## TPTP Problem File: SWB024+3.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : SWB024+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Cardinality Restrictions on Complex Properties
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 024_Cardinality_Restrictions_on_Complex_Properties [Sch11]

% Status   : CounterSatisfiable
% Rating   : 0.00 v7.5.0, 0.67 v7.4.0, 0.33 v7.3.0, 0.00 v7.1.0, 0.33 v6.4.0, 0.00 v6.3.0, 0.50 v6.2.0, 0.91 v6.1.0, 0.96 v6.0.0, 1.00 v5.5.0, 0.96 v5.4.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :  140 (  73 unit)
%            Number of atoms       :  320 (   0 equality)
%            Maximal formula depth :   18 (   3 average)
%            Number of connectives :  183 (   3   ~;   3   |;  82   &)
%                                         (  38 <=>;  57  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   11 (   0 propositional; 1-3 arity)
%            Number of functors    :   56 (  55 constant; 0-2 arity)
%            Number of variables   :  161 (   0 sgn; 157   !;   4   ?)
%            Maximal term depth    :    2 (   1 average)
% SPC      : FOF_CSA_RFO_NEQ

%------------------------------------------------------------------------------
%----Include ALCO Full Extensional axioms
include('Axioms/SWB002+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties,conjecture,(
? [BNODE_x] :
( iext(uri_ex_hasAncestor,uri_ex_bob,BNODE_x)
& iext(uri_ex_hasAncestor,uri_ex_alice,BNODE_x) ) )).

fof(testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties,axiom,(
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,BNODE_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ) )).

%------------------------------------------------------------------------------