%--------------------------------------------------------------------------
% File     : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : Y boundary excluded on right kills 3D box => Conflict
% Version  : Especial.
% English  : Width: cc: (0,600]intersection[600,infinity)={600} Compatible
%            Height: co: (0,400]intersection(400,infinity)=null Conflict
%            Depth: cc: (0,200]intersection[200,infinity)={200} Compatible
%            Height contradiction kills the 3D box.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL432-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   39 (  17 unt;   0 def)
%            Number of atoms       :   99 (  29 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   74 (  14   ~;   9   |;  31   &)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   0 prp; 1-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (  55   !;   5   ?)
% 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 
fof(val_v0,axiom,
    val(v0) ).

fof(val_v200,axiom,
    val(v200) ).

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

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

fof(ord_v0_v200,axiom,
    less(v0,v200) ).

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

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

fof(ord_v200_v400,axiom,
    less(v200,v400) ).

fof(ord_v200_v600,axiom,
    less(v200,v600) ).

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

fof(distinct,axiom,
    ( v0 != v200
    & v0 != v400
    & v0 != v600
    & v200 != v400
    & v200 != v600
    & v400 != v600 ) ).

fof(odrl432,conjecture,
    ~ ? [X,Y,Z] :
        ( in_lopen(X,v0,v600)
        & leq(v600,X)
        & in_lopen(Y,v0,v400)
        & less(v400,Y)
        & in_lopen(Z,v0,v200)
        & leq(v200,Z) ) ).

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