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BIG-Bench Hard / Is Fred a fan of Liverpool? Are supporters of Real Madrid devotees of PSG? In…

Problem

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"Is Fred a fan of Liverpool? Are supporters of Real Madrid devotees of PSG? In European football, it is sometimes difficult to keep track of the mutual admiration and dislike. The following argument seeks to clarify some such relations: First, everyone who is both an opponent to Real Sociedad de Fútbol and an ex-fan of Beşiktaş JK is a follower of Liverpool FC, too. Second, being an admirer of HŠK Zrinjski is sufficient for not being an opponent to Real Sociedad de Fútbol. Third, whoever is an admirer of HŠK Zrinjski is not an ex-fan of Beşiktaş JK. In consequence, every admirer of HŠK Zrinjski is a follower of Liverpool FC."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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