Here, Paul named himself first and Peter last...And Paul nor anyone else mentions Peter in Rome...And supposedly he was the head of the Roman Catholic church...
1Co_1:12 Now this I say, that every one of you saith, I am of Paul; and I of Apollos; and I of Cephas; and I of Christ.
Gal_2:9 And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision.
I'd say that blows that boat right out of the water before you even get started...
In the epilogue[33] of the Gospel of John, Jesus hints at the death by which Peter would glorify God,[Jn. 21:18-19]saying "…when you are old you will stretch out your hands, and another will dress you and take you where you do not want to go." This is interpreted by some as a reference to Peter's crucifixion.[21]
According to the 1911 Catholic Encyclopedia, Peter labored in Rome during the last portion of his life, and there his life was ended by martyrdom.[46] The death of Peter is attested to by Tertullian at the end of the 2nd century, and by Origen in Eusebius, Church History III.1. Origen wrote: "Peter was crucified at Rome with his head downwards, as he himself had desired to suffer."[26] This is why an upside down cross is generally accepted as a symbol of Peter, with the interpretation that he would not have considered himself worthy enough to die the same way as his Saviour.[47]
"Quo vadis, Domine?" (1602) by Annibale Carracci
The mention in the New Testament of the death of Peter says that Jesus indicated its form by saying: "You will stretch out your hands, and someone else will dress you and lead you where you do not want to go."[48] Early church tradition (as indicated below) says Peter probably died by crucifixion (with arms outstretched) at the time of the Great Fire of Rome of the year 64. Margherita Guarducci, who led the research leading to the rediscovery of Peter's reputed tomb in its last stages (1963–1968), concludes Peter died on 13 October AD 64 during the festivities on the occasion of the "dies imperii" of Emperor Nero. This took place three months after the disastrous fire that destroyed Rome for which the emperor (Nero) wished to blame the Christians. This "dies imperii" (regnal day anniversary) was an important one, exactly ten years after Nero ascended to the throne, and it was 'as usual' accompanied by much bloodshed. Traditionally, Roman authorities sentenced him to death by crucifixion. According to the apocryphal Acts of Peter, he was crucified head down. Tradition also locates his burial place where the Basilica of Saint Peter was later built, directly beneath the Basilica's high altar.
You are referencing 1 Cor 1:12. This is a letter addressed by Paul to the Corinthians.
Peter was the one who generally spoke for the apostles (Matt. 18:21, Mark 8:29, Luke 12:41, John 6:68-69), and he figured in many of the most dramatic scenes (Matt. 14:28-32, Matt. 17:24-27, Mark 10:23-28). On Pentecost it was Peter who first preached to the crowds (Acts 2:14-40), and he worked the first healing in the Church age (Acts 3:6-7). It is Peters faith that will strengthen his brethren (Luke 22:32) and Peter is given Christs flock to shepherd (John 21:17). An angel was sent to announce the resurrection to Peter (Mark 16:7), and the risen Christ first appeared to Peter (Luke 24:34). He headed the meeting that elected Matthias to replace Judas (Acts 1:13-26), and he received the first converts (Acts 2:41). He inflicted the first punishment (Acts 5:1-11), and excommunicated the first heretic (Acts 8:18-23). He led the first council in Jerusalem (Acts 15), and announced the first dogmatic decision (Acts 15:7-11). It was to Peter that the revelation came that Gentiles were to be baptized and accepted as Christians (Acts 10:46-48).
And Paul nor anyone else mentions Peter in Rome...And supposedly he was the head of the Roman Catholic church...
Admittedly, the Bible nowhere explicitly says Peter was in Rome; but, on the other hand, it doesnt say he wasnt. Just as the New Testament never says, Peter then went to Rome, it never says, Peter did not go to Rome. In fact, very little is said about where he, or any of the apostles other than Paul, went in the years after the Ascension. For the most part, we have to rely on books other than the New Testament for information about what happened to the apostles, Peter included, in later years.
There is sufficient historical and scientific evidence that no one willing to look at the facts objectively can doubt that Peter was in Rome. To deny that fact is to let prejudice override reason.