0.00/0.46	YES
0.00/0.47	
0.00/0.47	
0.00/0.47	The dependency pairs transformation was applied.
0.00/0.47	
0.00/0.47	Remains to prove termination of the 5-rule system
0.00/0.47	{ (a,true) (b,false) (a,false) (b,false) -> (a,true) (b,false) (b,false) (a,false) (a,false) ,
0.00/0.47	  (a,true) (b,false) (a,false) (b,false) -> (a,true) (a,false) ,
0.00/0.47	  (a,true) (b,false) (a,false) (b,false) -> (a,true) ,
0.00/0.47	  (a,false) (a,false) ->= ,
0.00/0.47	  (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (b,false) (a,false) (a,false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	
0.00/0.47	The system was filtered by the following matrix interpretation
0.00/0.47	of type E_J with J = {1,...,2} and dimension 5:
0.00/0.47	
0.00/0.47	(a,true) is interpreted by
0.00/0.47	 /         \
0.00/0.47	| 1 0 1 0 0 |
0.00/0.47	| 0 1 0 0 0 |
0.00/0.47	| 0 0 0 0 0 |
0.00/0.47	| 0 0 0 0 0 |
0.00/0.47	| 0 0 0 0 0 |
0.00/0.47	 \         /
0.00/0.47	(b,false) is interpreted by
0.00/0.47	 /         \
0.00/0.47	| 1 0 0 0 0 |
0.00/0.47	| 0 1 0 0 0 |
0.00/0.47	| 0 0 0 1 0 |
0.00/0.47	| 0 0 0 0 0 |
0.00/0.47	| 0 1 2 1 0 |
0.00/0.47	 \         /
0.00/0.47	(a,false) is interpreted by
0.00/0.47	 /         \
0.00/0.47	| 1 0 0 0 0 |
0.00/0.47	| 0 1 0 0 0 |
0.00/0.47	| 0 0 2 0 0 |
0.00/0.47	| 0 0 0 0 1 |
0.00/0.47	| 0 0 2 1 0 |
0.00/0.47	 \         /
0.00/0.47	
0.00/0.47	Remains to prove termination of the 2-rule system
0.00/0.47	{ (a,false) (a,false) ->= ,
0.00/0.47	  (a,false) (b,false) (a,false) (b,false) ->= (b,false) (a,false) (b,false) (b,false) (a,false) (a,false) }
0.00/0.47	
0.00/0.47	
0.00/0.47	The system is trivially terminating.
0.00/0.50	EOF