Answer by Archemar for Grep for multiple strings, show number of lines after one of the strings (but not the other)

about awk code

awk '/string1/ {if ( c <= 0 ) c = 1;} /string2/ {c=5} { if (c-- > 0) print; }' file

• do not cat ... | awk, awk can read file.
• I rearrange test (if string1 is one line after string2, it interrupt printing in OP's solution)