> So, it seems that upgrading from 5.5-STABLE to -current completely
> messed-up package dependencies.

http://www.openbsd.org/faq/current.html

"You should ALWAYS use a snapshot as the starting point for running -current. 
Upgrading by compiling your own source code is not supported."

> I certainly make something terribly wrong... but what? And is there
> any way to recover the situation? Where should I start the debugging?

Backup your data. Install a Snapshot. Try again.

http://www.openbsd.org/faq/faq5.html#Flavors

P.S. Why do you want to run current?

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