Certificate for #445 ⟨a, b, c | ac=ab, aaa=1⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Referenced by [3].

[2] aaa=1

Axiom: aaa=1.

Defines rule #2.

Referenced by [3].

[3] c=b

Overlap of [2] aaa=1 with [1] ac=ab:

aa a ac

Critical pair: aaab=c.

Reduce LHS:

[2](aaa)b
⇒ b

Flip LHS and RHS.

Defines rule #1.