0.00/0.57	YES
1.57/0.59	
1.57/0.59	
1.57/0.59	The system was reversed.
1.57/0.59	
1.57/0.59	Remains to prove termination of the 1-rule system
1.57/0.59	{ a a a a b a a -> b a a b a a a a a a }
1.57/0.59	
1.57/0.59	
1.57/0.59	The dependency pairs transformation was applied.
1.57/0.59	
1.57/0.59	Remains to prove termination of the 9-rule system
1.57/0.59	{ (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) (a,false) ,
1.57/0.59	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (a,true) ,
1.57/0.59	  (a,false) (a,false) (a,false) (a,false) (b,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) }
1.57/0.59	
1.57/0.59	
1.57/0.59	
1.57/0.59	
1.57/0.59	The system was filtered by the following matrix interpretation
1.57/0.59	of type E_J with J = {1,...,2} and dimension 8:
1.57/0.59	
1.57/0.59	(a,true) is interpreted by
1.57/0.59	 /               \
1.57/0.59	| 1 0 1 0 0 0 0 0 |
1.57/0.59	| 0 1 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	 \               /
1.57/0.59	(a,false) is interpreted by
1.57/0.59	 /               \
1.57/0.59	| 1 0 0 0 0 0 0 0 |
1.57/0.59	| 0 1 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 2 0 0 0 0 |
1.57/0.59	| 0 0 0 0 1 0 0 0 |
1.57/0.59	| 0 0 0 0 0 1 0 0 |
1.57/0.59	| 0 0 1 0 0 0 0 0 |
1.57/0.59	| 0 0 1 0 0 0 0 1 |
1.57/0.59	| 0 1 1 0 1 0 0 0 |
1.57/0.59	 \               /
1.57/0.59	(b,false) is interpreted by
1.57/0.59	 /               \
1.57/0.59	| 1 0 0 0 0 0 0 0 |
1.57/0.59	| 0 1 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 1 0 0 1 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	| 0 0 0 0 0 0 0 0 |
1.57/0.59	 \               /
1.57/0.59	
1.57/0.59	Remains to prove termination of the 1-rule system
1.57/0.59	{ (a,false) (a,false) (a,false) (a,false) (b,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) }
1.57/0.59	
1.57/0.59	
1.57/0.59	The system is trivially terminating.
1.57/0.62	EOF