YES

Problem:
 1(4(x1)) -> 3(1(1(2(2(4(x1))))))
 5(4(x1)) -> 4(2(3(1(1(1(x1))))))
 0(3(0(x1))) -> 2(1(1(0(2(0(x1))))))
 0(5(5(x1))) -> 1(0(1(3(4(2(x1))))))
 1(5(4(x1))) -> 0(2(5(2(0(4(x1))))))
 3(5(4(x1))) -> 4(1(3(4(2(3(x1))))))
 4(1(4(x1))) -> 3(3(2(2(3(1(x1))))))
 5(4(0(x1))) -> 2(4(0(4(4(0(x1))))))
 5(4(0(x1))) -> 5(1(5(2(1(0(x1))))))
 5(4(4(x1))) -> 4(1(1(3(2(4(x1))))))
 5(5(4(x1))) -> 3(4(4(1(2(2(x1))))))
 0(5(5(0(x1)))) -> 0(2(0(0(3(0(x1))))))
 0(5(5(4(x1)))) -> 0(1(3(4(3(4(x1))))))
 1(4(5(4(x1)))) -> 0(4(5(0(2(1(x1))))))
 1(4(5(5(x1)))) -> 0(0(1(3(4(1(x1))))))
 2(5(4(0(x1)))) -> 0(4(1(2(4(0(x1))))))
 4(3(0(5(x1)))) -> 3(3(2(3(5(5(x1))))))
 5(4(0(0(x1)))) -> 1(0(4(0(2(2(x1))))))
 5(4(0(2(x1)))) -> 3(0(4(5(0(2(x1))))))

Proof:
 String Reversal Processor:
  4(1(x1)) -> 4(2(2(1(1(3(x1))))))
  4(5(x1)) -> 1(1(1(3(2(4(x1))))))
  0(3(0(x1))) -> 0(2(0(1(1(2(x1))))))
  5(5(0(x1))) -> 2(4(3(1(0(1(x1))))))
  4(5(1(x1))) -> 4(0(2(5(2(0(x1))))))
  4(5(3(x1))) -> 3(2(4(3(1(4(x1))))))
  4(1(4(x1))) -> 1(3(2(2(3(3(x1))))))
  0(4(5(x1))) -> 0(4(4(0(4(2(x1))))))
  0(4(5(x1))) -> 0(1(2(5(1(5(x1))))))
  4(4(5(x1))) -> 4(2(3(1(1(4(x1))))))
  4(5(5(x1))) -> 2(2(1(4(4(3(x1))))))
  0(5(5(0(x1)))) -> 0(3(0(0(2(0(x1))))))
  4(5(5(0(x1)))) -> 4(3(4(3(1(0(x1))))))
  4(5(4(1(x1)))) -> 1(2(0(5(4(0(x1))))))
  5(5(4(1(x1)))) -> 1(4(3(1(0(0(x1))))))
  0(4(5(2(x1)))) -> 0(4(2(1(4(0(x1))))))
  5(0(3(4(x1)))) -> 5(5(3(2(3(3(x1))))))
  0(0(4(5(x1)))) -> 2(2(0(4(0(1(x1))))))
  2(0(4(5(x1)))) -> 2(0(5(4(0(3(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {92,88,85,81,76,71,66,62,57,53,47,42,37,32,26,20,14,8,1}
    transitions:
     01(102) -> 103*
     01(100) -> 101*
     11(99) -> 100*
     11(98) -> 99*
     40(68) -> 69*
     40(58) -> 59*
     40(31) -> 26*
     40(44) -> 45*
     40(34) -> 35*
     40(22) -> 89*
     40(45) -> 46*
     40(93) -> 94*
     40(27) -> 72*
     40(15) -> 43*
     40(7) -> 1*
     40(70) -> 66*
     40(83) -> 84*
     40(3) -> 58*
     40(24) -> 25*
     40(79) -> 80*
     40(56) -> 53*
     40(2) -> 9*
     f60() -> 2*
     50(86) -> 87*
     50(28) -> 29*
     50(2) -> 48*
     50(49) -> 50*
     50(94) -> 95*
     50(72) -> 73*
     50(87) -> 85*
     00(73) -> 74*
     00(2) -> 27*
     00(95) -> 96*
     00(65) -> 62*
     00(30) -> 31*
     00(3) -> 93*
     00(52) -> 47*
     00(89) -> 90*
     00(43) -> 44*
     00(84) -> 81*
     00(28) -> 63*
     00(27) -> 77*
     00(63) -> 64*
     00(46) -> 42*
     00(21) -> 22*
     00(17) -> 18*
     00(19) -> 14*
     20(39) -> 40*
     20(2) -> 15*
     20(5) -> 6*
     20(74) -> 75*
     20(27) -> 28*
     20(61) -> 57*
     20(50) -> 51*
     20(96) -> 92*
     20(25) -> 20*
     20(9) -> 10*
     20(82) -> 83*
     20(18) -> 19*
     20(29) -> 30*
     20(90) -> 91*
     20(55) -> 56*
     20(60) -> 61*
     20(6) -> 7*
     20(38) -> 39*
     20(35) -> 36*
     20(91) -> 88*
     30(40) -> 41*
     30(10) -> 11*
     30(3) -> 38*
     30(33) -> 34*
     30(39) -> 86*
     30(69) -> 70*
     30(67) -> 68*
     30(64) -> 65*
     30(54) -> 55*
     30(23) -> 24*
     30(36) -> 32*
     30(78) -> 79*
     30(2) -> 3*
     10(12) -> 13*
     10(2) -> 21*
     10(22) -> 23*
     10(4) -> 5*
     10(13) -> 8*
     10(15) -> 16*
     10(72) -> 82*
     10(75) -> 71*
     10(27) -> 67*
     10(59) -> 60*
     10(9) -> 33*
     10(80) -> 76*
     10(48) -> 49*
     10(77) -> 78*
     10(33) -> 54*
     10(3) -> 4*
     10(41) -> 37*
     10(11) -> 12*
     10(16) -> 17*
     10(51) -> 52*
     21(97) -> 98*
     21(101) -> 102*
     92 -> 15,28
     47 -> 27*
     42 -> 27*
     85 -> 48*
     63 -> 97*
     14 -> 27,93
     66 -> 9*
     53 -> 9*
     88 -> 27,77
     76 -> 48*
     26 -> 9*
     71 -> 9*
     8 -> 9*
     1 -> 9*
     62 -> 27*
     20 -> 48*
     37 -> 9*
     57 -> 9*
     103 -> 62*
     81 -> 27*
     32 -> 9*
   problem:
    
   Qed