## TPTP Problem File: SYN356+1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Peter Andrews Problem X2107
% Version  : Especial.
% English  :

% Refs     : [And86] Andrews (1986), An Introduction to Mathematical Logic
%          : [And94] Andrews (1994), Email to G. Sutcliffe
% Source   : [And94]
% Names    : X2107 [And86]

% Status   : Theorem
% Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    8 (   8 avg)
%            Number of connectives :    7 (   0   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)
% SPC      : FOF_THM_EPR_NEQ

%--------------------------------------------------------------------------
fof(x2107,conjecture,
( ( big_r(a,b)
& ! [X,Y] :
( big_r(X,Y)
=> ( big_r(Y,X)
& big_q(X,Y) ) )
& ! [U,V] :
( big_q(U,V)
=> big_q(U,U) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ) ).

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