The Collaborative International Dictionary of English v.0.48:

Outlearn \Out*learn"\, v. t.
   1. To excel or surpass in learing.
      [1913 Webster]

   2. To learn out [i. e., completely, utterly]; to exhaust
      knowledge of.
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            Naught, according to his mind,
            He could outlearn.                    --Spenser.
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            Men and gods have not outlearned it [love].
                                                  --Emerson.
      [1913 Webster]