One being speaks the truth, one speaks so as to always leave the hearer believing an untruth. You can ask one question. Go.
@ProofOfLogic it can't read your mind, so it will only reliably deceive you about the question you ask if.
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@ProofOfLogic harder version: it can read your mind, and will answer so as to leave you uninformed about the thing you actually want to know -
@ProofOfLogic that may not be solvable though.
End of conversation
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