Certificate for #1956 ⟨a, b, c | abc=ac, bba=1⟩

Completion settings:

[1] abc=ac

Axiom: abc=ac.

Referenced by [3].

[2] bba=1

Axiom: bba=1.

Defines rule #2.

Referenced by [3].

[3] bc=c

Overlap of [2] bba=1 with [1] abc=ac:

bb a abc

Critical pair: bbac=bc.

Reduce LHS:

[2](bba)c
⇒ c

Flip LHS and RHS.

Defines rule #1.