Yes but without a citation I have no way of telling if that dictionary is Merriam-Webster's or Bubba McDingbat's.
I should also add that I am not aware of any canonical usage of the word "slut" that does not apply to a human. Although the initial ambiguity in this regard is somewhat fundamental to the humor value in your argument, it does reveal that we could have done away with nearly all of the argument by simply pointing out that, by P5 and the evidence that the subject in question has feelings, the subject is clearly human.
You seem to be talking about P5 here (which I have no problem with), not P4. I realise though that I misspoke somewhat about P4, as it is not exactly weak but actually illogical since sluts are people and people cannot not have feelings.