%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS186+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 : n013.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 0.14s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS186+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
% 0.09/5.37 % Computer : n013.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 22:55:27 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.14/5.43 % Refutation found
% 0.14/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.43 fof(f5,axiom,(
% 0.14/5.43 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.14/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.43 fof(f6,axiom,(
% 0.14/5.43 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)<=> model(I2,C) ) ))<=> status(Ax,C,eqv) ) )),
% 0.14/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.43 fof(f21,axiom,(
% 0.14/5.43 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.14/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.43 fof(f33,conjecture,(
% 0.14/5.43 isa(eqv,thm) ),
% 0.14/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.43 fof(f34,negated_conjecture,(
% 0.14/5.43 ~(isa(eqv,thm) )),
% 0.14/5.43 inference(negated_conjecture,[status(cth)],[f33])).
% 0.14/5.43 fof(f62,plain,(
% 0.14/5.43 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.14/5.43 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/5.43 fof(f63,plain,(
% 0.14/5.43 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f62])).
% 0.14/5.43 fof(f64,plain,(
% 0.14/5.43 (![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)))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f63])).
% 0.14/5.43 fof(f65,plain,(
% 0.14/5.43 (![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)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.14/5.43 fof(f66,plain,(
% 0.14/5.43 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/5.43 fof(f67,plain,(
% 0.14/5.43 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/5.43 fof(f69,plain,(
% 0.14/5.43 ![Ax,C]: ((((![I1]: ~model(I1,Ax))|(?[I2]: ((~model(I2,Ax)|~model(I2,C))&(model(I2,Ax)|model(I2,C)))))|status(Ax,C,eqv))&(((?[I1]: model(I1,Ax))&(![I2]: ((~model(I2,Ax)|model(I2,C))&(model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f6])).
% 0.14/5.43 fof(f70,plain,(
% 0.14/5.43 (![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: ((~model(I2,Ax)|~model(I2,C))&(model(I2,Ax)|model(I2,C)))))|status(Ax,C,eqv)))&(![Ax,C]: (((?[I1]: model(I1,Ax))&((![I2]: (~model(I2,Ax)|model(I2,C)))&(![I2]: (model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f69])).
% 0.14/5.43 fof(f71,plain,(
% 0.14/5.43 (![Ax,C]: (((![I1]: ~model(I1,Ax))|((~model(sK10_skl(C,Ax),Ax)|~model(sK10_skl(C,Ax),C))&(model(sK10_skl(C,Ax),Ax)|model(sK10_skl(C,Ax),C))))|status(Ax,C,eqv)))&(![Ax,C]: ((model(sK11_skl(C,Ax),Ax)&((![I2]: (~model(I2,Ax)|model(I2,C)))&(![I2]: (model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(I2,sK10_skl(C,Ax)),skolemize(I1,sK11_skl(C,Ax))],[f70])).
% 0.14/5.43 fof(f75,plain,(
% 0.14/5.43 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,eqv))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f71])).
% 0.14/5.43 fof(f180,plain,(
% 0.14/5.43 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.14/5.43 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.14/5.43 fof(f181,plain,(
% 0.14/5.43 ![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)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f180])).
% 0.14/5.43 fof(f182,plain,(
% 0.14/5.43 (![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)))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f181])).
% 0.14/5.43 fof(f183,plain,(
% 0.14/5.43 (![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)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK44_skl,sK45_skl]),skolemize(Ax,sK44_skl(S2,S1)),skolemize(C,sK45_skl(S2,S1))],[f182])).
% 0.14/5.43 fof(f184,plain,(
% 0.14/5.43 ![X0,X1]: (status(sK44_skl(X0,X1),sK45_skl(X0,X1),X1)|isa(X1,X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f183])).
% 0.14/5.43 fof(f185,plain,(
% 0.14/5.43 ![X0,X1]: (~status(sK44_skl(X0,X1),sK45_skl(X0,X1),X0)|isa(X1,X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f183])).
% 0.14/5.43 fof(f240,plain,(
% 0.14/5.43 ~isa(eqv,thm)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/5.43 fof(f255,plain,(
% 0.14/5.43 ![X0,X1]: (isa(eqv,X0)|~model(X1,sK44_skl(X0,eqv))|model(X1,sK45_skl(X0,eqv)))),
% 0.14/5.43 inference(resolution,[status(thm)],[f184,f75])).
% 0.14/5.43 fof(f263,plain,(
% 0.14/5.43 ![X0,X1]: (isa(eqv,X0)|~model(sK9_skl(sK45_skl(X0,eqv),X1),sK44_skl(X0,eqv))|status(X1,sK45_skl(X0,eqv),thm))),
% 0.14/5.43 inference(resolution,[status(thm)],[f255,f67])).
% 0.14/5.43 fof(f265,plain,(
% 0.14/5.43 ![X0]: (isa(eqv,X0)|status(sK44_skl(X0,eqv),sK45_skl(X0,eqv),thm)|status(sK44_skl(X0,eqv),sK45_skl(X0,eqv),thm))),
% 0.14/5.43 inference(resolution,[status(thm)],[f263,f66])).
% 0.14/5.43 fof(f267,plain,(
% 0.14/5.43 ![X0]: (isa(eqv,X0)|status(sK44_skl(X0,eqv),sK45_skl(X0,eqv),thm))),
% 0.14/5.43 inference(duplicate_literals_removal,[status(thm)],[f265])).
% 0.14/5.43 fof(f285,plain,(
% 0.14/5.43 isa(eqv,thm)|isa(eqv,thm)),
% 0.14/5.43 inference(resolution,[status(thm)],[f267,f185])).
% 0.14/5.43 fof(f288,definition,(
% 0.14/5.43 sQ2_spl <=> (isa(eqv,thm))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f289,plain,(
% 0.14/5.43 isa(eqv,thm)|~sQ2_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f288])).
% 0.14/5.43 fof(f291,plain,(
% 0.14/5.43 sQ2_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f285,f288])).
% 0.14/5.43 fof(f292,plain,(
% 0.14/5.43 $false|~sQ2_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f289,f240])).
% 0.14/5.43 fof(f293,plain,(
% 0.14/5.43 ~sQ2_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f292])).
% 0.14/5.43 fof(f294,plain,(
% 0.14/5.43 $false),
% 0.14/5.43 inference(sat_refutation,[status(thm)],[f291,f293])).
% 0.14/5.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.065831 seconds
% 0.14/5.44 % CPU time: 0.280103 seconds
% 0.14/5.44 % Total memory used: 23.309 MB
% 0.14/5.44 % Net memory used: 22.812 MB
%------------------------------------------------------------------------------