Problem 2 (18 pts) The lady or the tiger? There are two rooms. Each of them is occupied by either a tiger or a lady, but not both. There is also a sign on the door of each room. One of the signs is true, bt he other is false. Here are the signs: Room I In this room there is a lady, and in the other room there is a tiger Room II In one of these rooms there is a lady and in one of these rooms there is a tiger Solve this problem in propositional logic: write down the given facts as sentences, and then prove by refutation using resolution either a lady is in room 1 or a lady is in room 2