# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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,X1),s(t_h4s_realaxs_real,X2))))<=>![X4]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X4))))=>?[X5]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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))))&![X6]:((p(s(t_bool,h4s_realaxs_realu_u_lt(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,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X2))))))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X2))))),s(t_h4s_realaxs_real,X5)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(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),X3),s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,X4)))))))),file('i/f/lim/LIM', ch4s_lims_LIM)).
fof(2, axiom,![X7]:![X8]:![X1]:![X2]:![X9]:![X10]:![X3]:(p(s(t_bool,h4s_topologys_limpt(s(t_h4s_topologys_topology(X7),h4s_topologys_mtop(s(t_h4s_topologys_metric(X7),X10))),s(X7,X2),s(t_fun(X7,t_bool),h4s_predu_u_sets_univ))))=>(p(s(t_bool,h4s_netss_tends(s(t_fun(X7,X8),X3),s(X8,X1),s(t_h4s_pairs_prod(t_h4s_topologys_topology(X8),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(X8),h4s_topologys_mtop(s(t_h4s_topologys_metric(X8),X9))),s(t_fun(X7,t_fun(X7,t_bool)),h4s_netss_tendsto(s(t_h4s_pairs_prod(t_h4s_topologys_metric(X7),X7),h4s_pairs_u_2c(s(t_h4s_topologys_metric(X7),X10),s(X7,X2))))))))))<=>![X4]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X4))))=>?[X5]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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))))&![X6]:((p(s(t_bool,h4s_realaxs_realu_u_lt(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,h4s_topologys_dist(s(t_h4s_topologys_metric(X7),X10),s(t_h4s_pairs_prod(X7,X7),h4s_pairs_u_2c(s(X7,X6),s(X7,X2))))))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_topologys_dist(s(t_h4s_topologys_metric(X7),X10),s(t_h4s_pairs_prod(X7,X7),h4s_pairs_u_2c(s(X7,X6),s(X7,X2))))),s(t_h4s_realaxs_real,X5)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_topologys_dist(s(t_h4s_topologys_metric(X8),X9),s(t_h4s_pairs_prod(X8,X8),h4s_pairs_u_2c(s(X8,happ(s(t_fun(X7,X8),X3),s(X7,X6))),s(X8,X1))))),s(t_h4s_realaxs_real,X4))))))))),file('i/f/lim/LIM', ah4s_netss_LIMu_u_TENDS2)).
fof(3, axiom,![X11]:![X6]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X6))))),file('i/f/lim/LIM', ah4s_reals_ABSu_u_SUB)).
fof(5, axiom,![X2]:![X15]:![X3]: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,X15),s(t_h4s_realaxs_real,X2)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X15),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,X2))))))))),file('i/f/lim/LIM', ah4s_lims_tendsu_u_realu_u_real0)).
fof(6, axiom,![X11]:![X6]:s(t_h4s_realaxs_real,h4s_topologys_dist(s(t_h4s_topologys_metric(t_h4s_realaxs_real),h4s_topologys_mr1),s(t_h4s_pairs_prod(t_h4s_realaxs_real,t_h4s_realaxs_real),h4s_pairs_u_2c(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X6))))),file('i/f/lim/LIM', ah4s_topologys_MR1u_u_DEF)).
fof(7, axiom,![X6]:p(s(t_bool,h4s_topologys_limpt(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_h4s_realaxs_real,X6),s(t_fun(t_h4s_realaxs_real,t_bool),h4s_predu_u_sets_univ)))),file('i/f/lim/LIM', ah4s_topologys_MR1u_u_LIMPT)).
# SZS output end CNFRefutation
