# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_nums_num,h4s_wordss_bitu_u_count(s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/words/bit__count__is__zero', ch4s_wordss_bitu_u_countu_u_isu_u_zero)).
fof(6, axiom,![X1]:![X2]:(s(t_h4s_fcps_cart(t_bool,X1),X2)=s(t_h4s_fcps_cart(t_bool,X1),h4s_wordss_n2w(s(t_h4s_nums_num,h4s_nums_0)))<=>![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))))))=>~(p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_nums_num,X5))))))),file('i/f/words/bit__count__is__zero', ah4s_wordss_wordu_u_equ_u_0)).
fof(7, axiom,![X1]:![X2]:![X6]:(s(t_h4s_nums_num,h4s_wordss_bitu_u_countu_u_upto(s(t_h4s_nums_num,X6),s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))))=>~(p(s(t_bool,h4s_fcps_fcpu_u_index(s(t_h4s_fcps_cart(t_bool,X1),X2),s(t_h4s_nums_num,X5))))))),file('i/f/words/bit__count__is__zero', ah4s_wordss_bitu_u_countu_u_uptou_u_isu_u_zero)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_wordss_bitu_u_count(s(t_h4s_fcps_cart(t_bool,X1),X2)))=s(t_h4s_nums_num,h4s_wordss_bitu_u_countu_u_upto(s(t_h4s_nums_num,h4s_fcps_dimindex(s(t_h4s_bools_itself(X1),h4s_bools_theu_u_value))),s(t_h4s_fcps_cart(t_bool,X1),X2))),file('i/f/words/bit__count__is__zero', ah4s_wordss_bitu_u_countu_u_def)).
# SZS output end CNFRefutation
