Lucy is the vampire, minna is the human. 
Lucy's statement: we both are insane
Minna's statement: we are not both insane.
There are a total of 4 scenarios:
a) Both are insane.
In this case, Lucy tells the truth: So she must be an insane
vampire. Therefore Minna is a human. But minna must be insane as
well. Minna is lying when she say both not insane. So she is insane
human, so she lies.
This is consistent, so lucy is insane vampire, minna is insane
human. 
b) Lucy is insane, minna is sane.
In this case, Lucy is lying when she say both insane. Since lucy is
lying and insane, she must be insane human. But then minna should
be vampire then. But minna is telling the truth and is not insane.
This is a contradiction cos normal vampires should not tell the
truth
So lucy cannot be insane human, minna cannot be sane vampire

c) Lucy is sane, minna is insane.
Similary like b, In this case, Lucy is lying when she say both
insane. Since lucy is lying and sane, she must be sane vampire. But
then minna should be human then. But minna is an insane human and
yet she tells the truth so contracdiction again 
So lucy cannot be sane vampire and minna cannot be insane human

d) Both lucy and minna is sane
Lucy is sane and is lying. So Lucy must be a sane vampire. Minna is
then the human. Minna is telling the truth when she said lucy is
wrong. So Minna is the sane human which is consistent.
So lucy is sane vampire and minna is sane human.
Conclusion, both are either insane or both are sane. Ultimately
Lucy is vampire and minna is human

Any flaws please tell me.. and yes i am that boliao to type all
this out
