(c) All impeachments by the house of representatives shall be tried by the senate. The chief justice of the supreme court, or another justice designated by the chief justice, shall preside at the trial, except in a trial of the chief justice, in which case the governor shall preside. The senate shall determine the time for the trial of any impeachment and may sit for the trial whether the house of representatives be in session or not. The time fixed for trial shall not be more than six months after the impeachment. During an impeachment trial senators shall be upon their oath or affirmation. No officer shall be convicted without the concurrence of two-thirds of the members of the senate present. Judgment of conviction in cases of impeachment shall remove the offender from office and, in the discretion of the senate, may include disqualification to hold any office of honor, trust or profit. Conviction or acquittal shall not affect the civil or criminal responsibility of the officer.