10.03/2.84	YES
10.03/2.86	
10.03/2.86	
10.03/2.86	The system was reversed.
10.03/2.86	
10.03/2.86	Remains to prove termination of the 1-rule system
10.03/2.86	{ a a a a a b a -> b a a a b a a b a a a a a a }
10.03/2.86	
10.03/2.86	
10.03/2.86	The dependency pairs transformation was applied.
10.03/2.86	
10.03/2.86	Remains to prove termination of the 12-rule system
10.03/2.86	{ (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
10.03/2.86	  (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
10.03/2.86	  (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
10.03/2.86	
10.03/2.86	
10.03/2.86	
10.03/2.86	
10.03/2.86	The system was filtered by the following matrix interpretation
10.03/2.86	of type E_J with J = {1,...,2} and dimension 8:
10.03/2.86	
10.03/2.86	(a,true) is interpreted by
10.03/2.86	 /               \
10.03/2.86	| 1 0 1 0 0 0 0 0 |
10.03/2.86	| 0 1 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	 \               /
10.03/2.86	(a,false) is interpreted by
10.03/2.86	 /               \
10.03/2.86	| 1 0 0 0 0 0 0 0 |
10.03/2.86	| 0 1 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 3 0 0 0 0 |
10.03/2.86	| 0 0 0 0 1 0 0 0 |
10.03/2.86	| 0 0 0 0 0 1 0 0 |
10.03/2.86	| 0 0 0 0 0 0 1 0 |
10.03/2.86	| 0 0 1 0 0 0 0 0 |
10.03/2.86	| 0 1 1 0 1 0 0 0 |
10.03/2.86	 \               /
10.03/2.86	(b,false) is interpreted by
10.03/2.86	 /               \
10.03/2.86	| 1 0 0 0 0 0 0 0 |
10.03/2.86	| 0 1 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	| 0 0 1 0 1 1 0 1 |
10.03/2.86	| 0 0 0 0 0 0 0 0 |
10.03/2.86	 \               /
10.03/2.86	
10.03/2.86	Remains to prove termination of the 1-rule system
10.03/2.86	{ (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
10.03/2.86	
10.03/2.86	
10.03/2.86	The system is trivially terminating.
10.36/2.88	EOF