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:
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The high performance requirement cannot be satisfied while being loyal to the power budget.
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The high performance requirement cannot be satisfied by following the power budget.
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It is impossible to meet high performance requirement and be loyal to the power budget simultaneously.
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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