MAYBE

Problem:
 0(0(0(1(0(0(2(0(2(1(1(2(1(2(1(1(2(1(1(0(0(1(2(x1))))))))))))))))))))))) ->
 1(0(0(1(1(2(0(0(0(1(2(0(1(1(1(0(1(1(1(1(0(0(1(0(1(1(2(x1)))))))))))))))))))))))))))
 0(0(0(2(0(1(1(1(2(2(2(2(1(1(1(0(1(1(2(1(1(0(1(x1))))))))))))))))))))))) ->
 1(1(2(1(0(0(0(0(1(1(1(0(0(1(2(2(0(0(0(2(1(2(2(0(2(1(0(x1)))))))))))))))))))))))))))
 0(0(1(2(0(0(0(2(1(0(1(0(2(1(1(2(2(0(2(1(2(1(1(x1))))))))))))))))))))))) ->
 1(0(0(0(0(1(0(0(2(2(2(1(1(2(2(1(1(0(2(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))))))
 0(1(0(0(0(2(2(1(1(2(0(2(0(0(0(0(0(0(0(1(2(1(2(x1))))))))))))))))))))))) ->
 1(1(0(0(2(1(0(2(0(0(1(0(0(2(2(0(1(2(2(1(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))
 0(1(0(0(1(2(0(1(2(2(1(1(1(0(0(1(0(0(0(1(0(0(0(x1))))))))))))))))))))))) ->
 0(0(0(1(0(0(1(2(2(0(0(2(1(1(0(0(0(0(2(0(2(2(2(2(2(2(0(x1)))))))))))))))))))))))))))
 0(1(1(0(1(2(0(2(0(2(2(0(1(1(0(0(0(2(0(0(0(2(2(x1))))))))))))))))))))))) ->
 1(0(1(1(2(1(0(1(1(0(0(2(1(0(1(1(2(1(1(0(2(0(1(2(0(0(0(x1)))))))))))))))))))))))))))
 0(1(1(2(0(0(1(1(0(2(0(0(1(0(2(1(1(0(0(2(2(0(0(x1))))))))))))))))))))))) ->
 0(0(0(0(0(1(0(0(2(0(1(0(1(0(0(0(2(2(2(1(1(1(0(0(0(2(2(x1)))))))))))))))))))))))))))
 0(1(1(2(0(1(0(2(0(1(0(1(2(0(0(0(2(0(1(1(0(0(1(x1))))))))))))))))))))))) ->
 0(0(0(2(0(1(2(0(1(1(1(1(0(2(0(0(2(1(0(1(1(0(2(1(1(0(0(x1)))))))))))))))))))))))))))
 0(1(2(0(0(2(1(0(0(2(2(2(1(1(0(0(2(0(2(0(0(2(0(x1))))))))))))))))))))))) ->
 1(0(0(1(0(0(0(0(2(1(0(0(1(2(2(0(1(0(2(1(1(0(0(0(1(0(1(x1)))))))))))))))))))))))))))
 0(1(2(0(1(2(2(1(1(1(2(0(1(0(0(2(1(0(1(1(0(1(0(x1))))))))))))))))))))))) ->
 0(0(1(1(0(0(0(2(0(0(0(0(0(0(2(0(0(2(2(1(1(2(1(1(2(0(0(x1)))))))))))))))))))))))))))
 0(1(2(1(1(2(0(0(0(0(0(2(1(1(0(0(0(1(2(1(1(0(2(x1))))))))))))))))))))))) ->
 1(0(1(1(2(1(0(1(0(0(2(0(0(0(1(0(0(1(0(2(0(0(0(2(1(1(2(x1)))))))))))))))))))))))))))
 0(2(0(1(2(0(0(1(0(1(2(2(1(0(0(1(0(1(0(2(1(0(1(x1))))))))))))))))))))))) ->
 2(1(1(0(0(0(2(1(0(0(0(0(2(0(1(1(2(1(0(0(2(1(0(1(0(0(1(x1)))))))))))))))))))))))))))
 0(2(1(0(2(2(2(1(1(0(1(1(2(1(0(0(0(0(0(2(0(2(0(x1))))))))))))))))))))))) ->
 1(2(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(1(1(1(0(1(2(1(0(0(0(x1)))))))))))))))))))))))))))
 0(2(1(2(2(0(2(1(0(1(1(0(1(0(1(0(1(2(0(0(2(1(1(x1))))))))))))))))))))))) ->
 1(0(1(0(2(1(0(1(0(1(1(1(0(1(2(1(2(1(1(1(0(1(0(0(0(0(2(x1)))))))))))))))))))))))))))
 1(0(0(1(1(2(1(0(1(1(0(2(2(0(0(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))) ->
 1(0(0(1(0(0(0(1(0(2(1(1(1(0(2(1(1(1(2(1(1(1(0(1(1(1(0(x1)))))))))))))))))))))))))))
 1(0(1(0(0(0(1(2(0(2(1(1(1(2(0(0(0(0(2(2(1(1(2(x1))))))))))))))))))))))) ->
 0(0(0(2(0(0(1(2(2(1(0(0(0(1(0(2(1(1(0(0(1(0(0(0(2(0(2(x1)))))))))))))))))))))))))))
 1(0(1(0(0(1(0(0(0(1(1(1(2(0(1(0(2(1(2(0(1(2(0(x1))))))))))))))))))))))) ->
 1(1(0(0(1(0(2(0(1(2(1(1(1(0(2(1(0(0(1(0(0(0(2(2(1(0(0(x1)))))))))))))))))))))))))))
 1(0(1(1(2(0(1(1(1(2(1(1(2(0(0(0(2(1(2(1(0(0(0(x1))))))))))))))))))))))) ->
 1(1(1(0(0(0(1(0(1(2(0(0(0(0(1(1(2(0(0(0(2(2(2(1(0(0(0(x1)))))))))))))))))))))))))))
 1(0(1(2(0(1(0(0(1(0(1(1(2(0(0(1(2(2(1(0(1(1(0(x1))))))))))))))))))))))) ->
 0(0(0(1(1(1(1(0(1(2(1(0(2(0(1(1(1(1(0(1(0(1(0(2(0(1(0(x1)))))))))))))))))))))))))))
 1(0(1(2(0(2(2(0(2(0(0(0(2(0(0(2(1(0(1(0(0(1(1(x1))))))))))))))))))))))) ->
 0(0(0(0(1(1(1(0(1(0(0(1(0(0(0(0(1(0(2(2(0(2(1(0(1(1(1(x1)))))))))))))))))))))))))))
 1(1(0(0(0(2(2(1(2(1(0(2(1(1(0(1(2(0(2(1(1(0(1(x1))))))))))))))))))))))) ->
 0(0(2(0(0(2(0(0(2(0(0(0(2(1(0(0(1(1(0(1(0(1(1(1(2(0(2(x1)))))))))))))))))))))))))))
 1(1(0(0(2(1(0(2(2(2(0(1(0(1(2(1(1(1(0(1(2(0(1(x1))))))))))))))))))))))) ->
 1(1(1(0(2(0(2(1(0(1(0(0(2(1(1(2(2(0(1(1(1(1(1(0(0(1(1(x1)))))))))))))))))))))))))))
 1(1(0(1(0(0(1(1(2(1(0(2(0(0(1(0(1(1(2(0(1(2(2(x1))))))))))))))))))))))) ->
 0(0(1(0(0(0(2(2(0(2(2(1(0(2(2(0(0(1(1(1(0(2(0(1(0(0(1(x1)))))))))))))))))))))))))))
 1(1(1(2(0(0(0(1(0(0(0(2(1(2(1(0(2(1(2(0(0(0(1(x1))))))))))))))))))))))) ->
 0(0(0(2(1(2(2(0(1(1(0(0(0(0(2(2(1(2(2(0(0(0(0(2(2(2(2(x1)))))))))))))))))))))))))))
 1(1(2(1(2(1(1(1(0(1(0(2(0(1(1(1(0(1(2(2(1(1(0(x1))))))))))))))))))))))) ->
 0(1(1(0(2(1(1(0(1(2(1(1(2(0(0(1(2(0(0(1(2(0(0(1(0(2(0(x1)))))))))))))))))))))))))))
 1(2(1(1(2(0(0(0(0(1(1(1(1(2(1(0(0(0(0(0(2(1(2(x1))))))))))))))))))))))) ->
 1(2(0(1(1(1(1(0(2(1(1(0(1(0(2(1(0(2(1(0(0(1(1(1(0(0(2(x1)))))))))))))))))))))))))))
 1(2(1(2(1(0(0(0(1(0(1(0(1(1(2(2(0(2(0(2(1(0(1(x1))))))))))))))))))))))) ->
 1(2(1(1(2(0(2(0(2(2(0(1(0(1(1(0(0(0(2(2(2(2(1(1(1(1(0(x1)))))))))))))))))))))))))))
 2(0(1(0(1(0(0(1(1(2(1(2(0(1(0(0(1(2(2(0(1(1(0(x1))))))))))))))))))))))) ->
 1(0(0(1(2(2(1(0(2(1(0(1(1(1(1(0(0(0(2(0(0(2(0(0(2(0(2(x1)))))))))))))))))))))))))))
 2(0(1(0(2(0(1(1(1(0(2(2(1(1(1(1(0(0(0(1(0(2(0(x1))))))))))))))))))))))) ->
 0(0(0(2(2(2(2(2(2(0(1(2(1(0(1(0(0(1(0(1(0(2(1(0(0(2(0(x1)))))))))))))))))))))))))))
 2(0(1(0(2(1(1(0(2(1(1(0(1(1(0(0(1(2(0(1(1(2(2(x1))))))))))))))))))))))) ->
 2(0(0(0(0(2(0(2(2(0(0(2(1(2(0(0(0(2(2(2(1(2(1(1(0(2(2(x1)))))))))))))))))))))))))))
 2(0(1(0(2(2(0(2(0(2(0(1(1(0(0(1(1(1(0(0(0(0(1(x1))))))))))))))))))))))) ->
 2(1(0(2(0(0(1(2(0(0(2(0(1(0(0(0(2(0(2(0(2(0(1(0(0(0(0(x1)))))))))))))))))))))))))))
 2(0(1(1(1(2(1(1(2(1(0(0(2(1(2(0(1(1(1(0(0(0(1(x1))))))))))))))))))))))) ->
 2(1(1(0(2(0(0(1(1(1(0(1(0(2(1(0(2(0(0(2(1(1(1(1(1(0(0(x1)))))))))))))))))))))))))))
 2(1(0(0(0(2(1(0(1(0(2(0(0(0(0(2(1(1(2(1(2(2(2(x1))))))))))))))))))))))) ->
 0(2(0(0(0(2(1(0(0(1(0(1(1(1(2(1(0(0(0(2(0(2(0(0(1(2(2(x1)))))))))))))))))))))))))))
 2(1(0(1(0(0(0(2(1(2(0(2(0(1(2(0(2(1(1(0(2(0(2(x1))))))))))))))))))))))) ->
 1(0(2(0(0(0(0(2(1(0(1(0(1(1(2(0(0(0(2(1(1(2(2(0(0(1(1(x1)))))))))))))))))))))))))))
 2(1(0(1(2(1(1(1(1(1(2(0(0(0(0(0(1(0(2(2(1(1(1(x1))))))))))))))))))))))) ->
 0(2(2(1(0(1(0(1(2(0(0(0(2(0(2(2(0(0(0(0(0(1(0(1(0(2(1(x1)))))))))))))))))))))))))))
 2(2(1(0(1(1(1(2(1(0(0(1(1(2(1(0(0(1(0(0(0(0(1(x1))))))))))))))))))))))) ->
 0(0(2(0(1(0(0(1(1(1(0(0(2(1(0(0(0(0(1(0(2(2(0(2(0(1(0(x1)))))))))))))))))))))))))))
 2(2(1(1(1(0(1(1(1(2(1(1(0(1(0(1(1(1(1(0(2(1(1(x1))))))))))))))))))))))) ->
 0(0(0(2(1(0(0(1(0(2(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(2(x1)))))))))))))))))))))))))))

Proof:
 Open