Translate the following inference to logic notation: Robert is a carpenter. For all x, if x_16 works, then x_16 is playing a game. For all x, if x_16 were a scientist, then x_16 is playing a game. For all x, x_16 will work or x_16 is a scientist. For all x, x_16 is an astronaut. Therefore David is an astronaut and Robert is a carpenter.
p. forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: P(x) or R(x). forall x: S(x). Therefore S(a) and p.