TPTP Problem File: KRS056+1.p
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%------------------------------------------------------------------------------
% File : KRS056+1 : TPTP v9.0.0. Released v3.1.0.
% Domain : Knowledge Representation (Semantic Web)
% Problem : owl:disjointWith edges may be within OWL DL
% Version : Especial.
% English : If the owl:disjointWith edges in the graph form undirected
% complete subgraphs which share URIref nodes but do not share
% blank node then this may be within OWL DL.
% Refs : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% Source : [Bec03]
% Names : consistent_disjointWith-Manifest009 [Bec03]
% Status : Satisfiable
% Rating : 0.00 v3.1.0
% Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 20 ( 8 ~; 0 |; 11 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 8 usr; 0 prp; 1-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 4 ( 4 !; 0 ?)
% SPC : FOF_SAT_EPR_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.
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%----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) ) ).
fof(axiom_2,axiom,
! [X] :
( ~ ( cC(X)
& cD(X) )
& ~ ( cC(X)
& cA(X) )
& ~ ( cD(X)
& cA(X) ) ) ).
fof(axiom_3,axiom,
! [X] :
( ~ ( cD(X)
& cB(X) )
& ~ ( cD(X)
& cA(X) )
& ~ ( cB(X)
& cA(X) ) ) ).
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