Certificate for #6172 ⟨a, b, c | aa=1, abbccc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbccc=1

Axiom: abbccc=1.

Referenced by [3].

[3] a=bbccc

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

a a abbccc

Critical pair: a=bbccc.

Defines rule #2.

Referenced by [4].

[4] bbcccbbccc=1

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

aa a

Critical pair: bbccca=1.

Reduce LHS:

[3]bbccc(a)
⇒ bbcccbbccc

Defines rule #1.