TPTP Problem File: MGT096+1.p

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%--------------------------------------------------------------------------
% File     : MGT096+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Domain   : Management
% Problem  : CSA Completion: claim conflict completion holds when U=V (wrong)
% Version  : Especial.
% English  : Flip of ODRL637: ~completion_conflict(v600,v600,v0,v1200).
%            Wrong claim: completion_conflict(v600,v600,...) holds.
%            Requires less(v600,v600) - contradicts irreflexivity.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : ODRL710-1.p [MC+26]

% Status   : CounterSatisfiable
% Rating   : ? v9.3.1
% Syntax   : Number of formulae    :   40 (  13 unt;   0 def)
%            Number of atoms       :  111 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   81 (  10   ~;   9   |;  35   &)
%                                         (   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    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   83 (  81   !;   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+4.ax').
%--------------------------------------------------------------------------
%----Named constants and ordering
fof(val_v0,axiom,
    val(v0) ).

fof(val_v600,axiom,
    val(v600) ).

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

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

fof(ord_v600_v1200,axiom,
    less(v600,v1200) ).

fof(distinct,axiom,
    ( v0 != v600
    & v0 != v1200
    & v600 != v1200 ) ).

%----Conjecture (WRONG - countermodel exists)
fof(odrl710,conjecture,
    completion_conflict(v600,v600,v0,v1200) ).

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