TSTP Solution File: RNG045+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:49:40 EDT 2023

% Result   : Theorem 43.51s 42.89s
% Output   : Proof 43.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 20:11:27 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 43.51/42.89  
% 43.51/42.89  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.51/42.89  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.51/42.89  %-----------------------------------------------------
% 43.51/42.89  ncf(matrix, plain, [(261 ^ _53191) ^ [] : [sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))], !, (44 ^ _44886) ^ [_46353, _46355] : [-(aScalar0(_46353)), _46355 = _46353, aScalar0(_46355)], (195 ^ _44886) ^ [_50924] : [aScalar0(_50924), 198 ^ _44886 : [(203 ^ _44886) ^ [] : [-(sdtasdt0(_50924, sz0z00) = sz0z00)], (209 ^ _44886) ^ [] : [-(sdtpldt0(smndt0(_50924), _50924) = sz0z00)], (199 ^ _44886) ^ [] : [-(sdtpldt0(_50924, sz0z00) = _50924)], (211 ^ _44886) ^ [] : [-(smndt0(smndt0(_50924)) = _50924)], (205 ^ _44886) ^ [] : [-(sdtasdt0(sz0z00, _50924) = sz0z00)], (207 ^ _44886) ^ [] : [-(sdtpldt0(_50924, smndt0(_50924)) = sz0z00)], (213 ^ _44886) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (201 ^ _44886) ^ [] : [-(sdtpldt0(sz0z00, _50924) = _50924)]]], (253 ^ _44886) ^ [] : [-(aScalar0(xy))], (259 ^ _44886) ^ [] : [-(sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))))], (251 ^ _44886) ^ [] : [-(aScalar0(xx))], (96 ^ _44886) ^ [] : [-(aNaturalNumber0(sz00))], (235 ^ _44886) ^ [_52402, _52404, _52406] : [246 ^ _44886 : [(249 ^ _44886) ^ [] : [-(sdtasdt0(sdtpldt0(_52406, _52404), _52402) = sdtpldt0(sdtasdt0(_52406, _52402), sdtasdt0(_52404, _52402)))], (247 ^ _44886) ^ [] : [-(sdtasdt0(_52406, sdtpldt0(_52404, _52402)) = sdtpldt0(sdtasdt0(_52406, _52404), sdtasdt0(_52406, _52402)))]], aScalar0(_52406), aScalar0(_52404), aScalar0(_52402)], (106 ^ _44886) ^ [_48368] : [114 ^ _44886 : [(117 ^ _44886) ^ [] : [-(_48368 = szszuzczcdt0(113 ^ [_48368]))], (115 ^ _44886) ^ [] : [-(aNaturalNumber0(113 ^ [_48368]))]], aNaturalNumber0(_48368), -(_48368 = sz00)], (86 ^ _44886) ^ [_47792] : [aNaturalNumber0(_47792), true___, -(true___)], (257 ^ _44886) ^ [] : [-(aScalar0(xv))], (151 ^ _44886) ^ [_49636] : [aNaturalNumber0(_49636), -(iLess0(_49636, szszuzczcdt0(_49636)))], (10 ^ _44886) ^ [_45321, _45323, _45325] : [-(_45325 = _45321), _45325 = _45323, _45323 = _45321], (167 ^ _44886) ^ [] : [-(aScalar0(sz0z00))], (30 ^ _44886) ^ [_45957, _45959, _45961, _45963] : [-(iLess0(_45961, _45957)), iLess0(_45963, _45959), _45963 = _45961, _45959 = _45957], (157 ^ _44886) ^ [_49828] : [aScalar0(_49828), true___, -(true___)], (119 ^ _44886) ^ [_48796, _48798] : [aNaturalNumber0(_48798), aNaturalNumber0(_48796), szszuzczcdt0(_48798) = szszuzczcdt0(_48796), -(_48798 = _48796)], (4 ^ _44886) ^ [_45117, _45119] : [_45119 = _45117, -(_45117 = _45119)], (54 ^ _44886) ^ [_46658, _46660] : [_46660 = _46658, -(szszuzczcdt0(_46660) = szszuzczcdt0(_46658))], (179 ^ _44886) ^ [_50449, _50451] : [-(aScalar0(sdtasdt0(_50451, _50449))), aScalar0(_50451), aScalar0(_50449)], (2 ^ _44886) ^ [_45010] : [-(_45010 = _45010)], (255 ^ _44886) ^ [] : [-(aScalar0(xu))], (20 ^ _44886) ^ [_45634, _45636] : [-(aNaturalNumber0(_45634)), _45636 = _45634, aNaturalNumber0(_45636)], (133 ^ _44886) ^ [_49190, _49192] : [aNaturalNumber0(_49192), aNaturalNumber0(_49190), iLess0(_49192, _49190), true___, -(true___)], (66 ^ _44886) ^ [_47122, _47124, _47126, _47128] : [-(sdtpldt0(_47128, _47124) = sdtpldt0(_47126, _47122)), _47128 = _47126, _47124 = _47122], (189 ^ _44886) ^ [_50734] : [aScalar0(_50734), -(aScalar0(smndt0(_50734)))], (98 ^ _44886) ^ [_48100] : [aNaturalNumber0(_48100), 101 ^ _44886 : [(104 ^ _44886) ^ [] : [szszuzczcdt0(_48100) = sz00], (102 ^ _44886) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_48100)))]]], (76 ^ _44886) ^ [_47461, _47463, _47465, _47467] : [-(sdtasdt0(_47467, _47463) = sdtasdt0(_47465, _47461)), _47467 = _47465, _47463 = _47461], (215 ^ _44886) ^ [_51691, _51693, _51695] : [226 ^ _44886 : [(229 ^ _44886) ^ [] : [-(sdtpldt0(_51695, _51693) = sdtpldt0(_51693, _51695))], (231 ^ _44886) ^ [] : [-(sdtasdt0(sdtasdt0(_51695, _51693), _51691) = sdtasdt0(_51695, sdtasdt0(_51693, _51691)))], (233 ^ _44886) ^ [] : [-(sdtasdt0(_51695, _51693) = sdtasdt0(_51693, _51695))], (227 ^ _44886) ^ [] : [-(sdtpldt0(sdtpldt0(_51695, _51693), _51691) = sdtpldt0(_51695, sdtpldt0(_51693, _51691)))]], aScalar0(_51695), aScalar0(_51693), aScalar0(_51691)], (169 ^ _44886) ^ [_50150, _50152] : [-(aScalar0(sdtpldt0(_50152, _50150))), aScalar0(_50152), aScalar0(_50150)], (60 ^ _44886) ^ [_46876, _46878] : [_46878 = _46876, -(smndt0(_46878) = smndt0(_46876))]], input).
% 43.51/42.89  ncf('1',plain,[sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))],start(261 ^ 0)).
% 43.51/42.89  ncf('1.1',plain,[-(sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))), sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))), sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))],extension(10 ^ 1,bind([[_45321, _45323, _45325], [sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))), sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))), sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))]]))).
% 43.51/42.89  ncf('1.1.1',plain,[-(sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))))],extension(259 ^ 2)).
% 43.51/42.89  ncf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))), sdtasdt0(xx, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtasdt0(xy, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))],extension(66 ^ 2,bind([[_47122, _47124, _47126, _47128], [sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)), sdtasdt0(xy, sdtpldt0(xu, xv)), sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtasdt0(xx, sdtpldt0(xu, xv))]]))).
% 43.51/42.89  ncf('1.1.2.1',plain,[-(sdtasdt0(xx, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv))), aScalar0(xx), aScalar0(xu), aScalar0(xv)],extension(235 ^ 3,bind([[_52402, _52404, _52406], [xv, xu, xx]]))).
% 43.51/42.89  ncf('1.1.2.1.1',plain,[-(aScalar0(xx))],extension(251 ^ 4)).
% 43.51/42.89  ncf('1.1.2.1.2',plain,[-(aScalar0(xu))],extension(255 ^ 4)).
% 43.51/42.89  ncf('1.1.2.1.3',plain,[-(aScalar0(xv))],extension(257 ^ 4)).
% 43.51/42.89  ncf('1.1.2.2',plain,[-(sdtasdt0(xy, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))), aScalar0(xy), aScalar0(xu), aScalar0(xv)],extension(235 ^ 3,bind([[_52402, _52404, _52406], [xv, xu, xy]]))).
% 43.51/42.89  ncf('1.1.2.2.1',plain,[-(aScalar0(xy))],extension(253 ^ 4)).
% 43.51/42.89  ncf('1.1.2.2.2',plain,[-(aScalar0(xu))],extension(255 ^ 4)).
% 43.51/42.89  ncf('1.1.2.2.3',plain,[-(aScalar0(xv))],extension(257 ^ 4)).
% 43.51/42.89  %-----------------------------------------------------
% 43.51/42.89  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------