%--------------------------------------------------------------------------
% File     : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : box2_compatible: both axes overlap
% Version  : Especial.
% English  : box-verdict: [v0,v600]x[v0,v600] compatible with 
%            [v400,v800]x[v400,v800]
%            Both axes overlap: width [v0,v600]intersection[v400,v800] =
%            [v400,v600] != empty.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL624-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   47 (  17 unt;   0 def)
%            Number of atoms       :  120 (  30 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   86 (  13   ~;  10   |;  34   &)
%                                         (  17 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   0 prp; 1-9 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  102 ( 100   !;   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').
include('Axioms/MGT002+6.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v0,axiom,
    val(v0) ).

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

fof(val_v600,axiom,
    val(v600) ).

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

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

fof(ord_v0_v600,axiom,
    less(v0,v600) ).

fof(ord_v400_v600,axiom,
    less(v400,v600) ).

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

fof(ord_v600_v800,axiom,
    less(v600,v800) ).

fof(distinct,axiom,
    ( v0 != v400
    & v0 != v600
    & v0 != v800
    & v400 != v600
    & v400 != v800
    & v600 != v800 ) ).

fof(odrl624,conjecture,
    box2_compatible(v0,v600,v0,v600,v400,v800,v400,v800) ).

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