2.58/0.86	YES
2.58/0.90	
2.58/0.90	
2.58/0.90	Applying context closure of depth 1 in the following form: System R over Sigma
2.58/0.90	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
2.58/0.90	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
2.58/0.90	
2.58/0.90	Remains to prove termination of the 4-rule system
2.58/0.90	{ [a, a] [a, b] [b, 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, b] [b, b] [b, a] [a, b] [b, b] [b, a] ,
2.58/0.90	  [a, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] ,
2.58/0.90	  [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] ,
2.58/0.90	  [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] }
2.58/0.90	
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was filtered by the following matrix interpretation
2.58/0.90	of type E_J with J = {1,...,2} and dimension 10:
2.58/0.90	
2.58/0.90	[a, a] is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 1 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 1 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 1 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 1 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 1 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	[a, b] is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 1 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	[b, b] is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 1 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	[b, a] is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 1 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	
2.58/0.90	Remains to prove termination of the 3-rule system
2.58/0.90	{ [a, a] [a, b] [b, 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, b] [b, b] [b, a] [a, b] [b, b] [b, a] ,
2.58/0.90	  [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, a] ,
2.58/0.90	  [b, a] [a, b] [b, b] [b, a] [a, a] [a, a] [a, a] [a, a] [a, b] -> [b, a] [a, a] [a, a] [a, a] [a, a] [a, a] [a, b] [b, b] [b, a] [a, b] [b, b] [b, b] }
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was reversed.
2.58/0.90	
2.58/0.90	Remains to prove termination of the 3-rule system
2.58/0.90	{ [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [a, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [a, a] ,
2.58/0.90	  [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, a] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] ,
2.58/0.90	  [a, b] [a, a] [a, a] [a, a] [a, a] [b, a] [b, b] [a, b] [b, a] -> [b, b] [b, b] [a, b] [b, a] [b, b] [a, b] [a, a] [a, a] [a, a] [a, a] [a, a] [b, a] }
2.58/0.90	
2.58/0.90	
2.58/0.90	The dependency pairs transformation was applied.
2.58/0.90	
2.58/0.90	Remains to prove termination of the 25-rule system
2.58/0.90	{ ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, b],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) }
2.58/0.90	
2.58/0.90	
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was filtered by the following matrix interpretation
2.58/0.90	of type E_J with J = {1,...,2} and dimension 10:
2.58/0.90	
2.58/0.90	([a, a],true) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, a],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 1 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 1 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 1 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 1 0 0 0 |
2.58/0.90	| 0 0 1 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([b, a],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 1 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([b, b],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 1 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, b],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 1 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 1 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, b],true) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 1 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	
2.58/0.90	Remains to prove termination of the 17-rule system
2.58/0.90	{ ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) }
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was filtered by the following matrix interpretation
2.58/0.90	of type E_J with J = {1,...,2} and dimension 2:
2.58/0.90	
2.58/0.90	([a, a],true) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 1 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, a],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([b, a],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([b, b],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, b],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, b],true) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	
2.58/0.90	Remains to prove termination of the 13-rule system
2.58/0.90	{ ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) }
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was filtered by the following matrix interpretation
2.58/0.90	of type E_J with J = {1,...,2} and dimension 2:
2.58/0.90	
2.58/0.90	([a, a],true) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, a],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 1 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([b, a],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([b, b],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, b],false) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	([a, b],true) is interpreted by
2.58/0.90	 /   \
2.58/0.90	| 1 0 |
2.58/0.90	| 0 1 |
2.58/0.90	 \   /
2.58/0.90	
2.58/0.90	Remains to prove termination of the 4-rule system
2.58/0.90	{ ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) }
2.58/0.90	
2.58/0.90	
2.58/0.90	The system was filtered by the following matrix interpretation
2.58/0.90	of type E_J with J = {1,...,2} and dimension 10:
2.58/0.90	
2.58/0.90	([a, a],true) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 1 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, a],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 1 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 1 0 0 0 0 1 |
2.58/0.90	| 0 0 0 0 0 1 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 1 0 0 0 |
2.58/0.90	| 0 0 2 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([b, a],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 1 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([b, b],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 1 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, b],false) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 1 0 0 1 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	([a, b],true) is interpreted by
2.58/0.90	 /                   \
2.58/0.90	| 1 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 1 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	| 0 0 0 0 0 0 0 0 0 0 |
2.58/0.90	 \                   /
2.58/0.90	
2.58/0.90	Remains to prove termination of the 2-rule system
2.58/0.90	{ ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ,
2.58/0.90	  ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ([a, b],false) ([b, a],false) ([b, b],false) ([a, b],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([a, a],false) ([b, a],false) }
2.58/0.90	
2.58/0.90	
2.58/0.90	The system is trivially terminating.
2.85/0.97	EOF