Translate the following inference to logic notation: There is at least one x for which x_6 is a poet. For all x, x_6 will listen to a song or x_6 is a soldier. For all x, x_6 will not listen to a song or x_6 is a bartender. For all x, if x_6 were a soldier, then x_6 is a server. For all x, if x_6 were a bartender, then x_6 is a server. Therefore there is at least one x for which x_6 is a poet and x_6 is a server.
exists x: P(x). forall x: Q(x) or R(x). forall x: ~Q(x) or S(x). forall x: R(x) -> T(x). forall x: S(x) -> T(x). Therefore exists x: P(x) and T(x).