## TPTP Problem File: KLE042+1.p

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```%------------------------------------------------------------------------------
% File     : KLE042+1 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Kleene Algebra
% Problem  : Star sliding
% Version  : [Hoe08] axioms.
% English  : Two ways of grouping an alternation of x's and y's that starts
%            and ends with x.

% Refs     : [Koz94] Kozen (1994), A Completeness Theorem for Kleene Algebr
%          : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% Source   : [Hoe08]
% Names    :

% Status   : Theorem
% Rating   : 0.94 v7.5.0, 0.97 v7.4.0, 0.93 v7.1.0, 0.91 v7.0.0, 0.90 v6.4.0, 0.92 v6.2.0, 1.00 v4.0.0
% Syntax   : Number of formulae    :   17 (  14 unit)
%            Number of atoms       :   20 (  13 equality)
%            Maximal formula depth :    5 (   3 average)
%            Number of connectives :    3 (   0   ~;   0   |;   0   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :    2 (   0 propositional; 2-2 arity)
%            Number of functors    :    5 (   2 constant; 0-2 arity)
%            Number of variables   :   32 (   0 sgn;  32   !;   0   ?)
%            Maximal term depth    :    4 (   2 average)
% SPC      : FOF_THM_RFO_SEQ