Depends on what you mean by "push." Splitting power is determined by PSI and the diameter of the cylinder. More PSI gives more force and so does more surface area on the piston in the cylinder.
Raising PSI takes more horsepower. Increasing cylinder-bore size takes less horsepower, but also slows it down.
So, it's a toss up. I've got three log splitters. Two self-powered, and one run by a Price PTO pump on a 33 horsepower tractor, hooked to a 4" diameter cylinder. My 28 horse tractor can run all day splitting hard maple and red oak with the engine idling, and great cycle-time. So, obviously, I could do it with a smaller tractor.
Keep in mind that Prince makes PTO pumps in four different sizes. Mine is the biggest at 9.9 cubic inches per revolution. The smallest one is only 3.6 cubin inches per rev. Remember that you need a big pump since the PTO runs so slow. Most standard pumps are rated at 2000 RPM, not 545 RPM.
My pump puts out 21 GPM at 540 RPM and 2000 PSI. It needs 32 horsepower to make 2000 PSI (which only happens in the hardest wood). Needs 24 horse at 1500 PSI and 16 horse to make 1000 PSI.
Ford 9N makes 23 PTO horsepower on a good day. It can handle the second largest Prince pump that is rated at: 5.7 cubic inches per rev. At 2000 PSI, it needs 18 horsepower. At 2500 PSI it needs 24 horse. So, if you have a 3.5" or 4" cylinder, and this pump - you'll have pretty good cycle time and enough power to split just about anything.
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