Forgetting for the moment that the Bishop Of Rome had no authority outside the geographically limited jurisdiction of Rome, your claim of Iranaeus as your "authority" is problematic.
"The blessed Apostles, then, having founded and built up the church, committed into the hands of Linus the office of the episcopate. Of this Linus Paul makes mention in his Epistles to Timothy. To him succeeded Anacletus and after him, in third place from the Apostles, Clement was allotted the bishopric."
Peter is missing?
You seemingly have a habit of making dogmatic statements without attribution and expect others to accept them as fact. Opinion is one thing, statement of fact is another.
It would be nice if you provided supporting documentation every once in a while. Otherwise, I'm afraid you can't be taken seriously.
the truth of the Gospel was preserved until the times of Victor, who was the thirteenth bishop of Rome from Peter…Eusebius, Church History V.6
Unitarian Universalism is a liberal religious tradition that was formed from the consolidation of two different religions: Unitarianism and Universalism. Both began in Europe hundreds of years ago.In America, the Universalist Church of America was founded in 1793, and the American Unitarian Association in 1825. After consolidating in 1961, these faiths became the new religion of Unitarian Universalism through the Unitarian Universalist Association (UUA).
Both religions have long histories and have contributed important theological concepts that remain central to Unitarian Universalism. Originally, all Unitarians were Christians who didn't believe in the Holy Trinity of God (Father, Son, and Holy Ghost), but in the unity, or single aspect, of God. Later, Unitarian beliefs stressed the importance of rational thinking, a direct relationship with God, and the humanity of Jesus. Universalism emerged as a Christian denomination with a central belief in universal salvation; that is, that all people will eventually be reconciled with God.
Source.
If you are going to blast me for not providing supporting documentation, then when you do, please include all that is relevant to the discussion.
2. Since, however, it would be very tedious, in such a volume as this, to reckon up the successions of all the Churches, we do put to confusion all those who, in whatever manner, whether by an evil self-pleasing, by vainglory, or by blindness and perverse opinion, assemble in unauthorized meetings; [we do this, I say,] by indicating that tradition derived from the apostles, of the very great, the very ancient, and universally known Church founded and organized at Rome by the two most glorious apostles, Peter and Paul; as also [by pointing out] the faith preached to men, which comes down to our time by means of the successions of the bishops. For it is a matter of necessity that every Church should agree with this Church, on account of its preeminent authority, that is, the faithful everywhere, inasmuch as the tradition has been preserved continuously by those [faithful men] who exist everywhere.
Why would he list Peter again?