12.96/3.53	YES
12.96/3.59	
12.96/3.59	
12.96/3.59	Applying context closure of depth 1 in the following form: System R over Sigma
12.96/3.59	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
12.96/3.59	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
12.96/3.59	
12.96/3.59	Remains to prove termination of the 54-rule system
12.96/3.59	{ [c, c] [c, c] [c, c] [c, c] -> [c, c] [c, a] [a, a] [a, c] ,
12.96/3.59	  [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.59	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.59	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.59	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.59	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, c] [c, c] ,
12.96/3.59	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.59	  [c, b] [b, a] [a, b] [b, a] -> [c, b] [b, b] [b, c] [c, a] ,
12.96/3.59	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.59	  [c, b] [b, a] [a, a] [a, a] -> [c, a] [a, b] [b, c] [c, a] ,
12.96/3.59	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.59	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.59	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.59	  [c, b] [b, a] [a, b] [b, b] -> [c, b] [b, b] [b, c] [c, b] ,
12.96/3.59	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.59	  [c, b] [b, a] [a, a] [a, b] -> [c, a] [a, b] [b, c] [c, b] ,
12.96/3.59	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.59	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.59	  [a, c] [c, c] [c, c] [c, c] -> [a, c] [c, a] [a, a] [a, c] ,
12.96/3.59	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.59	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.59	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.59	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.59	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.59	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.59	  [a, b] [b, a] [a, b] [b, a] -> [a, b] [b, b] [b, c] [c, a] ,
12.96/3.59	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.59	  [a, b] [b, a] [a, a] [a, a] -> [a, a] [a, b] [b, c] [c, a] ,
12.96/3.59	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, b] -> [a, b] [b, b] [b, c] [c, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, b] -> [a, a] [a, b] [b, c] [c, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, c] -> [b, c] [c, a] [a, a] [a, c] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, b] [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, a] -> [b, b] [b, b] [b, c] [c, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, c] [c, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, b] -> [b, b] [b, b] [b, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, c] [c, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 2:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 39-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, b] [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 38-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, b] [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 11:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 1 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 1 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 1 0 0 2 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 1 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 1 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 37-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, b] [b, a] [a, b] [b, c] -> [b, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 36-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, c] -> [b, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 35-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 33-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, a] -> [b, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, b] [b, b] [b, c] [c, b] -> [b, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 31-rule system
12.96/3.60	{ [c, b] [b, a] [a, b] [b, c] -> [c, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 11:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 1 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 1 0 2 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 1 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 1 0 0 |
12.96/3.60	| 0 0 0 0 1 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 1 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 30-rule system
12.96/3.60	{ [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, c] -> [c, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 29-rule system
12.96/3.60	{ [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, a] -> [c, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [c, b] [b, b] [b, c] [c, b] -> [c, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 27-rule system
12.96/3.60	{ [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, c] -> [b, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 26-rule system
12.96/3.60	{ [c, c] [c, a] [a, a] [a, c] -> [c, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, c] -> [a, c] [c, b] [b, a] [a, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 24-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, b] [b, c] -> [a, b] [b, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 11:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 1 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 1 0 2 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 1 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 1 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 1 0 0 |
12.96/3.60	| 0 0 0 0 1 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 1 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /                     \
12.96/3.60	| 1 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 0 0 0 0 0 0 |
12.96/3.60	 \                     /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 23-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, a] -> [c, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, c] [c, c] [c, b] -> [c, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, a] -> [a, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, c] [c, c] [c, b] -> [a, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, a] -> [b, c] [c, a] [a, a] [a, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, c] [c, c] [c, b] -> [b, c] [c, a] [a, a] [a, b] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 2:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /       \
12.96/3.60	|   1 502 |
12.96/3.60	|   0   1 |
12.96/3.60	 \       /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /       \
12.96/3.60	|   1 499 |
12.96/3.60	|   0   1 |
12.96/3.60	 \       /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /       \
12.96/3.60	|   1 501 |
12.96/3.60	|   0   1 |
12.96/3.60	 \       /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	|    1 1000 |
12.96/3.60	|    0    1 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 2 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /       \
12.96/3.60	|   1 498 |
12.96/3.60	|   0   1 |
12.96/3.60	 \       /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /       \
12.96/3.60	|   1 502 |
12.96/3.60	|   0   1 |
12.96/3.60	 \       /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 14-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 2:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 13-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, c] -> [a, a] [a, a] [a, c] [c, c] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 12-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, b] -> [b, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 11-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, a] -> [a, a] [a, a] [a, c] [c, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, b] [b, b] [b, c] [c, b] -> [a, a] [a, a] [a, c] [c, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 5:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 1 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 1 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /         \
12.96/3.60	| 1 0 0 0 0 |
12.96/3.60	| 0 1 0 0 0 |
12.96/3.60	| 0 0 0 1 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	| 0 0 0 0 0 |
12.96/3.60	 \         /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 9-rule system
12.96/3.60	{ [c, b] [b, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] [c, c] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, a] -> [c, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [c, c] [c, a] [a, a] [a, b] -> [c, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, a] -> [a, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [a, c] [c, a] [a, a] [a, b] -> [a, c] [c, b] [b, a] [a, b] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, c] [c, a] [a, a] [a, a] -> [b, c] [c, b] [b, a] [a, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system was filtered by the following matrix interpretation
12.96/3.60	of type E_J with J = {1,...,2} and dimension 2:
12.96/3.60	
12.96/3.60	[c, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 1 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[c, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, a] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[a, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, c] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	[b, b] is interpreted by
12.96/3.60	 /   \
12.96/3.60	| 1 0 |
12.96/3.60	| 0 1 |
12.96/3.60	 \   /
12.96/3.60	
12.96/3.60	Remains to prove termination of the 3-rule system
12.96/3.60	{ [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
12.96/3.60	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] }
12.96/3.60	
12.96/3.60	
12.96/3.60	The system is trivially terminating.
13.26/3.65	EOF