8.15/2.38	YES
8.43/2.40	
8.43/2.40	
8.43/2.40	The system was reversed.
8.43/2.40	
8.43/2.40	Remains to prove termination of the 1-rule system
8.43/2.40	{ a a a a b b a a a -> b b a a a b b a a a a a a a }
8.43/2.40	
8.43/2.40	
8.43/2.40	The dependency pairs transformation was applied.
8.43/2.40	
8.43/2.40	Remains to prove termination of the 11-rule system
8.43/2.40	{ (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) ,
8.43/2.40	  (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) ,
8.43/2.40	  (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) ->= (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
8.43/2.40	
8.43/2.40	
8.43/2.40	
8.43/2.40	
8.43/2.40	The system was filtered by the following matrix interpretation
8.43/2.40	of type E_J with J = {1,...,2} and dimension 10:
8.43/2.40	
8.43/2.40	(a,true) is interpreted by
8.43/2.40	 /                   \
8.43/2.40	| 1 0 1 0 0 0 0 0 0 0 |
8.43/2.40	| 0 1 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	 \                   /
8.43/2.40	(a,false) is interpreted by
8.43/2.40	 /                   \
8.43/2.40	| 1 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 1 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 1 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 1 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 1 0 0 0 0 |
8.43/2.40	| 0 0 2 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 1 0 |
8.43/2.40	| 0 0 1 0 0 0 0 0 0 1 |
8.43/2.40	| 0 1 1 0 1 0 0 0 0 0 |
8.43/2.40	 \                   /
8.43/2.40	(b,false) is interpreted by
8.43/2.40	 /                   \
8.43/2.40	| 1 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 1 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 1 0 0 0 |
8.43/2.40	| 0 0 1 0 0 0 0 2 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	| 0 0 0 0 0 0 0 0 0 0 |
8.43/2.40	 \                   /
8.43/2.40	
8.43/2.40	Remains to prove termination of the 1-rule system
8.43/2.40	{ (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) ->= (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
8.43/2.40	
8.43/2.40	
8.43/2.40	The system is trivially terminating.
8.43/2.44	EOF