Certificate for #6169 ⟨a, b, c | aa=1, abbcbc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abbcbc=1

Axiom: abbcbc=1.

Referenced by [3].

[3] a=bbcbc

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

a a abbcbc

Critical pair: a=bbcbc.

Defines rule #2.

Referenced by [4].

[4] bbcbcbbcbc=1

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

aa a

Critical pair: bbcbca=1.

Reduce LHS:

[3]bbcbc(a)
⇒ bbcbcbbcbc

Defines rule #1.