0.00/0.44	YES
0.00/0.46	
0.00/0.46	
0.00/0.46	Applying context closure of depth 1 in the following form: System R over Sigma
0.00/0.46	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
0.00/0.46	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
0.00/0.46	
0.00/0.46	Remains to prove termination of the 36-rule system
0.00/0.46	{ [a, a] [a, a] -> [a, a] ,
0.00/0.46	  [a, a] [a, a] -> [a, b] [b, b] [b, a] ,
0.00/0.46	  [a, a] [a, b] [b, a] -> [a, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [a, c] [c, c] [c, a] -> [a, a] ,
0.00/0.46	  [a, a] [a, b] -> [a, b] ,
0.00/0.46	  [a, a] [a, b] -> [a, b] [b, b] [b, b] ,
0.00/0.46	  [a, a] [a, b] [b, b] -> [a, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [a, c] [c, c] [c, b] -> [a, b] ,
0.00/0.46	  [a, a] [a, c] -> [a, c] ,
0.00/0.46	  [a, a] [a, c] -> [a, b] [b, b] [b, c] ,
0.00/0.46	  [a, a] [a, b] [b, c] -> [a, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [a, c] [c, c] [c, c] -> [a, c] ,
0.00/0.46	  [b, a] [a, a] -> [b, a] ,
0.00/0.46	  [b, a] [a, a] -> [b, b] [b, b] [b, a] ,
0.00/0.46	  [b, a] [a, b] [b, a] -> [b, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [b, c] [c, c] [c, a] -> [b, a] ,
0.00/0.46	  [b, a] [a, b] -> [b, b] ,
0.00/0.46	  [b, a] [a, b] -> [b, b] [b, b] [b, b] ,
0.00/0.46	  [b, a] [a, b] [b, b] -> [b, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [b, c] [c, c] [c, b] -> [b, b] ,
0.00/0.46	  [b, a] [a, c] -> [b, c] ,
0.00/0.46	  [b, a] [a, c] -> [b, b] [b, b] [b, c] ,
0.00/0.46	  [b, a] [a, b] [b, c] -> [b, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [b, c] [c, c] [c, c] -> [b, c] ,
0.00/0.46	  [c, a] [a, a] -> [c, a] ,
0.00/0.46	  [c, a] [a, a] -> [c, b] [b, b] [b, a] ,
0.00/0.46	  [c, a] [a, b] [b, a] -> [c, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [c, c] [c, c] [c, a] -> [c, a] ,
0.00/0.46	  [c, a] [a, b] -> [c, b] ,
0.00/0.46	  [c, a] [a, b] -> [c, b] [b, b] [b, b] ,
0.00/0.46	  [c, a] [a, b] [b, b] -> [c, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [c, c] [c, c] [c, b] -> [c, b] ,
0.00/0.46	  [c, a] [a, c] -> [c, c] ,
0.00/0.46	  [c, a] [a, c] -> [c, b] [b, b] [b, c] ,
0.00/0.46	  [c, a] [a, b] [b, c] -> [c, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [c, c] [c, c] [c, c] -> [c, c] }
0.00/0.46	
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	[a, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 2 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[a, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 2 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[a, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 16-rule system
0.00/0.46	{ [a, a] [a, b] [b, a] -> [a, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [a, c] [c, c] [c, a] -> [a, a] ,
0.00/0.46	  [a, a] [a, b] [b, b] -> [a, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [a, c] [c, c] [c, b] -> [a, b] ,
0.00/0.46	  [a, a] [a, c] -> [a, b] [b, b] [b, c] ,
0.00/0.46	  [a, a] [a, b] [b, c] -> [a, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [b, a] [a, b] [b, a] -> [b, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [b, a] [a, b] [b, b] -> [b, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [b, a] [a, c] -> [b, c] ,
0.00/0.46	  [b, a] [a, c] -> [b, b] [b, b] [b, c] ,
0.00/0.46	  [b, a] [a, b] [b, c] -> [b, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [c, a] [a, b] [b, a] -> [c, a] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [c, a] [a, b] [b, b] -> [c, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [c, a] [a, c] -> [c, c] ,
0.00/0.46	  [c, a] [a, c] -> [c, b] [b, b] [b, c] ,
0.00/0.46	  [c, a] [a, b] [b, c] -> [c, a] [a, c] [c, a] [a, c] [c, c] }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	[a, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[a, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[a, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, a] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[c, b] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	[b, c] is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 11-rule system
0.00/0.46	{ [a, c] [c, c] [c, a] -> [a, a] ,
0.00/0.46	  [a, a] [a, b] [b, b] -> [a, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [a, c] [c, c] [c, b] -> [a, b] ,
0.00/0.46	  [a, a] [a, c] -> [a, b] [b, b] [b, c] ,
0.00/0.46	  [a, a] [a, b] [b, c] -> [a, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [b, a] [a, b] [b, b] -> [b, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [b, a] [a, b] [b, c] -> [b, a] [a, c] [c, a] [a, c] [c, c] ,
0.00/0.46	  [c, a] [a, b] [b, b] -> [c, a] [a, c] [c, a] [a, c] [c, b] ,
0.00/0.46	  [c, a] [a, c] -> [c, c] ,
0.00/0.46	  [c, a] [a, c] -> [c, b] [b, b] [b, c] ,
0.00/0.46	  [c, a] [a, b] [b, c] -> [c, a] [a, c] [c, a] [a, c] [c, c] }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was reversed.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 11-rule system
0.00/0.46	{ [c, a] [c, c] [a, c] -> [a, a] ,
0.00/0.46	  [b, b] [a, b] [a, a] -> [c, b] [a, c] [c, a] [a, c] [a, a] ,
0.00/0.46	  [c, b] [c, c] [a, c] -> [a, b] ,
0.00/0.46	  [a, c] [a, a] -> [b, c] [b, b] [a, b] ,
0.00/0.46	  [b, c] [a, b] [a, a] -> [c, c] [a, c] [c, a] [a, c] [a, a] ,
0.00/0.46	  [b, b] [a, b] [b, a] -> [c, b] [a, c] [c, a] [a, c] [b, a] ,
0.00/0.46	  [b, c] [a, b] [b, a] -> [c, c] [a, c] [c, a] [a, c] [b, a] ,
0.00/0.46	  [b, b] [a, b] [c, a] -> [c, b] [a, c] [c, a] [a, c] [c, a] ,
0.00/0.46	  [a, c] [c, a] -> [c, c] ,
0.00/0.46	  [a, c] [c, a] -> [b, c] [b, b] [c, b] ,
0.00/0.46	  [b, c] [a, b] [c, a] -> [c, c] [a, c] [c, a] [a, c] [c, a] }
0.00/0.46	
0.00/0.46	
0.00/0.46	The dependency pairs transformation was applied.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 39-rule system
0.00/0.46	{ ([b, b],true) ([a, b],false) ([a, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([c, a],true) ([a, c],false) ([a, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([a, a],false) ,
0.00/0.46	  ([a, c],true) ([a, a],false) -> ([b, c],true) ([b, b],false) ([a, b],false) ,
0.00/0.46	  ([a, c],true) ([a, a],false) -> ([b, b],true) ([a, b],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([c, a],true) ([a, c],false) ([a, a],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([a, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([c, a],true) ([a, c],false) ([b, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([c, a],true) ([a, c],false) ([b, a],false) ,
0.00/0.46	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([c, a],true) ([a, c],false) ([c, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ,
0.00/0.46	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([c, a],true) ,
0.00/0.47	  ([a, c],true) ([c, a],false) -> ([b, c],true) ([b, b],false) ([c, b],false) ,
0.00/0.47	  ([a, c],true) ([c, a],false) -> ([b, b],true) ([c, b],false) ,
0.00/0.47	  ([a, c],true) ([c, a],false) -> ([c, b],true) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([c, a],true) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([c, a],true) ,
0.00/0.47	  ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([c, b],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ,
0.00/0.47	  ([a, c],false) ([a, a],false) ->= ([b, c],false) ([b, b],false) ([a, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([b, c],false) ([b, b],false) ([c, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	([b, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 2 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 2 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 20-rule system
0.00/0.47	{ ([b, b],true) ([a, b],false) ([a, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([c, b],true) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([c, b],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ,
0.00/0.47	  ([a, c],false) ([a, a],false) ->= ([b, c],false) ([b, b],false) ([a, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([b, c],false) ([b, b],false) ([c, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	([b, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 14-rule system
0.00/0.47	{ ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([c, b],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ,
0.00/0.47	  ([a, c],false) ([a, a],false) ->= ([b, c],false) ([b, b],false) ([a, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([b, c],false) ([b, b],false) ([c, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.47	
0.00/0.47	([b, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([a, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, a],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],true) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 1 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, a],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, b],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([c, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	([b, c],false) is interpreted by
0.00/0.47	 /   \
0.00/0.47	| 1 0 |
0.00/0.47	| 0 1 |
0.00/0.47	 \   /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 11-rule system
0.00/0.47	{ ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([c, b],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ,
0.00/0.47	  ([a, c],false) ([a, a],false) ->= ([b, c],false) ([b, b],false) ([a, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([a, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([b, a],false) ,
0.00/0.47	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([c, b],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
0.00/0.47	  ([a, c],false) ([c, a],false) ->= ([b, c],false) ([b, b],false) ([c, b],false) ,
0.00/0.47	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([c, c],false) ([a, c],false) ([c, a],false) ([a, c],false) ([c, a],false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system is trivially terminating.
0.00/0.48	EOF