TPTP Problem File: SWB009+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWB009+1 : TPTP v9.0.0. Released v5.2.0.
% Domain : Semantic Web
% Problem : Existential Restriction Entailments
% Version : [Sch11] axioms.
% English :
% Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source : [Sch11]
% Names : 009_Existential_Restriction_Entailments [Sch11]
% Status : Theorem
% Rating : 0.58 v9.0.0, 0.50 v8.2.0, 0.53 v7.5.0, 0.59 v7.4.0, 0.57 v7.3.0, 0.48 v7.1.0, 0.43 v7.0.0, 0.53 v6.4.0, 0.58 v6.3.0, 0.54 v6.2.0, 0.64 v6.1.0, 0.70 v6.0.0, 0.74 v5.5.0, 0.78 v5.4.0, 0.82 v5.3.0, 0.85 v5.2.0
% Syntax : Number of formulae : 560 ( 196 unt; 0 def)
% Number of atoms : 1780 ( 90 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 1356 ( 136 ~; 35 |; 764 &)
% ( 126 <=>; 295 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 160 ( 160 usr; 159 con; 0-2 aty)
% Number of variables : 975 ( 911 !; 64 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Include OWL 2 Full axioms
include('Axioms/SWB001+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ) ).
%------------------------------------------------------------------------------