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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {6,5}
   transitions:
    11(25) -> 26*
    11(15) -> 16*
    11(62) -> 63*
    11(27) -> 28*
    11(119) -> 120*
    11(99) -> 100*
    11(84) -> 85*
    11(19) -> 20*
    11(41) -> 42*
    11(148) -> 149*
    11(98) -> 99*
    11(13) -> 14*
    11(125) -> 126*
    51(65) -> 66*
    51(137) -> 138*
    51(139) -> 140*
    51(89) -> 90*
    51(39) -> 40*
    51(14) -> 15*
    51(121) -> 122*
    51(103) -> 104*
    51(150) -> 151*
    51(145) -> 146*
    41(75) -> 76*
    41(40) -> 41*
    41(147) -> 148*
    41(67) -> 68*
    41(124) -> 125*
    41(151) -> 152*
    41(116) -> 117*
    41(61) -> 62*
    41(163) -> 164*
    41(123) -> 124*
    41(83) -> 84*
    41(73) -> 74*
    41(38) -> 39*
    41(165) -> 166*
    21(87) -> 88*
    21(37) -> 38*
    21(164) -> 165*
    21(149) -> 150*
    21(49) -> 50*
    21(51) -> 52*
    21(16) -> 17*
    21(63) -> 64*
    21(43) -> 44*
    21(115) -> 116*
    21(85) -> 86*
    01(102) -> 103*
    01(17) -> 18*
    01(64) -> 65*
    01(126) -> 127*
    01(118) -> 119*
    01(88) -> 89*
    31(122) -> 123*
    31(117) -> 118*
    31(101) -> 102*
    00(2) -> 5*
    00(4) -> 5*
    00(1) -> 5*
    00(3) -> 5*
    10(2) -> 1*
    10(4) -> 1*
    10(1) -> 1*
    10(3) -> 1*
    20(2) -> 6*
    20(4) -> 6*
    20(1) -> 6*
    20(3) -> 6*
    30(2) -> 2*
    30(4) -> 2*
    30(1) -> 2*
    30(3) -> 2*
    40(2) -> 3*
    40(4) -> 3*
    40(1) -> 3*
    40(3) -> 3*
    50(2) -> 4*
    50(4) -> 4*
    50(1) -> 4*
    50(3) -> 4*
    1 -> 139,73,49,25
    2 -> 121,61,37,13
    3 -> 145,75,51,27
    4 -> 137,67,43,19
    14 -> 115,98,83
    18 -> 44,6
    20 -> 14*
    26 -> 14*
    28 -> 14*
    42 -> 44,6
    44 -> 38*
    50 -> 38*
    52 -> 38*
    62 -> 147*
    66 -> 44,6
    68 -> 62*
    74 -> 62*
    76 -> 62*
    84 -> 87*
    86 -> 65*
    90 -> 41*
    99 -> 101*
    100 -> 84*
    104 -> 5*
    120 -> 5*
    122 -> 163*
    127 -> 5*
    138 -> 122*
    140 -> 122*
    146 -> 122*
    152 -> 44,38,6
    166 -> 89*
  problem:
   
  Qed