Translate the following inference to logic notation: For all x, if x_7 sleeps, then x_7 is making tea. There is at least one x for which x_7 is a soldier. For all x, if x_7 were a soldier, then x_7 is listening to a song. For all x, x_7 will sleep. Therefore there is at least one x for which x_7 will listen to a song and x_7 will make tea.
forall x: P(x) -> Q(x). exists x: R(x). forall x: R(x) -> S(x). forall x: P(x). Therefore exists x: S(x) and Q(x).