%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS234+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 0.24s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS234+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
% 0.19/0.43 % Computer : n016.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sun Sep 20 23:02:22 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.24/0.52 % Refutation found
% 0.24/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.52 fof(f5,axiom,(
% 0.24/0.52 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f18,axiom,(
% 0.24/0.52 (! [Ax,C] :( ( (! [I1] : model(I1,Ax))& (! [I2] : model(I2,not(C)) ))<=> status(Ax,C,uns) ) )),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f23,axiom,(
% 0.24/0.52 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f25,axiom,(
% 0.24/0.52 (! [I,F] :( model(I,F)<~> model(I,not(F)) ) )),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f33,conjecture,(
% 0.24/0.52 nevera(uns,thm) ),
% 0.24/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.52 fof(f34,negated_conjecture,(
% 0.24/0.52 ~(nevera(uns,thm) )),
% 0.24/0.52 inference(negated_conjecture,[status(cth)],[f33])).
% 0.24/0.52 fof(f62,plain,(
% 0.24/0.52 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.24/0.52 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.24/0.52 fof(f63,plain,(
% 0.24/0.52 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.24/0.52 inference(NNF_transformation,[status(thm)],[f62])).
% 0.24/0.52 fof(f64,plain,(
% 0.24/0.52 (![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)))),
% 0.24/0.52 inference(miniscoping,[status(thm)],[f63])).
% 0.24/0.52 fof(f65,plain,(
% 0.24/0.52 (![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)))),
% 0.24/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.24/0.52 fof(f68,plain,(
% 0.24/0.52 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f65])).
% 0.24/0.52 fof(f160,plain,(
% 0.24/0.52 ![Ax,C]: ((((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns))&(((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 0.24/0.52 inference(NNF_transformation,[status(thm)],[f18])).
% 0.24/0.52 fof(f161,plain,(
% 0.24/0.52 (![Ax,C]: (((?[I1]: ~model(I1,Ax))|(?[I2]: ~model(I2,not(C))))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 0.24/0.52 inference(miniscoping,[status(thm)],[f160])).
% 0.24/0.52 fof(f162,plain,(
% 0.24/0.52 (![Ax,C]: ((~model(sK38_skl(C,Ax),Ax)|~model(sK39_skl(C,Ax),not(C)))|status(Ax,C,uns)))&(![Ax,C]: (((![I1]: model(I1,Ax))&(![I2]: model(I2,not(C))))|~status(Ax,C,uns)))),
% 0.24/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl]),skolemize(I1,sK38_skl(C,Ax)),skolemize(I2,sK39_skl(C,Ax))],[f161])).
% 0.24/0.52 fof(f164,plain,(
% 0.24/0.52 ![X0,X1,X2]: (model(X0,X1)|~status(X1,X2,uns))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f162])).
% 0.24/0.52 fof(f165,plain,(
% 0.24/0.52 ![X0,X1,X2]: (model(X0,not(X1))|~status(X2,X1,uns))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f162])).
% 0.24/0.52 fof(f193,plain,(
% 0.24/0.52 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 0.24/0.52 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.24/0.52 fof(f194,plain,(
% 0.24/0.52 ![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)))),
% 0.24/0.52 inference(NNF_transformation,[status(thm)],[f193])).
% 0.24/0.52 fof(f195,plain,(
% 0.24/0.52 (![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)))),
% 0.24/0.52 inference(miniscoping,[status(thm)],[f194])).
% 0.24/0.52 fof(f196,plain,(
% 0.24/0.52 (![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)))),
% 0.24/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 0.24/0.52 fof(f197,plain,(
% 0.24/0.52 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 0.24/0.52 inference(cnf_transformation,[status(thm)],[f196])).
% 0.24/0.52 fof(f198,plain,(
% 0.24/0.52 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 0.24/0.53 inference(cnf_transformation,[status(thm)],[f196])).
% 0.24/0.53 fof(f199,plain,(
% 0.24/0.53 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 0.24/0.53 inference(cnf_transformation,[status(thm)],[f196])).
% 0.24/0.53 fof(f207,plain,(
% 0.24/0.53 ![I,F]: ((model(I,F)|model(I,not(F)))&(~model(I,F)|~model(I,not(F))))),
% 0.24/0.53 inference(NNF_transformation,[status(thm)],[f25])).
% 0.24/0.53 fof(f208,plain,(
% 0.24/0.53 (![I,F]: (model(I,F)|model(I,not(F))))&(![I,F]: (~model(I,F)|~model(I,not(F))))),
% 0.24/0.53 inference(miniscoping,[status(thm)],[f207])).
% 0.24/0.53 fof(f210,plain,(
% 0.24/0.53 ![X0,X1]: (~model(X0,X1)|~model(X0,not(X1)))),
% 0.24/0.53 inference(cnf_transformation,[status(thm)],[f208])).
% 0.24/0.53 fof(f240,plain,(
% 0.24/0.53 ~nevera(uns,thm)),
% 0.24/0.53 inference(cnf_transformation,[status(thm)],[f34])).
% 0.24/0.53 fof(f261,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(thm,X0)|~model(X1,sK48_skl(X0,thm))|model(X1,sK49_skl(X0,thm)))),
% 0.24/0.53 inference(resolution,[status(thm)],[f197,f68])).
% 0.24/0.53 fof(f262,plain,(
% 0.24/0.53 ![X0,X1,X2]: (nevera(X0,X1)|~status(sK48_skl(X1,X0),sK49_skl(X1,X0),X2)|~nevera(X2,X0))),
% 0.24/0.53 inference(resolution,[status(thm)],[f197,f199])).
% 0.24/0.53 fof(f280,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(X0,X1)|nevera(X0,X1)|~nevera(X1,X0))),
% 0.24/0.53 inference(resolution,[status(thm)],[f198,f262])).
% 0.24/0.53 fof(f282,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(X0,uns)|model(X1,not(sK49_skl(uns,X0))))),
% 0.24/0.53 inference(resolution,[status(thm)],[f198,f165])).
% 0.24/0.53 fof(f283,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(X0,uns)|model(X1,sK48_skl(uns,X0)))),
% 0.24/0.53 inference(resolution,[status(thm)],[f198,f164])).
% 0.24/0.53 fof(f286,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(X0,X1)|~nevera(X1,X0))),
% 0.24/0.53 inference(duplicate_literals_removal,[status(thm)],[f280])).
% 0.24/0.53 fof(f326,plain,(
% 0.24/0.53 ![X0,X1]: (nevera(X0,uns)|~model(X1,sK49_skl(uns,X0)))),
% 0.24/0.53 inference(resolution,[status(thm)],[f282,f210])).
% 0.24/0.53 fof(f350,plain,(
% 0.24/0.53 ![X0]: (nevera(thm,uns)|nevera(thm,uns)|model(X0,sK49_skl(uns,thm)))),
% 0.24/0.53 inference(resolution,[status(thm)],[f283,f261])).
% 0.24/0.53 fof(f356,plain,(
% 0.24/0.53 ![X0]: (nevera(thm,uns)|model(X0,sK49_skl(uns,thm)))),
% 0.24/0.53 inference(duplicate_literals_removal,[status(thm)],[f350])).
% 0.24/0.53 fof(f357,plain,(
% 0.24/0.53 nevera(thm,uns)),
% 0.24/0.53 inference(forward_subsumption_resolution,[status(thm)],[f356,f326])).
% 0.24/0.53 fof(f366,plain,(
% 0.24/0.53 nevera(uns,thm)),
% 0.24/0.53 inference(resolution,[status(thm)],[f357,f286])).
% 0.24/0.53 fof(f367,plain,(
% 0.24/0.53 $false),
% 0.24/0.53 inference(forward_subsumption_resolution,[status(thm)],[f366,f240])).
% 0.24/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.55 % Elapsed time: 0.110708 seconds
% 0.24/0.55 % CPU time: 0.522994 seconds
% 0.24/0.55 % Total memory used: 24.542 MB
% 0.24/0.55 % Net memory used: 23.855 MB
%------------------------------------------------------------------------------