As noted before, I also do not believe that invisible pink unicorns exist (on earth, at this time) ... but recognize that this choice is made willingly and is based on belief.
I also qualify my belief based on the limited amount of knowledge available.
The logical rational answer to "Let's let {A}=IIPU(bbhh) ..." is still "(3) We don't know if {A} exists or not" -- the agnostic answer.
And this logical rational answer still does not prevent us from believing either that "(1) YES {A} exists!" or "(2) NO {A} does NOT exist!"
but we've been over this before eh?
The center of the argument is that you can't be invisible and pink, it's a logical contradiction, so if your formula asserts it is possible, it is wrong.