No one seems to be answering so ill give it to you.
We know that there is an irresistable force out there. To restate this fact, for a force to be "irresistable", it must be moving with an "infinite" amount of force. For the sake of argument, this infinite amount of force is moving in a "positive" direction. To boil it down, then, we have
Irresistable force = +(infinity)
Of course, I can't type the infinite symbol, so the above will do.
Now, let us examine the immovable object. By Newton's Laws, "For every action, there is an equal and opposite reaction." By definition, then, an immovable object must, via Newton's Law, be able to withstand an infinite amount of force, and, by necessity, must be able to impart an equal and opposite force to withstand it. Because it is opposite, the force, then, is infinite...but negative, since it's in the opposite direction. Thus,
Immovable object = -(infinity)
Now we're ready to resolve the problem. Recall your vector math and physics. A resulting force is the sum of two forces...in this case, the irresistable force and the immovable object. This makes it adding a positive infinite force to a negative infinite force. Resolving, we get the following:
+(infinity) + -(infinity) or (infinity)-(infinity)
= 0
The result is no force at all. The irresistable force has been stopped cold in its tracks by the immovable object....and, in fact, some of that force might have transferred over to the object (by a formula that I can't recall at the moment). But that, in a nutshell, is your answer.
Of course, some will still argue that the irresistable force did not stop since, by definition, it's irresistable, but the math don't lie.