Hosts New Zealand through to semi-finals
NZ's Guptill made highest World Cup score
Scored 237 from 163 balls (24 fours, 11 sixes)
Boult took 4-44 as WI collapsed in Wellington
Record number of WC sixes - 31 in match
NZ face South Africa in Tuesday's semi-final
Andrew Samson
BBC Test Match Special statistician
"Today's 31 sixes was the highest total in a World Cup game. It's the second equal highest in a one-day international (along with NZ's 31 against India in Christchurch in 2009).
"The highest figure was 38 by India and Australia in Bangalore in 2013."
Man of the match Martin Guptill, who scored a record-breaking 237: "We had a couple of good partnerships early to set us up to explode at the end. We were trying to take each ball as it comes and rotate the strike. We did that well and it worked out.
"After I got 100 I thought I should hit some boundaries. Grant [Elliott] played a great little innings, as did Luke Ronchi. It was the quickest outfield I have played on here and you got value for shots.
"It was an incredible crowd. We will let this one sink in tonight and focus on the semi-finals tomorrow. It hasn't really sunk in yet. We have work to do so I can't focus on it too much."
Andrew Samson
BBC Test Match Special statistician
"Today's 143-run victory by West Indies was the largest winning margin in World Cup knockout matches (in terms of runs), beating Australia's 125-run victory over India in the 2003 final in Johannesburg."
New Zealand seamer Trent Boult (who took 4-44) on TMS: "Obviously a great performance set up by a fabulous innings from Martin Guptill. It was nice to go out and bowl well as a unit in a pretty difficult situation, they were coming out there to give it everything. Martin was hitting it clean every ball, it's something that a lot of us will be proud to look back on. I'd probably rank it the top innings I've ever seen. It's on to Auckland now and hopefully we can make some more good memories."
You don't need me to tell you that Martin Guptill has been named as man of the match for his unbeaten 237 from 163 balls. But I just have done.
Image source, Getty ImagesWest Indies 250 all out in 30.3 overs
Fall of wickets: 4-1 (Charles 3), 27-2 (Simmons 12), 80-3 (Samuels 27), 80-4 (Ramdin 0), 120-5 (Gayle 61 - 8 sixes), 166-6 (Sammy 27), 173-7 (Carter 32), 201-8 (Russell 20), 221-9 (Taylor 11), 250-10 (Holder 42)
Not out batsman: Benn 9
Bowling figures: Southee 8-1-82-2, Boult 10-3-44-4, Vettori 6.3-0-58-2, Milne 4-0-42-1, Anderson 2-0-24-1
New Zealand 393-6: Guptill 237 not out from 163 balls (11 sixes and 24 fours)
Listen to TMS commentary via the audio icon.
So, we know the full World Cup semi-final line-up now.
New Zealand stay on home soil and move to Auckland where they will face South Africa on Tuesday at 01:00 GMT.
Meanwhile, old rivals Australia and India lock horns in Sydney on Thursday at 03:30 GMT.
Bryan Waddle on TMS has noticed Chris Gayle throwing a lot of hic cricket gear into the crowd. The act of a man about to retire from internationals?
Graeme Swann
Ex-England spinner on BBC Test Match Special
"The whole of the Kiwi performance was excellent. Even Brendon McCullum, who missed out, played his part with his dynamic brand of captaincy."
Listen to TMS commentary via the audio icon.
A nice touch from the Black Caps, as while fireworks are let off around the "Cake Tin", the New Zealand fielders hang back on the 30-yard circle to allow Martin Guptill, today's hero with an unbeaten 237, to lead them off.
Graeme Swann
Ex-England spinner on BBC Test Match Special
"It's fitting that it should be Dan Vettori should take the final wicket after his catch earlier. In the field, New Zealand were electric. West Indies made a valiant effort to keep up with the run rate, but you don't chase 390 very easily."
NEW ZEALAND BEAT WEST INDIES BY 143 RUNS TO REACH WORLD CUP SEMI-FINALS
Image source, Getty ImagesHolder holes out, hoisting Vettori into the grateful hands of long-off - and New Zealand are into their seventh World Cup semi-final.
Perhaps sensing the inevitable, West Indies had even taken the batting powerplay, prompting McCullum to recall Vettori to the attack.
Image source, Getty ImagesWest Indies 250-9 from 30 overs (target 394)
Batsmen: Holder 42 from 23 balls, Benn 9 from four
Fall of wickets: 4-1 (Charles 3), 27-2 (Simmons 12), 80-3 (Samuels 27), 80-4 (Ramdin 0), 120-5 (Gayle 61 - 8 sixes), 166-6 (Sammy 27), 173-7 (Carter 32), 201-8 (Russell 20), 221-9 (Taylor 11)
Bowling figures: Southee 8-0-82-2, Boult 10-3-44-4, Vettori 6-0-58-1, Milne 4-0-42-1, Anderson 2-0-24-1
New Zealand 393-6: Guptill 237 not out from 163 balls (11 sixes and 24 fours)
Listen to TMS commentary via the audio icon.
Holder could be on for a half-century here, the 23-year-old skipper whacking another four through mid-wicket before chipping one towards cow corner where it doesn't quite carry to the bear-like Corey Anderson sliding forward from the boundary. It would have been a spectacular catch, and we've seen a couple of those today...
Benn has a couple of big slogs and nearly chops onto his stumps with the first, before bashing a four over mid-on. He looks as though he's enjoying himself. 250 up - were West Indies only a couple of wickets down, they'd be bang on course.
Graeme Swann
Ex-England spinner on BBC Test Match Special
"We've seen some incredible shots today from some incredible players, but no-one has hit the ball harder than Jason Holder."
Listen to TMS commentary via the audio icon.
New Zealand turn back to the pace of Adam Milne to finish the job. A single from Holder brings last man Sulieman Benn on strike. But barring a career-defining masterclass from Big Benn, the bell will soon be tolling for West Indies.
A cross-batted swipe gets him off the mark with a single, while the similarly lanky Holder helps himself to three successive boundaries, clubbing Milne all around the park. A single takes the Windies skipper to 37 from 20 balls - he's clearly no mug with bat in hand. With the Test series in the Caribbean coming soon, England beware...
Graeme Swann
Ex-England spinner on BBC Test Match Special
"The last rites are about to be read. Sulieman Benn isn't known for trying to occupy the crease at the best of times."
It only needs a quick look, and Taylor is sent on his way. The lucky catcher? None other than Martin "237 not out" Guptill.
If you're only just joining us, it's been like the other quarter-finals - entertaining, but not a very close contest as things stand. You can read all about Guptill's heroic unbeaten 237 on the BBC Sport website - while we've also had a characteristic Chris Gayle cameo at an even higher strike rate. But this game is not long for this world.
Image source, Getty ImagesTaylor can't get Southee away for five dot balls, then New Zealand appeal for a catch at short mid-wicket. Taylor stands his ground, implying it was a bump ball. The umpires aren't sure, and send it upstairs...