Solved with two auxiliary generators

Up:Monoid enumeration
11 unique, 11 total

Σ#PresentationProperties
Solved by morph:2/0,2/0:
7416⟨a, b, c | abc=b, caa=1⟩Noc Inf
71355⟨a, b, c | ab=1, bbca=c⟩Noc Inf
84186⟨a, b, c | aab=1, abca=c⟩Noc Inf
84232⟨a, b, c | aab=1, baca=c⟩Noc Inf
87486⟨a, b, c | ab=1, baca=ac⟩Noc Inf
Solved by morph:2/0,3/0:
86270⟨a, b, c | aa=1, bcbccb=1⟩Grp Inf
86271⟨a, b, c | aa=1, bccbbc=1⟩Grp Inf
Solved by morph:2/0,4/1:
87039⟨a, b, c | ab=1, bbcca=c⟩Noc Inf
Solved by morph:2/1,4/1:
87105⟨a, b, c | ab=1, cbbcc=b⟩Noc Inf
Solved by morph:2/2,5/1:
81658⟨a, b, c | aab=ba, abc=1⟩Noc Inf
Solved by morph:2/3,2/1:
81662⟨a, b, c | aab=ba, bac=1⟩Noc Inf