%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS124+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 : n003.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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS124+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:55:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (! [X] :( cowlThing(X)& ~ cowlNothing(X) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cowlThing(Y) ))& (! [Y] :( rr(X,Y)=> ca_Ax3(Y) ) )) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (! [X] :( cc(X)=> cdxcomp(X) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (! [X] :( cd(X)<=> ~ (? [Y] : ra_Px1(X,Y) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (! [X] :( cdxcomp(X)<=> (? [Y0] : ra_Px1(X,Y0) )) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f13,axiom,(
% 0.11/0.38 (! [X] :( ca_Ax3(X)<=> ( cd(X)& cc(X) ) ) )),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f14,axiom,(
% 0.11/0.38 cUnsatisfiable(i2003_11_14_17_22_10903) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 (![X]: cowlThing(X))&(![X]: ~cowlNothing(X))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0]: (cowlThing(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 ![X]: (cUnsatisfiable(X)<=>((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y)))))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y)))))&(cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&~ca_Ax3(Y))))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f22])).
% 0.11/0.38 fof(f24,plain,(
% 0.11/0.38 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rr(X,Y)&cowlThing(Y)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(?[Y]: (rr(X,Y)&~ca_Ax3(Y))))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f23])).
% 0.11/0.38 fof(f25,plain,(
% 0.11/0.38 (![X]: (~cUnsatisfiable(X)|((rr(X,sK0_skl(X))&cowlThing(sK0_skl(X)))&(![Y]: (~rr(X,Y)|ca_Ax3(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rr(X,Y)|~cowlThing(Y)))|(rr(X,sK1_skl(X))&~ca_Ax3(sK1_skl(X))))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X))],[f24])).
% 0.11/0.38 fof(f26,plain,(
% 0.11/0.38 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|ca_Ax3(X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~cowlThing(X1)|rr(X0,sK1_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~cowlThing(X1)|~ca_Ax3(sK1_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X]: (~cc(X)|cdxcomp(X))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![X0]: (~cc(X0)|cdxcomp(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ![X]: (cd(X)<=>(![Y]: ~ra_Px1(X,Y)))),
% 0.11/0.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![X]: ((~cd(X)|(![Y]: ~ra_Px1(X,Y)))&(cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f37])).
% 0.11/0.38 fof(f39,plain,(
% 0.11/0.38 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|(?[Y]: ra_Px1(X,Y))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f38])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 (![X]: (~cd(X)|(![Y]: ~ra_Px1(X,Y))))&(![X]: (cd(X)|ra_Px1(X,sK2_skl(X))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f39])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 ![X0,X1]: (~cd(X0)|~ra_Px1(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ![X]: ((~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0)))&(cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f44,plain,(
% 0.11/0.38 (![X]: (~cdxcomp(X)|(?[Y0]: ra_Px1(X,Y0))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f43])).
% 0.11/0.38 fof(f45,plain,(
% 0.11/0.38 (![X]: (~cdxcomp(X)|ra_Px1(X,sK3_skl(X))))&(![X]: (cdxcomp(X)|(![Y0]: ~ra_Px1(X,Y0))))),
% 0.11/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f44])).
% 0.11/0.38 fof(f46,plain,(
% 0.11/0.38 ![X0]: (~cdxcomp(X0)|ra_Px1(X0,sK3_skl(X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.11/0.38 fof(f63,plain,(
% 0.11/0.38 ![X]: ((~ca_Ax3(X)|(cd(X)&cc(X)))&(ca_Ax3(X)|(~cd(X)|~cc(X))))),
% 0.11/0.38 inference(NNF_transformation,[status(thm)],[f13])).
% 0.11/0.38 fof(f64,plain,(
% 0.11/0.38 (![X]: (~ca_Ax3(X)|(cd(X)&cc(X))))&(![X]: (ca_Ax3(X)|(~cd(X)|~cc(X))))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f63])).
% 0.11/0.38 fof(f65,plain,(
% 0.11/0.38 ![X0]: (~ca_Ax3(X0)|cd(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.11/0.38 fof(f66,plain,(
% 0.11/0.38 ![X0]: (~ca_Ax3(X0)|cc(X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 cUnsatisfiable(i2003_11_14_17_22_10903)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.38 fof(f70,plain,(
% 0.11/0.38 ![X0]: (~rr(i2003_11_14_17_22_10903,X0)|ca_Ax3(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f28,f68])).
% 0.11/0.38 fof(f71,plain,(
% 0.11/0.38 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|rr(X0,sK1_skl(X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f29,f16])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 ![X0]: (ca_Ax3(sK1_skl(i2003_11_14_17_22_10903))|cUnsatisfiable(i2003_11_14_17_22_10903)|~rr(i2003_11_14_17_22_10903,X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f70,f71])).
% 0.11/0.38 fof(f73,plain,(
% 0.11/0.38 ca_Ax3(sK0_skl(i2003_11_14_17_22_10903))|~cUnsatisfiable(i2003_11_14_17_22_10903)),
% 0.11/0.38 inference(resolution,[status(thm)],[f70,f26])).
% 0.11/0.38 fof(f74,definition,(
% 0.11/0.38 sQ0_spl <=> (ca_Ax3(sK1_skl(i2003_11_14_17_22_10903)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f75,plain,(
% 0.11/0.38 ca_Ax3(sK1_skl(i2003_11_14_17_22_10903))|~sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f74])).
% 0.11/0.38 fof(f77,definition,(
% 0.11/0.38 sQ1_spl <=> (cUnsatisfiable(i2003_11_14_17_22_10903))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f80,definition,(
% 0.11/0.38 ![X0]: (sQ2_spl <=> (~rr(i2003_11_14_17_22_10903,X0)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f81,plain,(
% 0.11/0.38 ![X0]: (~rr(i2003_11_14_17_22_10903,X0)|~sQ2_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f80])).
% 0.11/0.38 fof(f83,plain,(
% 0.11/0.38 sQ0_spl|sQ1_spl|sQ2_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f72,f74,f77,f80])).
% 0.11/0.38 fof(f84,definition,(
% 0.11/0.38 sQ3_spl <=> (ca_Ax3(sK0_skl(i2003_11_14_17_22_10903)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f85,plain,(
% 0.11/0.38 ca_Ax3(sK0_skl(i2003_11_14_17_22_10903))|~sQ3_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f84])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 sQ3_spl|~sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f73,f84,f77])).
% 0.11/0.38 fof(f89,plain,(
% 0.11/0.38 ~cUnsatisfiable(i2003_11_14_17_22_10903)|~sQ2_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f81,f26])).
% 0.11/0.38 fof(f91,plain,(
% 0.11/0.38 $false|~sQ2_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f89,f68])).
% 0.11/0.38 fof(f92,plain,(
% 0.11/0.38 ~sQ2_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f91])).
% 0.11/0.38 fof(f93,plain,(
% 0.11/0.38 ![X0,X1]: (cUnsatisfiable(X0)|~rr(X0,X1)|~ca_Ax3(sK1_skl(X0)))),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f30,f16])).
% 0.11/0.38 fof(f94,plain,(
% 0.11/0.38 ![X0]: (cUnsatisfiable(i2003_11_14_17_22_10903)|~rr(i2003_11_14_17_22_10903,X0)|~sQ0_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f75,f93])).
% 0.11/0.38 fof(f95,plain,(
% 0.11/0.38 sQ1_spl|sQ2_spl|~sQ0_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f94,f77,f80,f74])).
% 0.11/0.38 fof(f102,plain,(
% 0.11/0.38 ![X0]: (ra_Px1(X0,sK3_skl(X0))|~cc(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f46,f32])).
% 0.11/0.38 fof(f107,plain,(
% 0.11/0.38 ![X0]: (ra_Px1(X0,sK3_skl(X0))|~ca_Ax3(X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f102,f66])).
% 0.11/0.38 fof(f108,plain,(
% 0.11/0.38 ra_Px1(sK0_skl(i2003_11_14_17_22_10903),sK3_skl(sK0_skl(i2003_11_14_17_22_10903)))|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f107,f85])).
% 0.11/0.38 fof(f110,plain,(
% 0.11/0.38 ~cd(sK0_skl(i2003_11_14_17_22_10903))|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f108,f41])).
% 0.11/0.38 fof(f113,plain,(
% 0.11/0.38 ~ca_Ax3(sK0_skl(i2003_11_14_17_22_10903))|~sQ3_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f110,f65])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 $false|~sQ3_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f113,f85])).
% 0.11/0.38 fof(f115,plain,(
% 0.11/0.38 ~sQ3_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f114])).
% 0.11/0.38 fof(f116,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f83,f87,f92,f95,f115])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.021335 seconds
% 0.11/0.40 % CPU time: 0.022990 seconds
% 0.11/0.40 % Total memory used: 433.808 KB
% 0.11/0.40 % Net memory used: 426.560 KB
%------------------------------------------------------------------------------