TPTP Problem File: MGT104+1.p

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%--------------------------------------------------------------------------
% File     : MGT104+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : lt InfD violates wf condition (ii) - empty denotation
% Version  : Especial.
% English  : Intra-policy self-contradiction via wf_lt condition (ii).
%            width lt v0 (infimum): [infD, v0) with v0=InfD => empty.
%            def:profile condition (ii): op=lt => V != InfD.
%            Violated: denotation is empty, policy is ill-formed.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL762-1.p [MC+26]

% Status   : Unsatisfiable
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   58 (  27 unt;   0 def)
%            Number of atoms       :  130 (  41 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   92 (  20   ~;  13   |;  28   &)
%                                         (  13 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   0 prp; 1-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   88 (  86   !;   2   ?)
% SPC      : FOF_UNS_RFO_SEQ

% Comments : Intra-policy self-contradiction.
% Bugfixes : v9.3.1 - $distinct expanded to inequalities.
%--------------------------------------------------------------------------
include('Axioms/MGT002+0.ax').
include('Axioms/MGT002+2.ax').
include('Axioms/MGT002+8.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v0,axiom,
    val(v0) ).

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

fof(ord_v0_v1200,axiom,
    less(v0,v1200) ).

fof(distinct,axiom,
    v0 != v1200 ).

fof(contradiction,axiom,
    less(v0,v0) ).

%----No conjecture - contradiction in axioms 
%--------------------------------------------------------------------------