TSTP Solution File: RNG044+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG044+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 43.46s 42.85s
% Output : Proof 43.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG044+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 20:13:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 43.46/42.85
% 43.46/42.85 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.46/42.85 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.46/42.85 %-----------------------------------------------------
% 43.46/42.85 ncf(matrix, plain, [(259 ^ _53219) ^ [] : [sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))], !, (10 ^ _44977) ^ [_45412, _45414, _45416] : [-(_45416 = _45412), _45416 = _45414, _45414 = _45412], (4 ^ _44977) ^ [_45208, _45210] : [_45210 = _45208, -(_45208 = _45210)], (60 ^ _44977) ^ [_46967, _46969] : [_46969 = _46967, -(smndt0(_46969) = smndt0(_46967))], (44 ^ _44977) ^ [_46444, _46446] : [-(aScalar0(_46444)), _46446 = _46444, aScalar0(_46446)], (106 ^ _44977) ^ [_48459] : [114 ^ _44977 : [(117 ^ _44977) ^ [] : [-(_48459 = szszuzczcdt0(113 ^ [_48459]))], (115 ^ _44977) ^ [] : [-(aNaturalNumber0(113 ^ [_48459]))]], aNaturalNumber0(_48459), -(_48459 = sz00)], (215 ^ _44977) ^ [_51782, _51784, _51786] : [226 ^ _44977 : [(229 ^ _44977) ^ [] : [-(sdtpldt0(_51786, _51784) = sdtpldt0(_51784, _51786))], (231 ^ _44977) ^ [] : [-(sdtasdt0(sdtasdt0(_51786, _51784), _51782) = sdtasdt0(_51786, sdtasdt0(_51784, _51782)))], (233 ^ _44977) ^ [] : [-(sdtasdt0(_51786, _51784) = sdtasdt0(_51784, _51786))], (227 ^ _44977) ^ [] : [-(sdtpldt0(sdtpldt0(_51786, _51784), _51782) = sdtpldt0(_51786, sdtpldt0(_51784, _51782)))]], aScalar0(_51786), aScalar0(_51784), aScalar0(_51782)], (133 ^ _44977) ^ [_49281, _49283] : [aNaturalNumber0(_49283), aNaturalNumber0(_49281), iLess0(_49283, _49281), true___, -(true___)], (179 ^ _44977) ^ [_50540, _50542] : [-(aScalar0(sdtasdt0(_50542, _50540))), aScalar0(_50542), aScalar0(_50540)], (167 ^ _44977) ^ [] : [-(aScalar0(sz0z00))], (66 ^ _44977) ^ [_47213, _47215, _47217, _47219] : [-(sdtpldt0(_47219, _47215) = sdtpldt0(_47217, _47213)), _47219 = _47217, _47215 = _47213], (257 ^ _44977) ^ [] : [-(aScalar0(xv))], (255 ^ _44977) ^ [] : [-(aScalar0(xu))], (76 ^ _44977) ^ [_47552, _47554, _47556, _47558] : [-(sdtasdt0(_47558, _47554) = sdtasdt0(_47556, _47552)), _47558 = _47556, _47554 = _47552], (169 ^ _44977) ^ [_50241, _50243] : [-(aScalar0(sdtpldt0(_50243, _50241))), aScalar0(_50243), aScalar0(_50241)], (235 ^ _44977) ^ [_52493, _52495, _52497] : [246 ^ _44977 : [(249 ^ _44977) ^ [] : [-(sdtasdt0(sdtpldt0(_52497, _52495), _52493) = sdtpldt0(sdtasdt0(_52497, _52493), sdtasdt0(_52495, _52493)))], (247 ^ _44977) ^ [] : [-(sdtasdt0(_52497, sdtpldt0(_52495, _52493)) = sdtpldt0(sdtasdt0(_52497, _52495), sdtasdt0(_52497, _52493)))]], aScalar0(_52497), aScalar0(_52495), aScalar0(_52493)], (195 ^ _44977) ^ [_51015] : [aScalar0(_51015), 198 ^ _44977 : [(203 ^ _44977) ^ [] : [-(sdtasdt0(_51015, sz0z00) = sz0z00)], (209 ^ _44977) ^ [] : [-(sdtpldt0(smndt0(_51015), _51015) = sz0z00)], (199 ^ _44977) ^ [] : [-(sdtpldt0(_51015, sz0z00) = _51015)], (211 ^ _44977) ^ [] : [-(smndt0(smndt0(_51015)) = _51015)], (205 ^ _44977) ^ [] : [-(sdtasdt0(sz0z00, _51015) = sz0z00)], (207 ^ _44977) ^ [] : [-(sdtpldt0(_51015, smndt0(_51015)) = sz0z00)], (213 ^ _44977) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (201 ^ _44977) ^ [] : [-(sdtpldt0(sz0z00, _51015) = _51015)]]], (20 ^ _44977) ^ [_45725, _45727] : [-(aNaturalNumber0(_45725)), _45727 = _45725, aNaturalNumber0(_45727)], (251 ^ _44977) ^ [] : [-(aScalar0(xx))], (30 ^ _44977) ^ [_46048, _46050, _46052, _46054] : [-(iLess0(_46052, _46048)), iLess0(_46054, _46050), _46054 = _46052, _46050 = _46048], (157 ^ _44977) ^ [_49919] : [aScalar0(_49919), true___, -(true___)], (86 ^ _44977) ^ [_47883] : [aNaturalNumber0(_47883), true___, -(true___)], (2 ^ _44977) ^ [_45101] : [-(_45101 = _45101)], (151 ^ _44977) ^ [_49727] : [aNaturalNumber0(_49727), -(iLess0(_49727, szszuzczcdt0(_49727)))], (253 ^ _44977) ^ [] : [-(aScalar0(xy))], (54 ^ _44977) ^ [_46749, _46751] : [_46751 = _46749, -(szszuzczcdt0(_46751) = szszuzczcdt0(_46749))], (189 ^ _44977) ^ [_50825] : [aScalar0(_50825), -(aScalar0(smndt0(_50825)))], (96 ^ _44977) ^ [] : [-(aNaturalNumber0(sz00))], (119 ^ _44977) ^ [_48887, _48889] : [aNaturalNumber0(_48889), aNaturalNumber0(_48887), szszuzczcdt0(_48889) = szszuzczcdt0(_48887), -(_48889 = _48887)], (98 ^ _44977) ^ [_48191] : [aNaturalNumber0(_48191), 101 ^ _44977 : [(104 ^ _44977) ^ [] : [szszuzczcdt0(_48191) = sz00], (102 ^ _44977) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_48191)))]]]], input).
% 43.46/42.85 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(259 ^ 0)).
% 43.46/42.85 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)))), sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))) = sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))],extension(4 ^ 1,bind([[_45208, _45210], [sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)), sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)))]]))).
% 43.46/42.85 ncf('1.1.1',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))) = sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))), 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))), sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))) = sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))],extension(10 ^ 2,bind([[_45412, _45414, _45416], [sdtasdt0(sdtpldt0(xx, 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)))]]))).
% 43.46/42.85 ncf('1.1.1.1',plain,[-(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)))), 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(4 ^ 3,bind([[_45208, _45210], [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)))]]))).
% 43.46/42.85 ncf('1.1.1.1.1',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 ^ 4,bind([[_47213, _47215, _47217, _47219], [sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv)), sdtasdt0(xy, sdtpldt0(xu, xv)), sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv)), sdtasdt0(xx, sdtpldt0(xu, xv))]]))).
% 43.46/42.85 ncf('1.1.1.1.1.1',plain,[-(sdtasdt0(xx, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, xu), sdtasdt0(xx, xv))), aScalar0(xx), aScalar0(xu), aScalar0(xv)],extension(235 ^ 5,bind([[_52493, _52495, _52497], [xv, xu, xx]]))).
% 43.46/42.85 ncf('1.1.1.1.1.1.1',plain,[-(aScalar0(xx))],extension(251 ^ 6)).
% 43.46/42.85 ncf('1.1.1.1.1.1.2',plain,[-(aScalar0(xu))],extension(255 ^ 6)).
% 43.46/42.85 ncf('1.1.1.1.1.1.3',plain,[-(aScalar0(xv))],extension(257 ^ 6)).
% 43.46/42.85 ncf('1.1.1.1.1.2',plain,[-(sdtasdt0(xy, sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xy, xu), sdtasdt0(xy, xv))), aScalar0(xy), aScalar0(xu), aScalar0(xv)],extension(235 ^ 5,bind([[_52493, _52495, _52497], [xv, xu, xy]]))).
% 43.46/42.85 ncf('1.1.1.1.1.2.1',plain,[-(aScalar0(xy))],extension(253 ^ 6)).
% 43.46/42.85 ncf('1.1.1.1.1.2.2',plain,[-(aScalar0(xu))],extension(255 ^ 6)).
% 43.46/42.85 ncf('1.1.1.1.1.2.3',plain,[-(aScalar0(xv))],extension(257 ^ 6)).
% 43.46/42.85 ncf('1.1.1.2',plain,[-(sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))) = sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))), sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv)))],extension(4 ^ 3,bind([[_45208, _45210], [sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv))), sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv))]]))).
% 43.46/42.85 ncf('1.1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xx, xy), sdtpldt0(xu, xv)) = sdtpldt0(sdtasdt0(xx, sdtpldt0(xu, xv)), sdtasdt0(xy, sdtpldt0(xu, xv)))), aScalar0(xx), aScalar0(xy), aScalar0(sdtpldt0(xu, xv))],extension(235 ^ 4,bind([[_52493, _52495, _52497], [sdtpldt0(xu, xv), xy, xx]]))).
% 43.46/42.85 ncf('1.1.1.2.1.1',plain,[-(aScalar0(xx))],extension(251 ^ 5)).
% 43.46/42.85 ncf('1.1.1.2.1.2',plain,[-(aScalar0(xy))],extension(253 ^ 5)).
% 43.46/42.85 ncf('1.1.1.2.1.3',plain,[-(aScalar0(sdtpldt0(xu, xv))), aScalar0(xu), aScalar0(xv)],extension(169 ^ 5,bind([[_50241, _50243], [xv, xu]]))).
% 43.46/42.85 ncf('1.1.1.2.1.3.1',plain,[-(aScalar0(xu))],extension(255 ^ 6)).
% 43.46/42.85 ncf('1.1.1.2.1.3.2',plain,[-(aScalar0(xv))],extension(257 ^ 6)).
% 43.46/42.85 %-----------------------------------------------------
% 43.46/42.85 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------