Certificate for #5784 ⟨a, b | aabbba=aabbb

Completion settings:

[1] aabbba=aabbb

Axiom: aabbba=aabbb.

Referenced by [3].

[2] aabbb=c

Axiom: aabbb=c.

Defines rule #3.

Referenced by [3], [4], [5].

[3] aabbba=c

Simplify [1] aabbba=aabbb.

Reduce RHS:

[2](aabbb)
c

Referenced by [4].

[4] ca=c

Overlap of [3] aabbba=c with [2] aabbb=c:

aabbba aabbb

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

[5] cbbb=cc

Overlap of [4] ca=c with [2] aabbb=c:

c a aabbb

Critical pair: cc=cabbb.

Reduce RHS:

[4](ca)bbb
cbbb

Flip LHS and RHS.

Defines rule #2.