Certificate for #6925 ⟨a, b, c | ab=1, acbac=a⟩

Completion settings:

[1] ab=1

Axiom: ab=1.

Defines rule #1.

Referenced by [3].

[2] acbac=a

Axiom: acbac=a.

Referenced by [3], [4].

[3] acba=ac

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

acb ac acbac

Critical pair: acba=abac.

Reduce RHS:

[1](ab)ac
⇒ ac

Defines rule #3.

Referenced by [4].

[4] acc=a

Overlap of [2] acbac=a with [3] acba=ac:

acbac acba

Critical pair: acc=a.

Defines rule #2.