I have stayed out of the fray for some time aware of the adamantine illogic and errors you propound - not worth getting into it on a forum. However, a few comments you make deserve some response:
However there are circumstances where the Pope has done so and four of these are:
1)Benedictus Deus an edict in which Pope Benedict XII defined the beatific vision and last judgement, stating inter alia that the saints receive the beatific vision immediately after death and prior to the resurrection of the body and the general judgement. He corrected the erroneous view of his predecessor in these matters and declared several matters infallibly, which I am sure you can find online. There is no mention of consultation in the edict and given the time in which it was issued there is no reason to suppose that there was any consultation.
Actually, there is reason to suppose there was consultation based on the entry from the Catholic Encyclopedia ( I know you will discount it, but it certainly references “heard opinions” and “four months” of study):
“Being a learned theologian, he was as bishop, cardinal, and pope, keenly interested in scholastic discussions. He terminated the controversy on the vexed question as to whether the Beatific Vision was enjoyed before or only after the General Judgment. John XXII had advocated the latter view and stirred up vigorous discussion. Eager to solve the question, Benedict
heard the opinions of those maintaining the theory of deferred vision, and,
with a commission of theologians, gave four months to patristic research.” (emphasis added)
newadvent.org/cathen/02430a.htm
2)Unam Sanctam where it is stated 'Furthermore, we declare, say, defines, and proclaim to every human creature that they by necessity for salvation are entirely subject to the Roman pontiff’. There is no consensus on whether the statement is infallible or not but seeing as it meets the definition of the First Vatican Council I cannot see how it would not be.
I guess we simply chalk you up to one side of the non-consensus.
3)The tome of Leo to Flavian.
Again, hardly a lock, but the Catholic Encyclopedia sure indicates an investigation: “Eutyches appealed to the pope after he had been excommunicated by Flavian, Patriarch of Constantinople, on account of his Monophysite views.
The pope, after investigating the disputed question, sent his sublime dogmatic letter to Flavian (ep. xxviii), concisely setting forth and confirming the doctrine of the Incarnation, and the union of the Divine and human natures in the one Person of Christ.”
newadvent.org/cathen/09154b.htm
4)Letter of Pope Agatho on the two wills of Christ to the third council of constantinople
Oddly, it’s part of a COUNCIL - and he clearly seems to have consulted others:
“The chief event of Agatho’s pontificate is, however the Sixth Ecumenical Council, held at Constantinople in 680, at which the papal legates presided and which practically ended the Monothelite heresy. Before the decrees of the council arrived in Rome for the approval of the pope, Agatho had died.”
newadvent.org/cathen/01204c.htm
and
fordham.edu/halsall/basis/const3.asp
"THE LETTER OF AGATHO, POPE OF OLD ROME, TO THE EMPEROR, AND THE LETTER OF AGATHO AND OF BISHOPS OF THE ROMAN SYNOD, ADDRESSED TO THE SIXTH COUNCIL.
(Read at the Fourth Session, November 15, at the request of George, Patriarch of Constantinople and his Suffragans.)
INTRODUCTORY NOTE.
(Bossuet, Defensio Cler. Gal. Lib. VII., cap. xxiv.)
All the fathers spoke one by one, and only after examination were the letters of St. Agatho and the whole Western Council approved.** Agatho, indeed, and the Western Bishops put forth their decrees thus** 'We have directed persons from our humility to your valour protected of God, which shall offer to you the report of us all, that is, of all the Bishops in the Northern or Western Regions, in which too we have summed up the confession of our Apostolic Faith,…"
And from the letter itself:
…and
taking advice with my fellow-servant bishops, as well concerning the approaching synod of this Apostolic See, as concerning our own clergy, the lovers of the Christian Empire, and, afterwards concerning the religious servants of God, that I might exhort them to follow in haste the footsteps of your most pious Tranquillity…
In both the latter cases, though they were requested they did not rely on the assent of the bishops for their authority nor consultation, indeed there would have no point in consultation as the documents were written to councils.
The point is in each case the Pope did consult with the Church though that is not the source of his authority - the inspiration of the Holy Spirit makes the statements authoritative.
IMHO - You really have a distorted view of the Petrine office that unfortunately blinds you and colors your reading.