%------------------------------------------------------------------------------
% File     : SWX205+1 : TPTP v9.3.0. Released v9.3.0.
% Domain   : Software Verification
% Problem  : Faulty property about addition of natural numbers
% Version  : Especial.
% English  :

% Refs     : [CST26] Claessen et al. (2026), Email to Geoff Sutcliffe
% Source   : [CST26]
% Names    : Nat_plus_ninf.p [CST26]

% Status   : CounterSatisfiable
% Rating   : 0.33 v9.3.0
% Syntax   : Number of formulae    :    3 (   3 unt;   0 def)
%            Number of atoms       :    3 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :    3 (   2   !;   1   ?)
% SPC      : FOF_CSA_RFO_PEQ

% Comments :
%------------------------------------------------------------------------------
fof(axiom_001,axiom,
    ! [X] : proj1S(s(X)) = X ).

fof(axiom_002,axiom,
    ! [X] : z != s(X) ).

fof(goal_003,conjecture,
    ? [X] : s(X) = X ).

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