Certificate for #6185 ⟨a, b, c | aa=1, abcbcc=1⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Referenced by [3], [4].

[2] abcbcc=1

Axiom: abcbcc=1.

Referenced by [3].

[3] a=bcbcc

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

a a abcbcc

Critical pair: a=bcbcc.

Defines rule #2.

Referenced by [4].

[4] bcbccbcbcc=1

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

aa a

Critical pair: bcbcca=1.

Reduce LHS:

[3]bcbcc(a)
⇒ bcbccbcbcc

Defines rule #1.