YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {165,160,156,153,150,146,141,136,132,127,122,121,117,
                  114,110,108,105,101,98,93,88,84,79,75,71,70,68,64,60,
                  59,34,56,55,52,46,42,38,35,31,28,24,21,16,10,6,1}
   transitions:
    11(206) -> 207*
    11(226) -> 227*
    11(242) -> 243*
    11(234) -> 235*
    11(230) -> 231*
    11(168) -> 169*
    11(236) -> 237*
    11(191) -> 192*
    11(219) -> 220*
    11(248) -> 249*
    11(183) -> 184*
    11(246) -> 247*
    31(190) -> 191*
    31(205) -> 206*
    00(47) -> 128*
    00(72) -> 154*
    00(13) -> 55*
    00(77) -> 78*
    00(145) -> 141*
    00(5) -> 1*
    00(58) -> 56*
    00(109) -> 121*
    00(78) -> 75*
    00(41) -> 38*
    00(34) -> 31*
    00(60) -> 109*
    00(97) -> 93*
    00(126) -> 122*
    00(120) -> 117*
    00(20) -> 16*
    00(85) -> 86*
    00(45) -> 42*
    00(15) -> 10*
    00(33) -> 34*
    00(112) -> 113*
    00(23) -> 21*
    00(140) -> 136*
    00(100) -> 98*
    00(14) -> 15*
    00(135) -> 132*
    00(17) -> 89*
    00(74) -> 71*
    00(104) -> 101*
    00(37) -> 35*
    00(4) -> 5*
    00(107) -> 105*
    00(152) -> 150*
    00(30) -> 28*
    00(80) -> 81*
    00(67) -> 64*
    00(128) -> 129*
    00(9) -> 6*
    00(149) -> 146*
    00(51) -> 46*
    00(163) -> 164*
    00(157) -> 158*
    00(2) -> 17*
    f60() -> 2*
    50(39) -> 106*
    50(47) -> 48*
    50(115) -> 116*
    50(1) -> 70*
    50(143) -> 144*
    50(3) -> 161*
    50(2) -> 47*
    50(66) -> 151*
    50(167) -> 165*
    50(11) -> 94*
    50(5) -> 59*
    50(133) -> 134*
    50(61) -> 62*
    50(7) -> 102*
    50(19) -> 99*
    50(118) -> 119*
    50(166) -> 167*
    40(2) -> 11*
    40(85) -> 147*
    40(18) -> 25*
    40(138) -> 139*
    40(95) -> 96*
    40(81) -> 82*
    40(102) -> 103*
    40(48) -> 49*
    40(72) -> 73*
    40(89) -> 90*
    40(39) -> 40*
    40(90) -> 91*
    40(7) -> 32*
    40(4) -> 76*
    40(11) -> 12*
    40(124) -> 125*
    40(53) -> 54*
    40(63) -> 69*
    40(86) -> 87*
    40(47) -> 111*
    40(17) -> 18*
    40(25) -> 26*
    40(19) -> 53*
    20(66) -> 67*
    20(39) -> 115*
    20(44) -> 45*
    20(2) -> 61*
    20(17) -> 123*
    20(119) -> 120*
    20(103) -> 104*
    20(62) -> 157*
    20(13) -> 14*
    20(72) -> 166*
    20(61) -> 80*
    20(162) -> 163*
    20(50) -> 51*
    20(54) -> 52*
    20(116) -> 114*
    20(57) -> 58*
    20(113) -> 110*
    20(164) -> 160*
    20(139) -> 140*
    20(40) -> 41*
    20(47) -> 85*
    20(3) -> 4*
    20(29) -> 30*
    20(36) -> 37*
    20(109) -> 108*
    20(131) -> 127*
    20(92) -> 88*
    20(155) -> 153*
    20(134) -> 135*
    20(32) -> 33*
    20(11) -> 118*
    20(8) -> 9*
    20(142) -> 143*
    20(144) -> 145*
    20(151) -> 152*
    20(106) -> 107*
    30(7) -> 39*
    30(158) -> 159*
    30(94) -> 95*
    30(29) -> 43*
    30(130) -> 131*
    30(49) -> 50*
    30(62) -> 63*
    30(18) -> 19*
    30(11) -> 29*
    30(123) -> 124*
    30(91) -> 92*
    30(47) -> 65*
    30(12) -> 22*
    30(76) -> 77*
    30(147) -> 148*
    30(26) -> 27*
    30(82) -> 83*
    30(2) -> 7*
    10(12) -> 13*
    10(69) -> 68*
    10(154) -> 155*
    10(2) -> 3*
    10(22) -> 23*
    10(47) -> 137*
    10(43) -> 44*
    10(63) -> 60*
    10(161) -> 162*
    10(39) -> 133*
    10(148) -> 149*
    10(96) -> 97*
    10(27) -> 24*
    10(99) -> 100*
    10(83) -> 79*
    10(111) -> 112*
    10(29) -> 72*
    10(159) -> 156*
    10(87) -> 84*
    10(61) -> 142*
    10(32) -> 36*
    10(125) -> 126*
    10(129) -> 130*
    10(7) -> 8*
    10(73) -> 74*
    10(11) -> 57*
    10(19) -> 20*
    10(65) -> 66*
    10(137) -> 138*
    51(189) -> 190*
    51(171) -> 172*
    51(186) -> 187*
    51(204) -> 205*
    51(222) -> 223*
    01(170) -> 171*
    01(208) -> 209*
    01(185) -> 186*
    01(221) -> 222*
    21(207) -> 208*
    21(184) -> 185*
    21(169) -> 170*
    21(188) -> 189*
    21(220) -> 221*
    41(210) -> 211*
    247 -> 169*
    156 -> 61,80
    192 -> 127*
    191 -> 210*
    56 -> 17*
    70 -> 17*
    19 -> 219*
    24 -> 17*
    132 -> 17*
    148 -> 248*
    68 -> 61*
    160 -> 61,80
    231 -> 220*
    35 -> 17*
    46 -> 17*
    64 -> 61*
    42 -> 17*
    12 -> 230*
    63 -> 168*
    93 -> 17,128
    114 -> 61,85
    16 -> 17*
    28 -> 17*
    117 -> 61,85
    249 -> 169*
    237 -> 220*
    105 -> 17,128
    75 -> 17*
    22 -> 226*
    52 -> 17*
    88 -> 17*
    153 -> 61,123
    6 -> 17*
    121 -> 17,89
    172 -> 108*
    150 -> 17,128
    141 -> 17,128
    21 -> 17*
    79 -> 17*
    235 -> 220*
    38 -> 17*
    125 -> 246*
    73 -> 234*
    60 -> 61*
    101 -> 17,128
    127 -> 17*
    165 -> 61,85
    71 -> 17*
    1 -> 17*
    31 -> 17*
    99 -> 242*
    243 -> 220*
    55 -> 17*
    34 -> 17*
    110 -> 61,123
    59 -> 61,123
    209 -> 127*
    108 -> 61,123
    146 -> 17,128
    187 -> 110*
    227 -> 220*
    122 -> 17*
    211 -> 191*
    136 -> 17,128
    84 -> 17*
    129 -> 204,188
    96 -> 236*
    10 -> 17*
    98 -> 17,128
    111 -> 183*
    223 -> 123*
  problem:
   
  Qed