%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:41:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (! [P,S1,P1,S2,P2] :( ( iext(uri_rdf_first,S1,P1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,P2)& iext(uri_rdf_rest,S2,uri_rdf_nil) )=> ( iext(uri_owl_propertyChainAxiom,P,S1)<=> ( ip(P)& ip(P1)& ip(P2)& (! [Y0,Y1,Y2] :( ( iext(P1,Y0,Y1)& iext(P2,Y1,Y2) )=> iext(P,Y0,Y2) ) )) ) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f4,axiom,(
% 0.09/0.41 (! [P] :( icext(uri_owl_InverseFunctionalProperty,P)<=> ( ip(P)& (! [X1,X2,Y] :( ( iext(P,X1,Y)& iext(P,X2,Y) )=> X1 = X2 ) )) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f5,axiom,(
% 0.09/0.41 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f6,conjecture,(
% 0.09/0.42 iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f7,negated_conjecture,(
% 0.09/0.42 ~(iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty) )),
% 0.09/0.42 inference(negated_conjecture,[status(cth)],[f6])).
% 0.09/0.42 fof(f8,axiom,(
% 0.09/0.42 (? [BNODE_l1,BNODE_l2,BNODE_v] :( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1)& iext(uri_rdf_first,BNODE_l1,uri_ex_p)& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)& iext(uri_rdf_first,BNODE_l2,BNODE_v)& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)& iext(uri_owl_inverseOf,BNODE_v,uri_ex_p) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f9,plain,(
% 0.09/0.42 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f1])).
% 0.09/0.42 fof(f10,plain,(
% 0.09/0.42 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f9])).
% 0.09/0.42 fof(f12,plain,(
% 0.09/0.42 ![X0,X1]: (iext(uri_rdf_type,X0,X1)|~icext(X1,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.42 fof(f13,plain,(
% 0.09/0.42 ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f2])).
% 0.09/0.42 fof(f14,plain,(
% 0.09/0.42 (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f13])).
% 0.09/0.42 fof(f15,plain,(
% 0.09/0.42 ![X0,X1]: (~iext(uri_owl_sameAs,X0,X1)|X0=X1)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.42 fof(f17,plain,(
% 0.09/0.42 ![P,S1,P1,S2,P2]: ((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|(iext(uri_owl_propertyChainAxiom,P,S1)<=>(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y1,Y2]: ((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|iext(P,Y0,Y2))))))),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.42 fof(f18,plain,(
% 0.09/0.42 ![P,S1,P1,S2,P2]: ((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil))|((~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y1,Y2]: ((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|iext(P,Y0,Y2)))))&(iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|(?[Y0,Y1,Y2]: ((iext(P1,Y0,Y1)&iext(P2,Y1,Y2))&~iext(P,Y0,Y2)))))))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f17])).
% 0.09/0.42 fof(f19,plain,(
% 0.09/0.42 ![S1,P1,P2]: ((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|iext(P,Y0,Y2))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|(?[Y0,Y2]: ((?[Y1]: (iext(P1,Y0,Y1)&iext(P2,Y1,Y2)))&~iext(P,Y0,Y2))))))))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f18])).
% 0.09/0.42 fof(f20,plain,(
% 0.09/0.42 ![S1,P1,P2]: ((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|(((ip(P)&ip(P1))&ip(P2))&(![Y0,Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|iext(P,Y0,Y2))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|(((~ip(P)|~ip(P1))|~ip(P2))|((iext(P1,sK0_skl(P,P2,P1,S1),sK2_skl(P,P2,P1,S1))&iext(P2,sK2_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1)))&~iext(P,sK0_skl(P,P2,P1,S1),sK1_skl(P,P2,P1,S1))))))))),
% 0.09/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y0,sK0_skl(P,P2,P1,S1)),skolemize(Y2,sK1_skl(P,P2,P1,S1)),skolemize(Y1,sK2_skl(P,P2,P1,S1))],[f19])).
% 0.09/0.42 fof(f24,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X4,X0)|~iext(X1,X5,X6)|~iext(X3,X6,X7)|iext(X4,X5,X7))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.42 fof(f28,plain,(
% 0.09/0.42 ![P]: (icext(uri_owl_InverseFunctionalProperty,P)<=>(ip(P)&(![X1,X2,Y]: ((~iext(P,X1,Y)|~iext(P,X2,Y))|X1=X2))))),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.42 fof(f29,plain,(
% 0.09/0.42 ![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)))))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f28])).
% 0.09/0.42 fof(f30,plain,(
% 0.09/0.42 (![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)))))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f29])).
% 0.09/0.42 fof(f31,plain,(
% 0.09/0.42 (![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)))))),
% 0.09/0.42 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))],[f30])).
% 0.09/0.42 fof(f34,plain,(
% 0.09/0.42 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|iext(X0,sK3_skl(X0),sK5_skl(X0)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.42 fof(f35,plain,(
% 0.09/0.42 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|iext(X0,sK4_skl(X0),sK5_skl(X0)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.42 fof(f36,plain,(
% 0.09/0.42 ![X0]: (icext(uri_owl_InverseFunctionalProperty,X0)|~ip(X0)|~sK3_skl(X0)=sK4_skl(X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.42 fof(f37,plain,(
% 0.09/0.42 ![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)))))))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f5])).
% 0.09/0.42 fof(f38,plain,(
% 0.09/0.42 (![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)))))))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f37])).
% 0.09/0.42 fof(f39,plain,(
% 0.09/0.42 (![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,sK6_skl(P2,P1),sK7_skl(P2,P1))|~iext(P2,sK7_skl(P2,P1),sK6_skl(P2,P1)))&(iext(P1,sK6_skl(P2,P1),sK7_skl(P2,P1))|iext(P2,sK7_skl(P2,P1),sK6_skl(P2,P1)))))))),
% 0.09/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X,sK6_skl(P2,P1)),skolemize(Y,sK7_skl(P2,P1))],[f38])).
% 0.09/0.42 fof(f41,plain,(
% 0.09/0.42 ![X0,X1]: (~iext(uri_owl_inverseOf,X0,X1)|ip(X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.42 fof(f43,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|iext(X0,X2,X3)|~iext(X1,X3,X2))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.42 fof(f46,plain,(
% 0.09/0.42 ~iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.42 fof(f47,plain,(
% 0.09/0.42 ?[BNODE_v]: ((?[BNODE_l2]: (((?[BNODE_l1]: ((iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,BNODE_l1)&iext(uri_rdf_first,BNODE_l1,uri_ex_p))&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)))&iext(uri_rdf_first,BNODE_l2,BNODE_v))&iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)))&iext(uri_owl_inverseOf,BNODE_v,uri_ex_p))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.42 fof(f48,plain,(
% 0.09/0.42 (((((iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK10_skl)&iext(uri_rdf_first,sK10_skl,uri_ex_p))&iext(uri_rdf_rest,sK10_skl,sK9_skl))&iext(uri_rdf_first,sK9_skl,sK8_skl))&iext(uri_rdf_rest,sK9_skl,uri_rdf_nil))&iext(uri_owl_inverseOf,sK8_skl,uri_ex_p))),
% 0.09/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl]),skolemize(BNODE_v,sK8_skl),skolemize(BNODE_l2,sK9_skl),skolemize(BNODE_l1,sK10_skl)],[f47])).
% 0.09/0.42 fof(f49,plain,(
% 0.09/0.42 iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK10_skl)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f50,plain,(
% 0.09/0.42 iext(uri_rdf_first,sK10_skl,uri_ex_p)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f51,plain,(
% 0.09/0.42 iext(uri_rdf_rest,sK10_skl,sK9_skl)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f52,plain,(
% 0.09/0.42 iext(uri_rdf_first,sK9_skl,sK8_skl)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f53,plain,(
% 0.09/0.42 iext(uri_rdf_rest,sK9_skl,uri_rdf_nil)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f54,plain,(
% 0.09/0.42 iext(uri_owl_inverseOf,sK8_skl,uri_ex_p)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.42 fof(f57,plain,(
% 0.09/0.42 ip(uri_ex_p)),
% 0.09/0.42 inference(resolution,[status(thm)],[f41,f54])).
% 0.09/0.42 fof(f60,plain,(
% 0.09/0.42 ![X0,X1]: (iext(sK8_skl,X0,X1)|~iext(uri_ex_p,X1,X0))),
% 0.09/0.42 inference(resolution,[status(thm)],[f43,f54])).
% 0.09/0.42 fof(f70,plain,(
% 0.09/0.42 icext(uri_owl_InverseFunctionalProperty,uri_ex_p)|iext(uri_ex_p,sK3_skl(uri_ex_p),sK5_skl(uri_ex_p))),
% 0.09/0.42 inference(resolution,[status(thm)],[f34,f57])).
% 0.09/0.42 fof(f72,definition,(
% 0.09/0.42 sQ2_spl <=> (icext(uri_owl_InverseFunctionalProperty,uri_ex_p))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f73,plain,(
% 0.09/0.42 icext(uri_owl_InverseFunctionalProperty,uri_ex_p)|~sQ2_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f72])).
% 0.09/0.42 fof(f75,definition,(
% 0.09/0.42 sQ3_spl <=> (iext(uri_ex_p,sK3_skl(uri_ex_p),sK5_skl(uri_ex_p)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f76,plain,(
% 0.09/0.42 iext(uri_ex_p,sK3_skl(uri_ex_p),sK5_skl(uri_ex_p))|~sQ3_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.42 fof(f78,plain,(
% 0.09/0.42 sQ2_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f70,f72,f75])).
% 0.09/0.42 fof(f91,plain,(
% 0.09/0.42 iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)|~sQ2_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f73,f12])).
% 0.09/0.42 fof(f92,plain,(
% 0.09/0.42 $false|~sQ2_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f91,f46])).
% 0.09/0.42 fof(f93,plain,(
% 0.09/0.42 ~sQ2_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f92])).
% 0.09/0.42 fof(f107,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK9_skl)|~iext(uri_rdf_first,sK9_skl,X2)|~iext(uri_owl_propertyChainAxiom,X3,X0)|~iext(X1,X4,X5)|~iext(X2,X5,X6)|iext(X3,X4,X6))),
% 0.09/0.42 inference(resolution,[status(thm)],[f24,f53])).
% 0.09/0.42 fof(f115,plain,(
% 0.09/0.42 icext(uri_owl_InverseFunctionalProperty,uri_ex_p)|iext(uri_ex_p,sK4_skl(uri_ex_p),sK5_skl(uri_ex_p))),
% 0.09/0.42 inference(resolution,[status(thm)],[f35,f57])).
% 0.09/0.42 fof(f117,definition,(
% 0.09/0.42 sQ9_spl <=> (iext(uri_ex_p,sK4_skl(uri_ex_p),sK5_skl(uri_ex_p)))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f118,plain,(
% 0.09/0.42 iext(uri_ex_p,sK4_skl(uri_ex_p),sK5_skl(uri_ex_p))|~sQ9_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.09/0.42 fof(f120,plain,(
% 0.09/0.42 sQ2_spl|sQ9_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f115,f72,f117])).
% 0.09/0.42 fof(f125,plain,(
% 0.09/0.42 iext(sK8_skl,sK5_skl(uri_ex_p),sK4_skl(uri_ex_p))|~sQ9_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f118,f60])).
% 0.09/0.42 fof(f176,definition,(
% 0.09/0.42 sQ19_spl <=> (ip(uri_ex_p))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f178,plain,(
% 0.09/0.42 ~ip(uri_ex_p)|sQ19_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f176])).
% 0.09/0.42 fof(f183,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sK10_skl,X0)|~iext(uri_rdf_first,sK9_skl,X1)|~iext(uri_owl_propertyChainAxiom,X2,sK10_skl)|~iext(X0,X3,X4)|~iext(X1,X4,X5)|iext(X2,X3,X5))),
% 0.09/0.42 inference(resolution,[status(thm)],[f107,f51])).
% 0.09/0.42 fof(f185,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4]: (~iext(uri_rdf_first,sK9_skl,X0)|~iext(uri_owl_propertyChainAxiom,X1,sK10_skl)|~iext(uri_ex_p,X2,X3)|~iext(X0,X3,X4)|iext(X1,X2,X4))),
% 0.09/0.42 inference(resolution,[status(thm)],[f183,f50])).
% 0.09/0.42 fof(f186,plain,(
% 0.09/0.42 ![X0,X1,X2,X3]: (~iext(uri_owl_propertyChainAxiom,X0,sK10_skl)|~iext(uri_ex_p,X1,X2)|~iext(sK8_skl,X2,X3)|iext(X0,X1,X3))),
% 0.09/0.42 inference(resolution,[status(thm)],[f185,f52])).
% 0.09/0.42 fof(f187,plain,(
% 0.09/0.42 ![X0,X1,X2]: (~iext(uri_ex_p,X0,X1)|~iext(sK8_skl,X1,X2)|iext(uri_owl_sameAs,X0,X2))),
% 0.09/0.42 inference(resolution,[status(thm)],[f186,f49])).
% 0.09/0.42 fof(f188,plain,(
% 0.09/0.42 ![X0]: (~iext(uri_ex_p,X0,sK5_skl(uri_ex_p))|iext(uri_owl_sameAs,X0,sK4_skl(uri_ex_p))|~sQ9_spl)),
% 0.09/0.42 inference(resolution,[status(thm)],[f187,f125])).
% 0.09/0.42 fof(f191,plain,(
% 0.09/0.42 iext(uri_owl_sameAs,sK3_skl(uri_ex_p),sK4_skl(uri_ex_p))|~sQ9_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f188,f76])).
% 0.09/0.42 fof(f194,plain,(
% 0.09/0.42 sK3_skl(uri_ex_p)=sK4_skl(uri_ex_p)|~sQ9_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f191,f15])).
% 0.09/0.42 fof(f200,plain,(
% 0.09/0.42 icext(uri_owl_InverseFunctionalProperty,uri_ex_p)|~ip(uri_ex_p)|~sQ9_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f194,f36])).
% 0.09/0.42 fof(f202,plain,(
% 0.09/0.42 sQ2_spl|~sQ19_spl|~sQ9_spl|~sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f200,f72,f176,f117,f75])).
% 0.09/0.42 fof(f207,plain,(
% 0.09/0.42 $false|sQ19_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f178,f57])).
% 0.09/0.42 fof(f208,plain,(
% 0.09/0.42 sQ19_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f207])).
% 0.09/0.42 fof(f209,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(sat_refutation,[status(thm)],[f78,f93,f120,f202,f208])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.074157 seconds
% 0.09/0.46 % CPU time: 0.289443 seconds
% 0.09/0.46 % Total memory used: 83.000 MB
% 0.09/0.46 % Net memory used: 82.707 MB
%------------------------------------------------------------------------------