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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS194+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 : n006.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 0.18s 0.48s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KRS194+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41  % Computer : n006.cluster.edu
% 0.18/0.41  % Model    : x86_64 x86_64
% 0.18/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.41  % Memory   : 8046.5625MB
% 0.18/0.41  % OS       : Linux 6.8.0-71-generic
% 0.18/0.41  % CPULimit : 300
% 0.18/0.41  % WCLimit  : 300
% 0.18/0.41  % DateTime : Sun Sep 20 22:56:42 UTC 2026
% 0.18/0.42  % CPUTime  : 
% 0.18/0.43  % Drodi V4.1.1
% 0.18/0.48  % Refutation found
% 0.18/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48  fof(f5,axiom,(
% 0.18/0.48    (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f14,axiom,(
% 0.18/0.48    (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))& (? [I2] : model(I2,C) ))<=> status(Ax,C,sca) ) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f21,axiom,(
% 0.18/0.48    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f33,conjecture,(
% 0.18/0.48    isa(sca,thm) ),
% 0.18/0.48    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48  fof(f34,negated_conjecture,(
% 0.18/0.48    ~(isa(sca,thm) )),
% 0.18/0.48    inference(negated_conjecture,[status(cth)],[f33])).
% 0.18/0.48  fof(f62,plain,(
% 0.18/0.48    ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.48  fof(f63,plain,(
% 0.18/0.48    ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.18/0.48    inference(NNF_transformation,[status(thm)],[f62])).
% 0.18/0.48  fof(f64,plain,(
% 0.18/0.48    (![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)))),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f63])).
% 0.18/0.48  fof(f65,plain,(
% 0.18/0.48    (![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)))),
% 0.18/0.48    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.18/0.48  fof(f66,plain,(
% 0.18/0.48    ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f65])).
% 0.18/0.48  fof(f132,plain,(
% 0.18/0.48    ![Ax,C]: (((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))<=>status(Ax,C,sca))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.18/0.48  fof(f133,plain,(
% 0.18/0.48    ![Ax,C]: ((((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|status(Ax,C,sca))&(((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|~status(Ax,C,sca)))),
% 0.18/0.48    inference(NNF_transformation,[status(thm)],[f132])).
% 0.18/0.48  fof(f134,plain,(
% 0.18/0.48    (![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|status(Ax,C,sca)))&(![Ax,C]: (((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|~status(Ax,C,sca)))),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f133])).
% 0.18/0.48  fof(f135,plain,(
% 0.18/0.48    (![Ax,C]: ((model(sK30_skl(C,Ax),Ax)|(![I2]: ~model(I2,C)))|status(Ax,C,sca)))&(![Ax,C]: (((![I1]: ~model(I1,Ax))&model(sK31_skl(C,Ax),C))|~status(Ax,C,sca)))),
% 0.18/0.48    inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(I1,sK30_skl(C,Ax)),skolemize(I2,sK31_skl(C,Ax))],[f134])).
% 0.18/0.48  fof(f137,plain,(
% 0.18/0.48    ![X0,X1,X2]: (~model(X0,X1)|~status(X1,X2,sca))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f135])).
% 0.18/0.48  fof(f180,plain,(
% 0.18/0.48    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.18/0.48    inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.18/0.48  fof(f181,plain,(
% 0.18/0.48    ![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)))),
% 0.18/0.48    inference(NNF_transformation,[status(thm)],[f180])).
% 0.18/0.48  fof(f182,plain,(
% 0.18/0.48    (![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)))),
% 0.18/0.48    inference(miniscoping,[status(thm)],[f181])).
% 0.18/0.48  fof(f183,plain,(
% 0.18/0.48    (![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)))),
% 0.18/0.48    inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182])).
% 0.18/0.48  fof(f184,plain,(
% 0.18/0.48    ![X0,X1]: (status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1)|isa(X1,X0))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f183])).
% 0.18/0.48  fof(f185,plain,(
% 0.18/0.48    ![X0,X1]: (~status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0)|isa(X1,X0))),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f183])).
% 0.18/0.48  fof(f240,plain,(
% 0.18/0.48    ~isa(sca,thm)),
% 0.18/0.48    inference(cnf_transformation,[status(thm)],[f34])).
% 0.18/0.49  fof(f254,plain,(
% 0.18/0.49    ![X0,X1]: (isa(sca,X0)|~model(X1,sK44_skl(X0,sca)))),
% 0.18/0.49    inference(resolution,[status(thm)],[f184,f137])).
% 0.18/0.49  fof(f260,plain,(
% 0.18/0.49    ![X0,X1]: (isa(sca,X0)|status(sK44_skl(X0,sca),X1,thm))),
% 0.18/0.49    inference(resolution,[status(thm)],[f254,f66])).
% 0.18/0.49  fof(f287,plain,(
% 0.18/0.49    isa(sca,thm)|isa(sca,thm)),
% 0.18/0.49    inference(resolution,[status(thm)],[f260,f185])).
% 0.18/0.49  fof(f291,definition,(
% 0.18/0.49    sQ4_spl <=> (isa(sca,thm))),
% 0.18/0.49    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.49  fof(f292,plain,(
% 0.18/0.49    isa(sca,thm)|~sQ4_spl),
% 0.18/0.49    inference(component_clause,[status(thm)],[f291])).
% 0.18/0.49  fof(f294,plain,(
% 0.18/0.49    sQ4_spl),
% 0.18/0.49    inference(split_clause,[status(thm)],[f287,f291])).
% 0.18/0.49  fof(f296,plain,(
% 0.18/0.49    $false|~sQ4_spl),
% 0.18/0.49    inference(forward_subsumption_resolution,[status(thm)],[f292,f240])).
% 0.18/0.49  fof(f297,plain,(
% 0.18/0.49    ~sQ4_spl),
% 0.18/0.49    inference(contradiction_clause,[status(thm)],[f296])).
% 0.18/0.49  fof(f298,plain,(
% 0.18/0.49    $false),
% 0.18/0.49    inference(sat_refutation,[status(thm)],[f294,f297])).
% 0.18/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53  % Elapsed time: 0.107316 seconds
% 0.18/0.53  % CPU time: 0.215360 seconds
% 0.18/0.53  % Total memory used: 9.223 MB
% 0.18/0.53  % Net memory used: 9.019 MB
%------------------------------------------------------------------------------