I recently did a research study and submitted it to a suitable journal which covers the field. One of the referees said that the same analysis has been already done and referred to an article that was submitted to arXiv two months before our submission date. The mentioned article covers less than 50% of our work: the part of the work which is trivial and not challenging. This referee did not take any scientific objections and judged only on the apparent similarity between two papers. The second referee said that the work is interesting and non-trivial and asked some questions for revising the paper. The third referee (adjudicator) has made a decision based on the 1st referee's judgement and also pointed to the mentioned article.
I have 3 questions:
Since we obtained the results almost simultaneously (I did not submit the paper to arXiv and directly sent it to a journal) and since our results are much more complete, and we cover topics that are not included in that article, can I send my objection to the editor and will it work? (Our paper is better in any respect, e.g., English writing, innovative conclusions, …)
Since the three reviewers reviewed the article, is it possible that the result (rejection) changes?
How can I write an objection that works?
Note: I am in a tight spot in terms of time and another peer review means another 1-3 months.