Certificate for #3387 ⟨a, b | aa=1, abbbbb=b

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #3.

Referenced by [3], [4].

[2] abbbbb=b

Axiom: abbbbb=b.

Referenced by [3].

[3] ab=bbbbb

Overlap of [1] aa=1 with [2] abbbbb=b:

a a abbbbb

Critical pair: ab=bbbbb.

Defines rule #2.

Referenced by [4].

[4] bbbbbbbbb=b

Overlap of [1] aa=1 with [3] ab=bbbbb:

a a ab

Critical pair: abbbbb=b.

Reduce LHS:

[3](ab)bbbb
bbbbbbbbb

Defines rule #1.