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

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {6,5,4}
   transitions:
    21(187) -> 188*
    21(122) -> 123*
    21(87) -> 88*
    21(27) -> 28*
    21(189) -> 190*
    21(71) -> 72*
    21(56) -> 57*
    21(41) -> 42*
    21(16) -> 17*
    21(123) -> 124*
    21(43) -> 44*
    21(195) -> 196*
    21(170) -> 171*
    11(25) -> 26*
    11(197) -> 198*
    11(17) -> 18*
    11(19) -> 20*
    11(171) -> 172*
    11(28) -> 29*
    11(13) -> 14*
    51(167) -> 168*
    51(137) -> 138*
    51(102) -> 103*
    51(67) -> 68*
    51(57) -> 58*
    51(169) -> 170*
    51(149) -> 150*
    51(114) -> 115*
    51(151) -> 152*
    51(121) -> 122*
    51(101) -> 102*
    51(31) -> 32*
    51(143) -> 144*
    51(138) -> 139*
    51(88) -> 89*
    31(70) -> 71*
    31(65) -> 66*
    31(55) -> 56*
    31(30) -> 31*
    31(15) -> 16*
    31(172) -> 173*
    31(152) -> 153*
    31(117) -> 118*
    31(69) -> 70*
    31(59) -> 60*
    31(186) -> 187*
    31(166) -> 167*
    31(141) -> 142*
    31(86) -> 87*
    31(53) -> 54*
    31(140) -> 141*
    31(120) -> 121*
    31(100) -> 101*
    41(85) -> 86*
    41(97) -> 98*
    41(139) -> 140*
    41(119) -> 120*
    41(99) -> 100*
    41(54) -> 55*
    41(29) -> 30*
    41(14) -> 15*
    41(116) -> 117*
    41(91) -> 92*
    41(153) -> 154*
    41(68) -> 69*
    41(185) -> 186*
    41(165) -> 166*
    41(115) -> 116*
    01(184) -> 185*
    01(164) -> 165*
    01(89) -> 90*
    12(213) -> 214*
    00(2) -> 4*
    00(1) -> 4*
    00(3) -> 4*
    32(218) -> 219*
    32(215) -> 216*
    32(210) -> 211*
    10(2) -> 5*
    10(1) -> 5*
    10(3) -> 5*
    22(217) -> 218*
    22(212) -> 213*
    22(211) -> 212*
    20(2) -> 1*
    20(1) -> 1*
    20(3) -> 1*
    52(209) -> 210*
    52(216) -> 217*
    30(2) -> 2*
    30(1) -> 2*
    30(3) -> 2*
    42(208) -> 209*
    40(2) -> 3*
    40(1) -> 3*
    40(3) -> 3*
    50(2) -> 6*
    50(1) -> 6*
    50(3) -> 6*
    1 -> 143,91,59,41,19
    2 -> 137,85,53,27,13
    3 -> 149,97,65,43,25
    14 -> 67*
    17 -> 189*
    18 -> 20,29,67,5
    20 -> 14*
    26 -> 14*
    28 -> 114,99
    32 -> 20,29,67,5
    42 -> 28*
    44 -> 28*
    54 -> 195,184,151
    58 -> 17*
    60 -> 54*
    66 -> 54*
    72 -> 20,29,67,5
    86 -> 119*
    87 -> 169*
    90 -> 115,144,138,6
    92 -> 86*
    98 -> 86*
    102 -> 197*
    103 -> 115,144,138,6
    118 -> 89*
    124 -> 152,115,144,138,6
    138 -> 164*
    142 -> 123*
    144 -> 138*
    150 -> 138*
    154 -> 141*
    168 -> 123*
    173 -> 115,144,138,6
    188 -> 102*
    190 -> 71*
    196 -> 14*
    197 -> 208*
    198 -> 123*
    209 -> 215*
    214 -> 139*
    219 -> 213*
  problem:
   
  Qed