%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 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 01:00:18 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n019.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Sun Sep 20 22:54:51 UTC 2026
% 0.09/0.55 % CPUTime :
% 0.09/0.56 % Drodi V4.1.1
% 0.13/0.57 % Refutation found
% 0.13/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.57 fof(f3,axiom,(
% 0.13/0.57 (! [X] :( cUnsatisfiable(X)=> cd1xcomp(X) ) )),
% 0.13/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f4,axiom,(
% 0.13/0.57 (! [X] :( cUnsatisfiable(X)=> cd1(X) ) )),
% 0.13/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f8,axiom,(
% 0.13/0.57 (! [X] :( cd1(X)<=> (? [Y0] : ra_Px2(X,Y0) )) )),
% 0.13/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f9,axiom,(
% 0.13/0.57 (! [X] :( cd1xcomp(X)<=> ~ (? [Y] : ra_Px2(X,Y) )) )),
% 0.13/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f12,axiom,(
% 0.13/0.57 cUnsatisfiable(i2003_11_14_17_22_23554) ),
% 0.13/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.57 fof(f20,plain,(
% 0.13/0.57 ![X]: (~cUnsatisfiable(X)|cd1xcomp(X))),
% 0.13/0.57 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.57 fof(f21,plain,(
% 0.13/0.57 ![X0]: (~cUnsatisfiable(X0)|cd1xcomp(X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.57 fof(f22,plain,(
% 0.13/0.57 ![X]: (~cUnsatisfiable(X)|cd1(X))),
% 0.13/0.57 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.57 fof(f23,plain,(
% 0.13/0.57 ![X0]: (~cUnsatisfiable(X0)|cd1(X0))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.57 fof(f37,plain,(
% 0.13/0.57 ![X]: ((~cd1(X)|(?[Y0]: ra_Px2(X,Y0)))&(cd1(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.13/0.57 inference(NNF_transformation,[status(thm)],[f8])).
% 0.13/0.57 fof(f38,plain,(
% 0.13/0.57 (![X]: (~cd1(X)|(?[Y0]: ra_Px2(X,Y0))))&(![X]: (cd1(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.13/0.57 inference(miniscoping,[status(thm)],[f37])).
% 0.13/0.57 fof(f39,plain,(
% 0.13/0.57 (![X]: (~cd1(X)|ra_Px2(X,sK2_skl(X))))&(![X]: (cd1(X)|(![Y0]: ~ra_Px2(X,Y0))))),
% 0.13/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y0,sK2_skl(X))],[f38])).
% 0.13/0.57 fof(f40,plain,(
% 0.13/0.57 ![X0]: (~cd1(X0)|ra_Px2(X0,sK2_skl(X0)))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.57 fof(f42,plain,(
% 0.13/0.57 ![X]: (cd1xcomp(X)<=>(![Y]: ~ra_Px2(X,Y)))),
% 0.13/0.57 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.57 fof(f43,plain,(
% 0.13/0.57 ![X]: ((~cd1xcomp(X)|(![Y]: ~ra_Px2(X,Y)))&(cd1xcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.13/0.57 inference(NNF_transformation,[status(thm)],[f42])).
% 0.13/0.57 fof(f44,plain,(
% 0.13/0.57 (![X]: (~cd1xcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (cd1xcomp(X)|(?[Y]: ra_Px2(X,Y))))),
% 0.13/0.57 inference(miniscoping,[status(thm)],[f43])).
% 0.13/0.57 fof(f45,plain,(
% 0.13/0.57 (![X]: (~cd1xcomp(X)|(![Y]: ~ra_Px2(X,Y))))&(![X]: (cd1xcomp(X)|ra_Px2(X,sK3_skl(X))))),
% 0.13/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y,sK3_skl(X))],[f44])).
% 0.13/0.57 fof(f46,plain,(
% 0.13/0.57 ![X0,X1]: (~cd1xcomp(X0)|~ra_Px2(X0,X1))),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.57 fof(f52,plain,(
% 0.13/0.57 cUnsatisfiable(i2003_11_14_17_22_23554)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.57 fof(f58,plain,(
% 0.13/0.57 ![X0]: (ra_Px2(X0,sK2_skl(X0))|~cUnsatisfiable(X0))),
% 0.13/0.57 inference(resolution,[status(thm)],[f40,f23])).
% 0.13/0.57 fof(f61,plain,(
% 0.13/0.57 ![X0,X1]: (~ra_Px2(X0,X1)|~cUnsatisfiable(X0))),
% 0.13/0.57 inference(resolution,[status(thm)],[f46,f21])).
% 0.13/0.57 fof(f62,plain,(
% 0.13/0.57 ![X0]: (~cUnsatisfiable(X0))),
% 0.13/0.57 inference(backward_subsumption_resolution,[status(thm)],[f58,f61])).
% 0.13/0.57 fof(f64,plain,(
% 0.13/0.57 $false),
% 0.13/0.57 inference(backward_subsumption_resolution,[status(thm)],[f52,f62])).
% 0.13/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.59 % Elapsed time: 0.027692 seconds
% 0.13/0.59 % CPU time: 0.073213 seconds
% 0.13/0.59 % Total memory used: 1.347 MB
% 0.13/0.59 % Net memory used: 1.327 MB
%------------------------------------------------------------------------------