Small Engines (Lawn Mowers, etc.): John Deere F725, electric fuel pump, kawasaki engine

Question
I have a similar question that was asked on 6-16-2010.  My f725 with the Kawasaki water cooled eng. stalls everytime i cut grass.  It is a fuel problem, you can see the fuel leaving the fuel filter. The fuel system is like this. Fuel tank, 18" of 1/4 hose, clear fuel filter, 22" of 1/4 hose to the intake of the fuel pump and then to the carb. The fuel pump was replaced 10 months ago because it was leaking fuel from the weep hole. I replaced all the hoses and fuel filter, but it still stalls out. I rebuilt the carb and still had the same result of stalling out.  I took off the fuel tank and cleaned it out (but it was clean) still stalls. I bought an electric fuel pump just to test and see if the mechanical pump is bad. I thought i had it fixed but you guessed it, stalled again.  I took the hose off the out side of the filter to see if the electric fuel pump would push any gas and it pushes enough gas into the filter to fill it about half way and kind of just bubbles.  I thought the pickup tube in the tank may have a hole/crack in it so i used a 1/2 piece of copper tubing and connected it straight to the fuel hose going to the electric pump and the mower does the same thing, stalls out just a few feet into cutting.

I am at wits end and would love some help.

Thanks,
Tim

Answer
Starting with a full tank of fuel, can you drive the mower around until the fuel tank is empty?

Does the engine stall instantly when you engage the blades?

What is the Kawasaki engine model number?  Many manuals are available online but I need the engine model number to check.

Let me know.
Eric