Certificate for #5123 ⟨a, b, c | aa=a, abbc=c⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [3].

[2] abbc=c

Axiom: abbc=c.

Defines rule #3.

Referenced by [3].

[3] ac=c

Overlap of [1] aa=a with [2] abbc=c:

a a abbc

Critical pair: ac=abbc.

Reduce RHS:

[2](abbc)
⇒ c

Defines rule #2.