%--------------------------------------------------------------------------
% File     : MGT100+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : Verdict algebra is satisfiable
% Version  : Especial.
% English  : The interval and verdict axioms are consistent.
%            Witness: [v0,v600] and [v400,v800] overlap at v400..v600.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL751-1.p [MC+26]

% Status   : Satisfiable
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   36 (  15 unt;   0 def)
%            Number of atoms       :   91 (  29 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   68 (  13   ~;   9   |;  26   &)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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   :   57 (  55   !;   2   ?)
% SPC      : FOF_SAT_RFO_SEQ

% Comments : 
% Bugfixes : v9.3.1 - $distinct expanded to inequalities.
%--------------------------------------------------------------------------
include('Axioms/MGT002+0.ax').
include('Axioms/MGT002+2.ax').
%--------------------------------------------------------------------------
%----Named constants and witness axioms 
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_v400_v600,axiom,
    less(v400,v600) ).

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

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

fof(compat_witness,axiom,
    axis_compatible(v0,v600,v400,v800) ).

%----No conjecture - satisfiability check 
%--------------------------------------------------------------------------