YES

Problem:
 a(b(a(a(b(b(x1)))))) -> a(a(b(a(b(b(a(x1)))))))

Proof:
 String Reversal Processor:
  b(b(a(a(b(a(x1)))))) -> a(b(b(a(b(a(a(x1)))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {3}
    transitions:
     a1(15) -> 16*
     a1(12) -> 13*
     a1(18) -> 19*
     a1(13) -> 14*
     b1(20) -> 21*
     b1(17) -> 18*
     b1(14) -> 15*
     b1(16) -> 17*
     b0(3) -> 3*
     a0(3) -> 3*
     3 -> 12*
     13 -> 20*
     19 -> 3*
     21 -> 15*
   problem:
    
   Qed