Complaint sub-issue: Their investigation did not fix an error on your report

XXXX/XXXX/XXXX XXXX XXXX Equifax XXXX Dear Credit Bureau, A lawsuit I will file due to the utter lack of response from your company. When someone is the victim of identity theft, it is simply a nightmare trying to get false information removed from a credit file. I have contacted all of the false creditors listed on my credit file. I have challenged all of the false listings on my credit file. Nothing ever happens to fix the situation. Over 90 days ago I wrote each the creditors in question and demanded proof that I am their customer. I asked for proof of the alleged debt, including specifically the alleged contract or other instrument bearing my signature. So far none of them has been able to provide such proof to me. I have sent follow-up letters to each of them and there is still no proof. I have attempted phone contact, but I simply get transferred around and nothing ever gets accomplished. 
I have fully investigated my rights in this matter. Under the doctrine of XXXX by silence, XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX, XXXX, I XXXX presume that no proof of the alleged, nor therefore any such inquiry was made by myself, in fact exists. I have copies of the certified letters and dates prepared to bring to court I have attempted to address my concerns of defamation with equifax. Also, under the Fair Credit Reporting Act, these disputed items XXXX not appear on my credit report if they can not be supported by any evidence. 
Under the Fair Credit Reporting Act, if they can not verify the these inquiries within 30 days, then it must be removed. Your letters to me claim that all inquiries are factual, but this is in fact not true under law. Simply contacting the alleged creditor and asking them to match up numbers and dates in their database is no sufficient verification for identity theft. Of course the information matches up. Someone clearly used my information without my authorization. 
Now I am hoping to not have to sue Equifax for being such a pain in the posterior to me. I have provided more than sufficient evidence to get these false inquiries removed. You XXXX contact me before suit is filed on XXXX XXXX via letter at my address listed at the top of this letter. This matter can be settled simply by your agreement to remove the false information from my credit file. 
I require a response, on point, in writing, hand signed, and in a timely manner. If I get another pointless letter from you saying that it is factual then there will be no more opportunity for negotiation. This will proceed in court until I have successfully proven to a judge that this false information must be removed from my credit file. I will also be aggressively pursuing the full judgment that I can get against Equifax for violation of the Fair Credit Reporting Act and Defamation. 

The items to be removed from my credit report are listed as follows : Inquiries : XXXXXXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX XXXX I look forward to your response. 
Sincerely, XXXX XXXX XXXX # XXXX