Case 032
The Missing File
A signed contract file vanished from the archive.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Rowan
“Either Quinn or Alex is guilty.”
Sam
“Neither Kai nor Alex is guilty.”
Quinn
“Sam and Kai are both innocent.”
Kai
“Quinn is innocent.”
Alex
“Sam and Quinn are both innocent.”
Who is guilty?
Solution: Rowan
If Rowan is guilty, Rowan's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.