YES

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

Proof:
 String Reversal Processor:
  a(b(a(b(a(a(b(x1))))))) -> b(a(a(b(b(a(b(a(a(x1)))))))))
  Bounds Processor:
   bound: 4
   enrichment: match
   automaton:
    final states: {3}
    transitions:
     a3(122) -> 123*
     a3(92) -> 93*
     a3(82) -> 83*
     a3(99) -> 100*
     a3(89) -> 90*
     a3(98) -> 99*
     a3(93) -> 94*
     a3(88) -> 89*
     a3(83) -> 84*
     a3(95) -> 96*
     a3(85) -> 86*
     b4(134) -> 135*
     b4(131) -> 132*
     b4(128) -> 129*
     b4(130) -> 131*
     a4(132) -> 133*
     a4(127) -> 128*
     a4(129) -> 130*
     a4(126) -> 127*
     a4(133) -> 134*
     a0(3) -> 3*
     b0(3) -> 3*
     b1(22) -> 23*
     b1(19) -> 20*
     b1(16) -> 17*
     b1(18) -> 19*
     a1(30) -> 31*
     a1(20) -> 21*
     a1(15) -> 16*
     a1(17) -> 18*
     a1(24) -> 25*
     a1(14) -> 15*
     a1(21) -> 22*
     b2(70) -> 71*
     b2(42) -> 43*
     b2(74) -> 75*
     b2(39) -> 40*
     b2(71) -> 72*
     b2(36) -> 37*
     b2(68) -> 69*
     b2(38) -> 39*
     a2(40) -> 41*
     a2(35) -> 36*
     a2(72) -> 73*
     a2(67) -> 68*
     a2(37) -> 38*
     a2(69) -> 70*
     a2(44) -> 45*
     a2(34) -> 35*
     a2(66) -> 67*
     a2(41) -> 42*
     a2(78) -> 79*
     a2(73) -> 74*
     b3(97) -> 98*
     b3(87) -> 88*
     b3(94) -> 95*
     b3(84) -> 85*
     b3(96) -> 97*
     b3(86) -> 87*
     b3(100) -> 101*
     b3(90) -> 91*
     3 -> 14*
     18 -> 34*
     19 -> 66,24
     22 -> 44,30
     23 -> 67,25,15,3
     25 -> 15*
     31 -> 15*
     39 -> 92,78
     43 -> 67,25
     45 -> 35*
     74 -> 82*
     75 -> 70,18
     79 -> 67*
     87 -> 126,122
     91 -> 93,79
     101 -> 70*
     123 -> 93*
     135 -> 96*
   problem:
    
   Qed