I want to imply something cannot happen if we must obey something else or be loyal to a rule, restriction, etc.. For example, consider the relation between power consumption and performance of a electronic device. We have some constraints on power called power budget that we cannot violate it. I have written down below sentences:
The high performance requirement cannot be satisfied while being loyal to the power budget.
The high performance requirement cannot be satisfied by following the power budget.
It is impossible to meet high performance requirement and be loyal to the power budget simultaneously.
It is impossible to satisfy the high performance requirement without violating the power budget.
I think there is perfect word describing: "something happening is not feasible if something else must be happened".
Q1: Which sentence do you prefer ?
Q2 : Is there any special or well-known structure used to discuss about such issues?
I would be happy to have your comments. Regards