The variety generated by the 3-element semiring S7 has exactly six finitely based subvarieties and contains a continuum of subvarieties, so S7 is of type 2^aleph0.
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The finite basis problem for additively idempotent semirings that relate to S_7
The variety generated by the 3-element semiring S7 has exactly six finitely based subvarieties and contains a continuum of subvarieties, so S7 is of type 2^aleph0.