%--------------------------------------------------------------------------
% File     : MGT099+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : gteq intersection lt compatible when equal
% Version  : Especial.
% English  : gteq 600 vs lt 600: [600,infinity) intersection (0,600)=null.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL739-1.p [MC+26]

% Status   : CounterSatisfiable
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   83 (  24 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   59 (   8   ~;   9   |;  22   &)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   0 prp; 1-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (  55   !;   3   ?)
% SPC      : FOF_CSA_RFO_SEQ

% Comments : CSA - wrong verdict claim, countermodel exists.
%          : Flip of corresponding THM problem.
% 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_v600,axiom,
    val(v600) ).

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

fof(distinct,axiom,
    v0 != v600 ).

%----Conjecture (WRONG - countermodel exists) 
fof(odrl739,conjecture,
    ? [X] :
      ( leq(v600,X)
      & in_open(X,v0,v600) ) ).

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