Combat Triangle

Unlike other RPG games, where the Warrior beats Mage, Mage beats Ranger, Ranger beats Warrior (much like rock-scissors-paper), this game is more complex.
The combat triangle in this game is not really a triangle.
Instead, there are 4 types of attack (Infantry, Armor, Cavalry, Range).
That means there are also 4 types of defense.
I'll use (Inf, Arm, Cav, Rng) respectively to denote the attack/defense types.

So here are the attack/defense type of each soldier.

Soldier Type	Attack Types	Defense Types
Infantry-1	Inf	Inf + Arm + Cav
Infantry-2	Inf	Inf + Rng
Infantry-3	Rng	Inf + Arm + Rng
Infantry-4	Arm	Arm + Rng + Cav
Infantry-5	Inf	Inf + Arm + Rng
Infantry-6	Rng	Arm + Rng + Cav
Cavalry-1	Cav	Inf + Rng + Cav
Cavalry-2	Cav	Inf + Arm + Rng
Cavalry-3	Cav + Arm	Inf + Cav
Cavalry-4	Rng + Cav	Inf + Cav

Any cavalry can beat Infantry-5, since all cavalries has Cav attack, and Infantry-5 does not have Cav defense.

Cavalry-3 and Cavalry-4 are harder to beat, since they have 2 attack types.
For Cavalry-3, the primary attack is Cav, and Arm is the secondary attack.
For Cavalry-4, the Rng attack is higher than the Cav attack.

To counter Cavalry-3 and Cavalry-4, the best type is Infantry-4.
Infantry-4 has defense for Cav, Arm and Rng, and their attack is Arm, which Cavalry-3 and Cavalry-4 has no defense against.

And to complete the loop, Infantry-5 beats Infantry-4.

Summary of the combat triangle ::
Cavalries >>> Infantry-5
Infantry-4 >>> Cavalry-3 + Calvalry-4
Infantry-5 >>> Infantry-4

Since we have 10 soldier types and 4 attack/defense types, above 'triangle' does not describe the whole story.
What about Infantry-6? How do you defeat Cavalry-1 and Cavalry-2?

When you draw out the complete picture, it'll probably be a big mesh.
Anyone wants to help me draw the Combat 'Mesh'? :)