## TPTP Problem File: SYN726+1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN726+1 : TPTP v8.1.0. Released v2.5.0.
% Domain   : Syntactic
% Problem  : Peter Andrews Problem THM400
% Version  : Especial.
% English  :

% Refs     : [And97] Andrews (1994), Email to G. Sutcliffe
% Source   : [And97]
% Names    : THM400 [And97]

% Status   : Theorem
% Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :   12 (  12 avg)
%            Number of connectives :   11 (   0   ~;   2   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (  10 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   14 (  14   !;   0   ?)
% SPC      : FOF_THM_EPR_NEQ

%--------------------------------------------------------------------------
fof(thm400,conjecture,
( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ) ).

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