Certificate for #13295 ⟨a, b | aaaaa=1, abbabb=1⟩

Completion settings:

[1] aaaaa=1

Axiom: aaaaa=1.

Defines rule #1.

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

[2] abbabb=1

Axiom: abbabb=1.

Referenced by [3].

[3] bbabb=aaaa

Overlap of [1] aaaaa=1 with [2] abbabb=1:

aaaa a abbabb

Critical pair: aaaa=bbabb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] bbabaaaa=aaaababb

Overlap of [3] bbabb=aaaa with [3] bbabb=aaaa:

bbab b bbabb

Critical pair: bbabaaaa=aaaababb.

Defines rule #4.

Referenced by [5].

[5] aaaababba=bbab

Overlap of [4] bbabaaaa=aaaababb with [1] aaaaa=1:

bbab aaaa aaaaa

Critical pair: bbab=aaaababba.

Flip LHS and RHS.

Referenced by [6].

[6] babba=abbab

Overlap of [1] aaaaa=1 with [5] aaaababba=bbab:

a aaaa aaaababba

Critical pair: abbab=babba.

Flip LHS and RHS.

Defines rule #2.