Tasmania earned six points, including two points from a first innings win, as their bowlers cleaned up South Australia's second innings in less than a session on Wednesday.
South Australia scored a paltry 112 in their first innings, their lowest ever against Tasmania, in reply to the visiting state's 207 on the opening day.
The Tasmanians then made 334 in their second innings, to set South Australia the formidable task of scoring 430 runs for victory.
South Australia started the day at 110 for four but any hope of achieving their goal was soon shattered when catain Darren Lehmann was out for 10 on the first delivery of the day - popping a simple catch to gully off paceman Damien Wright.
Man of the Match Gerard Denton picked up Graham Manou for nine in the following over then, in the fifth over of the day, Wright dismissed John Davison for four to make it 126 for seven.
South Australian all-rounders Mick Miller with 53 not out and Mark Cleary with 38 fought a rearguard action with 65-runs off 99 balls for the eighth-wicket but could not stave off the inevitable.
Left-arm paceman Andrew Downton bowled Cleary to snuff out the South Australian resistance and clear the path for the win.
Denton finished with 3-22 and Wright 5-43.
Tasmania well placed against South Australia