Certificate for #6107 ⟨a, b, c | ab=c, ccc=aa⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] ababab=aa

Axiom: ccc=aa.

Reduce LHS:

[1](c)cc
[1]⇒ ab(c)c
[1]⇒ abab(c)
⇒ ababab

Defines rule #2.

Referenced by [3].

[3] aaab=abaa

Overlap of [2] ababab=aa with [2] ababab=aa:

ab abab ababab

Critical pair: abaa=aaab.

Flip LHS and RHS.

Defines rule #1.