When addressing a female university professor, is the title Univ.-Prof. Dr. phil. XYZ used in academic circles?
Is it the same as Frau Prof. Dr. XYZ?
When verbally addressing any academic, usually only the highest title in its basic form is mentioned
Frau Professor Müller, wann findet die Prüfung denn nun statt?
except for when the receiver is known to make a point of all his titles or even insists on them, or when covert mockery is called for, irony intended, or to suck up to the receipient -- all based on context and additional cues
Vielen Dank für ihren warmen Worte, Herr Professor Doktor Doktor Schneider.
This quickly gets ridiculous, of course, but only the basic form of each title is ever used in all these cases.
There used to be a german TV series about a public office setting, in which, if I recall correctly, the main character always had to address his boss with all his titles. This was used to portray said boss as slightly arrogant.
If the context is clear or the setting less formal, either the name or the title may be dropped from the regular address.
Eine Frage, Frau Professor!
Hallo Frau Müller, lassen Sie es sich schmecken.
What's basically never done when addressing a professor verbally is to mention all those specifics, like what kind of professor he is, or the field in which he received his titles.
Verbally mentioning these details can be used to slight the receipient, mock him or emphasize that eg. he's only a Junior-Professor, or only has a Doctorate in e.g. the Fine Arts, while e.g. an M.D. might currently be perceived as needed to reach an informed decision or something like that.
So, given all that, Frau Prof. Dr. XYZ is indeed equal to and a valid address for a female Univ.-Prof. Dr. phil. XYZ.
In writing, mentioning all those specifics can be done in mailing addresses, as a symbol of reverence, on business cards, to make the status of the person instantly clear to every receipient of such a card, and of course on resumés, teacher profiles etc.pp.
In advertising himself (resumé, business, etc.), someone might also be required to specify where he got his titles.
Dipl.-Ing. (FH) Bernd Meier - der beste Mann, für diesen Job!
This would signify that Mr Meier got his degree from a Fachhochschule, while by dropping the (FH), one would generally assume, he got it from a university. What's important is what's written on his diploma.
Mentioning where he got his degree most importantly applies to degrees received in other countries.
In Germany, there are multiple Prof titles, depending how you got it. Those are:
Translations are ad hoc and not necessarily the correct ones.
The appendix after the Dr. means in which research area the title was granted. phil. means philosophiae and indicates philosophy but could also be any other part of the humanities as area of study. For a complete list please look at German Wikipedia about doctoral titles
Depending on your research field you can also have different appendixes in the same field, e.g. I study software engineering and I could become a Dr. rer. nat or a Dr.-Ing. or a Dr. phil.