0.00/0.53	YES
0.00/0.54	
0.00/0.54	
0.00/0.54	The system was reversed.
0.00/0.54	
0.00/0.54	Remains to prove termination of the 1-rule system
0.00/0.54	{ a a b a b -> b a b a b a a a }
0.00/0.54	
0.00/0.54	
0.00/0.54	The dependency pairs transformation was applied.
0.00/0.54	
0.00/0.54	Remains to prove termination of the 6-rule system
0.00/0.54	{ (a,true) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) ,
0.00/0.54	  (a,true) (a,false) (b,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (a,false) (a,false) ,
0.00/0.54	  (a,true) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) (a,false) ,
0.00/0.54	  (a,true) (a,false) (b,false) (a,false) (b,false) -> (a,true) (a,false) ,
0.00/0.54	  (a,true) (a,false) (b,false) (a,false) (b,false) -> (a,true) ,
0.00/0.54	  (a,false) (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) }
0.00/0.54	
0.00/0.54	
0.00/0.54	
0.00/0.54	
0.00/0.54	The system was filtered by the following matrix interpretation
0.00/0.54	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.54	
0.00/0.54	(a,true) is interpreted by
0.00/0.54	 /           \
0.00/0.54	| 1 0 1 0 0 0 |
0.00/0.54	| 0 1 0 0 0 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	 \           /
0.00/0.54	(a,false) is interpreted by
0.00/0.54	 /           \
0.00/0.54	| 1 0 0 0 0 0 |
0.00/0.54	| 0 1 0 0 0 0 |
0.00/0.54	| 0 0 0 1 0 0 |
0.00/0.54	| 0 0 1 0 0 0 |
0.00/0.54	| 0 0 0 0 0 1 |
0.00/0.54	| 0 0 2 0 0 0 |
0.00/0.54	 \           /
0.00/0.54	(b,false) is interpreted by
0.00/0.54	 /           \
0.00/0.54	| 1 0 0 0 0 0 |
0.00/0.54	| 0 1 0 0 0 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	| 0 0 0 0 1 0 |
0.00/0.54	| 0 0 0 0 0 0 |
0.00/0.54	| 0 1 1 2 0 0 |
0.00/0.54	 \           /
0.00/0.54	
0.00/0.54	Remains to prove termination of the 1-rule system
0.00/0.54	{ (a,false) (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (a,false) }
0.00/0.54	
0.00/0.54	
0.00/0.54	The system is trivially terminating.
1.44/0.58	EOF