Updated links to the arguments
Part 1: http://www.dailymotion.com/video/x1kgg6y_batman-vs-captain-america-part-1-efn_tech
Part 2: http://www.dailymotion.com/video/x1kghst_batman-vs-captain-america-part-2-efn_tech
The conclusion
Part 3: http://www.dailymotion.com/video/x1kgijn_batman-vs-captain-america-part-3-the-winner-efn_tech