Translate the following inference to logic notation: For all x, x will go running if and only if x is an artist. For all x, x is not an artist. For all x, x will go running if and only if x is curious. For all x, if x were curious, then x is running. Therefore for all x, x is not curious.
forall x: P(x) <-> Q(x). forall x: ~Q(x). forall x: P(x) <-> R(x). forall x: R(x) -> P(x). Therefore forall x: ~R(x).