...
If the Core Catcher material is difficult to manually push out from the core catcher, use the Arbor Press (see Figure 4 and Figure 5). There is a jig that can be used to assist with the pushing either APC and one for XCB ((Figure 6). Lubricate the moving parts of the arbor press with Lubriplate, or a mixture of Lubriplate and Marvel Mystery Oil.
NOTE: Do not let the square rod penetrate to far into the shoes. The teeth of the shaft get stuck inside the shoe. If it gets stuck, try the wider spatulas. If all else fails you can remove the gear box cover.
There are two sides to the toothed, square rod that moves through the press. One has a longer end portion without teeth. Does your bit not fit? The end with the longer portion without teeth, must be on top. This sometimes gets flipped when opening the press for servicing. You should be able to retract the rod all the way into the press' gearbox.
...
Figure 7: Toothed Square Rod, Proper Configuration
XCB Core Catcher 
Use a strap wrench to remove the XCB cutting shoe. Take the cutting shoe to the press and place it top side down in the APC jig on the press. Press out the material (this may be hard, it gets baked in sometimes).
Try to remove the sleeve from inside of the sub by banging the corner of the sub on the table (notice the dents in the table). The sleeve should come out. Note that the flange on the sleeve is the top of core.
Place the top flange of the sleeve in the APC jig and press the core material out.
If the press is unavailable the old XCB sleeve tool needs to be used to get the inner rings out of the sleeve. Note that the sleeve must be turned around on the chain vice to get the lip of the flange to catch the vice and be stable.
The core can now be pushed or pressed out of the inner rings. Maintain orientation at all times, always push or press from the bottom. Assemble the core catcher in the liner as described above.
Credits
The original document was created by the shipboard technical party.
...