## TPTP Problem File: SWB009+3.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB009+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Existential Restriction Entailments
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 009_Existential_Restriction_Entailments [Sch11]

% Status   : Theorem
% Rating   : 0.14 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.14 v6.3.0, 0.23 v6.2.0, 0.27 v6.1.0, 0.28 v6.0.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.30 v5.2.0
% Syntax   : Number of formulae    :  140 (  73 unit)
%            Number of atoms       :  318 (   0 equality)
%            Maximal formula depth :   18 (   3 average)
%            Number of connectives :  181 (   3   ~;   3   |;  80   &)
%                                         (  38 <=>;  57  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   11 (   0 propositional; 1-3 arity)
%            Number of functors    :   52 (  52 constant; 0-0 arity)
%            Number of variables   :  161 (   0 sgn; 157   !;   4   ?)
%            Maximal term depth    :    1 (   1 average)
% SPC      : FOF_THM_RFO_NEQ

%------------------------------------------------------------------------------
%----Include ALCO Full Extensional axioms
include('Axioms/SWB002+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) ) )).

%------------------------------------------------------------------------------
```