# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3)))&![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X2))))=>s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X5)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,X5),s(t_h4s_lists_list(X1),X3)))))=>s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))=s(t_h4s_lists_list(X1),X3)),file('i/f/list/GENLIST__EL', ch4s_lists_GENLISTu_u_EL)).
fof(12, axiom,![X1]:![X14]:![X15]:(s(t_h4s_lists_list(X1),X15)=s(t_h4s_lists_list(X1),X14)<=>(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X15)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X14)))&![X7]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X15))))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),X15)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),X14)))))),file('i/f/list/GENLIST__EL', ah4s_lists_LISTu_u_EQu_u_REWRITE)).
fof(13, axiom,![X1]:![X2]:![X4]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))))=s(t_h4s_nums_num,X2),file('i/f/list/GENLIST__EL', ah4s_lists_LENGTHu_u_GENLIST)).
fof(14, axiom,![X1]:![X7]:![X2]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X2))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X7)))),file('i/f/list/GENLIST__EL', ah4s_lists_ELu_u_GENLIST)).
# SZS output end CNFRefutation
