Since Albert knows Bernard doesn't know. That would rule out May and June since they have numbers that aren't shared with other months (18 and 19). If Benard was told 14. He wouldn't know either July or August and claims that he knows. So it's eitHer July 15 or August 15/17. However, Albert was told the month so it's clearly July 16 since if it was August he wouldn't know which day. July 16th it is.