Any one of the professionals that participate in this blog will be able to answer your question. And before Jeff corrects you, understand that you don't "file for a trademark." You file an application to register a mark you are using or intend to use to sell goods and/or services under that name or design.
Off-topic, and forgive me for being blunt but, YOUR BRAND IS YOUR BUSINESS!!! You can't afford NOT to have experienced counsel help you. I've assisted hundreds of times with applications incorrectly or inadequately filed directly by the applicant that not only waste the filing fees and early filing date, but ended up providing the applicant with little or no actual protection. Could have been avoided by using an experienced IP attorney and working out a payment plan.
This may sound callus (sp?) but it breaks my heart to see small business owners take their intellectual property so lightly. There is an accepted 2-year learning curve just to be considered a moderately experienced intellectual property SECRETARY, for pete sake. Why do so many think IP prosecutuion is easy when it takes years of experience to be able to navigate the mine field that is the USPTO?! End of rant.
Regarding your question, the other party's mark, if similar in sight, sound and meaning, filed for similar goods/services, would probably be cited against yours in a 2(d) office action refusal, which would necessitate filing a response with substantive argument, and possibly exhibits, that you could not do yourself.
Sorry, I'm sick and having a bad day.