Use the symbolization key given to translate each English sentence into SL.
A: Mr. Ace was murdered.
B: The butler did it.
C: The cook did it.
D: The Duchess is lying.
E: Mr. Edge was murdered.
F: The murder weapon was a frying pan.
1. Either Mr. Ace or Mr. Edge was murdered.
2. If Mr. Ace was murdered, then the cook did it.
3. If Mr. Edge was murdered, then the cook did not do it.
4. Either the butler did it, or the Duchess is lying.
5. The cook did it only if the Duchess is lying.
6. If the murder weapon was a frying pan, then the culprit must have been the cook.
7. If the murder weapon was not a frying pan, then the culprit was either the cook or the butler.
8. Mr. Ace was murdered if and only if Mr. Edge was not murdered.
9. The Duchess is lying, unless it was Mr. Edge who was murdered.
10. If Mr. Ace was murdered, the murder weapon was the frying pan.