9.86/2.79	YES
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was inverted.
10.19/2.84	
10.19/2.84	Remains to prove termination of the 7-rule system
10.19/2.84	{ a a b -> a c b ,
10.19/2.84	  c c c -> a b a ,
10.19/2.84	  b c b -> b a c ,
10.19/2.84	  b b c ->= c a b ,
10.19/2.84	  b b b ->= a b b ,
10.19/2.84	  b b c ->= b c c ,
10.19/2.84	  b a a ->= a c c }
10.19/2.84	
10.19/2.84	
10.19/2.84	Applying context closure of depth 1 in the following form: System R over Sigma
10.19/2.84	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
10.19/2.84	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
10.19/2.84	
10.19/2.84	Remains to prove termination of the 63-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, b] [b, a] [a, c] [c, a] -> [a, b] [b, c] [c, b] [b, a] ,
10.19/2.84	  [a, c] [c, a] [a, b] [b, a] ->= [a, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [a, a] [a, b] [b, b] [b, a] ->= [a, b] [b, b] [b, b] [b, a] ,
10.19/2.84	  [a, b] [b, c] [c, c] [c, a] ->= [a, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, a] [a, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, c] -> [a, c] [c, c] [c, c] [c, c] ,
10.19/2.84	  [a, b] [b, a] [a, c] [c, c] -> [a, b] [b, c] [c, b] [b, c] ,
10.19/2.84	  [a, c] [c, a] [a, b] [b, c] ->= [a, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [a, a] [a, b] [b, b] [b, c] ->= [a, b] [b, b] [b, b] [b, c] ,
10.19/2.84	  [a, b] [b, c] [c, c] [c, c] ->= [a, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [a, b] [b, a] [a, c] [c, b] -> [a, b] [b, c] [c, b] [b, b] ,
10.19/2.84	  [a, c] [c, a] [a, b] [b, b] ->= [a, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [a, a] [a, b] [b, b] [b, b] ->= [a, b] [b, b] [b, b] [b, b] ,
10.19/2.84	  [a, b] [b, c] [c, c] [c, b] ->= [a, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, a] [a, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, a] -> [c, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [c, b] [b, a] [a, c] [c, a] -> [c, b] [b, c] [c, b] [b, a] ,
10.19/2.84	  [c, c] [c, a] [a, b] [b, a] ->= [c, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [c, a] [a, b] [b, b] [b, a] ->= [c, b] [b, b] [b, b] [b, a] ,
10.19/2.84	  [c, b] [b, c] [c, c] [c, a] ->= [c, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, a] [a, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, c] -> [c, c] [c, c] [c, c] [c, c] ,
10.19/2.84	  [c, b] [b, a] [a, c] [c, c] -> [c, b] [b, c] [c, b] [b, c] ,
10.19/2.84	  [c, c] [c, a] [a, b] [b, c] ->= [c, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [c, a] [a, b] [b, b] [b, c] ->= [c, b] [b, b] [b, b] [b, c] ,
10.19/2.84	  [c, b] [b, c] [c, c] [c, c] ->= [c, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, b] -> [c, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, b] [b, a] [a, c] [c, b] -> [c, b] [b, c] [c, b] [b, b] ,
10.19/2.84	  [c, c] [c, a] [a, b] [b, b] ->= [c, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [c, a] [a, b] [b, b] [b, b] ->= [c, b] [b, b] [b, b] [b, b] ,
10.19/2.84	  [c, b] [b, c] [c, c] [c, b] ->= [c, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, a] [a, b] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, a] -> [b, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [b, a] [a, b] [b, a] [a, a] -> [b, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [b, b] [b, a] [a, c] [c, a] -> [b, b] [b, c] [c, b] [b, a] ,
10.19/2.84	  [b, c] [c, a] [a, b] [b, a] ->= [b, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [b, a] [a, b] [b, b] [b, a] ->= [b, b] [b, b] [b, b] [b, a] ,
10.19/2.84	  [b, b] [b, c] [c, c] [c, a] ->= [b, b] [b, b] [b, c] [c, a] ,
10.19/2.84	  [b, a] [a, c] [c, c] [c, a] ->= [b, b] [b, a] [a, a] [a, a] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, c] -> [b, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [b, a] [a, b] [b, a] [a, c] -> [b, c] [c, c] [c, c] [c, c] ,
10.19/2.84	  [b, b] [b, a] [a, c] [c, c] -> [b, b] [b, c] [c, b] [b, c] ,
10.19/2.84	  [b, c] [c, a] [a, b] [b, c] ->= [b, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [b, a] [a, b] [b, b] [b, c] ->= [b, b] [b, b] [b, b] [b, c] ,
10.19/2.84	  [b, b] [b, c] [c, c] [c, c] ->= [b, b] [b, b] [b, c] [c, c] ,
10.19/2.84	  [b, a] [a, c] [c, c] [c, c] ->= [b, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, b] -> [b, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [b, a] [a, b] [b, a] [a, b] -> [b, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [b, b] [b, a] [a, c] [c, b] -> [b, b] [b, c] [c, b] [b, b] ,
10.19/2.84	  [b, c] [c, a] [a, b] [b, b] ->= [b, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [b, a] [a, b] [b, b] [b, b] ->= [b, b] [b, b] [b, b] [b, b] ,
10.19/2.84	  [b, b] [b, c] [c, c] [c, b] ->= [b, b] [b, b] [b, c] [c, b] ,
10.19/2.84	  [b, a] [a, c] [c, c] [c, b] ->= [b, b] [b, a] [a, a] [a, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 2:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 1 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 0 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 21-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, a] ->= [a, b] [b, a] [a, a] [a, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, c] -> [a, c] [c, c] [c, c] [c, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, b] ->= [a, b] [b, a] [a, a] [a, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, a] -> [c, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, a] ->= [c, b] [b, a] [a, a] [a, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, c] -> [c, c] [c, c] [c, c] [c, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [c, a] [a, b] [b, a] [a, b] -> [c, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, b] ->= [c, b] [b, a] [a, a] [a, b] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, a] -> [b, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, c] -> [b, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, b] -> [b, a] [a, a] [a, b] [b, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 2:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /     \
10.19/2.84	|  1 12 |
10.19/2.84	|  0  1 |
10.19/2.84	 \     /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /     \
10.19/2.84	|  1 22 |
10.19/2.84	|  0  1 |
10.19/2.84	 \     /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /     \
10.19/2.84	|  1 11 |
10.19/2.84	|  0  1 |
10.19/2.84	 \     /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 1 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /     \
10.19/2.84	|  1 21 |
10.19/2.84	|  0  1 |
10.19/2.84	 \     /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /     \
10.19/2.84	|  1 11 |
10.19/2.84	|  0  1 |
10.19/2.84	 \     /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 2 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 0 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /   \
10.19/2.84	| 1 0 |
10.19/2.84	| 0 1 |
10.19/2.84	 \   /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 13-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, a] -> [b, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, c] -> [b, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, b] -> [b, a] [a, a] [a, b] [b, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 5:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 1 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 12-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, a] -> [b, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, b] -> [b, a] [a, a] [a, b] [b, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 5:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 1 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 11-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [b, a] [a, c] [c, b] [b, a] -> [b, a] [a, a] [a, b] [b, a] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 5:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 1 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /         \
10.19/2.84	| 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 |
10.19/2.84	 \         /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 10-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, c] -> [a, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 8:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 1 0 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 1 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 1 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 1 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[a, b] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 1 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[c, c] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 1 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[c, a] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[b, c] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[b, b] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	
10.19/2.84	Remains to prove termination of the 9-rule system
10.19/2.84	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.84	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [a, a] [a, c] [c, b] [b, b] -> [a, a] [a, a] [a, b] [b, b] ,
10.19/2.84	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.84	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.84	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] }
10.19/2.84	
10.19/2.84	
10.19/2.84	The system was filtered by the following matrix interpretation
10.19/2.84	of type E_J with J = {1,...,2} and dimension 8:
10.19/2.84	
10.19/2.84	[a, a] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 1 0 0 1 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[a, c] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 0 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 1 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[c, b] is interpreted by
10.19/2.84	 /               \
10.19/2.84	| 1 0 0 0 0 0 1 0 |
10.19/2.84	| 0 1 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 1 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	| 0 0 0 0 0 0 0 0 |
10.19/2.84	 \               /
10.19/2.84	[b, a] is interpreted by
10.19/2.84	 /               \
10.19/2.85	| 1 0 0 0 0 1 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 1 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 1 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 8-rule system
10.19/2.85	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.85	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, c] -> [c, a] [a, a] [a, b] [b, c] ,
10.19/2.85	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system was filtered by the following matrix interpretation
10.19/2.85	of type E_J with J = {1,...,2} and dimension 8:
10.19/2.85	
10.19/2.85	[a, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 1 0 0 1 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[a, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 1 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 1 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 1 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 1 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 1 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 7-rule system
10.19/2.85	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.85	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, b] -> [c, a] [a, a] [a, b] [b, b] }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system was filtered by the following matrix interpretation
10.19/2.85	of type E_J with J = {1,...,2} and dimension 8:
10.19/2.85	
10.19/2.85	[a, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 1 0 0 1 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[a, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 1 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 1 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 1 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 1 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 1 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /               \
10.19/2.85	| 1 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 0 0 0 |
10.19/2.85	 \               /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 6-rule system
10.19/2.85	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.85	  [a, a] [a, c] [c, c] [c, c] ->= [a, b] [b, a] [a, a] [a, c] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [c, a] [a, c] [c, c] [c, c] ->= [c, b] [b, a] [a, a] [a, c] }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system was filtered by the following matrix interpretation
10.19/2.85	of type E_J with J = {1,...,2} and dimension 5:
10.19/2.85	
10.19/2.85	[a, a] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 1 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[a, c] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 1 |
10.19/2.85	| 0 1 0 1 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[c, b] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[b, a] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 2 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 1 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 1 |
10.19/2.85	| 0 1 0 1 0 |
10.19/2.85	 \         /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 1 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /         \
10.19/2.85	| 1 0 0 0 0 |
10.19/2.85	| 0 1 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	| 0 0 0 0 0 |
10.19/2.85	 \         /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 4-rule system
10.19/2.85	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, a] -> [a, c] [c, c] [c, c] [c, a] ,
10.19/2.85	  [a, a] [a, b] [b, a] [a, b] -> [a, c] [c, c] [c, c] [c, b] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system was filtered by the following matrix interpretation
10.19/2.85	of type E_J with J = {1,...,2} and dimension 2:
10.19/2.85	
10.19/2.85	[a, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[a, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 1 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 2-rule system
10.19/2.85	{ [a, a] [a, c] [c, b] [b, a] -> [a, a] [a, a] [a, b] [b, a] ,
10.19/2.85	  [c, a] [a, c] [c, b] [b, a] -> [c, a] [a, a] [a, b] [b, a] }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system was filtered by the following matrix interpretation
10.19/2.85	of type E_J with J = {1,...,2} and dimension 2:
10.19/2.85	
10.19/2.85	[a, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[a, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 1 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[a, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[c, a] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, c] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	[b, b] is interpreted by
10.19/2.85	 /   \
10.19/2.85	| 1 0 |
10.19/2.85	| 0 1 |
10.19/2.85	 \   /
10.19/2.85	
10.19/2.85	Remains to prove termination of the 0-rule system
10.19/2.85	{ }
10.19/2.85	
10.19/2.85	
10.19/2.85	The system is trivially terminating.
10.36/2.94	EOF