# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_bags_bagu_u_in(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_primefactors_primeu_u_factors(s(t_h4s_nums_num,X2)))))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', ch4s_primeFactors_PRIMEu_u_FACTORu_u_DIVIDES)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', aHLu_FALSITY)).
fof(22, axiom,![X1]:![X12]:![X13]:((p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X12))))&p(s(t_bool,h4s_bags_bagu_u_in(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X12)))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_bags_bagu_u_genu_u_prod(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X12),s(t_h4s_nums_num,X13))))))),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', ah4s_bags_BAGu_u_INu_u_DIVIDES)).
fof(23, axiom,![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))=>(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_primefactors_primeu_u_factors(s(t_h4s_nums_num,X2))))))&(![X14]:(p(s(t_bool,h4s_bags_bagu_u_in(s(t_h4s_nums_num,X14),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_primefactors_primeu_u_factors(s(t_h4s_nums_num,X2))))))=>p(s(t_bool,h4s_dividess_prime(s(t_h4s_nums_num,X14)))))&s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_bags_bagu_u_genu_u_prod(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_primefactors_primeu_u_factors(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', ah4s_primeFactors_PRIMEu_u_FACTORSu_u_def)).
fof(28, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', aHLu_BOOLu_CASES)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', aHLu_TRUTH)).
fof(31, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/primeFactor/PRIME__FACTOR__DIVIDES', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
