Ky. R. Civ. P. 39.01. — By jury

When trial by jury has been demanded as provided in Rule 38, the action shall be designated upon the docket as a jury action. The trial of all issues so demanded shall be by jury, unless (a) the parties or their attorneys of record, by written stipulation filed with the court or by an oral stipulation made in open court and entered in the record, consent to trial by the court sitting without a jury, or (b) the court upon motion or of its own initiative finds that a right of trial by jury of some or all of the issues does not exist under the Constitution or Statutes of Kentucky.