a claim where the precedent of a conditional step can have multiple possible other conditions

Question

let's suppose that a patent claims

a machine that:

 1. receives an input A from a first user;
 2. receives an input B from a second user; and
 3. executes Y on a condition that A is less than or equal to B.

If a competitor invented

a machine that:

 1. receives an input A from a first user;
 2. receives an input B from a second user; and
 3. executes Y on a condition that A is equal to B.

I assume that "a condition" is the same as "one or more conditions". In order words, The first claim does include:

a machine that:

 1. receives an input A from a first user;
 2. receives an input B from a second user; and
 3. executes Y
    1. on a condition that A is less than or equal to B; and
    2. on a condition that A is equal to B.

Even though the competitor's step 3 does not literally contain the same condition as the patent claim, it can be interpreted to be identical as the patented claim allows for additional conditions, which in turn makes the machines equivalent if it includes the competitor's more narrow condition?

So does the competitor's invention infringe upon the claim?

Answer 1

If a competitor markets a product that includes every step in a claim then it infringes. It does not matter if there are other additions. The two examples you cite would seem to infringe on the claim, but since it is a fictional claim it is hard to know for sure since the claim doesn't clearly state what A, B and Y are.