Does a divorce occur if a man pronounced it – saying: "Divorce, that I will not repeat it [i.e., the error]" – referring to not repeating the opening Takbir, then he repeated his prayer?

There is no cure for obsessive thoughts except to ignore them and not pay them any attention. What an individual suffering from obsessive thoughts swears an oath to, or breaks under the influence of these thoughts, does not obligate them to anything. If you swore an oath or broke it under the influence of obsessive thoughts, there is nothing upon you, and your divorce does not take effect.