%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS256+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 : n026.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 0.16s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS256+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n026.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 23:02:36 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.47 % Drodi V4.1.1
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.50 fof(f3,axiom,(
% 0.16/0.50 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))<=> (? [I2] : model(I2,C) ))<=> status(Ax,C,esa) ) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f5,axiom,(
% 0.16/0.50 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f20,axiom,(
% 0.16/0.50 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f32,axiom,(
% 0.16/0.50 (? [I1,Ax,C] :( model(I1,Ax)& ~ model(I1,C)& (? [I2] : model(I2,C) )) )),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f33,conjecture,(
% 0.16/0.50 mighta(esa,thm) ),
% 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f34,negated_conjecture,(
% 0.16/0.50 ~(mighta(esa,thm) )),
% 0.16/0.50 inference(negated_conjecture,[status(cth)],[f33])).
% 0.16/0.50 fof(f49,plain,(
% 0.16/0.50 ![Ax,C]: (((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&((?[I1]: model(I1,Ax))|(?[I2]: model(I2,C))))|status(Ax,C,esa))&((((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))&((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f3])).
% 0.16/0.50 fof(f50,plain,(
% 0.16/0.50 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&((?[I1]: model(I1,Ax))|(?[I2]: model(I2,C))))|status(Ax,C,esa)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))&((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f49])).
% 0.16/0.50 fof(f51,plain,(
% 0.16/0.50 (![Ax,C]: ((((![I1]: ~model(I1,Ax))|(![I2]: ~model(I2,C)))&(model(sK4_skl(C,Ax),Ax)|model(sK5_skl(C,Ax),C)))|status(Ax,C,esa)))&(![Ax,C]: ((((![I1]: ~model(I1,Ax))|model(sK6_skl(C,Ax),C))&(model(sK7_skl(C,Ax),Ax)|(![I2]: ~model(I2,C))))|~status(Ax,C,esa)))),
% 0.16/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(I1,sK4_skl(C,Ax)),skolemize(I2,sK5_skl(C,Ax)),skolemize(I2,sK6_skl(C,Ax)),skolemize(I1,sK7_skl(C,Ax))],[f50])).
% 0.16/0.50 fof(f52,plain,(
% 0.16/0.50 ![X0,X1,X2,X3]: (~model(X0,X1)|~model(X2,X3)|status(X1,X3,esa))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f51])).
% 0.16/0.50 fof(f62,plain,(
% 0.16/0.50 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.50 fof(f63,plain,(
% 0.16/0.50 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f62])).
% 0.16/0.50 fof(f64,plain,(
% 0.16/0.50 (![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)))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f63])).
% 0.16/0.50 fof(f65,plain,(
% 0.16/0.50 (![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)))),
% 0.16/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.16/0.50 fof(f66,plain,(
% 0.16/0.50 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f65])).
% 0.16/0.50 fof(f67,plain,(
% 0.16/0.50 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.16/0.50 inference(cnf_transformation,[status(thm)],[f65])).
% 0.16/0.50 fof(f174,plain,(
% 0.16/0.50 ![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)))),
% 0.16/0.50 inference(NNF_transformation,[status(thm)],[f20])).
% 0.16/0.50 fof(f175,plain,(
% 0.16/0.50 (![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)))),
% 0.16/0.50 inference(miniscoping,[status(thm)],[f174])).
% 0.16/0.50 fof(f176,plain,(
% 0.16/0.50 (![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)))),
% 0.16/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.16/0.51 fof(f177,plain,(
% 0.16/0.51 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f176])).
% 0.16/0.51 fof(f235,plain,(
% 0.16/0.51 ?[C]: ((?[I1]: ((?[Ax]: model(I1,Ax))&~model(I1,C)))&(?[I2]: model(I2,C)))),
% 0.16/0.51 inference(miniscoping,[status(thm)],[f32])).
% 0.16/0.51 fof(f236,plain,(
% 0.16/0.51 ((model(sK68_skl,sK69_skl)&~model(sK68_skl,sK67_skl))&model(sK70_skl,sK67_skl))),
% 0.16/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK67_skl,sK68_skl,sK69_skl,sK70_skl]),skolemize(C,sK67_skl),skolemize(I1,sK68_skl),skolemize(Ax,sK69_skl),skolemize(I2,sK70_skl)],[f235])).
% 0.16/0.51 fof(f239,plain,(
% 0.16/0.51 model(sK70_skl,sK67_skl)),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f236])).
% 0.16/0.51 fof(f240,plain,(
% 0.16/0.51 ~mighta(esa,thm)),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f34])).
% 0.16/0.51 fof(f328,plain,(
% 0.16/0.51 ![X0,X1]: (~model(X0,X1)|status(X1,sK67_skl,esa))),
% 0.16/0.51 inference(resolution,[status(thm)],[f239,f52])).
% 0.16/0.51 fof(f656,plain,(
% 0.16/0.51 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 0.16/0.51 inference(resolution,[status(thm)],[f67,f66])).
% 0.16/0.51 fof(f658,plain,(
% 0.16/0.51 ![X0]: (status(X0,X0,thm))),
% 0.16/0.51 inference(duplicate_literals_removal,[status(thm)],[f656])).
% 0.16/0.51 fof(f686,plain,(
% 0.16/0.51 status(sK67_skl,sK67_skl,esa)),
% 0.16/0.51 inference(resolution,[status(thm)],[f239,f328])).
% 0.16/0.51 fof(f788,plain,(
% 0.16/0.51 ![X0,X1]: (~status(X0,X0,X1)|mighta(X1,thm))),
% 0.16/0.51 inference(resolution,[status(thm)],[f658,f177])).
% 0.16/0.51 fof(f884,plain,(
% 0.16/0.51 mighta(esa,thm)),
% 0.16/0.51 inference(resolution,[status(thm)],[f788,f686])).
% 0.16/0.51 fof(f901,plain,(
% 0.16/0.51 $false),
% 0.16/0.51 inference(forward_subsumption_resolution,[status(thm)],[f884,f240])).
% 0.16/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.57 % Elapsed time: 0.114147 seconds
% 0.25/0.57 % CPU time: 0.193627 seconds
% 0.25/0.57 % Total memory used: 9.302 MB
% 0.25/0.57 % Net memory used: 9.168 MB
%------------------------------------------------------------------------------