Certificate for #4413 ⟨a, b | aaaaabba=bba

Completion settings:

[1] aaaaabba=bba

Axiom: aaaaabba=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #2.

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

[3] aaaaabba=c

Simplify [1] aaaaabba=bba.

Reduce RHS:

[2](bba)
c

Referenced by [4].

[4] aaaaac=c

Overlap of [3] aaaaabba=c with [2] bba=c:

aaaaa bba bba

Critical pair: aaaaac=c.

Defines rule #1.

Referenced by [5].

[5] bbc=caaaac

Overlap of [2] bba=c with [4] aaaaac=c:

bb a aaaaac

Critical pair: bbc=caaaac.

Defines rule #3.