How to filter values ​​from a data frame

Question

From this data frame:

df = 
    ID   TYPE   VD_0   VD_1   VD_2   VD_3   VD_4   VD_5   Val_0   Val_1   Val_2   Val3   Val_4   Val_5
    1    ABC    V1234  aaa    bbb    456     123   aaa    0       0       0       1       0      0
    2    DBC    456    A45    aaa    V1234   bbb   564    0       0       0       0       0      0
    3    ABD    V1234  V1234  bbb    ccc     456   123    0       0       0       0       0      1
    4    ABD    ccc    RTY    SSW    123     ccc   123    0       0       0       0       1      0

I want to select only those column values VD_that are in this list:

myList = head + tail

Rule 1: In addition, the selected lines must begin with the following values:

head = ["V1234","RTY"]

Rule 2: and must have a corresponding Val_equal to 0 for the value immediately following headand belonging to tail:

tail = ["456","123"]

The result should be like this (for example, line ID1 is not included, since it has Val_31, which means that rule 2 is not executed):

result = 
    ID   TYPE   Col_1  Col_2   Col_3   Col_4   Val_1   Val_2   Val_3   Val_4
    3    ABD    V1234  V1234   456     123     0       0       0       1    
    4    ABD    RTY    123     123             0       0       0