0.00/0.49	YES
0.00/0.50	
0.00/0.50	
0.00/0.50	The system was reversed.
0.00/0.50	
0.00/0.50	Remains to prove termination of the 1-rule system
0.00/0.50	{ a b a b a a b -> b a a b b a b a a }
0.00/0.50	
0.00/0.50	
0.00/0.50	The dependency pairs transformation was applied.
0.00/0.50	
0.00/0.50	Remains to prove termination of the 6-rule system
0.00/0.50	{ (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) (a,false) ,
0.00/0.50	  (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (b,false) (a,false) (b,false) (a,false) (a,false) ,
0.00/0.50	  (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (b,false) (a,false) (a,false) ,
0.00/0.50	  (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) (a,false) ,
0.00/0.50	  (a,true) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) -> (a,true) ,
0.00/0.50	  (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) (a,false) }
0.00/0.50	
0.00/0.50	
0.00/0.50	
0.00/0.50	
0.00/0.50	The system was filtered by the following matrix interpretation
0.00/0.50	of type E_J with J = {1,...,2} and dimension 8:
0.00/0.50	
0.00/0.50	(a,true) is interpreted by
0.00/0.50	 /               \
0.00/0.50	| 1 0 1 0 0 0 0 0 |
0.00/0.50	| 0 1 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	 \               /
0.00/0.50	(b,false) is interpreted by
0.00/0.50	 /               \
0.00/0.50	| 1 0 0 0 0 0 0 0 |
0.00/0.50	| 0 1 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 2 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 1 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 1 1 0 0 0 0 1 |
0.00/0.50	 \               /
0.00/0.50	(a,false) is interpreted by
0.00/0.50	 /               \
0.00/0.50	| 1 0 0 0 0 0 0 0 |
0.00/0.50	| 0 1 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 1 0 0 0 |
0.00/0.50	| 0 0 1 0 0 0 0 0 |
0.00/0.50	| 0 0 0 0 0 0 1 0 |
0.00/0.50	| 0 0 0 0 0 0 0 1 |
0.00/0.50	| 0 0 1 0 0 0 0 0 |
0.00/0.50	 \               /
0.00/0.50	
0.00/0.50	Remains to prove termination of the 1-rule system
0.00/0.50	{ (a,false) (b,false) (a,false) (b,false) (a,false) (a,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (b,false) (a,false) (b,false) (a,false) (a,false) }
0.00/0.50	
0.00/0.50	
0.00/0.50	The system is trivially terminating.
0.00/0.55	EOF