TPTP Problem File: KLE159+1.p

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%------------------------------------------------------------------------------
% File     : KLE159+1 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Kleene Algebra (Demonic Refinement Algebra)
% Problem  : Simulation law for data refinement
% Version  : [Hoe08] axioms.
% English  :

% Refs     : [vW02]  von Wright (2002), From Kleene Algebra to Refinement A
%          : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% Source   : [Hoe08]
% Names    :

% Status   : Theorem
% Rating   : 0.67 v7.5.0, 0.69 v7.4.0, 0.57 v7.3.0, 0.59 v7.1.0, 0.48 v7.0.0, 0.63 v6.4.0, 0.62 v6.3.0, 0.58 v6.2.0, 0.64 v6.1.0, 0.70 v6.0.0, 0.74 v5.5.0, 0.81 v5.4.0, 0.86 v5.3.0, 0.85 v5.2.0, 0.80 v5.1.0, 0.81 v5.0.0, 0.79 v4.1.0, 0.78 v4.0.0
% Syntax   : Number of formulae    :   19 (  14 unit)
%            Number of atoms       :   24 (  15 equality)
%            Maximal formula depth :    5 (   3 average)
%            Number of connectives :    5 (   0   ~;   0   |;   0   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of predicates  :    2 (   0 propositional; 2-2 arity)
%            Number of functors    :    6 (   2 constant; 0-2 arity)
%            Number of variables   :   37 (   0 sgn;  37   !;   0   ?)
%            Maximal term depth    :    4 (   2 average)
% SPC      : FOF_THM_RFO_SEQ

% Comments :
%------------------------------------------------------------------------------
%---Include axioms for demonic refinement algebra
include('Axioms/KLE004+0.ax').
%------------------------------------------------------------------------------
fof(goals,conjecture,(
    ! [X0,X1,X2] :
      ( leq(multiplication(X0,X1),multiplication(X2,X0))
     => leq(multiplication(X0,star(X1)),multiplication(star(X2),X0)) ) )).

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