81.25/20.86	YES
81.50/20.88	
81.50/20.88	
81.50/20.88	The system was reversed.
81.50/20.88	
81.50/20.88	Remains to prove termination of the 1-rule system
81.50/20.88	{ a a a a a b a a a -> b a a a a b a a a a a a a a }
81.50/20.88	
81.50/20.88	
81.50/20.88	The dependency pairs transformation was applied.
81.50/20.88	
81.50/20.88	Remains to prove termination of the 13-rule system
81.50/20.88	{ (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) ,
81.50/20.88	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) -> (a,true) ,
81.50/20.88	  (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
81.50/20.88	
81.50/20.88	
81.50/20.88	
81.50/20.88	
81.50/20.88	The system was filtered by the following matrix interpretation
81.50/20.88	of type E_J with J = {1,...,2} and dimension 10:
81.50/20.88	
81.50/20.88	(a,true) is interpreted by
81.50/20.88	 /                   \
81.50/20.88	| 1 0 1 0 0 0 0 0 0 0 |
81.50/20.88	| 0 1 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	 \                   /
81.50/20.88	(a,false) is interpreted by
81.50/20.88	 /                   \
81.50/20.88	| 1 0 1 0 0 0 0 0 0 0 |
81.50/20.88	| 0 1 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 1 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 1 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 1 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 1 0 0 0 |
81.50/20.88	| 0 0 2 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 1 0 |
81.50/20.88	| 0 0 1 0 0 0 0 0 0 1 |
81.50/20.88	| 0 1 1 0 1 0 0 0 0 0 |
81.50/20.88	 \                   /
81.50/20.88	(b,false) is interpreted by
81.50/20.88	 /                   \
81.50/20.88	| 1 0 0 1 0 0 0 0 0 0 |
81.50/20.88	| 0 1 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 1 0 0 0 0 2 0 2 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	| 0 0 0 0 0 0 0 0 0 0 |
81.50/20.88	 \                   /
81.50/20.88	
81.50/20.88	Remains to prove termination of the 0-rule system
81.50/20.88	{ }
81.50/20.88	
81.50/20.88	
81.50/20.88	The system is trivially terminating.
81.50/20.92	EOF