%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:00:18 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS125+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n015.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 22:57:11 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.38 % Refutation found
% 0.08/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.38 fof(f3,axiom,(
% 0.08/5.38 (! [X] :( cUnsatisfiable(X)<=> ( ce3(X)& cf(X) ) ) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f4,axiom,(
% 0.08/5.38 (! [X] :( cc(X)=> cdxcomp(X) ) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f7,axiom,(
% 0.08/5.38 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f8,axiom,(
% 0.08/5.38 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f11,axiom,(
% 0.08/5.38 (! [X] :( ce3(X)=> cc(X) ) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f12,axiom,(
% 0.08/5.38 (! [X] :( cf(X)=> cd(X) ) )),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f13,axiom,(
% 0.08/5.38 cUnsatisfiable(i2003_11_14_17_22_17947) ),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f21,plain,(
% 0.08/5.38 ![X]: ((~cUnsatisfiable(X)|(ce3(X)&cf(X)))&(cUnsatisfiable(X)|(~ce3(X)|~cf(X))))),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/5.38 fof(f22,plain,(
% 0.08/5.38 (![X]: (~cUnsatisfiable(X)|(ce3(X)&cf(X))))&(![X]: (cUnsatisfiable(X)|(~ce3(X)|~cf(X))))),
% 0.08/5.38 inference(miniscoping,[status(thm)],[f21])).
% 0.08/5.38 fof(f23,plain,(
% 0.08/5.38 ![X0]: (~cUnsatisfiable(X0)|ce3(X0))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/5.38 fof(f24,plain,(
% 0.08/5.38 ![X0]: (~cUnsatisfiable(X0)|cf(X0))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/5.38 fof(f26,plain,(
% 0.08/5.38 ![X]: (~cc(X)|cdxcomp(X))),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/5.38 fof(f27,plain,(
% 0.08/5.38 ![X0]: (~cc(X0)|cdxcomp(X0))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/5.38 fof(f32,plain,(
% 0.08/5.38 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/5.38 fof(f33,plain,(
% 0.08/5.38 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f32])).
% 0.08/5.38 fof(f34,plain,(
% 0.08/5.38 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.08/5.38 inference(miniscoping,[status(thm)],[f33])).
% 0.08/5.38 fof(f35,plain,(
% 0.08/5.38 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sK0_skl(X))))),
% 0.08/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f34])).
% 0.08/5.38 fof(f36,plain,(
% 0.08/5.38 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.08/5.38 fof(f38,plain,(
% 0.08/5.38 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.38 inference(NNF_transformation,[status(thm)],[f8])).
% 0.08/5.38 fof(f39,plain,(
% 0.08/5.38 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.38 inference(miniscoping,[status(thm)],[f38])).
% 0.08/5.38 fof(f40,plain,(
% 0.08/5.38 (![X]: (~cdxcomp(X)|ra_Px1(X,sK1_skl(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.08/5.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f39])).
% 0.08/5.38 fof(f41,plain,(
% 0.08/5.38 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sK1_skl(X0)))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.08/5.38 fof(f54,plain,(
% 0.08/5.38 ![X]: (~ce3(X)|cc(X))),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.08/5.38 fof(f55,plain,(
% 0.08/5.38 ![X0]: (~ce3(X0)|cc(X0))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f54])).
% 0.08/5.38 fof(f56,plain,(
% 0.08/5.38 ![X]: (~cf(X)|cd(X))),
% 0.08/5.38 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.08/5.38 fof(f57,plain,(
% 0.08/5.38 ![X0]: (~cf(X0)|cd(X0))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f56])).
% 0.08/5.38 fof(f58,plain,(
% 0.08/5.38 cUnsatisfiable(i2003_11_14_17_22_17947)),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/5.38 fof(f61,plain,(
% 0.08/5.38 ![X0,X1]: (~cf(X0)|~ra_Px1(X0,X1))),
% 0.08/5.38 inference(resolution,[status(thm)],[f57,f36])).
% 0.08/5.38 fof(f64,plain,(
% 0.08/5.38 ![X0]: (ra_Px1(X0,sK1_skl(X0))|~cc(X0))),
% 0.08/5.38 inference(resolution,[status(thm)],[f41,f27])).
% 0.08/5.38 fof(f65,plain,(
% 0.08/5.38 ![X0,X1]: (~ra_Px1(X0,X1)|~cUnsatisfiable(X0))),
% 0.08/5.38 inference(resolution,[status(thm)],[f61,f24])).
% 0.08/5.38 fof(f73,plain,(
% 0.08/5.38 ![X0]: (ra_Px1(X0,sK1_skl(X0))|~ce3(X0))),
% 0.08/5.38 inference(resolution,[status(thm)],[f64,f55])).
% 0.08/5.38 fof(f76,plain,(
% 0.08/5.38 ![X0]: (ra_Px1(X0,sK1_skl(X0))|~cUnsatisfiable(X0))),
% 0.08/5.38 inference(resolution,[status(thm)],[f73,f23])).
% 0.08/5.38 fof(f77,plain,(
% 0.08/5.38 ![X0]: (~cUnsatisfiable(X0))),
% 0.08/5.38 inference(forward_subsumption_resolution,[status(thm)],[f76,f65])).
% 0.08/5.38 fof(f80,plain,(
% 0.08/5.38 $false),
% 0.08/5.38 inference(backward_subsumption_resolution,[status(thm)],[f58,f77])).
% 0.08/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/5.39 % Elapsed time: 0.022697 seconds
% 0.08/5.39 % CPU time: 0.069277 seconds
% 0.08/5.39 % Total memory used: 1.472 MB
% 0.08/5.39 % Net memory used: 1.437 MB
%------------------------------------------------------------------------------