10.81/3.03	YES
11.15/3.07	
11.15/3.07	
11.15/3.07	Applying context closure of depth 1 in the following form: System R over Sigma
11.15/3.07	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
11.15/3.07	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
11.15/3.07	
11.15/3.07	Remains to prove termination of the 27-rule system
11.15/3.07	{ [a, a] [a, a] -> [a, a] ,
11.15/3.07	  [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [a, c] [c, b] [b, a] -> [a, a] [a, c] [c, a] ,
11.15/3.07	  [a, a] [a, b] -> [a, b] ,
11.15/3.07	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [a, c] [c, b] [b, b] -> [a, a] [a, c] [c, b] ,
11.15/3.07	  [a, a] [a, c] -> [a, c] ,
11.15/3.07	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, c] ,
11.15/3.07	  [a, c] [c, b] [b, c] -> [a, a] [a, c] [c, c] ,
11.15/3.07	  [b, a] [a, a] -> [b, a] ,
11.15/3.07	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [b, c] [c, b] [b, a] -> [b, a] [a, c] [c, a] ,
11.15/3.07	  [b, a] [a, b] -> [b, b] ,
11.15/3.07	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [b, c] [c, b] [b, b] -> [b, a] [a, c] [c, b] ,
11.15/3.07	  [b, a] [a, c] -> [b, c] ,
11.15/3.07	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, c] ,
11.15/3.07	  [b, c] [c, b] [b, c] -> [b, a] [a, c] [c, c] ,
11.15/3.07	  [c, a] [a, a] -> [c, a] ,
11.15/3.07	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [c, c] [c, b] [b, a] -> [c, a] [a, c] [c, a] ,
11.15/3.07	  [c, a] [a, b] -> [c, b] ,
11.15/3.07	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [c, c] [c, b] [b, b] -> [c, a] [a, c] [c, b] ,
11.15/3.07	  [c, a] [a, c] -> [c, c] ,
11.15/3.07	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, c] ,
11.15/3.07	  [c, c] [c, b] [b, c] -> [c, a] [a, c] [c, c] }
11.15/3.07	
11.15/3.07	
11.15/3.07	
11.15/3.07	The system was filtered by the following matrix interpretation
11.15/3.07	of type E_J with J = {1,...,2} and dimension 2:
11.15/3.07	
11.15/3.07	[a, a] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[a, b] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[b, a] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[a, c] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[c, a] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[c, b] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[b, b] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[b, c] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	[c, c] is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	
11.15/3.07	Remains to prove termination of the 16-rule system
11.15/3.07	{ [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [a, c] [c, b] [b, a] -> [a, a] [a, c] [c, a] ,
11.15/3.07	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [a, c] [c, b] [b, b] -> [a, a] [a, c] [c, b] ,
11.15/3.07	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, a] [a, c] [c, a] [a, c] ,
11.15/3.07	  [a, c] [c, b] [b, c] -> [a, a] [a, c] [c, c] ,
11.15/3.07	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [b, a] [a, b] -> [b, b] ,
11.15/3.07	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [b, a] [a, c] -> [b, c] ,
11.15/3.07	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, a] [a, c] [c, a] [a, c] ,
11.15/3.07	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, a] ,
11.15/3.07	  [c, a] [a, b] -> [c, b] ,
11.15/3.07	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, b] ,
11.15/3.07	  [c, a] [a, c] -> [c, c] ,
11.15/3.07	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, a] [a, c] [c, a] [a, c] }
11.15/3.07	
11.15/3.07	
11.15/3.07	The dependency pairs transformation was applied.
11.15/3.07	
11.15/3.07	Remains to prove termination of the 65-rule system
11.15/3.07	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([a, a],true) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([c, a],true) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, c],true) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([a, a],true) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, c],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([a, a],true) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([a, c],true) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([a, c],true) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, c],true) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.07	
11.15/3.07	
11.15/3.07	
11.15/3.07	
11.15/3.07	The system was filtered by the following matrix interpretation
11.15/3.07	of type E_J with J = {1,...,2} and dimension 2:
11.15/3.07	
11.15/3.07	([a, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, c],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	
11.15/3.07	Remains to prove termination of the 28-rule system
11.15/3.07	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([a, a],true) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([a, a],true) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([a, a],true) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.07	
11.15/3.07	
11.15/3.07	The system was filtered by the following matrix interpretation
11.15/3.07	of type E_J with J = {1,...,2} and dimension 2:
11.15/3.07	
11.15/3.07	([a, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, a],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([a, c],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 1 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, a],true) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, b],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([b, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	([c, c],false) is interpreted by
11.15/3.07	 /   \
11.15/3.07	| 1 0 |
11.15/3.07	| 0 1 |
11.15/3.07	 \   /
11.15/3.07	
11.15/3.07	Remains to prove termination of the 25-rule system
11.15/3.07	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.07	
11.15/3.07	
11.15/3.07	The system was filtered by the following matrix interpretation
11.15/3.07	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.07	
11.15/3.07	([a, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 1 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, c],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 1 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	
11.15/3.07	Remains to prove termination of the 24-rule system
11.15/3.07	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.07	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.07	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.07	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.07	
11.15/3.07	
11.15/3.07	The system was filtered by the following matrix interpretation
11.15/3.07	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.07	
11.15/3.07	([a, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 1 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, a],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 1 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([a, c],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, a],true) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, b],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([b, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	([c, c],false) is interpreted by
11.15/3.07	 /       \
11.15/3.07	| 1 0 0 0 |
11.15/3.07	| 0 1 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	| 0 0 0 0 |
11.15/3.07	 \       /
11.15/3.07	
11.15/3.07	Remains to prove termination of the 23-rule system
11.15/3.07	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.07	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.07	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 22-rule system
11.15/3.08	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, a],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 21-rule system
11.15/3.08	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 20-rule system
11.15/3.08	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 19-rule system
11.15/3.08	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 18-rule system
11.15/3.08	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 17-rule system
11.15/3.08	{ ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system was filtered by the following matrix interpretation
11.15/3.08	of type E_J with J = {1,...,2} and dimension 4:
11.15/3.08	
11.15/3.08	([a, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 1 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 1 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([a, c],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, a],true) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, b],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([b, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	([c, c],false) is interpreted by
11.15/3.08	 /       \
11.15/3.08	| 1 0 0 0 |
11.15/3.08	| 0 1 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	| 0 0 0 0 |
11.15/3.08	 \       /
11.15/3.08	
11.15/3.08	Remains to prove termination of the 16-rule system
11.15/3.08	{ ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, a],false) ([a, c],false) ([c, a],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, a],false) ([a, c],false) ([c, b],false) ,
11.15/3.08	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([a, c],false) ([c, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
11.15/3.08	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, a],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, a],false) ,
11.15/3.08	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, b],false) ,
11.15/3.08	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
11.15/3.08	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, a],false) ([a, c],false) ([c, a],false) ([a, c],false) }
11.15/3.08	
11.15/3.08	
11.15/3.08	The system is trivially terminating.
11.27/3.12	EOF