@Baikal3
1. I got 10 yrs green card. I did not see any condition.
2. I did not know what is I-751, never filed.
I see. Regarding item 2), you did not have to file I-751 because your initial GC was already a regular 10 year validity green card rather than a conditional green card.
Regarding your overall situation: It does look fairly complicated and it is somewhat difficult to predict what exactly will happen. You'll just have to wait for the decision on your N-400 application, although in the meantime it may be a good idea to consult an immigration lawyer to prepare for the possible consequences in the even your N-400 is denied.
You filed N-400 under the 5 year rule, so the condition of your marriage is not directly relevant to your naturalization eligibility. However, one of the general requirements for naturalization eligibility is that the applicant maintained lawful permanent resident status prior to filing N-400. In the worst case, if the IO considering your N-400 application decides that your marriage (on which your GC application was based) was fraudulent and was only entered into with the purpose of obtaining a green card, the IO may deny your N-400 and even initiate deportation proceedings.
Ordinarily, having been married for 4 years (from 2002 to 2006) prior to obtaining a green card is more than enough to demonstrate that the marriage was a bona fide valid marriage. In your case, however, the situation is complicated by the facts that you never actually lived together with your wife prior to coming to the U.S. and that after coming to the U.S. you only lived together for a relatively short time. On the other hand, you do have a child from that marriage (I assume you are listed as the father on the child's birth certificate, right?), which is a very strong factor in favor of the validity of the marriage.
As far as I can tell, there are three main possible outcomes:
1) Your N-400 application is approved after some wait. In my (completely unprofessional) opinion this is the most likely outcome. The fact that you had a child from the marriage is a very strong factor that the marriage was not fraudulent and it is rather hard for me to imagine that the IO would find it otherwise.
2) The IO denies your N-400 on the grounds that your GC was obtained through fraud/misrepresentation, but does not initiate deportation proceedings. In that case, depending on the specific wording of the denial letter, you may be able to file another N-400 right away, and, in any case, you'll be able to appeal the denial.
3) Worst case scenario: the IO denies your N-400 on the grounds that your GC was obtained through fraud/misrepresentation, and does refer the case to immigration judge for deportation proceedings. In that case you'd have to fight deportation in court and, if successful, will be able to file another N-400.
There are additional ramifications possible, depending on specifics and on what documentation your provided to the IO at the interview. For example, you N-400 may be denied if you did not provide sufficient evidence that you pay child support (always and not just from time to time). Or if there are additional factors, such as not disclosing some relevant information in your N-400 application, or something like that. But overall, the three options above are the main possible outcomes.
Like I said, IMO, it is more likely than not that your N-400 will be approved. It is not enough for the IO to have mere suspicions that the marriage was fraudulent and the fact that you had a child from that marriage is a very strong factor in favor of the marriage's validity.
Still, the only thing you can really do now is wait (unless at the interview the IO requested that you mail in some additional evidence) and hope for the best. Plus, as I said, you could consult an immigration lawyer now regarding preparations for a possible negative outcome of your N-400.
