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BIG-Bench Hard / Is Fred a cousin of Robert? Is Joe related to Bob? In large families, it is…

Problem

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input

"Is Fred a cousin of Robert? Is Joe related to Bob? In large families, it is sometimes difficult to keep track of all one's relatives. The following argument seeks to clarify some such relations: First premise: Nobody is neither a workmate of Calvin nor a schoolmate of Barton. We may conclude: Being a workmate of Calvin is necessary for not being a schoolmate of Barton."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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