Case 123
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.
Alex
“Neither Blake nor Taylor is guilty.”
Jordan
“Either Alex or Blake is guilty.”
Blake
“Either Jordan or Taylor is guilty.”
Taylor
“Blake and Logan are both innocent.”
Logan
“Alex is innocent.”
Who is guilty?
Solution: Jordan
If Jordan is guilty, Jordan's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.