What is the ruling on a man saying to his wife, "So-and-so is divorced," when he is speaking to himself to give an example, and does divorce occur thereby if he suffers from obsessive thoughts?

Your statement that you would divorce your wife were it not for the children does not constitute a divorce, nor does what you thought to yourself about the aforementioned phrase necessitate a divorce, even if you uttered it aloud. We advise you to stop with the whispers (waswas), as the most important cure for them is to ignore them.