%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS128+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 01:00:18 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS128+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
% 0.07/0.33 % Computer : n003.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sun Sep 20 22:56:17 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 % Drodi V4.1.1
% 0.07/0.34 % Refutation found
% 0.07/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.34 fof(f3,axiom,(
% 0.07/0.34 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& cexcomp(Y) ))& (! [Y] :( rr(X,Y)=> cd(Y) ))& (! [Y] :( rr(X,Y)=> ca_Cx4(Y) ) )) ) )),
% 0.07/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f9,axiom,(
% 0.07/0.34 (! [X] :( ca_Cx4(X)<=> (? [Y0] : ra_Px4(X,Y0) )) )),
% 0.07/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f10,axiom,(
% 0.07/0.34 (! [X] :( ca_Cx4xcomp(X)<=> ~ (? [Y] : ra_Px4(X,Y) )) )),
% 0.07/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f11,axiom,(
% 0.07/0.34 (! [X] :( ca_Cx4xcomp(X)<=> ( cd(X)& cexcomp(X) ) ) )),
% 0.07/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f12,axiom,(
% 0.07/0.34 cUnsatisfiable(i2003_11_14_17_22_31584) ),
% 0.07/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.34 fof(f20,plain,(
% 0.07/0.34 ![X]: (cUnsatisfiable(X)<=>(((?[Y]: (rr(X,Y)&cexcomp(Y)))&(![Y]: (~rr(X,Y)|cd(Y))))&(![Y]: (~rr(X,Y)|ca_Cx4(Y)))))),
% 0.07/0.34 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/0.34 fof(f21,plain,(
% 0.07/0.34 ![X]: ((~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cexcomp(Y)))&(![Y]: (~rr(X,Y)|cd(Y))))&(![Y]: (~rr(X,Y)|ca_Cx4(Y)))))&(cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cexcomp(Y)))|(?[Y]: (rr(X,Y)&~cd(Y))))|(?[Y]: (rr(X,Y)&~ca_Cx4(Y))))))),
% 0.07/0.34 inference(NNF_transformation,[status(thm)],[f20])).
% 0.07/0.34 fof(f22,plain,(
% 0.07/0.34 (![X]: (~cUnsatisfiable(X)|(((?[Y]: (rr(X,Y)&cexcomp(Y)))&(![Y]: (~rr(X,Y)|cd(Y))))&(![Y]: (~rr(X,Y)|ca_Cx4(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cexcomp(Y)))|(?[Y]: (rr(X,Y)&~cd(Y))))|(?[Y]: (rr(X,Y)&~ca_Cx4(Y))))))),
% 0.07/0.34 inference(miniscoping,[status(thm)],[f21])).
% 0.07/0.34 fof(f23,plain,(
% 0.07/0.34 (![X]: (~cUnsatisfiable(X)|(((rr(X,sK0_skl(X))&cexcomp(sK0_skl(X)))&(![Y]: (~rr(X,Y)|cd(Y))))&(![Y]: (~rr(X,Y)|ca_Cx4(Y))))))&(![X]: (cUnsatisfiable(X)|(((![Y]: (~rr(X,Y)|~cexcomp(Y)))|(rr(X,sK1_skl(X))&~cd(sK1_skl(X))))|(rr(X,sK2_skl(X))&~ca_Cx4(sK2_skl(X))))))),
% 0.07/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y,sK1_skl(X)),skolemize(Y,sK2_skl(X))],[f22])).
% 0.07/0.34 fof(f24,plain,(
% 0.07/0.34 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sK0_skl(X0)))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.34 fof(f25,plain,(
% 0.07/0.34 ![X0]: (~cUnsatisfiable(X0)|cexcomp(sK0_skl(X0)))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.34 fof(f26,plain,(
% 0.07/0.34 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|cd(X1))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.34 fof(f27,plain,(
% 0.07/0.34 ![X0,X1]: (~cUnsatisfiable(X0)|~rr(X0,X1)|ca_Cx4(X1))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.34 fof(f56,plain,(
% 0.07/0.34 ![X]: ((~ca_Cx4(X)|(?[Y0]: ra_Px4(X,Y0)))&(ca_Cx4(X)|(![Y0]: ~ra_Px4(X,Y0))))),
% 0.07/0.34 inference(NNF_transformation,[status(thm)],[f9])).
% 0.07/0.34 fof(f57,plain,(
% 0.07/0.34 (![X]: (~ca_Cx4(X)|(?[Y0]: ra_Px4(X,Y0))))&(![X]: (ca_Cx4(X)|(![Y0]: ~ra_Px4(X,Y0))))),
% 0.07/0.34 inference(miniscoping,[status(thm)],[f56])).
% 0.07/0.34 fof(f58,plain,(
% 0.07/0.34 (![X]: (~ca_Cx4(X)|ra_Px4(X,sK7_skl(X))))&(![X]: (ca_Cx4(X)|(![Y0]: ~ra_Px4(X,Y0))))),
% 0.07/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Y0,sK7_skl(X))],[f57])).
% 0.07/0.34 fof(f59,plain,(
% 0.07/0.34 ![X0]: (~ca_Cx4(X0)|ra_Px4(X0,sK7_skl(X0)))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f58])).
% 0.07/0.34 fof(f61,plain,(
% 0.07/0.34 ![X]: (ca_Cx4xcomp(X)<=>(![Y]: ~ra_Px4(X,Y)))),
% 0.07/0.34 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.07/0.34 fof(f62,plain,(
% 0.07/0.34 ![X]: ((~ca_Cx4xcomp(X)|(![Y]: ~ra_Px4(X,Y)))&(ca_Cx4xcomp(X)|(?[Y]: ra_Px4(X,Y))))),
% 0.07/0.34 inference(NNF_transformation,[status(thm)],[f61])).
% 0.07/0.34 fof(f63,plain,(
% 0.07/0.34 (![X]: (~ca_Cx4xcomp(X)|(![Y]: ~ra_Px4(X,Y))))&(![X]: (ca_Cx4xcomp(X)|(?[Y]: ra_Px4(X,Y))))),
% 0.07/0.34 inference(miniscoping,[status(thm)],[f62])).
% 0.07/0.34 fof(f64,plain,(
% 0.07/0.34 (![X]: (~ca_Cx4xcomp(X)|(![Y]: ~ra_Px4(X,Y))))&(![X]: (ca_Cx4xcomp(X)|ra_Px4(X,sK8_skl(X))))),
% 0.07/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X))],[f63])).
% 0.07/0.34 fof(f65,plain,(
% 0.07/0.34 ![X0,X1]: (~ca_Cx4xcomp(X0)|~ra_Px4(X0,X1))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f64])).
% 0.07/0.34 fof(f67,plain,(
% 0.07/0.34 ![X]: ((~ca_Cx4xcomp(X)|(cd(X)&cexcomp(X)))&(ca_Cx4xcomp(X)|(~cd(X)|~cexcomp(X))))),
% 0.07/0.34 inference(NNF_transformation,[status(thm)],[f11])).
% 0.07/0.34 fof(f68,plain,(
% 0.07/0.34 (![X]: (~ca_Cx4xcomp(X)|(cd(X)&cexcomp(X))))&(![X]: (ca_Cx4xcomp(X)|(~cd(X)|~cexcomp(X))))),
% 0.07/0.34 inference(miniscoping,[status(thm)],[f67])).
% 0.07/0.34 fof(f71,plain,(
% 0.07/0.34 ![X0]: (ca_Cx4xcomp(X0)|~cd(X0)|~cexcomp(X0))),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f68])).
% 0.07/0.34 fof(f72,plain,(
% 0.07/0.34 cUnsatisfiable(i2003_11_14_17_22_31584)),
% 0.07/0.34 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/0.34 fof(f74,plain,(
% 0.07/0.34 ![X0]: (~rr(i2003_11_14_17_22_31584,X0)|cd(X0))),
% 0.07/0.34 inference(resolution,[status(thm)],[f26,f72])).
% 0.07/0.34 fof(f75,plain,(
% 0.07/0.34 cd(sK0_skl(i2003_11_14_17_22_31584))|~cUnsatisfiable(i2003_11_14_17_22_31584)),
% 0.07/0.34 inference(resolution,[status(thm)],[f74,f24])).
% 0.07/0.34 fof(f76,definition,(
% 0.07/0.34 sQ0_spl <=> (cd(sK0_skl(i2003_11_14_17_22_31584)))),
% 0.07/0.34 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/0.34 fof(f79,definition,(
% 0.07/0.34 sQ1_spl <=> (cUnsatisfiable(i2003_11_14_17_22_31584))),
% 0.07/0.34 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.07/0.34 fof(f81,plain,(
% 0.07/0.34 ~cUnsatisfiable(i2003_11_14_17_22_31584)|sQ1_spl),
% 0.07/0.34 inference(component_clause,[status(thm)],[f79])).
% 0.07/0.34 fof(f82,plain,(
% 0.07/0.34 sQ0_spl|~sQ1_spl),
% 0.07/0.34 inference(split_clause,[status(thm)],[f75,f76,f79])).
% 0.07/0.34 fof(f83,plain,(
% 0.07/0.34 ![X0]: (~rr(i2003_11_14_17_22_31584,X0)|ca_Cx4(X0))),
% 0.07/0.34 inference(resolution,[status(thm)],[f27,f72])).
% 0.07/0.34 fof(f84,plain,(
% 0.07/0.34 ca_Cx4(sK0_skl(i2003_11_14_17_22_31584))|~cUnsatisfiable(i2003_11_14_17_22_31584)),
% 0.07/0.34 inference(resolution,[status(thm)],[f83,f24])).
% 0.07/0.34 fof(f85,definition,(
% 0.07/0.34 sQ2_spl <=> (ca_Cx4(sK0_skl(i2003_11_14_17_22_31584)))),
% 0.07/0.34 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/0.34 fof(f86,plain,(
% 0.07/0.34 ca_Cx4(sK0_skl(i2003_11_14_17_22_31584))|~sQ2_spl),
% 0.07/0.34 inference(component_clause,[status(thm)],[f85])).
% 0.07/0.34 fof(f88,plain,(
% 0.07/0.34 sQ2_spl|~sQ1_spl),
% 0.07/0.34 inference(split_clause,[status(thm)],[f84,f85,f79])).
% 0.07/0.34 fof(f89,plain,(
% 0.07/0.34 $false|sQ1_spl),
% 0.07/0.34 inference(forward_subsumption_resolution,[status(thm)],[f81,f72])).
% 0.07/0.34 fof(f90,plain,(
% 0.07/0.34 sQ1_spl),
% 0.07/0.34 inference(contradiction_clause,[status(thm)],[f89])).
% 0.07/0.34 fof(f97,plain,(
% 0.07/0.34 ra_Px4(sK0_skl(i2003_11_14_17_22_31584),sK7_skl(sK0_skl(i2003_11_14_17_22_31584)))|~sQ2_spl),
% 0.07/0.34 inference(resolution,[status(thm)],[f59,f86])).
% 0.07/0.34 fof(f102,plain,(
% 0.07/0.34 ![X0]: (ca_Cx4xcomp(sK0_skl(X0))|~cd(sK0_skl(X0))|~cUnsatisfiable(X0))),
% 0.07/0.34 inference(resolution,[status(thm)],[f71,f25])).
% 0.07/0.34 fof(f109,definition,(
% 0.07/0.34 sQ3_spl <=> (ca_Cx4xcomp(sK0_skl(i2003_11_14_17_22_31584)))),
% 0.07/0.34 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/0.34 fof(f110,plain,(
% 0.07/0.34 ca_Cx4xcomp(sK0_skl(i2003_11_14_17_22_31584))|~sQ3_spl),
% 0.07/0.34 inference(component_clause,[status(thm)],[f109])).
% 0.07/0.34 fof(f116,plain,(
% 0.07/0.34 ca_Cx4xcomp(sK0_skl(i2003_11_14_17_22_31584))|~cd(sK0_skl(i2003_11_14_17_22_31584))),
% 0.07/0.34 inference(resolution,[status(thm)],[f102,f72])).
% 0.07/0.34 fof(f117,plain,(
% 0.07/0.34 sQ3_spl|~sQ0_spl),
% 0.07/0.34 inference(split_clause,[status(thm)],[f116,f109,f76])).
% 0.07/0.34 fof(f118,plain,(
% 0.07/0.34 ![X0]: (~ra_Px4(sK0_skl(i2003_11_14_17_22_31584),X0)|~sQ3_spl)),
% 0.07/0.34 inference(resolution,[status(thm)],[f110,f65])).
% 0.07/0.34 fof(f119,plain,(
% 0.07/0.34 $false|~sQ3_spl|~sQ2_spl),
% 0.07/0.34 inference(backward_subsumption_resolution,[status(thm)],[f97,f118])).
% 0.07/0.34 fof(f120,plain,(
% 0.07/0.34 ~sQ3_spl|~sQ2_spl),
% 0.07/0.34 inference(contradiction_clause,[status(thm)],[f119])).
% 0.07/0.34 fof(f121,plain,(
% 0.07/0.34 $false),
% 0.07/0.34 inference(sat_refutation,[status(thm)],[f82,f88,f90,f117,f120])).
% 0.07/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.35 % Elapsed time: 0.019066 seconds
% 0.07/0.35 % CPU time: 0.026773 seconds
% 0.07/0.35 % Total memory used: 648.000 KB
% 0.07/0.35 % Net memory used: 638.496 KB
%------------------------------------------------------------------------------