%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS255+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 : n017.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS255+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 : n017.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 22:55:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (! [Ax,C] :( ( (? [I1] : model(I1,Ax))=> (? [I2] : model(I2,C) ))<=> status(Ax,C,sap) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,axiom,(
% 0.14/0.39 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f32,axiom,(
% 0.14/0.39 (? [I1,Ax,C] :( model(I1,Ax)& ~ model(I1,C)& (? [I2] : model(I2,C) )) )),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f33,conjecture,(
% 0.14/0.39 mighta(sap,thm) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f34,negated_conjecture,(
% 0.14/0.39 ~(mighta(sap,thm) )),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f33])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 ![Ax,C]: (((![I1]: ~model(I1,Ax))|(?[I2]: model(I2,C)))<=>status(Ax,C,sap))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 ![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)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f42])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f43])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(I1,sK2_skl(C,Ax)),skolemize(I2,sK3_skl(C,Ax))],[f44])).
% 0.14/0.39 fof(f47,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~model(X0,X1)|status(X2,X1,sap))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f63,plain,(
% 0.14/0.39 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f62])).
% 0.14/0.39 fof(f64,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f63])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.39 fof(f67,plain,(
% 0.14/0.39 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f65])).
% 0.14/0.39 fof(f174,plain,(
% 0.14/0.39 ![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)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f175,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f174])).
% 0.14/0.39 fof(f176,plain,(
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.14/0.39 fof(f177,plain,(
% 0.14/0.39 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f176])).
% 0.14/0.39 fof(f235,plain,(
% 0.14/0.39 ?[C]: ((?[I1]: ((?[Ax]: model(I1,Ax))&~model(I1,C)))&(?[I2]: model(I2,C)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.14/0.39 fof(f236,plain,(
% 0.14/0.39 ((model(sK68_skl,sK69_skl)&~model(sK68_skl,sK67_skl))&model(sK70_skl,sK67_skl))),
% 0.14/0.39 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])).
% 0.14/0.39 fof(f239,plain,(
% 0.14/0.39 model(sK70_skl,sK67_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f236])).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 ~mighta(sap,thm)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.39 fof(f347,plain,(
% 0.14/0.39 ![X0]: (status(X0,sK67_skl,sap))),
% 0.14/0.39 inference(resolution,[status(thm)],[f239,f47])).
% 0.14/0.39 fof(f548,plain,(
% 0.14/0.39 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 0.14/0.39 inference(resolution,[status(thm)],[f67,f66])).
% 0.14/0.39 fof(f550,plain,(
% 0.14/0.39 ![X0]: (status(X0,X0,thm))),
% 0.14/0.39 inference(duplicate_literals_removal,[status(thm)],[f548])).
% 0.14/0.39 fof(f769,plain,(
% 0.14/0.39 ![X0,X1]: (~status(X0,X0,X1)|mighta(X1,thm))),
% 0.14/0.39 inference(resolution,[status(thm)],[f550,f177])).
% 0.14/0.39 fof(f926,plain,(
% 0.14/0.39 mighta(sap,thm)),
% 0.14/0.39 inference(resolution,[status(thm)],[f347,f769])).
% 0.14/0.39 fof(f929,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f926,f240])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.045994 seconds
% 0.14/0.41 % CPU time: 0.147441 seconds
% 0.14/0.41 % Total memory used: 16.698 MB
% 0.14/0.41 % Net memory used: 16.543 MB
%------------------------------------------------------------------------------