%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:37:38 PM UTC 2026
% Result : Theorem 0.06s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.31 % Computer : n012.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8046.5625MB
% 0.06/0.31 % OS : Linux 6.8.0-71-generic
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Mon Sep 21 07:41:51 UTC 2026
% 0.06/0.31 % CPUTime :
% 0.06/0.31 % Drodi V4.1.1
% 0.06/0.34 % Refutation found
% 0.06/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.06/0.34 fof(f1,axiom,(
% 0.06/0.34 ic(uri_owl_InverseFunctionalProperty) ),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f2,axiom,(
% 0.06/0.34 (! [X,Y] :( iext(uri_owl_inverseOf,X,Y)=> ( ip(X)& ip(Y) ) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f3,axiom,(
% 0.06/0.34 (! [X,Y] :( iext(uri_owl_equivalentClass,X,Y)=> ( ic(X)& ic(Y) ) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f4,axiom,(
% 0.06/0.34 (! [P] :( icext(uri_owl_FunctionalProperty,P)<=> ( ip(P)& (! [X,Y1,Y2] :( ( iext(P,X,Y1)& iext(P,X,Y2) )=> Y1 = Y2 ) )) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f5,axiom,(
% 0.06/0.34 (! [P] :( icext(uri_owl_InverseFunctionalProperty,P)<=> ( ip(P)& (! [X1,X2,Y] :( ( iext(P,X1,Y)& iext(P,X2,Y) )=> X1 = X2 ) )) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f6,axiom,(
% 0.06/0.34 (! [C1,C2] :( iext(uri_rdfs_subClassOf,C1,C2)<=> ( ic(C1)& ic(C2)& (! [X] :( icext(C1,X)=> icext(C2,X) ) )) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f7,axiom,(
% 0.06/0.34 (! [C1,C2] :( iext(uri_owl_equivalentClass,C1,C2)<=> ( ic(C1)& ic(C2)& (! [X] :( icext(C1,X)<=> icext(C2,X) ) )) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f8,axiom,(
% 0.06/0.34 (! [Z,P,C] :( ( iext(uri_owl_someValuesFrom,Z,C)& iext(uri_owl_onProperty,Z,P) )=> (! [X] :( icext(Z,X)<=> (? [Y] :( iext(P,X,Y)& icext(C,Y) ) )) )) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f9,axiom,(
% 0.06/0.34 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f10,conjecture,(
% 0.06/0.34 iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) ),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f11,negated_conjecture,(
% 0.06/0.34 ~(iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty) )),
% 0.06/0.34 inference(negated_conjecture,[status(cth)],[f10])).
% 0.06/0.34 fof(f12,axiom,(
% 0.06/0.34 (? [BNODE_z] :( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,BNODE_z)& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)& iext(uri_owl_onProperty,BNODE_z,uri_owl_inverseOf)& iext(uri_owl_someValuesFrom,BNODE_z,uri_owl_FunctionalProperty) ) )),
% 0.06/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.06/0.34 fof(f13,plain,(
% 0.06/0.34 ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f1])).
% 0.06/0.34 fof(f14,plain,(
% 0.06/0.34 ![X,Y]: (~iext(uri_owl_inverseOf,X,Y)|(ip(X)&ip(Y)))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.06/0.34 fof(f15,plain,(
% 0.06/0.34 ![X0,X1]: (~iext(uri_owl_inverseOf,X0,X1)|ip(X0))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f14])).
% 0.06/0.34 fof(f17,plain,(
% 0.06/0.34 ![X,Y]: (~iext(uri_owl_equivalentClass,X,Y)|(ic(X)&ic(Y)))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.06/0.34 fof(f18,plain,(
% 0.06/0.34 ![X0,X1]: (~iext(uri_owl_equivalentClass,X0,X1)|ic(X0))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f17])).
% 0.06/0.34 fof(f20,plain,(
% 0.06/0.34 ![P]: (icext(uri_owl_FunctionalProperty,P)<=>(ip(P)&(![X,Y1,Y2]: ((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2))))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.06/0.34 fof(f21,plain,(
% 0.06/0.34 ![P]: ((~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![X,Y1,Y2]: ((~iext(P,X,Y1)|~iext(P,X,Y2))|Y1=Y2))))&(icext(uri_owl_FunctionalProperty,P)|(~ip(P)|(?[X,Y1,Y2]: ((iext(P,X,Y1)&iext(P,X,Y2))&~Y1=Y2)))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f20])).
% 0.06/0.34 fof(f22,plain,(
% 0.06/0.34 (![P]: (~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![Y1,Y2]: ((![X]: (~iext(P,X,Y1)|~iext(P,X,Y2)))|Y1=Y2)))))&(![P]: (icext(uri_owl_FunctionalProperty,P)|(~ip(P)|(?[Y1,Y2]: ((?[X]: (iext(P,X,Y1)&iext(P,X,Y2)))&~Y1=Y2)))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f21])).
% 0.06/0.34 fof(f23,plain,(
% 0.06/0.34 (![P]: (~icext(uri_owl_FunctionalProperty,P)|(ip(P)&(![Y1,Y2]: ((![X]: (~iext(P,X,Y1)|~iext(P,X,Y2)))|Y1=Y2)))))&(![P]: (icext(uri_owl_FunctionalProperty,P)|(~ip(P)|((iext(P,sK2_skl(P),sK0_skl(P))&iext(P,sK2_skl(P),sK1_skl(P)))&~sK0_skl(P)=sK1_skl(P)))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y1,sK0_skl(P)),skolemize(Y2,sK1_skl(P)),skolemize(X,sK2_skl(P))],[f22])).
% 0.06/0.34 fof(f25,plain,(
% 0.06/0.34 ![X0,X1,X2,X3]: (~icext(uri_owl_FunctionalProperty,X0)|~iext(X0,X1,X2)|~iext(X0,X1,X3)|X2=X3)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f23])).
% 0.06/0.34 fof(f29,plain,(
% 0.06/0.34 ![P]: (icext(uri_owl_InverseFunctionalProperty,P)<=>(ip(P)&(![X1,X2,Y]: ((~iext(P,X1,Y)|~iext(P,X2,Y))|X1=X2))))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.06/0.34 fof(f30,plain,(
% 0.06/0.34 ![P]: ((~icext(uri_owl_InverseFunctionalProperty,P)|(ip(P)&(![X1,X2,Y]: ((~iext(P,X1,Y)|~iext(P,X2,Y))|X1=X2))))&(icext(uri_owl_InverseFunctionalProperty,P)|(~ip(P)|(?[X1,X2,Y]: ((iext(P,X1,Y)&iext(P,X2,Y))&~X1=X2)))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f29])).
% 0.06/0.34 fof(f31,plain,(
% 0.06/0.34 (![P]: (~icext(uri_owl_InverseFunctionalProperty,P)|(ip(P)&(![X1,X2]: ((![Y]: (~iext(P,X1,Y)|~iext(P,X2,Y)))|X1=X2)))))&(![P]: (icext(uri_owl_InverseFunctionalProperty,P)|(~ip(P)|(?[X1,X2]: ((?[Y]: (iext(P,X1,Y)&iext(P,X2,Y)))&~X1=X2)))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f30])).
% 0.06/0.34 fof(f32,plain,(
% 0.06/0.34 (![P]: (~icext(uri_owl_InverseFunctionalProperty,P)|(ip(P)&(![X1,X2]: ((![Y]: (~iext(P,X1,Y)|~iext(P,X2,Y)))|X1=X2)))))&(![P]: (icext(uri_owl_InverseFunctionalProperty,P)|(~ip(P)|((iext(P,sK3_skl(P),sK5_skl(P))&iext(P,sK4_skl(P),sK5_skl(P)))&~sK3_skl(P)=sK4_skl(P)))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(X1,sK3_skl(P)),skolemize(X2,sK4_skl(P)),skolemize(Y,sK5_skl(P))],[f31])).
% 0.06/0.34 fof(f35,plain,(
% 0.06/0.34 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|iext(X0,sK3_skl(X0),sK5_skl(X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f32])).
% 0.06/0.34 fof(f36,plain,(
% 0.06/0.34 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|iext(X0,sK4_skl(X0),sK5_skl(X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f32])).
% 0.06/0.34 fof(f37,plain,(
% 0.06/0.34 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|~sK3_skl(X0)=sK4_skl(X0))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f32])).
% 0.06/0.34 fof(f38,plain,(
% 0.06/0.34 ![C1,C2]: (iext(uri_rdfs_subClassOf,C1,C2)<=>((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X)))))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.06/0.34 fof(f39,plain,(
% 0.06/0.34 ![C1,C2]: ((~iext(uri_rdfs_subClassOf,C1,C2)|((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X)))))&(iext(uri_rdfs_subClassOf,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: (icext(C1,X)&~icext(C2,X))))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f38])).
% 0.06/0.34 fof(f40,plain,(
% 0.06/0.34 (![C1,C2]: (~iext(uri_rdfs_subClassOf,C1,C2)|((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X))))))&(![C1,C2]: (iext(uri_rdfs_subClassOf,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: (icext(C1,X)&~icext(C2,X))))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f39])).
% 0.06/0.34 fof(f41,plain,(
% 0.06/0.34 (![C1,C2]: (~iext(uri_rdfs_subClassOf,C1,C2)|((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X))))))&(![C1,C2]: (iext(uri_rdfs_subClassOf,C1,C2)|((~ic(C1)|~ic(C2))|(icext(C1,sK6_skl(C2,C1))&~icext(C2,sK6_skl(C2,C1))))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(X,sK6_skl(C2,C1))],[f40])).
% 0.06/0.34 fof(f45,plain,(
% 0.06/0.34 ![X0,X1]: (iext(uri_rdfs_subClassOf,X0,X1)|~ic(X0)|~ic(X1)|icext(X0,sK6_skl(X1,X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f41])).
% 0.06/0.34 fof(f46,plain,(
% 0.06/0.34 ![X0,X1]: (iext(uri_rdfs_subClassOf,X0,X1)|~ic(X0)|~ic(X1)|~icext(X1,sK6_skl(X1,X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f41])).
% 0.06/0.34 fof(f47,plain,(
% 0.06/0.34 ![C1,C2]: ((~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&(![X]: ((~icext(C1,X)|icext(C2,X))&(icext(C1,X)|~icext(C2,X))))))&(iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: ((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f7])).
% 0.06/0.34 fof(f48,plain,(
% 0.06/0.34 (![C1,C2]: (~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&((![X]: (~icext(C1,X)|icext(C2,X)))&(![X]: (icext(C1,X)|~icext(C2,X)))))))&(![C1,C2]: (iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|(?[X]: ((~icext(C1,X)|~icext(C2,X))&(icext(C1,X)|icext(C2,X)))))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f47])).
% 0.06/0.34 fof(f49,plain,(
% 0.06/0.34 (![C1,C2]: (~iext(uri_owl_equivalentClass,C1,C2)|((ic(C1)&ic(C2))&((![X]: (~icext(C1,X)|icext(C2,X)))&(![X]: (icext(C1,X)|~icext(C2,X)))))))&(![C1,C2]: (iext(uri_owl_equivalentClass,C1,C2)|((~ic(C1)|~ic(C2))|((~icext(C1,sK7_skl(C2,C1))|~icext(C2,sK7_skl(C2,C1)))&(icext(C1,sK7_skl(C2,C1))|icext(C2,sK7_skl(C2,C1)))))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl(C2,C1))],[f48])).
% 0.06/0.34 fof(f52,plain,(
% 0.06/0.34 ![X0,X1,X2]: (~iext(uri_owl_equivalentClass,X0,X1)|~icext(X0,X2)|icext(X1,X2))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f49])).
% 0.06/0.34 fof(f56,plain,(
% 0.06/0.34 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|(![X]: (icext(Z,X)<=>(?[Y]: (iext(P,X,Y)&icext(C,Y))))))),
% 0.06/0.34 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.06/0.34 fof(f57,plain,(
% 0.06/0.34 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|(![X]: ((~icext(Z,X)|(?[Y]: (iext(P,X,Y)&icext(C,Y))))&(icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f56])).
% 0.06/0.34 fof(f58,plain,(
% 0.06/0.34 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|((![X]: (~icext(Z,X)|(?[Y]: (iext(P,X,Y)&icext(C,Y)))))&(![X]: (icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f57])).
% 0.06/0.34 fof(f59,plain,(
% 0.06/0.34 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|((![X]: (~icext(Z,X)|(iext(P,X,sK8_skl(X,C,P,Z))&icext(C,sK8_skl(X,C,P,Z)))))&(![X]: (icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y,sK8_skl(X,C,P,Z))],[f58])).
% 0.06/0.34 fof(f60,plain,(
% 0.06/0.34 ![X0,X1,X2,X3]: (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|~icext(X0,X3)|iext(X2,X3,sK8_skl(X3,X1,X2,X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f59])).
% 0.06/0.34 fof(f61,plain,(
% 0.06/0.34 ![X0,X1,X2,X3]: (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|~icext(X0,X3)|icext(X1,sK8_skl(X3,X1,X2,X0)))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f59])).
% 0.06/0.34 fof(f63,plain,(
% 0.06/0.34 ![P1,P2]: ((~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&(![X,Y]: ((~iext(P1,X,Y)|iext(P2,Y,X))&(iext(P1,X,Y)|~iext(P2,Y,X))))))&(iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: ((~iext(P1,X,Y)|~iext(P2,Y,X))&(iext(P1,X,Y)|iext(P2,Y,X)))))))),
% 0.06/0.34 inference(NNF_transformation,[status(thm)],[f9])).
% 0.06/0.34 fof(f64,plain,(
% 0.06/0.34 (![P1,P2]: (~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&((![X,Y]: (~iext(P1,X,Y)|iext(P2,Y,X)))&(![X,Y]: (iext(P1,X,Y)|~iext(P2,Y,X)))))))&(![P1,P2]: (iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: ((~iext(P1,X,Y)|~iext(P2,Y,X))&(iext(P1,X,Y)|iext(P2,Y,X)))))))),
% 0.06/0.34 inference(miniscoping,[status(thm)],[f63])).
% 0.06/0.34 fof(f65,plain,(
% 0.06/0.34 (![P1,P2]: (~iext(uri_owl_inverseOf,P1,P2)|((ip(P1)&ip(P2))&((![X,Y]: (~iext(P1,X,Y)|iext(P2,Y,X)))&(![X,Y]: (iext(P1,X,Y)|~iext(P2,Y,X)))))))&(![P1,P2]: (iext(uri_owl_inverseOf,P1,P2)|((~ip(P1)|~ip(P2))|((~iext(P1,sK9_skl(P2,P1),sK10_skl(P2,P1))|~iext(P2,sK10_skl(P2,P1),sK9_skl(P2,P1)))&(iext(P1,sK9_skl(P2,P1),sK10_skl(P2,P1))|iext(P2,sK10_skl(P2,P1),sK9_skl(P2,P1)))))))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(X,sK9_skl(P2,P1)),skolemize(Y,sK10_skl(P2,P1))],[f64])).
% 0.06/0.34 fof(f68,plain,(
% 0.06/0.34 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|~iext(X0,X2,X3)|iext(X1,X3,X2))),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f65])).
% 0.06/0.34 fof(f72,plain,(
% 0.06/0.34 ~iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f11])).
% 0.06/0.34 fof(f73,plain,(
% 0.06/0.34 (((iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11_skl)&iext(uri_rdf_type,sK11_skl,uri_owl_Restriction))&iext(uri_owl_onProperty,sK11_skl,uri_owl_inverseOf))&iext(uri_owl_someValuesFrom,sK11_skl,uri_owl_FunctionalProperty))),
% 0.06/0.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(BNODE_z,sK11_skl)],[f12])).
% 0.06/0.34 fof(f74,plain,(
% 0.06/0.34 iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11_skl)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f73])).
% 0.06/0.34 fof(f76,plain,(
% 0.06/0.34 iext(uri_owl_onProperty,sK11_skl,uri_owl_inverseOf)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f73])).
% 0.06/0.34 fof(f77,plain,(
% 0.06/0.34 iext(uri_owl_someValuesFrom,sK11_skl,uri_owl_FunctionalProperty)),
% 0.06/0.34 inference(cnf_transformation,[status(thm)],[f73])).
% 0.06/0.34 fof(f82,plain,(
% 0.06/0.34 ic(uri_ex_InversesOfFunctionalProperties)),
% 0.06/0.34 inference(resolution,[status(thm)],[f18,f74])).
% 0.06/0.34 fof(f93,plain,(
% 0.06/0.34 ![X0]: (iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)|~ic(X0)|icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(X0,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f45,f82])).
% 0.06/0.34 fof(f95,plain,(
% 0.06/0.34 ![X0]: (~icext(uri_ex_InversesOfFunctionalProperties,X0)|icext(sK11_skl,X0))),
% 0.06/0.34 inference(resolution,[status(thm)],[f52,f74])).
% 0.06/0.34 fof(f107,plain,(
% 0.06/0.34 iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)|icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f93,f13])).
% 0.06/0.34 fof(f108,plain,(
% 0.06/0.34 icext(uri_ex_InversesOfFunctionalProperties,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f107,f72])).
% 0.06/0.34 fof(f122,plain,(
% 0.06/0.34 ![X0,X1]: (~iext(uri_owl_onProperty,sK11_skl,X0)|~icext(sK11_skl,X1)|iext(X0,X1,sK8_skl(X1,uri_owl_FunctionalProperty,X0,sK11_skl)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f60,f77])).
% 0.06/0.34 fof(f123,plain,(
% 0.06/0.34 ![X0,X1]: (~iext(uri_owl_onProperty,sK11_skl,X0)|~icext(sK11_skl,X1)|icext(uri_owl_FunctionalProperty,sK8_skl(X1,uri_owl_FunctionalProperty,X0,sK11_skl)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f61,f77])).
% 0.06/0.34 fof(f125,plain,(
% 0.06/0.34 icext(sK11_skl,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f108,f95])).
% 0.06/0.34 fof(f156,plain,(
% 0.06/0.34 ![X0]: (~icext(sK11_skl,X0)|iext(uri_owl_inverseOf,X0,sK8_skl(X0,uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f122,f76])).
% 0.06/0.34 fof(f157,plain,(
% 0.06/0.34 ![X0]: (~icext(sK11_skl,X0)|icext(uri_owl_FunctionalProperty,sK8_skl(X0,uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f123,f76])).
% 0.06/0.34 fof(f193,plain,(
% 0.06/0.34 iext(uri_owl_inverseOf,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))),
% 0.06/0.34 inference(resolution,[status(thm)],[f156,f125])).
% 0.06/0.34 fof(f197,plain,(
% 0.06/0.34 icext(uri_owl_FunctionalProperty,sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))),
% 0.06/0.34 inference(resolution,[status(thm)],[f157,f125])).
% 0.06/0.34 fof(f212,plain,(
% 0.06/0.34 ![X0,X1]: (~iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),X0,X1)|iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),X1,X0))),
% 0.06/0.34 inference(resolution,[status(thm)],[f193,f68])).
% 0.06/0.34 fof(f214,plain,(
% 0.06/0.34 ip(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f193,f15])).
% 0.06/0.34 fof(f223,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f214,f36])).
% 0.06/0.34 fof(f224,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|iext(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f214,f35])).
% 0.06/0.34 fof(f362,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f223,f212])).
% 0.06/0.34 fof(f396,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f224,f212])).
% 0.06/0.34 fof(f501,plain,(
% 0.06/0.34 ![X0]: (icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|~icext(uri_owl_FunctionalProperty,sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl))|~iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),X0)|X0=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(resolution,[status(thm)],[f362,f25])).
% 0.06/0.34 fof(f503,plain,(
% 0.06/0.34 ![X0]: (icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|~iext(sK8_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties),uri_owl_FunctionalProperty,uri_owl_inverseOf,sK11_skl),sK5_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)),X0)|X0=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties)))),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f501,f197])).
% 0.06/0.34 fof(f597,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f503,f396])).
% 0.06/0.34 fof(f599,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(duplicate_literals_removal,[status(thm)],[f597])).
% 0.06/0.34 fof(f610,plain,(
% 0.06/0.34 sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)|~ic(uri_ex_InversesOfFunctionalProperties)|~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(resolution,[status(thm)],[f599,f46])).
% 0.06/0.34 fof(f611,plain,(
% 0.06/0.34 sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|~ic(uri_ex_InversesOfFunctionalProperties)|~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f610,f72])).
% 0.06/0.34 fof(f612,plain,(
% 0.06/0.34 sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f611,f82])).
% 0.06/0.34 fof(f613,plain,(
% 0.06/0.34 sK3_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))=sK4_skl(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f612,f13])).
% 0.06/0.34 fof(f627,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))|~ip(sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(resolution,[status(thm)],[f613,f37])).
% 0.06/0.34 fof(f629,plain,(
% 0.06/0.34 icext(uri_owl_InverseFunctionalProperty,sK6_skl(uri_owl_InverseFunctionalProperty,uri_ex_InversesOfFunctionalProperties))),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f627,f214])).
% 0.06/0.34 fof(f633,plain,(
% 0.06/0.34 iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)|~ic(uri_ex_InversesOfFunctionalProperties)|~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(resolution,[status(thm)],[f629,f46])).
% 0.06/0.34 fof(f634,plain,(
% 0.06/0.34 ~ic(uri_ex_InversesOfFunctionalProperties)|~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f633,f72])).
% 0.06/0.34 fof(f636,plain,(
% 0.06/0.34 ~ic(uri_owl_InverseFunctionalProperty)),
% 0.06/0.34 inference(forward_subsumption_resolution,[status(thm)],[f634,f82])).
% 0.06/0.34 fof(f637,plain,(
% 0.06/0.34 $false),
% 0.06/0.34 inference(backward_subsumption_resolution,[status(thm)],[f13,f636])).
% 0.06/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.36 % Elapsed time: 0.046256 seconds
% 0.10/0.36 % CPU time: 0.190512 seconds
% 0.10/0.36 % Total memory used: 85.833 MB
% 0.10/0.36 % Net memory used: 85.432 MB
%------------------------------------------------------------------------------