%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS187+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 : n026.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 01:00:23 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS187+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
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:58:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (! [I2] : model(I2,C) ))<=> status(Ax,C,tac) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,axiom,(
% 0.12/0.39 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,conjecture,(
% 0.12/0.39 isa(tac,thm) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 ~(isa(tac,thm) )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f33])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f62])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 (![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)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f63])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 (![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)))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 ![Ax,C]: ((((![I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,C)))|status(Ax,C,tac))&(((?[I1]: model(I1,Ax))&(![I2]: model(I2,C)))|~status(Ax,C,tac)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 (![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,C)))|status(Ax,C,tac)))&(![Ax,C]: (((?[I1]: model(I1,Ax))&(![I2]: model(I2,C)))|~status(Ax,C,tac)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f77])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 (![Ax,C]: (((![I1]: ~model(I1,Ax))|~model(sK12_skl(C,Ax),C))|status(Ax,C,tac)))&(![Ax,C]: ((model(sK13_skl(C,Ax),Ax)&(![I2]: model(I2,C)))|~status(Ax,C,tac)))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl]),skolemize(I2,sK12_skl(C,Ax)),skolemize(I1,sK13_skl(C,Ax))],[f78])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 ![X0,X1,X2]: (model(X0,X1)|~status(X2,X1,tac))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f79])).
% 0.12/0.39 fof(f180,plain,(
% 0.12/0.39 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f181,plain,(
% 0.12/0.39 ![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)))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f180])).
% 0.12/0.39 fof(f182,plain,(
% 0.12/0.39 (![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)))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f181])).
% 0.12/0.39 fof(f183,plain,(
% 0.12/0.39 (![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)))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182])).
% 0.12/0.39 fof(f184,plain,(
% 0.12/0.39 ![X0,X1]: (status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1)|isa(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f183])).
% 0.12/0.39 fof(f185,plain,(
% 0.12/0.39 ![X0,X1]: (~status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0)|isa(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f183])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 ~isa(tac,thm)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f256,plain,(
% 0.12/0.39 ![X0,X1]: (isa(tac,X0)|model(X1,sK45_skl(X0,tac)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f184,f82])).
% 0.12/0.39 fof(f260,plain,(
% 0.12/0.39 ![X0,X1]: (isa(tac,X0)|status(X1,sK45_skl(X0,tac),thm))),
% 0.12/0.40 inference(resolution,[status(thm)],[f256,f67])).
% 0.12/0.40 fof(f266,plain,(
% 0.12/0.40 isa(tac,thm)|isa(tac,thm)),
% 0.12/0.40 inference(resolution,[status(thm)],[f185,f260])).
% 0.12/0.40 fof(f269,definition,(
% 0.12/0.40 sQ2_spl <=> (isa(tac,thm))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f270,plain,(
% 0.12/0.40 isa(tac,thm)|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f269])).
% 0.12/0.40 fof(f272,plain,(
% 0.12/0.40 sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f266,f269])).
% 0.12/0.40 fof(f273,plain,(
% 0.12/0.40 $false|~sQ2_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f270,f240])).
% 0.12/0.40 fof(f274,plain,(
% 0.12/0.40 ~sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f273])).
% 0.12/0.40 fof(f275,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f272,f274])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.058320 seconds
% 0.12/0.42 % CPU time: 0.226373 seconds
% 0.12/0.42 % Total memory used: 22.557 MB
% 0.12/0.42 % Net memory used: 22.216 MB
%------------------------------------------------------------------------------