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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS193+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:00:24 PM UTC 2026

% Result   : Theorem 0.13s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS193+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 22:56:49 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.13/0.37  % Drodi V4.1.1
% 0.13/0.41  % Refutation found
% 0.13/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41  fof(f5,axiom,(
% 0.13/0.41    (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.13/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f13,axiom,(
% 0.13/0.41    (! [Ax,C] :( ~ (? [I1] : model(I1,Ax))<=> status(Ax,C,cax) ) )),
% 0.13/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f21,axiom,(
% 0.13/0.41    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.13/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f33,conjecture,(
% 0.13/0.41    isa(cax,thm) ),
% 0.13/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41  fof(f34,negated_conjecture,(
% 0.13/0.41    ~(isa(cax,thm) )),
% 0.13/0.41    inference(negated_conjecture,[status(cth)],[f33])).
% 0.13/0.41  fof(f62,plain,(
% 0.13/0.41    ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.13/0.41    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.41  fof(f63,plain,(
% 0.13/0.41    ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.13/0.41    inference(NNF_transformation,[status(thm)],[f62])).
% 0.13/0.41  fof(f64,plain,(
% 0.13/0.41    (![Ax,C]: ((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.13/0.41    inference(miniscoping,[status(thm)],[f63])).
% 0.13/0.41  fof(f65,plain,(
% 0.13/0.41    (![Ax,C]: ((model(sK9_skl(C,Ax),Ax)&~model(sK9_skl(C,Ax),C))|status(Ax,C,thm)))&(![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.13/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.13/0.41  fof(f66,plain,(
% 0.13/0.41    ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.41  fof(f126,plain,(
% 0.13/0.41    ![Ax,C]: ((![I1]: ~model(I1,Ax))<=>status(Ax,C,cax))),
% 0.13/0.41    inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.41  fof(f127,plain,(
% 0.13/0.41    ![Ax,C]: (((?[I1]: model(I1,Ax))|status(Ax,C,cax))&((![I1]: ~model(I1,Ax))|~status(Ax,C,cax)))),
% 0.13/0.41    inference(NNF_transformation,[status(thm)],[f126])).
% 0.13/0.41  fof(f128,plain,(
% 0.13/0.41    (![Ax]: ((?[I1]: model(I1,Ax))|(![C]: status(Ax,C,cax))))&(![Ax]: ((![I1]: ~model(I1,Ax))|(![C]: ~status(Ax,C,cax))))),
% 0.13/0.41    inference(miniscoping,[status(thm)],[f127])).
% 0.13/0.41  fof(f129,plain,(
% 0.13/0.41    (![Ax]: (model(sK29_skl(Ax),Ax)|(![C]: status(Ax,C,cax))))&(![Ax]: ((![I1]: ~model(I1,Ax))|(![C]: ~status(Ax,C,cax))))),
% 0.13/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(I1,sK29_skl(Ax))],[f128])).
% 0.13/0.41  fof(f131,plain,(
% 0.13/0.41    ![X0,X1,X2]: (~model(X0,X1)|~status(X1,X2,cax))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f129])).
% 0.13/0.41  fof(f180,plain,(
% 0.13/0.41    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.13/0.41    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.13/0.41  fof(f181,plain,(
% 0.13/0.41    ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.13/0.41    inference(NNF_transformation,[status(thm)],[f180])).
% 0.13/0.41  fof(f182,plain,(
% 0.13/0.41    (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.13/0.41    inference(miniscoping,[status(thm)],[f181])).
% 0.13/0.41  fof(f183,plain,(
% 0.13/0.41    (![S1,S2]: ((status(sK44_skl(S2,S1),sK45_skl(S2,S1),S1)&~status(sK44_skl(S2,S1),sK45_skl(S2,S1),S2))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.13/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182])).
% 0.13/0.41  fof(f184,plain,(
% 0.13/0.41    ![X0,X1]: (status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1)|isa(X1,X0))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f183])).
% 0.13/0.41  fof(f185,plain,(
% 0.13/0.41    ![X0,X1]: (~status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0)|isa(X1,X0))),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f183])).
% 0.13/0.41  fof(f240,plain,(
% 0.13/0.41    ~isa(cax,thm)),
% 0.13/0.41    inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41  fof(f255,plain,(
% 0.13/0.41    ![X0,X1]: (isa(cax,X0)|~model(X1,sK44_skl(X0,cax)))),
% 0.13/0.41    inference(resolution,[status(thm)],[f184,f131])).
% 0.13/0.41  fof(f261,plain,(
% 0.13/0.41    ![X0,X1]: (isa(cax,X0)|status(sK44_skl(X0,cax),X1,thm))),
% 0.13/0.41    inference(resolution,[status(thm)],[f255,f66])).
% 0.13/0.41  fof(f296,plain,(
% 0.13/0.41    isa(cax,thm)|isa(cax,thm)),
% 0.13/0.41    inference(resolution,[status(thm)],[f261,f185])).
% 0.13/0.41  fof(f299,definition,(
% 0.13/0.41    sQ5_spl <=> (isa(cax,thm))),
% 0.13/0.41    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41  fof(f300,plain,(
% 0.13/0.41    isa(cax,thm)|~sQ5_spl),
% 0.13/0.41    inference(component_clause,[status(thm)],[f299])).
% 0.13/0.41  fof(f302,plain,(
% 0.13/0.41    sQ5_spl),
% 0.13/0.41    inference(split_clause,[status(thm)],[f296,f299])).
% 0.13/0.41  fof(f303,plain,(
% 0.13/0.41    $false|~sQ5_spl),
% 0.13/0.41    inference(forward_subsumption_resolution,[status(thm)],[f300,f240])).
% 0.13/0.41  fof(f304,plain,(
% 0.13/0.41    ~sQ5_spl),
% 0.13/0.41    inference(contradiction_clause,[status(thm)],[f303])).
% 0.13/0.41  fof(f305,plain,(
% 0.13/0.41    $false),
% 0.13/0.41    inference(sat_refutation,[status(thm)],[f302,f304])).
% 0.13/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44  % Elapsed time: 0.059425 seconds
% 0.13/0.44  % CPU time: 0.246137 seconds
% 0.13/0.44  % Total memory used: 23.015 MB
% 0.13/0.44  % Net memory used: 22.607 MB
%------------------------------------------------------------------------------