What is the authenticity of the noble Prophetic saying: "Verily, the cure for inability is to ask," and does the period of "truce on condition of smoke" mean that the sword will not be lifted from the Ummah until the Day of Judgment, even though this period is good according to the text of the hadith?

The intent of the questioner's query is unclear. As for the Hadith (definition) of Hudhayfah, it is well-known and has multiple narrations. The one closest to the questioner's inquiry is that narrated by Ahmad from Abdur-Razzaq from Hudhayfah ibn al-Yaman, in which Hudhayfah asked the Prophet, peace and blessings be upon him, about the evil that would come after goodness, and about immunity from it. The Prophet, peace and blessings be upon him, replied: "The sword," and then mentioned a sign of "aqdhaa'" (impurities) and a "hudnah 'ala dakhan" (truce based on mutual resentment), then the callers to misguidance, and that there would be a Caliph on Earth. If not, then death would be by biting onto the root of a tree, and then the Dajjal would emerge. Scholars have interpreted the meanings of these terms. The immunity by the sword was interpreted by Qatadah as the apostasy that occurred during the time of Abu Bakr. "Aqdhaa'" means corruption in the hearts, and "dakhan" means grudges. As for the Hadith: "If the sword is placed among my Ummah, it will not be lifted from them until the Day of Resurrection," it is a sound and authentic Hadith narrated by At-Tirmidhi and others. Scholars interpreted it to mean that fighting and chaos will persist until the Day of Resurrection. As for the Hadith: "There will be a silent, mute, blind tribulation; whoever seeks it, it will seek him, and the utterance of the tongue in it is like the falling of a sword," its chain of narration is weak.