%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS127+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 : n005.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS127+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
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 22:54:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f15,axiom,(
% 0.13/0.37 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cc(Y) ))& (? [Y] :( rr(X,Y)& cd(Y) ))& (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,axiom,(
% 0.13/0.37 (! [X] :( cc(X)=> cdxcomp(X) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,axiom,(
% 0.13/0.37 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f18,axiom,(
% 0.13/0.37 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f19,axiom,(
% 0.13/0.37 cUnsatisfiable(i2003_11_14_17_22_27794) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f63,plain,(
% 0.13/0.37 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))&(cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f63])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cc(Y)))&(?[Y]: (rr(X,Y)&cd(Y))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f64])).
% 0.13/0.37 fof(f66,plain,(
% 0.13/0.37 (![X]: (~cUnsatisfiable(X)|(((rr(X,sK0_skl(X))&cc(sK0_skl(X)))&(rr(X,sK1_skl(X))&cd(sK1_skl(X))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cc(Y)))|(![Y]: (~rr(X,Y)|~cd(Y))))|((rr(X,sK2_skl(X))&rr(X,sK3_skl(X)))&~sK2_skl(X)=sK3_skl(X)))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y0,sK2_skl(X)),skolemize(Y1,sK3_skl(X))],[f65])).
% 0.13/0.37 fof(f67,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.37 fof(f68,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|cc(sK0_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK1_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(X0)|cd(sK1_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.37 fof(f71,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.37 fof(f75,plain,(
% 0.13/0.37 ![X]: (~cc(X)|cdxcomp(X))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.13/0.37 fof(f76,plain,(
% 0.13/0.37 ![X0]: (~cc(X0)|cdxcomp(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f75])).
% 0.13/0.37 fof(f77,plain,(
% 0.13/0.37 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f77])).
% 0.13/0.37 fof(f79,plain,(
% 0.13/0.37 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f78])).
% 0.13/0.37 fof(f80,plain,(
% 0.13/0.37 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sK4_skl(X))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f79])).
% 0.13/0.37 fof(f81,plain,(
% 0.13/0.37 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f80])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(NNF_transformation,[status(thm)],[f18])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(miniscoping,[status(thm)],[f83])).
% 0.13/0.37 fof(f85,plain,(
% 0.13/0.37 (![X]: (~cdxcomp(X)|ra_Px1(X,sK5_skl(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.13/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y0,sK5_skl(X))],[f84])).
% 0.13/0.37 fof(f86,plain,(
% 0.13/0.37 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sK5_skl(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f85])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 cUnsatisfiable(i2003_11_14_17_22_27794)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.37 fof(f90,plain,(
% 0.13/0.37 rr(i2003_11_14_17_22_27794,sK1_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f88,f69])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 cc(sK0_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f88,f68])).
% 0.13/0.37 fof(f92,plain,(
% 0.13/0.37 rr(i2003_11_14_17_22_27794,sK0_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f88,f67])).
% 0.13/0.37 fof(f93,plain,(
% 0.13/0.37 cd(sK1_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f88])).
% 0.13/0.37 fof(f94,plain,(
% 0.13/0.37 cdxcomp(sK0_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f91,f76])).
% 0.13/0.37 fof(f96,plain,(
% 0.13/0.37 ra_Px1(sK0_skl(i2003_11_14_17_22_27794),sK5_skl(sK0_skl(i2003_11_14_17_22_27794)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f86,f94])).
% 0.13/0.37 fof(f98,plain,(
% 0.13/0.37 ![X0]: (~cUnsatisfiable(i2003_11_14_17_22_27794)|~rr(i2003_11_14_17_22_27794,X0)|X0=sK1_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f90,f71])).
% 0.13/0.37 fof(f101,definition,(
% 0.13/0.37 sQ0_spl <=> (cUnsatisfiable(i2003_11_14_17_22_27794))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ~cUnsatisfiable(i2003_11_14_17_22_27794)|sQ0_spl),
% 0.13/0.37 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.37 fof(f104,definition,(
% 0.13/0.37 ![X0]: (sQ1_spl <=> (~rr(i2003_11_14_17_22_27794,X0)|X0=sK1_skl(i2003_11_14_17_22_27794)))),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 ![X0]: (~rr(i2003_11_14_17_22_27794,X0)|X0=sK1_skl(i2003_11_14_17_22_27794)|~sQ1_spl)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f104])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ~sQ0_spl|sQ1_spl),
% 0.13/0.37 inference(split_clause,[status(thm)],[f98,f101,f104])).
% 0.13/0.37 fof(f124,plain,(
% 0.13/0.37 $false|sQ0_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f103,f88])).
% 0.13/0.37 fof(f125,plain,(
% 0.13/0.37 sQ0_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/0.37 fof(f141,plain,(
% 0.13/0.37 sK0_skl(i2003_11_14_17_22_27794)=sK1_skl(i2003_11_14_17_22_27794)|~sQ1_spl),
% 0.13/0.37 inference(resolution,[status(thm)],[f105,f92])).
% 0.13/0.37 fof(f145,plain,(
% 0.13/0.37 cd(sK0_skl(i2003_11_14_17_22_27794))|~sQ1_spl),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f141,f93])).
% 0.13/0.37 fof(f148,plain,(
% 0.13/0.37 ~cd(sK0_skl(i2003_11_14_17_22_27794))),
% 0.13/0.37 inference(resolution,[status(thm)],[f96,f81])).
% 0.13/0.37 fof(f149,plain,(
% 0.13/0.37 $false|~sQ1_spl),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f148,f145])).
% 0.13/0.37 fof(f150,plain,(
% 0.13/0.37 ~sQ1_spl),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f149])).
% 0.13/0.37 fof(f151,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f107,f125,f150])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.029538 seconds
% 0.13/0.39 % CPU time: 0.079973 seconds
% 0.13/0.39 % Total memory used: 2.246 MB
% 0.13/0.39 % Net memory used: 2.167 MB
%------------------------------------------------------------------------------