## TPTP Problem File: SYN979+1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN979+1 : TPTP v8.0.0. Released v3.1.0.
% Domain   : Syntactic
% Problem  : Syntactic from Shults
% Version  : Especial.
% English  :

% Refs     : [Shu04] Shults (2004), Email to G. Sutcliffe
% Source   : [Shu04]
% Names    :

% Status   : Theorem
% Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v3.2.0, 0.11 v3.1.0
% 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   ~;   0   |;   7   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  14 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   4 usr;   0 prp; 1-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   2   !;   2   ?)
% SPC      : FOF_THM_EPR_NEQ

%--------------------------------------------------------------------------
fof(prove_this,conjecture,
! [A,B] :
? [X,Y] :
( ( ( q(X)
=> p(X,A) )
& q(A)
& q(B)
& ( r(Y)
=> p(B,Y) )
& r(A)
& r(B)
& ( s(A)
=> p(X,Y) )
& s(A) )
=> p(A,B) ) ).

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