NO

1 decompositions
 #0 -----------
   1: 0(2(1(x))) -> 0(4(0(1(4(5(1(5(0(1(x))))))))))
   2: 1(1(3(x))) -> 1(2(1(2(2(2(5(1(4(2(x))))))))))
   3: 0(0(0(3(x)))) -> 4(2(4(0(2(5(3(3(4(5(x))))))))))
   4: 1(0(2(3(x)))) -> 1(1(2(5(4(1(2(4(3(2(x))))))))))
   5: 1(3(5(3(x)))) -> 3(5(4(5(2(4(3(2(5(4(x))))))))))
   6: 0(2(3(1(3(x))))) -> 1(0(1(2(1(3(1(3(1(2(x))))))))))
   7: 0(3(4(5(3(x))))) -> 2(0(2(5(1(2(4(4(5(5(x))))))))))
   8: 0(5(2(1(3(x))))) -> 2(4(2(5(2(4(3(0(2(4(x))))))))))
   9: 2(1(3(1(0(x))))) -> 0(1(4(5(1(5(5(2(3(0(x))))))))))
  10: 0(5(2(2(2(0(x)))))) -> 2(5(4(3(0(2(5(1(2(1(x))))))))))
  11: 2(0(0(5(2(0(x)))))) -> 4(0(4(2(1(4(4(4(0(1(x))))))))))
  12: 2(0(5(3(0(2(x)))))) -> 2(5(3(5(1(4(5(0(0(2(x))))))))))
  13: 2(1(0(2(1(5(x)))))) -> 2(5(4(1(3(2(2(5(4(5(x))))))))))
  14: 5(1(5(1(0(2(x)))))) -> 4(5(0(0(4(3(1(1(0(4(x))))))))))
  15: 0(5(2(2(2(1(0(x))))))) -> 0(3(2(3(1(4(1(0(1(0(x))))))))))
  16: 0(5(3(5(3(1(5(x))))))) -> 0(1(3(4(0(1(4(5(1(5(x))))))))))
  17: 1(1(5(1(4(4(3(x))))))) -> 1(0(3(4(4(1(0(2(5(5(x))))))))))
  18: 1(3(2(3(0(5(3(x))))))) -> 1(4(0(1(5(4(0(3(2(5(x))))))))))
  19: 1(5(2(4(2(1(1(x))))))) -> 4(4(1(4(1(4(3(1(0(3(x))))))))))
  20: 2(0(2(0(2(1(0(x))))))) -> 2(0(2(3(4(2(4(4(4(0(x))))))))))
  21: 2(4(5(5(1(3(5(x))))))) -> 2(1(2(1(4(4(4(3(4(4(x))))))))))
  22: 3(0(0(5(5(2(1(x))))))) -> 0(2(4(3(2(3(2(1(0(3(x))))))))))
  23: 3(1(5(2(3(0(5(x))))))) -> 5(3(4(0(4(5(2(0(0(4(x))))))))))

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