%--------------------------------------------------------------------------
% File     : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% Domain   : Management
% Problem  : issue/1 injectivity (distinct rules => distinct acts)
% Version  : Especial.
% English  : Two distinct rules pi1 != pi2.
%            Layer0 issue_injective: issue(A)=issue(B) => A=B.
%            Conjecture (FOF): issue(pi1) != issue(pi2).
%            Injectivity forces pi1=pi2 => contradiction with distinctness.

% Refs     : [MC+26] Mustafa et al. (2026), Axis Decomposition for ODRL
% Source   : [MC+26]
% Names    : GRND023-policy-issuance-1.p [MC+26]

% Status   : Theorem
% Rating   : 0.00 v9.3.0
% Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
%            Number of atoms       :    6 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 1-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)
% SPC      : FOF_THM_RFO_SEQ

% Comments : 
%--------------------------------------------------------------------------
fof(issue_injective,axiom,
    ! [A,B] :
      ( issue(A) = issue(B)
     => A = B ) ).

%----Layer 1: Problem-specific axioms (subset of Ax5.1-5.11, A1-A3, B1-B3)
%----Ground instance (gamma)
fof(rule_pi1,axiom,
    rule(pi1) ).

fof(rule_pi2,axiom,
    rule(pi2) ).

fof(pi1_neq_pi2,axiom,
    pi1 != pi2 ).

fof(conjecture,conjecture,
    issue(pi1) != issue(pi2) ).

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