17.79/4.84	YES
18.17/4.89	
18.17/4.89	
18.17/4.89	Applying context closure of depth 1 in the following form: System R over Sigma
18.17/4.89	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
18.17/4.89	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
18.17/4.89	
18.17/4.89	Remains to prove termination of the 54-rule system
18.17/4.89	{ [a, a] [a, b] [b, b] [b, a] -> [a, c] [c, b] [b, c] [c, a] ,
18.17/4.89	  [a, c] [c, a] [a, b] [b, a] -> [a, a] [a, c] [c, b] [b, a] ,
18.17/4.89	  [a, c] [c, c] [c, a] [a, a] -> [a, c] [c, b] [b, b] [b, a] ,
18.17/4.89	  [a, b] [b, c] [c, c] [c, a] ->= [a, b] [b, a] [a, c] [c, a] ,
18.17/4.89	  [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, b] [b, a] [a, a] ,
18.17/4.89	  [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.89	  [a, a] [a, b] [b, b] [b, b] -> [a, c] [c, b] [b, c] [c, b] ,
18.17/4.89	  [a, c] [c, a] [a, b] [b, b] -> [a, a] [a, c] [c, b] [b, b] ,
18.17/4.89	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.89	  [a, b] [b, c] [c, c] [c, b] ->= [a, b] [b, a] [a, c] [c, b] ,
18.17/4.89	  [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, b] [b, a] [a, b] ,
18.17/4.89	  [a, c] [c, c] [c, b] [b, b] ->= [a, c] [c, a] [a, c] [c, b] ,
18.17/4.89	  [a, a] [a, b] [b, b] [b, c] -> [a, c] [c, b] [b, c] [c, c] ,
18.17/4.89	  [a, c] [c, a] [a, b] [b, c] -> [a, a] [a, c] [c, b] [b, c] ,
18.17/4.89	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.89	  [a, b] [b, c] [c, c] [c, c] ->= [a, b] [b, a] [a, c] [c, c] ,
18.17/4.89	  [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, b] [b, a] [a, c] ,
18.17/4.89	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.89	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.89	  [b, c] [c, a] [a, b] [b, a] -> [b, a] [a, c] [c, b] [b, a] ,
18.17/4.89	  [b, c] [c, c] [c, a] [a, a] -> [b, c] [c, b] [b, b] [b, a] ,
18.17/4.89	  [b, b] [b, c] [c, c] [c, a] ->= [b, b] [b, a] [a, c] [c, a] ,
18.17/4.89	  [b, a] [a, c] [c, b] [b, a] ->= [b, c] [c, b] [b, a] [a, a] ,
18.17/4.89	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.89	  [b, a] [a, b] [b, b] [b, b] -> [b, c] [c, b] [b, c] [c, b] ,
18.17/4.89	  [b, c] [c, a] [a, b] [b, b] -> [b, a] [a, c] [c, b] [b, b] ,
18.17/4.89	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.89	  [b, b] [b, c] [c, c] [c, b] ->= [b, b] [b, a] [a, c] [c, b] ,
18.17/4.89	  [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, b] [b, a] [a, b] ,
18.17/4.89	  [b, c] [c, c] [c, b] [b, b] ->= [b, c] [c, a] [a, c] [c, b] ,
18.17/4.89	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.89	  [b, c] [c, a] [a, b] [b, c] -> [b, a] [a, c] [c, b] [b, c] ,
18.17/4.89	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.89	  [b, b] [b, c] [c, c] [c, c] ->= [b, b] [b, a] [a, c] [c, c] ,
18.17/4.89	  [b, a] [a, c] [c, b] [b, c] ->= [b, c] [c, b] [b, a] [a, c] ,
18.17/4.89	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.89	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.89	  [c, c] [c, a] [a, b] [b, a] -> [c, a] [a, c] [c, b] [b, a] ,
18.17/4.89	  [c, c] [c, c] [c, a] [a, a] -> [c, c] [c, b] [b, b] [b, a] ,
18.17/4.89	  [c, b] [b, c] [c, c] [c, a] ->= [c, b] [b, a] [a, c] [c, a] ,
18.17/4.89	  [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, b] [b, a] [a, a] ,
18.17/4.89	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.89	  [c, a] [a, b] [b, b] [b, b] -> [c, c] [c, b] [b, c] [c, b] ,
18.17/4.89	  [c, c] [c, a] [a, b] [b, b] -> [c, a] [a, c] [c, b] [b, b] ,
18.17/4.89	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.89	  [c, b] [b, c] [c, c] [c, b] ->= [c, b] [b, a] [a, c] [c, b] ,
18.17/4.89	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.89	  [c, c] [c, c] [c, b] [b, b] ->= [c, c] [c, a] [a, c] [c, b] ,
18.17/4.89	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.89	  [c, c] [c, a] [a, b] [b, c] -> [c, a] [a, c] [c, b] [b, c] ,
18.17/4.89	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.89	  [c, b] [b, c] [c, c] [c, c] ->= [c, b] [b, a] [a, c] [c, c] ,
18.17/4.89	  [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, b] [b, a] [a, c] ,
18.17/4.89	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.89	
18.17/4.89	
18.17/4.89	
18.17/4.89	The system was filtered by the following matrix interpretation
18.17/4.89	of type E_J with J = {1,...,2} and dimension 2:
18.17/4.89	
18.17/4.89	[a, a] is interpreted by
18.17/4.89	 /   \
18.17/4.89	| 1 2 |
18.17/4.89	| 0 1 |
18.17/4.89	 \   /
18.17/4.89	[a, b] is interpreted by
18.17/4.89	 /   \
18.17/4.89	| 1 1 |
18.17/4.89	| 0 1 |
18.17/4.89	 \   /
18.17/4.89	[b, b] is interpreted by
18.17/4.89	 /   \
18.17/4.89	| 1 3 |
18.17/4.89	| 0 1 |
18.17/4.89	 \   /
18.17/4.89	[b, a] is interpreted by
18.17/4.89	 /   \
18.17/4.89	| 1 4 |
18.17/4.89	| 0 1 |
18.17/4.89	 \   /
18.17/4.89	[a, c] is interpreted by
18.17/4.89	 /   \
18.17/4.89	| 1 3 |
18.17/4.89	| 0 1 |
18.17/4.89	 \   /
18.17/4.89	[c, b] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 5 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 2 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 3 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 30-rule system
18.17/4.90	{ [a, a] [a, b] [b, b] [b, a] -> [a, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, a] -> [a, c] [c, b] [b, b] [b, a] ,
18.17/4.90	  [a, a] [a, c] [c, b] [b, a] ->= [a, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, a] [a, c] [c, b] [b, b] ->= [a, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [a, a] [a, b] [b, b] [b, c] -> [a, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, a] [a, c] [c, b] [b, c] ->= [a, c] [c, b] [b, a] [a, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, a] -> [b, c] [c, b] [b, b] [b, a] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, a] ->= [b, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, c] ->= [b, c] [c, b] [b, a] [a, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, a] -> [c, c] [c, b] [b, b] [b, a] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, c] ->= [c, c] [c, b] [b, a] [a, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 5:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 1 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 2 1 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 1 1 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 1 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 2 0 1 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 1 0 1 0 |
18.17/4.90	 \         /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 20-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, a] ->= [b, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 5:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 19-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, c] [c, b] [b, b] ->= [b, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 8:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 1 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 1 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 1 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 18-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, a] ->= [c, c] [c, b] [b, a] [a, a] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 5:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 17-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, a] -> [b, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, a] -> [c, c] [c, b] [b, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 5:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 1 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 1 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 1 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /         \
18.17/4.90	| 1 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 |
18.17/4.90	 \         /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 15-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, b] -> [a, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 8:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 1 0 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 1 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 1 0 |
18.17/4.90	 \               /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 14-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, a] [a, b] [b, b] [b, c] -> [b, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 8:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 1 0 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 13-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, a] [a, b] [b, b] [b, c] -> [c, c] [c, b] [b, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 8:
18.17/4.90	
18.17/4.90	[a, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 1 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 1 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 1 0 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 1 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 1 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 1 0 0 1 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /               \
18.17/4.90	| 1 0 0 0 0 0 0 0 |
18.17/4.90	| 0 1 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	| 0 0 0 0 0 0 0 0 |
18.17/4.90	 \               /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 12-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, a] [a, c] -> [a, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, b] -> [b, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [b, c] [c, c] [c, a] [a, c] -> [b, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, b] -> [c, c] [c, b] [b, b] [b, b] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, c] [c, c] [c, a] [a, c] -> [c, c] [c, b] [b, b] [b, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system was filtered by the following matrix interpretation
18.17/4.90	of type E_J with J = {1,...,2} and dimension 2:
18.17/4.90	
18.17/4.90	[a, b] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[b, b] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[b, a] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[a, c] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[c, b] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 2 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[b, c] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 0 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[c, a] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 2 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	[c, c] is interpreted by
18.17/4.90	 /   \
18.17/4.90	| 1 2 |
18.17/4.90	| 0 1 |
18.17/4.90	 \   /
18.17/4.90	
18.17/4.90	Remains to prove termination of the 7-rule system
18.17/4.90	{ [a, c] [c, c] [c, b] [b, a] ->= [a, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [a, c] [c, c] [c, b] [b, c] ->= [a, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, a] ->= [b, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [b, c] [c, c] [c, b] [b, c] ->= [b, c] [c, a] [a, c] [c, c] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, a] ->= [c, c] [c, a] [a, c] [c, a] ,
18.17/4.90	  [c, a] [a, c] [c, b] [b, b] ->= [c, c] [c, b] [b, a] [a, b] ,
18.17/4.90	  [c, c] [c, c] [c, b] [b, c] ->= [c, c] [c, a] [a, c] [c, c] }
18.17/4.90	
18.17/4.90	
18.17/4.90	The system is trivially terminating.
18.27/4.93	EOF