YES

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

Proof:
 String Reversal Processor:
  5(2(x1)) -> 0(1(0(3(3(1(x1))))))
  5(2(x1)) -> 1(0(5(0(2(2(x1))))))
  5(3(x1)) -> 1(0(0(2(3(1(x1))))))
  5(3(x1)) -> 0(3(5(0(2(3(x1))))))
  5(4(x1)) -> 1(2(3(1(2(2(x1))))))
  5(4(x1)) -> 0(0(5(0(2(3(x1))))))
  5(2(1(x1))) -> 4(5(0(5(0(1(x1))))))
  5(2(1(x1))) -> 1(0(1(2(2(1(x1))))))
  5(2(1(x1))) -> 0(1(3(1(0(2(x1))))))
  5(4(1(x1))) -> 1(2(0(4(2(1(x1))))))
  1(5(2(x1))) -> 3(2(1(2(2(2(x1))))))
  2(5(2(x1))) -> 3(3(2(2(0(4(x1))))))
  3(5(2(x1))) -> 3(3(1(4(0(2(x1))))))
  4(5(2(x1))) -> 1(0(1(5(0(2(x1))))))
  5(2(3(x1))) -> 5(0(1(0(2(3(x1))))))
  2(4(3(x1))) -> 2(2(2(0(4(3(x1))))))
  1(5(3(x1))) -> 5(0(0(2(4(0(x1))))))
  1(5(3(x1))) -> 4(3(2(2(4(0(x1))))))
  1(5(3(x1))) -> 1(0(1(4(1(2(x1))))))
  2(5(3(x1))) -> 2(2(2(3(4(0(x1))))))
  2(5(3(x1))) -> 0(3(2(2(0(2(x1))))))
  2(5(3(x1))) -> 2(1(2(3(3(2(x1))))))
  3(5(3(x1))) -> 0(3(3(4(2(0(x1))))))
  3(5(3(x1))) -> 0(3(3(4(5(0(x1))))))
  3(5(3(x1))) -> 2(4(0(4(3(2(x1))))))
  4(5(3(x1))) -> 0(0(5(0(2(0(x1))))))
  4(5(3(x1))) -> 2(1(0(0(5(0(x1))))))
  5(5(3(x1))) -> 5(0(1(4(5(0(x1))))))
  1(5(4(x1))) -> 3(3(5(0(1(2(x1))))))
  2(5(4(x1))) -> 4(0(0(1(5(0(x1))))))
  4(5(4(x1))) -> 2(4(0(1(2(2(x1))))))
  4(5(4(x1))) -> 0(2(3(0(2(3(x1))))))
  3(5(5(x1))) -> 2(2(1(0(1(5(x1))))))
  4(5(5(x1))) -> 2(2(4(0(1(5(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {147,141,138,135,131,127,124,120,116,112,107,102,97,
                   93,89,84,81,75,70,67,63,59,53,49,45,40,35,30,28,24,
                   18,14,8,1}
    transitions:
     f60() -> 2*
     00(65) -> 66*
     00(25) -> 136*
     00(20) -> 21*
     00(15) -> 16*
     00(10) -> 11*
     00(5) -> 6*
     00(132) -> 133*
     00(87) -> 88*
     00(32) -> 33*
     00(22) -> 29*
     00(12) -> 13*
     00(7) -> 1*
     00(2) -> 76*
     00(119) -> 116*
     00(79) -> 80*
     00(54) -> 55*
     00(44) -> 40*
     00(29) -> 28*
     00(9) -> 41*
     00(121) -> 122*
     00(111) -> 107*
     00(106) -> 102*
     00(96) -> 93*
     00(71) -> 72*
     00(46) -> 47*
     00(16) -> 17*
     00(143) -> 144*
     00(133) -> 134*
     00(118) -> 119*
     00(113) -> 114*
     00(108) -> 121*
     00(103) -> 117*
     00(78) -> 79*
     00(68) -> 69*
     00(38) -> 39*
     00(23) -> 18*
     00(3) -> 31*
     00(140) -> 138*
     00(125) -> 126*
     00(85) -> 128*
     10(60) -> 61*
     10(50) -> 51*
     10(10) -> 25*
     10(142) -> 143*
     10(122) -> 123*
     10(37) -> 38*
     10(27) -> 24*
     10(17) -> 14*
     10(2) -> 3*
     10(144) -> 145*
     10(109) -> 125*
     10(64) -> 65*
     10(39) -> 35*
     10(9) -> 85*
     10(86) -> 87*
     10(66) -> 63*
     10(41) -> 42*
     10(21) -> 68*
     10(6) -> 7*
     10(108) -> 132*
     10(88) -> 84*
     10(48) -> 45*
     10(43) -> 44*
     10(13) -> 8*
     10(100) -> 101*
     30(25) -> 26*
     30(82) -> 83*
     30(77) -> 90*
     30(62) -> 59*
     30(57) -> 58*
     30(52) -> 49*
     30(42) -> 43*
     30(22) -> 23*
     30(2) -> 19*
     30(129) -> 130*
     30(109) -> 110*
     30(104) -> 105*
     30(9) -> 98*
     30(4) -> 5*
     30(61) -> 62*
     30(21) -> 139*
     30(98) -> 99*
     30(58) -> 53*
     30(3) -> 4*
     30(130) -> 127*
     30(110) -> 111*
     30(105) -> 106*
     30(95) -> 96*
     50(80) -> 75*
     50(117) -> 118*
     50(2) -> 142*
     50(69) -> 67*
     50(126) -> 124*
     50(76) -> 108*
     50(41) -> 64*
     50(31) -> 32*
     50(21) -> 22*
     50(11) -> 12*
     50(128) -> 129*
     50(33) -> 34*
     20(55) -> 56*
     20(10) -> 50*
     20(137) -> 135*
     20(92) -> 89*
     20(77) -> 78*
     20(72) -> 73*
     20(47) -> 48*
     20(2) -> 9*
     20(149) -> 147*
     20(139) -> 140*
     20(99) -> 100*
     20(94) -> 95*
     20(74) -> 70*
     20(19) -> 20*
     20(9) -> 10*
     20(4) -> 15*
     20(146) -> 141*
     20(101) -> 97*
     20(91) -> 92*
     20(76) -> 103*
     20(56) -> 57*
     20(51) -> 52*
     20(41) -> 94*
     20(36) -> 37*
     20(26) -> 27*
     20(148) -> 149*
     20(123) -> 120*
     20(78) -> 82*
     20(73) -> 74*
     20(3) -> 36*
     20(145) -> 146*
     20(115) -> 112*
     20(90) -> 91*
     40(2) -> 54*
     40(144) -> 148*
     40(134) -> 131*
     40(114) -> 115*
     40(34) -> 30*
     40(19) -> 71*
     40(136) -> 137*
     40(76) -> 77*
     40(41) -> 60*
     40(36) -> 46*
     40(108) -> 109*
     40(103) -> 104*
     40(98) -> 113*
     40(83) -> 81*
     40(85) -> 86*
     21(154) -> 155*
     21(153) -> 154*
     21(155) -> 156*
     01(152) -> 153*
     41(151) -> 152*
     31(150) -> 151*
     1 -> 142*
     8 -> 142*
     14 -> 142*
     18 -> 142*
     24 -> 142*
     28 -> 142*
     30 -> 142*
     35 -> 142*
     40 -> 142*
     45 -> 142*
     49 -> 3,143
     53 -> 9*
     59 -> 19*
     63 -> 54*
     67 -> 142*
     70 -> 9*
     75 -> 3,143
     81 -> 3,143
     82 -> 150*
     84 -> 3,143
     89 -> 9*
     93 -> 9*
     97 -> 9*
     102 -> 19*
     107 -> 19*
     112 -> 19*
     116 -> 54*
     120 -> 54*
     124 -> 142*
     127 -> 3,143
     131 -> 9*
     135 -> 54*
     138 -> 54*
     141 -> 19*
     147 -> 54*
     156 -> 36*
   problem:
    
   Qed