TPTP Problem File: KLE173+1.p

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%------------------------------------------------------------------------------
% File     : KLE173+1 : TPTP v7.5.0. Released v6.4.0.
% Domain   : Kleene Algebra
% Problem  : Idempotent semirings with tests
% Version  : [Hoe08] axioms.
% English  :

% Refs     : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% Source   : [TPTP]
% Names    :

% Status   : Satisfiable
% Rating   : 0.00 v7.5.0, 0.33 v7.3.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.00 v6.4.0
% Syntax   : Number of formulae    :   20 (  11 unit)
%            Number of atoms       :   40 (  19 equality)
%            Maximal formula depth :   10 (   4 average)
%            Number of connectives :   21 (   1   ~;   0   |;   8   &)
%                                         (   7 <=>;   5  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :    6 (   0 propositional; 1-3 arity)
%            Number of functors    :    5 (   2 constant; 0-2 arity)
%            Number of variables   :   41 (   0 sgn;  40   !;   1   ?)
%            Maximal term depth    :    3 (   2 average)
% SPC      : FOF_SAT_RFO_SEQ

% Comments :
%------------------------------------------------------------------------------
%----Idempotent semirings
include('Axioms/KLE001+0.ax').
%----Characterisation of tests by complement predicate
include('Axioms/KLE001+1.ax').
%----de Morgan's laws for tests
include('Axioms/KLE001+2.ax').
%----Universal characterisation of meet
include('Axioms/KLE001+3.ax').
%------------------------------------------------------------------------------