%--------------------------------------------------------------------------
% File     : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : U<V in domain implies conflict completion exists
% Version  : Especial.
% English  : unknown-sound sharpness_conflict:
%            leq(v0,v400) & less(v400,v800) & leq(v800,v1200)
%            => completion_conflict(v400, v800, v0, v1200).

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL633-1.p [MC+26]

% Status   : Theorem
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   42 (  15 unt;   0 def)
%            Number of atoms       :  116 (  29 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   87 (  13   ~;   9   |;  38   &)
%                                         (   8 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   0 prp; 1-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   83 (  81   !;   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+4.ax').
include('Axioms/MGT002+2.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v0,axiom,
    val(v0) ).

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

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

fof(val_v1200,axiom,
    val(v1200) ).

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

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

fof(ord_v800_v1200,axiom,
    less(v800,v1200) ).

fof(distinct,axiom,
    ( v0 != v400
    & v0 != v800
    & v0 != v1200
    & v400 != v800
    & v400 != v1200
    & v800 != v1200 ) ).

fof(odrl633,conjecture,
    completion_conflict(v400,v800,v0,v1200) ).

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