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|Duke of Carinthia|
|Spouse(s)||Judith of Bohemia|
|Father||Hezzelin of Zülpich|
In 1055 he had joined the rebellion of his Ezzonid cousin Duke Conrad I of Bavaria and Duke Welf of Carinthia against Emperor Henry III. Nevertheless, upon Henry's death in 1056, he was pardoned by his widow Agnes of Poitou and enfeoffed with the Carinthian duchy. Conrad, however, did not succeed in imposing his authority on the powerful native aristocracy. He died five years later, having possibly never entered Carinthia. He was succeeded by the Zähringen duke Berthold II.