YES

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

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {181,166,151,137,123,108,97,87,76,64,53,43,34,25,16,10,6,1}
   transitions:
    00(122) -> 108*
    00(115) -> 116*
    00(158) -> 159*
    00(5) -> 1*
    00(126) -> 127*
    00(39) -> 40*
    00(127) -> 128*
    00(103) -> 104*
    00(195) -> 196*
    00(29) -> 30*
    00(3) -> 4*
    00(74) -> 75*
    00(155) -> 156*
    00(8) -> 9*
    00(189) -> 190*
    00(152) -> 153*
    00(113) -> 114*
    00(175) -> 176*
    00(49) -> 50*
    00(149) -> 150*
    00(2) -> 7*
    f60() -> 2*
    40(159) -> 160*
    40(153) -> 154*
    40(51) -> 52*
    40(136) -> 123*
    40(196) -> 197*
    40(161) -> 162*
    40(78) -> 79*
    40(164) -> 165*
    40(116) -> 117*
    40(35) -> 36*
    40(44) -> 45*
    40(28) -> 29*
    40(37) -> 38*
    40(170) -> 171*
    40(41) -> 42*
    40(2) -> 54*
    40(82) -> 83*
    40(182) -> 183*
    40(119) -> 120*
    40(62) -> 63*
    40(133) -> 134*
    40(23) -> 24*
    40(22) -> 23*
    40(130) -> 131*
    40(120) -> 121*
    40(68) -> 69*
    40(72) -> 73*
    40(88) -> 89*
    40(96) -> 87*
    40(180) -> 166*
    40(31) -> 32*
    40(184) -> 185*
    50(2) -> 35*
    50(187) -> 188*
    50(178) -> 179*
    50(55) -> 124*
    50(104) -> 105*
    50(77) -> 167*
    50(85) -> 86*
    50(185) -> 186*
    50(121) -> 122*
    50(179) -> 180*
    50(176) -> 177*
    50(190) -> 191*
    50(197) -> 198*
    50(80) -> 81*
    50(35) -> 138*
    50(154) -> 155*
    50(193) -> 194*
    50(83) -> 84*
    50(107) -> 97*
    50(67) -> 68*
    50(20) -> 21*
    50(118) -> 119*
    50(90) -> 91*
    50(7) -> 152*
    50(128) -> 129*
    50(54) -> 65*
    50(198) -> 199*
    50(11) -> 12*
    50(61) -> 62*
    50(172) -> 173*
    50(100) -> 101*
    50(106) -> 107*
    50(17) -> 18*
    50(125) -> 126*
    10(186) -> 187*
    10(89) -> 90*
    10(157) -> 158*
    10(188) -> 189*
    10(24) -> 16*
    10(4) -> 5*
    10(2) -> 3*
    10(71) -> 72*
    10(162) -> 163*
    10(94) -> 95*
    10(101) -> 102*
    10(140) -> 141*
    10(18) -> 19*
    10(75) -> 64*
    10(129) -> 130*
    10(131) -> 132*
    10(55) -> 98*
    10(194) -> 195*
    10(110) -> 111*
    10(77) -> 78*
    10(167) -> 168*
    10(95) -> 96*
    10(32) -> 33*
    10(168) -> 169*
    10(112) -> 113*
    10(173) -> 174*
    10(169) -> 170*
    10(156) -> 157*
    10(160) -> 161*
    10(144) -> 145*
    10(30) -> 31*
    10(63) -> 53*
    10(81) -> 82*
    10(124) -> 125*
    10(33) -> 25*
    10(114) -> 115*
    30(65) -> 66*
    30(7) -> 44*
    30(40) -> 41*
    30(3) -> 11*
    30(86) -> 76*
    30(146) -> 147*
    30(145) -> 146*
    30(38) -> 39*
    30(69) -> 70*
    30(66) -> 67*
    30(57) -> 58*
    30(17) -> 77*
    30(134) -> 135*
    30(54) -> 55*
    30(163) -> 164*
    30(14) -> 15*
    30(143) -> 144*
    30(135) -> 136*
    30(105) -> 106*
    30(55) -> 56*
    30(191) -> 192*
    30(60) -> 61*
    30(91) -> 92*
    30(150) -> 137*
    30(59) -> 60*
    30(192) -> 193*
    30(98) -> 99*
    30(19) -> 20*
    30(26) -> 27*
    30(102) -> 103*
    30(117) -> 118*
    30(132) -> 133*
    30(2) -> 109*
    30(111) -> 112*
    30(73) -> 74*
    20(12) -> 13*
    20(17) -> 182*
    20(147) -> 148*
    20(2) -> 17*
    20(139) -> 140*
    20(47) -> 48*
    20(36) -> 37*
    20(13) -> 14*
    20(171) -> 172*
    20(42) -> 34*
    20(15) -> 10*
    20(148) -> 149*
    20(177) -> 178*
    20(109) -> 110*
    20(84) -> 85*
    20(79) -> 80*
    20(27) -> 28*
    20(99) -> 100*
    20(70) -> 71*
    20(9) -> 6*
    20(199) -> 181*
    20(56) -> 57*
    20(142) -> 143*
    20(138) -> 139*
    20(165) -> 151*
    20(52) -> 43*
    20(50) -> 51*
    20(93) -> 94*
    20(21) -> 22*
    20(48) -> 49*
    20(58) -> 59*
    20(45) -> 46*
    20(7) -> 8*
    20(3) -> 26*
    20(174) -> 175*
    20(92) -> 93*
    20(141) -> 142*
    20(183) -> 184*
    20(11) -> 88*
    20(46) -> 47*
    151 -> 54*
    166 -> 54*
    43 -> 17,110
    64 -> 3,5
    137 -> 109,11
    16 -> 3*
    53 -> 35,152
    6 -> 7*
    76 -> 3*
    123 -> 54,45
    1 -> 7,4
    34 -> 17*
    108 -> 7*
    181 -> 54*
    97 -> 35,138
    10 -> 109,77
    87 -> 54*
    25 -> 3,90
  problem:
   
  Qed