I have the same problem. I think the answer should be "false"

I'm really confused on one of the test cases. (I don't think this is a spoiler because it's just about the test case.) The test case is: (aOR!b)AND(cOR!d)AND(!cOR!dOR!eOR!f)AND(eOR!g)AND(!fORg)AND(bOR!c)AND(cORdOReORf)AND(!aORf)AND(dOR!e)AND(aORbORg)
I think the feedback says that this test case is supposed to be True/valid (because my program gives the answer False), but I don't understand why.

As far as I can tell, if a is True, !aORf means f must be True (because !a is False), !fORg means g must be True, eOR!g means e must be True, dOR!e means d must be True, cOR!d means c must be True, and then !cOR!dOR!eOR!f is False because f, e, d, and c are True. So the solution a = True doesn't work.

If a is False, aOR!b means b must be False (because a is False in aOR!b, so !b must be True and b must be False), and then bOR!c means c must be False, cOR!d means d must be false, dOR!e means e must be False, and eOR!g means g must be False, making aORbORg False.

Since a cannot be True or False with all the statements evaluating to True, why is this statement valid? I'm clearly missing something here, maybe not even understanding the Kata as a whole, but since I can't even understand the test case, it's really hard to get my program to understand it. Can anyone help me out here?