If I remember correctly, I played this game long time ago, after pushing him to the edge he will try to crush you and after that there should be a prompt to press a "button" (attack button) repeatedly.
To push him over the tapping has to be at the beginning at the rhythm on screen following a VERY fast tapping, I remember putting the controller on my knee and tapping with my index finger because this way I could tap faster. I had to do that more than once.
If real is what you can feel, smell, taste and see, then 'real' is simply electrical signals interpreted by your brain
From The Matrix