## TPTP Problem File: SWB086+1.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB086+1 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Self-Restriction Comparison By Property
% Version  : [Sch11] axioms.
% English  : A self restriction on some property is a sub class of another
%            self restriction on a super property.

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : rdfbased-sem-restrict-hasself-cmp-prop [Sch11]

% Status   : Theorem
% Rating   : 0.69 v7.4.0, 0.60 v7.3.0, 0.66 v7.2.0, 0.62 v7.1.0, 0.57 v7.0.0, 0.70 v6.4.0, 0.69 v6.3.0, 0.62 v6.2.0, 0.72 v6.1.0, 0.80 v6.0.0, 0.91 v5.5.0, 0.93 v5.4.0, 0.89 v5.3.0, 0.93 v5.2.0
% Syntax   : Number of formulae    :  560 ( 197 unit)
%            Number of atoms       : 1778 (  90 equality)
%            Maximal formula depth :   27 (   5 average)
%            Number of connectives : 1354 ( 136   ~;  35   |; 762   &)
%                                         ( 126 <=>; 295  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   13 (   1 propositional; 0-3 arity)
%            Number of functors    :  162 ( 161 constant; 0-2 arity)
%            Number of variables   :  973 (   0 sgn; 911   !;  62   ?)
%            Maximal term depth    :    2 (   1 average)
% SPC      : FOF_THM_RFO_SEQ

%------------------------------------------------------------------------------
%----Include OWL 2 Full axioms
include('Axioms/SWB001+0.ax').
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_restrict_hasself_cmp_prop,conjecture,(
iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2) )).

fof(premise_rdfbased_sem_restrict_hasself_cmp_prop,axiom,
( iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
& iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
& iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) )).

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