%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS235+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 01:00:27 PM UTC 2026
% Result : Theorem 34.35s 9.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS235+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
% 0.17/5.44 % Computer : n016.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Sun Sep 20 23:02:13 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Drodi V4.1.1
% 34.35/9.96 % Refutation found
% 34.35/9.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 34.35/9.96 % SZS output start CNFRefutation for theBenchmark
% 34.35/9.96 fof(f5,axiom,(
% 34.35/9.96 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 34.35/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 34.35/9.96 fof(f19,axiom,(
% 34.35/9.96 (! [Ax,C] :( ( (? [I1] :( model(I1,Ax)& model(I1,C) ))& (? [I2] :( model(I2,Ax)& model(I2,not(C)) ) ))<=> status(Ax,C,noc) ) )),
% 34.35/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 34.35/9.96 fof(f23,axiom,(
% 34.35/9.96 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 34.35/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 34.35/9.96 fof(f25,axiom,(
% 34.35/9.96 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 34.35/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 34.35/9.96 fof(f33,conjecture,(
% 34.35/9.96 nevera(noc,thm) ),
% 34.35/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 34.35/9.96 fof(f34,negated_conjecture,(
% 34.35/9.96 ~(nevera(noc,thm) )),
% 34.35/9.96 inference(negated_conjecture,[status(cth)],[f33])).
% 34.35/9.96 fof(f62,plain,(
% 34.35/9.96 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 34.35/9.96 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 34.35/9.96 fof(f63,plain,(
% 34.35/9.96 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 34.35/9.96 inference(NNF_transformation,[status(thm)],[f62])).
% 34.35/9.96 fof(f64,plain,(
% 34.35/9.96 (![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)))),
% 34.35/9.96 inference(miniscoping,[status(thm)],[f63])).
% 34.35/9.96 fof(f65,plain,(
% 34.35/9.96 (![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)))),
% 34.35/9.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 34.35/9.96 fof(f68,plain,(
% 34.35/9.96 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 34.35/9.96 inference(cnf_transformation,[status(thm)],[f65])).
% 34.35/9.96 fof(f166,plain,(
% 34.35/9.96 ![Ax,C]: ((((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc))&(((?[I1]: (model(I1,Ax)&model(I1,C)))&(?[I2]: (model(I2,Ax)&model(I2,not(C)))))|~status(Ax,C,noc)))),
% 34.35/9.96 inference(NNF_transformation,[status(thm)],[f19])).
% 34.35/9.96 fof(f167,plain,(
% 34.35/9.96 (![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc)))&(![Ax,C]: (((?[I1]: (model(I1,Ax)&model(I1,C)))&(?[I2]: (model(I2,Ax)&model(I2,not(C)))))|~status(Ax,C,noc)))),
% 34.35/9.96 inference(miniscoping,[status(thm)],[f166])).
% 34.35/9.96 fof(f168,plain,(
% 34.35/9.96 (![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|(![I2]: (~model(I2,Ax)|~model(I2,not(C)))))|status(Ax,C,noc)))&(![Ax,C]: (((model(sK40_skl(C,Ax),Ax)&model(sK40_skl(C,Ax),C))&(model(sK41_skl(C,Ax),Ax)&model(sK41_skl(C,Ax),not(C))))|~status(Ax,C,noc)))),
% 34.35/9.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl,sK41_skl]),skolemize(I1,sK40_skl(C,Ax)),skolemize(I2,sK41_skl(C,Ax))],[f167])).
% 34.35/9.96 fof(f172,plain,(
% 34.35/9.96 ![X0,X1]: (model(sK41_skl(X0,X1),X1)|~status(X1,X0,noc))),
% 34.35/9.96 inference(cnf_transformation,[status(thm)],[f168])).
% 34.35/9.96 fof(f173,plain,(
% 34.35/9.96 ![X0,X1]: (model(sK41_skl(X0,X1),not(X0))|~status(X1,X0,noc))),
% 34.35/9.96 inference(cnf_transformation,[status(thm)],[f168])).
% 34.35/9.96 fof(f193,plain,(
% 34.35/9.96 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 34.35/9.96 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 34.35/9.96 fof(f194,plain,(
% 34.35/9.96 ![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)))),
% 34.35/9.96 inference(NNF_transformation,[status(thm)],[f193])).
% 34.35/9.96 fof(f195,plain,(
% 34.35/9.96 (![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)))),
% 34.35/9.96 inference(miniscoping,[status(thm)],[f194])).
% 34.35/9.96 fof(f196,plain,(
% 34.35/9.96 (![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)))),
% 34.35/9.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 34.35/9.98 fof(f197,plain,(
% 34.35/9.98 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 34.35/9.98 inference(cnf_transformation,[status(thm)],[f196])).
% 34.35/9.98 fof(f198,plain,(
% 34.35/9.98 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 34.35/9.98 inference(cnf_transformation,[status(thm)],[f196])).
% 34.35/9.98 fof(f207,plain,(
% 34.35/9.98 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 34.35/9.98 inference(NNF_transformation,[status(thm)],[f25])).
% 34.35/9.98 fof(f208,plain,(
% 34.35/9.98 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 34.35/9.98 inference(miniscoping,[status(thm)],[f207])).
% 34.35/9.98 fof(f210,plain,(
% 34.35/9.98 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 34.35/9.98 inference(cnf_transformation,[status(thm)],[f208])).
% 34.35/9.98 fof(f240,plain,(
% 34.35/9.98 ~nevera(noc,thm)),
% 34.35/9.98 inference(cnf_transformation,[status(thm)],[f34])).
% 34.35/9.98 fof(f272,plain,(
% 34.35/9.98 ![X0,X1]: (nevera(X0,thm)|~model(X1,sK48_skl(thm,X0))|model(X1,sK49_skl(thm,X0)))),
% 34.35/9.98 inference(resolution,[status(thm)],[f198,f68])).
% 34.35/9.98 fof(f3595,plain,(
% 34.35/9.98 ![X0]: (model(sK41_skl(sK49_skl(X0,noc),sK48_skl(X0,noc)),sK48_skl(X0,noc))|nevera(noc,X0))),
% 34.35/9.98 inference(resolution,[status(thm)],[f172,f197])).
% 34.35/9.98 fof(f3903,plain,(
% 34.35/9.98 ![X0]: (model(sK41_skl(sK49_skl(X0,noc),sK48_skl(X0,noc)),not(sK49_skl(X0,noc)))|nevera(noc,X0))),
% 34.35/9.98 inference(resolution,[status(thm)],[f173,f197])).
% 34.35/9.98 fof(f4893,plain,(
% 34.35/9.98 nevera(noc,thm)|nevera(noc,thm)|model(sK41_skl(sK49_skl(thm,noc),sK48_skl(thm,noc)),sK49_skl(thm,noc))),
% 34.35/9.98 inference(resolution,[status(thm)],[f3595,f272])).
% 34.35/9.98 fof(f4920,plain,(
% 34.35/9.98 nevera(noc,thm)|model(sK41_skl(sK49_skl(thm,noc),sK48_skl(thm,noc)),sK49_skl(thm,noc))),
% 34.35/9.98 inference(duplicate_literals_removal,[status(thm)],[f4893])).
% 34.35/9.98 fof(f4921,plain,(
% 34.35/9.98 model(sK41_skl(sK49_skl(thm,noc),sK48_skl(thm,noc)),sK49_skl(thm,noc))),
% 34.35/9.98 inference(forward_subsumption_resolution,[status(thm)],[f4920,f240])).
% 34.35/9.98 fof(f5183,plain,(
% 34.35/9.98 ![X0]: (nevera(noc,X0)|~model(sK41_skl(sK49_skl(X0,noc),sK48_skl(X0,noc)),sK49_skl(X0,noc)))),
% 34.35/9.98 inference(resolution,[status(thm)],[f3903,f210])).
% 34.35/9.98 fof(f5211,plain,(
% 34.35/9.98 nevera(noc,thm)),
% 34.35/9.98 inference(resolution,[status(thm)],[f5183,f4921])).
% 34.35/9.98 fof(f5213,plain,(
% 34.35/9.98 $false),
% 34.35/9.98 inference(forward_subsumption_resolution,[status(thm)],[f5211,f240])).
% 34.35/9.98 % SZS output end CNFRefutation for theBenchmark.p
% 34.35/10.00 % Elapsed time: 4.532775 seconds
% 34.35/10.00 % CPU time: 35.607942 seconds
% 34.35/10.00 % Total memory used: 133.353 MB
% 34.35/10.00 % Net memory used: 98.289 MB
%------------------------------------------------------------------------------