt0(_52822, _52820), _52818) = sdtasdt0(_52822, sdtasdt0(_52820, _52818))), aNaturalNumber0(_52822), aNaturalNumber0(_52820), aNaturalNumber0(_52818)], (166 ^ _47908) ^ [_53224] : [aNaturalNumber0(_53224), 169 ^ _47908 : [(170 ^ _47908) ^ [] : [-(sdtasdt0(_53224, sz10) = _53224)], (172 ^ _47908) ^ [] : [-(_53224 = sdtasdt0(sz10, _53224))]]], (174 ^ _47908) ^ [_53497] : [aNaturalNumber0(_53497), 177 ^ _47908 : [(178 ^ _47908) ^ [] : [-(sdtasdt0(_53497, sz00) = sz00)], (180 ^ _47908) ^ [] : [-(sz00 = sdtasdt0(sz00, _53497))]]], (182 ^ _47908) ^ [_53798, _53800, _53802] : [193 ^ _47908 : [(194 ^ _47908) ^ [] : [-(sdtasdt0(_53802, sdtpldt0(_53800, _53798)) = sdtpldt0(sdtasdt0(_53802, _53800), sdtasdt0(_53802, _53798)))], (196 ^ _47908) ^ [] : [-(sdtasdt0(sdtpldt0(_53800, _53798), _53802) = sdtpldt0(sdtasdt0(_53800, _53802), sdtasdt0(_53798, _53802)))]], aNaturalNumber0(_53802), aNaturalNumber0(_53800), aNaturalNumber0(_53798)], (198 ^ _47908) ^ [_54345, _54347, _54349] : [211 ^ _47908 : [(212 ^ _47908) ^ [] : [sdtpldt0(_54349, _54347) = sdtpldt0(_54349, _54345)], (214 ^ _47908) ^ [] : [sdtpldt0(_54347, _54349) = sdtpldt0(_54345, _54349)]], -(_54347 = _54345), aNaturalNumber0(_54349), aNaturalNumber0(_54347), aNaturalNumber0(_54345)], (218 ^ _47908) ^ [_54922] : [aNaturalNumber0(_54922), -(_54922 = sz00), 225 ^ _47908 : [(226 ^ _47908) ^ [_55184, _55186] : [aNaturalNumber0(_55186), aNaturalNumber0(_55184), 235 ^ _47908 : [(236 ^ _47908) ^ [] : [sdtasdt0(_54922, _55186) = sdtasdt0(_54922, _55184)], (238 ^ _47908) ^ [] : [sdtasdt0(_55186, _54922) = sdtasdt0(_55184, _54922)]], -(_55186 = _55184)]]], (242 ^ _47908) ^ [_55695, _55697] : [aNaturalNumber0(_55697), aNaturalNumber0(_55695), sdtpldt0(_55697, _55695) = sz00, 253 ^ _47908 : [(254 ^ _47908) ^ [] : [-(_55697 = sz00)], (256 ^ _47908) ^ [] : [-(_55695 = sz00)]]], (258 ^ _47908) ^ [_56162, _56164] : [aNaturalNumber0(_56164), aNaturalNumber0(_56162), sdtasdt0(_56164, _56162) = sz00, -(_56164 = sz00), -(_56162 = sz00)], (276 ^ _47908) ^ [_56644, _56646] : [aNaturalNumber0(_56646), aNaturalNumber0(_56644), 283 ^ _47908 : [(284 ^ _47908) ^ [] : [sdtlseqdt0(_56646, _56644), 288 ^ _47908 : [(289 ^ _47908) ^ [] : [-(aNaturalNumber0(287 ^ [_56644, _56646]))], (291 ^ _47908) ^ [] : [-(sdtpldt0(_56646, 287 ^ [_56644, _56646]) = _56644)]]], (293 ^ _47908) ^ [] : [-(sdtlseqdt0(_56646, _56644)), 294 ^ _47908 : [(295 ^ _47908) ^ [_57204] : [aNaturalNumber0(_57204), sdtpldt0(_56646, _57204) = _56644]]]]], (333 ^ _47908) ^ [] : [-(aNaturalNumber0(xm))], (303 ^ _47908) ^ [_57487, _57489] : [aNaturalNumber0(_57489), aNaturalNumber0(_57487), sdtlseqdt0(_57489, _57487), 314 ^ _47908 : [(315 ^ _47908) ^ [_57834] : [_57834 = sdtmndt0(_57487, _57489), 318 ^ _47908 : [(319 ^ _47908) ^ [] : [-(aNaturalNumber0(_57834))], (321 ^ _47908) ^ [] : [-(sdtpldt0(_57489, _57834) = _57487)]]], (323 ^ _47908) ^ [_58093] : [-(_58093 = sdtmndt0(_57487, _57489)), aNaturalNumber0(_58093), sdtpldt0(_57489, _58093) = _57487]]]], input).
% 0.33/1.38  ncf('1',plain,[sdtlseqdt0(xm, xm)],start(335 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(sdtlseqdt0(xm, xm)), 295 : aNaturalNumber0(sz00), 295 : sdtpldt0(xm, sz00) = xm, 293 : aNaturalNumber0(xm), 293 : aNaturalNumber0(xm)],extension(276 ^ 1,bind([[_56644, _56646, _57204], [xm, xm, sz00]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(aNaturalNumber0(sz00))],extension(84 ^ 6)).
% 0.33/1.38  ncf('1.1.2',plain,[-(sdtpldt0(xm, sz00) = xm), aNaturalNumber0(xm)],extension(134 ^ 6,bind([[_52210], [xm]]))).
% 0.33/1.38  ncf('1.1.2.1',plain,[-(aNaturalNumber0(xm))],extension(333 ^ 7)).
% 0.33/1.38  ncf('1.1.3',plain,[-(aNaturalNumber0(xm))],extension(333 ^ 2)).
% 0.33/1.38  ncf('1.1.4',plain,[-(aNaturalNumber0(xm))],lemmata('[1].x')).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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