Whether the sin of the first parent is transmitted, by the way of origin, to all men?

Objections

Objection 1 : It would seem that the sin of the first parent is not transmitted, by the way of origin, to all men. Because death is a punishment consequent upon original sin. But not all those, who are born of the seed of Adam, will die: since those who will be still living at the coming of our Lord, will never die, as, seemingly, may be gathered from 1 Thess. 4:14: "We who are alive . . . unto the coming of the Lord, shall not prevent them who have slept." Therefore they do not contract original sin.
Objection 2 : Further, no one gives another what he has not himself. Now a man who has been baptized has not original sin. Therefore he does not transmit it to his children.
Objection 3 : Further, the gift of Christ is greater than the sin of Adam, as the Apostle declares (Rm. 5:15, seqq). But the gift of Christ is not transmitted to all men: neither, therefore, is the sin of Adam.