# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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,X1))))<=>![X3]:(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,X3))))=>?[X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4))))=>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_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X5))),s(t_h4s_realaxs_real,X1))))),s(t_h4s_realaxs_real,X3))))))),file('i/f/seq/SEQ', ch4s_seqs_SEQ)).
fof(2, axiom,![X6]:![X1]:![X2]:![X7]:(p(s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_nums_num,X6),X2),s(X6,X1),s(t_h4s_pairs_prod(t_h4s_topologys_topology(X6),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(X6),h4s_topologys_mtop(s(t_h4s_topologys_metric(X6),X7))),s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d))))))<=>![X3]:(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,X3))))=>?[X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X4))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_topologys_dist(s(t_h4s_topologys_metric(X6),X7),s(t_h4s_pairs_prod(X6,X6),h4s_pairs_u_2c(s(X6,happ(s(t_fun(t_h4s_nums_num,X6),X2),s(t_h4s_nums_num,X5))),s(X6,X1))))),s(t_h4s_realaxs_real,X3))))))),file('i/f/seq/SEQ', ah4s_netss_SEQu_u_TENDS)).
fof(3, axiom,![X8]:![X2]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X2))))),file('i/f/seq/SEQ', ah4s_reals_ABSu_u_SUB)).
fof(4, axiom,![X8]:![X2]: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,X2),s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X2))))),file('i/f/seq/SEQ', ah4s_topologys_MR1u_u_DEF)).
fof(6, axiom,![X1]:![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,X1)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X1),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', ah4s_seqs_tendsu_u_numu_u_real)).
# SZS output end CNFRefutation
