## TPTP Problem File: SWB020+3.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB020+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Logical Complications
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 020_Logical_Complications [Sch11]

% Status   : CounterSatisfiable
% Rating   : 1.00 v7.4.0, 0.67 v7.3.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :  140 (  74 unit)
%            Number of atoms       :  326 (   0 equality)
%            Maximal formula depth :   22 (   3 average)
%            Number of connectives :  189 (   3   ~;   3   |;  88   &)
%                                         (  38 <=>;  57  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   11 (   0 propositional; 1-3 arity)
%            Number of functors    :   53 (  53 constant; 0-0 arity)
%            Number of variables   :  166 (   0 sgn; 157   !;   9   ?)
%            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_020_Logical_Complications,conjecture,(
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3) )).

fof(testcase_premise_fullish_020_Logical_Complications,axiom,(
? [BNODE_xs,BNODE_xc,BNODE_lu1,BNODE_lu2,BNODE_lu3,BNODE_li1,BNODE_li2] :
( iext(uri_owl_unionOf,uri_ex_c,BNODE_lu1)
& iext(uri_rdf_first,BNODE_lu1,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_lu1,BNODE_lu2)
& iext(uri_rdf_first,BNODE_lu2,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_lu2,BNODE_lu3)
& iext(uri_rdf_first,BNODE_lu3,uri_ex_c3)
& iext(uri_rdf_rest,BNODE_lu3,uri_rdf_nil)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_d,BNODE_xs)
& iext(uri_owl_intersectionOf,BNODE_xs,BNODE_li1)
& iext(uri_rdf_first,BNODE_li1,uri_ex_c)
& iext(uri_rdf_rest,BNODE_li1,BNODE_li2)
& iext(uri_rdf_first,BNODE_li2,BNODE_xc)
& iext(uri_rdf_rest,BNODE_li2,uri_rdf_nil)
& iext(uri_owl_complementOf,BNODE_xc,uri_ex_c2) ) )).

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