YES

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

Proof:
 String Reversal Processor:
  2(1(0(x1))) -> 1(1(2(0(x1))))
  2(1(0(x1))) -> 3(1(2(0(x1))))
  2(1(0(x1))) -> 3(1(1(2(0(x1)))))
  2(1(0(x1))) -> 1(1(4(2(0(x1)))))
  2(1(0(x1))) -> 3(1(4(2(0(x1)))))
  2(3(0(x1))) -> 3(1(2(0(x1))))
  2(3(0(x1))) -> 3(1(1(2(0(x1)))))
  2(3(0(x1))) -> 3(1(1(2(0(0(x1))))))
  2(1(1(0(x1)))) -> 3(1(1(2(0(x1)))))
  2(2(1(0(x1)))) -> 1(1(2(2(0(x1)))))
  2(2(1(0(x1)))) -> 1(2(3(2(0(x1)))))
  2(3(1(0(x1)))) -> 3(4(1(2(0(x1)))))
  2(3(1(0(x1)))) -> 1(2(0(3(3(x1)))))
  2(3(1(0(x1)))) -> 1(1(4(2(0(3(x1))))))
  2(5(1(0(x1)))) -> 1(1(2(0(5(x1)))))
  2(2(3(0(x1)))) -> 2(3(2(0(0(x1)))))
  2(2(3(0(x1)))) -> 2(3(2(4(0(0(x1))))))
  2(3(0(2(x1)))) -> 2(2(0(3(1(x1)))))
  2(3(0(3(x1)))) -> 3(2(0(0(0(3(x1))))))
  2(5(1(3(x1)))) -> 3(5(1(2(0(x1)))))
  2(5(3(3(x1)))) -> 3(5(1(2(0(3(x1))))))
  2(2(5(4(x1)))) -> 1(4(2(0(5(2(x1))))))
  2(1(0(5(x1)))) -> 5(4(3(1(2(0(x1))))))
  2(2(0(5(x1)))) -> 5(1(4(2(0(2(x1))))))
  2(3(0(5(x1)))) -> 5(4(1(2(0(3(x1))))))
  2(2(1(5(x1)))) -> 1(2(5(1(2(0(x1))))))
  2(2(1(5(x1)))) -> 1(1(2(5(1(2(x1))))))
  2(4(2(1(0(x1))))) -> 1(2(0(1(2(4(x1))))))
  2(5(2(1(0(x1))))) -> 4(5(1(2(0(2(x1))))))
  2(1(5(1(0(x1))))) -> 5(1(1(2(0(1(x1))))))
  2(5(5(1(0(x1))))) -> 1(5(5(1(2(0(x1))))))
  2(1(0(5(0(x1))))) -> 1(2(0(5(4(0(x1))))))
  2(3(0(5(0(x1))))) -> 3(2(0(0(5(0(x1))))))
  2(2(5(5(0(x1))))) -> 2(5(5(1(2(0(x1))))))
  2(1(3(0(3(x1))))) -> 3(2(0(3(3(1(x1))))))
  2(4(3(0(3(x1))))) -> 3(2(0(4(3(1(x1))))))
  2(4(1(5(4(x1))))) -> 5(1(4(4(4(2(x1))))))
  2(3(1(0(5(x1))))) -> 3(1(2(0(5(3(x1))))))
  2(1(3(0(5(x1))))) -> 5(3(4(1(2(0(x1))))))
  2(2(4(0(5(x1))))) -> 5(1(4(2(0(2(x1))))))
  2(3(0(1(5(x1))))) -> 2(1(5(3(4(0(x1))))))
  2(3(0(1(5(x1))))) -> 2(0(1(1(3(5(x1))))))
  2(5(0(1(5(x1))))) -> 1(2(0(5(5(3(x1))))))
  2(5(0(1(5(x1))))) -> 5(5(1(2(0(5(x1))))))
  2(3(0(2(5(x1))))) -> 1(3(2(5(2(0(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {143,141,137,132,128,127,122,117,113,109,108,103,98,
                   96,91,88,82,77,75,73,68,66,60,57,55,51,46,42,40,35,
                   30,25,23,20,17,12,11,8,7,6,1}
    transitions:
     31(151) -> 152*
     51(150) -> 151*
     11(149) -> 150*
     21(148) -> 149*
     01(187) -> 188*
     01(177) -> 178*
     01(147) -> 148*
     01(199) -> 200*
     01(169) -> 170*
     01(159) -> 160*
     01(181) -> 182*
     01(193) -> 194*
     01(173) -> 174*
     01(195) -> 196*
     01(185) -> 186*
     01(165) -> 166*
     f60() -> 2*
     10(70) -> 89*
     10(65) -> 60*
     10(15) -> 16*
     10(10) -> 8*
     10(5) -> 1*
     10(102) -> 98*
     10(97) -> 96*
     10(87) -> 82*
     10(32) -> 58*
     10(22) -> 20*
     10(2) -> 47*
     10(134) -> 135*
     10(94) -> 95*
     10(84) -> 85*
     10(39) -> 35*
     10(34) -> 30*
     10(29) -> 25*
     10(19) -> 17*
     10(14) -> 15*
     10(9) -> 10*
     10(4) -> 5*
     10(146) -> 143*
     10(81) -> 77*
     10(76) -> 75*
     10(71) -> 72*
     10(61) -> 78*
     10(133) -> 134*
     10(93) -> 94*
     10(38) -> 39*
     10(33) -> 34*
     10(18) -> 19*
     10(140) -> 137*
     10(130) -> 131*
     10(125) -> 126*
     10(120) -> 121*
     10(80) -> 81*
     20(50) -> 46*
     20(45) -> 42*
     20(97) -> 108*
     20(92) -> 93*
     20(37) -> 38*
     20(2) -> 61*
     20(144) -> 145*
     20(139) -> 140*
     20(124) -> 125*
     20(79) -> 80*
     20(69) -> 70*
     20(49) -> 50*
     20(4) -> 18*
     20(136) -> 132*
     20(131) -> 128*
     20(111) -> 112*
     20(106) -> 107*
     20(101) -> 102*
     20(86) -> 87*
     20(56) -> 76*
     20(41) -> 40*
     20(31) -> 32*
     20(21) -> 22*
     20(83) -> 84*
     20(63) -> 64*
     20(53) -> 54*
     20(43) -> 44*
     20(28) -> 29*
     20(13) -> 14*
     20(3) -> 4*
     20(115) -> 116*
     00(62) -> 63*
     00(52) -> 53*
     00(47) -> 92*
     00(27) -> 28*
     00(2) -> 3*
     00(114) -> 115*
     00(104) -> 105*
     00(61) -> 69*
     00(36) -> 37*
     00(31) -> 52*
     00(26) -> 31*
     00(138) -> 139*
     00(123) -> 124*
     00(48) -> 49*
     00(3) -> 13*
     00(135) -> 136*
     00(110) -> 111*
     00(105) -> 106*
     00(100) -> 101*
     00(85) -> 86*
     30(10) -> 11*
     30(5) -> 6*
     30(112) -> 109*
     30(107) -> 103*
     30(47) -> 48*
     30(2) -> 26*
     30(99) -> 129*
     30(59) -> 57*
     30(54) -> 51*
     30(44) -> 45*
     30(24) -> 23*
     30(14) -> 41*
     30(4) -> 21*
     30(126) -> 122*
     30(116) -> 113*
     30(56) -> 55*
     30(36) -> 133*
     30(26) -> 27*
     30(16) -> 12*
     30(1) -> 7*
     30(48) -> 110*
     30(145) -> 146*
     40(70) -> 71*
     40(5) -> 24*
     40(32) -> 33*
     40(2) -> 83*
     40(119) -> 120*
     40(64) -> 65*
     40(4) -> 9*
     40(61) -> 118*
     40(6) -> 67*
     40(118) -> 119*
     40(58) -> 74*
     40(48) -> 114*
     40(13) -> 43*
     40(3) -> 99*
     40(90) -> 88*
     50(5) -> 56*
     50(142) -> 141*
     50(72) -> 68*
     50(67) -> 66*
     50(2) -> 36*
     50(129) -> 130*
     50(99) -> 100*
     50(89) -> 90*
     50(74) -> 73*
     50(39) -> 142*
     50(4) -> 144*
     50(121) -> 117*
     50(61) -> 62*
     50(56) -> 97*
     50(26) -> 123*
     50(123) -> 138*
     50(78) -> 79*
     50(58) -> 59*
     50(23) -> 127*
     50(3) -> 104*
     50(95) -> 91*
     1 -> 159,61
     5 -> 147*
     6 -> 61*
     7 -> 61*
     8 -> 61*
     10 -> 165*
     11 -> 61*
     12 -> 61*
     16 -> 169*
     17 -> 61*
     20 -> 61*
     23 -> 61*
     24 -> 173*
     25 -> 61*
     30 -> 61*
     35 -> 61*
     40 -> 61*
     42 -> 61*
     46 -> 61*
     51 -> 61*
     54 -> 177*
     55 -> 61*
     56 -> 181*
     57 -> 61*
     59 -> 185*
     60 -> 61*
     62 -> 61*
     66 -> 61*
     68 -> 61,18
     73 -> 61*
     75 -> 61*
     77 -> 61*
     82 -> 61,84
     88 -> 61*
     91 -> 61*
     96 -> 61*
     98 -> 61*
     103 -> 61*
     107 -> 187*
     108 -> 61*
     109 -> 61*
     112 -> 193*
     113 -> 61,84
     116 -> 195*
     117 -> 61,84
     122 -> 61*
     126 -> 199*
     128 -> 61*
     132 -> 61*
     137 -> 61*
     141 -> 61*
     143 -> 61*
     152 -> 80*
     160 -> 148*
     166 -> 148*
     170 -> 148*
     174 -> 148*
     178 -> 148*
     182 -> 148*
     186 -> 148*
     188 -> 148*
     194 -> 148*
     196 -> 148*
     200 -> 148*
   problem:
    
   Qed