We have a half bath. We have not exactly had a clog, but I do frequently see TP near the toilet valve. To prevent an actual clog and force that TP down into the tank, we occasionally do what I call a "super flush". Hold the pedal down slightly to fill the bowl with water ALL the way, very near to the top. Remove foot to stop water, then push pedal down quickly to release all that water at once. That always works for us. I do it before every tank dump to make sure the plumbing is clear and everything is in the tank.
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