%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS261+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 : n002.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 5.38s 1.14s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS261+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n002.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 20 23:03:02 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 5.38/1.14 % Refutation found
% 5.38/1.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.38/1.14 % SZS output start CNFRefutation for theBenchmark
% 5.38/1.14 fof(f5,axiom,(
% 5.38/1.14 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f9,axiom,(
% 5.38/1.14 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (? [I2] : ~ model(I2,Ax))& (! [I3] :( model(I3,Ax)<=> model(I3,C) ) ))<=> status(Ax,C,eth) ) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f20,axiom,(
% 5.38/1.14 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f23,axiom,(
% 5.38/1.14 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f25,axiom,(
% 5.38/1.14 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f29,axiom,(
% 5.38/1.14 (? [F] :(! [I] : ~ model(I,F) ))),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f31,axiom,(
% 5.38/1.14 (? [Ax,C] :( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( ~ model(I3,Ax)& model(I3,C) ))& (? [I4] : ~ model(I4,C) )) )),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f33,conjecture,(
% 5.38/1.14 mighta(eth,thm) ),
% 5.38/1.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.38/1.14 fof(f34,negated_conjecture,(
% 5.38/1.14 ~(mighta(eth,thm) )),
% 5.38/1.14 inference(negated_conjecture,[status(cth)],[f33])).
% 5.38/1.14 fof(f62,plain,(
% 5.38/1.14 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 5.38/1.14 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 5.38/1.14 fof(f63,plain,(
% 5.38/1.14 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 5.38/1.14 inference(NNF_transformation,[status(thm)],[f62])).
% 5.38/1.14 fof(f64,plain,(
% 5.38/1.14 (![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)))),
% 5.38/1.14 inference(miniscoping,[status(thm)],[f63])).
% 5.38/1.14 fof(f65,plain,(
% 5.38/1.14 (![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)))),
% 5.38/1.14 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 5.38/1.14 fof(f66,plain,(
% 5.38/1.14 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 5.38/1.14 inference(cnf_transformation,[status(thm)],[f65])).
% 5.38/1.14 fof(f67,plain,(
% 5.38/1.14 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 5.38/1.14 inference(cnf_transformation,[status(thm)],[f65])).
% 5.38/1.14 fof(f68,plain,(
% 5.38/1.14 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 5.38/1.14 inference(cnf_transformation,[status(thm)],[f65])).
% 5.38/1.14 fof(f93,plain,(
% 5.38/1.14 ![Ax,C]: (((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|(?[I3]: ((~model(I3,Ax)|~model(I3,C))&(model(I3,Ax)|model(I3,C)))))|status(Ax,C,eth))&((((?[I1]: model(I1,Ax))&(?[I2]: ~model(I2,Ax)))&(![I3]: ((~model(I3,Ax)|model(I3,C))&(model(I3,Ax)|~model(I3,C)))))|~status(Ax,C,eth)))),
% 5.38/1.14 inference(NNF_transformation,[status(thm)],[f9])).
% 5.38/1.15 fof(f94,plain,(
% 5.38/1.15 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|(?[I3]: ((~model(I3,Ax)|~model(I3,C))&(model(I3,Ax)|model(I3,C)))))|status(Ax,C,eth)))&(![Ax,C]: ((((?[I1]: model(I1,Ax))&(?[I2]: ~model(I2,Ax)))&((![I3]: (~model(I3,Ax)|model(I3,C)))&(![I3]: (model(I3,Ax)|~model(I3,C)))))|~status(Ax,C,eth)))),
% 5.38/1.15 inference(miniscoping,[status(thm)],[f93])).
% 5.38/1.15 fof(f95,plain,(
% 5.38/1.15 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: model(I2,Ax)))|((~model(sK17_skl(C,Ax),Ax)|~model(sK17_skl(C,Ax),C))&(model(sK17_skl(C,Ax),Ax)|model(sK17_skl(C,Ax),C))))|status(Ax,C,eth)))&(![Ax,C]: (((model(sK18_skl(C,Ax),Ax)&~model(sK19_skl(C,Ax),Ax))&((![I3]: (~model(I3,Ax)|model(I3,C)))&(![I3]: (model(I3,Ax)|~model(I3,C)))))|~status(Ax,C,eth)))),
% 5.38/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl]),skolemize(I3,sK17_skl(C,Ax)),skolemize(I1,sK18_skl(C,Ax)),skolemize(I2,sK19_skl(C,Ax))],[f94])).
% 5.38/1.15 fof(f96,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|~model(sK17_skl(X3,X1),X1)|~model(sK17_skl(X3,X1),X3)|status(X1,X3,eth))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f95])).
% 5.38/1.15 fof(f97,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|model(sK17_skl(X3,X1),X1)|model(sK17_skl(X3,X1),X3)|status(X1,X3,eth))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f95])).
% 5.38/1.15 fof(f100,plain,(
% 5.38/1.15 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,eth))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f95])).
% 5.38/1.15 fof(f174,plain,(
% 5.38/1.15 ![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)))),
% 5.38/1.15 inference(NNF_transformation,[status(thm)],[f20])).
% 5.38/1.15 fof(f175,plain,(
% 5.38/1.15 (![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)))),
% 5.38/1.15 inference(miniscoping,[status(thm)],[f174])).
% 5.38/1.15 fof(f176,plain,(
% 5.38/1.15 (![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)))),
% 5.38/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 5.38/1.15 fof(f177,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f176])).
% 5.38/1.15 fof(f193,plain,(
% 5.38/1.15 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 5.38/1.15 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 5.38/1.15 fof(f194,plain,(
% 5.38/1.15 ![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)))),
% 5.38/1.15 inference(NNF_transformation,[status(thm)],[f193])).
% 5.38/1.15 fof(f195,plain,(
% 5.38/1.15 (![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)))),
% 5.38/1.15 inference(miniscoping,[status(thm)],[f194])).
% 5.38/1.15 fof(f196,plain,(
% 5.38/1.15 (![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)))),
% 5.38/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 5.38/1.15 fof(f197,plain,(
% 5.38/1.15 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f196])).
% 5.38/1.15 fof(f198,plain,(
% 5.38/1.15 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f196])).
% 5.38/1.15 fof(f199,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f196])).
% 5.38/1.15 fof(f207,plain,(
% 5.38/1.15 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 5.38/1.15 inference(NNF_transformation,[status(thm)],[f25])).
% 5.38/1.15 fof(f208,plain,(
% 5.38/1.15 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 5.38/1.15 inference(miniscoping,[status(thm)],[f207])).
% 5.38/1.15 fof(f209,plain,(
% 5.38/1.15 ![X0,X1]: (model(X0,X1)|model(X0,not(X1)))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f208])).
% 5.38/1.15 fof(f210,plain,(
% 5.38/1.15 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f208])).
% 5.38/1.15 fof(f220,plain,(
% 5.38/1.15 ![I]: ~model(I,sK56_skl)),
% 5.38/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29])).
% 5.38/1.15 fof(f221,plain,(
% 5.38/1.15 ![X0]: (~model(X0,sK56_skl))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f220])).
% 5.38/1.15 fof(f227,plain,(
% 5.38/1.15 ?[Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C))))&(?[I4]: ~model(I4,C)))),
% 5.38/1.15 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 5.38/1.15 fof(f228,plain,(
% 5.38/1.15 ?[C]: ((?[Ax]: (((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C)))))&(?[I4]: ~model(I4,C)))),
% 5.38/1.15 inference(miniscoping,[status(thm)],[f227])).
% 5.38/1.15 fof(f229,plain,(
% 5.38/1.15 (((model(sK64_skl,sK63_skl)&(![I2]: (~model(I2,sK63_skl)|model(I2,sK62_skl))))&(~model(sK65_skl,sK63_skl)&model(sK65_skl,sK62_skl)))&~model(sK66_skl,sK62_skl))),
% 5.38/1.15 inference(skolemize,[status(esa),new_symbols(skolem,[sK62_skl,sK63_skl,sK64_skl,sK65_skl,sK66_skl]),skolemize(C,sK62_skl),skolemize(Ax,sK63_skl),skolemize(I1,sK64_skl),skolemize(I3,sK65_skl),skolemize(I4,sK66_skl)],[f228])).
% 5.38/1.15 fof(f230,plain,(
% 5.38/1.15 model(sK64_skl,sK63_skl)),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f229])).
% 5.38/1.15 fof(f231,plain,(
% 5.38/1.15 ![X0]: (~model(X0,sK63_skl)|model(X0,sK62_skl))),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f229])).
% 5.38/1.15 fof(f234,plain,(
% 5.38/1.15 ~model(sK66_skl,sK62_skl)),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f229])).
% 5.38/1.15 fof(f240,plain,(
% 5.38/1.15 ~mighta(eth,thm)),
% 5.38/1.15 inference(cnf_transformation,[status(thm)],[f34])).
% 5.38/1.15 fof(f317,plain,(
% 5.38/1.15 ![X0,X1,X2]: (model(X0,X1)|model(X0,X2)|~status(not(X1),X2,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f209,f68])).
% 5.38/1.15 fof(f322,plain,(
% 5.38/1.15 ![X0,X1,X2]: (status(X0,X1,thm)|model(sK9_skl(X1,X0),X2)|~status(X0,X2,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f66,f68])).
% 5.38/1.15 fof(f323,plain,(
% 5.38/1.15 ![X0,X1,X2]: (status(X0,X1,thm)|model(sK9_skl(X1,X0),X2)|~status(X0,X2,eth))),
% 5.38/1.15 inference(resolution,[status(thm)],[f66,f100])).
% 5.38/1.15 fof(f373,plain,(
% 5.38/1.15 ![X0,X1,X2]: (~model(sK9_skl(X0,X1),X2)|~status(X2,X0,thm)|status(X1,X0,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f68,f67])).
% 5.38/1.15 fof(f380,plain,(
% 5.38/1.15 ![X0,X1,X2]: (nevera(X0,X1)|~status(sK48_skl(X1,X0),sK49_skl(X1,X0),X2)|mighta(X2,X0))),
% 5.38/1.15 inference(resolution,[status(thm)],[f197,f177])).
% 5.38/1.15 fof(f398,plain,(
% 5.38/1.15 ![X0,X1]: (status(X0,X1,thm)|~status(X0,X1,eth)|status(X0,X1,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f323,f67])).
% 5.38/1.15 fof(f399,plain,(
% 5.38/1.15 ![X0,X1]: (status(X0,X1,thm)|~status(X0,X1,eth))),
% 5.38/1.15 inference(duplicate_literals_removal,[status(thm)],[f398])).
% 5.38/1.15 fof(f428,plain,(
% 5.38/1.15 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0)|nevera(X0,X1))),
% 5.38/1.15 inference(resolution,[status(thm)],[f380,f198])).
% 5.38/1.15 fof(f430,plain,(
% 5.38/1.15 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0))),
% 5.38/1.15 inference(duplicate_literals_removal,[status(thm)],[f428])).
% 5.38/1.15 fof(f432,plain,(
% 5.38/1.15 nevera(thm,eth)),
% 5.38/1.15 inference(resolution,[status(thm)],[f430,f240])).
% 5.38/1.15 fof(f603,plain,(
% 5.38/1.15 ![X0,X1]: (~status(X0,X1,thm)|~status(X0,X1,eth))),
% 5.38/1.15 inference(resolution,[status(thm)],[f432,f199])).
% 5.38/1.15 fof(f604,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|model(sK17_skl(X3,X1),X1)|model(sK17_skl(X3,X1),X3))),
% 5.38/1.15 inference(backward_subsumption_resolution,[status(thm)],[f97,f606])).
% 5.38/1.15 fof(f605,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (~model(X0,X1)|model(X2,X1)|~model(sK17_skl(X3,X1),X1)|~model(sK17_skl(X3,X1),X3))),
% 5.38/1.15 inference(backward_subsumption_resolution,[status(thm)],[f96,f606])).
% 5.38/1.15 fof(f606,plain,(
% 5.38/1.15 ![X0,X1]: (~status(X0,X1,eth))),
% 5.38/1.15 inference(forward_subsumption_resolution,[status(thm)],[f603,f399])).
% 5.38/1.15 fof(f644,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (model(X0,X1)|model(sK17_skl(X2,X1),X1)|model(sK17_skl(X2,X1),X2)|status(X1,X3,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f604,f66])).
% 5.38/1.15 fof(f662,plain,(
% 5.38/1.15 ![X0,X1,X2]: (status(X0,X1,thm)|~status(X0,X2,thm)|~status(X2,X1,thm)|status(X0,X1,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f322,f373])).
% 5.38/1.15 fof(f665,plain,(
% 5.38/1.15 ![X0,X1,X2]: (status(X0,X1,thm)|~status(X0,X2,thm)|~status(X2,X1,thm))),
% 5.38/1.15 inference(duplicate_literals_removal,[status(thm)],[f662])).
% 5.38/1.15 fof(f844,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (status(X0,X1,thm)|~model(X2,X0)|model(X3,X0)|~model(sK17_skl(X0,X0),X0))),
% 5.38/1.15 inference(resolution,[status(thm)],[f644,f605])).
% 5.38/1.15 fof(f863,plain,(
% 5.38/1.15 ![X0,X1,X2]: (model(X0,X1)|model(sK17_skl(sK56_skl,X1),X1)|status(X1,X2,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f644,f221])).
% 5.38/1.15 fof(f885,plain,(
% 5.38/1.15 ![X0,X1]: (model(sK17_skl(X0,X0),X0)|status(X0,X1,thm))),
% 5.38/1.15 inference(factoring,[status(thm)],[f644])).
% 5.38/1.15 fof(f907,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (status(X0,X1,thm)|~model(X2,X0)|model(X3,X0))),
% 5.38/1.15 inference(backward_subsumption_resolution,[status(thm)],[f844,f885])).
% 5.38/1.15 fof(f909,plain,(
% 5.38/1.15 ![X0,X1,X2]: (model(X0,X1)|status(X1,X2,thm))),
% 5.38/1.15 inference(backward_subsumption_resolution,[status(thm)],[f863,f907])).
% 5.38/1.15 fof(f923,plain,(
% 5.38/1.15 ![X0,X1,X2]: (status(X0,X1,thm)|status(X2,X0,thm))),
% 5.38/1.15 inference(resolution,[status(thm)],[f909,f67])).
% 5.38/1.15 fof(f941,plain,(
% 5.38/1.15 ![X0,X1,X2,X3]: (model(X0,X1)|status(X2,X3,thm)|~status(X2,X1,thm))),
% 5.38/1.16 inference(resolution,[status(thm)],[f909,f665])).
% 5.38/1.16 fof(f955,plain,(
% 5.38/1.16 ![X0,X1,X2,X3]: (status(X0,not(X1),thm)|model(X2,X1)|model(X2,X3))),
% 5.38/1.16 inference(resolution,[status(thm)],[f923,f317])).
% 5.38/1.16 fof(f992,definition,(
% 5.38/1.16 ![X0,X1]: (sQ34_spl <=> (status(X0,X1,thm)))),
% 5.38/1.16 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 5.38/1.16 fof(f993,plain,(
% 5.38/1.16 ![X0,X1]: (status(X0,X1,thm)|~sQ34_spl)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f992])).
% 5.38/1.16 fof(f1016,plain,(
% 5.38/1.16 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~sQ34_spl)),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f68,f993])).
% 5.38/1.16 fof(f1017,plain,(
% 5.38/1.16 ![X0,X1,X2]: (model(X0,X1)|model(X0,X2)|~sQ34_spl)),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f317,f993])).
% 5.38/1.16 fof(f1034,plain,(
% 5.38/1.16 ![X0,X1]: (~model(X0,not(X1))|~sQ34_spl)),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f210,f1016])).
% 5.38/1.16 fof(f1064,plain,(
% 5.38/1.16 ![X0,X1]: (model(X0,X1)|~sQ34_spl)),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1017,f1016])).
% 5.38/1.16 fof(f1112,plain,(
% 5.38/1.16 $false|~sQ34_spl),
% 5.38/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1034,f1064])).
% 5.38/1.16 fof(f1113,plain,(
% 5.38/1.16 ~sQ34_spl),
% 5.38/1.16 inference(contradiction_clause,[status(thm)],[f1112])).
% 5.38/1.16 fof(f1118,plain,(
% 5.38/1.16 ![X0,X1,X2]: (status(X0,not(X1),thm)|model(X2,X1))),
% 5.38/1.16 inference(factoring,[status(thm)],[f955])).
% 5.38/1.16 fof(f1190,plain,(
% 5.38/1.16 ![X0,X1]: (model(X0,sK62_skl)|status(X1,not(sK63_skl),thm))),
% 5.38/1.16 inference(resolution,[status(thm)],[f231,f1118])).
% 5.38/1.16 fof(f1202,definition,(
% 5.38/1.16 ![X1]: (sQ40_spl <=> (~model(X1,sK63_skl)))),
% 5.38/1.16 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 5.38/1.16 fof(f1203,plain,(
% 5.38/1.16 ![X0]: (~model(X0,sK63_skl)|~sQ40_spl)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f1202])).
% 5.38/1.16 fof(f1206,definition,(
% 5.38/1.16 ![X0]: (sQ41_spl <=> (model(X0,sK62_skl)))),
% 5.38/1.16 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 5.38/1.16 fof(f1207,plain,(
% 5.38/1.16 ![X0]: (model(X0,sK62_skl)|~sQ41_spl)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f1206])).
% 5.38/1.16 fof(f1209,definition,(
% 5.38/1.16 ![X1]: (sQ42_spl <=> (status(X1,not(sK63_skl),thm)))),
% 5.38/1.16 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 5.38/1.16 fof(f1210,plain,(
% 5.38/1.16 ![X0]: (status(X0,not(sK63_skl),thm)|~sQ42_spl)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f1209])).
% 5.38/1.16 fof(f1212,plain,(
% 5.38/1.16 sQ41_spl|sQ42_spl),
% 5.38/1.16 inference(split_clause,[status(thm)],[f1190,f1206,f1209])).
% 5.38/1.16 fof(f1221,definition,(
% 5.38/1.16 ![X1]: (sQ45_spl <=> (model(X1,not(sK63_skl))))),
% 5.38/1.16 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 5.38/1.16 fof(f1222,plain,(
% 5.38/1.16 ![X0]: (model(X0,not(sK63_skl))|~sQ45_spl)),
% 5.38/1.16 inference(component_clause,[status(thm)],[f1221])).
% 5.38/1.16 fof(f1234,plain,(
% 5.38/1.16 $false|~sQ41_spl),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f234,f1207])).
% 5.38/1.16 fof(f1235,plain,(
% 5.38/1.16 $false|~sQ40_spl),
% 5.38/1.16 inference(backward_subsumption_resolution,[status(thm)],[f230,f1203])).
% 5.38/1.16 fof(f1236,plain,(
% 5.38/1.16 ~sQ41_spl),
% 5.38/1.16 inference(contradiction_clause,[status(thm)],[f1234])).
% 5.38/1.16 fof(f1237,plain,(
% 5.38/1.16 ~sQ40_spl),
% 5.38/1.16 inference(contradiction_clause,[status(thm)],[f1235])).
% 5.38/1.16 fof(f1264,plain,(
% 5.38/1.16 ![X0,X1,X2]: (model(X0,not(sK63_skl))|status(X1,X2,thm)|~sQ42_spl)),
% 5.38/1.16 inference(resolution,[status(thm)],[f941,f1210])).
% 5.38/1.16 fof(f1292,plain,(
% 5.38/1.16 sQ45_spl|sQ34_spl|~sQ42_spl),
% 5.38/1.16 inference(split_clause,[status(thm)],[f1264,f1221,f992,f1209])).
% 5.38/1.16 fof(f2623,plain,(
% 5.38/1.16 ![X0]: (~model(X0,sK63_skl)|~sQ45_spl)),
% 5.38/1.16 inference(resolution,[status(thm)],[f210,f1222])).
% 5.38/1.16 fof(f2635,plain,(
% 5.38/1.16 sQ40_spl|~sQ45_spl),
% 5.38/1.16 inference(split_clause,[status(thm)],[f2623,f1202,f1221])).
% 5.38/1.16 fof(f2674,plain,(
% 5.38/1.16 $false),
% 5.38/1.16 inference(sat_refutation,[status(thm)],[f1113,f1212,f1236,f1237,f1292,f2635])).
% 5.38/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 5.38/1.16 % Elapsed time: 0.759099 seconds
% 5.38/1.16 % CPU time: 5.836217 seconds
% 5.38/1.16 % Total memory used: 72.504 MB
% 5.38/1.16 % Net memory used: 62.698 MB
%------------------------------------------------------------------------------