# 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_fun(t_h4s_realaxs_real,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_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_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X4)))))=>![X5]:![X6]:![X7]:![X3]:![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,X7),s(t_h4s_realaxs_real,X5))))&p(s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X5)))))=>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)),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),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_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X7),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X5)))))),file('i/f/lim/LIM__MUL', ch4s_lims_LIMu_u_MUL)).
fof(2, axiom,![X4]:![X7]:![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,X7),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,X7),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__MUL', ah4s_lims_tendsu_u_realu_u_real0)).
fof(3, axiom,![X8]:![X1]:(![X5]:![X9]:![X10]:s(t_h4s_realaxs_real,happ(s(t_fun(X8,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(X8,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(X8,t_h4s_realaxs_real))),X1),s(t_fun(X8,t_h4s_realaxs_real),X5))),s(t_fun(X8,t_h4s_realaxs_real),X9))),s(X8,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,happ(s(t_fun(X8,t_h4s_realaxs_real),X5),s(X8,X10))),s(t_h4s_realaxs_real,happ(s(t_fun(X8,t_h4s_realaxs_real),X9),s(X8,X10)))))=>![X3]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X8,t_fun(X8,t_bool)),X3))))=>![X5]:![X9]:![X4]:![X11]:((p(s(t_bool,h4s_netss_tends(s(t_fun(X8,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(X8,t_fun(X8,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(X8,t_fun(X8,t_bool)),X3))))))&p(s(t_bool,h4s_netss_tends(s(t_fun(X8,t_h4s_realaxs_real),X9),s(t_h4s_realaxs_real,X11),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X8,t_fun(X8,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(X8,t_fun(X8,t_bool)),X3)))))))=>p(s(t_bool,h4s_netss_tends(s(t_fun(X8,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(X8,t_h4s_realaxs_real)),happ(s(t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(t_fun(X8,t_h4s_realaxs_real),t_fun(X8,t_h4s_realaxs_real))),X1),s(t_fun(X8,t_h4s_realaxs_real),X5))),s(t_fun(X8,t_h4s_realaxs_real),X9))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X11))),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X8,t_fun(X8,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(X8,t_fun(X8,t_bool)),X3))))))))),file('i/f/lim/LIM__MUL', ah4s_netss_NETu_u_MUL)).
fof(5, axiom,![X8]:![X5]:![X6]:p(s(t_bool,h4s_netss_dorder(s(t_fun(X8,t_fun(X8,t_bool)),h4s_netss_tendsto(s(t_h4s_pairs_prod(t_h4s_topologys_metric(X8),X8),h4s_pairs_u_2c(s(t_h4s_topologys_metric(X8),X6),s(X8,X5)))))))),file('i/f/lim/LIM__MUL', ah4s_netss_DORDERu_u_TENDSTO)).
# SZS output end CNFRefutation
