==Can God create a rock so big that he can not lift it?== 

 I think this is a bad example, because the question is not unanswerable nor truly loaded.  Presupposing for the sake of answering this question that God is an omnipotent being: 

 Being omnipotent, there is no limit to the amount of force he has available to lift any rock. 

 Any rock, in order to exist, must be created of a finite mass. 

 If God can exert an infinite amount of force to any finite amount of mass, then he can lift it. 

 So then the answer is "no."  Any rock of finite mass that God creates could not possibly be beyond his ability to lift if he has an infinite amount of force to exert upon it.  Even being omnipotent, God would be limited to create a rock of a finite mass.  Ironically the reason why he can't create a rock so big that he can not lift it is because his power is NOT limited, not because it IS. 

 I decided to remove this as an example of this fallacy, because it isn't really.