# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_lists_list(X1),t_fun(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2)))),X3),s(t_h4s_lists_list(X1),X4))),s(t_fun(t_h4s_nums_num,X2),X5))),s(t_h4s_nums_num,X6)))=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,h4s_lists_el(s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),X4))),s(X2,happ(s(t_fun(t_h4s_nums_num,X2),X5),s(t_h4s_nums_num,X6)))))=>![X7]:![X4]:![X5]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X4)))=s(t_h4s_nums_num,X7)=>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),X4),s(t_h4s_lists_list(X2),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X2),X5),s(t_h4s_nums_num,X7)))))))=s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_lists_list(X1),t_fun(t_fun(t_h4s_nums_num,X2),t_fun(t_h4s_nums_num,t_h4s_pairs_prod(X1,X2)))),X3),s(t_h4s_lists_list(X1),X4))),s(t_fun(t_h4s_nums_num,X2),X5))),s(t_h4s_nums_num,X7))))),file('i/f/list/ZIP__GENLIST', ch4s_lists_ZIPu_u_GENLIST)).
fof(6, axiom,![X1]:![X7]:![X5]: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),X5),s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,X7),file('i/f/list/ZIP__GENLIST', ah4s_lists_LENGTHu_u_GENLIST)).
fof(7, axiom,![X1]:![X6]:![X7]:![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X7))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X5),s(t_h4s_nums_num,X7)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X5),s(t_h4s_nums_num,X6)))),file('i/f/list/ZIP__GENLIST', ah4s_lists_ELu_u_GENLIST)).
fof(9, axiom,![X1]:![X2]:![X18]:![X19]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X18)))=>(s(t_h4s_nums_num,h4s_lists_length(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),X19),s(t_h4s_lists_list(X2),X18)))))))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19)))&s(t_h4s_nums_num,h4s_lists_length(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),X19),s(t_h4s_lists_list(X2),X18)))))))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X18))))),file('i/f/list/ZIP__GENLIST', ah4s_lists_LENGTHu_u_ZIP)).
fof(10, axiom,![X1]:![X2]:![X7]:![X18]:![X19]:((s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X18)))&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),X19)))))))=>s(t_h4s_pairs_prod(X1,X2),h4s_lists_el(s(t_h4s_nums_num,X7),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),X19),s(t_h4s_lists_list(X2),X18)))))))=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X1),X19))),s(X2,h4s_lists_el(s(t_h4s_nums_num,X7),s(t_h4s_lists_list(X2),X18)))))),file('i/f/list/ZIP__GENLIST', ah4s_lists_ELu_u_ZIP)).
fof(11, axiom,![X1]:![X18]:![X19]:(s(t_h4s_lists_list(X1),X19)=s(t_h4s_lists_list(X1),X18)<=>(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X18)))&![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X19))))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),X19)))=s(X1,h4s_lists_el(s(t_h4s_nums_num,X6),s(t_h4s_lists_list(X1),X18)))))),file('i/f/list/ZIP__GENLIST', ah4s_lists_LISTu_u_EQu_u_REWRITE)).
# SZS output end CNFRefutation
