Problem Statement: Tony, Shi-Kuo and Ellen belong to the Hoofers Club. Every member of the Hoofers Club is either a skier or a mountain climber or both. No mountain climber likes rain, and all skiers like snow. Ellen dislikes whatever Tony likes and likes whatever Tony dislikes. Tony likes rain and snow. Query: Is there a member of the Hoofers Club who is a mountain climber but not a skier? Write a PROLOG program to represent the above problem, then write a query to find the answer.

Please write the prolog code for the problem.