%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS265+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 : n016.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 0.15s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS265+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
% 0.15/0.46 % Computer : n016.cluster.edu
% 0.15/0.46 % Model : x86_64 x86_64
% 0.15/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.46 % Memory : 8046.5625MB
% 0.15/0.46 % OS : Linux 6.8.0-71-generic
% 0.15/0.46 % CPULimit : 300
% 0.15/0.46 % WCLimit : 300
% 0.15/0.46 % DateTime : Sun Sep 20 23:05:07 UTC 2026
% 0.15/0.47 % CPUTime :
% 0.15/0.49 % Drodi V4.1.1
% 0.15/0.54 % Refutation found
% 0.15/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.54 fof(f5,axiom,(
% 0.15/0.54 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f13,axiom,(
% 0.15/0.54 (! [Ax,C] :( ~ (? [I1] : model(I1,Ax))<=> status(Ax,C,cax) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f20,axiom,(
% 0.15/0.54 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f25,axiom,(
% 0.15/0.54 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f27,axiom,(
% 0.15/0.54 (? [F] :(! [I] : model(I,F) ))),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f33,conjecture,(
% 0.15/0.54 mighta(cax,thm) ),
% 0.15/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.54 fof(f34,negated_conjecture,(
% 0.15/0.54 ~(mighta(cax,thm) )),
% 0.15/0.54 inference(negated_conjecture,[status(cth)],[f33])).
% 0.15/0.54 fof(f62,plain,(
% 0.15/0.54 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.54 fof(f63,plain,(
% 0.15/0.54 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.15/0.54 inference(NNF_transformation,[status(thm)],[f62])).
% 0.15/0.54 fof(f64,plain,(
% 0.15/0.54 (![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)))),
% 0.15/0.54 inference(miniscoping,[status(thm)],[f63])).
% 0.15/0.54 fof(f65,plain,(
% 0.15/0.54 (![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)))),
% 0.15/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.15/0.54 fof(f66,plain,(
% 0.15/0.54 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.54 fof(f67,plain,(
% 0.15/0.54 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.54 fof(f126,plain,(
% 0.15/0.54 ![Ax,C]: ((![I1]: ~model(I1,Ax))<=>status(Ax,C,cax))),
% 0.15/0.54 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.15/0.54 fof(f127,plain,(
% 0.15/0.54 ![Ax,C]: (((?[I1]: model(I1,Ax))|status(Ax,C,cax))&((![I1]: ~model(I1,Ax))|~status(Ax,C,cax)))),
% 0.15/0.54 inference(NNF_transformation,[status(thm)],[f126])).
% 0.15/0.54 fof(f128,plain,(
% 0.15/0.54 (![Ax]: ((?[I1]: model(I1,Ax))|(![C]: status(Ax,C,cax))))&(![Ax]: ((![I1]: ~model(I1,Ax))|(![C]: ~status(Ax,C,cax))))),
% 0.15/0.54 inference(miniscoping,[status(thm)],[f127])).
% 0.15/0.54 fof(f129,plain,(
% 0.15/0.54 (![Ax]: (model(sK29_skl(Ax),Ax)|(![C]: status(Ax,C,cax))))&(![Ax]: ((![I1]: ~model(I1,Ax))|(![C]: ~status(Ax,C,cax))))),
% 0.15/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(I1,sK29_skl(Ax))],[f128])).
% 0.15/0.54 fof(f130,plain,(
% 0.15/0.54 ![X0,X1]: (model(sK29_skl(X0),X0)|status(X0,X1,cax))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f129])).
% 0.15/0.54 fof(f174,plain,(
% 0.15/0.54 ![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)))),
% 0.15/0.54 inference(NNF_transformation,[status(thm)],[f20])).
% 0.15/0.54 fof(f175,plain,(
% 0.15/0.54 (![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)))),
% 0.15/0.54 inference(miniscoping,[status(thm)],[f174])).
% 0.15/0.54 fof(f176,plain,(
% 0.15/0.54 (![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)))),
% 0.15/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.15/0.54 fof(f177,plain,(
% 0.15/0.54 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f176])).
% 0.15/0.54 fof(f207,plain,(
% 0.15/0.54 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 0.15/0.54 inference(NNF_transformation,[status(thm)],[f25])).
% 0.15/0.54 fof(f208,plain,(
% 0.15/0.54 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 0.15/0.54 inference(miniscoping,[status(thm)],[f207])).
% 0.15/0.54 fof(f210,plain,(
% 0.15/0.54 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f208])).
% 0.15/0.54 fof(f215,plain,(
% 0.15/0.54 ![I]: model(I,sK52_skl)),
% 0.15/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.15/0.54 fof(f216,plain,(
% 0.15/0.54 ![X0]: (model(X0,sK52_skl))),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f215])).
% 0.15/0.54 fof(f240,plain,(
% 0.15/0.54 ~mighta(cax,thm)),
% 0.15/0.54 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.54 fof(f259,plain,(
% 0.15/0.54 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 0.15/0.54 inference(resolution,[status(thm)],[f67,f66])).
% 0.15/0.54 fof(f260,plain,(
% 0.15/0.54 ![X0]: (status(X0,X0,thm))),
% 0.15/0.54 inference(duplicate_literals_removal,[status(thm)],[f259])).
% 0.15/0.54 fof(f263,plain,(
% 0.15/0.54 ![X0,X1]: (~status(X0,X0,X1)|mighta(X1,thm))),
% 0.15/0.54 inference(resolution,[status(thm)],[f260,f177])).
% 0.15/0.54 fof(f274,plain,(
% 0.15/0.54 ![X0]: (mighta(cax,thm)|model(sK29_skl(X0),X0))),
% 0.15/0.54 inference(resolution,[status(thm)],[f263,f130])).
% 0.15/0.54 fof(f275,plain,(
% 0.15/0.54 ![X0]: (model(sK29_skl(X0),X0))),
% 0.15/0.54 inference(forward_subsumption_resolution,[status(thm)],[f274,f240])).
% 0.15/0.54 fof(f276,plain,(
% 0.15/0.54 ![X0]: (~model(sK29_skl(not(X0)),X0))),
% 0.15/0.54 inference(resolution,[status(thm)],[f275,f210])).
% 0.15/0.54 fof(f280,plain,(
% 0.15/0.54 $false),
% 0.15/0.54 inference(resolution,[status(thm)],[f216,f276])).
% 0.15/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.087577 seconds
% 0.15/0.57 % CPU time: 0.282238 seconds
% 0.15/0.57 % Total memory used: 16.819 MB
% 0.15/0.57 % Net memory used: 16.591 MB
%------------------------------------------------------------------------------