Review Comment:
My apologies for taking so long to review the second iteration of the paper. I think the paper is now in a better shape, though some explanations in the paper are difficult to understand. Addressing these would improve the overall readability of the paper.
The most critical of my comment concerning section 4.3 has been addressed by the authors. However, the added text and the intro to the evaluation could be a bit clearer. In particular, the authors stress that they evaluate whether FOWL can capture "ontologically meaningful axioms". I have no idea what is meant by that - it seems like an awkward (and unnecessary) emphasis. Presumably, all axioms that one wants to express are ontologically meaningful - otherwise one wouldn't care. I would suggest removing that phrase and rewording lines 1-8 and 24-26 on p. 7 and l. 40-41 on p. 9 ("ontologically meaningful axioms and reasoning tasks")
Other comments/suggestions:
9:43, you should you stress here already that these axioms are automatically derived from from SMILES annotations
3:42: "More specifically, a FOWL ontologiy is an OWL file, ..." The remainder of the sentence is confusing. What do you mean by "selected" here? Please clean this up.
4:35-28: This sentence is difficult to parse and also vague. Somewhere later on, you say you use Levenshtein distances to do name mapping. Please be more clear here.
8:34: "This is especially useful ..." - Maybe reword to "This is, for instance, useful ..."
9:47: delete "a" before "biologically relevant"
10:10: delete "an" before "initial experiments"
11:30-35: These two sentences are really difficult to follow, especially the second sentence: ""It should, however, ... " Please rewrite this to make it more clear.
11:45: "conjecture is B(a)" -> "conjecture B(a) is"
11:49: "is not an axiom" -> "is not an axiom or theorem" (you're using the transitive closure of subsumption)
12:23-29: the notion of unexpected proofs/counter-examples in ontology development has been explained in detail in Katsumi & Gruninger: https://pdfs.semanticscholar.org/30b6/5dc0a0b9196d07214c2ef0edd1b1515824...
You should probably refer to that work for details
Your response to my remarks #7 and #9 make sense, but I couldn't find the place where this is addressed in the paper. I expected it in Section 2.
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