Certificate for #14473 ⟨a, b | aaab=b, aaaaa=a

Completion settings:

[1] aaab=b

Axiom: aaab=b.

Referenced by [3], [4].

[2] aaaaa=a

Axiom: aaaaa=a.

Defines rule #2.

Referenced by [3].

[3] aab=ab

Overlap of [2] aaaaa=a with [1] aaab=b:

aa aaa aaab

Critical pair: aab=ab.

Referenced by [4].

[4] ab=b

Overlap of [1] aaab=b with [3] aab=ab:

a aab aab

Critical pair: aab=b.

Reduce LHS:

[3](aab)
ab

Defines rule #1.