%--------------------------------------------------------------------------
% File     : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% Domain   : Management
% Problem  : prec_oo: leq(U,L) implies prec(U,L,o,o)
% Version  : Especial.
% English  : Criterion prec_oo: leq(v5,v5) => prec(v5,v5,o,o)
%            Both endpoints open: equal value is enough for separation.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL604-1.p [MC+26]

% Status   : Theorem
% Rating   : 0.04 v9.3.0
% Syntax   : Number of formulae    :   48 (  22 unt;   0 def)
%            Number of atoms       :  106 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   66 (   8   ~;  11   |;  21   &)
%                                         (  13 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   0 prp; 1-8 aty)
%            Number of functors    :   12 (  12 usr;  11 con; 0-2 aty)
%            Number of variables   :   74 (  72   !;   2   ?)
% SPC      : FOF_THM_RFO_SEQ

% Comments : Requires MGT002+0.ax + MGT002+2.ax.
%--------------------------------------------------------------------------
include('Axioms/MGT002+0.ax').
include('Axioms/MGT002+2.ax').
include('Axioms/MGT002+5.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v5,axiom,
    val(v5) ).

fof(odrl604,conjecture,
    prec(v5,v5,o,o) ).

%--------------------------------------------------------------------------