Consider the following propositions for rephrasing the sentence If Galois and his predecessors had not been obsessed with understanding the conditions under which an equation can be solved by radicals, humanity’s discovery of group theory would have been greatly delayed (l. 48-53).
I - Had Galois and his predecessors not been obsessed with understanding the conditions under which an equation can be solved by radicals, humanity’s discovery of group theory would have been greatly delayed.
II - Humanity’s discovery of group theory would have been greatly delayed had Galois and his predecessors not been obsessed with understanding the conditions under which an equation can be solved by radicals.
III - Had Galois and his predecessors been obsessed with understanding the conditions under which an equation can be solved by radicals, humanity´s discovery of group theory would not have been greatly delayed.
If applied to the text, which one(s) would be correct and keep the original meaning?