Using 2-Way-Checkback after 1X-1Y-1NT

After 1X-1Y-1NT, responder's bids have the following meaning according to the XYZ-structure:

Response

Meaning

2C

Either a signoff in 2D or 3C or any invitational hand. Requests opener to bid 2D which responder may pass, bids 3C to play or follow up with an invitational bid. 2 of the other major shows an invitational hand at least 5-4 in the majors, and 2NT shows an invitational hand with long clubs.

2D

Game forcing, responder's hand pattern not yet disclosed, leaving an abundance of bidding space.

2H/S

Showing a signoff bid, except responders's reverses are invitational: 1H followed by 2S is invitational with 4-4 in the majors and 1D followed by 2H/2S is invational with 6+D and a 4-card major.

2NT

Inviting 3NT, not interested in other contracts.

3C/D/H/S

Showing very distributional slam tries with a 7-card or longer suit or 5-5+ distribution. Bidding 2D denies such distributions!

 
Examples:
1C-1S-1NT-2H (signoff with 5+S and 4+H)
1C-1H-1NT-2C-2D-2S (invitational with 5+H and 4+S)
1H-1S-1NT-2C-2D-2H (invitational with 5S and 3H)
1D-1H-1NT-2S (invitational 4-4 in the majors)
1C-1S-1NT-2C-2D-2NT (invitational with long clubs)
1D-1S-1NT-2NT (natural and invitational)
1D-1S-1NT-2C-2D-2S (invitational with 5+S)
1C-1D-1NT-2H (invitational with 6+D and 4H)
1C-1D-1NT-2C-2D-2H (invitational with 6+D and 5+H)
1C-1D-1NT-2D-2NT-3S (game-forcing with 5+D and 4 spades)
1C-1H-1NT-2C-2D-3C (to play)
1C-1S-1NT-3C (slam try 5-5+ in the black suits)
1C-1H-1NT-3H (slam try with 7+ hearts)
1C-1H-1NT-3S (slam try with 6+H and 5+S)

Modifications if Playing the System in Conjunction with Reverse Flannery Covering all weak and invitational 5S/4-5H hands
1m-1S-1NT-2C-2D-2H is invitiational with 6S and 4 hearts
1m-1S-1NT-2H is a signoff with 6S and 4H