How does batman survive doomsday s attack?

The available evidence only confirms that Doomsday is a supervillain in DC Comics and that he appears in the film Batman v Superman: Dawn of Justice, voiced by Robin Atkin Downes. There is no mention in these sources of Batman encountering or surviving an assault by Doomsday. Consequently, based on the verified information provided, it cannot be stated that Batman survives such an attack. Further research would be required to determine if any storyline, comic arc, or film depicts Batman facing Doomsday.