# 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_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,X3)))=>![X5]:![X3]:![X2]:s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X5)))=s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real))),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,X3))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X5)))),file('i/f/lim/LIM__NULL', ch4s_lims_LIMu_u_NULL)).
fof(6, axiom,![X10]:![X1]:(![X5]:![X4]:![X11]:s(t_h4s_realaxs_real,happ(s(t_fun(X10,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(X10,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X10,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_fun(X10,t_h4s_realaxs_real))),X1),s(t_fun(X10,t_h4s_realaxs_real),X5))),s(t_h4s_realaxs_real,X4))),s(X10,X11)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(X10,t_h4s_realaxs_real),X5),s(X10,X11))),s(t_h4s_realaxs_real,X4)))=>![X4]:![X5]:![X9]:s(t_bool,h4s_netss_tends(s(t_fun(X10,t_h4s_realaxs_real),X5),s(t_h4s_realaxs_real,X4),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X10,t_fun(X10,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(X10,t_fun(X10,t_bool)),X9)))))=s(t_bool,h4s_netss_tends(s(t_fun(X10,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(X10,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X10,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_fun(X10,t_h4s_realaxs_real))),X1),s(t_fun(X10,t_h4s_realaxs_real),X5))),s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X10,t_fun(X10,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(X10,t_fun(X10,t_bool)),X9)))))),file('i/f/lim/LIM__NULL', ah4s_netss_NETu_u_NULL)).
fof(7, axiom,![X4]:![X3]:![X2]:s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X4)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_fun(t_h4s_realaxs_real,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_realaxs_real,t_fun(t_h4s_realaxs_real,t_bool)),h4s_netss_tendsto(s(t_h4s_pairs_prod(t_h4s_topologys_metric(t_h4s_realaxs_real),t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1),s(t_h4s_realaxs_real,X4))))))))),file('i/f/lim/LIM__NULL', ah4s_lims_tendsu_u_realu_u_real0)).
# SZS output end CNFRefutation
