%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWB013+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 : 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 02:37:29 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB013+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
% 0.08/0.35 % 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 : Mon Sep 21 07:39:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f1,axiom,(
% 0.12/0.41 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f2,axiom,(
% 0.12/0.41 (! [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) ) )) )) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f3,axiom,(
% 0.12/0.41 (! [C1,C2] :( iext(uri_rdfs_subClassOf,C1,C2)<=> ( ic(C1)& ic(C2)& (! [X] :( icext(C1,X)=> icext(C2,X) ) )) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f4,axiom,(
% 0.12/0.41 (! [P1,P2] :( iext(uri_rdfs_subPropertyOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)=> iext(P2,X,Y) ) )) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f5,axiom,(
% 0.12/0.41 (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f6,axiom,(
% 0.12/0.41 (! [P,S1,P1,S2,P2,S3,P3] :( ( iext(uri_rdf_first,S1,P1)& iext(uri_rdf_rest,S1,S2)& iext(uri_rdf_first,S2,P2)& iext(uri_rdf_rest,S2,S3)& iext(uri_rdf_first,S3,P3)& iext(uri_rdf_rest,S3,uri_rdf_nil) )=> ( iext(uri_owl_propertyChainAxiom,P,S1)<=> ( ip(P)& ip(P1)& ip(P2)& ip(P3)& (! [Y0,Y1,Y2,Y3] :( ( iext(P1,Y0,Y1)& iext(P2,Y1,Y2)& iext(P3,Y2,Y3) )=> iext(P,Y0,Y3) ) )) ) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f7,axiom,(
% 0.12/0.41 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f8,conjecture,(
% 0.12/0.41 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f9,negated_conjecture,(
% 0.12/0.41 ~(iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) )),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f8])).
% 0.12/0.41 fof(f10,axiom,(
% 0.12/0.41 (? [BNODE_r,BNODE_i,BNODE_l1,BNODE_l2,BNODE_l3] :( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)& iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r)& iext(uri_rdf_type,BNODE_r,uri_owl_Restriction)& iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs)& iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique)& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1)& iext(uri_rdf_first,BNODE_l1,uri_rdf_type)& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)& iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs)& iext(uri_rdf_rest,BNODE_l2,BNODE_l3)& iext(uri_rdf_first,BNODE_l3,BNODE_i)& iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)& iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type)& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ) )),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f11,plain,(
% 0.12/0.41 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f1])).
% 0.12/0.41 fof(f12,plain,(
% 0.12/0.41 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.41 fof(f13,plain,(
% 0.12/0.41 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.41 fof(f15,plain,(
% 0.12/0.41 ![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))))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.41 fof(f16,plain,(
% 0.12/0.41 ![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)))))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f15])).
% 0.12/0.41 fof(f17,plain,(
% 0.12/0.41 ![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)))))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f16])).
% 0.12/0.41 fof(f18,plain,(
% 0.12/0.41 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|((![X]: (~icext(Z,X)|(iext(P,X,sK0_skl(X,C,P,Z))&icext(C,sK0_skl(X,C,P,Z)))))&(![X]: (icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X,C,P,Z))],[f17])).
% 0.12/0.41 fof(f19,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|~icext(X0,X3)|iext(X2,X3,sK0_skl(X3,X1,X2,X0)))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.41 fof(f22,plain,(
% 0.12/0.41 ![C1,C2]: (iext(uri_rdfs_subClassOf,C1,C2)<=>((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X)))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.41 fof(f23,plain,(
% 0.12/0.41 ![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))))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f22])).
% 0.12/0.41 fof(f24,plain,(
% 0.12/0.41 (![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))))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f23])).
% 0.12/0.41 fof(f25,plain,(
% 0.12/0.41 (![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,sK1_skl(C2,C1))&~icext(C2,sK1_skl(C2,C1))))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(C2,C1))],[f24])).
% 0.12/0.41 fof(f28,plain,(
% 0.12/0.41 ![X0,X1,X2]: (~iext(uri_rdfs_subClassOf,X0,X1)|~icext(X0,X2)|icext(X1,X2))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.41 fof(f31,plain,(
% 0.12/0.41 ![P1,P2]: (iext(uri_rdfs_subPropertyOf,P1,P2)<=>((ip(P1)&ip(P2))&(![X,Y]: (~iext(P1,X,Y)|iext(P2,X,Y)))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.12/0.41 fof(f32,plain,(
% 0.12/0.41 ![P1,P2]: ((~iext(uri_rdfs_subPropertyOf,P1,P2)|((ip(P1)&ip(P2))&(![X,Y]: (~iext(P1,X,Y)|iext(P2,X,Y)))))&(iext(uri_rdfs_subPropertyOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: (iext(P1,X,Y)&~iext(P2,X,Y))))))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f31])).
% 0.12/0.41 fof(f33,plain,(
% 0.12/0.41 (![P1,P2]: (~iext(uri_rdfs_subPropertyOf,P1,P2)|((ip(P1)&ip(P2))&(![X,Y]: (~iext(P1,X,Y)|iext(P2,X,Y))))))&(![P1,P2]: (iext(uri_rdfs_subPropertyOf,P1,P2)|((~ip(P1)|~ip(P2))|(?[X,Y]: (iext(P1,X,Y)&~iext(P2,X,Y))))))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f32])).
% 0.12/0.41 fof(f34,plain,(
% 0.12/0.41 (![P1,P2]: (~iext(uri_rdfs_subPropertyOf,P1,P2)|((ip(P1)&ip(P2))&(![X,Y]: (~iext(P1,X,Y)|iext(P2,X,Y))))))&(![P1,P2]: (iext(uri_rdfs_subPropertyOf,P1,P2)|((~ip(P1)|~ip(P2))|(iext(P1,sK2_skl(P2,P1),sK3_skl(P2,P1))&~iext(P2,sK2_skl(P2,P1),sK3_skl(P2,P1))))))),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl(P2,P1)),skolemize(Y,sK3_skl(P2,P1))],[f33])).
% 0.12/0.41 fof(f37,plain,(
% 0.12/0.41 ![X0,X1,X2,X3]: (~iext(uri_rdfs_subPropertyOf,X0,X1)|~iext(X0,X2,X3)|iext(X1,X2,X3))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.41 fof(f40,plain,(
% 0.12/0.41 ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.12/0.41 inference(NNF_transformation,[status(thm)],[f5])).
% 0.12/0.41 fof(f41,plain,(
% 0.12/0.41 (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.12/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.12/0.41 fof(f42,plain,(
% 0.12/0.41 ![X0,X1]: (~iext(uri_owl_sameAs,X0,X1)|X0=X1)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/0.41 fof(f44,plain,(
% 0.12/0.41 ![P,S1,P1,S2,P2,S3,P3]: ((((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,S3))|~iext(uri_rdf_first,S3,P3))|~iext(uri_rdf_rest,S3,uri_rdf_nil))|(iext(uri_owl_propertyChainAxiom,P,S1)<=>((((ip(P)&ip(P1))&ip(P2))&ip(P3))&(![Y0,Y1,Y2,Y3]: (((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|~iext(P3,Y2,Y3))|iext(P,Y0,Y3))))))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.12/0.41 fof(f45,plain,(
% 0.12/0.41 ![P,S1,P1,S2,P2,S3,P3]: ((((((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,S3))|~iext(uri_rdf_first,S3,P3))|~iext(uri_rdf_rest,S3,uri_rdf_nil))|((~iext(uri_owl_propertyChainAxiom,P,S1)|((((ip(P)&ip(P1))&ip(P2))&ip(P3))&(![Y0,Y1,Y2,Y3]: (((~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2))|~iext(P3,Y2,Y3))|iext(P,Y0,Y3)))))&(iext(uri_owl_propertyChainAxiom,P,S1)|((((~ip(P)|~ip(P1))|~ip(P2))|~ip(P3))|(?[Y0,Y1,Y2,Y3]: (((iext(P1,Y0,Y1)&iext(P2,Y1,Y2))&iext(P3,Y2,Y3))&~iext(P,Y0,Y3)))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f44])).
% 0.12/0.42 fof(f46,plain,(
% 0.12/0.42 ![S1,P1,P2,P3]: ((![S3]: (((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,S3)))|~iext(uri_rdf_first,S3,P3))|~iext(uri_rdf_rest,S3,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|((((ip(P)&ip(P1))&ip(P2))&ip(P3))&(![Y0,Y3]: ((![Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|~iext(P3,Y2,Y3)))|iext(P,Y0,Y3))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|((((~ip(P)|~ip(P1))|~ip(P2))|~ip(P3))|(?[Y0,Y3]: ((?[Y2]: ((?[Y1]: (iext(P1,Y0,Y1)&iext(P2,Y1,Y2)))&iext(P3,Y2,Y3)))&~iext(P,Y0,Y3))))))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f45])).
% 0.12/0.42 fof(f47,plain,(
% 0.12/0.42 ![S1,P1,P2,P3]: ((![S3]: (((![S2]: (((~iext(uri_rdf_first,S1,P1)|~iext(uri_rdf_rest,S1,S2))|~iext(uri_rdf_first,S2,P2))|~iext(uri_rdf_rest,S2,S3)))|~iext(uri_rdf_first,S3,P3))|~iext(uri_rdf_rest,S3,uri_rdf_nil)))|((![P]: (~iext(uri_owl_propertyChainAxiom,P,S1)|((((ip(P)&ip(P1))&ip(P2))&ip(P3))&(![Y0,Y3]: ((![Y2]: ((![Y1]: (~iext(P1,Y0,Y1)|~iext(P2,Y1,Y2)))|~iext(P3,Y2,Y3)))|iext(P,Y0,Y3))))))&(![P]: (iext(uri_owl_propertyChainAxiom,P,S1)|((((~ip(P)|~ip(P1))|~ip(P2))|~ip(P3))|(((iext(P1,sK4_skl(P,P3,P2,P1,S1),sK7_skl(P,P3,P2,P1,S1))&iext(P2,sK7_skl(P,P3,P2,P1,S1),sK6_skl(P,P3,P2,P1,S1)))&iext(P3,sK6_skl(P,P3,P2,P1,S1),sK5_skl(P,P3,P2,P1,S1)))&~iext(P,sK4_skl(P,P3,P2,P1,S1),sK5_skl(P,P3,P2,P1,S1))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl,sK7_skl]),skolemize(Y0,sK4_skl(P,P3,P2,P1,S1)),skolemize(Y3,sK5_skl(P,P3,P2,P1,S1)),skolemize(Y2,sK6_skl(P,P3,P2,P1,S1)),skolemize(Y1,sK7_skl(P,P3,P2,P1,S1))],[f46])).
% 0.12/0.42 fof(f52,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,X4)|~iext(uri_rdf_first,X4,X5)|~iext(uri_rdf_rest,X4,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X6,X0)|~iext(X1,X7,X8)|~iext(X3,X8,X9)|~iext(X5,X9,X10)|iext(X6,X7,X10))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.42 fof(f57,plain,(
% 0.12/0.42 ![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)))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f7])).
% 0.12/0.42 fof(f58,plain,(
% 0.12/0.42 (![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)))))))),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f57])).
% 0.12/0.42 fof(f59,plain,(
% 0.12/0.42 (![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,sK8_skl(P2,P1),sK9_skl(P2,P1))|~iext(P2,sK9_skl(P2,P1),sK8_skl(P2,P1)))&(iext(P1,sK8_skl(P2,P1),sK9_skl(P2,P1))|iext(P2,sK9_skl(P2,P1),sK8_skl(P2,P1)))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(X,sK8_skl(P2,P1)),skolemize(Y,sK9_skl(P2,P1))],[f58])).
% 0.12/0.42 fof(f63,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|iext(X0,X2,X3)|~iext(X1,X3,X2))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f59])).
% 0.12/0.42 fof(f66,plain,(
% 0.12/0.42 ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.42 fof(f67,plain,(
% 0.12/0.42 (((?[BNODE_i]: ((?[BNODE_l3]: (((?[BNODE_l2]: (((?[BNODE_l1]: (((((?[BNODE_r]: ((((((iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)&iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs))&iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique))&iext(uri_rdfs_subClassOf,uri_ex_Clique,BNODE_r))&iext(uri_rdf_type,BNODE_r,uri_owl_Restriction))&iext(uri_owl_onProperty,BNODE_r,uri_ex_sameCliqueAs))&iext(uri_owl_someValuesFrom,BNODE_r,uri_ex_Clique)))&iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty))&iext(uri_owl_propertyChainAxiom,uri_foaf_knows,BNODE_l1))&iext(uri_rdf_first,BNODE_l1,uri_rdf_type))&iext(uri_rdf_rest,BNODE_l1,BNODE_l2)))&iext(uri_rdf_first,BNODE_l2,uri_ex_sameCliqueAs))&iext(uri_rdf_rest,BNODE_l2,BNODE_l3)))&iext(uri_rdf_first,BNODE_l3,BNODE_i))&iext(uri_rdf_rest,BNODE_l3,uri_rdf_nil)))&iext(uri_owl_inverseOf,BNODE_i,uri_rdf_type)))&iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique))&iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang))&iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
% 0.12/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.12/0.42 fof(f68,plain,(
% 0.12/0.42 (((((((((((((((((iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)&iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs))&iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique))&iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14_skl))&iext(uri_rdf_type,sK14_skl,uri_owl_Restriction))&iext(uri_owl_onProperty,sK14_skl,uri_ex_sameCliqueAs))&iext(uri_owl_someValuesFrom,sK14_skl,uri_ex_Clique))&iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty))&iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK13_skl))&iext(uri_rdf_first,sK13_skl,uri_rdf_type))&iext(uri_rdf_rest,sK13_skl,sK12_skl))&iext(uri_rdf_first,sK12_skl,uri_ex_sameCliqueAs))&iext(uri_rdf_rest,sK12_skl,sK11_skl))&iext(uri_rdf_first,sK11_skl,sK10_skl))&iext(uri_rdf_rest,sK11_skl,uri_rdf_nil))&iext(uri_owl_inverseOf,sK10_skl,uri_rdf_type))&iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique))&iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang))&iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(BNODE_i,sK10_skl),skolemize(BNODE_l3,sK11_skl),skolemize(BNODE_l2,sK12_skl),skolemize(BNODE_l1,sK13_skl),skolemize(BNODE_r,sK14_skl)],[f67])).
% 0.12/0.42 fof(f70,plain,(
% 0.12/0.42 iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f72,plain,(
% 0.12/0.42 iext(uri_rdfs_subClassOf,uri_ex_Clique,sK14_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f74,plain,(
% 0.12/0.42 iext(uri_owl_onProperty,sK14_skl,uri_ex_sameCliqueAs)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f75,plain,(
% 0.12/0.42 iext(uri_owl_someValuesFrom,sK14_skl,uri_ex_Clique)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f77,plain,(
% 0.12/0.42 iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK13_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f78,plain,(
% 0.12/0.42 iext(uri_rdf_first,sK13_skl,uri_rdf_type)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f79,plain,(
% 0.12/0.42 iext(uri_rdf_rest,sK13_skl,sK12_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f80,plain,(
% 0.12/0.42 iext(uri_rdf_first,sK12_skl,uri_ex_sameCliqueAs)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f81,plain,(
% 0.12/0.42 iext(uri_rdf_rest,sK12_skl,sK11_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f82,plain,(
% 0.12/0.42 iext(uri_rdf_first,sK11_skl,sK10_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f83,plain,(
% 0.12/0.42 iext(uri_rdf_rest,sK11_skl,uri_rdf_nil)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f84,plain,(
% 0.12/0.42 iext(uri_owl_inverseOf,sK10_skl,uri_rdf_type)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f85,plain,(
% 0.12/0.42 iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f86,plain,(
% 0.12/0.42 iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f87,plain,(
% 0.12/0.42 iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.42 fof(f94,plain,(
% 0.12/0.42 ![X0,X1]: (~iext(uri_ex_sameCliqueAs,X0,X1)|iext(uri_owl_sameAs,X0,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f70,f37])).
% 0.12/0.42 fof(f95,plain,(
% 0.12/0.42 ![X0]: (~icext(uri_ex_Clique,X0)|icext(sK14_skl,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f72,f28])).
% 0.12/0.42 fof(f97,plain,(
% 0.12/0.42 ![X0,X1]: (~iext(uri_owl_someValuesFrom,sK14_skl,X0)|~icext(sK14_skl,X1)|iext(uri_ex_sameCliqueAs,X1,sK0_skl(X1,X0,uri_ex_sameCliqueAs,sK14_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f74,f19])).
% 0.12/0.42 fof(f100,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,X2)|~iext(uri_rdf_first,X2,X3)|~iext(uri_rdf_rest,X2,sK11_skl)|~iext(uri_rdf_first,sK11_skl,X4)|~iext(uri_owl_propertyChainAxiom,X5,X0)|~iext(X1,X6,X7)|~iext(X3,X7,X8)|~iext(X4,X8,X9)|iext(X5,X6,X9))),
% 0.12/0.42 inference(resolution,[status(thm)],[f83,f52])).
% 0.12/0.42 fof(f105,plain,(
% 0.12/0.42 ![X0,X1]: (iext(sK10_skl,X0,X1)|~iext(uri_rdf_type,X1,X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f84,f63])).
% 0.12/0.42 fof(f107,plain,(
% 0.12/0.42 icext(uri_ex_Clique,uri_ex_JoesGang)),
% 0.12/0.42 inference(resolution,[status(thm)],[f85,f13])).
% 0.12/0.42 fof(f108,plain,(
% 0.12/0.42 ![X0]: (~icext(sK14_skl,X0)|iext(uri_ex_sameCliqueAs,X0,sK0_skl(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f97,f75])).
% 0.12/0.42 fof(f112,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,sK12_skl)|~iext(uri_rdf_first,sK12_skl,X2)|~iext(uri_rdf_first,sK11_skl,X3)|~iext(uri_owl_propertyChainAxiom,X4,X0)|~iext(X1,X5,X6)|~iext(X2,X6,X7)|~iext(X3,X7,X8)|iext(X4,X5,X8))),
% 0.12/0.42 inference(resolution,[status(thm)],[f100,f81])).
% 0.12/0.42 fof(f118,plain,(
% 0.12/0.42 iext(sK10_skl,uri_ex_JoesGang,uri_ex_bob)),
% 0.12/0.42 inference(resolution,[status(thm)],[f105,f87])).
% 0.12/0.42 fof(f122,plain,(
% 0.12/0.42 icext(sK14_skl,uri_ex_JoesGang)),
% 0.12/0.42 inference(resolution,[status(thm)],[f107,f95])).
% 0.12/0.42 fof(f125,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~iext(uri_rdf_first,sK13_skl,X0)|~iext(uri_rdf_first,sK12_skl,X1)|~iext(uri_rdf_first,sK11_skl,X2)|~iext(uri_owl_propertyChainAxiom,X3,sK13_skl)|~iext(X0,X4,X5)|~iext(X1,X5,X6)|~iext(X2,X6,X7)|iext(X3,X4,X7))),
% 0.12/0.42 inference(resolution,[status(thm)],[f112,f79])).
% 0.12/0.42 fof(f131,plain,(
% 0.12/0.42 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK0_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f122,f108])).
% 0.12/0.42 fof(f134,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_first,sK12_skl,X0)|~iext(uri_rdf_first,sK11_skl,X1)|~iext(uri_owl_propertyChainAxiom,X2,sK13_skl)|~iext(uri_rdf_type,X3,X4)|~iext(X0,X4,X5)|~iext(X1,X5,X6)|iext(X2,X3,X6))),
% 0.12/0.42 inference(resolution,[status(thm)],[f125,f78])).
% 0.12/0.42 fof(f139,plain,(
% 0.12/0.42 iext(uri_owl_sameAs,uri_ex_JoesGang,sK0_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f131,f94])).
% 0.12/0.42 fof(f140,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sK11_skl,X0)|~iext(uri_owl_propertyChainAxiom,X1,sK13_skl)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5))),
% 0.12/0.42 inference(resolution,[status(thm)],[f134,f80])).
% 0.12/0.42 fof(f145,plain,(
% 0.12/0.42 uri_ex_JoesGang=sK0_skl(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sK14_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f139,f42])).
% 0.12/0.42 fof(f147,plain,(
% 0.12/0.42 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
% 0.12/0.42 inference(backward_demodulation,[status(thm)],[f145,f131])).
% 0.12/0.42 fof(f148,plain,(
% 0.12/0.42 ![X0,X1,X2,X3,X4]: (~iext(uri_owl_propertyChainAxiom,X0,sK13_skl)|~iext(uri_rdf_type,X1,X2)|~iext(uri_ex_sameCliqueAs,X2,X3)|~iext(sK10_skl,X3,X4)|iext(X0,X1,X4))),
% 0.12/0.42 inference(resolution,[status(thm)],[f140,f82])).
% 0.12/0.42 fof(f154,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~iext(uri_rdf_type,X0,X1)|~iext(uri_ex_sameCliqueAs,X1,X2)|~iext(sK10_skl,X2,X3)|iext(uri_foaf_knows,X0,X3))),
% 0.12/0.42 inference(resolution,[status(thm)],[f148,f77])).
% 0.12/0.42 fof(f157,plain,(
% 0.12/0.42 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|~iext(uri_ex_sameCliqueAs,X1,uri_ex_JoesGang)|iext(uri_foaf_knows,X0,uri_ex_bob))),
% 0.12/0.42 inference(resolution,[status(thm)],[f154,f118])).
% 0.12/0.42 fof(f161,plain,(
% 0.12/0.42 ![X0]: (~iext(uri_rdf_type,X0,uri_ex_JoesGang)|iext(uri_foaf_knows,X0,uri_ex_bob))),
% 0.12/0.42 inference(resolution,[status(thm)],[f157,f147])).
% 0.12/0.42 fof(f163,plain,(
% 0.12/0.42 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 0.12/0.42 inference(resolution,[status(thm)],[f161,f86])).
% 0.12/0.42 fof(f164,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f163,f66])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.072940 seconds
% 0.12/0.44 % CPU time: 0.320543 seconds
% 0.12/0.44 % Total memory used: 86.147 MB
% 0.12/0.44 % Net memory used: 85.723 MB
%------------------------------------------------------------------------------