(Translate the following argument into PL using letters to represent simple propositions as needed.) Given the following scenario, is it possible that all three witnesses told the truth? If so, what can we conclude about Lewis, Howard, and Conrad? Scenario: Cindy, Jane, and Amanda, witnessed a bank robbery. At trial, Cindy testified that Lewis didn't enter the bank, and if Howard pulled a gun, then Conrad collected the money. Jane testified that if Howard did not pull a gun, then Lewis entered the bank. Amanda testified that if Conrad collected the money, then Howard pulled a gun.

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