## TPTP Problem File: SYO522=1.p

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```%------------------------------------------------------------------------------
% File     : SYO522=1 : TPTP v7.4.0. Bugfixed v5.2.0.
% Domain   : Syntactic
% Problem  : Functions are either odd or even
% Version  : Especial.
% English  :

% Refs     : [Wal06] Waldmann (2006), Email to Geoff Sutcliffe
% Source   : [Wal06]
% Names    :

% Status   : Theorem
% Rating   : 0.80 v7.4.0, 0.62 v7.3.0, 0.50 v7.0.0, 0.57 v6.4.0, 1.00 v6.3.0, 0.43 v6.2.0, 0.88 v6.1.0, 0.89 v6.0.0, 0.86 v5.5.0, 0.89 v5.4.0, 0.88 v5.3.0, 1.00 v5.2.0
% Syntax   : Number of formulae    :    2 (   0 unit;   1 type)
%            Number of atoms       :    2 (   2 equality)
%            Maximal formula depth :    5 (   5 average)
%            Number of connectives :    1 (   0   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 propositional; 0-2 arity)
%            Number of functors    :    5 (   2 constant; 0-3 arity)
%            Number of variables   :    6 (   0 sgn;   0   !;   6   ?)
%                                         (   6   :;   0  !>;   0  ?*)
%            Maximal term depth    :    3 (   2 average)
%            Arithmetic symbols    :   10 (   0 prd;   2 fun;   2 num;   6 var)
% SPC      : TF0_THM_EQU_ARI