As said, you don't need to empty the cylinder.
Remove silencer/muzzle end. Unscrew the six allen bolts that hold the breech block onto the action. Very carefully, slide the breech block/barrel assembly backwards to clear the fig 8 clamp. Don't lose the thin transfer port O ring between the breech block and the action. Unscrew the big allen bolt in the back block, remove the hammer assembly, ie hammer, spring, spacer, (if fitted,) and end washer. Degrease the hammer and hammer rod. (Don't let any solvent get into the firing valve.) Remove any scratches on the hammer rod with 600ish wet and dry. Polish the hammer rod and hammer bushes with AutoSol, degrease again. Reassemble dry, or with the finest smear of thin sewing macine oil. Refit the barrel and breech block, I use a smear of silicone grease on the TP O ring to hold it in place, as it's easy to displace it. Replace the six bolts, and it's job done!

Gus