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3: 23

In[]:=
StringTuples["ABC",2]
Out[]=
{AA,AB,AC,BA,BB,BC,CA,CB,CC}
In[]:=
allrules=Rule@@@Tuples[{StringTuples["ABC",2],StringTuples["ABC",2]}]
Out[]=
In[]:=
InteractiveListSelectorSW[ParallelMapMonitored[MultiwaySystem[{#},{First[#]},7,"StatesGraphStructure"]#&,allrules]]
Out[]=
In[]:=
InteractiveListSelectorSW[ParallelMapMonitored[MultiwaySystem[{#},StringTuples["ABC",3],7,"StatesGraphStructure"]#&,allrules]]
Out[]=
In[]:=
InteractiveListSelectorSW[ParallelMapMonitored[Function[r,Labeled[MultiwaySystem[{r},StringTuples["ABC",4],9,"StatesGraphStructure"],Counts[CausalInvariantQ[{r},#,7]&/@StringTuples["ABC",4]]]r],allrules]]
Out[]=

3: 23

2: 24

2: 33

3: 33

Close, but not exactly CI
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