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If either someone likes Alfred or Alfred likes someone, then Alfred is happy. Alfred is happy. Therefore, either someone likes Alfred or Alfred likes someone.

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This question has three parts. Translate the argument provided in this prompt into formal logic and then use the truth-tree decision procedure (relying on Proof Tools or pencil/pen and paper) to determine whether the argument is deductively valid or invalid. In providing your answer:state how the argument is translated into RL,state whether the argument is deductively valid or invalid (entailment or non-entailment)if the argument is invalid (non-entailment), illustrate its invalidity (non-entailment) with a RL model. Use the following translation key: aa=Alfred, bb=Barb, cc=Cathy, dd=David, HxHx=x is happy, LxyLxy= x likes y, SxSx=x is sad.Here is the argument: If either someone likes Alfred or Alfred likes someone, then Alfred is happy. Alfred is happy. Therefore, either someone likes Alfred or Alfred likes someone.

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