%--------------------------------------------------------------------------
% File     : CAT009-4 : TPTP v9.0.0. Released v1.0.0.
% Domain   : Category Theory
% Problem  : If xy is defined, then domain(xy) = domain(y)
% Version  : [Sco79] axioms : Reduced > Complete.
% English  :

% Refs     : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% Source   : [TPTP]
% Names    :

% Status   : Unsatisfiable
% Rating   : 0.00 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.20 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.44 v2.2.0, 0.57 v2.1.0, 0.60 v2.0.0
% Syntax   : Number of clauses     :   13 (   5 unt;   0 nHn;  10 RR)
%            Number of literals    :   23 (   8 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   0 prp; 1-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)
% SPC      : CNF_UNS_RFO_SEQ_HRN

% Comments : The dependent axioms have been removed. The ANL version has
%            been extended to use all axioms.
%--------------------------------------------------------------------------
%----Include Scott's axioms for category theory
include('Axioms/CAT004-0.ax').
%--------------------------------------------------------------------------
cnf(ab_exists,hypothesis,
    there_exists(compose(a,b)) ).

cnf(prove_domain_of_ab_equals_domain_of_b,negated_conjecture,
    domain(compose(a,b)) != domain(b) ).

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