MAYBE

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

Proof:
 Open