# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_h4s_nums_num,X3)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_nums_num,X3)))))=>![X4]:![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,X4))))&~(s(t_h4s_realaxs_real,X4)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=>p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X4)))))))),file('i/f/seq/SEQ__INV', ch4s_seqs_SEQu_u_INV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SEQ__INV', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/seq/SEQ__INV', aHLu_FALSITY)).
fof(4, 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__INV', ah4s_netss_DORDERu_u_NGE)).
fof(5, axiom,![X5]:![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(X5,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X5,t_h4s_realaxs_real),t_fun(X5,t_h4s_realaxs_real)),X1),s(t_fun(X5,t_h4s_realaxs_real),X2))),s(X5,X3)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(X5,t_h4s_realaxs_real),X2),s(X5,X3)))))=>![X6]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X5,t_fun(X5,t_bool)),X6))))=>![X2]:![X4]:((p(s(t_bool,h4s_netss_tends(s(t_fun(X5,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X5,t_fun(X5,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(X5,t_fun(X5,t_bool)),X6))))))&~(s(t_h4s_realaxs_real,X4)=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=>p(s(t_bool,h4s_netss_tends(s(t_fun(X5,t_h4s_realaxs_real),happ(s(t_fun(t_fun(X5,t_h4s_realaxs_real),t_fun(X5,t_h4s_realaxs_real)),X1),s(t_fun(X5,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X4))),s(t_h4s_pairs_prod(t_h4s_topologys_topology(t_h4s_realaxs_real),t_fun(X5,t_fun(X5,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(X5,t_fun(X5,t_bool)),X6))))))))),file('i/f/seq/SEQ__INV', ah4s_netss_NETu_u_INV)).
fof(6, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/seq/SEQ__INV', aHLu_BOOLu_CASES)).
fof(8, axiom,![X4]:![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,X4)))=s(t_bool,h4s_netss_tends(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4),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__INV', ah4s_seqs_tendsu_u_numu_u_real)).
# SZS output end CNFRefutation
