How to craft a search for "father of" without a proper name

If you want phrases with "father of" except for those two, try

"father of" NOT INTERSECTS ("father of Aram" OR "father of Ahaz")

If you want to exclude Bible verses with those values, use:

"father of" NOT ("father of Aram" OR "father of Ahaz")   --->  this will exclude Mt 1.9

That would only exclude those two particular examples. He wants to exclude all places where it lists "father of" some person's name. He just gave two examples to show what he was talking about, but not meaning the list to be exhaustive.

I don't know of a way to do this short of doing a visual scan of all the results of "father of" to find the ones that meet your criteria. There will be way fewer of those than there are "father of" + proper name. There are also edge cases like "father of the house of Rekab" (1 Chron 2:55) -- you'd probably want to exclude that even though the proper name comes after another noun and a preposition. Then there is "father of more sons and daughters" (1 Chron 14:3) which is still talking about being a literal father of people even though their names are not mentioned. Then, Prov 23:24 uses "father of a righteous child" -- though it is generic, not talking about a specific person, it still uses father in the literal meaning.

All the other references to "father of" in the OT are followed by proper names, so I think you can restrict your search to the NT and have fewer cases to visually scan through. In fact, you can also omit Matthew (genealogy of Jesus) and Mark, leaving just 19 results in 16 verses. Many of those are Father of our Lord Jesus Christ, so you'll be down to the few that matter to you in no time!

Is there a way to craft a search that would return phrases like "father of lights" and "father of lies" but not "father of Aram" or "father of Ahaz"?

"father of" NOT BEFORE 1 WORD (morph.h:NP OR louwNida:93.1-388)

Brilliant!

Thank you. But I understand that only in part. What does "moprh.h:NP" stand for?

I'm not an expert but this is my understanding and hopefully someone will correct me if I have it wrong.

morph = a morphological search is to be performed

h = the search is to be done based on Hebrew morphological codes

N = noun

P = proper noun

Many thanks. Now the genius of this solution is really clear to me. Wonderful. Thanks for the help.