Certificate for #5995 ⟨a, b, c | ab=c, aaa=cc⟩

Completion settings:

[1] c=ab

Axiom: ab=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] abab=aaa

Axiom: aaa=cc.

Reduce RHS:

[1](c)c
[1]⇒ ab(c)
⇒ abab

Flip LHS and RHS.

Defines rule #1.

Referenced by [3].

[3] aaaab=abaaa

Overlap of [2] abab=aaa with [2] abab=aaa:

ab ab abab

Critical pair: abaaa=aaaab.

Flip LHS and RHS.

Defines rule #2.