%--------------------------------------------------------------------------
% File     : ARI178_1 : TPTP v8.2.0. Released v5.0.0.
% Domain   : Arithmetic
% Problem  : Integer: It can't be 0
% Version  : Especial.
% English  : 

% Refs     : [PW06]  Prevosto & Waldmann (2006), SPASS+T
%          : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe
% Source   : [Wal10]
% Names    : (11) [PW06]

% Status   : Theorem
% Rating   : 0.12 v7.5.0, 0.10 v7.4.0, 0.12 v7.3.0, 0.17 v7.0.0, 0.00 v6.3.0, 0.14 v6.2.0, 0.38 v6.1.0, 0.44 v6.0.0, 0.43 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.40 v5.2.0, 0.67 v5.1.0, 0.60 v5.0.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
%            Number of atoms       :    3 (   3 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :    3 (   1   ~;   0   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   14 (   0 atm;   6 fun;   5 num;   3 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   3   :)
% SPC      : TF0_THM_EQU_ARI

% Comments : 
%--------------------------------------------------------------------------
tff(co1,conjecture,
    ! [U: $int,V: $int,W: $int] :
      ( ( ( $sum($sum($product(2,U),V),W) = 10 )
        & ( $sum($sum(U,$product(2,V)),W) = 10 ) )
     => ( W != 0 ) ) ).

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