The fact that the cylinder moves at all means that the engine is turning the pump, the pump is operational, the coupler is intact and the control valve is working. So there can really only be one cause for no force and that is that something is preventing the buildup of high pressure. There are many good ideas on this thread already. It wouldn't be a filter because a restricted filter will affect the rate of flow but won't prevent a buildup of pressure.
A pump that is too large will stall the engine. So if your engine isn't dying or a belt slipping that isn't the problem.
The most inexpensive way to troubleshoot this difficulty will be to acquire a hydraulic guage. Get a gauge and an assortment of fittings that will allow you to place it at certain points in the system. You will want one that goes to about 3000 psi. These are readily available from places that sell splitter components, Northern Tool, probably Tractor Supply Company and a myriad of online sellers. First place I would put it is in the line that goes to the cylinder feed for the forward position (ie, the rear of the cylinder.) If you have pressure there when you move the control to the split position then the problem is your cylinder. If you don't have pressure there, put the gauge in the output line of your pump. If you don't have pressure there, then you have a bad pump. And so forth. For most of these checks you want to have the gauge at the end of the line and not teed into the line as any problem downstream will cause a low reading. Once you have located and corrected your problem, you can tee the gauge into your system to keep track of what kind of pressures you are operating at.
This may sound like a lot of hassle but it will keep you from "shotgunning" which is changing out parts until you happen to find the correct trouble.
The cylinder not working means it needs rebuild or replace, a pump not putting out pressure could be several causes as simple as adjustment or as serious as replacement. If you have pressure at the pump, but not at the cylinder, then the problem is in your valve which is either internally leaking or bypassing a pressure relief if it has one. Based on your symptoms, my "guess" would be that it is the cylinder but I would check with the gauge first. Let us know what you find