%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS258+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 : n015.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 1.04s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS258+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:03:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 1.04/0.58 % Refutation found
% 1.04/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.04/0.58 % SZS output start CNFRefutation for theBenchmark
% 1.04/0.58 fof(f5,axiom,(
% 1.04/0.58 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f6,axiom,(
% 1.04/0.58 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)<=> model(I2,C) ) ))<=> status(Ax,C,eqv) ) )),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f20,axiom,(
% 1.04/0.58 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f23,axiom,(
% 1.04/0.58 (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> ~ status(Ax,C,S2) ))<=> nevera(S1,S2) ) )),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f27,axiom,(
% 1.04/0.58 (? [F] :(! [I] : model(I,F) ))),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f29,axiom,(
% 1.04/0.58 (? [F] :(! [I] : ~ model(I,F) ))),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f33,conjecture,(
% 1.04/0.58 mighta(eqv,thm) ),
% 1.04/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.58 fof(f34,negated_conjecture,(
% 1.04/0.58 ~(mighta(eqv,thm) )),
% 1.04/0.58 inference(negated_conjecture,[status(cth)],[f33])).
% 1.04/0.58 fof(f62,plain,(
% 1.04/0.58 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 1.04/0.58 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 1.04/0.58 fof(f63,plain,(
% 1.04/0.58 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 1.04/0.58 inference(NNF_transformation,[status(thm)],[f62])).
% 1.04/0.58 fof(f64,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(miniscoping,[status(thm)],[f63])).
% 1.04/0.58 fof(f65,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 1.04/0.58 fof(f66,plain,(
% 1.04/0.58 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f65])).
% 1.04/0.58 fof(f67,plain,(
% 1.04/0.58 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f65])).
% 1.04/0.58 fof(f68,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f65])).
% 1.04/0.58 fof(f69,plain,(
% 1.04/0.58 ![Ax,C]: ((((![I1]: ~model(I1,Ax))|(?[I2]: ((~model(I2,Ax)|~model(I2,C))&(model(I2,Ax)|model(I2,C)))))|status(Ax,C,eqv))&(((?[I1]: model(I1,Ax))&(![I2]: ((~model(I2,Ax)|model(I2,C))&(model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 1.04/0.58 inference(NNF_transformation,[status(thm)],[f6])).
% 1.04/0.58 fof(f70,plain,(
% 1.04/0.58 (![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: ((~model(I2,Ax)|~model(I2,C))&(model(I2,Ax)|model(I2,C)))))|status(Ax,C,eqv)))&(![Ax,C]: (((?[I1]: model(I1,Ax))&((![I2]: (~model(I2,Ax)|model(I2,C)))&(![I2]: (model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 1.04/0.58 inference(miniscoping,[status(thm)],[f69])).
% 1.04/0.58 fof(f71,plain,(
% 1.04/0.58 (![Ax,C]: (((![I1]: ~model(I1,Ax))|((~model(sK10_skl(C,Ax),Ax)|~model(sK10_skl(C,Ax),C))&(model(sK10_skl(C,Ax),Ax)|model(sK10_skl(C,Ax),C))))|status(Ax,C,eqv)))&(![Ax,C]: ((model(sK11_skl(C,Ax),Ax)&((![I2]: (~model(I2,Ax)|model(I2,C)))&(![I2]: (model(I2,Ax)|~model(I2,C)))))|~status(Ax,C,eqv)))),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(I2,sK10_skl(C,Ax)),skolemize(I1,sK11_skl(C,Ax))],[f70])).
% 1.04/0.58 fof(f72,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|~model(sK10_skl(X2,X1),X1)|~model(sK10_skl(X2,X1),X2)|status(X1,X2,eqv))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f71])).
% 1.04/0.58 fof(f73,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|model(sK10_skl(X2,X1),X1)|model(sK10_skl(X2,X1),X2)|status(X1,X2,eqv))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f71])).
% 1.04/0.58 fof(f75,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,eqv))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f71])).
% 1.04/0.58 fof(f174,plain,(
% 1.04/0.58 ![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)))),
% 1.04/0.58 inference(NNF_transformation,[status(thm)],[f20])).
% 1.04/0.58 fof(f175,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(miniscoping,[status(thm)],[f174])).
% 1.04/0.58 fof(f176,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 1.04/0.58 fof(f177,plain,(
% 1.04/0.58 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f176])).
% 1.04/0.58 fof(f193,plain,(
% 1.04/0.58 ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|~status(Ax,C,S2)))<=>nevera(S1,S2))),
% 1.04/0.58 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 1.04/0.58 fof(f194,plain,(
% 1.04/0.58 ![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)))),
% 1.04/0.58 inference(NNF_transformation,[status(thm)],[f193])).
% 1.04/0.58 fof(f195,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(miniscoping,[status(thm)],[f194])).
% 1.04/0.58 fof(f196,plain,(
% 1.04/0.58 (![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)))),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK48_skl,sK49_skl]),skolemize(Ax,sK48_skl(S2,S1)),skolemize(C,sK49_skl(S2,S1))],[f195])).
% 1.04/0.58 fof(f197,plain,(
% 1.04/0.58 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X1)|nevera(X1,X0))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f196])).
% 1.04/0.58 fof(f198,plain,(
% 1.04/0.58 ![X0,X1]: (status(sK48_skl(X0,X1),sK49_skl(X0,X1),X0)|nevera(X1,X0))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f196])).
% 1.04/0.58 fof(f199,plain,(
% 1.04/0.58 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|~nevera(X2,X3))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f196])).
% 1.04/0.58 fof(f215,plain,(
% 1.04/0.58 ![I]: model(I,sK52_skl)),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 1.04/0.58 fof(f216,plain,(
% 1.04/0.58 ![X0]: (model(X0,sK52_skl))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f215])).
% 1.04/0.58 fof(f220,plain,(
% 1.04/0.58 ![I]: ~model(I,sK56_skl)),
% 1.04/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK56_skl]),skolemize(F,sK56_skl)],[f29])).
% 1.04/0.58 fof(f221,plain,(
% 1.04/0.58 ![X0]: (~model(X0,sK56_skl))),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f220])).
% 1.04/0.58 fof(f240,plain,(
% 1.04/0.58 ~mighta(eqv,thm)),
% 1.04/0.58 inference(cnf_transformation,[status(thm)],[f34])).
% 1.04/0.58 fof(f323,plain,(
% 1.04/0.58 ![X0,X1,X2]: (status(X0,X1,thm)|model(sK9_skl(X1,X0),X2)|~status(X0,X2,eqv))),
% 1.04/0.58 inference(resolution,[status(thm)],[f66,f75])).
% 1.04/0.58 fof(f380,plain,(
% 1.04/0.58 ![X0,X1,X2]: (nevera(X0,X1)|~status(sK48_skl(X1,X0),sK49_skl(X1,X0),X2)|mighta(X2,X0))),
% 1.04/0.58 inference(resolution,[status(thm)],[f197,f177])).
% 1.04/0.58 fof(f398,plain,(
% 1.04/0.58 ![X0,X1]: (status(X0,X1,thm)|~status(X0,X1,eqv)|status(X0,X1,thm))),
% 1.04/0.58 inference(resolution,[status(thm)],[f323,f67])).
% 1.04/0.58 fof(f399,plain,(
% 1.04/0.58 ![X0,X1]: (status(X0,X1,thm)|~status(X0,X1,eqv))),
% 1.04/0.58 inference(duplicate_literals_removal,[status(thm)],[f398])).
% 1.04/0.58 fof(f428,plain,(
% 1.04/0.58 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0)|nevera(X0,X1))),
% 1.04/0.58 inference(resolution,[status(thm)],[f380,f198])).
% 1.04/0.58 fof(f430,plain,(
% 1.04/0.58 ![X0,X1]: (nevera(X0,X1)|mighta(X1,X0))),
% 1.04/0.58 inference(duplicate_literals_removal,[status(thm)],[f428])).
% 1.04/0.58 fof(f432,plain,(
% 1.04/0.58 nevera(thm,eqv)),
% 1.04/0.58 inference(resolution,[status(thm)],[f430,f240])).
% 1.04/0.58 fof(f603,plain,(
% 1.04/0.58 ![X0,X1]: (~status(X0,X1,thm)|~status(X0,X1,eqv))),
% 1.04/0.58 inference(resolution,[status(thm)],[f432,f199])).
% 1.04/0.58 fof(f604,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|model(sK10_skl(X2,X1),X1)|model(sK10_skl(X2,X1),X2))),
% 1.04/0.58 inference(backward_subsumption_resolution,[status(thm)],[f73,f606])).
% 1.04/0.58 fof(f605,plain,(
% 1.04/0.58 ![X0,X1,X2]: (~model(X0,X1)|~model(sK10_skl(X2,X1),X1)|~model(sK10_skl(X2,X1),X2))),
% 1.04/0.59 inference(backward_subsumption_resolution,[status(thm)],[f72,f606])).
% 1.04/0.59 fof(f606,plain,(
% 1.04/0.59 ![X0,X1]: (~status(X0,X1,eqv))),
% 1.04/0.59 inference(forward_subsumption_resolution,[status(thm)],[f603,f399])).
% 1.04/0.59 fof(f644,plain,(
% 1.04/0.59 ![X0,X1,X2]: (model(sK10_skl(X0,X1),X1)|model(sK10_skl(X0,X1),X0)|status(X1,X2,thm))),
% 1.04/0.59 inference(resolution,[status(thm)],[f604,f66])).
% 1.04/0.59 fof(f813,plain,(
% 1.04/0.59 ![X0,X1]: (~model(X0,X1)|~status(X1,sK56_skl,thm))),
% 1.04/0.59 inference(resolution,[status(thm)],[f221,f68])).
% 1.04/0.59 fof(f866,plain,(
% 1.04/0.59 ![X0,X1,X2]: (status(X0,X1,thm)|~model(X2,X0)|~model(sK10_skl(X0,X0),X0))),
% 1.04/0.59 inference(resolution,[status(thm)],[f644,f605])).
% 1.04/0.59 fof(f898,plain,(
% 1.04/0.59 ![X0,X1]: (model(sK10_skl(X0,X0),X0)|status(X0,X1,thm))),
% 1.04/0.59 inference(factoring,[status(thm)],[f644])).
% 1.04/0.59 fof(f910,plain,(
% 1.04/0.59 ![X0,X1,X2]: (status(X0,X1,thm)|~model(X2,X0))),
% 1.04/0.59 inference(backward_subsumption_resolution,[status(thm)],[f866,f898])).
% 1.04/0.59 fof(f914,plain,(
% 1.04/0.59 ![X0,X1]: (~model(X0,X1))),
% 1.04/0.59 inference(backward_subsumption_resolution,[status(thm)],[f813,f910])).
% 1.04/0.59 fof(f958,plain,(
% 1.04/0.59 $false),
% 1.04/0.59 inference(backward_subsumption_resolution,[status(thm)],[f216,f914])).
% 1.04/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 1.04/0.61 % Elapsed time: 0.252777 seconds
% 1.04/0.61 % CPU time: 1.737560 seconds
% 1.04/0.61 % Total memory used: 39.759 MB
% 1.04/0.61 % Net memory used: 36.788 MB
%------------------------------------------------------------------------------