If Christianity is true, then Catholics are right

I drop my 2nd claim from round 1 and concede to Con's argument 3 from round 1; all Catholics do not believe the same doctrines. However, all Catholics are compelled to believe in the same dogmas. Now I will support my first claim. Catholicism can be traced back to Jesus better than other Christian religions can. The authoritative hierarchy which Jesus founded is the Catholic Church, and it's origins are in the Bible. In John 15:1-20, Jesus appoints a few, select men to carry out his divine mission: [Jesus talking to his apostles]"I am the vine; you are the branches. If you remain in me and I in you, you will bear much fruit; apart from me you can do nothing""You did not choose me, but I chose you and appointed you so that you might go and bear fruit—fruit that will last—and so that whatever you ask in my name the Father will give you. " In Matthew 16:18, Jesus singles out Peter from among the others and gives him unique authority. He tells Peter that he will build his church on him, then proceeds to give him the "keys to the kingdom of heaven"; whatever Peter binds on earth is bound in heaven, and whatever Peter makes loose on earth is loose in heaven. According to the original translation, and as evidenced by the footnotes in the NIV Bible, Jesus actually told Peter that whatever he teaches has already been decreed true by God, meaning Peter is given the authority to speak on God's behalf. This makes him infallible, at least when teaching on religious matters. This is where the concept of papal infallibility comes from in the Catholic Church. The role that Jesus gave to his apostles included the authority to teach and baptize, as evidenced in Matthew 28:19-20:"Go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. "On top of the power to baptize, he also gave them the power to forgive sins in John 20:23:"If you forgive anyone’s sins, their sins are forgiven; if you do not forgive them, they are not forgiven. "In Luke 10:16, Jesus gives legislative power to about 70 more disciples:“Whoever listens to you listens to me; whoever rejects you rejects me; but whoever rejects me rejects him who sent me. ”The apostles (the early Church) used their divinely provided authority to expand the Church since the early beginning, as demonstrated in Acts 2. The hierarchy of the Church was again made clear in 1 Corinthians 3:1-10. The Catholic Church is the only church whose origins can be traced back to Jesus and Peter, and the only one with reasonable claim of the infallibility that Jesus gave to Peter. The tradition of apostolic succession started with Acts 1:21-26, when Judas was replaced after his suicide. Letters of early Christians support the genuine origin of the Catholic church, and other Christian religions don't have similar historical support for their own religions. These writers make it clear that there can only be one true church. In 253 A. D. , Cyprian of Carthage said: "[Peter speaks], teaching in the name of the Church and showing that even if a stubborn and proud multitude withdraws because it does not wish to obey, yet the Church does not withdraw from Christ. The people joined to the priest and the flock clinging to their shepherd are the Church. You ought to know, then, that the bishop is in the Church and the Church in the bishop, and if someone is not with the bishop, he is not in the Church. They vainly flatter themselves who creep up, not having peace with the priests of God, believing that they are secretly in communion with certain individuals. For the Church, which is one and Catholic, is not split nor divided, but it is indeed united and joined by the cement of priests who adhere one to another [. .. ]"There is more historical evidence of the origins of the Catholic Church than that of other Christian religions. Also, as evidenced previously, any other Christian religion is not the true religion, and does not have the fullness of the truth. My opponent claims that "Roman Catholicism is a distortion of Christianity", but I believe the Cyprian quote shows that any other Christian religion besides Catholicism is a distortion of the true Church. My opponent also says that "Roman Catholicism, as it is presented today, is remarkably different from what Jesus taught and from the early church", but it is not different in anyway that would detract from it's legitimacy, which is greater than that of any other Christian religion. I await my opponent's rebuttals.