I will not ask why removal of the screws didn't occur to you, Squid. I think everyone on the forum, myself included, has had a mindless moment or two (you should see what I did trying to split my DT1 cases - ouch), but yes, I removed the screws.
The stuff oozing out from the seams is rubbery. I don't know if the material pressed between the parts retains this flexibility. Considering the mechanical aptitude this PO has demonstrated so far, I wouldn't be surprised if it did dissolve in gas.
I have a separator. Maybe if I do one bowl against another I can get them to give. That, plus heat - and maybe some mystical chanting - might work. I'll give it a try.