%------------------------------------------------------------------------------
% File     : ARI085_1 : TPTP v8.2.0. Released v5.0.0.
% Domain   : Arithmetic
% Problem  : Integer: Sum something and another thing is 7, in a predicate
% Version  : Especial.
% English  :

% Refs     :
% Source   : [TPTP]
% Names    :

% Status   : Theorem
% Rating   : 0.00 v7.5.0, 0.20 v7.4.0, 0.00 v6.2.0, 0.25 v6.1.0, 0.33 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.38 v5.3.0, 0.30 v5.2.0, 0.33 v5.1.0, 0.20 v5.0.0
% Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
%            Number of atoms       :    4 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :    4 (   1   ~;   0   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :    8 (   0 atm;   1 fun;   5 num;   2 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   0 prp; 2-2 aty)
%            Number of functors    :    6 (   0 usr;   5 con; 0-2 aty)
%            Number of variables   :    2 (   0   !;   2   ?;   2   :)
% SPC      : TF0_THM_EQU_ARI

% Comments :
%------------------------------------------------------------------------------
tff(p_type,type,
    p: ( $int * $int ) > $o ).

tff(sum_X_Y_7_predicate,conjecture,
    ( ( p(3,4)
      & ~ p(1,6) )
   => ? [X: $int,Y: $int] :
        ( p(X,Y)
        & ( $sum(X,Y) = 7 ) ) ) ).

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