6.70/2.11	YES
6.84/2.14	
6.84/2.14	
6.84/2.14	Applying context closure of depth 1 in the following form: System R over Sigma
6.84/2.14	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
6.84/2.14	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
6.84/2.14	
6.84/2.14	Remains to prove termination of the 4-rule system
6.84/2.14	{ [a, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] ,
6.84/2.14	  [a, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] ,
6.84/2.14	  [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] ,
6.84/2.14	  [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] }
6.84/2.14	
6.84/2.14	
6.84/2.14	
6.84/2.14	The system was filtered by the following matrix interpretation
6.84/2.14	of type E_J with J = {1,...,2} and dimension 11:
6.84/2.14	
6.84/2.14	[a, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 1 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 1 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 1 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 1 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 1 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 1 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 1 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[a, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 1 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 1 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	
6.84/2.14	Remains to prove termination of the 3-rule system
6.84/2.14	{ [a, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] ,
6.84/2.14	  [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] ,
6.84/2.14	  [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, b] }
6.84/2.14	
6.84/2.14	
6.84/2.14	The system was filtered by the following matrix interpretation
6.84/2.14	of type E_J with J = {1,...,2} and dimension 11:
6.84/2.14	
6.84/2.14	[a, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 1 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 1 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 1 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 1 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 1 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 1 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 1 |
6.84/2.14	| 0 0 0 0 1 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[a, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 1 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 1 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 1 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	
6.84/2.14	Remains to prove termination of the 2-rule system
6.84/2.14	{ [a, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] ,
6.84/2.14	  [b, a] [a, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, a] [a, b] [b, a] [a, b] [b, a] }
6.84/2.14	
6.84/2.14	
6.84/2.14	The system was filtered by the following matrix interpretation
6.84/2.14	of type E_J with J = {1,...,2} and dimension 11:
6.84/2.14	
6.84/2.14	[a, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 1 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 2 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 1 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 1 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 1 0 0 0 |
6.84/2.14	| 0 0 1 0 0 0 0 0 1 0 0 |
6.84/2.14	| 0 0 1 0 0 0 0 0 0 1 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 1 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[a, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 1 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, a] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 1 0 0 0 0 0 1 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	[b, b] is interpreted by
6.84/2.14	 /                     \
6.84/2.14	| 1 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 1 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	| 0 0 0 0 0 0 0 0 0 0 0 |
6.84/2.14	 \                     /
6.84/2.14	
6.84/2.14	Remains to prove termination of the 0-rule system
6.84/2.14	{ }
6.84/2.14	
6.84/2.14	
6.84/2.14	The system is trivially terminating.
6.93/2.18	EOF