Certificate for #11723 ⟨a, b | aaab=aa, bbbbb=1⟩

Completion settings:

[1] aaab=aa

Axiom: aaab=aa.

Referenced by [3], [4], [5], [6], [7].

[2] bbbbb=1

Axiom: bbbbb=1.

Defines rule #3.

Referenced by [3].

[3] aabbbb=aaa

Overlap of [1] aaab=aa with [2] bbbbb=1:

aaa b bbbbb

Critical pair: aaa=aabbbb.

Flip LHS and RHS.

Referenced by [4].

[4] aabbb=aaaa

Overlap of [1] aaab=aa with [3] aabbbb=aaa:

a aab aabbbb

Critical pair: aaaa=aabbb.

Flip LHS and RHS.

Referenced by [5].

[5] aabb=aaaaa

Overlap of [1] aaab=aa with [4] aabbb=aaaa:

a aab aabbb

Critical pair: aaaaa=aabb.

Flip LHS and RHS.

Referenced by [6].

[6] aab=aaaaaa

Overlap of [1] aaab=aa with [5] aabb=aaaaa:

a aab aabb

Critical pair: aaaaaa=aab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [7].

[7] aaaaaaa=aa

Overlap of [1] aaab=aa with [6] aab=aaaaaa:

a aab aab

Critical pair: aaaaaaa=aa.

Defines rule #1.