# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X1))))&p(s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1)))))=>s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,X2)),file('i/f/lim/LIM__UNIQ', ch4s_lims_LIMu_u_UNIQ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/lim/LIM__UNIQ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/lim/LIM__UNIQ', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/lim/LIM__UNIQ', aHLu_BOOLu_CASES)).
fof(5, axiom,![X6]:![X1]:![X2]: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),X2),s(X6,X1)))))))),file('i/f/lim/LIM__UNIQ', ah4s_netss_DORDERu_u_TENDSTO)).
fof(6, axiom,![X7]:![X6]:![X8]:![X9]:![X1]:![X10]:![X11]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X7,t_fun(X7,t_bool)),X10))))=>((p(s(t_bool,h4s_netss_tends(s(t_fun(X7,X6),X1),s(X6,X9),s(t_h4s_pairs_prod(t_h4s_topologys_topology(X6),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(X6),h4s_topologys_mtop(s(t_h4s_topologys_metric(X6),X11))),s(t_fun(X7,t_fun(X7,t_bool)),X10))))))&p(s(t_bool,h4s_netss_tends(s(t_fun(X7,X6),X1),s(X6,X8),s(t_h4s_pairs_prod(t_h4s_topologys_topology(X6),t_fun(X7,t_fun(X7,t_bool))),h4s_pairs_u_2c(s(t_h4s_topologys_topology(X6),h4s_topologys_mtop(s(t_h4s_topologys_metric(X6),X11))),s(t_fun(X7,t_fun(X7,t_bool)),X10)))))))=>s(X6,X9)=s(X6,X8))),file('i/f/lim/LIM__UNIQ', ah4s_netss_MTOPu_u_TENDSu_u_UNIQ)).
fof(7, axiom,![X9]:![X3]:![X4]:s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X9)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_realaxs_real,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(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,X9))))))))),file('i/f/lim/LIM__UNIQ', ah4s_lims_tendsu_u_realu_u_real0)).
# SZS output end CNFRefutation
