I do not understand what you mean by -- "minimal and/or maximal domain independent intelligence",. Please explain a little and then I may possibly have an opinion!
The question is too general, what is the theme and application? I know some details about "domain independent planning" , for example, you can check this paper:
I agree with the other colleagues, this question is not concrete enough, therefore difficult to answer. My research group is working on procedural abduction as a reasoning mechanism for self-aware and self-adaptive cyber-physical systems, This is intended to be a kind of 'domain independent intelligence', but I do not know the criteria or the measures to enumerate or qualify the 'minimality' or 'maximality' of its domain independence. It makes itself aware and fitting to the application domain or case.