In  a small multi-objective MIP is solved with Z3. Here we try a larger problem, an engineering design problem. It has three objectives and 2029 non-dominated solutions. The solution in the F space (the objectives) looks like:
To make life easier for Z3, I converted the objectives to integer values. The good news is that Z3 finds the same number of solutions. The bad news: for this problem it is not very fast:
We see it is getting slower and slower:
The first 500 solutions are found in a rate of about a second per solution. Later on this becomes 10 seconds per solution.