YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {201,194,185,176,166,157,149,140,131,122,114,105,97,88,78,69,60,51,41,32,22,12,1}
   transitions:
    01(221) -> 222*
    01(227) -> 228*
    01(229) -> 230*
    11(226) -> 227*
    11(223) -> 224*
    11(220) -> 221*
    00(148) -> 140*
    00(200) -> 194*
    00(13) -> 106*
    00(106) -> 107*
    00(144) -> 145*
    00(58) -> 59*
    00(183) -> 184*
    00(42) -> 123*
    00(127) -> 128*
    00(103) -> 104*
    00(205) -> 206*
    00(139) -> 131*
    00(132) -> 133*
    00(70) -> 71*
    00(87) -> 78*
    00(11) -> 1*
    00(3) -> 4*
    00(150) -> 151*
    00(155) -> 156*
    00(159) -> 160*
    00(92) -> 93*
    00(67) -> 68*
    00(128) -> 129*
    00(9) -> 10*
    00(123) -> 202*
    00(28) -> 29*
    00(163) -> 164*
    00(167) -> 168*
    00(2) -> 79*
    f60() -> 2*
    30(195) -> 196*
    30(154) -> 155*
    30(25) -> 26*
    30(158) -> 159*
    30(207) -> 208*
    30(136) -> 137*
    30(13) -> 33*
    30(52) -> 53*
    30(44) -> 45*
    30(2) -> 167*
    30(111) -> 112*
    30(117) -> 118*
    30(71) -> 72*
    30(186) -> 187*
    30(50) -> 41*
    30(181) -> 182*
    30(54) -> 55*
    30(125) -> 126*
    30(169) -> 170*
    30(24) -> 25*
    30(79) -> 80*
    30(197) -> 198*
    30(93) -> 94*
    30(146) -> 147*
    30(138) -> 139*
    20(73) -> 74*
    20(113) -> 105*
    20(2) -> 13*
    20(75) -> 76*
    20(115) -> 116*
    20(91) -> 92*
    20(68) -> 60*
    20(23) -> 158*
    20(199) -> 200*
    20(38) -> 39*
    20(77) -> 69*
    20(18) -> 19*
    20(121) -> 114*
    20(179) -> 180*
    20(34) -> 35*
    20(137) -> 138*
    20(30) -> 31*
    20(80) -> 81*
    20(3) -> 89*
    20(16) -> 17*
    20(193) -> 185*
    20(182) -> 183*
    20(116) -> 117*
    20(20) -> 21*
    20(43) -> 44*
    20(56) -> 57*
    20(184) -> 176*
    20(196) -> 197*
    20(202) -> 203*
    20(96) -> 88*
    20(66) -> 67*
    20(27) -> 28*
    20(169) -> 195*
    20(63) -> 64*
    20(61) -> 150*
    20(46) -> 47*
    20(191) -> 192*
    20(101) -> 102*
    20(17) -> 18*
    20(42) -> 70*
    40(198) -> 199*
    40(188) -> 189*
    40(153) -> 154*
    40(4) -> 98*
    40(2) -> 42*
    40(10) -> 11*
    40(119) -> 120*
    40(48) -> 49*
    40(62) -> 63*
    40(31) -> 22*
    40(13) -> 14*
    40(189) -> 190*
    40(102) -> 103*
    40(72) -> 73*
    40(61) -> 62*
    40(180) -> 181*
    40(94) -> 95*
    40(204) -> 205*
    40(145) -> 146*
    40(104) -> 97*
    40(164) -> 165*
    40(175) -> 166*
    40(172) -> 173*
    40(29) -> 30*
    40(36) -> 37*
    40(152) -> 153*
    40(187) -> 188*
    40(79) -> 177*
    40(134) -> 135*
    40(99) -> 100*
    40(45) -> 46*
    40(174) -> 175*
    40(130) -> 122*
    40(178) -> 179*
    40(7) -> 8*
    40(85) -> 86*
    40(142) -> 143*
    40(108) -> 109*
    40(160) -> 161*
    40(76) -> 77*
    40(42) -> 186*
    40(170) -> 171*
    40(206) -> 207*
    40(23) -> 24*
    40(126) -> 127*
    40(177) -> 178*
    40(33) -> 34*
    40(98) -> 99*
    50(65) -> 66*
    50(208) -> 201*
    50(81) -> 82*
    50(49) -> 50*
    50(15) -> 16*
    50(84) -> 85*
    50(90) -> 91*
    50(107) -> 108*
    50(23) -> 61*
    50(141) -> 142*
    50(203) -> 204*
    50(47) -> 48*
    50(112) -> 113*
    50(24) -> 115*
    50(4) -> 5*
    50(37) -> 38*
    50(42) -> 43*
    50(110) -> 111*
    50(129) -> 130*
    50(26) -> 27*
    50(6) -> 7*
    50(161) -> 162*
    50(74) -> 75*
    50(120) -> 121*
    50(95) -> 96*
    50(82) -> 83*
    50(2) -> 23*
    10(100) -> 101*
    10(156) -> 149*
    10(168) -> 169*
    10(192) -> 193*
    10(147) -> 148*
    10(23) -> 141*
    10(57) -> 58*
    10(2) -> 3*
    10(40) -> 32*
    10(14) -> 15*
    10(124) -> 125*
    10(5) -> 6*
    10(13) -> 52*
    10(55) -> 56*
    10(171) -> 172*
    10(39) -> 40*
    10(109) -> 110*
    10(79) -> 132*
    10(83) -> 84*
    10(151) -> 152*
    10(118) -> 119*
    10(59) -> 51*
    10(64) -> 65*
    10(133) -> 134*
    10(165) -> 157*
    10(89) -> 90*
    10(135) -> 136*
    10(8) -> 9*
    10(143) -> 144*
    10(21) -> 12*
    10(123) -> 124*
    10(86) -> 87*
    10(162) -> 163*
    10(173) -> 174*
    10(19) -> 20*
    10(53) -> 54*
    10(35) -> 36*
    10(190) -> 191*
    51(224) -> 225*
    51(222) -> 223*
    41(225) -> 226*
    41(228) -> 229*
    192 -> 220*
    166 -> 3,141
    194 -> 167,80
    131 -> 79*
    69 -> 79*
    140 -> 79*
    12 -> 3*
    114 -> 13,89
    230 -> 106,71
    105 -> 13*
    22 -> 79*
    88 -> 79*
    201 -> 167*
    60 -> 79,168
    1 -> 79,106
    185 -> 13,70
    41 -> 3*
    122 -> 23,142
    149 -> 3*
    97 -> 13*
    51 -> 79,106
    32 -> 3,132
    176 -> 13*
    157 -> 3*
    78 -> 13,89
  problem:
   
  Qed