## TPTP Problem File: SWB025+3.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB025+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Cyclic Dependencies between Complex Properties
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 025_Cyclic_Dependencies_between_Complex_Properties [Sch11]

% Status   : CounterSatisfiable
% Rating   : 0.33 v7.5.0, 0.67 v7.4.0, 0.33 v7.1.0, 0.67 v6.4.0, 0.25 v6.3.0, 0.50 v6.2.0, 0.89 v6.1.0, 0.90 v6.0.0, 1.00 v5.5.0, 0.86 v5.4.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :  140 (  73 unit)
%            Number of atoms       :  327 (   0 equality)
%            Maximal formula depth :   20 (   3 average)
%            Number of connectives :  190 (   3   ~;   3   |;  89   &)
%                                         (  38 <=>;  57  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   11 (   0 propositional; 1-3 arity)
%            Number of functors    :   56 (  56 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_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) )).

fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,(
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) )).

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