From Longman Dictionary of Contemporary Englishunsaddleun‧sad‧dle /ʌnˈsædl/ verb [transitive] to remove the saddle (=leather seat) from a horse→ See Verb table
Examples from the Corpus
unsaddle• He received a tumultuous welcome on returning to unsaddle, and when the dust settled the plaudits rained down.• The crowd was stunned, and Bachelor's Button returned to unsaddle in almost complete silence.