YES

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

Proof:
 String Reversal Processor:
  2(0(1(0(x1)))) -> 2(1(3(0(0(x1)))))
  4(3(1(0(x1)))) -> 3(0(1(4(0(x1)))))
  4(3(1(0(x1)))) -> 3(1(1(4(0(x1)))))
  4(3(1(0(x1)))) -> 1(3(1(4(0(x1)))))
  4(1(2(0(x1)))) -> 3(2(1(4(0(x1)))))
  4(1(2(0(x1)))) -> 2(3(1(4(0(x1)))))
  4(1(2(0(x1)))) -> 4(1(4(0(2(x1)))))
  4(1(2(0(x1)))) -> 2(1(4(0(5(5(x1))))))
  5(1(2(0(x1)))) -> 2(1(4(0(5(x1)))))
  4(2(2(0(x1)))) -> 5(2(2(4(0(x1)))))
  4(2(2(0(x1)))) -> 2(5(2(4(0(x1)))))
  2(0(4(3(x1)))) -> 2(5(4(0(3(x1)))))
  2(0(4(3(x1)))) -> 2(4(0(5(3(x1)))))
  5(4(1(0(0(x1))))) -> 5(3(0(1(4(0(x1))))))
  4(2(0(1(0(x1))))) -> 1(1(4(0(0(2(x1))))))
  4(3(2(1(0(x1))))) -> 3(0(1(4(0(2(x1))))))
  4(3(3(1(0(x1))))) -> 4(3(1(3(0(0(x1))))))
  2(0(4(1(0(x1))))) -> 2(0(5(1(4(0(x1))))))
  5(1(4(1(0(x1))))) -> 1(1(4(0(5(2(x1))))))
  4(3(4(1(0(x1))))) -> 4(1(3(0(4(0(x1))))))
  4(3(4(1(0(x1))))) -> 4(5(1(4(0(3(x1))))))
  5(3(4(1(0(x1))))) -> 1(3(0(5(4(5(x1))))))
  2(0(5(1(0(x1))))) -> 5(2(1(4(0(0(x1))))))
  4(1(5(1(0(x1))))) -> 1(1(3(0(5(4(x1))))))
  4(4(1(2(0(x1))))) -> 3(4(2(1(4(0(x1))))))
  5(4(1(2(0(x1))))) -> 2(5(2(1(4(0(x1))))))
  4(5(1(2(0(x1))))) -> 1(4(0(2(0(5(x1))))))
  5(1(4(2(0(x1))))) -> 2(5(1(4(0(5(x1))))))
  5(3(4(2(0(x1))))) -> 3(5(2(5(4(0(x1))))))
  4(1(5(2(0(x1))))) -> 2(1(4(5(0(0(x1))))))
  2(3(1(0(3(x1))))) -> 2(3(0(1(3(0(x1))))))
  4(1(2(0(3(x1))))) -> 2(3(1(4(0(4(x1))))))
  5(1(2(0(3(x1))))) -> 1(4(0(2(3(5(x1))))))
  2(0(4(0(3(x1))))) -> 2(4(0(4(3(0(x1))))))
  2(0(4(0(3(x1))))) -> 3(0(2(1(4(0(x1))))))
  4(1(5(0(3(x1))))) -> 5(1(1(4(0(3(x1))))))
  5(1(5(0(3(x1))))) -> 5(5(3(1(4(0(x1))))))
  2(1(4(2(3(x1))))) -> 4(5(2(2(1(3(x1))))))
  5(1(4(2(3(x1))))) -> 5(2(5(4(1(3(x1))))))
  2(1(0(4(3(x1))))) -> 1(3(0(2(4(0(x1))))))
  4(1(0(4(3(x1))))) -> 4(3(5(1(4(0(x1))))))
  5(1(0(4(3(x1))))) -> 3(5(5(1(4(0(x1))))))
  4(2(0(4(3(x1))))) -> 2(4(0(4(3(0(x1))))))
  4(2(1(4(3(x1))))) -> 3(4(2(1(4(0(x1))))))
  5(3(1(4(3(x1))))) -> 5(1(3(0(3(4(x1))))))
  2(0(3(4(3(x1))))) -> 2(1(4(0(3(3(x1))))))
  2(0(5(4(3(x1))))) -> 5(2(4(0(3(0(x1))))))
  2(2(0(5(3(x1))))) -> 5(2(5(2(3(0(x1))))))
  4(1(2(5(3(x1))))) -> 2(4(0(1(5(3(x1))))))
  Bounds Processor:
   bound: 0
   enrichment: match
   automaton:
    final states: {163,159,155,150,145,143,141,138,134,129,127,125,123,
                   119,114,109,104,100,96,94,90,88,86,80,76,71,68,64,
                   59,56,54,52,48,47,43,38,36,33,29,23,18,17,15,13,11,
                   7,1}
    transitions:
     20(122) -> 119*
     20(115) -> 116*
     20(58) -> 56*
     20(78) -> 79*
     20(34) -> 35*
     20(108) -> 104*
     20(154) -> 150*
     20(97) -> 98*
     20(42) -> 38*
     20(103) -> 100*
     20(130) -> 131*
     20(161) -> 162*
     20(32) -> 29*
     20(136) -> 137*
     20(14) -> 17*
     20(6) -> 1*
     20(89) -> 88*
     20(37) -> 36*
     20(8) -> 34*
     20(131) -> 132*
     20(30) -> 91*
     20(113) -> 109*
     20(166) -> 163*
     20(95) -> 94*
     20(105) -> 160*
     20(9) -> 16*
     20(28) -> 23*
     20(46) -> 43*
     20(157) -> 158*
     20(2) -> 19*
     f60() -> 2*
     50(160) -> 161*
     50(57) -> 144*
     50(81) -> 82*
     50(158) -> 155*
     50(39) -> 44*
     50(149) -> 145*
     50(8) -> 97*
     50(35) -> 33*
     50(41) -> 42*
     50(2) -> 24*
     50(162) -> 159*
     50(14) -> 128*
     50(4) -> 101*
     50(126) -> 125*
     50(69) -> 70*
     50(9) -> 57*
     50(32) -> 95*
     50(7) -> 47*
     50(98) -> 99*
     50(19) -> 60*
     50(34) -> 37*
     50(24) -> 25*
     50(128) -> 127*
     50(79) -> 76*
     50(72) -> 73*
     50(137) -> 134*
     50(16) -> 89*
     50(135) -> 136*
     50(132) -> 133*
     40(2) -> 81*
     40(105) -> 120*
     40(55) -> 54*
     40(130) -> 135*
     40(45) -> 46*
     40(24) -> 72*
     40(121) -> 122*
     40(110) -> 111*
     40(70) -> 68*
     40(133) -> 129*
     40(30) -> 31*
     40(165) -> 166*
     40(3) -> 8*
     40(16) -> 87*
     40(40) -> 41*
     40(49) -> 50*
     40(156) -> 157*
     40(67) -> 64*
     40(20) -> 21*
     40(92) -> 93*
     40(22) -> 18*
     40(4) -> 77*
     40(26) -> 27*
     40(152) -> 153*
     40(117) -> 118*
     40(61) -> 62*
     40(142) -> 141*
     40(101) -> 102*
     10(66) -> 67*
     10(39) -> 130*
     10(44) -> 164*
     10(153) -> 154*
     10(93) -> 90*
     10(5) -> 6*
     10(62) -> 63*
     10(31) -> 32*
     10(21) -> 22*
     10(27) -> 28*
     10(102) -> 103*
     10(50) -> 51*
     10(9) -> 12*
     10(111) -> 112*
     10(140) -> 138*
     10(69) -> 126*
     10(75) -> 71*
     10(77) -> 78*
     10(105) -> 106*
     10(84) -> 85*
     10(8) -> 9*
     10(51) -> 48*
     10(118) -> 114*
     10(85) -> 80*
     10(63) -> 59*
     10(14) -> 13*
     10(41) -> 69*
     10(148) -> 149*
     00(151) -> 152*
     00(22) -> 53*
     00(81) -> 110*
     00(3) -> 4*
     00(146) -> 147*
     00(39) -> 40*
     00(116) -> 117*
     00(57) -> 58*
     00(9) -> 10*
     00(105) -> 156*
     00(106) -> 107*
     00(60) -> 61*
     00(91) -> 92*
     00(8) -> 65*
     00(164) -> 165*
     00(34) -> 139*
     00(24) -> 30*
     00(16) -> 124*
     00(44) -> 45*
     00(19) -> 20*
     00(120) -> 121*
     00(82) -> 83*
     00(25) -> 26*
     00(2) -> 3*
     00(20) -> 49*
     00(73) -> 74*
     30(12) -> 11*
     30(147) -> 148*
     30(57) -> 142*
     30(2) -> 39*
     30(139) -> 140*
     30(124) -> 123*
     30(4) -> 5*
     30(10) -> 7*
     30(107) -> 108*
     30(81) -> 146*
     30(39) -> 151*
     30(6) -> 55*
     30(99) -> 96*
     30(83) -> 84*
     30(9) -> 14*
     30(87) -> 86*
     30(24) -> 115*
     30(3) -> 105*
     30(112) -> 113*
     30(144) -> 143*
     30(53) -> 52*
     30(65) -> 66*
     30(16) -> 15*
     30(74) -> 75*
     94 -> 24*
     155 -> 19,91
     56 -> 19*
     163 -> 81*
     43 -> 19*
     159 -> 19*
     68 -> 81*
     47 -> 24*
     17 -> 81*
     48 -> 81*
     64 -> 81*
     7 -> 81*
     100 -> 81*
     104 -> 19*
     114 -> 24*
     11 -> 81*
     143 -> 24*
     52 -> 81*
     54 -> 81*
     88 -> 24,82
     109 -> 81*
     150 -> 19*
     138 -> 19*
     141 -> 81*
     36 -> 81*
     86 -> 81*
     38 -> 19*
     76 -> 19,91
     125 -> 81*
     13 -> 81*
     127 -> 24*
     71 -> 24,44
     123 -> 19*
     1 -> 19*
     90 -> 81,72
     59 -> 24*
     134 -> 24*
     18 -> 81*
     145 -> 24,44
     119 -> 81,19
     129 -> 19*
     96 -> 24,44
     15 -> 81*
     80 -> 81*
     29 -> 24*
     23 -> 81*
     33 -> 81*
   problem:
    
   Qed