## TPTP Problem File: SEV012^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV012^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory (Relations)
% Problem  : TPS problem from EQUIVALENCE-RELATIONS-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0854 [Bro09]

% Status   : Theorem
% Rating   : 0.00 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    1 (   0 unit;   0 type;   0 defn)
%            Number of atoms       :    8 (   1 equality;   0 variable)
%            Maximal formula depth :    8 (   8 average)
%            Number of connectives :    5 (   0   ~;   0   |;   3   &;   0   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   0   :;   0   =)
%            Number of variables   :    9 (   9 sgn;   5   !;   0   ?;   4   ^)
%                                         (   9   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_THM_EQU_NAR

% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
%            project in the Department of Mathematical Sciences at Carnegie
%------------------------------------------------------------------------------
thf(cTHM519_pme,conjecture,
( ! [Xx: \$o,Xy: \$o] :
( \$true
=> \$true )
& ! [Xx: \$o,Xy: \$o,Xz: \$o] :
( ( \$true
& \$true )
=> \$true )
& ( ( ^ [Xx: \$o,Xy: \$o] : \$true )
= ( ^ [Xx: \$o,Xy: \$o] : \$true ) ) )).

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