# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,X3))))<=>(p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X3),s(t_fun(t_h4s_extreals_extreal,t_bool),X2))))&p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))=>![X2]:s(t_h4s_extreals_extreal,h4s_lebesgues_sequ_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_extreals_extreal,h4s_mins_u_40(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))))),file('i/f/lebesgue/seq__sup__def__compute_c0', ch4s_lebesgues_sequ_u_supu_u_defu_u_computeu_c0)).
fof(3, axiom,![X1]:(![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,X3))))<=>(p(s(t_bool,h4s_bools_in(s(t_h4s_extreals_extreal,X3),s(t_fun(t_h4s_extreals_extreal,t_bool),X2))))&p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_add(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))=>![X2]:s(t_h4s_extreals_extreal,h4s_lebesgues_sequ_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_extreals_extreal,h4s_mins_u_40(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_fun(t_h4s_extreals_extreal,t_bool),t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))))),file('i/f/lebesgue/seq__sup__def__compute_c0', ah4s_lebesgues_sequ_u_supu_u_defu_c0)).
# SZS output end CNFRefutation
