Translate the following inference to logic notation: For all x, if x were fast, then x is excited. For all x, if x were excited, then x is a musician. There is at least one x for which x is not a musician. For all x, if x were a musician, then x is excited. Therefore there is at least one x for which x is not fast.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). exists x: ~R(x). forall x: R(x) -> Q(x). Therefore exists x: ~P(x).