Certificate for #3500 ⟨a, b, c | bb=ac, aaa=b⟩

Completion settings:

[1] bb=ac

Axiom: bb=ac.

Referenced by [3].

[2] b=aaa

Axiom: aaa=b.

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] ac=aaaaaa

Overlap of [1] bb=ac with [2] b=aaa:

bb b

Critical pair: aaab=ac.

Reduce LHS:

[2]aaa(b)
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #2.