## TPTP Problem File: SYO264^5.p

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```%------------------------------------------------------------------------------
% File     : SYO264^5 : TPTP v7.1.0. Released v4.0.0.
% Domain   : Syntactic
% Problem  : TPS problem THM125C
% Version  : Especial.
% English  : Trivial theorem to test flexible-flexible pairs.

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0158 [Bro09]
%          : THM125C [TPS]

% Status   : Theorem
% Rating   : 0.12 v7.1.0, 0.14 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.67 v6.1.0, 0.50 v5.5.0, 0.40 v5.4.0, 0.25 v5.1.0, 0.50 v4.1.0, 0.67 v4.0.0
% Syntax   : Number of formulae    :    1 (   0 unit;   0 type;   0 defn)
%            Number of atoms       :   16 (   0 equality;  16 variable)
%            Maximal formula depth :   14 (  14 average)
%            Number of connectives :   17 (   2   ~;   3   |;   3   &;   8   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0   :;   0   =)
%            Number of variables   :    7 (   0 sgn;   5   !;   2   ?;   0   ^)
%                                         (   7   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_THM_NEQ_NAR

% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
%            project in the Department of Mathematical Sciences at Carnegie
%          :
%------------------------------------------------------------------------------
thf(cTHM125C,conjecture,(
! [Xa: \$i,Xb: \$i,Xc: \$i,P: \$i > \$o] :
? [Xm: \$i > \$o,Xn: \$i > \$o] :
( ( ( Xm @ Xa )
| ( Xn @ Xa ) )
& ( ( P @ Xb )
| ( Xn @ Xb ) )
& ( ( Xm @ Xc )
| ~ ( P @ Xc ) )
& ! [Xx: \$i] :
( ( Xn @ Xx )
<=> ~ ( P @ Xx ) ) ) )).

%------------------------------------------------------------------------------
```