%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:00:29 PM UTC 2026
% Result : Theorem 3.31s 0.85s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 23:03:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 3.31/0.85 % Refutation found
% 3.31/0.85 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.31/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.31/0.85 fof(f5,axiom,(
% 3.31/0.85 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f16,axiom,(
% 3.31/0.85 (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))& (? [I2] : model(I2,C))& (? [I3] : ~ model(I3,C) ))<=> status(Ax,C,wca) ) )),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f20,axiom,(
% 3.31/0.85 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f23,axiom,(
% 3.31/0.85 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f28,axiom,(
% 3.31/0.85 (? [F] :( (? [I1] : model(I1,F))& (? [I2] : ~ model(I2,F) )) )),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f29,axiom,(
% 3.31/0.85 (? [F] :(! [I] : ~ model(I,F) ))),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f33,conjecture,(
% 3.31/0.85 mighta(wca,thm) ),
% 3.31/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.31/0.85 fof(f34,negated_conjecture,(
% 3.31/0.85 ~(mighta(wca,thm) )),
% 3.31/0.85 inference(negated_conjecture,[status(cth)],[f33])).
% 3.31/0.85 fof(f62,plain,(
% 3.31/0.85 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 3.31/0.85 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 3.31/0.85 fof(f63,plain,(
% 3.31/0.85 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 3.31/0.85 inference(NNF_transformation,[status(thm)],[f62])).
% 3.31/0.85 fof(f64,plain,(
% 3.31/0.85 (![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)))),
% 3.31/0.85 inference(miniscoping,[status(thm)],[f63])).
% 3.31/0.85 fof(f65,plain,(
% 3.31/0.85 (![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)))),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 3.31/0.85 fof(f66,plain,(
% 3.31/0.85 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f65])).
% 3.31/0.85 fof(f67,plain,(
% 3.31/0.85 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f65])).
% 3.31/0.85 fof(f68,plain,(
% 3.31/0.85 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f65])).
% 3.31/0.85 fof(f146,plain,(
% 3.31/0.85 ![Ax,C]: ((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))&(?[I3]: ~model(I3,C)))<=>status(Ax,C,wca))),
% 3.31/0.85 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 3.31/0.85 fof(f147,plain,(
% 3.31/0.85 ![Ax,C]: (((((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|(![I3]: model(I3,C)))|status(Ax,C,wca))&((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))&(?[I3]: ~model(I3,C)))|~status(Ax,C,wca)))),
% 3.31/0.85 inference(NNF_transformation,[status(thm)],[f146])).
% 3.31/0.85 fof(f148,plain,(
% 3.31/0.85 (![Ax,C]: ((((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|(![I3]: model(I3,C)))|status(Ax,C,wca)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))&(?[I3]: ~model(I3,C)))|~status(Ax,C,wca)))),
% 3.31/0.85 inference(miniscoping,[status(thm)],[f147])).
% 3.31/0.85 fof(f149,plain,(
% 3.31/0.85 (![Ax,C]: (((model(sK34_skl(C,Ax),Ax)|(![I2]: ~model(I2,C)))|(![I3]: model(I3,C)))|status(Ax,C,wca)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))&model(sK35_skl(C,Ax),C))&~model(sK36_skl(C,Ax),C))|~status(Ax,C,wca)))),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK34_skl,sK35_skl,sK36_skl]),skolemize(I1,sK34_skl(C,Ax)),skolemize(I2,sK35_skl(C,Ax)),skolemize(I3,sK36_skl(C,Ax))],[f148])).
% 3.31/0.85 fof(f150,plain,(
% 3.31/0.85 ![X0,X1,X2,X3]: (model(sK34_skl(X0,X1),X1)|~model(X2,X0)|model(X3,X0)|status(X1,X0,wca))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f149])).
% 3.31/0.85 fof(f151,plain,(
% 3.31/0.85 ![X0,X1,X2]: (~model(X0,X1)|~status(X1,X2,wca))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f149])).
% 3.31/0.85 fof(f174,plain,(
% 3.31/0.85 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 3.31/0.85 inference(NNF_transformation,[status(thm)],[f20])).
% 3.31/0.85 fof(f175,plain,(
% 3.31/0.85 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|~mighta(S1,S2)))),
% 3.31/0.85 inference(miniscoping,[status(thm)],[f174])).
% 3.31/0.85 fof(f176,plain,(
% 3.31/0.85 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|mighta(S1,S2)))&(![S1,S2]: ((status(sK42_skl(S2,S1),sK43_skl(S2,S1),S1)&status(sK42_skl(S2,S1),sK43_skl(S2,S1),S2))|~mighta(S1,S2)))),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 3.31/0.85 fof(f177,plain,(
% 3.31/0.85 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f176])).
% 3.31/0.85 fof(f193,plain,(
% 3.31/0.85 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 3.31/0.85 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 3.31/0.85 fof(f194,plain,(
% 3.31/0.85 ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 3.31/0.85 inference(NNF_transformation,[status(thm)],[f193])).
% 3.31/0.85 fof(f195,plain,(
% 3.31/0.85 (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&status(Ax,C,S2)))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 3.31/0.85 inference(miniscoping,[status(thm)],[f194])).
% 3.31/0.85 fof(f196,plain,(
% 3.31/0.85 (![S1,S2]: ((status(sK48_skl(S2,S1),sK49_skl(S2,S1),S1)&status(sK48_skl(S2,S1),sK49_skl(S2,S1),S2))|nevera(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))|~nevera(S1,S2)))),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 3.31/0.85 fof(f197,plain,(
% 3.31/0.85 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f196])).
% 3.31/0.85 fof(f198,plain,(
% 3.31/0.85 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f196])).
% 3.31/0.85 fof(f199,plain,(
% 3.31/0.85 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f196])).
% 3.31/0.85 fof(f217,plain,(
% 3.31/0.85 (model(sK54_skl,sK53_skl)&~model(sK55_skl,sK53_skl))),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK53_skl,sK54_skl,sK55_skl]),skolemize(F,sK53_skl),skolemize(I1,sK54_skl),skolemize(I2,sK55_skl)],[f28])).
% 3.31/0.85 fof(f218,plain,(
% 3.31/0.85 model(sK54_skl,sK53_skl)),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f217])).
% 3.31/0.85 fof(f219,plain,(
% 3.31/0.85 ~model(sK55_skl,sK53_skl)),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f217])).
% 3.31/0.85 fof(f220,plain,(
% 3.31/0.85 ![I]: ~model(I,sK56_skl)),
% 3.31/0.85 inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29])).
% 3.31/0.85 fof(f221,plain,(
% 3.31/0.85 ![X0]: (~model(X0,sK56_skl))),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f220])).
% 3.31/0.85 fof(f240,plain,(
% 3.31/0.85 ~mighta(wca,thm)),
% 3.31/0.85 inference(cnf_transformation,[status(thm)],[f34])).
% 3.31/0.85 fof(f273,plain,(
% 3.31/0.85 ![X0]: (~model(sK55_skl,X0)|~status(X0,sK53_skl,thm))),
% 3.31/0.85 inference(resolution,[status(thm)],[f219,f68])).
% 3.31/0.85 fof(f327,plain,(
% 3.31/0.85 ![X0,X1,X2]: (status(X0,X1,thm)|~status(X0,X2,wca))),
% 3.31/0.85 inference(resolution,[status(thm)],[f66,f151])).
% 3.31/0.85 fof(f328,plain,(
% 3.31/0.85 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 3.31/0.85 inference(resolution,[status(thm)],[f67,f66])).
% 3.31/0.85 fof(f330,plain,(
% 3.31/0.85 ![X0]: (status(X0,X0,thm))),
% 3.31/0.85 inference(duplicate_literals_removal,[status(thm)],[f328])).
% 3.31/0.85 fof(f618,definition,(
% 3.31/0.85 ![X0]: (sQ35_spl <=> (model(X0,sK53_skl)))),
% 3.31/0.85 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 3.31/0.85 fof(f619,plain,(
% 3.31/0.85 ![X0]: (model(X0,sK53_skl)|~sQ35_spl)),
% 3.31/0.85 inference(component_clause,[status(thm)],[f618])).
% 3.31/0.85 fof(f644,plain,(
% 3.31/0.85 ~model(sK55_skl,sK53_skl)),
% 3.31/0.85 inference(resolution,[status(thm)],[f273,f330])).
% 3.31/0.85 fof(f645,plain,(
% 3.31/0.85 $false|~sQ35_spl),
% 3.31/0.85 inference(forward_subsumption_resolution,[status(thm)],[f644,f619])).
% 3.31/0.85 fof(f646,plain,(
% 3.31/0.85 ~sQ35_spl),
% 3.31/0.85 inference(contradiction_clause,[status(thm)],[f645])).
% 3.31/0.85 fof(f1029,plain,(
% 3.31/0.85 ![X0,X1,X2,X3,X4]: (model(sK34_skl(X0,X1),X1)|model(X2,X0)|status(X1,X0,wca)|~model(X3,X4)|~status(X4,X0,thm))),
% 3.31/0.85 inference(resolution,[status(thm)],[f150,f68])).
% 3.31/0.86 fof(f1841,plain,(
% 3.31/0.86 ![X0,X1,X2]: (nevera(X0,X1)|~status(sK48_skl(X1,X0),sK49_skl(X1,X0),X2)|mighta(X2,X0))),
% 3.31/0.86 inference(resolution,[status(thm)],[f197,f177])).
% 3.31/0.86 fof(f1909,plain,(
% 3.31/0.86 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0)|nevera(X0,X1))),
% 3.31/0.86 inference(resolution,[status(thm)],[f1841,f198])).
% 3.31/0.86 fof(f1912,plain,(
% 3.31/0.86 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0))),
% 3.31/0.86 inference(duplicate_literals_removal,[status(thm)],[f1909])).
% 3.31/0.86 fof(f2574,plain,(
% 3.31/0.86 nevera(thm,wca)),
% 3.31/0.86 inference(resolution,[status(thm)],[f1912,f240])).
% 3.31/0.86 fof(f2577,plain,(
% 3.31/0.86 ![X0,X1]: (~status(X0,X1,thm)|~status(X0,X1,wca))),
% 3.31/0.86 inference(resolution,[status(thm)],[f2574,f199])).
% 3.31/0.86 fof(f2578,plain,(
% 3.31/0.86 ![X0,X1]: (~status(X0,X1,wca))),
% 3.31/0.86 inference(forward_subsumption_resolution,[status(thm)],[f2577,f327])).
% 3.31/0.86 fof(f2583,plain,(
% 3.31/0.86 ![X0,X1,X2,X3,X4]: (model(sK34_skl(X0,X1),X1)|model(X2,X0)|~model(X3,X4)|~status(X4,X0,thm))),
% 3.31/0.86 inference(backward_subsumption_resolution,[status(thm)],[f1029,f2578])).
% 3.31/0.86 fof(f2647,plain,(
% 3.31/0.86 ![X0,X1,X2,X3]: (model(sK34_skl(X0,X1),X1)|model(X2,X0)|~model(X3,X0))),
% 3.31/0.86 inference(resolution,[status(thm)],[f2583,f330])).
% 3.31/0.86 fof(f2855,plain,(
% 3.31/0.86 ![X0,X1]: (model(sK34_skl(sK53_skl,X0),X0)|model(X1,sK53_skl))),
% 3.31/0.86 inference(resolution,[status(thm)],[f2647,f218])).
% 3.31/0.86 fof(f2860,definition,(
% 3.31/0.86 ![X0]: (sQ176_spl <=> (model(sK34_skl(sK53_skl,X0),X0)))),
% 3.31/0.86 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 3.31/0.86 fof(f2861,plain,(
% 3.31/0.86 ![X0]: (model(sK34_skl(sK53_skl,X0),X0)|~sQ176_spl)),
% 3.31/0.86 inference(component_clause,[status(thm)],[f2860])).
% 3.31/0.86 fof(f2891,plain,(
% 3.31/0.86 sQ176_spl|sQ35_spl),
% 3.31/0.86 inference(split_clause,[status(thm)],[f2855,f2860,f618])).
% 3.31/0.86 fof(f2989,plain,(
% 3.31/0.86 $false|~sQ176_spl),
% 3.31/0.86 inference(resolution,[status(thm)],[f2861,f221])).
% 3.31/0.86 fof(f3000,plain,(
% 3.31/0.86 ~sQ176_spl),
% 3.31/0.86 inference(contradiction_clause,[status(thm)],[f2989])).
% 3.31/0.86 fof(f3001,plain,(
% 3.31/0.86 $false),
% 3.31/0.86 inference(sat_refutation,[status(thm)],[f646,f2891,f3000])).
% 3.31/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 3.31/0.87 % Elapsed time: 0.499694 seconds
% 3.31/0.87 % CPU time: 3.665202 seconds
% 3.31/0.87 % Total memory used: 57.707 MB
% 3.31/0.87 % Net memory used: 52.038 MB
%------------------------------------------------------------------------------