Hi,
Depending on the cartridge unit fitted you may be able to knock the axle through from the drive side with hammer past the nylon cup.
This should leave you with just the cups.
Then if needed on the drive side (left hand thread) (if that's stuck too?) you can put a large right hand threaded bolt through from the non drive side, fix the bb tool in place on the rh cup and lock with the matching nut and washer from the bolt or just the bolt and washer.
Then through the non drive side hold the bolt head with a long socket.
Then start to tighten the nut on the drive side with ring spanner.
You may need extra leverage and lube! ..i.e pole, plus gas.
basically what happens is as you tighten the nut clockwise it will grip to the point it passes the opposing grip of the left hand thread/right hand cup.
This now leaves you with two sides to attack the offending nylon left hand bb cup. chop out carefully!
Hope that give you some ideas?
Zone