7.40/2.09	YES
7.40/2.12	
7.40/2.12	
7.40/2.12	Applying context closure of depth 1 in the following form: System R over Sigma
7.40/2.12	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
7.40/2.12	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
7.40/2.12	
7.40/2.12	Remains to prove termination of the 36-rule system
7.40/2.12	{ [a, a] [a, a] -> [a, a] ,
7.40/2.12	  [a, a] [a, a] -> [a, b] [b, a] ,
7.40/2.12	  [a, a] [a, b] [b, c] [c, a] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, a] ,
7.40/2.12	  [a, c] [c, a] -> [a, a] ,
7.40/2.12	  [a, a] [a, b] -> [a, b] ,
7.40/2.12	  [a, a] [a, b] -> [a, b] [b, b] ,
7.40/2.12	  [a, a] [a, b] [b, c] [c, b] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, b] ,
7.40/2.12	  [a, c] [c, b] -> [a, b] ,
7.40/2.12	  [a, a] [a, c] -> [a, c] ,
7.40/2.12	  [a, a] [a, c] -> [a, b] [b, c] ,
7.40/2.12	  [a, a] [a, b] [b, c] [c, c] -> [a, c] [c, c] [c, a] [a, b] [b, a] [a, c] ,
7.40/2.12	  [a, c] [c, c] -> [a, c] ,
7.40/2.12	  [b, a] [a, a] -> [b, a] ,
7.40/2.12	  [b, a] [a, a] -> [b, b] [b, a] ,
7.40/2.12	  [b, a] [a, b] [b, c] [c, a] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, a] ,
7.40/2.12	  [b, c] [c, a] -> [b, a] ,
7.40/2.12	  [b, a] [a, b] -> [b, b] ,
7.40/2.12	  [b, a] [a, b] -> [b, b] [b, b] ,
7.40/2.12	  [b, a] [a, b] [b, c] [c, b] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, b] ,
7.40/2.12	  [b, c] [c, b] -> [b, b] ,
7.40/2.12	  [b, a] [a, c] -> [b, c] ,
7.40/2.12	  [b, a] [a, c] -> [b, b] [b, c] ,
7.40/2.12	  [b, a] [a, b] [b, c] [c, c] -> [b, c] [c, c] [c, a] [a, b] [b, a] [a, c] ,
7.40/2.12	  [b, c] [c, c] -> [b, c] ,
7.40/2.12	  [c, a] [a, a] -> [c, a] ,
7.40/2.12	  [c, a] [a, a] -> [c, b] [b, a] ,
7.40/2.12	  [c, a] [a, b] [b, c] [c, a] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, a] ,
7.40/2.12	  [c, c] [c, a] -> [c, a] ,
7.40/2.12	  [c, a] [a, b] -> [c, b] ,
7.40/2.12	  [c, a] [a, b] -> [c, b] [b, b] ,
7.40/2.12	  [c, a] [a, b] [b, c] [c, b] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, b] ,
7.40/2.12	  [c, c] [c, b] -> [c, b] ,
7.40/2.12	  [c, a] [a, c] -> [c, c] ,
7.40/2.12	  [c, a] [a, c] -> [c, b] [b, c] ,
7.40/2.12	  [c, a] [a, b] [b, c] [c, c] -> [c, c] [c, c] [c, a] [a, b] [b, a] [a, c] ,
7.40/2.12	  [c, c] [c, c] -> [c, c] }
7.40/2.12	
7.40/2.12	The system was reversed.
7.40/2.12	
7.40/2.12	Remains to prove termination of the 36-rule system
7.40/2.12	{ [a, a] [a, a] -> [a, a] ,
7.40/2.12	  [a, a] [a, a] -> [b, a] [a, b] ,
7.40/2.12	  [c, a] [b, c] [a, b] [a, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [a, c] ,
7.40/2.12	  [c, a] [a, c] -> [a, a] ,
7.40/2.12	  [a, b] [a, a] -> [a, b] ,
7.40/2.12	  [a, b] [a, a] -> [b, b] [a, b] ,
7.40/2.12	  [c, b] [b, c] [a, b] [a, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [a, c] ,
7.40/2.12	  [c, b] [a, c] -> [a, b] ,
7.40/2.12	  [a, c] [a, a] -> [a, c] ,
7.40/2.12	  [a, c] [a, a] -> [b, c] [a, b] ,
7.40/2.12	  [c, c] [b, c] [a, b] [a, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [a, c] ,
7.40/2.12	  [c, c] [a, c] -> [a, c] ,
7.40/2.12	  [a, a] [b, a] -> [b, a] ,
7.40/2.12	  [a, a] [b, a] -> [b, a] [b, b] ,
7.40/2.12	  [c, a] [b, c] [a, b] [b, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [b, c] ,
7.40/2.12	  [c, a] [b, c] -> [b, a] ,
7.40/2.12	  [a, b] [b, a] -> [b, b] ,
7.40/2.12	  [a, b] [b, a] -> [b, b] [b, b] ,
7.40/2.12	  [c, b] [b, c] [a, b] [b, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [b, c] ,
7.40/2.12	  [c, b] [b, c] -> [b, b] ,
7.40/2.12	  [a, c] [b, a] -> [b, c] ,
7.40/2.12	  [a, c] [b, a] -> [b, c] [b, b] ,
7.40/2.12	  [c, c] [b, c] [a, b] [b, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [b, c] ,
7.40/2.12	  [c, c] [b, c] -> [b, c] ,
7.40/2.12	  [a, a] [c, a] -> [c, a] ,
7.40/2.12	  [a, a] [c, a] -> [b, a] [c, b] ,
7.40/2.12	  [c, a] [b, c] [a, b] [c, a] -> [a, a] [b, a] [a, b] [c, a] [c, c] [c, c] ,
7.40/2.12	  [c, a] [c, c] -> [c, a] ,
7.40/2.12	  [a, b] [c, a] -> [c, b] ,
7.40/2.12	  [a, b] [c, a] -> [b, b] [c, b] ,
7.40/2.12	  [c, b] [b, c] [a, b] [c, a] -> [a, b] [b, a] [a, b] [c, a] [c, c] [c, c] ,
7.40/2.12	  [c, b] [c, c] -> [c, b] ,
7.40/2.12	  [a, c] [c, a] -> [c, c] ,
7.40/2.12	  [a, c] [c, a] -> [b, c] [c, b] ,
7.40/2.12	  [c, c] [b, c] [a, b] [c, a] -> [a, c] [b, a] [a, b] [c, a] [c, c] [c, c] ,
7.40/2.12	  [c, c] [c, c] -> [c, c] }
7.40/2.12	
7.40/2.12	
7.40/2.12	The dependency pairs transformation was applied.
7.40/2.12	
7.40/2.12	Remains to prove termination of the 94-rule system
7.40/2.12	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.40/2.12	  ([a, a],true) ([a, a],false) -> ([a, b],true) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.40/2.12	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.40/2.12	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.40/2.12	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.40/2.12	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.40/2.12	  ([a, c],true) ([a, a],false) -> ([a, b],true) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.40/2.12	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.40/2.12	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.40/2.12	  ([a, a],true) ([c, a],false) -> ([c, a],true) ,
7.40/2.12	  ([a, a],true) ([c, a],false) -> ([c, b],true) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.40/2.12	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.40/2.12	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.40/2.12	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.40/2.12	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.40/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.40/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.40/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.40/2.13	  ([a, c],true) ([c, a],false) -> ([c, b],true) ,
7.40/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.40/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.40/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.40/2.13	  ([a, a],false) ([a, a],false) ->= ([a, a],false) ,
7.40/2.13	  ([a, a],false) ([a, a],false) ->= ([b, a],false) ([a, b],false) ,
7.40/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.40/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.40/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.40/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.40/2.13	  ([a, c],false) ([a, a],false) ->= ([a, c],false) ,
7.40/2.13	  ([a, c],false) ([a, a],false) ->= ([b, c],false) ([a, b],false) ,
7.40/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.40/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.40/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.40/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.40/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.40/2.13	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
7.40/2.13	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ([b, b],false) ,
7.40/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.13	  ([c, b],false) ([b, c],false) ->= ([b, b],false) ,
7.40/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.40/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.40/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.40/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.40/2.13	  ([a, a],false) ([c, a],false) ->= ([c, a],false) ,
7.40/2.13	  ([a, a],false) ([c, a],false) ->= ([b, a],false) ([c, b],false) ,
7.40/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.40/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.40/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.40/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.40/2.13	  ([a, c],false) ([c, a],false) ->= ([c, c],false) ,
7.40/2.13	  ([a, c],false) ([c, a],false) ->= ([b, c],false) ([c, b],false) ,
7.40/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.40/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.40/2.13	
7.40/2.13	
7.40/2.13	
7.40/2.13	
7.40/2.13	The system was filtered by the following matrix interpretation
7.40/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.40/2.13	
7.40/2.13	([a, a],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([a, a],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 1 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	 \     /
7.40/2.13	([a, b],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([c, a],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([b, c],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([a, b],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([b, a],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([c, a],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	 \     /
7.40/2.13	([c, c],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([a, c],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 1 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([c, c],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([a, c],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([c, b],true) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.40/2.13	| 0 1 0 |
7.40/2.13	| 0 0 0 |
7.40/2.13	 \     /
7.40/2.13	([b, b],false) is interpreted by
7.40/2.13	 /     \
7.40/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 86-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, a],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, a],true) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([c, c],true) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, a],true) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([c, c],true) ([b, c],false) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, a],true) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, a],true) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
7.56/2.13	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ([b, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ->= ([b, b],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 50-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, a],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, a],true) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 48-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, a],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 46-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, a],true) ([c, a],false) -> ([c, a],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 45-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],true) ([a, c],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, a],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 41-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],true) ([c, c],false) -> ([c, a],true) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 1 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 40-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([a, c],true) ([c, a],false) -> ([c, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 39-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],true) ([a, c],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([c, c],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, c],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 35-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([c, c],true) ([c, c],false) -> ([c, c],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 1 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 34-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, b],true) ([c, a],false) -> ([c, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 33-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],true) ([a, c],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, b],true) ([b, c],false) ([a, b],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 2:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 1 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	([c, b],false) is interpreted by
7.56/2.13	 /   \
7.56/2.13	| 1 0 |
7.56/2.13	| 0 1 |
7.56/2.13	 \   /
7.56/2.13	
7.56/2.13	Remains to prove termination of the 29-rule system
7.56/2.13	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.13	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.13	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.13	  ([c, b],true) ([c, c],false) -> ([c, b],true) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.13	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.13	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.13	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.13	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.13	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.13	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.13	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.13	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.13	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.13	
7.56/2.13	
7.56/2.13	The system was filtered by the following matrix interpretation
7.56/2.13	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.13	
7.56/2.13	([a, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, b],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, a],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 1 1 |
7.56/2.13	 \     /
7.56/2.13	([a, c],false) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([a, c],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 0 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([c, b],true) is interpreted by
7.56/2.13	 /     \
7.56/2.13	| 1 0 1 |
7.56/2.13	| 0 1 0 |
7.56/2.13	| 0 0 0 |
7.56/2.13	 \     /
7.56/2.13	([b, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	
7.56/2.14	Remains to prove termination of the 28-rule system
7.56/2.14	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.14	  ([a, b],true) ([a, a],false) -> ([a, b],true) ,
7.56/2.14	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.14	
7.56/2.14	
7.56/2.14	The system was filtered by the following matrix interpretation
7.56/2.14	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.14	
7.56/2.14	([a, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	
7.56/2.14	Remains to prove termination of the 27-rule system
7.56/2.14	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.14	  ([a, c],true) ([a, a],false) -> ([a, c],true) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.14	
7.56/2.14	
7.56/2.14	The system was filtered by the following matrix interpretation
7.56/2.14	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.14	
7.56/2.14	([a, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	
7.56/2.14	Remains to prove termination of the 26-rule system
7.56/2.14	{ ([a, a],true) ([a, a],false) -> ([a, a],true) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.14	
7.56/2.14	
7.56/2.14	The system was filtered by the following matrix interpretation
7.56/2.14	of type E_J with J = {1,...,2} and dimension 3:
7.56/2.14	
7.56/2.14	([a, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, a],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 1 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([a, c],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],true) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([b, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	([c, b],false) is interpreted by
7.56/2.14	 /     \
7.56/2.14	| 1 0 0 |
7.56/2.14	| 0 1 0 |
7.56/2.14	| 0 0 0 |
7.56/2.14	 \     /
7.56/2.14	
7.56/2.14	Remains to prove termination of the 25-rule system
7.56/2.14	{ ([c, a],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, a],false) ([a, c],false) ->= ([a, a],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([a, b],false) ,
7.56/2.14	  ([a, b],false) ([a, a],false) ->= ([b, b],false) ([a, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, b],false) ([a, c],false) ->= ([a, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([a, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([a, c],false) ,
7.56/2.14	  ([c, c],false) ([a, c],false) ->= ([a, c],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ,
7.56/2.14	  ([a, a],false) ([b, a],false) ->= ([b, a],false) ([b, b],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ->= ([b, a],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ,
7.56/2.14	  ([a, c],false) ([b, a],false) ->= ([b, c],false) ([b, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([b, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([b, c],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ->= ([b, c],false) ,
7.56/2.14	  ([c, a],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, a],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, a],false) ([c, c],false) ->= ([c, a],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
7.56/2.14	  ([a, b],false) ([c, a],false) ->= ([b, b],false) ([c, b],false) ,
7.56/2.14	  ([c, b],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, b],false) ([c, c],false) ->= ([c, b],false) ,
7.56/2.14	  ([c, c],false) ([b, c],false) ([a, b],false) ([c, a],false) ->= ([a, c],false) ([b, a],false) ([a, b],false) ([c, a],false) ([c, c],false) ([c, c],false) ,
7.56/2.14	  ([c, c],false) ([c, c],false) ->= ([c, c],false) }
7.56/2.14	
7.56/2.14	
7.56/2.14	The system is trivially terminating.
7.60/2.16	EOF