YES

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

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