It needed a thrilling maiden 34-ball fifty from spinner Paul Harris, with five sixes, to take them to 239.
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But off the very the next ball, the spinner struck with Riki Wessels snaffling a bat-pad catch at close quarters.
The onslaught prompted a rethink from Strauss, who threw the ball to off-spinner Tredwell to join Swann in the attack.
Two balls later, Haddin prodded the ball back to the spinner and a frustrated Benn shaped to shy at the stumps, causing the batsman to flinch.
Finally he was out, stumped off the spinner Martyn Ball, the first slogged shot he had attempted and with only six overs to go he was entitled to it.
Following the decision to refer Michael Beer's "dismissal" of Cook that proved to be a no-ball and denied the spinner a maiden Test wicket, Johnson revealed that the front line of the popping crease is not of paramount concern during practice.
The pair were eventually separated in highly controversial fashion after Pietersen attempted to square cut a ball from left-arm spinner Benn which bounced more than he expected.
The introduction of Batty midway through the session worked instantly, the off-spinner striking third-ball when Alok Kapali suffered a judgement haemorrhage and was bowled offering no shot.
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Stevens completed his century from 147 deliveries but departed next ball when he swung at leg spinner Danish Kaneria and skied a simple catch to Tim Phillips in the gully.
He ripped a full-pitched delivery past Harbhajan's bat to bowl the spinner off the second ball of the over and then fired in a series of spearing yorkers to ensure Australia escaped with a victory that puts them 1-0 up in the seven-match series.
Yuvraj fell to the fourth ball after lunch when he was stumped attempting to drive spinner Ollie Rayner, who then struck again when Mahendra Dhoni was trapped in front trying to work the ball to leg.
Perhaps unduly excited by Krejza's success, Dhoni asked Harbhajan to bowl the second over - but India's premier off-spinner could not make the ball "talk" in the way Krejza had, albeit with an older ball.
Australia took two more wickets but with dark clouds gathering and causing the light to deteriorate rapidly Ponting turned to leg-spinner Smith, whose second ball was smashed for six by Umar Akmal as Pakistan continued their domination.
Bosman smashed a huge six over square-leg but succumbed to spinner Andul Razzak's second ball, top-edging to mid-off.
Kallis offered one chance on 37 when he attempted to cut leg-spinner Stuart MacGill and edged the ball just beyond the reach of a diving Shane Warne.
Katich - whose innings of 34 came from 140 balls - drove one delivery confidently over mid-off for four but was sucked into pushing at a top-spinner outside off-stump next ball.
But the part-time off spinner, Marcus North, made the ball turn and bounce.
Gary Wilson battled to 19 but played for an off-spinner from Harbhajan Singh when instead the ball held its line and uprooted the off pole.
Irfan Pathan struck a huge six off spinner Brad Hogg in his 63-ball 26, while Tendulkar played some majestic drives to collect nine fours.
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Accusations of chucking have dogged Murali's career, particularly regarding his doosra, a ball delivered with something close to an off-spinner's action but turning in the opposite direction, from leg to off.
Shah, a very occasional off-spinner, was then given a chance with the ball, and after sending down two of the wildest deliveries ever seen in an international, the hunch paid off as Rahul Dravid tried to turn another wayward one down the leg-side only to get a leading edge.
Boundaries became scarce and, shortly after Shakib top-edged Ojha's first ball into the gloves of Dhoni, Siddique slog-swept the spinner to Harbhajan Singh at deep mid-wicket.
Johnston crashed Haq out of the ground for another maximum but the spinner had his revenge when he bowled him for 32 next ball.
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He shared a sixth-wicket stand of 88 with Hani Dhillon, who marked his debut with 69, but 5-78 by spinner Nasir Javed enabled the USA to retain some control with the ball.
Tom Cooper provided the only resistance with an unbeaten 55 off 72 balls, while Dutch spinner Sielaar (3-45) had some joy with the ball amid the mayhem caused by the West Indies bladesmen.
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There was a hiccup when, following his introduction into the attack, Monty Panesar's third ball trapped Mitchell lbw on the back pad, giving the left-arm spinner his 50th Championship wicket in his first season with Sussex.
But Croft produced a stirring response, smashing five boundaries and two sixes from his 66-ball innings, ably assisted by Francois du Plessis (31), while England spinner Samit Patel finished with 3-34.
By the fifth over there was a deep point in place and spinner Swann was brought on after half an hour, but his second ball was slashed to the boundary and another four brought up the Bangladesh 50.
But it was the gentle medium pace of Paul Collingwood that accounted for Ryan Carters, Alex Keath and Matthew Wade, while spinner Monty Panesar weighed in with two wickets and even skipper Strauss enjoyed success with the ball as he trapped Michael Hill leg before wicket.
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