%------------------------------------------------------------------------------
% File     : KRS099+1 : TPTP v9.0.0. Released v3.1.0.
% Domain   : Knowledge Representation (Semantic Web)
% Problem  : DL Test: heinsohn3c.1
% Version  : Especial.
% English  : Tbox tests from [HK+94]

% Refs     : [HK+94] Heinsohn et al. (1994), An Empirical Analysis of Termi
%          : [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-Manifest109 [Bec03]

% Status   : Unsatisfiable
% Rating   : 0.00 v3.1.0
% Syntax   : Number of formulae    :   16 (   1 unt;   0 def)
%            Number of atoms       :   55 (  15 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :   45 (   6   ~;   1   |;  21   &)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   0 prp; 1-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   35 (  32   !;   3   ?)
% 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.
%          : Tests incoherency caused by number restrictions and role hierarchy
%------------------------------------------------------------------------------
fof(cUnsatisfiable_substitution_1,axiom,
    ! [A,B] :
      ( ( A = B
        & cUnsatisfiable(A) )
     => cUnsatisfiable(B) ) ).

fof(ca_substitution_1,axiom,
    ! [A,B] :
      ( ( A = B
        & ca(A) )
     => ca(B) ) ).

fof(cc_substitution_1,axiom,
    ! [A,B] :
      ( ( A = B
        & cc(A) )
     => cc(B) ) ).

fof(cd_substitution_1,axiom,
    ! [A,B] :
      ( ( A = B
        & cd(A) )
     => cd(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(rtt_substitution_1,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rtt(A,C) )
     => rtt(B,C) ) ).

fof(rtt_substitution_2,axiom,
    ! [A,B,C] :
      ( ( A = B
        & rtt(C,A) )
     => rtt(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) ) ).

%----Equality cUnsatisfiable
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y0,Y1,Y2] :
            ( rtt(X,Y0)
            & rtt(X,Y1)
            & rtt(X,Y2)
            & Y0 != Y1
            & Y0 != Y2
            & Y1 != Y2 )
        & ! [Y] :
            ( rtt(X,Y)
           => ca(Y) )
        & ! [Y0,Y1] :
            ( ( rtt(X,Y0)
              & rtt(X,Y1) )
           => Y0 = Y1 )
        & ! [Y0,Y1] :
            ( ( rtt(X,Y0)
              & rtt(X,Y1) )
           => Y0 = Y1 ) ) ) ).

%----Super ca
fof(axiom_3,axiom,
    ! [X] :
      ( ca(X)
     => ( cd(X)
        | cc(X) ) ) ).

%----Super cc
fof(axiom_4,axiom,
    ! [X] :
      ( cc(X)
     => ~ cd(X) ) ).

%----i2003_11_14_17_20_29215
fof(axiom_5,axiom,
    cUnsatisfiable(i2003_11_14_17_20_29215) ).

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