TPTP Problem File: MGT095+1.p

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%--------------------------------------------------------------------------
% File     : MGT095+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : CSA ConflictCriterion: claim NOT disjoint cc (wrong)
% Version  : Especial.
% English  : Flip of ODRL605: [v0,v5] vs [v6,v10] strictly separated.
%            Wrong claim: ~disjoint(v0,v5,c,c,v6,v10,c,c).
%            Countermodel: less(v5,v6) => disjoint holds.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL705-1.p [MC+26]

% Status   : CounterSatisfiable
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   55 (  28 unt;   0 def)
%            Number of atoms       :  118 (  32 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   78 (  15   ~;  11   |;  26   &)
%                                         (  13 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   0 prp; 1-8 aty)
%            Number of functors    :   16 (  16 usr;  15 con; 0-2 aty)
%            Number of variables   :   74 (  72   !;   2   ?)
% 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').
include('Axioms/MGT002+5.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering 
fof(val_v0,axiom,
    val(v0) ).

fof(val_v5,axiom,
    val(v5) ).

fof(val_v6,axiom,
    val(v6) ).

fof(val_v10,axiom,
    val(v10) ).

fof(ord_v0_v5,axiom,
    less(v0,v5) ).

fof(ord_v5_v6,axiom,
    less(v5,v6) ).

fof(ord_v6_v10,axiom,
    less(v6,v10) ).

fof(distinct,axiom,
    ( v0 != v5
    & v0 != v6
    & v0 != v10
    & v5 != v6
    & v5 != v10
    & v6 != v10 ) ).

%----Conjecture (WRONG - countermodel exists) 
fof(odrl705,conjecture,
    ~ disjoint(v0,v5,closed,closed,v6,v10,closed,closed) ).

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