2.40/0.82	YES
2.40/0.83	
2.40/0.83	
2.40/0.83	The system was reversed.
2.40/0.83	
2.40/0.83	Remains to prove termination of the 1-rule system
2.40/0.83	{ a a a a c b b a -> c b b a a c b b a a a a a }
2.40/0.83	
2.40/0.83	
2.40/0.83	The dependency pairs transformation was applied.
2.40/0.83	
2.40/0.83	Remains to prove termination of the 8-rule system
2.40/0.83	{ (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (a,false) (c,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (c,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) (a,false) ,
2.40/0.83	  (a,true) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) -> (a,true) ,
2.40/0.83	  (a,false) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) ->= (c,false) (b,false) (b,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
2.40/0.83	
2.40/0.83	
2.40/0.83	
2.40/0.83	
2.40/0.83	The system was filtered by the following matrix interpretation
2.40/0.83	of type E_J with J = {1,...,2} and dimension 9:
2.40/0.83	
2.40/0.83	(a,true) is interpreted by
2.40/0.83	 /                 \
2.40/0.83	| 1 0 1 0 0 0 0 0 0 |
2.40/0.83	| 0 1 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	 \                 /
2.40/0.83	(a,false) is interpreted by
2.40/0.83	 /                 \
2.40/0.83	| 1 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 1 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 2 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 1 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 1 0 0 0 |
2.40/0.83	| 0 0 1 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 1 1 1 0 0 0 0 0 |
2.40/0.83	 \                 /
2.40/0.83	(c,false) is interpreted by
2.40/0.83	 /                 \
2.40/0.83	| 1 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 1 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 1 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	 \                 /
2.40/0.83	(b,false) is interpreted by
2.40/0.83	 /                 \
2.40/0.83	| 1 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 1 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	| 0 0 0 0 0 0 0 1 0 |
2.40/0.83	| 0 0 0 1 1 0 0 0 1 |
2.40/0.83	| 0 0 0 0 0 0 0 0 0 |
2.40/0.83	 \                 /
2.40/0.83	
2.40/0.83	Remains to prove termination of the 1-rule system
2.40/0.83	{ (a,false) (a,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) ->= (c,false) (b,false) (b,false) (a,false) (a,false) (c,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
2.40/0.83	
2.40/0.83	
2.40/0.83	The system is trivially terminating.
2.40/0.87	EOF