Spoiler forFrom the OP it is clear that statements [7 & 8] are both either true or lie.
CASE - 1
Assuming both as true, we get the following results:
Statement  is lie, as seven of them couldn't be lying.
 is lie, as six of them couldn't be lying if  was true.
 &  are both either lie are both true. So  &  both are lies, as five of them couldn't be lying if  &  both were true.
Either one of  &  could be true, so  couldn't be true, if  was a lie. Also  couldn't be true if  was a lie. Therefore both are lie.
Conclusion of above: If  &  were true, thenl other six would be lying, which would make the statement  - true, So case - 1 is not possible.
CASE - 2:
 &  both are lying. then all of the statements become lie except . Therefore Case - 2 is correct. Both  &  are lying hence  is Bill and  is Susan.
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