At Edgbaston, Durham won the toss and took three wickets in the opening 17 balls of the game to set up a comfortable victory.
Sam Hain was the only batsman to show for the Bears, making 45 in 28 balls, but New Zealand’s Jimmy Neesham took 3-34 as the hosts were bowled out for 143.
Graham Clark provided the ideal start to the chase with 40 from 23 deliveries, including five fours and a six, before Robinson took up the mantle, eventually out for 45 from 36.
His departure, and the wicket soon after of Kasey Aldridge, took some gloss off the victory margin, but it was still achieved with 17 balls in hand.