TPTP Problem File: GRP016-1.p
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%--------------------------------------------------------------------------
% File : GRP016-1 : TPTP v8.2.0. Released v1.0.0.
% Domain : Group Theory
% Problem : There is a homomorphism from a group to itself
% Version : [BL+86] axioms.
% English :
% Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% Source : [BL+86]
% Names : Problem 226-227 [BL+86]
% Status : Unknown
% Rating : 1.00 v2.0.0
% Syntax : Number of clauses : 167 ( 13 unt; 27 nHn; 137 RR)
% Number of literals : 423 ( 59 equ; 233 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 0 prp; 1-5 aty)
% Number of functors : 70 ( 70 usr; 8 con; 0-5 aty)
% Number of variables : 395 ( 33 sgn)
% SPC : CNF_UNK_RFO_SEQ_NHN
% Comments :
%--------------------------------------------------------------------------
%----Include Godel's set axioms
include('Axioms/SET003-0.ax').
%----Include the axioms for algebra from Godel's set axioms
include('Axioms/ALG001-0.ax').
%--------------------------------------------------------------------------
cnf(a_group,negated_conjecture,
group(f69,f70) ).
cnf(prove_there_is_a_homomorphism,negated_conjecture,
~ homomorphism(Y,f69,f70,f69,f70) ).
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