Certificate for #6192 ⟨a, b, c | aa=1, abcccc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abcccc=1

Axiom: abcccc=1.

Referenced by [3].

[3] a=bcccc

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

a a abcccc

Critical pair: a=bcccc.

Defines rule #2.

Referenced by [4].

[4] bccccbcccc=1

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

aa a

Critical pair: bcccca=1.

Reduce LHS:

[3]bcccc(a)
⇒ bccccbcccc

Defines rule #1.