Whether death is the punishment of our first parents' sin?

Objections

Objection 1 : It would seem that death is not the punishment of our first parents' sin. For that which is natural to man cannot be called a punishment of sin, because sin does not perfect nature but vitiates it. Now death is natural to man: and this is evident both from the fact that his body is composed of contraries, and because "mortal" is included in the definition of man. Therefore death is not a punishment of our first parents' sin.
Objection 2 : Further, death and other bodily defects are similarly found in man as well as in other animals, according to Eccles. 3:19, "The death of man and of beasts is one, and the condition of them both equal." But in dumb animals death is not a punishment of sin. Therefore neither is it so in men.
Objection 3 : Further, the sin of our first parents was the sin of particular individuals: whereas death affects the entire human nature. Therefore it would seem that it is not a punishment of our first parents' sin.
Objection 4 : Further, all are equally descended from our first parents. Therefore if death were the punishment of our first parents' sin, it would follow that all men would suffer death in equal measure. But this is clearly untrue, since some die sooner, and some more painfully, than others. Therefore death is not the punishment of the first sin.
Objection 5 : Further, the evil of punishment is from God, as stated above (FP, Question [48], Article [6]; FP, Question [49], Article [2]). But death, apparently, is not from God: for it is written (Wis. 1:13): "God made not death." Therefore death is not the punishment of the first sin.
Objection 6 : Further, seemingly, punishments are not meritorious, since merit is comprised under good, and punishment under evil. Now death is sometimes meritorious, as in the case of a martyr's death. Therefore it would seem that death is not a punishment.
Objection 7 : Further, punishment would seem to be painful. But death apparently cannot be painful, since man does not feel it when he is dead, and he cannot feel it when he is not dying. Therefore death is not a punishment of sin.
Objection 8 : Further, if death were a punishment of sin, it would have followed sin immediately. But this is not true, for our first parents lived a long time after their sin (Gn. 5:5). Therefore, seemingly, death is not a punishment of sin.