The Phillies win the claim under the current rule:
3) If a player isn't claimed by any team in either league, he can be traded until the end of the month to anyone.
If a player is claimed, but only by one team, the player can be traded only to the team that claims him. If a player is claimed by more than one team, the club with the worst record in that player's league gets priority (player's league has priority over other league) -- and the player can be traded only to that team.