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BIG-Bench Hard / Here comes a perfectly valid argument: To start with, nobody is neither a rare…

Problem

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input

"Here comes a perfectly valid argument: To start with, nobody is neither a rare consumer of L'Oreal shampoo nor a loyal buyer of Dial soap. Now, everyone who is not a loyal buyer of Matrix shampoo is not both a loyal buyer of Dial soap and a rare consumer of Softsoap soap. Moreover, being a rare consumer of Softsoap soap is necessary for not being a rare consumer of L'Oreal shampoo. It follows that nobody is neither a rare consumer of L'Oreal shampoo nor a loyal buyer of Matrix shampoo."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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Source and history

task_id
1576beb6-f635-58fa-a53e-86414a46fd55
task_key
formal~5ffallacies--main--1576beb6-f635-58fa-a53e-86414a46fd55
task_revision_id
1
config / split
formal_fallacies / main

Official source

initial import