YES

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

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