theologise vs mull over

theologise and mull over both are verbs.

Word	Noun	Adjective	Verb	Adverb
theologise	No	No	Yes	No
mull over	No	No	Yes	No

As verbs, mull over is a hypernym of theologise; that is, mull over is a word with a broader meaning than theologise:

theologise: make theoretical speculations about theology or discuss theological subjects
mull over: reflect deeply on a subject

Other hypernyms of theologise include chew over, contemplate, excogitate, meditate, mull, muse, ponder, reflect, ruminate, speculate, think over.

theologise (verb)	mull over (verb)
make theoretical speculations about theology or discuss theological subjects	reflect deeply on a subject
treat from a theological viewpoint or render theological in character