9.95/2.85	YES
10.30/2.89	
10.30/2.89	
10.30/2.89	Applying context closure of depth 1 in the following form: System R over Sigma
10.30/2.89	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
10.30/2.89	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
10.30/2.89	
10.30/2.89	Remains to prove termination of the 36-rule system
10.30/2.89	{ [a, a] [a, a] -> [a, a] ,
10.30/2.89	  [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] ,
10.30/2.89	  [a, b] [b, a] -> [a, a] ,
10.30/2.89	  [a, c] [c, b] [b, a] -> [a, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [a, a] [a, b] -> [a, b] ,
10.30/2.89	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, b] ,
10.30/2.89	  [a, b] [b, b] -> [a, b] ,
10.30/2.89	  [a, c] [c, b] [b, b] -> [a, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [a, a] [a, c] -> [a, c] ,
10.30/2.89	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] ,
10.30/2.89	  [a, b] [b, c] -> [a, c] ,
10.30/2.89	  [a, c] [c, b] [b, c] -> [a, b] [b, a] [a, c] [c, c] [c, c] ,
10.30/2.89	  [b, a] [a, a] -> [b, a] ,
10.30/2.89	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] ,
10.30/2.89	  [b, b] [b, a] -> [b, a] ,
10.30/2.89	  [b, c] [c, b] [b, a] -> [b, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [b, a] [a, b] -> [b, b] ,
10.30/2.89	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, b] ,
10.30/2.89	  [b, b] [b, b] -> [b, b] ,
10.30/2.89	  [b, c] [c, b] [b, b] -> [b, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [b, a] [a, c] -> [b, c] ,
10.30/2.89	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] ,
10.30/2.89	  [b, b] [b, c] -> [b, c] ,
10.30/2.89	  [b, c] [c, b] [b, c] -> [b, b] [b, a] [a, c] [c, c] [c, c] ,
10.30/2.89	  [c, a] [a, a] -> [c, a] ,
10.30/2.89	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] ,
10.30/2.89	  [c, b] [b, a] -> [c, a] ,
10.30/2.89	  [c, c] [c, b] [b, a] -> [c, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [c, a] [a, b] -> [c, b] ,
10.30/2.89	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, b] ,
10.30/2.89	  [c, b] [b, b] -> [c, b] ,
10.30/2.89	  [c, c] [c, b] [b, b] -> [c, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [c, a] [a, c] -> [c, c] ,
10.30/2.89	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] ,
10.30/2.89	  [c, b] [b, c] -> [c, c] ,
10.30/2.89	  [c, c] [c, b] [b, c] -> [c, b] [b, a] [a, c] [c, c] [c, c] }
10.30/2.89	
10.30/2.89	
10.30/2.89	
10.30/2.89	The system was filtered by the following matrix interpretation
10.30/2.89	of type E_J with J = {1,...,2} and dimension 2:
10.30/2.89	
10.30/2.89	[a, a] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 1 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[a, b] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 1 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[b, a] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 0 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[a, c] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 0 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[c, b] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 1 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[c, c] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 0 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[c, a] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 0 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[b, b] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 1 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	[b, c] is interpreted by
10.30/2.89	 /   \
10.30/2.89	| 1 0 |
10.30/2.89	| 0 1 |
10.30/2.89	 \   /
10.30/2.89	
10.30/2.89	Remains to prove termination of the 20-rule system
10.30/2.89	{ [a, b] [b, a] -> [a, a] ,
10.30/2.89	  [a, c] [c, b] [b, a] -> [a, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, b] ,
10.30/2.89	  [a, c] [c, b] [b, b] -> [a, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, c] ,
10.30/2.89	  [a, c] [c, b] [b, c] -> [a, b] [b, a] [a, c] [c, c] [c, c] ,
10.30/2.89	  [b, c] [c, b] [b, a] -> [b, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [b, a] [a, b] -> [b, b] ,
10.30/2.89	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, b] ,
10.30/2.89	  [b, c] [c, b] [b, b] -> [b, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [b, a] [a, c] -> [b, c] ,
10.30/2.89	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, c] ,
10.30/2.89	  [b, c] [c, b] [b, c] -> [b, b] [b, a] [a, c] [c, c] [c, c] ,
10.30/2.89	  [c, c] [c, b] [b, a] -> [c, b] [b, a] [a, c] [c, c] [c, a] ,
10.30/2.89	  [c, a] [a, b] -> [c, b] ,
10.30/2.89	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, b] ,
10.30/2.89	  [c, c] [c, b] [b, b] -> [c, b] [b, a] [a, c] [c, c] [c, b] ,
10.30/2.89	  [c, a] [a, c] -> [c, c] ,
10.30/2.89	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, c] ,
10.30/2.89	  [c, c] [c, b] [b, c] -> [c, b] [b, a] [a, c] [c, c] [c, c] }
10.30/2.89	
10.30/2.89	
10.30/2.89	The dependency pairs transformation was applied.
10.30/2.89	
10.30/2.89	Remains to prove termination of the 74-rule system
10.30/2.89	{ ([a, b],true) ([b, a],false) -> ([a, a],true) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([c, c],true) ([c, a],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, a],false) -> ([c, a],true) ,
10.30/2.89	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.30/2.89	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([a, b],true) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, b],false) -> ([c, c],true) ([c, b],false) ,
10.30/2.89	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.30/2.89	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.30/2.89	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([b, c],true) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([a, b],true) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ([c, c],false) ,
10.30/2.89	  ([a, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([c, c],true) ([c, a],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([c, a],true) ,
10.30/2.89	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.30/2.89	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([c, c],true) ([c, b],false) ,
10.30/2.89	  ([b, a],true) ([a, c],false) -> ([b, c],true) ,
10.30/2.89	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.30/2.89	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.30/2.89	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, c],true) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ([c, c],false) ,
10.30/2.89	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([c, c],true) ([c, a],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([c, a],true) ,
10.30/2.89	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.30/2.89	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([c, c],true) ([c, b],false) ,
10.30/2.89	  ([c, a],true) ([a, c],false) -> ([c, c],true) ,
10.30/2.89	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.30/2.89	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.30/2.89	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([b, c],true) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([b, a],true) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.30/2.89	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ([c, c],false) ,
10.30/2.90	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([c, c],true) ,
10.30/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.30/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.30/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.30/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.30/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.30/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.30/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.30/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.30/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.30/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.30/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.30/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.30/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.30/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.30/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.30/2.90	
10.30/2.90	
10.30/2.90	
10.30/2.90	
10.30/2.90	The system was filtered by the following matrix interpretation
10.30/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.30/2.90	
10.30/2.90	([a, b],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([b, a],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 1 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([a, a],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([a, c],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 1 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([c, b],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([a, c],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([c, c],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([c, a],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([b, a],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([c, c],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([c, a],true) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([a, a],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 1 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([a, b],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 0 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([b, b],false) is interpreted by
10.30/2.90	 /   \
10.30/2.90	| 1 1 |
10.30/2.90	| 0 1 |
10.30/2.90	 \   /
10.30/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 40-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],true) ([a, c],false) -> ([b, c],true) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],true) ([a, c],false) -> ([c, c],true) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 38-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],true) ([a, c],false) -> ([b, c],true) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],true) ([a, c],false) -> ([c, c],true) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 35-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([a, b],true) ([b, b],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],true) ([a, c],false) -> ([c, c],true) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([a, b],true) ([b, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 32-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 29-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, a],false) -> ([a, c],true) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, b],false) -> ([a, c],true) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 2:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 0 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /   \
10.44/2.90	| 1 1 |
10.44/2.90	| 0 1 |
10.44/2.90	 \   /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 26-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, c],false) -> ([b, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 25-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, c],false) -> ([c, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 24-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, a],true) ([a, a],false) ([a, c],false) -> ([a, a],true) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 23-rule system
10.44/2.90	{ ([a, a],true) ([a, a],false) ([a, b],false) -> ([a, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 22-rule system
10.44/2.90	{ ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, a],true) ([a, a],false) ([a, b],false) -> ([c, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 21-rule system
10.44/2.90	{ ([b, a],true) ([a, a],false) ([a, b],false) -> ([b, a],true) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system was filtered by the following matrix interpretation
10.44/2.90	of type E_J with J = {1,...,2} and dimension 5:
10.44/2.90	
10.44/2.90	([a, b],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 1 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([c, a],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, a],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 1 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([a, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 1 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, b],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],false) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	([b, c],true) is interpreted by
10.44/2.90	 /         \
10.44/2.90	| 1 0 0 0 0 |
10.44/2.90	| 0 1 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	| 0 0 0 0 0 |
10.44/2.90	 \         /
10.44/2.90	
10.44/2.90	Remains to prove termination of the 20-rule system
10.44/2.90	{ ([a, b],false) ([b, a],false) ->= ([a, a],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, b],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([a, a],false) ([a, a],false) ([a, c],false) ->= ([a, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([a, c],false) ([c, b],false) ([b, c],false) ->= ([a, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([b, a],false) ([a, b],false) ->= ([b, b],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, b],false) ->= ([b, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([b, a],false) ([a, c],false) ->= ([b, c],false) ,
10.44/2.90	  ([b, a],false) ([a, a],false) ([a, c],false) ->= ([b, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([b, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, a],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, a],false) ,
10.44/2.90	  ([c, a],false) ([a, b],false) ->= ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, b],false) ->= ([c, a],false) ([a, b],false) ([b, b],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, b],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, b],false) ,
10.44/2.90	  ([c, a],false) ([a, c],false) ->= ([c, c],false) ,
10.44/2.90	  ([c, a],false) ([a, a],false) ([a, c],false) ->= ([c, a],false) ([a, b],false) ([b, c],false) ,
10.44/2.90	  ([c, c],false) ([c, b],false) ([b, c],false) ->= ([c, b],false) ([b, a],false) ([a, c],false) ([c, c],false) ([c, c],false) }
10.44/2.90	
10.44/2.90	
10.44/2.90	The system is trivially terminating.
10.47/2.95	EOF