MAYBE

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

Proof:
 Open