I submitted a short note to a math journal providing a counterexample to a result in literature that had first appeared in that very journal.
After eight months, I heard from the journal. It was a rejection. The associate editor based his rejection on one referee who had clearly misunderstood my counterexample.
I framed a polite email to the editor-in-chief (EIC) arguing why the referee was wrong in claiming that my counter example was not valid. I don't have high hopes of hearing back from the EIC. He never responded to my emails asking for status updates in months 4, 6 and 8.
For the sake of science (the algorithm to which I propose a counterexample is used by folks in my area of applied math), I intend to upload my paper, the referee report and the covering letter of the associate editor (all of whom are anonymous) on my website and on Research Gate. Alongside this, I plan to upload an explanation explaining why the journal was mathematically wrong to reject my work. I essentially plan to simply upload the letter that I have written to the EIC where I argue why the referee/AE are wrong.
Is there any legal reason why I should not upload the referee/AE reports?
How else can I handle this messy and depressing situation?