Certificate for #19302 ⟨a, b | aaa=a, bbbbb=ab

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #3.

Referenced by [3].

[2] ab=bbbbb

Axiom: bbbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbbbbbbbb=bbbbb

Overlap of [1] aaa=a with [2] ab=bbbbb:

aa a ab

Critical pair: aabbbbb=ab.

Reduce LHS:

[2]a(ab)bbbb
[2](ab)bbbbbbbb
bbbbbbbbbbbbb

Reduce RHS:

[2](ab)
bbbbb

Defines rule #1.