Apocalypse (chess variant)

Apocalypse is a chess variant invented by C. S. Elliott in 1976. The players each start with two "horsemen" and five "footmen" on a 5×5 board. The two sides make their moves simultaneously. 
The game was featured in Issue 53 of "Games & Puzzles" magazine.
Game rules.
The starting setup is as shown. Horsemen and footmen move and capture the same as knights and pawns in chess, except footmen do not have a double-step option on their first move. For each turn, each player secretly writes down their move, then the players simultaneously declare them. The following rules apply:
A footman promotes to horseman when reaching the last , but only when the player has fewer than two horsemen. Otherwise the player must redeploy the footman to any vacant square.
End of game.
A player wins by being first to eliminate all of the opponent's footmen. Accumulating two penalty points forfeits the game. A stalemate is a draw.
References.
Bibliography