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BIG-Bench Hard / Here comes a perfectly valid argument: First premise: Every schoolmate of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

input

"Here comes a perfectly valid argument: First premise: Every schoolmate of Barton is a son of Melvin. Second premise: Every half-brother of Todd is a son of Melvin. Third premise: Whoever is neither a half-brother of Darrin nor a schoolmate of Phillip is a half-brother of Todd or a schoolmate of Barton.so, necessarily, whoever is not a son of Melvin is however a half-brother of Darrin or a schoolmate of Phillip."
Is the argument, given the explicitly stated premises, deductively valid or invalid?
Options:
- valid 
- invalid

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