YES
Time: 0.000703
TRS:
 {f(a(), f(f(a(), x), a())) -> f(f(a(), f(a(), x)), a())}
 DP:
  DP:
   {f#(a(), f(f(a(), x), a())) -> f#(f(a(), f(a(), x)), a()),
    f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x))}
  TRS:
  {f(a(), f(f(a(), x), a())) -> f(f(a(), f(a(), x)), a())}
  EDG:
   {(f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x)), f#(a(), f(f(a(), x), a())) -> f#(f(a(), f(a(), x)), a()))
    (f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x)), f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x)))}
   SCCS (1):
    Scc:
     {f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x))}
    SCC (1):
     Strict:
      {f#(a(), f(f(a(), x), a())) -> f#(a(), f(a(), x))}
     Weak:
     {f(a(), f(f(a(), x), a())) -> f(f(a(), f(a(), x)), a())}
     SPSC:
      Simple Projection:
       pi(f#) = 1
      Strict:
       {}
      Qed