The pair scored at will at almost 10 runs an over against a dispirited England bowling attack to put on 85 for the first wicket.
"There's always motivation but our motivation is that we know what kind
of cricket we can play. We just wanted to play it," Smith said.
"We haven't really achieved that so far in this tournament and I think we achieved it today.
"We were superbly disciplined with the ball, we just kept coming, our
fielding was terrific and to bowl them out for 154 was a great effort. And
then we just finished it off with the bat."
The tactic of England to goad South African captain Graeme Smith looked an inspired move as he smashed 89 came off only 58 balls and South Africa reached their target 30.4 overs to spare.
England were booed from the field by thousands of supporters who had flown to Barbados for the match.
The fans should hardly have been surprised with the result though, this is a team whose only World Cup victories have come against Canada, Kenya, Ireland and Bangladesh.
England should get out of the Caribbean before someone revokes their Test match status.
"The performance today was pretty average. We've let quite a lot of
people down," said England captain Michael Vaughan, mastering understatement.
He now leads his team into a final game against a West Indies team who were also eliminated by the result.
"We know we have a big game on Saturday. We know we have to come out and improve our performance," Vaughan said.
No one had the heart to tell him, it wasn't a big game, as both teams campaigns ended with that game.
"We know we're out of the World Cup. We've a lot of pride and we realize there's a lot of supporters out here that we've let down and we need to make sure that on Saturday we turn up and put in a performance. We have to make sure we analyze what has gone wrong in the World Cup. We've had a poor winter in all aspects," he continued.
Sajid Mahmood was smashed for 28 from two overs before being taken off and Jimmy Anderson resorted to sledging De Villiers, who smiled and ignored him.
What could Anderson have possibly have said, "I'm home before you"?
South Africa joins Australia, New Zealand and Sri Lanka in the last four
and will probably face Australia in one semifinal in St. Lucia April 25.
New Zealand and Sri Lanka likely meet in Jamaica in the other the day before.
Such is the drawn out nature of the tournament, the Super 8’s continue for another week before the semi finals begin, with only pride or the final places in the top four to be worked out.
England won the toss and batted, but the wicket played little part in the
Shaun Pollock tied up the bowling at one end with a miserly spell of none for 17 from 10 overs. Andrew Strauss scored 46 and Paul Collingwood 30, but only two other batsmen reached double figures.
Proteas quick Hall finished with five for 18, his first five wicket haul in one-day internationals.
He ripped through England's middle order with four wickets in nine balls.
Vaughan, with just 113 runs from his eight previous innings, appeared to
lack any confidence and it took him an incredible 20 balls to get a run.
After six overs England had managed seven and Vaughan eventually made 17.
KP out for three
South African-raised Kevin Pietersen, the top one-day batsman in the world at the moment, came to the crease with the score on 37 for two and soon became Nel's second victim, playing an ugly attempted offside drive to a ball pitching on leg.
The result was a feeble chip to mid off caught by a diving Smith and
Pietersen departed for three with the score on 53 for three.
His ranking at the top of the tree must last only until the next review.
Strauss and Collingwood pulled the England innings together.
They took the score to 111 before Strauss cut hard at Kallis and was
caught in the gully by Smith only four runs short of his half century.
That started a rout in which five wickets fell for just 10 runs and England's hopes of setting a challenging target evaporated.
Smith and De Villiers led the way with some spectacular batting, Smith's
50 coming up in 34 balls.
After five overs South Africa was 44 for none. At the same stage, England had managed five runs.
The 100 came up off only 70 balls as Smith and Jacques Kallis (17 not out) showed no mercy on England and finished the match off quickly.