YES

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

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