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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {6,5,4}
   transitions:
    01(10) -> 11*
    01(37) -> 38*
    01(27) -> 28*
    21(39) -> 40*
    21(29) -> 30*
    21(9) -> 10*
    11(7) -> 8*
    11(19) -> 20*
    11(21) -> 22*
    11(38) -> 39*
    11(8) -> 9*
    31(55) -> 56*
    31(57) -> 58*
    31(49) -> 50*
    41(47) -> 48*
    41(41) -> 42*
    00(2) -> 4*
    00(1) -> 4*
    00(3) -> 4*
    10(2) -> 1*
    10(1) -> 1*
    10(3) -> 1*
    20(2) -> 2*
    20(1) -> 2*
    20(3) -> 2*
    30(2) -> 5*
    30(1) -> 5*
    30(3) -> 5*
    40(2) -> 3*
    40(1) -> 3*
    40(3) -> 3*
    50(2) -> 6*
    50(1) -> 6*
    50(3) -> 6*
    1 -> 55,19
    2 -> 49,7
    3 -> 57,21
    8 -> 41,29
    11 -> 27,4
    20 -> 8*
    22 -> 8*
    28 -> 47,4
    30 -> 37,8
    40 -> 4*
    42 -> 29*
    48 -> 4*
    50 -> 7*
    56 -> 7*
    58 -> 7*
  problem:
   
  Qed