If you never told it that it has parents/creators/whatever -- would it ever reach the conclusion that it has a creator or parent?
A completely "cold, rational thought" machine could definitely deduce this if it was at the level where it could think something like this:
I think; therefore I am.
If I exist, then I either have always existed, or I have begun existing at some point in time.
My memory banks have recorded record thought only for a finite period of time, therefore I must have begun existing at some point in time.
Therefore something must have caused my existance.
etc. etc.
And if this intelligent logical system had the capability to ask questions and have curiosity, it would ask itself "Who or what created me?" and "What is the meaning of life?".