I've figured out the name of my problem! It is AC 9!
And the answer is AC 8.1!
I tried to do the same in previous version (8.1) and my surface began "to work" as an operator. But the name of the operation I needed is not the substraction with upwards extrusion! It is intersection!!?
In my case intersection works the same way as it works with a mesh when you try to cut something with a mesh. But you can use this command even for surface meshes in AC 81!!! and only for solid ones in AC 9
So, the decision of my problem lies on the surface (heh...) in previous version of ArchiCAD!!!
Is it the right way you going, Graphisoft?