Certificate for #3138 ⟨a, b, c | ac=ab, aaaa=1⟩

Completion settings:

[1] ac=ab

Axiom: ac=ab.

Referenced by [3].

[2] aaaa=1

Axiom: aaaa=1.

Defines rule #2.

Referenced by [3].

[3] c=b

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

aaa a ac

Critical pair: aaaab=c.

Reduce LHS:

[2](aaaa)b
⇒ b

Flip LHS and RHS.

Defines rule #1.