%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS105+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 : n007.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 01:00:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS105+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.76 % Computer : n007.cluster.edu
% 0.09/0.76 % Model : x86_64 x86_64
% 0.09/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.76 % Memory : 8046.5625MB
% 0.09/0.76 % OS : Linux 6.8.0-71-generic
% 0.09/0.76 % CPULimit : 300
% 0.09/0.76 % WCLimit : 300
% 0.09/0.76 % DateTime : Sun Sep 20 22:51:21 UTC 2026
% 0.09/0.77 % CPUTime :
% 0.09/0.77 % Drodi V4.1.1
% 0.09/0.78 % Refutation found
% 0.09/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.78 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.78 fof(f3,axiom,(
% 0.09/0.78 (! [X] :( cUnsatisfiable(X)=> cdxcomp(X) ) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f4,axiom,(
% 0.09/0.78 (! [X] :( cUnsatisfiable(X)=> cc(X) ) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f5,axiom,(
% 0.09/0.78 (! [X] :( cc(X)=> (! [Y] :( rr(X,Y)=> cc(Y) ) )) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f6,axiom,(
% 0.09/0.78 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f7,axiom,(
% 0.09/0.78 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f8,axiom,(
% 0.09/0.78 (! [X] :( ca_Ax2(X)<=> (! [Y] :( rr(X,Y)=> cc(Y) ) )) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f9,axiom,(
% 0.09/0.78 (! [X] :( ca_Ax2(X)=> cd(X) ) )),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f10,axiom,(
% 0.09/0.78 cUnsatisfiable(i2003_11_14_17_20_53634) ),
% 0.09/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.78 fof(f18,plain,(
% 0.09/0.78 ![X]: (~cUnsatisfiable(X)|cdxcomp(X))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.78 fof(f19,plain,(
% 0.09/0.78 ![X0]: (~cUnsatisfiable(X0)|cdxcomp(X0))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.78 fof(f20,plain,(
% 0.09/0.78 ![X]: (~cUnsatisfiable(X)|cc(X))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.78 fof(f21,plain,(
% 0.09/0.78 ![X0]: (~cUnsatisfiable(X0)|cc(X0))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.78 fof(f22,plain,(
% 0.09/0.78 ![X]: (~cc(X)|(![Y]: (~rr(X,Y)|cc(Y))))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.78 fof(f23,plain,(
% 0.09/0.78 ![X0,X1]: (~cc(X0)|~rr(X0,X1)|cc(X1))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.78 fof(f24,plain,(
% 0.09/0.78 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.78 fof(f25,plain,(
% 0.09/0.78 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.09/0.78 inference(NNF_transformation,[status(thm)],[f24])).
% 0.09/0.78 fof(f26,plain,(
% 0.09/0.78 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.09/0.78 inference(miniscoping,[status(thm)],[f25])).
% 0.09/0.78 fof(f27,plain,(
% 0.09/0.78 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sK0_skl(X))))),
% 0.09/0.78 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f26])).
% 0.09/0.78 fof(f28,plain,(
% 0.09/0.78 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.78 fof(f30,plain,(
% 0.09/0.78 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.78 inference(NNF_transformation,[status(thm)],[f7])).
% 0.09/0.78 fof(f31,plain,(
% 0.09/0.78 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.78 inference(miniscoping,[status(thm)],[f30])).
% 0.09/0.78 fof(f32,plain,(
% 0.09/0.78 (![X]: (~cdxcomp(X)|ra_Px1(X,sK1_skl(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.09/0.78 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f31])).
% 0.09/0.78 fof(f33,plain,(
% 0.09/0.78 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sK1_skl(X0)))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.78 fof(f35,plain,(
% 0.09/0.78 ![X]: (ca_Ax2(X)<=>(![Y]: (~rr(X,Y)|cc(Y))))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.78 fof(f36,plain,(
% 0.09/0.78 ![X]: ((~ca_Ax2(X)|(![Y]: (~rr(X,Y)|cc(Y))))&(ca_Ax2(X)|(?[Y]: (rr(X,Y)&~cc(Y)))))),
% 0.09/0.78 inference(NNF_transformation,[status(thm)],[f35])).
% 0.09/0.78 fof(f37,plain,(
% 0.09/0.78 (![X]: (~ca_Ax2(X)|(![Y]: (~rr(X,Y)|cc(Y)))))&(![X]: (ca_Ax2(X)|(?[Y]: (rr(X,Y)&~cc(Y)))))),
% 0.09/0.78 inference(miniscoping,[status(thm)],[f36])).
% 0.09/0.78 fof(f38,plain,(
% 0.09/0.78 (![X]: (~ca_Ax2(X)|(![Y]: (~rr(X,Y)|cc(Y)))))&(![X]: (ca_Ax2(X)|(rr(X,sK2_skl(X))&~cc(sK2_skl(X)))))),
% 0.09/0.78 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f37])).
% 0.09/0.78 fof(f40,plain,(
% 0.09/0.78 ![X0]: (ca_Ax2(X0)|rr(X0,sK2_skl(X0)))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.78 fof(f41,plain,(
% 0.09/0.78 ![X0]: (ca_Ax2(X0)|~cc(sK2_skl(X0)))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.78 fof(f42,plain,(
% 0.09/0.78 ![X]: (~ca_Ax2(X)|cd(X))),
% 0.09/0.78 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.09/0.78 fof(f43,plain,(
% 0.09/0.78 ![X0]: (~ca_Ax2(X0)|cd(X0))),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.78 fof(f44,plain,(
% 0.09/0.78 cUnsatisfiable(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.78 fof(f46,plain,(
% 0.09/0.78 cdxcomp(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(resolution,[status(thm)],[f19,f44])).
% 0.09/0.78 fof(f47,plain,(
% 0.09/0.78 cc(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(resolution,[status(thm)],[f21,f44])).
% 0.09/0.78 fof(f48,plain,(
% 0.09/0.78 ![X0]: (~cc(X0)|cc(sK2_skl(X0))|ca_Ax2(X0))),
% 0.09/0.78 inference(resolution,[status(thm)],[f23,f40])).
% 0.09/0.78 fof(f49,plain,(
% 0.09/0.78 ![X0]: (~cc(X0)|ca_Ax2(X0))),
% 0.09/0.78 inference(forward_subsumption_resolution,[status(thm)],[f48,f41])).
% 0.09/0.78 fof(f51,plain,(
% 0.09/0.78 ca_Ax2(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(resolution,[status(thm)],[f49,f47])).
% 0.09/0.78 fof(f52,plain,(
% 0.09/0.78 cd(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(resolution,[status(thm)],[f51,f43])).
% 0.09/0.78 fof(f53,plain,(
% 0.09/0.78 ra_Px1(i2003_11_14_17_20_53634,sK1_skl(i2003_11_14_17_20_53634))),
% 0.09/0.78 inference(resolution,[status(thm)],[f33,f46])).
% 0.09/0.78 fof(f57,plain,(
% 0.09/0.78 ~cd(i2003_11_14_17_20_53634)),
% 0.09/0.78 inference(resolution,[status(thm)],[f53,f28])).
% 0.09/0.78 fof(f58,plain,(
% 0.09/0.78 $false),
% 0.09/0.78 inference(forward_subsumption_resolution,[status(thm)],[f57,f52])).
% 0.09/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.80 % Elapsed time: 0.024034 seconds
% 0.09/0.80 % CPU time: 0.069151 seconds
% 0.09/0.80 % Total memory used: 1.335 MB
% 0.09/0.80 % Net memory used: 1.307 MB
%------------------------------------------------------------------------------