More precisely, she rests upon her esoteric understanding of antiquity. Rome dismisses any claims that any of its doctrines are not according to Scripture, and history and tradition, by claiming only she can rightly interpret them.
Remember that while RCAs debate Scripture in seeking to support their traditions, yet they are not to engage in objective examination to determine the truth, and conclusions contrary to Rome that are derived by this means are disallowed, as the only interpretation of Scripture (or tradition and history) that is allowed to have authority is that which Rome gives.
Scripture is not the basis for their assurance of the veracity of such, but the premise of Rome's veracity is, and their goal is to bring you to forsake Scripture as your supreme standard, and instead submit to Rome regardless of the lack of Scriptural substantiation.
Genesis 3:1 Now the serpent was more crafty than any other beast of the field that the Lord God had made. He said to the woman, Did God actually say,