The seven-times champions were brutally efficient in demonstrating how to win a game without the ball as the Chiefs dominated territory, possession and split the defensive line on numerous occasions but were unable to finish.
The Crusaders, who have not won the title since 2008, now face the winner of the later semi-final in Johannesburg between the Lions and reigning champion Wellington Hurricanes.
Having slipped up in their last match of the regular season against the Hurricanes, the Crusaders will be relying on their compatriots to beat the Lions and give them a home final.
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(Reporting by Greg Stutchbury; Editing by Nick Mulvenney)
