Translate the following inference to logic notation: For all x, x_12 will listen to a song and x_12 is a carpenter. For all x, x_12 will make tea if and only if x_12 is a soldier. For all x, if x_12 were a soldier, then x_12 is not listening to a song. For all x, if x_12 were a soldier, then x_12 is making tea. Therefore for all x, x_12 will not make tea.
forall x: P(x) and Q(x). forall x: R(x) <-> S(x). forall x: S(x) -> ~P(x). forall x: S(x) -> R(x). Therefore forall x: ~R(x).