# 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_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3)))))=>![X4]:![X2]:((p(s(t_bool,h4s_lims_contl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4))))&~(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),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_lims_contl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,X4)))))),file('i/f/lim/CONT__INV', ch4s_lims_CONTu_u_INV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/lim/CONT__INV', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/lim/CONT__INV', aHLu_FALSITY)).
fof(4, axiom,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X3)))))=>![X4]:![X5]:![X2]:((p(s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&~(s(t_h4s_realaxs_real,X5)=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_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),happ(s(t_fun(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real)),X1),s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2))),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,X4)))))),file('i/f/lim/CONT__INV', ah4s_lims_LIMu_u_INV)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f0)),file('i/f/lim/CONT__INV', aHLu_BOOLu_CASES)).
fof(7, axiom,![X4]:![X2]:s(t_bool,h4s_lims_contl(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4)))=s(t_bool,h4s_lims_tendsu_u_realu_u_real(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_realaxs_real),X2),s(t_h4s_realaxs_real,X4))),s(t_h4s_realaxs_real,X4))),file('i/f/lim/CONT__INV', ah4s_lims_CONTLu_u_LIM)).
# SZS output end CNFRefutation
