Certificate for #2991 ⟨a, b, c | aab=c, bcc=a⟩

Completion settings:

[1] c=aab

Axiom: aab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] baabaab=a

Axiom: bcc=a.

Reduce LHS:

[1]b(c)c
[1]⇒ baab(c)
⇒ baabaab

Defines rule #2.

Referenced by [3].

[3] baaa=aaab

Overlap of [2] baabaab=a with [2] baabaab=a:

baa baab baabaab

Critical pair: baaa=aaab.

Defines rule #1.