## TPTP Problem File: SWB013+3.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB013+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Cliques
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 013_Cliques [Sch11]

% Status   : CounterSatisfiable
% Rating   : 0.33 v7.5.0, 0.67 v7.3.0, 0.33 v7.1.0, 0.67 v6.4.0, 0.50 v6.3.0, 0.67 v6.2.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :  140 (  74 unit)
%            Number of atoms       :  330 (   0 equality)
%            Maximal formula depth :   24 (   3 average)
%            Number of connectives :  193 (   3   ~;   3   |;  92   &)
%                                         (  38 <=>;  57  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   11 (   0 propositional; 1-3 arity)
%            Number of functors    :   58 (  58 constant; 0-0 arity)
%            Number of variables   :  164 (   0 sgn; 157   !;   7   ?)
%            Maximal term depth    :    1 (   1 average)
% SPC      : FOF_CSA_RFO_NEQ

%------------------------------------------------------------------------------
%----Include ALCO Full Extensional axioms
include('Axioms/SWB002+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_013_Cliques,conjecture,(
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob) )).

fof(testcase_premise_fullish_013_Cliques,axiom,(
? [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) ) )).

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