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BIG-Bench Hard / Here comes a perfectly valid argument: To start with, no half-sister of Nelda…

Problem

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input

"Here comes a perfectly valid argument: To start with, no half-sister of Nelda is a close friend of Terrie or a cousin of Amanda. Now, it is false that Gretchen is a close friend of Terrie. Moreover, it is false that Gretchen is a cousin of Amanda. We may conclude: It is not the case that Gretchen is a half-sister of Nelda."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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