Groupings[Table[s,5],Construct2]
In[]:=
{s[s][s][s][s],s[s[s][s][s]],s[s[s][s]][s],s[s[s[s][s]]],s[s[s]][s][s],s[s[s[s]][s]],s[s[s[s]]][s],s[s[s[s[s]]]],s[s][s[s]][s],s[s[s][s[s]]],s[s][s][s[s]],s[s][s[s][s]],s[s[s]][s[s]],s[s][s[s[s]]]}
Out[]=
ResourceFunction["MultiwayCombinator"][skrules,#,15,"StatesGraphStructure"]&/@Groupings[Table[s,5],Construct2]
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ResourceFunction["MultiwayCombinator"][skrules,#,15,"StatesGraphStructure"]&/@Groupings[Table[s,6],Construct2]
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Out[]=

Size 8

[ Including k ]