YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {1}
   transitions:
    b0(7) -> 8*
    b0(4) -> 5*
    b0(11) -> 12*
    b0(13) -> 14*
    b0(10) -> 11*
    b0(8) -> 9*
    f30() -> 2*
    a1(22) -> 23*
    a1(27) -> 28*
    a1(15) -> 16*
    a1(25) -> 26*
    a1(18) -> 19*
    c1(19) -> 20*
    c1(16) -> 17*
    b1(24) -> 25*
    b1(17) -> 18*
    b1(21) -> 22*
    b1(20) -> 21*
    b1(26) -> 27*
    b1(23) -> 24*
    a0(14) -> 1*
    a0(12) -> 13*
    a0(2) -> 3*
    a0(9) -> 10*
    a0(5) -> 6*
    c0(6) -> 7*
    c0(3) -> 4*
    28 -> 7*
    13 -> 15*
    1 -> 4*
  problem:
   
  Qed