%--------------------------------------------------------------------------
% File     : SET035-4 : TPTP v9.0.0. Released v1.0.0.
% Domain   : Set Theory
% Problem  : Maps for composition
% Version  : [BL+86] axioms.
% English  :

% Refs     : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% Source   : [BL+86]
% Names    : Lemma 20 [BL+86]

% Status   : Unknown
% Rating   : 1.00 v2.0.0
% Syntax   : Number of clauses     :  144 (  14 unt;  20 nHn; 121 RR)
%            Number of literals    :  358 (  47 equ; 198 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   0 prp; 1-5 aty)
%            Number of functors    :   65 (  65 usr;  12 con; 0-5 aty)
%            Number of variables   :  320 (  28 sgn)
% SPC      : CNF_UNK_RFO_SEQ_NHN

% Comments :
%--------------------------------------------------------------------------
%----Include Godel's set axioms
include('Axioms/SET003-0.ax').
%--------------------------------------------------------------------------
cnf(one_mapping,hypothesis,
    maps(function1,a,b) ).

cnf(another_mapping,hypothesis,
    maps(function2,c,d) ).

cnf(prove_maps_for_composition,negated_conjecture,
    ~ maps(compose(function2,function1),a,d) ).

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