## TPTP Problem File: SWB021+1.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB021+1 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Composite Enumerations
% Version  : [Sch11] axioms.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 021_Composite_Enumerations [Sch11]

% Status   : Theorem
% Rating   : 0.92 v7.5.0, 0.94 v7.4.0, 0.97 v7.3.0, 0.93 v7.1.0, 0.91 v7.0.0, 0.90 v6.4.0, 0.88 v6.3.0, 0.92 v6.2.0, 0.96 v6.1.0, 0.97 v6.0.0, 0.96 v5.5.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :  560 ( 197 unit)
%            Number of atoms       : 1795 (  90 equality)
%            Maximal formula depth :   31 (   5 average)
%            Number of connectives : 1371 ( 136   ~;  35   |; 779   &)
%                                         ( 126 <=>; 295  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :   13 (   1 propositional; 0-3 arity)
%            Number of functors    :  164 ( 163 constant; 0-2 arity)
%            Number of variables   :  982 (   0 sgn; 911   !;  71   ?)
%            Maximal term depth    :    2 (   1 average)
% SPC      : FOF_THM_RFO_SEQ

%------------------------------------------------------------------------------
%----Include OWL 2 Full axioms
include('Axioms/SWB001+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_021_Composite_Enumerations,conjecture,(
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) )).

fof(testcase_premise_fullish_021_Composite_Enumerations,axiom,(
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33,BNODE_l41,BNODE_l42] :
( iext(uri_owl_oneOf,uri_ex_c1,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_w1)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_w2)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c2,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_w2)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,uri_ex_w3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_c3,BNODE_l31)
& iext(uri_rdf_first,BNODE_l31,uri_ex_w1)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l32,uri_ex_w2)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l33,uri_ex_w3)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_c4,BNODE_l41)
& iext(uri_rdf_first,BNODE_l41,uri_ex_c1)
& iext(uri_rdf_rest,BNODE_l41,BNODE_l42)
& iext(uri_rdf_first,BNODE_l42,uri_ex_c2)
& iext(uri_rdf_rest,BNODE_l42,uri_rdf_nil) ) )).

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