NO

1 decompositions
 #1 -----------
   1: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
   2: 0(1(2(1(x2)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x2)))))))))))))
   3: 0(1(2(1(x3)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x3))))))))))))))))
   4: 0(1(2(1(x4)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x4)))))))))))))))))))
   5: 0(1(2(1(x5)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x5))))))))))))))))))))))
   6: 0(1(2(1(x6)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x6)))))))))))))))))))))))))

unjoinable peak
    1(2(1(1(0(1(2(0(1(2(x14))))))))))
*<- 0(1(2(1(x14)))) ->*
    1(2(1(1(0(1(2(0(1(2(0(1(2(x14)))))))))))))