%--------------------------------------------------------------------------
% File     : CAT011-1 : TPTP v9.0.0. Released v1.0.0.
% Domain   : Category Theory
% Problem  : domain(domain(x)) = domain(x)
% Version  : [Mit67] axioms.
% English  :

% Refs     : [Mit67] Mitchell (1967), Theory of Categories
% Source   : [ANL]
% Names    : p11.ver1.in [ANL]

% Status   : Unsatisfiable
% Rating   : 0.08 v9.0.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.00 v2.0.0
% Syntax   : Number of clauses     :   19 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   46 (   2 equ;  28 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   0 prp; 1-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   52 (   5 sgn)
% SPC      : CNF_UNS_RFO_SEQ_HRN

% Comments :
%--------------------------------------------------------------------------
%----Include Mitchell's axioms for category theory
include('Axioms/CAT001-0.ax').
%--------------------------------------------------------------------------
cnf(prove_domain_is_idempotent,negated_conjecture,
    domain(domain(a)) != domain(a) ).

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