NO

1 decompositions
 #1 -----------
   1: 0(2(1(x1))) -> 0(4(0(1(4(5(1(5(0(1(x1))))))))))
   2: 1(1(3(x2))) -> 1(2(1(2(2(2(5(1(4(2(x2))))))))))
   3: 0(0(0(3(x3)))) -> 4(2(4(0(2(5(3(3(4(5(x3))))))))))
   4: 1(0(2(3(x4)))) -> 1(1(2(5(4(1(2(4(3(2(x4))))))))))
   5: 1(3(5(3(x5)))) -> 3(5(4(5(2(4(3(2(5(4(x5))))))))))
   6: 0(2(3(1(3(x6))))) -> 1(0(1(2(1(3(1(3(1(2(x6))))))))))
   7: 0(3(4(5(3(x7))))) -> 2(0(2(5(1(2(4(4(5(5(x7))))))))))
   8: 0(5(2(1(3(x8))))) -> 2(4(2(5(2(4(3(0(2(4(x8))))))))))
   9: 2(1(3(1(0(x9))))) -> 0(1(4(5(1(5(5(2(3(0(x9))))))))))
  10: 0(5(2(2(2(0(x10)))))) -> 2(5(4(3(0(2(5(1(2(1(x10))))))))))
  11: 2(0(0(5(2(0(x11)))))) -> 4(0(4(2(1(4(4(4(0(1(x11))))))))))
  12: 2(0(5(3(0(2(x12)))))) -> 2(5(3(5(1(4(5(0(0(2(x12))))))))))
  13: 2(1(0(2(1(5(x13)))))) -> 2(5(4(1(3(2(2(5(4(5(x13))))))))))
  14: 5(1(5(1(0(2(x14)))))) -> 4(5(0(0(4(3(1(1(0(4(x14))))))))))
  15: 0(5(2(2(2(1(0(x15))))))) -> 0(3(2(3(1(4(1(0(1(0(x15))))))))))
  16: 0(5(3(5(3(1(5(x16))))))) -> 0(1(3(4(0(1(4(5(1(5(x16))))))))))
  17: 1(1(5(1(4(4(3(x17))))))) -> 1(0(3(4(4(1(0(2(5(5(x17))))))))))
  18: 1(3(2(3(0(5(3(x18))))))) -> 1(4(0(1(5(4(0(3(2(5(x18))))))))))
  19: 1(5(2(4(2(1(1(x19))))))) -> 4(4(1(4(1(4(3(1(0(3(x19))))))))))
  20: 2(0(2(0(2(1(0(x20))))))) -> 2(0(2(3(4(2(4(4(4(0(x20))))))))))
  21: 2(4(5(5(1(3(5(x21))))))) -> 2(1(2(1(4(4(4(3(4(4(x21))))))))))
  22: 3(0(0(5(5(2(1(x22))))))) -> 0(2(4(3(2(3(2(1(0(3(x22))))))))))
  23: 3(1(5(2(3(0(5(x23))))))) -> 5(3(4(0(4(5(2(0(0(4(x23))))))))))

unjoinable peak
    2(5(4(3(0(2(5(1(2(1(4(0(1(4(5(1(5(0(1(x1)))))))))))))))))))
*<- 0(5(2(2(2(0(2(1(x1)))))))) ->*
    2(5(4(3(0(2(5(1(2(1(2(1(x1))))))))))))