1.65/0.61	YES
1.65/0.63	
1.65/0.63	
1.65/0.63	The system was reversed.
1.65/0.63	
1.65/0.63	Remains to prove termination of the 1-rule system
1.65/0.63	{ a a a a b c b a -> b c b a a b c b a a a a a }
1.65/0.63	
1.65/0.63	
1.65/0.63	The dependency pairs transformation was applied.
1.65/0.63	
1.65/0.63	Remains to prove termination of the 8-rule system
1.65/0.63	{ (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) (a,false) ,
1.65/0.63	  (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) -> (a,true) ,
1.65/0.63	  (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) ->= (b,false) (c,false) (b,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
1.65/0.63	
1.65/0.63	
1.65/0.63	
1.65/0.63	
1.65/0.63	The system was filtered by the following matrix interpretation
1.65/0.63	of type E_J with J = {1,...,2} and dimension 9:
1.65/0.63	
1.65/0.63	(a,true) is interpreted by
1.65/0.63	 /                 \
1.65/0.63	| 1 0 1 0 0 0 0 0 0 |
1.65/0.63	| 0 1 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	 \                 /
1.65/0.63	(a,false) is interpreted by
1.65/0.63	 /                 \
1.65/0.63	| 1 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 1 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 2 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 1 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 1 0 0 0 |
1.65/0.63	| 0 0 1 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 1 1 1 0 0 0 0 0 |
1.65/0.63	 \                 /
1.65/0.63	(b,false) is interpreted by
1.65/0.63	 /                 \
1.65/0.63	| 1 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 1 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 1 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 1 1 0 0 0 1 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	 \                 /
1.65/0.63	(c,false) is interpreted by
1.65/0.63	 /                 \
1.65/0.63	| 1 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 1 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 1 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	| 0 0 0 0 0 0 0 0 0 |
1.65/0.63	 \                 /
1.65/0.63	
1.65/0.63	Remains to prove termination of the 1-rule system
1.65/0.63	{ (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) ->= (b,false) (c,false) (b,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
1.65/0.63	
1.65/0.63	
1.65/0.63	The system is trivially terminating.
1.65/0.67	EOF