hate to break this to you but the CC is NOT infallible. Com'on. How can you believe that?
On the infallible words of Christ is how I believe that.
Christ came on earth to teach a true doctrine which would last for all time. "For this I was born and for this, I came into the world that I should give testimony to the truth." Being All wise, All foreseeing, and All powerful, He took the means to prevent His Church to which He committed the taks of continuing His teachings to all men of all ages until the end of the world from ever falling into error and therefore corrupting His doctrines. This would be utterly impossible unless the Church could speak infallibly in matters of faith and morals in every generation.
What does Scripture tell us?
Christ did found a Church as a teaching body and enabled it to carry on His infallible teachings until the end of the world. In order to accomplish and be successful to His command to teach all nations, He safeguarded her from error by endowing her with infallibility. He promised to be with her always and the gates of Hell would not prevail against her. These words of Christ would be utter nonsense to the point that He'd be a liar and the gates of Hell would have prevailed if it could happen that the Church could be wrong in that teaching which she gives so authoratitaviely, ex cathedra.
Scripture tells us "the Church is the pillar and ground of truth". Unless the Church were infallible this wouldn't be true. How could our Lord require us to believe under penalty of damnation St.Mark 16:18, and to consider the Christian disobedient to the Church "a heathen and a publican" St.Matt. 18:17 if she wasn't His infallible teaching authority?
Would a All-Good God who wills "all men to be saved" and "to come to the knowledge of truth" fail to provide His revelation with an infallible witness? Of course not. Would a All-just God command us to believe St.Mark 16:16, and at the same time leave us at the mercy of every false prophet and lying teacher preaching a Gospel opposed to His? Of course not.
The Church Christ founded is spoken of in the NT as a divine, infallible teaching authority. Throughout the Gospels the mission of the Apostles and their successors is declared identical with the mission of Christ. The CC alone represents Christ, the Divine infallible Teacher in morals, belief and worship.
"As the Father sends Me (to give infallible witness to the truth), I send you." "He that receiveth whomever I send, receiveth Me." "He who heareth you heareth Me and He that despiseth you, despitheth Me...."
Take a good look at the CC thru the centuries including one Pope murdering another and on and on it goes and tell us that the CC is infallible?
Don't make the mistake of confusing sinful members of the Church, including Popes. Papal infallibility doesn't mean that the pope can't make a mistake or commit a sin, or that he can teach without error on any thing that strikes his fancy or that he is inspired by God or able to make new revelation. It doesn't mean any of those.
It means that under certain, specific conditions the Pope when he defines ex cathedra, a teaching or doctrine in faith or morals, it must be believed by all the Church. The Scripture proof is St. Luke 22: 31-32. Christ here prays for St.Peter alone in his capacity as head of the Church. His prayer is certainly efficacious. Therefore, St.Peter and his successors, now the 265th one in Pope Benedict and on until the end of time, will be preserved from error when defining matters of faith and morals.