Using the given symbolization key, translate each English-language assertion into Propositional Logic. a. Mister Ace was murdered.
b. The butler committed the murder.
c. The cook committed the murder.
d. The Duchess is lying.
e. Mister Edge was murdered.
f. The murder weapon was a frying pan.

1. If Mister Ace was murdered, then the cook did it.
2. If Mister Edge was murdered, then the cook did not do it.
3. If the murder weapon was a frying pan, then the culprit must have been the cook.
4. If the murder weapon was not a frying pan, then the culprit was either the cook or the butler.
5. Either the Duchess is lying, or it was Mister Edge who was murdered.
6. If Mister Ace was murdered, he was done in with a frying pan.
7. The cook murdered Mister Edge, but she did not use the frying pan.