YES
TRS:
 {dfib(s(s(x)), y) -> dfib(s(x), dfib(x, y))}
 DP:
  Strict:
   {dfib#(s(s(x)), y) -> dfib#(x, y),
    dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
  Weak:
  {dfib(s(s(x)), y) -> dfib(s(x), dfib(x, y))}
  EDG:
   {(dfib#(s(s(x)), y) -> dfib#(x, y), dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)))
    (dfib#(s(s(x)), y) -> dfib#(x, y), dfib#(s(s(x)), y) -> dfib#(x, y))
    (dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)), dfib#(s(s(x)), y) -> dfib#(x, y))
    (dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)), dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)))}
   SCCS:
    Scc:
     {dfib#(s(s(x)), y) -> dfib#(x, y),
      dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
    SCC:
     Strict:
      {dfib#(s(s(x)), y) -> dfib#(x, y),
       dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
     Weak:
     {dfib(s(s(x)), y) -> dfib(s(x), dfib(x, y))}
     SPSC:
      Simple Projection:
       pi(dfib#) = 0
      Strict:
       {dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
      EDG:
       {(dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)), dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y)))}
       SCCS:
        Scc:
         {dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
        SCC:
         Strict:
          {dfib#(s(s(x)), y) -> dfib#(s(x), dfib(x, y))}
         Weak:
         {dfib(s(s(x)), y) -> dfib(s(x), dfib(x, y))}
         SPSC:
          Simple Projection:
           pi(dfib#) = 0
          Strict:
           {}
          Qed