5.21/1.54	YES
5.21/1.59	
5.21/1.59	
5.21/1.59	Applying context closure of depth 1 in the following form: System R over Sigma
5.21/1.59	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
5.21/1.59	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
5.21/1.59	
5.21/1.59	Remains to prove termination of the 27-rule system
5.21/1.59	{ [a, a] [a, a] -> [a, a] ,
5.21/1.59	  [a, a] [a, b] [b, a] -> [a, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, a] -> [a, a] [a, b] [b, a] [a, a] ,
5.21/1.59	  [a, a] [a, b] -> [a, b] ,
5.21/1.59	  [a, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] ,
5.21/1.59	  [a, a] [a, c] -> [a, c] ,
5.21/1.59	  [a, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, c] -> [a, a] [a, b] [b, a] [a, c] ,
5.21/1.59	  [b, a] [a, a] -> [b, a] ,
5.21/1.59	  [b, a] [a, b] [b, a] -> [b, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, a] -> [b, a] [a, b] [b, a] [a, a] ,
5.21/1.59	  [b, a] [a, b] -> [b, b] ,
5.21/1.59	  [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] ,
5.21/1.59	  [b, a] [a, c] -> [b, c] ,
5.21/1.59	  [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, c] -> [b, a] [a, b] [b, a] [a, c] ,
5.21/1.59	  [c, a] [a, a] -> [c, a] ,
5.21/1.59	  [c, a] [a, b] [b, a] -> [c, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [c, c] [c, c] [c, a] [a, a] -> [c, a] [a, b] [b, a] [a, a] ,
5.21/1.59	  [c, a] [a, b] -> [c, b] ,
5.21/1.59	  [c, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [c, c] [c, c] [c, a] [a, b] -> [c, a] [a, b] [b, a] [a, b] ,
5.21/1.59	  [c, a] [a, c] -> [c, c] ,
5.21/1.59	  [c, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] ,
5.21/1.59	  [c, c] [c, c] [c, a] [a, c] -> [c, a] [a, b] [b, a] [a, c] }
5.21/1.59	
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was filtered by the following matrix interpretation
5.21/1.59	of type E_J with J = {1,...,2} and dimension 2:
5.21/1.59	
5.21/1.59	[a, a] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[a, b] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[b, a] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[b, c] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[c, a] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[a, c] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[c, c] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[b, b] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	[c, b] is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	
5.21/1.59	Remains to prove termination of the 16-rule system
5.21/1.59	{ [a, a] [a, b] [b, a] -> [a, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, a] -> [a, a] [a, b] [b, a] [a, a] ,
5.21/1.59	  [a, a] [a, b] [b, b] -> [a, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] ,
5.21/1.59	  [a, a] [a, b] [b, c] -> [a, b] [b, c] [c, a] [a, c] ,
5.21/1.59	  [a, c] [c, c] [c, a] [a, c] -> [a, a] [a, b] [b, a] [a, c] ,
5.21/1.59	  [b, a] [a, b] [b, a] -> [b, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, a] -> [b, a] [a, b] [b, a] [a, a] ,
5.21/1.59	  [b, a] [a, b] [b, b] -> [b, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] ,
5.21/1.59	  [b, a] [a, b] [b, c] -> [b, b] [b, c] [c, a] [a, c] ,
5.21/1.59	  [b, c] [c, c] [c, a] [a, c] -> [b, a] [a, b] [b, a] [a, c] ,
5.21/1.59	  [c, a] [a, b] [b, a] -> [c, b] [b, c] [c, a] [a, a] ,
5.21/1.59	  [c, a] [a, b] [b, b] -> [c, b] [b, c] [c, a] [a, b] ,
5.21/1.59	  [c, a] [a, c] -> [c, c] ,
5.21/1.59	  [c, a] [a, b] [b, c] -> [c, b] [b, c] [c, a] [a, c] }
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was reversed.
5.21/1.59	
5.21/1.59	Remains to prove termination of the 16-rule system
5.21/1.59	{ [b, a] [a, b] [a, a] -> [a, a] [c, a] [b, c] [a, b] ,
5.21/1.59	  [a, a] [c, a] [c, c] [a, c] -> [a, a] [b, a] [a, b] [a, a] ,
5.21/1.59	  [b, b] [a, b] [a, a] -> [a, b] [c, a] [b, c] [a, b] ,
5.21/1.59	  [a, b] [c, a] [c, c] [a, c] -> [a, b] [b, a] [a, b] [a, a] ,
5.21/1.59	  [b, c] [a, b] [a, a] -> [a, c] [c, a] [b, c] [a, b] ,
5.21/1.59	  [a, c] [c, a] [c, c] [a, c] -> [a, c] [b, a] [a, b] [a, a] ,
5.21/1.59	  [b, a] [a, b] [b, a] -> [a, a] [c, a] [b, c] [b, b] ,
5.21/1.59	  [a, a] [c, a] [c, c] [b, c] -> [a, a] [b, a] [a, b] [b, a] ,
5.21/1.59	  [b, b] [a, b] [b, a] -> [a, b] [c, a] [b, c] [b, b] ,
5.21/1.59	  [a, b] [c, a] [c, c] [b, c] -> [a, b] [b, a] [a, b] [b, a] ,
5.21/1.59	  [b, c] [a, b] [b, a] -> [a, c] [c, a] [b, c] [b, b] ,
5.21/1.59	  [a, c] [c, a] [c, c] [b, c] -> [a, c] [b, a] [a, b] [b, a] ,
5.21/1.59	  [b, a] [a, b] [c, a] -> [a, a] [c, a] [b, c] [c, b] ,
5.21/1.59	  [b, b] [a, b] [c, a] -> [a, b] [c, a] [b, c] [c, b] ,
5.21/1.59	  [a, c] [c, a] -> [c, c] ,
5.21/1.59	  [b, c] [a, b] [c, a] -> [a, c] [c, a] [b, c] [c, b] }
5.21/1.59	
5.21/1.59	
5.21/1.59	The dependency pairs transformation was applied.
5.21/1.59	
5.21/1.59	Remains to prove termination of the 64-rule system
5.21/1.59	{ ([b, a],true) ([a, b],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([a, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([a, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([a, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([b, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([b, a],false) -> ([b, c],true) ([b, b],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([b, a],false) -> ([b, b],true) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([b, c],true) ([b, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([b, b],true) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([b, c],true) ([b, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([b, b],true) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([b, a],true) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([c, a],false) -> ([b, c],true) ([c, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([b, c],true) ([c, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([b, c],true) ([c, b],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.59	
5.21/1.59	
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was filtered by the following matrix interpretation
5.21/1.59	of type E_J with J = {1,...,2} and dimension 2:
5.21/1.59	
5.21/1.59	([b, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	
5.21/1.59	Remains to prove termination of the 31-rule system
5.21/1.59	{ ([b, a],true) ([a, b],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([b, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, a],true) ([a, b],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was filtered by the following matrix interpretation
5.21/1.59	of type E_J with J = {1,...,2} and dimension 2:
5.21/1.59	
5.21/1.59	([b, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	
5.21/1.59	Remains to prove termination of the 28-rule system
5.21/1.59	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, c],true) ([a, b],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was filtered by the following matrix interpretation
5.21/1.59	of type E_J with J = {1,...,2} and dimension 2:
5.21/1.59	
5.21/1.59	([b, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	
5.21/1.59	Remains to prove termination of the 25-rule system
5.21/1.59	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],true) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.59	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.59	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.59	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.59	
5.21/1.59	
5.21/1.59	The system was filtered by the following matrix interpretation
5.21/1.59	of type E_J with J = {1,...,2} and dimension 2:
5.21/1.59	
5.21/1.59	([b, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, a],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, c],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([c, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, a],false) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 0 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([b, b],true) is interpreted by
5.21/1.59	 /   \
5.21/1.59	| 1 1 |
5.21/1.59	| 0 1 |
5.21/1.59	 \   /
5.21/1.59	([a, c],true) is interpreted by
5.21/1.60	 /   \
5.21/1.60	| 1 0 |
5.21/1.60	| 0 1 |
5.21/1.60	 \   /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /   \
5.21/1.60	| 1 0 |
5.21/1.60	| 0 1 |
5.21/1.60	 \   /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /   \
5.21/1.60	| 1 0 |
5.21/1.60	| 0 1 |
5.21/1.60	 \   /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 22-rule system
5.21/1.60	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, a],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 21-rule system
5.21/1.60	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 20-rule system
5.21/1.60	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 19-rule system
5.21/1.60	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 18-rule system
5.21/1.60	{ ([a, a],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 17-rule system
5.21/1.60	{ ([a, c],true) ([c, a],false) ([c, c],false) ([a, c],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system was filtered by the following matrix interpretation
5.21/1.60	of type E_J with J = {1,...,2} and dimension 6:
5.21/1.60	
5.21/1.60	([b, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, a],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 1 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 1 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 1 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, a],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([a, c],true) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 1 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([b, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	([c, b],false) is interpreted by
5.21/1.60	 /           \
5.21/1.60	| 1 0 0 0 0 0 |
5.21/1.60	| 0 1 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	| 0 0 0 0 0 0 |
5.21/1.60	 \           /
5.21/1.60	
5.21/1.60	Remains to prove termination of the 16-rule system
5.21/1.60	{ ([b, a],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([a, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, a],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([b, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ([c, c],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.21/1.60	  ([b, a],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([b, b],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([c, b],false) ,
5.21/1.60	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
5.21/1.60	  ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([c, b],false) }
5.21/1.60	
5.21/1.60	
5.21/1.60	The system is trivially terminating.
5.54/1.65	EOF