Translate the following inference to logic notation: For all x, x_11 will listen to a song if and only if x_11 is a mechanic. For all x, x_11 will cook or x_11 will listen to a song. For all x, if x_11 were a mechanic, then x_11 is driving a car. For all x, if x_11 cooks, then x_11 is a mechanic. There is at least one x for which x_11 is an artist. Therefore there is at least one x for which x_11 is an artist and x_11 will drive a car.
forall x: P(x) <-> Q(x). forall x: R(x) or P(x). forall x: Q(x) -> S(x). forall x: R(x) -> Q(x). exists x: T(x). Therefore exists x: T(x) and S(x).