Windows 7 User Profile Service failed the logon

Hello and welcome to the forum.
Method 1 as described here has worked for me in the past to resolve the issue you are describing. Link Removed
It is not without some peril as editing the Windows Registry can sometimes result in unexpected consequences so be sure to read it carefully.
Normally I recommend using the hidden Administrator's account when making these changes.
Open a command prompt as administrator (right click cmd.exe and choose run as administrator) and type

net user administrator /active:yes

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hit enter
restart or log off and then on as that administrator
when you're done and everything is back to normal and you no longer need the hidden administrator's account, restart or log off and then back on with your account (which should be a member of the administrator's group, open another administrative command prompt and type

net user administrator /active:no

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Good luck and keep us posted.
Regards
Randy