Hi Chandra
Looking at the screen shot i understand the reason. Actually the workflow is sending the workitems to SAP userid as it is classified as general task but no approver is found. The moment you execute one it gets reserved under you name. So the two tasks which you have found with your name are those and if you look at the READY status task it does not have any approver(since it is in everyone inbox) it does not allow you to process it. Simple solution is to correct the workflow agent determination logic
Just to add i was successfully able to implement this approval stuff without the need of making my workitems from Ready to In process because of the reason mentioned above.
Thanks
Nabheet