Certificate for #1908 ⟨a, b | aab=b, aaaaa=1⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] aaaaa=1

Axiom: aaaaa=1.

Defines rule #2.

Referenced by [3].

[3] ab=b

Overlap of [2] aaaaa=1 with [1] aab=b:

aaa aa aab

Critical pair: aaab=b.

Reduce LHS:

[1]a(aab)
ab

Defines rule #1.