TSTP Solution File: SWB013+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:38:34 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:57:04 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.37 fof(f1,axiom,(
% 0.20/0.37 (! [X,C] :( iext(uri_rdf_type,X,C)<=> icext(C,X) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f2,axiom,(
% 0.20/0.37 (! [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) ) )) )) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f3,axiom,(
% 0.20/0.37 (! [C1,C2] :( iext(uri_rdfs_subClassOf,C1,C2)<=> ( ic(C1)& ic(C2)& (! [X] :( icext(C1,X)=> icext(C2,X) ) )) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f4,axiom,(
% 0.20/0.37 (! [P1,P2] :( iext(uri_rdfs_subPropertyOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)=> iext(P2,X,Y) ) )) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f5,axiom,(
% 0.20/0.37 (! [X,Y] :( iext(uri_owl_sameAs,X,Y)<=> X = Y ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f6,axiom,(
% 0.20/0.37 (! [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) ) )) ) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f7,axiom,(
% 0.20/0.37 (! [P1,P2] :( iext(uri_owl_inverseOf,P1,P2)<=> ( ip(P1)& ip(P2)& (! [X,Y] :( iext(P1,X,Y)<=> iext(P2,Y,X) ) )) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f8,conjecture,(
% 0.20/0.37 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) ),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f9,negated_conjecture,(
% 0.20/0.37 ~(iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) )),
% 0.20/0.37 inference(negated_conjecture,[status(cth)],[f8])).
% 0.20/0.37 fof(f10,axiom,(
% 0.20/0.37 (? [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) ) )),
% 0.20/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.37 fof(f11,plain,(
% 0.20/0.37 ![X,C]: ((~iext(uri_rdf_type,X,C)|icext(C,X))&(iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f1])).
% 0.20/0.37 fof(f12,plain,(
% 0.20/0.37 (![X,C]: (~iext(uri_rdf_type,X,C)|icext(C,X)))&(![X,C]: (iext(uri_rdf_type,X,C)|~icext(C,X)))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f11])).
% 0.20/0.37 fof(f13,plain,(
% 0.20/0.37 ![X0,X1]: (~iext(uri_rdf_type,X0,X1)|icext(X1,X0))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.37 fof(f15,plain,(
% 0.20/0.37 ![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))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.37 fof(f16,plain,(
% 0.20/0.37 ![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)))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f15])).
% 0.20/0.37 fof(f17,plain,(
% 0.20/0.37 ![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)))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f16])).
% 0.20/0.37 fof(f18,plain,(
% 0.20/0.37 ![Z,P,C]: ((~iext(uri_owl_someValuesFrom,Z,C)|~iext(uri_owl_onProperty,Z,P))|((![X]: (~icext(Z,X)|(iext(P,X,sk0_0(X,C,P,Z))&icext(C,sk0_0(X,C,P,Z)))))&(![X]: (icext(Z,X)|(![Y]: (~iext(P,X,Y)|~icext(C,Y)))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f17])).
% 0.20/0.37 fof(f19,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~iext(uri_owl_someValuesFrom,X0,X1)|~iext(uri_owl_onProperty,X0,X2)|~icext(X0,X3)|iext(X2,X3,sk0_0(X3,X1,X2,X0)))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.37 fof(f22,plain,(
% 0.20/0.37 ![C1,C2]: (iext(uri_rdfs_subClassOf,C1,C2)<=>((ic(C1)&ic(C2))&(![X]: (~icext(C1,X)|icext(C2,X)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.37 fof(f23,plain,(
% 0.20/0.37 ![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))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f22])).
% 0.20/0.37 fof(f24,plain,(
% 0.20/0.37 (![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))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f23])).
% 0.20/0.37 fof(f25,plain,(
% 0.20/0.37 (![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,sk0_1(C2,C1))&~icext(C2,sk0_1(C2,C1))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f24])).
% 0.20/0.37 fof(f28,plain,(
% 0.20/0.37 ![X0,X1,X2]: (~iext(uri_rdfs_subClassOf,X0,X1)|~icext(X0,X2)|icext(X1,X2))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.37 fof(f31,plain,(
% 0.20/0.37 ![P1,P2]: (iext(uri_rdfs_subPropertyOf,P1,P2)<=>((ip(P1)&ip(P2))&(![X,Y]: (~iext(P1,X,Y)|iext(P2,X,Y)))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.37 fof(f32,plain,(
% 0.20/0.37 ![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))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f31])).
% 0.20/0.37 fof(f33,plain,(
% 0.20/0.37 (![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))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f32])).
% 0.20/0.37 fof(f34,plain,(
% 0.20/0.37 (![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,sk0_2(P2,P1),sk0_3(P2,P1))&~iext(P2,sk0_2(P2,P1),sk0_3(P2,P1))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f33])).
% 0.20/0.37 fof(f37,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~iext(uri_rdfs_subPropertyOf,X0,X1)|~iext(X0,X2,X3)|iext(X1,X2,X3))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.37 fof(f40,plain,(
% 0.20/0.37 ![X,Y]: ((~iext(uri_owl_sameAs,X,Y)|X=Y)&(iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f5])).
% 0.20/0.37 fof(f41,plain,(
% 0.20/0.37 (![X,Y]: (~iext(uri_owl_sameAs,X,Y)|X=Y))&(![X,Y]: (iext(uri_owl_sameAs,X,Y)|~X=Y))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f40])).
% 0.20/0.37 fof(f42,plain,(
% 0.20/0.37 ![X0,X1]: (~iext(uri_owl_sameAs,X0,X1)|X0=X1)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f41])).
% 0.20/0.37 fof(f44,plain,(
% 0.20/0.37 ![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))))))),
% 0.20/0.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.37 fof(f45,plain,(
% 0.20/0.37 ![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)))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f44])).
% 0.20/0.37 fof(f46,plain,(
% 0.20/0.37 ![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))))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f45])).
% 0.20/0.37 fof(f47,plain,(
% 0.20/0.37 ![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_4(P,P3,P2,P1,S1),sk0_7(P,P3,P2,P1,S1))&iext(P2,sk0_7(P,P3,P2,P1,S1),sk0_6(P,P3,P2,P1,S1)))&iext(P3,sk0_6(P,P3,P2,P1,S1),sk0_5(P,P3,P2,P1,S1)))&~iext(P,sk0_4(P,P3,P2,P1,S1),sk0_5(P,P3,P2,P1,S1))))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f46])).
% 0.20/0.37 fof(f52,plain,(
% 0.20/0.37 ![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))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.37 fof(f57,plain,(
% 0.20/0.37 ![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)))))))),
% 0.20/0.37 inference(NNF_transformation,[status(esa)],[f7])).
% 0.20/0.37 fof(f58,plain,(
% 0.20/0.37 (![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)))))))),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f57])).
% 0.20/0.37 fof(f59,plain,(
% 0.20/0.37 (![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_8(P2,P1),sk0_9(P2,P1))|~iext(P2,sk0_9(P2,P1),sk0_8(P2,P1)))&(iext(P1,sk0_8(P2,P1),sk0_9(P2,P1))|iext(P2,sk0_9(P2,P1),sk0_8(P2,P1)))))))),
% 0.20/0.37 inference(skolemization,[status(esa)],[f58])).
% 0.20/0.37 fof(f63,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~iext(uri_owl_inverseOf,X0,X1)|iext(X0,X2,X3)|~iext(X1,X3,X2))),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f59])).
% 0.20/0.37 fof(f66,plain,(
% 0.20/0.37 ~iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.37 fof(f67,plain,(
% 0.20/0.37 (((?[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)),
% 0.20/0.37 inference(miniscoping,[status(esa)],[f10])).
% 0.20/0.37 fof(f68,plain,(
% 0.20/0.37 (((((((((((((((((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_14))&iext(uri_rdf_type,sk0_14,uri_owl_Restriction))&iext(uri_owl_onProperty,sk0_14,uri_ex_sameCliqueAs))&iext(uri_owl_someValuesFrom,sk0_14,uri_ex_Clique))&iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty))&iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk0_13))&iext(uri_rdf_first,sk0_13,uri_rdf_type))&iext(uri_rdf_rest,sk0_13,sk0_12))&iext(uri_rdf_first,sk0_12,uri_ex_sameCliqueAs))&iext(uri_rdf_rest,sk0_12,sk0_11))&iext(uri_rdf_first,sk0_11,sk0_10))&iext(uri_rdf_rest,sk0_11,uri_rdf_nil))&iext(uri_owl_inverseOf,sk0_10,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)),
% 0.20/0.37 inference(skolemization,[status(esa)],[f67])).
% 0.20/0.37 fof(f70,plain,(
% 0.20/0.37 iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f72,plain,(
% 0.20/0.37 iext(uri_rdfs_subClassOf,uri_ex_Clique,sk0_14)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f74,plain,(
% 0.20/0.37 iext(uri_owl_onProperty,sk0_14,uri_ex_sameCliqueAs)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f75,plain,(
% 0.20/0.37 iext(uri_owl_someValuesFrom,sk0_14,uri_ex_Clique)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f77,plain,(
% 0.20/0.37 iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sk0_13)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f78,plain,(
% 0.20/0.37 iext(uri_rdf_first,sk0_13,uri_rdf_type)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f79,plain,(
% 0.20/0.37 iext(uri_rdf_rest,sk0_13,sk0_12)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f80,plain,(
% 0.20/0.37 iext(uri_rdf_first,sk0_12,uri_ex_sameCliqueAs)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f81,plain,(
% 0.20/0.37 iext(uri_rdf_rest,sk0_12,sk0_11)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f82,plain,(
% 0.20/0.37 iext(uri_rdf_first,sk0_11,sk0_10)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f83,plain,(
% 0.20/0.37 iext(uri_rdf_rest,sk0_11,uri_rdf_nil)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f84,plain,(
% 0.20/0.37 iext(uri_owl_inverseOf,sk0_10,uri_rdf_type)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f85,plain,(
% 0.20/0.37 iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f86,plain,(
% 0.20/0.37 iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f87,plain,(
% 0.20/0.37 iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang)),
% 0.20/0.37 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.37 fof(f93,plain,(
% 0.20/0.37 ![X0,X1]: (~iext(uri_owl_onProperty,sk0_14,X0)|~icext(sk0_14,X1)|iext(X0,X1,sk0_0(X1,uri_ex_Clique,X0,sk0_14)))),
% 0.20/0.37 inference(resolution,[status(thm)],[f19,f75])).
% 0.20/0.37 fof(f94,plain,(
% 0.20/0.37 icext(uri_ex_Clique,uri_ex_JoesGang)),
% 0.20/0.37 inference(resolution,[status(thm)],[f85,f13])).
% 0.20/0.37 fof(f103,plain,(
% 0.20/0.37 ![X0]: (~icext(uri_ex_Clique,X0)|icext(sk0_14,X0))),
% 0.20/0.37 inference(resolution,[status(thm)],[f28,f72])).
% 0.20/0.37 fof(f105,plain,(
% 0.20/0.37 icext(sk0_14,uri_ex_JoesGang)),
% 0.20/0.37 inference(resolution,[status(thm)],[f103,f94])).
% 0.20/0.37 fof(f108,plain,(
% 0.20/0.37 ![X0,X1]: (~iext(uri_ex_sameCliqueAs,X0,X1)|iext(uri_owl_sameAs,X0,X1))),
% 0.20/0.37 inference(resolution,[status(thm)],[f37,f70])).
% 0.20/0.37 fof(f110,plain,(
% 0.20/0.37 ![X0,X1]: (iext(sk0_10,X0,X1)|~iext(uri_rdf_type,X1,X0))),
% 0.20/0.37 inference(resolution,[status(thm)],[f63,f84])).
% 0.20/0.37 fof(f113,plain,(
% 0.20/0.37 iext(sk0_10,uri_ex_JoesGang,uri_ex_bob)),
% 0.20/0.37 inference(resolution,[status(thm)],[f110,f87])).
% 0.20/0.37 fof(f119,plain,(
% 0.20/0.37 ![X0]: (~icext(sk0_14,X0)|iext(uri_ex_sameCliqueAs,X0,sk0_0(X0,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_14)))),
% 0.20/0.37 inference(resolution,[status(thm)],[f93,f74])).
% 0.20/0.37 fof(f120,plain,(
% 0.20/0.37 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sk0_0(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_14))),
% 0.20/0.37 inference(resolution,[status(thm)],[f119,f105])).
% 0.20/0.37 fof(f121,plain,(
% 0.20/0.37 iext(uri_owl_sameAs,uri_ex_JoesGang,sk0_0(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_14))),
% 0.20/0.37 inference(resolution,[status(thm)],[f120,f108])).
% 0.20/0.37 fof(f122,plain,(
% 0.20/0.37 uri_ex_JoesGang=sk0_0(uri_ex_JoesGang,uri_ex_Clique,uri_ex_sameCliqueAs,sk0_14)),
% 0.20/0.37 inference(resolution,[status(thm)],[f121,f42])).
% 0.20/0.37 fof(f126,plain,(
% 0.20/0.37 iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
% 0.20/0.37 inference(paramodulation,[status(thm)],[f122,f120])).
% 0.20/0.37 fof(f280,plain,(
% 0.20/0.37 spl0_21 <=> iext(uri_rdf_rest,sk0_11,uri_rdf_nil)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f282,plain,(
% 0.20/0.37 ~iext(uri_rdf_rest,sk0_11,uri_rdf_nil)|spl0_21),
% 0.20/0.37 inference(component_clause,[status(thm)],[f280])).
% 0.20/0.37 fof(f285,plain,(
% 0.20/0.37 $false|spl0_21),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f282,f83])).
% 0.20/0.37 fof(f286,plain,(
% 0.20/0.37 spl0_21),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f285])).
% 0.20/0.37 fof(f383,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~iext(uri_rdf_rest,sk0_13,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_13)|~iext(uri_rdf_type,X5,X6)|~iext(X1,X6,X7)|~iext(X3,X7,X8)|iext(X4,X5,X8))),
% 0.20/0.37 inference(resolution,[status(thm)],[f52,f78])).
% 0.20/0.37 fof(f384,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~iext(uri_rdf_first,sk0_12,X0)|~iext(uri_rdf_rest,sk0_12,X1)|~iext(uri_rdf_first,X1,X2)|~iext(uri_rdf_rest,X1,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X3,sk0_13)|~iext(uri_rdf_type,X4,X5)|~iext(X0,X5,X6)|~iext(X2,X6,X7)|iext(X3,X4,X7))),
% 0.20/0.37 inference(resolution,[status(thm)],[f383,f79])).
% 0.20/0.37 fof(f385,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4,X5,X6]: (~iext(uri_rdf_rest,sk0_12,X0)|~iext(uri_rdf_first,X0,X1)|~iext(uri_rdf_rest,X0,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X2,sk0_13)|~iext(uri_rdf_type,X3,X4)|~iext(uri_ex_sameCliqueAs,X4,X5)|~iext(X1,X5,X6)|iext(X2,X3,X6))),
% 0.20/0.37 inference(resolution,[status(thm)],[f384,f80])).
% 0.20/0.37 fof(f386,plain,(
% 0.20/0.37 spl0_40 <=> ~iext(uri_rdf_first,sk0_11,X0)|~iext(uri_owl_propertyChainAxiom,X1,sk0_13)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f387,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sk0_11,X0)|~iext(uri_owl_propertyChainAxiom,X1,sk0_13)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5)|~spl0_40)),
% 0.20/0.37 inference(component_clause,[status(thm)],[f386])).
% 0.20/0.37 fof(f389,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4,X5]: (~iext(uri_rdf_first,sk0_11,X0)|~iext(uri_rdf_rest,sk0_11,uri_rdf_nil)|~iext(uri_owl_propertyChainAxiom,X1,sk0_13)|~iext(uri_rdf_type,X2,X3)|~iext(uri_ex_sameCliqueAs,X3,X4)|~iext(X0,X4,X5)|iext(X1,X2,X5))),
% 0.20/0.37 inference(resolution,[status(thm)],[f385,f81])).
% 0.20/0.37 fof(f390,plain,(
% 0.20/0.37 spl0_40|~spl0_21),
% 0.20/0.37 inference(split_clause,[status(thm)],[f389,f386,f280])).
% 0.20/0.37 fof(f391,plain,(
% 0.20/0.37 ![X0,X1,X2,X3,X4]: (~iext(uri_owl_propertyChainAxiom,X0,sk0_13)|~iext(uri_rdf_type,X1,X2)|~iext(uri_ex_sameCliqueAs,X2,X3)|~iext(sk0_10,X3,X4)|iext(X0,X1,X4)|~spl0_40)),
% 0.20/0.37 inference(resolution,[status(thm)],[f387,f82])).
% 0.20/0.37 fof(f392,plain,(
% 0.20/0.37 ![X0,X1,X2,X3]: (~iext(uri_rdf_type,X0,X1)|~iext(uri_ex_sameCliqueAs,X1,X2)|~iext(sk0_10,X2,X3)|iext(uri_foaf_knows,X0,X3)|~spl0_40)),
% 0.20/0.37 inference(resolution,[status(thm)],[f391,f77])).
% 0.20/0.37 fof(f396,plain,(
% 0.20/0.37 ![X0,X1]: (~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,X0)|~iext(sk0_10,X0,X1)|iext(uri_foaf_knows,uri_ex_alice,X1)|~spl0_40)),
% 0.20/0.37 inference(resolution,[status(thm)],[f392,f86])).
% 0.20/0.37 fof(f418,plain,(
% 0.20/0.37 spl0_46 <=> iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)),
% 0.20/0.37 introduced(split_symbol_definition)).
% 0.20/0.37 fof(f420,plain,(
% 0.20/0.37 ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|spl0_46),
% 0.20/0.37 inference(component_clause,[status(thm)],[f418])).
% 0.20/0.38 fof(f431,plain,(
% 0.20/0.38 $false|spl0_46),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f420,f126])).
% 0.20/0.38 fof(f432,plain,(
% 0.20/0.38 spl0_46),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f431])).
% 0.20/0.38 fof(f451,plain,(
% 0.20/0.38 spl0_51 <=> iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.38 fof(f452,plain,(
% 0.20/0.38 iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)|~spl0_51),
% 0.20/0.38 inference(component_clause,[status(thm)],[f451])).
% 0.20/0.38 fof(f454,plain,(
% 0.20/0.38 ~iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang)|iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob)|~spl0_40),
% 0.20/0.38 inference(resolution,[status(thm)],[f396,f113])).
% 0.20/0.38 fof(f455,plain,(
% 0.20/0.38 ~spl0_46|spl0_51|~spl0_40),
% 0.20/0.38 inference(split_clause,[status(thm)],[f454,f418,f451,f386])).
% 0.20/0.38 fof(f456,plain,(
% 0.20/0.38 $false|~spl0_51),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f452,f66])).
% 0.20/0.38 fof(f457,plain,(
% 0.20/0.38 ~spl0_51),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f456])).
% 0.20/0.38 fof(f458,plain,(
% 0.20/0.38 $false),
% 0.20/0.38 inference(sat_refutation,[status(thm)],[f286,f390,f432,f455,f457])).
% 0.20/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.39 % Elapsed time: 0.039594 seconds
% 0.20/0.39 % CPU time: 0.167965 seconds
% 0.20/0.39 % Memory used: 14.832 MB
%------------------------------------------------------------------------------