# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5))))))&s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X4))))=>s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_zip(s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X2),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X2),X4)))))))=s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_zip(s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X2),X4)))))))),file('i/f/rich_list/ZIP__TAKE', ch4s_richu_u_lists_ZIPu_u_TAKE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/ZIP__TAKE', aHLu_TRUTH)).
fof(9, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rich_list/ZIP__TAKE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X14]:s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X14))),s(t_h4s_lists_list(X1),X14)))=s(t_h4s_lists_list(X1),X14),file('i/f/rich_list/ZIP__TAKE', ah4s_lists_TAKEu_u_LENGTHu_u_ID)).
fof(13, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5))))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X4)))))))=>s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_zip(s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X2),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X2),X4)))))))=s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_take(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_zip(s(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(X2)),h4s_pairs_u_2c(s(t_h4s_lists_list(X1),X5),s(t_h4s_lists_list(X2),h4s_lists_take(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5))),s(t_h4s_lists_list(X2),X4)))))))))),file('i/f/rich_list/ZIP__TAKE', ah4s_richu_u_lists_ZIPu_u_TAKEu_u_LEQ)).
fof(14, axiom,![X15]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X15)))),file('i/f/rich_list/ZIP__TAKE', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
# SZS output end CNFRefutation
