Question: Question #5: Problem Statement: Jack, Mary and Erika belong to the Nature Club. Every member of the Nature Club is either a skier or a

Question #5:

Problem Statement: Jack, Mary and Erika belong to the Nature Club. Every member of the Nature Club is either a skier or a mountain climber or both. No mountain climber likes rain, and all skiers like snow. Erika dislikes whatever Jack likes. Jack likes rain and snow.

Prove by resolution refutation in FOL that exits a member of the Nature Club who is a mountain climber but not a skier.

Note. Use the following predicates:

M(x) x is a mountain climber

S(x) x is a skier

L(x, y) x likes y

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