%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS201+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 : n005.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 01:00:25 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS201+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
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:56:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))=> (? [I2] : model(I2,C) ))<=> status(Ax,C,sap) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,axiom,(
% 0.13/0.38 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& ~ status(Ax,C,S2) ))<=> nota(S1,S2) ) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f31,axiom,(
% 0.13/0.38 (? [Ax,C] :( (? [I1] : model(I1,Ax))& (! [I2] :( model(I2,Ax)=> model(I2,C) ))& (? [I3] :( ~ model(I3,Ax)& model(I3,C) ))& (? [I4] : ~ model(I4,C) )) )),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f33,conjecture,(
% 0.13/0.38 nota(sap,thm) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f34,negated_conjecture,(
% 0.13/0.38 ~(nota(sap,thm) )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f33])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 ![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))<=>status(Ax,C,sap))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ![Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: ~model(I2,C)))|status(Ax,C,sap))&(((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))|~status(Ax,C,sap)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f42])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 (![Ax,C]: (((?[I1]: model(I1,Ax))&(![I2]: ~model(I2,C)))|status(Ax,C,sap)))&(![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))|~status(Ax,C,sap)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f43])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 (![Ax,C]: ((model(sK2_skl(C,Ax),Ax)&(![I2]: ~model(I2,C)))|status(Ax,C,sap)))&(![Ax,C]: (((![I1]: ~model(I1,Ax))|model(sK3_skl(C,Ax),C))|~status(Ax,C,sap)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(I1,sK2_skl(C,Ax)),skolemize(I2,sK3_skl(C,Ax))],[f44])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~model(X0,X1)|status(X2,X1,sap))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f62])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 (![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)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f63])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 (![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)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~model(X0,X1)|model(X0,X2)|~status(X1,X2,thm))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f65])).
% 0.13/0.38 fof(f187,plain,(
% 0.13/0.38 ![S1,S2]: (((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2))&((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|~nota(S1,S2)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f187])).
% 0.13/0.38 fof(f189,plain,(
% 0.13/0.38 (![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|nota(S1,S2)))&(![S1,S2]: ((status(sK46_skl(S2,S1),sK47_skl(S2,S1),S1)&~status(sK46_skl(S2,S1),sK47_skl(S2,S1),S2))|~nota(S1,S2)))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK46_skl,sK47_skl]),skolemize(Ax,sK46_skl(S2,S1)),skolemize(C,sK47_skl(S2,S1))],[f188])).
% 0.13/0.38 fof(f190,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|nota(X2,X3))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f189])).
% 0.13/0.38 fof(f227,plain,(
% 0.13/0.38 ?[Ax,C]: ((((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C))))&(?[I4]: ~model(I4,C)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.13/0.38 fof(f228,plain,(
% 0.13/0.38 ?[C]: ((?[Ax]: (((?[I1]: model(I1,Ax))&(![I2]: (~model(I2,Ax)|model(I2,C))))&(?[I3]: (~model(I3,Ax)&model(I3,C)))))&(?[I4]: ~model(I4,C)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f227])).
% 0.13/0.38 fof(f229,plain,(
% 0.13/0.38 (((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))),
% 0.13/0.38 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])).
% 0.13/0.38 fof(f230,plain,(
% 0.13/0.38 model(sK64_skl,sK63_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f229])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ~model(sK65_skl,sK63_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f229])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 model(sK65_skl,sK62_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f229])).
% 0.13/0.38 fof(f240,plain,(
% 0.13/0.38 ~nota(sap,thm)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.38 fof(f253,definition,(
% 0.13/0.38 sQ2_spl <=> (nota(sap,thm))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f254,plain,(
% 0.13/0.38 nota(sap,thm)|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f253])).
% 0.13/0.38 fof(f260,plain,(
% 0.13/0.38 $false|~sQ2_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f254,f240])).
% 0.13/0.38 fof(f261,plain,(
% 0.13/0.38 ~sQ2_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f260])).
% 0.13/0.38 fof(f312,plain,(
% 0.13/0.38 ![X0]: (status(X0,sK63_skl,sap))),
% 0.13/0.38 inference(resolution,[status(thm)],[f230,f47])).
% 0.13/0.38 fof(f313,plain,(
% 0.13/0.38 ![X0]: (model(sK65_skl,X0)|~status(sK62_skl,X0,thm))),
% 0.13/0.38 inference(resolution,[status(thm)],[f233,f68])).
% 0.13/0.38 fof(f348,plain,(
% 0.13/0.38 ![X0,X1]: (status(X0,sK63_skl,X1)|nota(sap,X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f312,f190])).
% 0.13/0.38 fof(f637,plain,(
% 0.13/0.38 model(sK65_skl,sK63_skl)|nota(sap,thm)),
% 0.13/0.38 inference(resolution,[status(thm)],[f313,f348])).
% 0.13/0.38 fof(f654,definition,(
% 0.13/0.38 sQ48_spl <=> (model(sK65_skl,sK63_skl))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f655,plain,(
% 0.13/0.38 model(sK65_skl,sK63_skl)|~sQ48_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f654])).
% 0.13/0.38 fof(f657,plain,(
% 0.13/0.38 sQ48_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f637,f654,f253])).
% 0.13/0.38 fof(f772,plain,(
% 0.13/0.38 $false|~sQ48_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f655,f232])).
% 0.13/0.38 fof(f773,plain,(
% 0.13/0.38 ~sQ48_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f772])).
% 0.13/0.38 fof(f774,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f261,f657,f773])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.044560 seconds
% 0.13/0.41 % CPU time: 0.090085 seconds
% 0.13/0.41 % Total memory used: 5.366 MB
% 0.13/0.41 % Net memory used: 5.279 MB
%------------------------------------------------------------------------------