0.00/0.47	YES
0.00/0.49	
0.00/0.49	
0.00/0.49	The system was reversed.
0.00/0.49	
0.00/0.49	Remains to prove termination of the 1-rule system
0.00/0.49	{ a a a a b a -> b a b a a b a a a a a }
0.00/0.49	
0.00/0.49	
0.00/0.49	The dependency pairs transformation was applied.
0.00/0.49	
0.00/0.49	Remains to prove termination of the 9-rule system
0.00/0.49	{ (a,true) (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) ,
0.00/0.49	  (a,true) (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) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) (a,false) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) (a,false) ,
0.00/0.49	  (a,true) (a,false) (a,false) (a,false) (b,false) (a,false) -> (a,true) ,
0.00/0.49	  (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
0.00/0.49	
0.00/0.49	
0.00/0.49	
0.00/0.49	
0.00/0.49	The system was filtered by the following matrix interpretation
0.00/0.49	of type E_J with J = {1,...,2} and dimension 7:
0.00/0.49	
0.00/0.49	(a,true) is interpreted by
0.00/0.49	 /             \
0.00/0.49	| 1 0 1 0 0 0 0 |
0.00/0.49	| 0 1 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	 \             /
0.00/0.49	(a,false) is interpreted by
0.00/0.49	 /             \
0.00/0.49	| 1 0 0 0 0 0 0 |
0.00/0.49	| 0 1 0 0 0 0 0 |
0.00/0.49	| 0 0 0 3 0 0 0 |
0.00/0.49	| 0 0 0 0 1 0 0 |
0.00/0.49	| 0 0 0 0 0 1 0 |
0.00/0.49	| 0 0 1 0 0 0 0 |
0.00/0.49	| 0 1 1 1 0 0 0 |
0.00/0.49	 \             /
0.00/0.49	(b,false) is interpreted by
0.00/0.49	 /             \
0.00/0.49	| 1 0 0 0 0 0 0 |
0.00/0.49	| 0 1 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	| 0 0 0 1 1 0 1 |
0.00/0.49	| 0 0 0 0 0 0 0 |
0.00/0.49	 \             /
0.00/0.49	
0.00/0.49	Remains to prove termination of the 1-rule system
0.00/0.49	{ (a,false) (a,false) (a,false) (a,false) (b,false) (a,false) ->= (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) }
0.00/0.49	
0.00/0.49	
0.00/0.49	The system is trivially terminating.
0.00/0.51	EOF