# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_realaxs_real,X2))))&(p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X1))))&?[X5]:![X6]:(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,X6))),s(t_h4s_nums_num,X5))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X4),s(t_h4s_nums_num,X6))),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,X6)))))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X1))))),file('i/f/seq/SEQ__LE', ch4s_seqs_SEQu_u_LE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SEQ__LE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/seq/SEQ__LE', aHLu_FALSITY)).
fof(6, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/seq/SEQ__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1)))),file('i/f/seq/SEQ__LE', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(8, axiom,p(s(t_bool,h4s_netss_dorder(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__LE', ah4s_netss_DORDERu_u_NGE)).
fof(9, axiom,![X8]:![X3]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X8,t_fun(X8,t_bool)),X3))))=>![X9]:![X10]:![X11]:![X12]:((p(s(t_bool,h4s_netss_tends(s(t_fun(X8,t_h4s_realaxs_real),X9),s(t_h4s_realaxs_real,X10),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),X11),s(t_h4s_realaxs_real,X12),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))))))&?[X5]:(p(s(t_bool,happ(s(t_fun(X8,t_bool),happ(s(t_fun(X8,t_fun(X8,t_bool)),X3),s(X8,X5))),s(X8,X5))))&![X6]:(p(s(t_bool,happ(s(t_fun(X8,t_bool),happ(s(t_fun(X8,t_fun(X8,t_bool)),X3),s(X8,X6))),s(X8,X5))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,happ(s(t_fun(X8,t_h4s_realaxs_real),X9),s(X8,X6))),s(t_h4s_realaxs_real,happ(s(t_fun(X8,t_h4s_realaxs_real),X11),s(X8,X6))))))))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X12)))))),file('i/f/seq/SEQ__LE', ah4s_netss_NETu_u_LE)).
fof(11, axiom,![X10]:![X9]:s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X9),s(t_h4s_realaxs_real,X10)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X9),s(t_h4s_realaxs_real,X10),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__LE', ah4s_seqs_tendsu_u_numu_u_real)).
fof(12, axiom,![X6]:![X1]: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,X6))),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X6))),file('i/f/seq/SEQ__LE', ah4s_arithmetics_GREATERu_u_EQ)).
fof(13, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f0)),file('i/f/seq/SEQ__LE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
