# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(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_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_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3)))))=>![X4]:![X5]:![X2]:((p(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,X5),s(t_h4s_realaxs_real,X4))))&~(s(t_h4s_realaxs_real,X5)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=>p(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_fun(t_h4s_realaxs_real,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,h4s_realaxs_inv(s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,X4)))))),file('i/f/lim/LIM__INV', ch4s_lims_LIMu_u_INV)).
fof(2, axiom,![X3]:![X5]:![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,X5),s(t_h4s_realaxs_real,X3)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X5),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,X3))))))))),file('i/f/lim/LIM__INV', ah4s_lims_tendsu_u_realu_u_real0)).
fof(3, axiom,![X6]:![X1]:(![X4]:![X7]:s(t_h4s_realaxs_real,happ(s(t_fun(X6,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X6,t_h4s_realaxs_real),t_fun(X6,t_h4s_realaxs_real)),X1),s(t_fun(X6,t_h4s_realaxs_real),X4))),s(X6,X7)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(X6,t_h4s_realaxs_real),X4),s(X6,X7)))))=>![X8]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X6,t_fun(X6,t_bool)),X8))))=>![X4]:![X3]:((p(s(t_bool,h4s_netss_tends(s(t_fun(X6,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X3),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X6,t_fun(X6,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(X6,t_fun(X6,t_bool)),X8))))))&~(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)))))=>p(s(t_bool,h4s_netss_tends(s(t_fun(X6,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X6,t_h4s_realaxs_real),t_fun(X6,t_h4s_realaxs_real)),X1),s(t_fun(X6,t_h4s_realaxs_real),X4))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X3))),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X6,t_fun(X6,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(X6,t_fun(X6,t_bool)),X8))))))))),file('i/f/lim/LIM__INV', ah4s_netss_NETu_u_INV)).
fof(5, axiom,![X6]:![X4]:![X11]:p(s(t_bool,h4s_netss_dorder(s(t_fun(X6,t_fun(X6,t_bool)),h4s_netss_tendsto(s(t_h4s_pairs_prod(t_h4s_topologys_metric(X6),X6),h4s_pairs_u_2c(s(t_h4s_topologys_metric(X6),X11),s(X6,X4)))))))),file('i/f/lim/LIM__INV', ah4s_netss_DORDERu_u_TENDSTO)).
# SZS output end CNFRefutation
