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BIG-Bench Hard / Here comes a perfectly valid argument: First of all, being a classmate of…

Problem

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input

"Here comes a perfectly valid argument: First of all, being a classmate of Williams is necessary for not being a workmate of Leslie. Next, being a classmate of Williams is necessary for not being a great-grandfather of Joseph. Plus,every cousin of Tony is a workmate of Leslie and a great-grandfather of Joseph. Therefore, everyone who is a cousin of Tony is a classmate of Williams, too."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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