Case 012
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.
Logan
“Neither Alex nor Rowan is guilty.”
Alex
“Logan and Rowan are both innocent.”
Rowan
“Either Logan or Reese is guilty.”
Reese
“Either Logan or Taylor is guilty.”
Taylor
“Neither Logan nor Rowan is guilty.”
Who is guilty?
Solution: Reese
If Reese is guilty, Reese's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.