This was both sides' opening match in Group A of a tournament featuring the world's top eight ODI teams.
Australia face New Zealand at Edgbaston but won't make a decision on the make-up of their team until just before the game.
The Australians can consider themselves fortunate as they were behind the run rate and lost explosive openers David Warner (18) and Aaron Finch (8), as well as Moises Henriques (18).
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Williamson led the Kiwi charge with a solid innings of 100 runs before being run out. The mood of the bowler, Cummins, was not helped when the next two deliveries disappeared for four and six.
Hazlewood took three wickets in four balls to wrap up the innings with an over to spare.
Luke Ronchi and Kane Williamson starred.
James Pattinson also missed out with Adam Zampa providing 12th man duties.
The players were off the field for almost two hours and when they returned, Ronchi carried on in a 15th over, bowled by Cummins, that yielded 15 runs.
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The eye orbits of a crushed human skull more than 300,000 years old are visible just beyond his fingertip. They used fire and their tools were made of flint from about 25 miles away.
But Ronchi scrambled into the crease after after Matthew Wade made a awful hash of gathering Mitchell Starc's throw towards the stumps.
With Luke Ronchi, once an Australia player, thrashing a brisk half-century, New Zealand raced to 117 for one in the 16th over. A slog-sweep for six off Travis Head followed, and later two shots off successive balls from Hastings that perfectly summed up his abilities: a delicate slice over point and a proper heave over deep mid-wicket.
Alongside Ross Taylor, he put on 99 for the third wicket before his experienced team-mate fell for 46 when he holed out to mid-off against Hastings.
Josh Hazlewood was the pick of the Australian bowlers, finishing with 6-52, but Smith was unhappy with what was sent down for the first 40 overs as Kane Williamson scored a fine century before his run out for 100 sparked a stunning late collapse.
His second fifty came off just 34 balls.
The right-hander was dismissed off the very next ball he faced when he was run out thanks to an accurate throw by Cummins.
With a minimum of 20 overs needing to be bowled to the side batting second, both captains expressed their frustration that the game could not be concluded though Steve Smith, Australia's captain, sounded the more relieved.
Having fully recovered from a foot injury, the widely- respected Starc will be the leader of the attack, and his ability to swing the new ball and get the old ball to reverse will be a huge asset for the 2006 and 2009 winners.
His fellwo pacer Trent Boult had struck the first blow for New Zealand, picking up the wicket of the unsafe David Warner in the sixth over.
"We still had a lot of work to do and they've got a quality bowling attack as well".
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