Certificate for #5910 ⟨a, b, c | ab=a, caa=bb⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] caa=bb

Axiom: caa=bb.

Defines rule #3.

Referenced by [3].

[3] bbb=bb

Overlap of [2] caa=bb with [1] ab=a:

ca a ab

Critical pair: caa=bbb.

Reduce LHS:

[2](caa)
⇒ bb

Flip LHS and RHS.

Defines rule #2.