# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))))),file('i/f/rich_list/all__distinct__count__list', ch4s_richu_u_lists_allu_u_distinctu_u_countu_u_list)).
fof(22, axiom,![X2]:![X23]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X2),X23))))<=>![X22]:![X21]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X22),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X23))))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X23)))))))=>(s(X2,happ(s(t_fun(t_h4s_lists_list(X2),X2),h4s_lists_el(s(t_h4s_nums_num,X22))),s(t_h4s_lists_list(X2),X23)))=s(X2,happ(s(t_fun(t_h4s_lists_list(X2),X2),h4s_lists_el(s(t_h4s_nums_num,X21))),s(t_h4s_lists_list(X2),X23)))<=>s(t_h4s_nums_num,X22)=s(t_h4s_nums_num,X21)))),file('i/f/rich_list/all__distinct__count__list', ah4s_lists_ELu_u_ALLu_u_DISTINCTu_u_ELu_u_EQ)).
fof(24, axiom,![X1]:![X24]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X24),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_nums_num),t_h4s_nums_num),h4s_lists_el(s(t_h4s_nums_num,X24))),s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X24)),file('i/f/rich_list/all__distinct__count__list', ah4s_richu_u_lists_ELu_u_COUNTu_u_LIST)).
fof(25, axiom,![X1]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/rich_list/all__distinct__count__list', ah4s_richu_u_lists_LENGTHu_u_COUNTu_u_LIST)).
# SZS output end CNFRefutation
