5.40/1.59	YES
5.40/1.63	
5.40/1.63	
5.40/1.63	Applying context closure of depth 1 in the following form: System R over Sigma
5.40/1.63	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
5.40/1.63	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
5.40/1.63	
5.40/1.63	Remains to prove termination of the 27-rule system
5.40/1.63	{ [a, a] [a, a] -> [a, a] ,
5.40/1.63	  [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [a, c] [c, b] [b, a] -> [a, a] [a, a] ,
5.40/1.63	  [a, a] [a, b] -> [a, b] ,
5.40/1.63	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [a, c] [c, b] [b, b] -> [a, a] [a, b] ,
5.40/1.63	  [a, a] [a, c] -> [a, c] ,
5.40/1.63	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [a, c] [c, b] [b, c] -> [a, a] [a, c] ,
5.40/1.63	  [b, a] [a, a] -> [b, a] ,
5.40/1.63	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [b, c] [c, b] [b, a] -> [b, a] [a, a] ,
5.40/1.63	  [b, a] [a, b] -> [b, b] ,
5.40/1.63	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [b, c] [c, b] [b, b] -> [b, a] [a, b] ,
5.40/1.63	  [b, a] [a, c] -> [b, c] ,
5.40/1.63	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [b, c] [c, b] [b, c] -> [b, a] [a, c] ,
5.40/1.63	  [c, a] [a, a] -> [c, a] ,
5.40/1.63	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [c, c] [c, b] [b, a] -> [c, a] [a, a] ,
5.40/1.63	  [c, a] [a, b] -> [c, b] ,
5.40/1.63	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [c, c] [c, b] [b, b] -> [c, a] [a, b] ,
5.40/1.63	  [c, a] [a, c] -> [c, c] ,
5.40/1.63	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [c, c] [c, b] [b, c] -> [c, a] [a, c] }
5.40/1.63	
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was filtered by the following matrix interpretation
5.40/1.63	of type E_J with J = {1,...,2} and dimension 2:
5.40/1.63	
5.40/1.63	[a, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[a, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[a, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	
5.40/1.63	Remains to prove termination of the 17-rule system
5.40/1.63	{ [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [a, c] [c, b] [b, a] -> [a, a] [a, a] ,
5.40/1.63	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [a, c] [c, b] [b, c] -> [a, a] [a, c] ,
5.40/1.63	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [b, c] [c, b] [b, a] -> [b, a] [a, a] ,
5.40/1.63	  [b, a] [a, b] -> [b, b] ,
5.40/1.63	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [b, c] [c, b] [b, c] -> [b, a] [a, c] ,
5.40/1.63	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [c, c] [c, b] [b, a] -> [c, a] [a, a] ,
5.40/1.63	  [c, a] [a, b] -> [c, b] ,
5.40/1.63	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [c, c] [c, b] [b, c] -> [c, a] [a, c] }
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was filtered by the following matrix interpretation
5.40/1.63	of type E_J with J = {1,...,2} and dimension 2:
5.40/1.63	
5.40/1.63	[a, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[a, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, a] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[a, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[b, b] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	[c, c] is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	
5.40/1.63	Remains to prove termination of the 15-rule system
5.40/1.63	{ [a, a] [a, a] [a, a] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [a, c] [c, b] [b, a] -> [a, a] [a, a] ,
5.40/1.63	  [a, a] [a, a] [a, b] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [a, a] [a, a] [a, c] -> [a, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [a, c] [c, b] [b, c] -> [a, a] [a, c] ,
5.40/1.63	  [b, a] [a, a] [a, a] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [b, c] [c, b] [b, a] -> [b, a] [a, a] ,
5.40/1.63	  [b, a] [a, b] -> [b, b] ,
5.40/1.63	  [b, a] [a, a] [a, b] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [b, a] [a, a] [a, c] -> [b, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] ,
5.40/1.63	  [b, c] [c, b] [b, c] -> [b, a] [a, c] ,
5.40/1.63	  [c, a] [a, a] [a, a] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, a] ,
5.40/1.63	  [c, a] [a, b] -> [c, b] ,
5.40/1.63	  [c, a] [a, a] [a, b] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, b] ,
5.40/1.63	  [c, a] [a, a] [a, c] -> [c, a] [a, b] [b, a] [a, b] [b, c] [c, a] [a, c] }
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was reversed.
5.40/1.63	
5.40/1.63	Remains to prove termination of the 15-rule system
5.40/1.63	{ [a, a] [a, a] [a, a] -> [a, a] [c, a] [b, c] [a, b] [b, a] [a, b] [a, a] ,
5.40/1.63	  [b, a] [c, b] [a, c] -> [a, a] [a, a] ,
5.40/1.63	  [a, b] [a, a] [a, a] -> [a, b] [c, a] [b, c] [a, b] [b, a] [a, b] [a, a] ,
5.40/1.63	  [a, c] [a, a] [a, a] -> [a, c] [c, a] [b, c] [a, b] [b, a] [a, b] [a, a] ,
5.40/1.63	  [b, c] [c, b] [a, c] -> [a, c] [a, a] ,
5.40/1.63	  [a, a] [a, a] [b, a] -> [a, a] [c, a] [b, c] [a, b] [b, a] [a, b] [b, a] ,
5.40/1.63	  [b, a] [c, b] [b, c] -> [a, a] [b, a] ,
5.40/1.63	  [a, b] [b, a] -> [b, b] ,
5.40/1.63	  [a, b] [a, a] [b, a] -> [a, b] [c, a] [b, c] [a, b] [b, a] [a, b] [b, a] ,
5.40/1.63	  [a, c] [a, a] [b, a] -> [a, c] [c, a] [b, c] [a, b] [b, a] [a, b] [b, a] ,
5.40/1.63	  [b, c] [c, b] [b, c] -> [a, c] [b, a] ,
5.40/1.63	  [a, a] [a, a] [c, a] -> [a, a] [c, a] [b, c] [a, b] [b, a] [a, b] [c, a] ,
5.40/1.63	  [a, b] [c, a] -> [c, b] ,
5.40/1.63	  [a, b] [a, a] [c, a] -> [a, b] [c, a] [b, c] [a, b] [b, a] [a, b] [c, a] ,
5.40/1.63	  [a, c] [a, a] [c, a] -> [a, c] [c, a] [b, c] [a, b] [b, a] [a, b] [c, a] }
5.40/1.63	
5.40/1.63	
5.40/1.63	The dependency pairs transformation was applied.
5.40/1.63	
5.40/1.63	Remains to prove termination of the 74-rule system
5.40/1.63	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([a, c],false) -> ([a, a],true) ([a, a],false) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([a, c],false) -> ([a, a],true) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([b, a],true) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ,
5.40/1.63	  ([b, c],true) ([c, b],false) ([a, c],false) -> ([a, c],true) ([a, a],false) ,
5.40/1.63	  ([b, c],true) ([c, b],false) ([a, c],false) -> ([a, a],true) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([b, c],false) -> ([b, a],true) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([b, a],true) ,
5.40/1.63	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([a, c],true) ([b, a],false) ,
5.40/1.63	  ([b, c],true) ([c, b],false) ([b, c],false) -> ([b, a],true) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([b, a],true) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([b, a],true) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([b, c],true) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([b, a],true) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.40/1.63	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.40/1.63	
5.40/1.63	
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was filtered by the following matrix interpretation
5.40/1.63	of type E_J with J = {1,...,2} and dimension 2:
5.40/1.63	
5.40/1.63	([a, a],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([c, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, c],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, c],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, b],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, a],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([c, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, c],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, c],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	
5.40/1.63	Remains to prove termination of the 26-rule system
5.40/1.63	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([a, c],false) -> ([a, a],true) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, a],true) ([c, b],false) ([b, c],false) -> ([a, a],true) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.40/1.63	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was filtered by the following matrix interpretation
5.40/1.63	of type E_J with J = {1,...,2} and dimension 2:
5.40/1.63	
5.40/1.63	([a, a],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([c, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, c],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, a],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, c],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, b],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, a],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 1 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([c, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, c],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([a, c],true) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	([b, b],false) is interpreted by
5.40/1.63	 /   \
5.40/1.63	| 1 0 |
5.40/1.63	| 0 1 |
5.40/1.63	 \   /
5.40/1.63	
5.40/1.63	Remains to prove termination of the 24-rule system
5.40/1.63	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([b, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.40/1.63	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.40/1.63	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.40/1.63	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.40/1.63	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.40/1.63	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.40/1.63	
5.40/1.63	
5.40/1.63	The system was filtered by the following matrix interpretation
5.40/1.63	of type E_J with J = {1,...,2} and dimension 4:
5.40/1.63	
5.40/1.63	([a, a],true) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 1 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([a, a],false) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 1 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([c, a],false) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([b, c],false) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([a, b],false) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([b, a],false) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	 \       /
5.40/1.63	([b, c],true) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([a, b],true) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([b, a],true) is interpreted by
5.40/1.63	 /       \
5.40/1.63	| 1 0 0 0 |
5.40/1.63	| 0 1 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	| 0 0 0 0 |
5.40/1.63	 \       /
5.40/1.63	([c, b],false) is interpreted by
5.40/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([a, c],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([a, c],true) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([b, b],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	
5.60/1.63	Remains to prove termination of the 23-rule system
5.60/1.63	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([a, b],true) ([a, a],false) ([b, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.63	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.63	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.63	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.63	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.63	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.63	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.63	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.63	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.63	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.63	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.63	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.63	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.63	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.63	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.63	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.63	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.63	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.63	
5.60/1.63	
5.60/1.63	The system was filtered by the following matrix interpretation
5.60/1.63	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.63	
5.60/1.63	([a, a],true) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([a, a],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 1 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([c, a],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([b, c],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.63	| 0 1 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	| 0 0 0 0 |
5.60/1.63	 \       /
5.60/1.63	([a, b],false) is interpreted by
5.60/1.63	 /       \
5.60/1.63	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 22-rule system
5.60/1.64	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([b, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 21-rule system
5.60/1.64	{ ([a, a],true) ([a, a],false) ([a, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 20-rule system
5.60/1.64	{ ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([a, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 19-rule system
5.60/1.64	{ ([a, b],true) ([a, a],false) ([a, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 18-rule system
5.60/1.64	{ ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],true) ([a, a],false) ([c, a],false) -> ([a, c],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 17-rule system
5.60/1.64	{ ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],true) ([a, a],false) ([c, a],false) -> ([a, b],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 16-rule system
5.60/1.64	{ ([a, a],true) ([a, a],false) ([c, a],false) -> ([a, a],true) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system was filtered by the following matrix interpretation
5.60/1.64	of type E_J with J = {1,...,2} and dimension 4:
5.60/1.64	
5.60/1.64	([a, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 1 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 1 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, b],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, a],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([c, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([a, c],true) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	([b, b],false) is interpreted by
5.60/1.64	 /       \
5.60/1.64	| 1 0 0 0 |
5.60/1.64	| 0 1 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	| 0 0 0 0 |
5.60/1.64	 \       /
5.60/1.64	
5.60/1.64	Remains to prove termination of the 15-rule system
5.60/1.64	{ ([a, a],false) ([a, a],false) ([a, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([a, c],false) ->= ([a, a],false) ([a, a],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([a, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([a, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([a, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([a, c],false) ->= ([a, c],false) ([a, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([b, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, a],false) ([c, b],false) ([b, c],false) ->= ([a, a],false) ([b, a],false) ,
5.60/1.64	  ([a, b],false) ([b, a],false) ->= ([b, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([b, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([b, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([b, a],false) ,
5.60/1.64	  ([b, c],false) ([c, b],false) ([b, c],false) ->= ([a, c],false) ([b, a],false) ,
5.60/1.64	  ([a, a],false) ([a, a],false) ([c, a],false) ->= ([a, a],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, b],false) ([c, a],false) ->= ([c, b],false) ,
5.60/1.64	  ([a, b],false) ([a, a],false) ([c, a],false) ->= ([a, b],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) ,
5.60/1.64	  ([a, c],false) ([a, a],false) ([c, a],false) ->= ([a, c],false) ([c, a],false) ([b, c],false) ([a, b],false) ([b, a],false) ([a, b],false) ([c, a],false) }
5.60/1.64	
5.60/1.64	
5.60/1.64	The system is trivially terminating.
5.64/1.67	EOF