TSTP Solution File: RNG125+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.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  : 600s
% DateTime : Mon Jul 18 20:33:53 EDT 2022

% Result   : Theorem 1.13s 1.39s
% Output   : Proof 1.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : leancop_casc.sh %s %d
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Mon May 30 04:47:43 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 1.13/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.13/1.40  
% 1.13/1.40  %-----------------------------------------------------
% 1.13/1.40  fof(mEOfElem, axiom, ! [_92581] : (aSet0(_92581) => ! [_92596] : (aElementOf0(_92596, _92581) => aElement0(_92596))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 1.13/1.40  fof(mDefIdeal, definition, ! [_92785] : (aIdeal0(_92785) <=> aSet0(_92785) & ! [_92807] : (aElementOf0(_92807, _92785) => ! [_92825] : (aElementOf0(_92825, _92785) => aElementOf0(sdtpldt0(_92807, _92825), _92785)) & ! [_92825] : (aElement0(_92825) => aElementOf0(sdtasdt0(_92825, _92807), _92785)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefIdeal)).
% 1.13/1.40  fof(mDefDvs, definition, ! [_93182] : (aElement0(_93182) => ! [_93197] : (aDivisorOf0(_93197, _93182) <=> aElement0(_93197) & doDivides0(_93197, _93182))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefDvs)).
% 1.13/1.40  fof(m__2091, hypothesis, aElement0(xa) & aElement0(xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2091)).
% 1.13/1.40  fof(m__2174, hypothesis, aIdeal0(xI) & xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2174)).
% 1.13/1.40  fof(m__2479, hypothesis, ~ ~ doDivides0(xu, xa), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2479)).
% 1.13/1.40  fof(m__2612, hypothesis, ~ ~ doDivides0(xu, xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2612)).
% 1.13/1.40  fof(m__2383, hypothesis, ~ (aDivisorOf0(xu, xa) & aDivisorOf0(xu, xb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2383)).
% 1.13/1.40  fof(m__2273, hypothesis, aElementOf0(xu, xI) & (! xu) = sz00 & ! [_93732] : (aElementOf0(_93732, xI) & (! _93732) = sz00 => ~ iLess0(sbrdtbr0(_93732), sbrdtbr0(xu))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2273)).
% 1.13/1.40  
% 1.13/1.40  cnf(1, plain, [-(_25662 = _25662)], theory(equality)).
% 1.13/1.40  cnf(2, plain, [-(doDivides0(_30226, _30357)), doDivides0(_30159, _30292), _30159 = _30226, _30292 = _30357], theory(equality)).
% 1.13/1.40  cnf(3, plain, [aSet0(_44491), aElementOf0(_44578, _44491), -(aElement0(_44578))], clausify(mEOfElem)).
% 1.13/1.40  cnf(4, plain, [aIdeal0(_47760), -(aSet0(_47760))], clausify(mDefIdeal)).
% 1.13/1.40  cnf(5, plain, [aElement0(_53996), -(aDivisorOf0(_54089, _53996)), aElement0(_54089), doDivides0(_54089, _53996)], clausify(mDefDvs)).
% 1.13/1.40  cnf(6, plain, [-(aElement0(xa))], clausify(m__2091)).
% 1.13/1.40  cnf(7, plain, [-(aElement0(xb))], clausify(m__2091)).
% 1.13/1.40  cnf(8, plain, [-(aIdeal0(xI))], clausify(m__2174)).
% 1.13/1.40  cnf(9, plain, [-(doDivides0(xu, xa))], clausify(m__2479)).
% 1.13/1.40  cnf(10, plain, [-(doDivides0(xu, xb))], clausify(m__2612)).
% 1.13/1.40  cnf(11, plain, [aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)], clausify(m__2383)).
% 1.13/1.40  cnf(12, plain, [-(aElementOf0(xu, xI))], clausify(m__2273)).
% 1.13/1.40  
% 1.13/1.40  cnf('1',plain,[aDivisorOf0(xu, xa), aDivisorOf0(xu, xb)],start(11)).
% 1.13/1.40  cnf('1.1',plain,[-(aDivisorOf0(xu, xa)), aElement0(xa), aElement0(xu), doDivides0(xu, xa)],extension(5,bind([[_54089, _53996], [xu, xa]]))).
% 1.13/1.40  cnf('1.1.1',plain,[-(aElement0(xa))],extension(6)).
% 1.13/1.40  cnf('1.1.2',plain,[-(aElement0(xu)), aSet0(xI), aElementOf0(xu, xI)],extension(3,bind([[_44578, _44491], [xu, xI]]))).
% 1.13/1.40  cnf('1.1.2.1',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(4,bind([[_47760], [xI]]))).
% 1.13/1.40  cnf('1.1.2.1.1',plain,[-(aIdeal0(xI))],extension(8)).
% 1.13/1.40  cnf('1.1.2.2',plain,[-(aElementOf0(xu, xI))],extension(12)).
% 1.13/1.40  cnf('1.1.3',plain,[-(doDivides0(xu, xa)), doDivides0(xu, xa), xu = xu, xa = xa],extension(2,bind([[_30159, _30226, _30292, _30357], [xu, xu, xa, xa]]))).
% 1.13/1.40  cnf('1.1.3.1',plain,[-(doDivides0(xu, xa))],extension(9)).
% 1.13/1.40  cnf('1.1.3.2',plain,[-(xu = xu)],extension(1,bind([[_25662], [xu]]))).
% 1.13/1.40  cnf('1.1.3.3',plain,[-(xa = xa)],extension(1,bind([[_25662], [xa]]))).
% 1.13/1.40  cnf('1.2',plain,[-(aDivisorOf0(xu, xb)), aElement0(xb), aElement0(xu), doDivides0(xu, xb)],extension(5,bind([[_54089, _53996], [xu, xb]]))).
% 1.13/1.40  cnf('1.2.1',plain,[-(aElement0(xb))],extension(7)).
% 1.13/1.40  cnf('1.2.2',plain,[-(aElement0(xu)), aSet0(xI), aElementOf0(xu, xI)],extension(3,bind([[_44578, _44491], [xu, xI]]))).
% 1.13/1.40  cnf('1.2.2.1',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(4,bind([[_47760], [xI]]))).
% 1.13/1.40  cnf('1.2.2.1.1',plain,[-(aIdeal0(xI))],extension(8)).
% 1.13/1.40  cnf('1.2.2.2',plain,[-(aElementOf0(xu, xI))],extension(12)).
% 1.13/1.40  cnf('1.2.3',plain,[-(doDivides0(xu, xb))],extension(10)).
% 1.13/1.40  %-----------------------------------------------------
% 1.13/1.40  
% 1.13/1.40  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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