Case 263
The Empty Safe
A small office safe was found empty in the morning.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Hayden
“Neither Elliot nor Jules is guilty.”
Elliot
“Hayden is innocent.”
Finley
“Either Hayden or Quinn is guilty.”
Jules
“Either Elliot or Finley is guilty.”
Quinn
“Neither Hayden nor Jules is guilty.”
Who is guilty?
Solution: Finley
If Finley is guilty, Finley's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.