Word for point-by-point response

I saw someone use this word before, but I cannot remember what it is. The word describes this scenario:

1. Person A makes some points:

   This is 1st point. This is 2nd point. This is 3rd point.

2. Person B refutes those points, often interleaving the original points:

   This is 1st point.

   1st point is wrong because reasons.

   This is 2nd point.

   2nd point is wrong because reasons.

   This is 3rd point.

   3rd point is wrong because reasons.

I remember reading a word or phrase that decribed Person B’s line-by-line response.

fisk

To rebut an argument line by line, especially on the Internet.

Named after journalist Robert Fisk. Originated in the blogosphere.

http://wiktionary.org/wiki/fisk#Etymology_2

Blow-by-blow perhaps? Originally referred to detailed accounts in prize-fight broadcasts.

EDIT

What you described is a rebuttal, or as ab2 pointed out a point-by-point rebuttal.