# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X1))))<=>?[X2]:s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X2)))),file('i/f/divides/PRIME__INDEX', ch4s_dividess_PRIMEu_u_INDEX)).
fof(20, axiom,![X10]:p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X10)))))),file('i/f/divides/PRIME__INDEX', ah4s_dividess_primePRIMES)).
fof(21, axiom,![X1]:(p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X1))))=>?[X2]:s(t_h4s_nums_num,h4s_dividess_primes(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X1)),file('i/f/divides/PRIME__INDEX', ah4s_dividess_PRIMESu_u_ONTO)).
# SZS output end CNFRefutation
