SYDNEY: South Africa stormed into the World Cup semi-finals Wednesday with a nine-wicket rout of Sri Lanka which brought the curtain down on the ODI careers of Kumar Sangakkara and Mahela Jayawardene.

Off-spinner JP Duminy (3-29) took a hat-trick and leg-spinner Imran Tahir claimed 4-26 as South Africa, who had never before won a World Cup knockout match, set up a clash against either New Zealand or West Indies for a place in the March 29 final.

Chasing just 134 to win, the Proteas reached their target in the 18th over with opener Quinton de Kock making an undefeated 78.

Sangakkara, in his last one-day international appearance, top-scored for Sri Lanka with 45 as his record-breaking run of four successive ODI hundreds came to an end. Together with Lahiru Thirimanne (41) he put on 65 for the third wicket.

Fellow veteran Jayawardene, who now quits all international cricket, made only four before he became one of Tahir's victims as 1996 champions Sri Lanka lost their last six wickets for just 19 runs.

South Africa skipper AB de Villiers, who lost the toss, said he feels his team can now go on and win an elusive first World Cup.

“I'm quietly confident. I'm always a positive kind of guy — I always believe in big things,” he said.

Sri Lanka captain Angelo Mathews admitted his team suffered severe stagefright.

“A score of 130 was not much. There were no demons on this track. But we didn't bat well. Maybe it was nerves, we didn't go for our shots and it's easily our worst performance we have done in the World Cup and it happened to be in the quarter-final,” he said.

Duminy said he was shocked to have become the first South African to take a World Cup hat-trick.

“I've never got close to a hat-trick so I'm pretty pleased with that performance. It was mainly about keeping the runs down,” said Duminy, who dismissed Mathews and then, at the start of his next over, got rid of Kulasekara and Tharindu Kaushal lbw for a golden duck on his one-day debut.

After Kyle Abbott and Dale Steyn sent back openers Kusal Perera and Tillakaratne Dilshan, it was the turn of Pakistan-born spinner Tahir to strike, dismissing Thirimanne and Jayawardene.

Man-of-the-match Tahir also got rid of Thisara Perera (0) before wrapping up proceedings with the wicket of Lasith Malinga.

South Africa finally won their first World Cup knockout match at the sixth time of asking. Below is South Africa's record in knockout matches at cricket's showpiece tournament:

• 1992: Lost semi-final to England
• 1996: Lost quarter-final to West Indies
• 1999: Tied semi-final with Australia, exited World Cup on net run-rate
• 2007: Lost semi-final to Australia
• 2011: Lost quarter-final to New Zealand
• 2015: Won quarter-final against Sri Lanka

In 2003, co-hosts South Africa failed to get out of the first group stage after a rain-affected tie with Sri Lanka in Durban.