TSTP Solution File: NUM435+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM435+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n008.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  : 600s
% DateTime : Mon Jul 18 11:40:47 EDT 2022

% Result   : Theorem 95.37s 93.36s
% Output   : Proof 95.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM435+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n008.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  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 01:09:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 95.37/93.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.37/93.37  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 95.37/93.37  
% 95.37/93.37  %-----------------------------------------------------
% 95.37/93.37  fof(m__, conjecture, sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 95.37/93.37  fof(mMulAsso, axiom, ! [_44730, _44733, _44736] : (aInteger0(_44730) & aInteger0(_44733) & aInteger0(_44736) => sdtasdt0(_44730, sdtasdt0(_44733, _44736)) = sdtasdt0(sdtasdt0(_44730, _44733), _44736)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulAsso)).
% 95.37/93.37  fof(mMulComm, axiom, ! [_44982, _44985] : (aInteger0(_44982) & aInteger0(_44985) => sdtasdt0(_44982, _44985) = sdtasdt0(_44985, _44982)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulComm)).
% 95.37/93.37  fof(m__979, hypothesis, aInteger0(xa) & aInteger0(xb) & aInteger0(xp) & (! xp) = sz00 & aInteger0(xq) & (! xq) = sz00, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__979)).
% 95.37/93.37  fof(m__1032, hypothesis, aInteger0(xm) & sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1032)).
% 95.37/93.37  
% 95.37/93.37  cnf(1, plain, [sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))], clausify(m__)).
% 95.37/93.37  cnf(2, plain, [-(sdtasdt0(_17009, _17142) = sdtasdt0(_17076, _17207)), _17009 = _17076, _17142 = _17207], theory(equality)).
% 95.37/93.37  cnf(3, plain, [-(_14088 = _14088)], theory(equality)).
% 95.37/93.37  cnf(4, plain, [_14241 = _14286, -(_14286 = _14241)], theory(equality)).
% 95.37/93.37  cnf(5, plain, [-(_14520 = _14631), _14520 = _14576, _14576 = _14631], theory(equality)).
% 95.37/93.37  cnf(6, plain, [-(sdtasdt0(_21990, sdtasdt0(_22061, _22131)) = sdtasdt0(sdtasdt0(_21990, _22061), _22131)), aInteger0(_21990), aInteger0(_22061), aInteger0(_22131)], clausify(mMulAsso)).
% 95.37/93.37  cnf(7, plain, [-(sdtasdt0(_22661, _22716) = sdtasdt0(_22716, _22661)), aInteger0(_22661), aInteger0(_22716)], clausify(mMulComm)).
% 95.37/93.37  cnf(8, plain, [-(aInteger0(xp))], clausify(m__979)).
% 95.37/93.37  cnf(9, plain, [-(aInteger0(xq))], clausify(m__979)).
% 95.37/93.37  cnf(10, plain, [-(aInteger0(xm))], clausify(m__1032)).
% 95.37/93.37  cnf(11, plain, [-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)))], clausify(m__1032)).
% 95.37/93.37  
% 95.37/93.37  cnf('1',plain,[sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))],start(1)).
% 95.37/93.37  cnf('1.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(xq, sdtasdt0(xp, xm))), sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xp, xq), xm), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(xq, sdtasdt0(xp, xm))],extension(5,bind([[_14520, _14576, _14631], [sdtpldt0(xa, smndt0(xb)), sdtasdt0(sdtasdt0(xp, xq), xm), sdtasdt0(xq, sdtasdt0(xp, xm))]]))).
% 95.37/93.37  cnf('1.1.1',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtasdt0(sdtasdt0(xp, xq), xm)), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb))],extension(4,bind([[_14241, _14286], [sdtasdt0(sdtasdt0(xp, xq), xm), sdtpldt0(xa, smndt0(xb))]]))).
% 95.37/93.37  cnf('1.1.1.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb))), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(5,bind([[_14520, _14576, _14631], [sdtasdt0(sdtasdt0(xp, xq), xm), sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 95.37/93.37  cnf('1.1.1.1.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtpldt0(xa, smndt0(xb)))],extension(11)).
% 95.37/93.37  cnf('1.1.1.1.2',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb)))],extension(3,bind([[_14088], [sdtpldt0(xa, smndt0(xb))]]))).
% 95.37/93.37  cnf('1.1.2',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(xq, sdtasdt0(xp, xm))), sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(sdtasdt0(xq, xp), xm), sdtasdt0(sdtasdt0(xq, xp), xm) = sdtasdt0(xq, sdtasdt0(xp, xm))],extension(5,bind([[_14520, _14576, _14631], [sdtasdt0(sdtasdt0(xp, xq), xm), sdtasdt0(sdtasdt0(xq, xp), xm), sdtasdt0(xq, sdtasdt0(xp, xm))]]))).
% 95.37/93.37  cnf('1.1.2.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), xm) = sdtasdt0(sdtasdt0(xq, xp), xm)), sdtasdt0(xp, xq) = sdtasdt0(xq, xp), xm = xm],extension(2,bind([[_17009, _17076, _17142, _17207], [sdtasdt0(xp, xq), sdtasdt0(xq, xp), xm, xm]]))).
% 95.37/93.37  cnf('1.1.2.1.1',plain,[-(sdtasdt0(xp, xq) = sdtasdt0(xq, xp)), aInteger0(xp), aInteger0(xq)],extension(7,bind([[_22661, _22716], [xp, xq]]))).
% 95.37/93.37  cnf('1.1.2.1.1.1',plain,[-(aInteger0(xp))],extension(8)).
% 95.37/93.37  cnf('1.1.2.1.1.2',plain,[-(aInteger0(xq))],extension(9)).
% 95.37/93.37  cnf('1.1.2.1.2',plain,[-(xm = xm)],extension(3,bind([[_14088], [xm]]))).
% 95.37/93.37  cnf('1.1.2.2',plain,[-(sdtasdt0(sdtasdt0(xq, xp), xm) = sdtasdt0(xq, sdtasdt0(xp, xm))), sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtasdt0(sdtasdt0(xq, xp), xm)],extension(4,bind([[_14241, _14286], [sdtasdt0(xq, sdtasdt0(xp, xm)), sdtasdt0(sdtasdt0(xq, xp), xm)]]))).
% 95.37/93.37  cnf('1.1.2.2.1',plain,[-(sdtasdt0(xq, sdtasdt0(xp, xm)) = sdtasdt0(sdtasdt0(xq, xp), xm)), aInteger0(xq), aInteger0(xp), aInteger0(xm)],extension(6,bind([[_21990, _22061, _22131], [xq, xp, xm]]))).
% 95.37/93.37  cnf('1.1.2.2.1.1',plain,[-(aInteger0(xq))],extension(9)).
% 95.37/93.37  cnf('1.1.2.2.1.2',plain,[-(aInteger0(xp))],extension(8)).
% 95.37/93.37  cnf('1.1.2.2.1.3',plain,[-(aInteger0(xm))],extension(10)).
% 95.37/93.37  %-----------------------------------------------------
% 95.37/93.38  
% 95.37/93.38  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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