None. Jesus is the Rock of all believers.
If the following is an example of the *infallibility* of the magisterium or whatever committee they use in picking the next pope in their alleged apostolic succession, then I'll pass on Catholicism, thank you very much.
I wouldn't trust the judgment of any organization which couldn't do better than this.....
Top 10 Most Wicked Popes
http://listverse.com/2007/08/17/top-10-most-wicked-popes/
1. Liberius, reigned 352-66 [Catholic Encyclopaedia]
2. Honorius I, reigned 625-638 [Catholic Encyclopaedia]
3. Stephen VI, reigned 896-89 [Catholic Encyclopaedia]
4. John XII, reigned 955-964 [Catholic Encyclopaedia]
5. Benedict IX, reigned 1032-1048 [Catholic Encyclopaedia]
6. Boniface VIII, reigned 1294-1303 [Catholic Encyclopaedia]
7. Urban VI, reigned 1378-1389 [Catholic Encyclopaedia]
8. Alexander VI, reigned 1492-1503 [Catholic Encyclopaedia]
9. Leo X, reigned 1513-1521 [Catholic Encyclopaedia]
10. Clement VII, reigned 1523-1524 [Catholic Encyclopaedia]
Top 10 Worst Popes in History
http://www.toptenz.net/top-10-worst-popes-in-history.php
1. Pope Alexander VI (1431 1503)
2. Pope John XII (c. 937 964)
3. Pope Benedict IX (c. 1012 1065/85)
4. Pope Sergius III (? 911)
5. Pope Stephen VI (? 897)
6. Pope Julius III (1487 1555)
7. Pope Urban II (ca. 1035 1099)
8. Pope Clement VI (1291 1352)
9. Pope Leo X (1475 1521)
10. Pope Boniface VIII (c. 1235 1303)