TSTP Solution File: SWB013+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB013+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:38:33 EDT 2023
% Result : Theorem 74.70s 9.88s
% Output : CNFRefutation 74.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWB013+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:03:52 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.35 % Drodi V3.5.1
% 74.70/9.88 % Refutation found
% 74.70/9.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 74.70/9.88 % SZS output start CNFRefutation for theBenchmark
% 74.70/9.88 fof(f25,axiom,(
% 74.70/9.88 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f68,axiom,(
% 74.70/9.88 (! [C,D] :( iext(uri_rdfs_subClassOf,C,D)=> ( ic(C)& ic(D)& (! [X] :( icext(C,X)=> icext(D,X) ) )) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f73,axiom,(
% 74.70/9.88 (! [P,Q] :( iext(uri_rdfs_subPropertyOf,P,Q)=> ( ip(P)& ip(Q)& (! [X,Y] :( iext(P,X,Y)=> iext(Q,X,Y) ) )) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f340,axiom,(
% 74.70/9.88 (! [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) ) )) )) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f354,axiom,(
% 74.70/9.88 (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f390,axiom,(
% 74.70/9.88 (! [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) ) )) ) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f391,axiom,(
% 74.70/9.88 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f559,conjecture,(
% 74.70/9.88 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) ),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f560,negated_conjecture,(
% 74.70/9.88 ~(iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) )),
% 74.70/9.88 inference(negated_conjecture,[status(cth)],[f559])).
% 74.70/9.88 fof(f561,axiom,(
% 74.70/9.88 (? [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) ) )),
% 74.70/9.88 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 74.70/9.88 fof(f592,plain,(
% 74.70/9.88 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 74.70/9.88 inference(NNF_transformation,[status(esa)],[f25])).
% 74.70/9.88 fof(f593,plain,(
% 74.70/9.88 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 74.70/9.88 inference(miniscoping,[status(esa)],[f592])).
% 74.70/9.88 fof(f594,plain,(
% 74.70/9.88 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 74.70/9.88 inference(cnf_transformation,[status(esa)],[f593])).
% 74.70/9.88 fof(f654,plain,(
% 74.70/9.88 ![C,D]: (~iext(uri_rdfs_subClassOf,C,D)|((ic(C)&ic(D))&(![X]: (~icext(C,X)|icext(D,X)))))),
% 74.70/9.88 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 74.70/9.88 fof(f657,plain,(
% 74.70/9.88 ![X0,X1,X2]: (~iext(uri_rdfs_subClassOf,X0,X1)|~icext(X0,X2)|icext(X1,X2))),
% 74.70/9.88 inference(cnf_transformation,[status(esa)],[f654])).
% 74.70/9.88 fof(f665,plain,(
% 74.70/9.88 ![P,Q]: (~iext(uri_rdfs_subPropertyOf,P,Q)|((ip(P)&ip(Q))&(![X,Y]: (~iext(P,X,Y)|iext(Q,X,Y)))))),
% 74.70/9.88 inference(pre_NNF_transformation,[status(esa)],[f73])).
% 74.70/9.88 fof(f668,plain,(
% 74.70/9.88 ![X0,X1,X2,X3]: (~iext(uri_rdfs_subPropertyOf,X0,X1)|~iext(X0,X2,X3)|iext(X1,X2,X3))),
% 74.70/9.88 inference(cnf_transformation,[status(esa)],[f665])).
% 74.70/9.88 fof(f1706,plain,(
% 74.70/9.88 ![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))))))),
% 74.70/9.88 inference(pre_NNF_transformation,[status(esa)],[f340])).
% 74.70/9.88 fof(f1707,plain,(
% 74.70/9.88 ![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)))))))),
% 74.70/9.88 inference(NNF_transformation,[status(esa)],[f1706])).
% 74.70/9.88 fof(f1708,plain,(
% 74.70/9.88 ![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)))))))),
% 74.70/9.88 inference(miniscoping,[status(esa)],[f1707])).
% 74.70/9.88 fof(f1709,plain,(
% 74.70/9.88 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|((![X]: (~icext(Z,X)|(iext(P,X,sk0_110(X,C,P,Z))&icext(C,sk0_110(X,C,P,Z)))))&(![X]: (icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 74.70/9.88 inference(skolemization,[status(esa)],[f1708])).
% 74.70/9.89 fof(f1710,plain,(
% 74.70/9.89 ![X0,X1,X2,X3]: (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|~icext(X0,X3)|iext(X2,X3,sk0_110(X3,X1,X2,X0)))),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f1709])).
% 74.70/9.89 fof(f1832,plain,(
% 74.70/9.89 ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 74.70/9.89 inference(NNF_transformation,[status(esa)],[f354])).
% 74.70/9.89 fof(f1833,plain,(
% 74.70/9.89 (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 74.70/9.89 inference(miniscoping,[status(esa)],[f1832])).
% 74.70/9.89 fof(f1834,plain,(
% 74.70/9.89 ![X0,X1]: (~iext(uri_owl_sameAs,X0,X1)|X0=X1)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f1833])).
% 74.70/9.89 fof(f1986,plain,(
% 74.70/9.89 ![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))))))),
% 74.70/9.89 inference(pre_NNF_transformation,[status(esa)],[f390])).
% 74.70/9.89 fof(f1987,plain,(
% 74.70/9.89 ![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)))))))),
% 74.70/9.89 inference(NNF_transformation,[status(esa)],[f1986])).
% 74.70/9.89 fof(f1988,plain,(
% 74.70/9.89 ![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))))))))),
% 74.70/9.89 inference(miniscoping,[status(esa)],[f1987])).
% 74.70/9.89 fof(f1989,plain,(
% 74.70/9.89 ![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,sk0_162(P,P3,P2,P1,S1),sk0_165(P,P3,P2,P1,S1))&iext(P2,sk0_165(P,P3,P2,P1,S1),sk0_164(P,P3,P2,P1,S1)))&iext(P3,sk0_164(P,P3,P2,P1,S1),sk0_163(P,P3,P2,P1,S1)))&~iext(P,sk0_162(P,P3,P2,P1,S1),sk0_163(P,P3,P2,P1,S1))))))))),
% 74.70/9.89 inference(skolemization,[status(esa)],[f1988])).
% 74.70/9.89 fof(f1994,plain,(
% 74.70/9.89 ![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))),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f1989])).
% 74.70/9.89 fof(f1999,plain,(
% 74.70/9.89 ![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)))))))),
% 74.70/9.89 inference(NNF_transformation,[status(esa)],[f391])).
% 74.70/9.89 fof(f2000,plain,(
% 74.70/9.89 (![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)))))))),
% 74.70/9.89 inference(miniscoping,[status(esa)],[f1999])).
% 74.70/9.89 fof(f2001,plain,(
% 74.70/9.89 (![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,sk0_166(P2,P1),sk0_167(P2,P1))|~iext(P2,sk0_167(P2,P1),sk0_166(P2,P1)))&(iext(P1,sk0_166(P2,P1),sk0_167(P2,P1))|iext(P2,sk0_167(P2,P1),sk0_166(P2,P1)))))))),
% 74.70/9.89 inference(skolemization,[status(esa)],[f2000])).
% 74.70/9.89 fof(f2005,plain,(
% 74.70/9.89 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|iext(X0,X2,X3)|~iext(X1,X3,X2))),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2001])).
% 74.70/9.89 fof(f2405,plain,(
% 74.70/9.89 ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f560])).
% 74.70/9.89 fof(f2406,plain,(
% 74.70/9.89 (((?[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)),
% 74.70/9.89 inference(miniscoping,[status(esa)],[f561])).
% 74.70/9.89 fof(f2407,plain,(
% 74.70/9.89 (((((((((((((((((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,sk0_203))&iext(uri_rdf_type,sk0_203,uri_owl_Restriction))&iext(uri_owl_onProperty,sk0_203,uri_ex_sameCliqueAs))&iext(uri_owl_someValuesFrom,sk0_203,uri_ex_Clique))&iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty))&iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk0_202))&iext(uri_rdf_first,sk0_202,uri_rdf_type))&iext(uri_rdf_rest,sk0_202,sk0_201))&iext(uri_rdf_first,sk0_201,uri_ex_sameCliqueAs))&iext(uri_rdf_rest,sk0_201,sk0_200))&iext(uri_rdf_first,sk0_200,sk0_199))&iext(uri_rdf_rest,sk0_200,uri_rdf_nil))&iext(uri_owl_inverseOf,sk0_199,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)),
% 74.70/9.89 inference(skolemization,[status(esa)],[f2406])).
% 74.70/9.89 fof(f2409,plain,(
% 74.70/9.89 iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2411,plain,(
% 74.70/9.89 iext(uri_rdfs_subClassOf,uri_ex_Clique,sk0_203)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2413,plain,(
% 74.70/9.89 iext(uri_owl_onProperty,sk0_203,uri_ex_sameCliqueAs)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2414,plain,(
% 74.70/9.89 iext(uri_owl_someValuesFrom,sk0_203,uri_ex_Clique)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2416,plain,(
% 74.70/9.89 iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk0_202)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2417,plain,(
% 74.70/9.89 iext(uri_rdf_first,sk0_202,uri_rdf_type)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2418,plain,(
% 74.70/9.89 iext(uri_rdf_rest,sk0_202,sk0_201)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2419,plain,(
% 74.70/9.89 iext(uri_rdf_first,sk0_201,uri_ex_sameCliqueAs)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2420,plain,(
% 74.70/9.89 iext(uri_rdf_rest,sk0_201,sk0_200)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2421,plain,(
% 74.70/9.89 iext(uri_rdf_first,sk0_200,sk0_199)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2422,plain,(
% 74.70/9.89 iext(uri_rdf_rest,sk0_200,uri_rdf_nil)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2423,plain,(
% 74.70/9.89 iext(uri_owl_inverseOf,sk0_199,uri_rdf_type)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2424,plain,(
% 74.70/9.89 iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2425,plain,(
% 74.70/9.89 iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2426,plain,(
% 74.70/9.89 iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
% 74.70/9.89 inference(cnf_transformation,[status(esa)],[f2407])).
% 74.70/9.89 fof(f2695,plain,(
% 74.70/9.89 icext(uri_ex_Clique,uri_ex_JoesGang)),
% 74.70/9.89 inference(resolution,[status(thm)],[f2424,f594])).
% 74.70/9.89 fof(f2935,plain,(
% 74.70/9.89 ![X0]: (~icext(uri_ex_Clique,X0)|icext(sk0_203,X0))),
% 74.70/9.89 inference(resolution,[status(thm)],[f657,f2411])).
% 74.70/9.89 fof(f3187,plain,(
% 74.70/9.89 ![X0,X1]: (~iext(uri_ex_sameCliqueAs,X0,X1)|iext(uri_owl_sameAs,X0,X1))),
% 74.70/9.89 inference(resolution,[status(thm)],[f668,f2409])).
% 74.70/9.89 fof(f5859,plain,(
% 74.70/9.89 icext(sk0_203,uri_ex_JoesGang)),
% 74.70/9.89 inference(resolution,[status(thm)],[f2935,f2695])).
% 74.70/9.89 fof(f5910,plain,(
% 74.70/9.89 ![X0,X1]: (iext(sk0_199,X0,X1)|~iext(uri_rdf_type,X1,X0))),
% 74.70/9.89 inference(resolution,[status(thm)],[f2005,f2423])).
% 74.70/9.89 fof(f5919,plain,(
% 74.70/9.89 iext(sk0_199,uri_ex_JoesGang,uri_ex_bob)),
% 74.70/9.89 inference(resolution,[status(thm)],[f5910,f2426])).
% 74.70/9.89 fof(f6299,plain,(
% 74.70/9.89 spl0_351 <=> iext(uri_rdf_rest,sk0_200,uri_rdf_nil)),
% 74.70/9.89 introduced(split_symbol_definition)).
% 74.70/9.89 fof(f6301,plain,(
% 74.70/9.89 ~iext(uri_rdf_rest,sk0_200,uri_rdf_nil)|spl0_351),
% 74.70/9.89 inference(component_clause,[status(thm)],[f6299])).
% 74.70/9.89 fof(f6332,plain,(
% 74.70/9.89 $false|spl0_351),
% 74.70/9.89 inference(forward_subsumption_resolution,[status(thm)],[f6301,f2422])).
% 74.70/9.89 fof(f6333,plain,(
% 74.70/9.89 spl0_351),
% 74.70/9.89 inference(contradiction_clause,[status(thm)],[f6332])).
% 74.70/9.89 fof(f6840,plain,(
% 74.70/9.89 ![X0,X1]: (~iext(uri_owl_onProperty,sk0_203,X0)|~icext(sk0_203,X1)|iext(X0,X1,sk0_110(X1,uri_ex_Clique,X0,sk0_203)))),
% 74.70/9.89 inference(resolution,[status(thm)],[f1710,f2414])).
% 74.70/9.89 fof(f6841,plain,(
% 74.70/9.89 ![X0]: (~icext(sk0_203,X0)|iext(uri_ex_sameCliqueAs,X0,sk0_110(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_203)))),
% 74.70/9.89 inference(resolution,[status(thm)],[f6840,f2413])).
% 74.70/9.89 fof(f6842,plain,(
% 74.70/9.89 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sk0_110(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_203))),
% 74.70/9.89 inference(resolution,[status(thm)],[f6841,f5859])).
% 74.70/9.89 fof(f6843,plain,(
% 74.70/9.89 iext(uri_owl_sameAs,uri_ex_JoesGang,sk0_110(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_203))),
% 74.70/9.89 inference(resolution,[status(thm)],[f6842,f3187])).
% 74.70/9.89 fof(f6863,plain,(
% 74.70/9.89 uri_ex_JoesGang=sk0_110(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_203)),
% 74.70/9.89 inference(resolution,[status(thm)],[f6843,f1834])).
% 74.70/9.89 fof(f6874,plain,(
% 74.70/9.89 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
% 74.70/9.89 inference(paramodulation,[status(thm)],[f6863,f6842])).
% 74.70/9.89 fof(f16307,plain,(
% 74.70/9.89 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~iext(uri_rdf_rest,sk0_202,X0)|~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,sk0_202)|~iext(uri_rdf_type,X5,X6)|~iext(X1,X6,X7)|~iext(X3,X7,X8)|iext(X4,X5,X8))),
% 74.70/9.91 inference(resolution,[status(thm)],[f1994,f2417])).
% 74.70/9.91 fof(f16308,plain,(
% 74.70/9.91 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~iext(uri_rdf_first,sk0_201,X0)|~iext(uri_rdf_rest,sk0_201,X1)|~iext(uri_rdf_first,X1,X2)|~iext(uri_rdf_rest,X1,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X3,sk0_202)|~iext(uri_rdf_type,X4,X5)|~iext(X0,X5,X6)|~iext(X2,X6,X7)|iext(X3,X4,X7))),
% 74.70/9.91 inference(resolution,[status(thm)],[f16307,f2418])).
% 74.70/9.91 fof(f16309,plain,(
% 74.70/9.91 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_rest,sk0_201,X0)|~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X2,sk0_202)|~iext(uri_rdf_type,X3,X4)|~iext(uri_ex_sameCliqueAs,X4,X5)|~iext(X1,X5,X6)|iext(X2,X3,X6))),
% 74.70/9.91 inference(resolution,[status(thm)],[f16308,f2419])).
% 74.70/9.91 fof(f16310,plain,(
% 74.70/9.91 spl0_1530 <=> ~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_owl_propertyChainAxiom,X1,sk0_202)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5)),
% 74.70/9.91 introduced(split_symbol_definition)).
% 74.70/9.91 fof(f16311,plain,(
% 74.70/9.91 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_owl_propertyChainAxiom,X1,sk0_202)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5)|~spl0_1530)),
% 74.70/9.91 inference(component_clause,[status(thm)],[f16310])).
% 74.70/9.91 fof(f16313,plain,(
% 74.70/9.91 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sk0_200,X0)|~iext(uri_rdf_rest,sk0_200,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X1,sk0_202)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5))),
% 74.70/9.91 inference(resolution,[status(thm)],[f16309,f2420])).
% 74.70/9.91 fof(f16314,plain,(
% 74.70/9.91 spl0_1530|~spl0_351),
% 74.70/9.91 inference(split_clause,[status(thm)],[f16313,f16310,f6299])).
% 74.70/9.91 fof(f16315,plain,(
% 74.70/9.91 ![X0,X1,X2,X3,X4]: (~iext(uri_owl_propertyChainAxiom,X0,sk0_202)|~iext(uri_rdf_type,X1,X2)|~iext(uri_ex_sameCliqueAs,X2,X3)|~iext(sk0_199,X3,X4)|iext(X0,X1,X4)|~spl0_1530)),
% 74.70/9.91 inference(resolution,[status(thm)],[f16311,f2421])).
% 74.70/9.91 fof(f16316,plain,(
% 74.70/9.91 ![X0,X1,X2,X3]: (~iext(uri_rdf_type,X0,X1)|~iext(uri_ex_sameCliqueAs,X1,X2)|~iext(sk0_199,X2,X3)|iext(uri_foaf_knows,X0,X3)|~spl0_1530)),
% 74.70/9.91 inference(resolution,[status(thm)],[f16315,f2416])).
% 74.70/9.91 fof(f16338,plain,(
% 74.70/9.91 ![X0,X1]: (~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0)|~iext(sk0_199,X0,X1)|iext(uri_foaf_knows,uri_ex_alice,X1)|~spl0_1530)),
% 74.70/9.91 inference(resolution,[status(thm)],[f16316,f2425])).
% 74.70/9.91 fof(f19010,plain,(
% 74.70/9.91 spl0_1799 <=> iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
% 74.70/9.91 introduced(split_symbol_definition)).
% 74.70/9.91 fof(f19012,plain,(
% 74.70/9.91 ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|spl0_1799),
% 74.70/9.91 inference(component_clause,[status(thm)],[f19010])).
% 74.70/9.91 fof(f19013,plain,(
% 74.70/9.91 spl0_1800 <=> iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 74.70/9.91 introduced(split_symbol_definition)).
% 74.70/9.91 fof(f19014,plain,(
% 74.70/9.91 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)|~spl0_1800),
% 74.70/9.91 inference(component_clause,[status(thm)],[f19013])).
% 74.70/9.91 fof(f19016,plain,(
% 74.70/9.91 ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)|~spl0_1530),
% 74.70/9.91 inference(resolution,[status(thm)],[f16338,f5919])).
% 74.70/9.91 fof(f19017,plain,(
% 74.70/9.91 ~spl0_1799|spl0_1800|~spl0_1530),
% 74.70/9.91 inference(split_clause,[status(thm)],[f19016,f19010,f19013,f16310])).
% 74.70/9.91 fof(f19053,plain,(
% 74.70/9.91 $false|spl0_1799),
% 74.70/9.91 inference(forward_subsumption_resolution,[status(thm)],[f19012,f6874])).
% 74.70/9.91 fof(f19054,plain,(
% 74.70/9.91 spl0_1799),
% 74.70/9.91 inference(contradiction_clause,[status(thm)],[f19053])).
% 74.70/9.91 fof(f19055,plain,(
% 74.70/9.91 $false|~spl0_1800),
% 74.70/9.91 inference(forward_subsumption_resolution,[status(thm)],[f19014,f2405])).
% 74.70/9.91 fof(f19056,plain,(
% 74.70/9.91 ~spl0_1800),
% 74.70/9.91 inference(contradiction_clause,[status(thm)],[f19055])).
% 74.70/9.91 fof(f19057,plain,(
% 74.70/9.91 $false),
% 74.70/9.91 inference(sat_refutation,[status(thm)],[f6333,f16314,f19017,f19054,f19056])).
% 74.70/9.91 % SZS output end CNFRefutation for theBenchmark.p
% 74.70/9.92 % Elapsed time: 9.607411 seconds
% 74.70/9.92 % CPU time: 75.184150 seconds
% 74.70/9.92 % Memory used: 257.967 MB
%------------------------------------------------------------------------------