%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS254+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 : n019.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 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS254+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n019.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 23:00:20 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f1,axiom,(
% 0.19/0.48 (! [Ax,C] :( ( ~ (? [I1] : model(I1,Ax))=> ~ (? [I2] : model(I2,C) ))<=> status(Ax,C,unp) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,axiom,(
% 0.19/0.48 (! [Ax,C] :( (! [I1] :( model(I1,Ax)=> model(I1,C) ))<=> status(Ax,C,thm) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f20,axiom,(
% 0.19/0.48 (! [S1,S2] :( (? [Ax,C] :( status(Ax,C,S1)& status(Ax,C,S2) ))<=> mighta(S1,S2) ) )),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f27,axiom,(
% 0.19/0.48 (? [F] :(! [I] : model(I,F) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f33,conjecture,(
% 0.19/0.48 mighta(unp,thm) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f34,negated_conjecture,(
% 0.19/0.48 ~(mighta(unp,thm) )),
% 0.19/0.48 inference(negated_conjecture,[status(cth)],[f33])).
% 0.19/0.48 fof(f35,plain,(
% 0.19/0.48 ![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))<=>status(Ax,C,unp))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.19/0.48 fof(f36,plain,(
% 0.19/0.48 ![Ax,C]: ((((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp))&(((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.19/0.48 inference(NNF_transformation,[status(thm)],[f35])).
% 0.19/0.48 fof(f37,plain,(
% 0.19/0.48 (![Ax,C]: (((![I1]: ~model(I1,Ax))&(?[I2]: model(I2,C)))|status(Ax,C,unp)))&(![Ax,C]: (((?[I1]: model(I1,Ax))|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f36])).
% 0.19/0.48 fof(f38,plain,(
% 0.19/0.48 (![Ax,C]: (((![I1]: ~model(I1,Ax))&model(sK0_skl(C,Ax),C))|status(Ax,C,unp)))&(![Ax,C]: ((model(sK1_skl(C,Ax),Ax)|(![I2]: ~model(I2,C)))|~status(Ax,C,unp)))),
% 0.19/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(I2,sK0_skl(C,Ax)),skolemize(I1,sK1_skl(C,Ax))],[f37])).
% 0.19/0.48 fof(f39,plain,(
% 0.19/0.48 ![X0,X1,X2]: (~model(X0,X1)|status(X1,X2,unp))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f38])).
% 0.19/0.48 fof(f62,plain,(
% 0.19/0.48 ![Ax,C]: ((![I1]: (~model(I1,Ax)|model(I1,C)))<=>status(Ax,C,thm))),
% 0.19/0.48 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.19/0.48 fof(f63,plain,(
% 0.19/0.48 ![Ax,C]: (((?[I1]: (model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&((![I1]: (~model(I1,Ax)|model(I1,C)))|~status(Ax,C,thm)))),
% 0.19/0.48 inference(NNF_transformation,[status(thm)],[f62])).
% 0.19/0.48 fof(f64,plain,(
% 0.19/0.48 (![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)))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f63])).
% 0.19/0.48 fof(f65,plain,(
% 0.19/0.48 (![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)))),
% 0.19/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(I1,sK9_skl(C,Ax))],[f64])).
% 0.19/0.48 fof(f66,plain,(
% 0.19/0.48 ![X0,X1]: (model(sK9_skl(X0,X1),X1)|status(X1,X0,thm))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.48 fof(f67,plain,(
% 0.19/0.48 ![X0,X1]: (~model(sK9_skl(X0,X1),X0)|status(X1,X0,thm))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f65])).
% 0.19/0.48 fof(f174,plain,(
% 0.19/0.48 ![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)))),
% 0.19/0.48 inference(NNF_transformation,[status(thm)],[f20])).
% 0.19/0.48 fof(f175,plain,(
% 0.19/0.48 (![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)))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f174])).
% 0.19/0.48 fof(f176,plain,(
% 0.19/0.48 (![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)))),
% 0.19/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK42_skl,sK43_skl]),skolemize(Ax,sK42_skl(S2,S1)),skolemize(C,sK43_skl(S2,S1))],[f175])).
% 0.19/0.48 fof(f177,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~status(X0,X1,X2)|~status(X0,X1,X3)|mighta(X2,X3))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f176])).
% 0.19/0.48 fof(f215,plain,(
% 0.19/0.48 ![I]: model(I,sK52_skl)),
% 0.19/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(F,sK52_skl)],[f27])).
% 0.19/0.49 fof(f216,plain,(
% 0.19/0.49 ![X0]: (model(X0,sK52_skl))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f215])).
% 0.19/0.49 fof(f240,plain,(
% 0.19/0.49 ~mighta(unp,thm)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f34])).
% 0.19/0.49 fof(f251,plain,(
% 0.19/0.49 ![X0]: (status(sK52_skl,X0,unp))),
% 0.19/0.49 inference(resolution,[status(thm)],[f216,f39])).
% 0.19/0.49 fof(f373,plain,(
% 0.19/0.49 ![X0]: (status(X0,X0,thm)|status(X0,X0,thm))),
% 0.19/0.49 inference(resolution,[status(thm)],[f67,f66])).
% 0.19/0.49 fof(f376,plain,(
% 0.19/0.49 ![X0]: (status(X0,X0,thm))),
% 0.19/0.49 inference(duplicate_literals_removal,[status(thm)],[f373])).
% 0.19/0.49 fof(f483,plain,(
% 0.19/0.49 ![X0,X1]: (~status(X0,X0,X1)|mighta(X1,thm))),
% 0.19/0.49 inference(resolution,[status(thm)],[f376,f177])).
% 0.19/0.49 fof(f485,plain,(
% 0.19/0.49 mighta(unp,thm)),
% 0.19/0.49 inference(resolution,[status(thm)],[f483,f251])).
% 0.19/0.49 fof(f494,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f485,f240])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.52 % Elapsed time: 0.059996 seconds
% 0.19/0.52 % CPU time: 0.246477 seconds
% 0.19/0.52 % Total memory used: 21.517 MB
% 0.19/0.52 % Net memory used: 21.327 MB
%------------------------------------------------------------------------------