Translation Scheme

P: the Catwoman is on the prowl  

Q: the Riddler is on the prowl        

R: Gotham City will be destroyed

S: Commissioner Gordon listens to Batman

T: Alfred fixes the batmobile

Using the given translation scheme, translate the following sentences into unambiguous, idiomatic English.

1.  P -> (Q -> R)

2.  (P -> Q) -> R

3.  ~P -> Q

4.  P -> ~Q

5.  ~(P -> Q)

6.  ~P -> ~Q