Certificate for #22291 ⟨a, b | aaa=1, abbbbb=bb⟩

Back:⟨a, b | aaa=1, abbbbb=bb⟩

Completion settings:

[1] aaa=1

Axiom: aaa=1.

Defines rule #3.

Referenced by [3], [5].

[2] abbbbb=bb

Axiom: abbbbb=bb.

Referenced by [3], [4].

[3] aabb=bbbbb

Overlap of [1] aaa=1 with [2] abbbbb=bb:

aa a abbbbb

Critical pair: aabb=bbbbb.

Referenced by [4], [5].

[4] abb=bbbbbbbb

Overlap of [3] aabb=bbbbb with [2] abbbbb=bb:

a abb abbbbb

Critical pair: abb=bbbbbbbb.

Defines rule #2.

Referenced by [5].

[5] bbbbbbbbbbb=bb

Overlap of [1] aaa=1 with [4] abb=bbbbbbbb:

aa a abb

Critical pair: aabbbbbbbb=bb.

Reduce LHS:

[3](aabb)bbbbbb
⇒ bbbbbbbbbbb

Defines rule #1.