0.00/0.49	YES
0.00/0.51	
0.00/0.51	
0.00/0.51	
0.00/0.51	
0.00/0.51	The system was filtered by the following matrix interpretation
0.00/0.51	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.51	
0.00/0.51	a is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 1 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	b is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 1 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	c is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	
0.00/0.51	Remains to prove termination of the 3-rule system
0.00/0.51	{ a -> b ,
0.00/0.51	  a b -> b c a ,
0.00/0.51	  c b -> a }
0.00/0.51	
0.00/0.51	
0.00/0.51	The dependency pairs transformation was applied.
0.00/0.51	
0.00/0.51	Remains to prove termination of the 6-rule system
0.00/0.51	{ (a,true) (b,false) -> (c,true) (a,false) ,
0.00/0.51	  (a,true) (b,false) -> (a,true) ,
0.00/0.51	  (c,true) (b,false) -> (a,true) ,
0.00/0.51	  (a,false) ->= (b,false) ,
0.00/0.51	  (a,false) (b,false) ->= (b,false) (c,false) (a,false) ,
0.00/0.51	  (c,false) (b,false) ->= (a,false) }
0.00/0.51	
0.00/0.51	
0.00/0.51	
0.00/0.51	
0.00/0.51	The system was filtered by the following matrix interpretation
0.00/0.51	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.51	
0.00/0.51	(a,true) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(b,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 1 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(c,true) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(a,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 1 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(c,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	
0.00/0.51	Remains to prove termination of the 4-rule system
0.00/0.51	{ (a,true) (b,false) -> (c,true) (a,false) ,
0.00/0.51	  (a,false) ->= (b,false) ,
0.00/0.51	  (a,false) (b,false) ->= (b,false) (c,false) (a,false) ,
0.00/0.51	  (c,false) (b,false) ->= (a,false) }
0.00/0.51	
0.00/0.51	
0.00/0.51	The system was filtered by the following matrix interpretation
0.00/0.51	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.51	
0.00/0.51	(a,true) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 1 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(b,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(c,true) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(a,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	(c,false) is interpreted by
0.00/0.51	 /   \
0.00/0.51	| 1 0 |
0.00/0.51	| 0 1 |
0.00/0.51	 \   /
0.00/0.51	
0.00/0.51	Remains to prove termination of the 3-rule system
0.00/0.51	{ (a,false) ->= (b,false) ,
0.00/0.51	  (a,false) (b,false) ->= (b,false) (c,false) (a,false) ,
0.00/0.51	  (c,false) (b,false) ->= (a,false) }
0.00/0.51	
0.00/0.51	
0.00/0.51	The system is trivially terminating.
0.00/0.54	EOF