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MMLU-Pro / 10862 / Use the following key to translate the given formula of PL to natural, English…

Problem

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

question

 Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
(A ∨ ~E) ≡ (D • ~B)

category

philosophy

options

  1. Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary condition for both Russell not making dinner and Izzy not playing Minecraft.
  2. Either Marina reads a Percy Jackson book or Ashleigh does not stop by just in case both Russell makes dinner and Izzy doesn't play Minecraft.
  3. Marina reads a Percy Jackson book or Ashleigh doesn't stop by only if Russell doesn't make dinner and Izzy plays Minecraft.
  4. Marina reads a Percy Jackson book unless Ashleigh stops by if, and only if, both Russell makes dinner and Izzy doesn't play Minecraft.
  5. Marina reads a Percy Jackson book or Ashleigh does not stop by only when Russell is making dinner and Izzy is not playing Minecraft.
  6. Either Marina reads a Percy Jackson book or Ashleigh doesn't stop by whenever Russell makes dinner and Izzy doesn't play Minecraft.
  7. Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary condition for Russell not making dinner and Izzy playing Minecraft.
  8. Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary and sufficient condition for Russell making dinner and Izzy playing Minecraft.
  9. Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary condition for both Russell making dinner and Izzy not playing Minecraft.
  10. Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary and sufficient condition for Russell not making dinner and Izzy playing Minecraft.

src

ori_mmlu-formal_logic

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Source and history

Official source

initial import