During the course of its installation TurboTax d/l'ed a series of updates, and as I perused the list of issues they corrected
"Why is my rejected return being counted as one of my 5 e-files?" caught my eye.
Unless I'm totally misunderstanding this
If you have already attempted to re-transmit your rejected returns and are seeing this message about exceeding your 5 e-file limit, you will need to print the return and file by mail or use a different computer to complete the e-file process.
and this
[....] If you are in this situation, you would also need to either print and mail the return or install TurboTax on a different computer to finish the e-file process.
Intuit has been backed into advocating piracy of its own software. (Emphasis added in both quotes)
I doubt that they're terribly happy about having had to post that (and I wonder what other possibilities they've now alerted users to).