I am not able to recoganised safari browser objects with QTP 9.2, but i have experienced working with firefox, ie 6 and 7 with QTP 9.2. is the higher version supports all the browsers?
Check "QuickTest Professional 9.2 Readme" document where you can see answers....
i have never seen bugs sleeping
QTP does not support Safari browser...Not even QTP 10 which is the latest version of QTP
And I doubt any of the future version will support Safari. Safari is mostly used on Mac and not Windows. So no point supporting something which does not have a huge value add
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And if you are using Safari on Windows, try Selenium it works fine on safari.