YES

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

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {179,175,171,167,163,159,158,153,149,145,140,136,131,
                  128,126,122,118,116,115,110,106,101,96,93,90,86,84,
                  81,77,74,71,70,65,61,58,53,49,46,42,38,34,28,24,20,
                  17,15,10,6,1}
   transitions:
    40(2) -> 29*
    40(178) -> 175*
    40(12) -> 13*
    40(104) -> 105*
    40(68) -> 69*
    40(37) -> 82*
    40(114) -> 110*
    40(173) -> 174*
    40(32) -> 33*
    40(62) -> 119*
    40(165) -> 166*
    40(35) -> 43*
    40(155) -> 156*
    40(15) -> 158*
    40(139) -> 136*
    40(181) -> 182*
    40(36) -> 87*
    40(60) -> 58*
    40(66) -> 67*
    40(11) -> 141*
    40(169) -> 170*
    40(129) -> 130*
    40(98) -> 99*
    40(5) -> 117*
    40(97) -> 98*
    40(142) -> 143*
    40(47) -> 59*
    40(8) -> 21*
    40(25) -> 26*
    40(29) -> 123*
    00(168) -> 169*
    00(47) -> 48*
    00(88) -> 89*
    00(5) -> 1*
    00(109) -> 106*
    00(59) -> 60*
    00(16) -> 15*
    00(44) -> 75*
    00(41) -> 38*
    00(57) -> 53*
    00(183) -> 179*
    00(75) -> 127*
    00(45) -> 42*
    00(52) -> 49*
    00(27) -> 24*
    00(29) -> 30*
    00(161) -> 162*
    00(23) -> 20*
    00(100) -> 96*
    00(14) -> 10*
    00(124) -> 125*
    00(8) -> 9*
    00(92) -> 90*
    00(107) -> 129*
    00(55) -> 85*
    00(152) -> 149*
    00(36) -> 37*
    00(113) -> 114*
    00(166) -> 163*
    00(67) -> 172*
    00(64) -> 61*
    00(54) -> 150*
    00(18) -> 19*
    00(2) -> 3*
    30(35) -> 132*
    30(151) -> 152*
    30(5) -> 16*
    30(30) -> 31*
    30(127) -> 126*
    30(43) -> 50*
    30(75) -> 115*
    30(3) -> 154*
    30(121) -> 118*
    30(66) -> 146*
    30(62) -> 160*
    30(107) -> 108*
    30(156) -> 157*
    30(56) -> 57*
    30(54) -> 55*
    30(36) -> 164*
    30(11) -> 97*
    30(8) -> 18*
    30(83) -> 81*
    30(37) -> 34*
    30(87) -> 88*
    30(48) -> 46*
    30(44) -> 45*
    30(102) -> 103*
    30(21) -> 22*
    30(132) -> 176*
    30(2) -> 7*
    10(54) -> 78*
    10(69) -> 65*
    10(2) -> 35*
    10(22) -> 23*
    10(43) -> 72*
    10(76) -> 74*
    10(39) -> 40*
    10(62) -> 63*
    10(94) -> 95*
    10(99) -> 100*
    10(82) -> 83*
    10(9) -> 6*
    10(111) -> 112*
    10(29) -> 39*
    10(89) -> 86*
    10(135) -> 131*
    10(150) -> 151*
    10(123) -> 137*
    10(66) -> 111*
    10(125) -> 122*
    10(3) -> 4*
    10(174) -> 171*
    10(95) -> 93*
    10(144) -> 140*
    10(157) -> 153*
    10(78) -> 79*
    10(11) -> 12*
    10(19) -> 17*
    10(180) -> 181*
    10(35) -> 54*
    20(39) -> 47*
    20(4) -> 5*
    20(141) -> 142*
    20(2) -> 66*
    20(119) -> 120*
    20(103) -> 104*
    20(133) -> 134*
    20(31) -> 32*
    20(13) -> 14*
    20(72) -> 73*
    20(146) -> 147*
    20(50) -> 51*
    20(12) -> 91*
    20(54) -> 107*
    20(154) -> 155*
    20(40) -> 41*
    20(36) -> 168*
    20(55) -> 56*
    20(176) -> 177*
    20(120) -> 121*
    20(79) -> 80*
    20(43) -> 44*
    20(112) -> 113*
    20(132) -> 133*
    20(35) -> 36*
    20(51) -> 52*
    20(7) -> 8*
    20(108) -> 109*
    20(160) -> 161*
    20(63) -> 64*
    20(91) -> 92*
    20(123) -> 124*
    20(26) -> 27*
    20(170) -> 167*
    20(177) -> 178*
    20(137) -> 138*
    20(182) -> 183*
    50(67) -> 68*
    50(33) -> 28*
    50(134) -> 135*
    50(164) -> 165*
    50(35) -> 62*
    50(143) -> 144*
    50(37) -> 94*
    50(75) -> 76*
    50(3) -> 102*
    50(2) -> 11*
    50(162) -> 159*
    50(148) -> 145*
    50(80) -> 77*
    50(117) -> 116*
    50(85) -> 84*
    50(66) -> 180*
    50(73) -> 71*
    50(130) -> 128*
    50(7) -> 25*
    50(172) -> 173*
    50(105) -> 101*
    50(48) -> 70*
    50(147) -> 148*
    50(138) -> 139*
    f60() -> 2*
    163 -> 66*
    70 -> 66*
    24 -> 3*
    74 -> 66*
    131 -> 66*
    159 -> 3*
    17 -> 3*
    115 -> 66*
    158 -> 3*
    46 -> 66*
    42 -> 66*
    126 -> 66*
    140 -> 66*
    77 -> 66*
    93 -> 3*
    106 -> 66*
    118 -> 66*
    28 -> 3*
    53 -> 66*
    153 -> 3*
    116 -> 66*
    6 -> 3*
    171 -> 66*
    58 -> 66*
    86 -> 3*
    38 -> 66*
    179 -> 66*
    101 -> 3*
    71 -> 66*
    1 -> 3*
    49 -> 66*
    20 -> 3*
    90 -> 3,37
    175 -> 66*
    65 -> 66*
    34 -> 66*
    110 -> 66*
    122 -> 66*
    145 -> 66*
    149 -> 3*
    167 -> 66*
    136 -> 66*
    84 -> 3*
    96 -> 3*
    15 -> 3*
    10 -> 3*
    81 -> 3*
    128 -> 66*
    61 -> 66*
  problem:
   
  Qed