# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3))))))=>s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_arithmetics_u_2b(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))))))),s(t_h4s_lists_list(X1),X3)))=s(t_h4s_lists_list(X1),h4s_lists_snoc(s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X3)))))),file('i/f/rich_list/TAKE__EL__SNOC', ch4s_richu_u_lists_TAKEu_u_ELu_u_SNOC)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/rich_list/TAKE__EL__SNOC', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X2]:![X19]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19))))))=>s(t_h4s_lists_list(X1),h4s_lists_snoc(s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_el(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X19))),s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),X19)))))=s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_lists_list(X1),X19)))),file('i/f/rich_list/TAKE__EL__SNOC', ah4s_richu_u_lists_SNOCu_u_ELu_u_TAKE)).
fof(47, axiom,![X2]:![X15]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X2))),file('i/f/rich_list/TAKE__EL__SNOC', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(56, axiom,![X15]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),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/rich_list/TAKE__EL__SNOC', ah4s_arithmetics_ADD1)).
fof(62, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/rich_list/TAKE__EL__SNOC', ah4s_arithmetics_ONE)).
# SZS output end CNFRefutation
