%--------------------------------------------------------------------------
% File     : NLP030+1 : TPTP v8.2.0. Released v2.4.0.
% Domain   : Natural Language Processing
% Problem  : Three young guys, problem 5
% Version  : [Bos00b] axioms.
% English  : Eliminating logically equivalent interpretations in the statement
%            "Three young guys sit at a table with hamburgers."

% Refs     : [Bos00a] Bos (2000), DORIS: Discourse Oriented Representation a
%            [Bos00b] Bos (2000), Applied Theorem Proving - Natural Language
% Source   : [Bos00b]
% Names    : doris007 [Bos00b]

% Status   : CounterSatisfiable
% Rating   : 0.00 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.00 v5.0.0, 0.11 v4.1.0, 0.17 v4.0.1, 0.00 v3.4.0, 0.17 v3.2.0, 0.50 v2.7.0, 0.83 v2.6.0, 0.75 v2.5.0, 0.67 v2.4.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :   72 (  72 avg)
%            Number of connectives :   73 (   2   ~;   0   |;  53   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  23 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  14 usr;   0 prp; 1-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   36 (  16   !;  20   ?)
% SPC      : FOF_CSA_RFO_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ~ ( ( ? [U] :
              ( actual_world(U)
              & ? [V] :
                  ( ! [W] :
                      ( member(U,W,V)
                     => ? [X,Y] :
                          ( table(U,X)
                          & ! [Z] :
                              ( member(U,Z,Y)
                             => ? [X1] :
                                  ( event(U,X1)
                                  & agent(U,X1,W)
                                  & present(U,X1)
                                  & sit(U,X1)
                                  & at(U,X1,X)
                                  & with(U,X1,Z) ) )
                          & group(U,Y)
                          & ! [X2] :
                              ( member(U,X2,Y)
                             => hamburger(U,X2) ) ) )
                  & three(U,V)
                  & group(U,V)
                  & ! [X3] :
                      ( member(U,X3,V)
                     => ( guy(U,X3)
                        & young(U,X3) ) ) ) )
         => ? [X4] :
              ( actual_world(X4)
              & ? [X5,X6] :
                  ( table(X4,X5)
                  & ! [X7] :
                      ( member(X4,X7,X6)
                     => ? [X8] :
                          ( ! [X9] :
                              ( member(X4,X9,X8)
                             => ? [X10] :
                                  ( event(X4,X10)
                                  & agent(X4,X10,X9)
                                  & present(X4,X10)
                                  & sit(X4,X10)
                                  & at(X4,X10,X5)
                                  & with(X4,X10,X7) ) )
                          & three(X4,X8)
                          & group(X4,X8)
                          & ! [X11] :
                              ( member(X4,X11,X8)
                             => ( guy(X4,X11)
                                & young(X4,X11) ) ) ) )
                  & group(X4,X6)
                  & ! [X12] :
                      ( member(X4,X12,X6)
                     => hamburger(X4,X12) ) ) ) )
        & ( ? [X4] :
              ( actual_world(X4)
              & ? [X5,X6] :
                  ( table(X4,X5)
                  & ! [X7] :
                      ( member(X4,X7,X6)
                     => ? [X8] :
                          ( ! [X9] :
                              ( member(X4,X9,X8)
                             => ? [X10] :
                                  ( event(X4,X10)
                                  & agent(X4,X10,X9)
                                  & present(X4,X10)
                                  & sit(X4,X10)
                                  & at(X4,X10,X5)
                                  & with(X4,X10,X7) ) )
                          & three(X4,X8)
                          & group(X4,X8)
                          & ! [X11] :
                              ( member(X4,X11,X8)
                             => ( guy(X4,X11)
                                & young(X4,X11) ) ) ) )
                  & group(X4,X6)
                  & ! [X12] :
                      ( member(X4,X12,X6)
                     => hamburger(X4,X12) ) ) )
         => ? [U] :
              ( actual_world(U)
              & ? [V] :
                  ( ! [W] :
                      ( member(U,W,V)
                     => ? [X,Y] :
                          ( table(U,X)
                          & ! [Z] :
                              ( member(U,Z,Y)
                             => ? [X1] :
                                  ( event(U,X1)
                                  & agent(U,X1,W)
                                  & present(U,X1)
                                  & sit(U,X1)
                                  & at(U,X1,X)
                                  & with(U,X1,Z) ) )
                          & group(U,Y)
                          & ! [X2] :
                              ( member(U,X2,Y)
                             => hamburger(U,X2) ) ) )
                  & three(U,V)
                  & group(U,V)
                  & ! [X3] :
                      ( member(U,X3,V)
                     => ( guy(U,X3)
                        & young(U,X3) ) ) ) ) ) ) ).

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