Does the husband's saying to his wife: "If you lie to me a second time, then consider yourself no longer my responsibility, or that what is between us is over" constitute a conditional divorce, an allusive divorce, or a promise of divorce, especially given his doubt about his intention, whether it was a prevention or a divorce, and whether the wife subsequently lied to him about a trivial matter, knowing that he dislikes divorcing her, and does the rule "Avert punishments by doubts" apply to this case?

The aforementioned phrases are allusive to divorce. Divorce does not occur through them except with the intention or the fulfillment of the condition upon which it is made contingent. As long as you are doubtful about the intention of divorce, it does not occur, because the original state is the continuation of the marriage, and it is not removed by doubt. Al-Ruhaibani said: "Doubt here refers to absolute hesitation between the existence of the doubted matter, such as divorce, or its number, or its condition, and its non-existence. Therefore, divorce is not binding due to doubt about it, or doubt about what the divorce was contingent upon." It is advised to disregard obsessive thoughts and not pay attention to them.