Saint Vincent of Lérins in his Commonitory says of the Carthage Synod [A.D. 254], “What was the end? What force was there in the African council? By God’s gift, none at all. All, as a dream or a tale, was abolished, forgotten.”
“Blessed Cyprian attempted to avoid heresy, and therefore rejected the baptism conferred by heretics, sent [the acts of] an African Council on this matter to Stephen, who was then Bishop of the city of Rome, and twenty-second from St. Peter; but his attempt was in vain. Eventually those very Bishops, who had decreed with him that heretics were to be rebaptized, returned to the ancient custom, and published a new decree.” — St Jerome, Against the Luciferians 23
St Augustine defended Cyprian repentance against the Donatists who had taken up a form of Cyprian's argument that all heretics had to be rebaptized: “He merited to attain the crown of martyrdom; so that any cloud which had obscured the brightness of his mind was driven away by the brilliant sunshine of his glorious blood” — On Baptism 1:18:28.