You have two possible problems.
1. The brass was fired in another rifle that may have a had a slightly larger diameter and a longer headspace setting. So remember even after full length resizing the brass will try and spring back to its fired size after sizing.
2. Do as stated above and screw the die down further until the press cams over and see if these resized cases fit in your chamber "without" any closing force with the bolt.
3. If the cases still require "any" bolt force to close then try counting to 3 or 4 seconds with the ram at the top of its stroke. This will let the brass know who is the boss and the case will spring back less after being removed from the die.
4. If these steps fail try another shell holder.
5. If this doesn't change anything then lap the top of the shell holder on a piece of glass with fine wet and dry sand paper. Wet the top of the glass so the sand paper sticks to the glass and apply some oil to the top of the sand paper. Adding the oil allows the the piece being lapped to float on a thin film of oil and keep things even. Try to remove no more than .002 from the top of the shell holder and resize more cases. By lapping the top of the shell holder you are raising the deck height of the shell holder and pushing the case further into the die.
We live in a plus and minus manufacturing world and you may have a long die and a tall shell holder, meaning a die and shell holder on the "plus" side of tolerances.
The BIG problem you are having is sizing brass fired in another rifle, so remember the die and shell holder may be OK and you might be dealing with just brass spring back. When I buy once fired brass for my AR15 rifles, I use a small base die and count to 4 before lowering the ram. If the brass was fired in a machine gun with a even larger diameter chamber and longer headspace settings I may have to size the cases several times before forcing the brass back to minimum dimensions.
You also may need a good case gauge to measure the fired case before and after sizing.
Below a .223/5.56 fired case before resizing, and why the Hornady gauge is better than a Wilson type case gauge. A fired case will "fit" inside the Hornady gauge and may not drop all the way in the Wilson type gauge.
And the same case after sizing and .003 shorter.
Now study the drawing below and the blue, red and green dotted lines, and note when you full length resize a case it is possible to the actually make the case "LONGER" than its fired length. And you want your cases a few thousandths shorter or below the red dotted line.