%--------------------------------------------------------------------------
% File     : MGT076+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : [800,infinity) [400,infinity): higher lower-bound subsumes
% Version  : Especial.
% English  : width gteq 800 => [800, infinity)
%            width gteq 400 => [400, infinity)
%            [800, infinity) subseteq [400, infinity)       
%            since less(v400, v800) => ∀X. X>=800 => X>=400.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL311-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   88 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   63 (  10   ~;   9   |;  23   &)
%                                         (   8 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   0 prp; 1-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   58 (  56   !;   2   ?)
% SPC      : FOF_THM_RFO_SEQ

% Comments : Requires MGT002+0.ax + MGT002+2.ax.
% Bugfixes : v9.3.1 - $distinct expanded to inequalities.
%--------------------------------------------------------------------------
include('Axioms/MGT002+0.ax').
include('Axioms/MGT002+2.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
%----v0 = domain lower bound (excluded); v400, v800 = constraint values
fof(val_v0,axiom,
    val(v0) ).

fof(val_v400,axiom,
    val(v400) ).

fof(val_v800,axiom,
    val(v800) ).

fof(ord_v0_v400,axiom,
    less(v0,v400) ).

fof(ord_v0_v800,axiom,
    less(v0,v800) ).

fof(ord_v400_v800,axiom,
    less(v400,v800) ).

fof(distinct,axiom,
    ( v0 != v400
    & v0 != v800
    & v400 != v800 ) ).

fof(odrl311,conjecture,
    ! [X] :
      ( leq(v800,X)
     => leq(v400,X) ) ).

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