%------------------------------------------------------------------------------
% File     : KRS089+1 : TPTP v8.2.0. Released v3.1.0.
% Domain   : Knowledge Representation (Semantic Web)
% Problem  : A test for the interaction of one-of and inverse
% Version  : Especial.
% English  : A test for the interaction of one-of and inverse using the idea
%            of a spy point. Everything is related to the spy via the property
%            p and we know that the spy has at most two invP successors, thus
%            limiting the cardinality of the domain to being at most 2.

% Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
%          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% Source   : [Bec03]
% Names    : inconsistent_description-logic-Manifest035 [Bec03]

% Status   : Unsatisfiable
% Rating   : 0.14 v8.2.0, 0.00 v3.7.0, 0.33 v3.3.0, 0.00 v3.1.0
% Syntax   : Number of formulae    :   19 (   2 unt;   0 def)
%            Number of atoms       :   57 (  18 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   43 (   5   ~;   2   |;  20   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   41 (  37   !;   4   ?)
% 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(cUnsatisfiable_substitution_1,axiom,
    ! [A,B] :
      ( ( A = B
        & cUnsatisfiable(A) )
     => cUnsatisfiable(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(rinvP_substitution_1,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rinvP(A,C) )
     => rinvP(B,C) ) ).

fof(rinvP_substitution_2,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rinvP(C,A) )
     => rinvP(C,B) ) ).

fof(rp_substitution_1,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rp(A,C) )
     => rp(B,C) ) ).

fof(rp_substitution_2,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rp(C,A) )
     => rp(C,B) ) ).

fof(rr_substitution_1,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rr(A,C) )
     => rr(B,C) ) ).

fof(rr_substitution_2,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rr(C,A) )
     => rr(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) ) ).

%----Super cUnsatisfiable
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
     => ? [Y0,Y1,Y2] :
          ( rr(X,Y0)
          & rr(X,Y1)
          & rr(X,Y2)
          & Y0 != Y1
          & Y0 != Y2
          & Y1 != Y2 ) ) ).

%----Super cowlThing
fof(axiom_3,axiom,
    ! [X] :
      ( cowlThing(X)
     => ? [Y] :
          ( rp(X,Y)
          & Y = ispy ) ) ).

%----Inverse: rp
fof(axiom_4,axiom,
    ! [X,Y] :
      ( rp(X,Y)
    <=> rinvP(Y,X) ) ).

%----ispy
fof(axiom_5,axiom,
    ! [X0,X1,X2] :
      ( ( rinvP(ispy,X0)
        & rinvP(ispy,X1)
        & rinvP(ispy,X2) )
     => ( X0 = X1
        | X0 = X2
        | X1 = X2 ) ) ).

%----ispy
fof(axiom_6,axiom,
    cowlThing(ispy) ).

%----i2003_11_14_17_19_53168
fof(axiom_7,axiom,
    cUnsatisfiable(i2003_11_14_17_19_53168) ).

%------------------------------------------------------------------------------