Certificate for #2391 ⟨a, b, c | aab=a, cabc=1⟩

Completion settings:

[1] aab=a

Axiom: aab=a.

Defines rule #1.

Referenced by [5].

[2] cabc=1

Axiom: cabc=1.

Referenced by [3], [4].

[3] cab=abc

Overlap of [2] cabc=1 with [2] cabc=1:

cab c cabc

Critical pair: cab=abc.

Defines rule #3.

Referenced by [4].

[4] abcc=1

Overlap of [2] cabc=1 with [3] cab=abc:

cabc cab

Critical pair: abcc=1.

Defines rule #4.

Referenced by [5].

[5] acc=a

Overlap of [1] aab=a with [4] abcc=1:

a ab abcc

Critical pair: a=acc.

Flip LHS and RHS.

Defines rule #2.