Case 213
The Disabled Camera
A security camera was deliberately switched off.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Riley
“Jules is innocent.”
Finley
“Riley and Jules are both innocent.”
Jules
“Neither Riley nor Finley is guilty.”
Hayden
“Either Finley or Peyton is guilty.”
Peyton
“Finley is guilty.”
Who is guilty?
Solution: Peyton
If Peyton is guilty, Peyton's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.