%--------------------------------------------------------------------------
% File     : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : 3-branch or: all branch pairs conflict => Conflict
% Version  : Especial.
% English  : PolicyA: width lteq 200 OR height lteq 100 OR depth lteq 50
%            PolicyB: width gteq 400 AND height gteq 200 AND depth gteq 100
%            All 3 branch pairs Conflict => verdictOr=Conflict

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL445-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   44 (  22 unt;   0 def)
%            Number of atoms       :  108 (  33 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   82 (  18   ~;  11   |;  33   &)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   0 prp; 1-4 aty)
%            Number of functors    :    9 (   9 usr;   8 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_v50,axiom,
    val(v50) ).

fof(val_v100,axiom,
    val(v100) ).

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

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

fof(ord_v0_v50,axiom,
    less(v0,v50) ).

fof(ord_v0_v100,axiom,
    less(v0,v100) ).

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

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

fof(ord_v50_v100,axiom,
    less(v50,v100) ).

fof(ord_v50_v200,axiom,
    less(v50,v200) ).

fof(ord_v50_v400,axiom,
    less(v50,v400) ).

fof(ord_v100_v200,axiom,
    less(v100,v200) ).

fof(ord_v100_v400,axiom,
    less(v100,v400) ).

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

fof(distinct,axiom,
    ( v0 != v50
    & v0 != v100
    & v0 != v200
    & v0 != v400
    & v50 != v100
    & v50 != v200
    & v50 != v400
    & v100 != v200
    & v100 != v400
    & v200 != v400 ) ).

fof(odrl445,conjecture,
    ~ ? [X,Y,Z] :
        ( ( in_lopen(X,v0,v200)
          | in_lopen(Y,v0,v100)
          | in_lopen(Z,v0,v50) )
        & leq(v400,X)
        & leq(v200,Y)
        & leq(v100,Z) ) ).

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