robert o'neill , who claims the distinction of personally shooting dead the al qaeda leader , will treat specially-invited guests to a weekend shooting retreat in jackson hole , wyoming .
potential attendees were contacted by the right-leaning for america non-profit and told to write back by may 10 for a chance to open fire alongside o'neill 's score .
the shooting will take the form of a competition , in which guests will try to beat o'neill 's score .