Certificate for #6164 ⟨a, b, c | aa=1, abbbcc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbbcc=1

Axiom: abbbcc=1.

Referenced by [3].

[3] a=bbbcc

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

a a abbbcc

Critical pair: a=bbbcc.

Defines rule #2.

Referenced by [4].

[4] bbbccbbbcc=1

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

aa a

Critical pair: bbbcca=1.

Reduce LHS:

[3]bbbcc(a)
⇒ bbbccbbbcc

Defines rule #1.