Electing to bat, Warriors rode on a strokeful 65-ball 88 by Smuts to post a challenging 171 for five before their bowlers came up a disciplined show to restrict South Australia to 121 for six at Rajiv Gandhi International Cricket Stadium.
Warriors` had beaten Royal Challengers Bangalore by three wickets on September 23 in their opening Group B match.
South Australia struggled from the very beginning in their run chase of 172 as they were down 35 for three inside six overs and they never recovered from there with wickets falling at regular intervals.
Fast bowler Lonwabo Tsotsobe snapped two wickets for 30 runs while Smuts, Rusty Theron, Johan Botha and Wayne Parnell took a wicket apiece.
Tsotsobe snapped a wicket each in his first two overs -- that of opener Daniel Harris (4) and Tom Cooper (3) -- to send South Australia at the backfoot early on.
Harris nicked a Tsotsobe angled delivery to wicketkeeper Mark Boucher while Cooper was caught and bowled while trying for a pull to leave South Australia at 18 for two in the third over.
Callum Ferguson (7) did not last long as he was foxed by a Theron slow delivery and the batsman spooned the ball to Ingram while going for a drive.
Opener Michael Klinger (34), however, clung on and he punished Warriors bowlers with some delightful shots, including a six off Nicky Boje.