Certificate for #6161 ⟨a, b, c | aa=1, abbbbc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbbbc=1

Axiom: abbbbc=1.

Referenced by [3].

[3] a=bbbbc

Overlap of [1] aa=1 with [2] abbbbc=1:

a a abbbbc

Critical pair: a=bbbbc.

Defines rule #2.

Referenced by [4].

[4] bbbbcbbbbc=1

Overlap of [1] aa=1 with [3] a=bbbbc:

aa a

Critical pair: bbbbca=1.

Reduce LHS:

[3]bbbbc(a)
⇒ bbbbcbbbbc

Defines rule #1.