## TPTP Problem File: SWB029+3.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWB029+3 : TPTP v7.5.0. Released v5.2.0.
% Domain   : Semantic Web
% Problem  : Ex Falso Quodlibet
% Version  : [Sch11] axioms : Incomplete.
% English  :

% Refs     : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source   : [Sch11]
% Names    : 029_Ex_Falso_Quodlibet [Sch11]

% Rating   : 0.21 v7.5.0, 0.29 v7.4.0, 0.31 v7.3.0, 0.29 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.29 v6.3.0, 0.23 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.50 v5.5.0, 0.38 v5.4.0, 0.39 v5.3.0, 0.43 v5.2.0
% Syntax   : Number of formulae    :  140 (  74 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    :   51 (  51 constant; 0-0 arity)
%            Number of variables   :  163 (   0 sgn; 157   !;   6   ?)
%            Maximal term depth    :    1 (   1 average)
% SPC      : FOF_CAX_RFO_NEQ

%------------------------------------------------------------------------------
%----Include ALCO Full Extensional axioms
include('Axioms/SWB002+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_029_Ex_Falso_Quodlibet,conjecture,(
iext(uri_rdf_type,uri_ex_w,uri_ex_B) )).

fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,(
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_owl_complementOf,BNODE_y,uri_ex_A) ) )).

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