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%------------------------------------------------------------------------------
% File : KRS063+1 : TPTP v5.5.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : An example combining owl:oneOf and owl:inverseOf
% 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 : inconsistent_I4.5-Manifest002 [Bec03]
% Status : Unsatisfiable
% Rating : 0.00 v3.1.0
% Syntax : Number of formulae : 27 ( 9 unit)
% Number of atoms : 63 ( 18 equality)
% Maximal formula depth : 8 ( 4 average)
% Number of connectives : 39 ( 3 ~ ; 5 |; 14 &)
% ( 4 <=>; 13 =>; 0 <=)
% ( 0 <~>; 0 ~|; 0 ~&)
% Number of predicates : 11 ( 0 propositional; 1-2 arity)
% Number of functors : 7 ( 7 constant; 0-0 arity)
% Number of variables : 37 ( 0 singleton; 36 !; 1 ?)
% Maximal term depth : 1 ( 1 average)
% SPC : FOF_UNS_RFO_SEQ
% 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.
%------------------------------------------------------------------------------
fof(cEUCountry_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cEUCountry(A) )
=> cEUCountry(B) ) )).
fof(cEuroMP_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cEuroMP(A) )
=> cEuroMP(B) ) )).
fof(cEuropeanCountry_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cEuropeanCountry(A) )
=> cEuropeanCountry(B) ) )).
fof(cPerson_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cPerson(A) )
=> cPerson(B) ) )).
fof(cowlNothing_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cowlNothing(A) )
=> cowlNothing(B) ) )).
fof(cowlThing_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& cowlThing(A) )
=> cowlThing(B) ) )).
fof(rhasEuroMP_substitution_1,axiom,
( ! [A,B,C] :
( ( A = B
& rhasEuroMP(A,C) )
=> rhasEuroMP(B,C) ) )).
fof(rhasEuroMP_substitution_2,axiom,
( ! [A,B,C] :
( ( A = B
& rhasEuroMP(C,A) )
=> rhasEuroMP(C,B) ) )).
fof(risEuroMPFrom_substitution_1,axiom,
( ! [A,B,C] :
( ( A = B
& risEuroMPFrom(A,C) )
=> risEuroMPFrom(B,C) ) )).
fof(risEuroMPFrom_substitution_2,axiom,
( ! [A,B,C] :
( ( A = B
& risEuroMPFrom(C,A) )
=> risEuroMPFrom(C,B) ) )).
fof(xsd_integer_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& xsd_integer(A) )
=> xsd_integer(B) ) )).
fof(xsd_string_substitution_1,axiom,
( ! [A,B] :
( ( A = B
& xsd_string(A) )
=> xsd_string(B) ) )).
%----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) ) )).
%----Enumeration cEUCountry
fof(axiom_2,axiom,
( ! [X] :
( cEUCountry(X)
<=> ( X = iPT
| X = iBE
| X = iNL
| X = iES
| X = iFR
| X = iUK ) ) )).
%----Equality cEuroMP
fof(axiom_3,axiom,
( ! [X] :
( cEuroMP(X)
<=> ? [Y] :
( risEuroMPFrom(X,Y)
& cowlThing(Y) ) ) )).
%----Domain: rhasEuroMP
fof(axiom_4,axiom,
( ! [X,Y] :
( rhasEuroMP(X,Y)
=> cEUCountry(X) ) )).
%----Inverse: risEuroMPFrom
fof(axiom_5,axiom,
( ! [X,Y] :
( risEuroMPFrom(X,Y)
<=> rhasEuroMP(Y,X) ) )).
%----iBE
fof(axiom_6,axiom,
( cEuropeanCountry(iBE) )).
%----iES
fof(axiom_7,axiom,
( cEuropeanCountry(iES) )).
%----iFR
fof(axiom_8,axiom,
( cEuropeanCountry(iFR) )).
%----iKinnock
fof(axiom_9,axiom,
( cPerson(iKinnock) )).
%----iKinnock
fof(axiom_10,axiom,
( ~ cEuroMP(iKinnock) )).
%----iNL
fof(axiom_11,axiom,
( cEuropeanCountry(iNL) )).
%----iPT
fof(axiom_12,axiom,
( cEuropeanCountry(iPT) )).
%----iUK
fof(axiom_13,axiom,
( cEuropeanCountry(iUK) )).
fof(axiom_14,axiom,
( rhasEuroMP(iUK,iKinnock) )).
%------------------------------------------------------------------------------
|
