%--------------------------------------------------------------------------
% File     : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : 4-axis box containment: width axis escapes => Conflict
% Version  : Especial.
% English  : Width:  (0,800] not_subset (0,600] Conflict <= escape axis
%            Height: (0,400] subseteq (0,800]  Compatible
%            Depth:  (0,16]  subseteq (0,32]   Compatible
%            Alt:    (0,150] subseteq (0,300]  Compatible
%            box_subs chained: one Conflict => overall Conflict

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL653-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   80 (  51 unt;   0 def)
%            Number of atoms       :  183 (  77 equ)
%            Maximal formula atoms :   28 (   2 avg)
%            Number of connectives :  144 (  41   ~;  15   |;  60   &)
%                                         (   8 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   0 prp; 1-4 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-6 aty)
%            Number of variables   :   92 (  90   !;   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+7.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v0,axiom,
    val(v0) ).

fof(val_v16,axiom,
    val(v16) ).

fof(val_v32,axiom,
    val(v32) ).

fof(val_v150,axiom,
    val(v150) ).

fof(val_v300,axiom,
    val(v300) ).

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

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

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

fof(ord_v0_v16,axiom,
    less(v0,v16) ).

fof(ord_v0_v32,axiom,
    less(v0,v32) ).

fof(ord_v0_v150,axiom,
    less(v0,v150) ).

fof(ord_v0_v300,axiom,
    less(v0,v300) ).

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

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

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

fof(ord_v16_v32,axiom,
    less(v16,v32) ).

fof(ord_v16_v150,axiom,
    less(v16,v150) ).

fof(ord_v16_v300,axiom,
    less(v16,v300) ).

fof(ord_v16_v400,axiom,
    less(v16,v400) ).

fof(ord_v16_v600,axiom,
    less(v16,v600) ).

fof(ord_v16_v800,axiom,
    less(v16,v800) ).

fof(ord_v32_v150,axiom,
    less(v32,v150) ).

fof(ord_v32_v300,axiom,
    less(v32,v300) ).

fof(ord_v32_v400,axiom,
    less(v32,v400) ).

fof(ord_v32_v600,axiom,
    less(v32,v600) ).

fof(ord_v32_v800,axiom,
    less(v32,v800) ).

fof(ord_v150_v300,axiom,
    less(v150,v300) ).

fof(ord_v150_v400,axiom,
    less(v150,v400) ).

fof(ord_v150_v600,axiom,
    less(v150,v600) ).

fof(ord_v150_v800,axiom,
    less(v150,v800) ).

fof(ord_v300_v400,axiom,
    less(v300,v400) ).

fof(ord_v300_v600,axiom,
    less(v300,v600) ).

fof(ord_v300_v800,axiom,
    less(v300,v800) ).

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 != v16
    & v0 != v32
    & v0 != v150
    & v0 != v300
    & v0 != v400
    & v0 != v600
    & v0 != v800
    & v16 != v32
    & v16 != v150
    & v16 != v300
    & v16 != v400
    & v16 != v600
    & v16 != v800
    & v32 != v150
    & v32 != v300
    & v32 != v400
    & v32 != v600
    & v32 != v800
    & v150 != v300
    & v150 != v400
    & v150 != v600
    & v150 != v800
    & v300 != v400
    & v300 != v600
    & v300 != v800
    & v400 != v600
    & v400 != v800
    & v600 != v800 ) ).

fof(no_subs_hint,axiom,
    ~ axis_subsumes(v0,v800,v0,v600) ).

fof(odrl653,conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) = conflict ).

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