# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:![X4]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))),s(t_h4s_nums_num,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,X4)))))=>![X5]:![X3]:![X6]:![X2]:((p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X5)))))=>p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5)))))))),file('i/f/seq/SEQ__ADD', ch4s_seqs_SEQu_u_ADD)).
fof(2, axiom,![X6]:![X2]:s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X6)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X6),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(t_h4s_realaxs_real),h4s_topologys_mtop(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d))))),file('i/f/seq/SEQ__ADD', ah4s_seqs_tendsu_u_numu_u_real)).
fof(3, axiom,![X7]:![X1]:(![X2]:![X3]:![X4]:s(t_h4s_realaxs_real,happ(s(t_fun(X7,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(X7,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(X7,t_h4s_realaxs_real))),X1),s(t_fun(X7,t_h4s_realaxs_real),X2))),s(t_fun(X7,t_h4s_realaxs_real),X3))),s(X7,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,happ(s(t_fun(X7,t_h4s_realaxs_real),X2),s(X7,X4))),s(t_h4s_realaxs_real,happ(s(t_fun(X7,t_h4s_realaxs_real),X3),s(X7,X4)))))=>![X8]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X7,t_fun(X7,t_bool)),X8))))=>![X2]:![X6]:![X3]:![X5]:((p(s(t_bool,h4s_netss_tends(s(t_fun(X7,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X6),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(t_h4s_realaxs_real),h4s_topologys_mtop(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_fun(X7,t_fun(X7,t_bool)),X8))))))&p(s(t_bool,h4s_netss_tends(s(t_fun(X7,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X5),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(t_h4s_realaxs_real),h4s_topologys_mtop(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_fun(X7,t_fun(X7,t_bool)),X8)))))))=>p(s(t_bool,h4s_netss_tends(s(t_fun(X7,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(X7,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(t_fun(X7,t_h4s_realaxs_real),t_fun(X7,t_h4s_realaxs_real))),X1),s(t_fun(X7,t_h4s_realaxs_real),X2))),s(t_fun(X7,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5))),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(t_h4s_realaxs_real),h4s_topologys_mtop(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1))),s(t_fun(X7,t_fun(X7,t_bool)),X8))))))))),file('i/f/seq/SEQ__ADD', ah4s_netss_NETu_u_ADD)).
fof(5, axiom,p(s(t_bool,h4s_netss_dorder(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d)))),file('i/f/seq/SEQ__ADD', ah4s_netss_DORDERu_u_NGE)).
# SZS output end CNFRefutation
