%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS257+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 : n006.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 01:00:28 PM UTC 2026
% Result : Theorem 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS257+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 22:59:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f4,axiom,(
% 0.15/0.42 (! [Ax,C] :( (? [I1] :( model(I1,Ax)& model(I1,C) ))<=> status(Ax,C,sat) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f5,axiom,(
% 0.15/0.42 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f20,axiom,(
% 0.15/0.42 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f31,axiom,(
% 0.15/0.42 (? [Ax,C] :( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( ~ model(I3,Ax)& model(I3,C) ))& (? [I4] : ~ model(I4,C) )) )),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f33,conjecture,(
% 0.15/0.42 mighta(sat,thm) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f34,negated_conjecture,(
% 0.15/0.42 ~(mighta(sat,thm) )),
% 0.15/0.42 inference(negated_conjecture,[status(cth)],[f33])).
% 0.15/0.42 fof(f56,plain,(
% 0.15/0.42 ![Ax,C]: (((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat))&((?[I1]: (model(I1,Ax)&model(I1,C)))|~status(Ax,C,sat)))),
% 0.15/0.42 inference(NNF_transformation,[status(thm)],[f4])).
% 0.15/0.42 fof(f57,plain,(
% 0.15/0.42 (![Ax,C]: ((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat)))&(![Ax,C]: ((?[I1]: (model(I1,Ax)&model(I1,C)))|~status(Ax,C,sat)))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f56])).
% 0.15/0.42 fof(f58,plain,(
% 0.15/0.42 (![Ax,C]: ((![I1]: (~model(I1,Ax)|~model(I1,C)))|status(Ax,C,sat)))&(![Ax,C]: ((model(sK8_skl(C,Ax),Ax)&model(sK8_skl(C,Ax),C))|~status(Ax,C,sat)))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(I1,sK8_skl(C,Ax))],[f57])).
% 0.15/0.42 fof(f59,plain,(
% 0.15/0.42 ![X0,X1,X2]: (~model(X0,X1)|~model(X0,X2)|status(X1,X2,sat))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f58])).
% 0.15/0.42 fof(f62,plain,(
% 0.15/0.42 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.42 fof(f63,plain,(
% 0.15/0.42 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.15/0.42 inference(NNF_transformation,[status(thm)],[f62])).
% 0.15/0.42 fof(f64,plain,(
% 0.15/0.42 (![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)))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f63])).
% 0.15/0.42 fof(f65,plain,(
% 0.15/0.42 (![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)))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.15/0.42 fof(f66,plain,(
% 0.15/0.42 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.42 fof(f67,plain,(
% 0.15/0.42 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.42 fof(f174,plain,(
% 0.15/0.42 ![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)))),
% 0.15/0.42 inference(NNF_transformation,[status(thm)],[f20])).
% 0.15/0.42 fof(f175,plain,(
% 0.15/0.42 (![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)))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f174])).
% 0.15/0.42 fof(f176,plain,(
% 0.15/0.42 (![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)))),
% 0.15/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.15/0.42 fof(f177,plain,(
% 0.15/0.42 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f176])).
% 0.15/0.42 fof(f227,plain,(
% 0.15/0.42 ?[Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C))))&(?[I4]: ~model(I4,C)))),
% 0.15/0.42 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.15/0.42 fof(f228,plain,(
% 0.15/0.42 ?[C]: ((?[Ax]: (((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C)))))&(?[I4]: ~model(I4,C)))),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f227])).
% 0.15/0.42 fof(f229,plain,(
% 0.15/0.42 (((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))),
% 0.15/0.42 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])).
% 0.15/0.42 fof(f233,plain,(
% 0.15/0.42 model(sK65_skl,sK62_skl)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f229])).
% 0.15/0.42 fof(f240,plain,(
% 0.15/0.42 ~mighta(sat,thm)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.42 fof(f285,plain,(
% 0.15/0.42 ![X0]: (~model(sK65_skl,X0)|status(X0,sK62_skl,sat))),
% 0.15/0.42 inference(resolution,[status(thm)],[f233,f59])).
% 0.15/0.42 fof(f493,plain,(
% 0.15/0.42 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 0.15/0.42 inference(resolution,[status(thm)],[f67,f66])).
% 0.15/0.42 fof(f495,plain,(
% 0.15/0.42 ![X0]: (status(X0,X0,thm))),
% 0.15/0.42 inference(duplicate_literals_removal,[status(thm)],[f493])).
% 0.15/0.42 fof(f503,plain,(
% 0.15/0.42 status(sK62_skl,sK62_skl,sat)),
% 0.15/0.42 inference(resolution,[status(thm)],[f285,f233])).
% 0.15/0.42 fof(f532,plain,(
% 0.15/0.42 ![X0,X1]: (~status(X0,X0,X1)|mighta(X1,thm))),
% 0.15/0.42 inference(resolution,[status(thm)],[f495,f177])).
% 0.15/0.42 fof(f640,plain,(
% 0.15/0.42 mighta(sat,thm)),
% 0.15/0.42 inference(resolution,[status(thm)],[f532,f503])).
% 0.15/0.42 fof(f656,plain,(
% 0.15/0.42 $false),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f640,f240])).
% 0.15/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.46 % Elapsed time: 0.074242 seconds
% 0.15/0.46 % CPU time: 0.234846 seconds
% 0.15/0.46 % Total memory used: 22.130 MB
% 0.15/0.46 % Net memory used: 21.923 MB
%------------------------------------------------------------------------------