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%------------------------------------------------------------------------------
% File : KRS018+1 : TPTP v5.5.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : Nothing can be defined using OWL Lite restrictions
% Version : Especial.
% English :
% Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% Source : [Bec03]
% Names : consistent_I5.2-Manifest001 [Bec03]
% Status : Satisfiable
% Rating : 0.00 v4.1.0, 0.25 v4.0.1, 0.00 v3.1.0
% Syntax : Number of formulae : 4 ( 0 unit)
% Number of atoms : 8 ( 0 equality)
% Maximal formula depth : 5 ( 4 average)
% Number of connectives : 7 ( 3 ~ ; 0 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=)
% ( 0 <~>; 0 ~|; 0 ~&)
% Number of predicates : 6 ( 0 propositional; 1-2 arity)
% Number of functors : 0 ( 0 constant; --- arity)
% Number of variables : 6 ( 0 singleton; 4 !; 2 ?)
% Maximal term depth : 1 ( 1 average)
% SPC : FOF_SAT_RFO_NEQ
% Comments : Sean Bechhofer says there are some errors in the encoding of
% datatypes, so this problem may not be perfect. At least it's
% still representative of the type of reasoning required for OWL.
%------------------------------------------------------------------------------
%----Thing and Nothing
fof(axiom_0,axiom,
( ! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) )).
%----String and Integer disjoint
fof(axiom_1,axiom,
( ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ) )).
%----Super cNothing
fof(axiom_2,axiom,
( ! [X] :
( cNothing(X)
=> ~ ( ? [Y] : rp(X,Y) ) ) )).
%----Super cNothing
fof(axiom_3,axiom,
( ! [X] :
( cNothing(X)
=> ? [Y0] : rp(X,Y0) ) )).
%------------------------------------------------------------------------------
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