Certificate for #18739 ⟨a, b | aaa=a, abbbbb=b

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

[2] abbbbb=b

Axiom: abbbbb=b.

Referenced by [3], [4], [5].

[3] aab=b

Overlap of [1] aaa=a with [2] abbbbb=b:

aa a abbbbb

Critical pair: aab=abbbbb.

Reduce RHS:

[2](abbbbb)
b

Referenced by [4].

[4] ab=bbbbb

Overlap of [3] aab=b with [2] abbbbb=b:

a ab abbbbb

Critical pair: ab=bbbbb.

Defines rule #2.

Referenced by [5].

[5] bbbbbbbbb=b

Overlap of [2] abbbbb=b with [4] ab=bbbbb:

abbbbb ab

Critical pair: bbbbbbbbb=b.

Defines rule #1.