Hales found little of the strike, though, and met a tame end with a pull to mid-wicket
The Australian then struck Rob Sayer over mid-wicket
for six but the miss was not too expensive because when he had sailed on to 28 from 24 balls he lofted the off-spinner to Ali at long-on.
Michael Hogan took his first victim when Mark Pettini edged to Rudolph at slip and 15 for two became 16 for three when Nick Browne chipped Wagg straight to Cooke at mid-wicket
He whipped Craig past mid-wicket
for a boundary while Hafeez hit another six off Craig to long off.
Allenby chanced his arm once too often, holing out to Denly at deep mid-wicket
in Paul Stirling's first over.
Former Derbyshire batsman Gary Ballance threatened to take the momentum away from the home side with 28 from 22 balls including a straight driven six off Wes Durston but after he skied Morkel to deep mid-wicket
in the 16th over, the rest of the innings fell away.
And Moore also affected the crucial run out of Australian legend Ricky Ponting from mid-wicket
as the hosts slumped to 198-7 in the 32nd over of their innings.
Warwickshire's run chase was interrupted by some brilliant fielding by South African David Miller, who held two catches including a superb running effort at deep mid-wicket
to account for William Porterfield, and was also involved in two runout s.
Tim Ambrose and Rikki Clarke were caught at mid-wicket
, Chris Woakes played round a straight one and Barker got in a tangle to a short ball and top-edged Alfonso Thomas to the wicketkeeper.
He reached his 50 from 83 balls with his ninth four, which was straight driven off Magoffin, and added a further boundary when he drove the same bowler through the covers before he miscued to Chris Nash at mid-wicket
or India, V V S Laxman batted resolutely for his half-century (56) before being caught at mid-wicket
of the bowling of James Anderson.
Guptill looked in good touch from the start as he dispatched the second and third balls of the innings from Graham Onions to the mid-wicket