Philip of Swabia still held his own, and the extravagance of the papal claim led to many of the bishops as well as the lay magnates of Germany joining in a declaration that no former pope had ever presumed to interfere in an imperial election. But the swords of his German followers were a stronger argument in favor of Philip's claims than the protests of his supporters against papal assumptions. As time went on, the Hohenstaufen slowly got the better of the Guelfs. With the falling away of the North, Otto's cause became distinctly the losing one. In 1206, Otto was defeated outside the walls of Cologne, and the great trading city was forced to transfer its obedience to his rival. In 1207 Philip became so strong that Innocent was constrained to reconsider his position, and suggested to Otto the propriety of renouncing his claims. But in June, 1208, Philip was treacherously murdered at Bamberg by his faithless vassal, Otto of Wittelsbach, to whom he had refused his daughter's hand. It was no political crime, but a deed of private vengeance. It secured, however, the position of Otto, for the ministeriales now transferred their allegiance to him, and there was no Hohenstaufen candidate ready to oppose him. Otto, moreover, did not scruple to undergo a fresh election which secured for him universal recognition in Germany. By marrying Beatrice, Philip of Swabia's daughter, he sought to unite the rival houses, while he conciliated Innocent by describing himself as King "by the grace of God and the Pope." Next year he crossed the Alps to Italy, and bound himself by oath, not only to allow the papacy the privileges that he had already granted, but to grant complete freedom of ecclesiastical elections, and to support the Pope in his struggle against heresy. In October, 1209, he was crowned Emperor at Rome. After ten years of waiting, Innocent, already master of Italy, had procured for his dependent both the German kingdom and the Roman Empire.