YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {143,139,137,134,132,130,129,125,123,122,121,120,119,
                  118,117,115,114,111,109,107,106,104,103,100,96,93,92,
                  90,89,85,84,83,81,77,73,70,67,65,62,60,57,54,50,47,
                  43,38,35,31,27,22,17,12,11,10,6,1}
   transitions:
    41(195) -> 196*
    41(150) -> 151*
    41(159) -> 160*
    41(177) -> 178*
    41(207) -> 208*
    11(192) -> 193*
    11(158) -> 159*
    11(204) -> 205*
    11(211) -> 212*
    11(157) -> 158*
    11(191) -> 192*
    11(203) -> 204*
    11(147) -> 148*
    11(213) -> 214*
    11(193) -> 194*
    11(205) -> 206*
    11(148) -> 149*
    00(69) -> 67*
    00(72) -> 70*
    00(13) -> 74*
    00(5) -> 1*
    00(58) -> 59*
    00(59) -> 57*
    00(16) -> 12*
    00(44) -> 45*
    00(41) -> 42*
    00(39) -> 97*
    00(20) -> 21*
    00(42) -> 38*
    00(29) -> 61*
    00(66) -> 65*
    00(53) -> 50*
    00(6) -> 11*
    00(135) -> 136*
    00(74) -> 94*
    00(37) -> 35*
    00(26) -> 22*
    00(61) -> 60*
    00(63) -> 64*
    00(21) -> 17*
    00(71) -> 72*
    00(55) -> 133*
    00(36) -> 116*
    00(30) -> 27*
    00(64) -> 62*
    00(48) -> 49*
    00(9) -> 6*
    00(56) -> 54*
    00(46) -> 43*
    00(18) -> 32*
    00(2) -> 13*
    f60() -> 2*
    50(39) -> 51*
    50(136) -> 134*
    50(13) -> 140*
    50(124) -> 123*
    50(2) -> 18*
    50(49) -> 121*
    50(4) -> 55*
    50(74) -> 75*
    50(6) -> 92*
    50(68) -> 69*
    50(72) -> 120*
    50(16) -> 122*
    50(48) -> 131*
    50(131) -> 130*
    50(146) -> 143*
    50(138) -> 137*
    40(113) -> 119*
    40(2) -> 39*
    40(91) -> 90*
    40(68) -> 138*
    40(45) -> 46*
    40(49) -> 47*
    40(116) -> 115*
    40(10) -> 89*
    40(13) -> 144*
    40(4) -> 71*
    40(128) -> 125*
    40(36) -> 37*
    40(53) -> 129*
    40(88) -> 118*
    40(5) -> 10*
    40(82) -> 81*
    40(142) -> 139*
    20(68) -> 91*
    20(4) -> 5*
    20(2) -> 23*
    20(10) -> 84*
    20(133) -> 132*
    20(15) -> 66*
    20(80) -> 77*
    20(25) -> 26*
    20(40) -> 41*
    20(3) -> 44*
    20(28) -> 58*
    20(29) -> 30*
    20(36) -> 82*
    20(88) -> 85*
    20(55) -> 56*
    20(6) -> 83*
    20(112) -> 113*
    20(34) -> 31*
    20(8) -> 9*
    20(19) -> 135*
    20(37) -> 117*
    20(76) -> 73*
    30(5) -> 105*
    30(3) -> 28*
    30(53) -> 114*
    30(39) -> 86*
    30(13) -> 14*
    30(23) -> 78*
    30(18) -> 126*
    30(99) -> 96*
    30(36) -> 124*
    30(8) -> 63*
    30(4) -> 68*
    30(16) -> 103*
    30(110) -> 109*
    30(113) -> 111*
    30(102) -> 100*
    30(74) -> 101*
    30(95) -> 93*
    30(45) -> 108*
    30(82) -> 106*
    30(2) -> 7*
    10(23) -> 24*
    10(2) -> 3*
    10(40) -> 112*
    10(14) -> 15*
    10(28) -> 29*
    10(4) -> 36*
    10(97) -> 98*
    10(126) -> 127*
    10(39) -> 40*
    10(101) -> 102*
    10(15) -> 16*
    10(75) -> 76*
    10(145) -> 146*
    10(94) -> 95*
    10(79) -> 80*
    10(18) -> 19*
    10(108) -> 107*
    10(140) -> 141*
    10(52) -> 53*
    10(87) -> 88*
    10(8) -> 48*
    10(24) -> 25*
    10(32) -> 33*
    10(98) -> 99*
    10(45) -> 110*
    10(33) -> 34*
    10(86) -> 87*
    10(7) -> 8*
    10(3) -> 4*
    10(105) -> 104*
    10(144) -> 145*
    10(141) -> 142*
    10(127) -> 128*
    10(78) -> 79*
    10(19) -> 20*
    10(51) -> 52*
    51(181) -> 182*
    51(171) -> 172*
    01(178) -> 179*
    01(179) -> 180*
    01(161) -> 162*
    01(160) -> 161*
    21(194) -> 195*
    21(149) -> 150*
    21(206) -> 207*
    196 -> 41*
    151 -> 117*
    70 -> 13,97
    27 -> 13*
    43 -> 13*
    92 -> 23*
    132 -> 18*
    47 -> 13*
    17 -> 13*
    83 -> 23*
    115 -> 39*
    35 -> 13*
    162 -> 74*
    137 -> 18*
    182 -> 51*
    100 -> 7,14
    104 -> 7,28
    77 -> 23,44
    85 -> 23,58
    12 -> 13*
    93 -> 7,14
    114 -> 7,126
    106 -> 7,28
    212 -> 204*
    118 -> 39*
    4 -> 147*
    11 -> 13*
    180 -> 97*
    117 -> 39*
    143 -> 18,51
    67 -> 13*
    22 -> 13*
    52 -> 211*
    54 -> 23,13
    109 -> 7,78
    6 -> 13*
    121 -> 18*
    172 -> 140*
    141 -> 213*
    161 -> 171*
    208 -> 135*
    38 -> 13*
    125 -> 18*
    179 -> 181*
    73 -> 13,32
    139 -> 18,51
    60 -> 13*
    127 -> 203*
    8 -> 157*
    123 -> 18*
    1 -> 13*
    31 -> 13*
    62 -> 13*
    107 -> 7,78
    90 -> 23*
    130 -> 18*
    65 -> 13*
    134 -> 18*
    57 -> 13*
    50 -> 13*
    120 -> 18,51,39
    122 -> 18*
    119 -> 39*
    149 -> 177*
    84 -> 23*
    129 -> 18*
    96 -> 7,14
    10 -> 23*
    214 -> 204*
    103 -> 7,28
    87 -> 191*
    81 -> 23,44,41
    89 -> 39,23
    111 -> 7,86
  problem:
   
  Qed