score:3
cf. You Shall Worship One God: The Mystery of Loving Sacrifice in Salvation History by Fr. Philippe, O.P., ch. 1, §"Sacrifice Before the Law"
Adam did offer sacrifice (to offer sacrifice as part of our nature), but it seems it was not pleasing to God on account of his Original Sin. According to St. Thomas Aquinas (Summa Theologica II-II q. 85 a. 1 ad 2),
Perhaps the reason why we read of no sacrifice being offered by Adam may be that, as the origin of sin is ascribed to him, the origin of sanctification ought not to be represented as typified in him.
Also, "the time of Abel" ("tempore Abel") needn't exclude Adam.
St. Thomas quotes 1 Cor. 10:20 in Expositio in Symbolum Apostolorum article 1, when discussing four different motives that lead man to worship false gods:
the things which the heathens [gentes, έθνη] sacrifice, they sacrifice to devils, and not to God.
St. Paul distinguishes heathens/gentiles (gentes, Έλλησιν) and Jews from members of the Church of God ("ecclesiae Dei", εκκλησία του θεού) in v. 32.
Thus, the Church could be defined as that group of people which offers pleasing sacrifice to God.