0.00/0.41	YES
0.00/0.42	
0.00/0.42	
0.00/0.42	The dependency pairs transformation was applied.
0.00/0.42	
0.00/0.42	Remains to prove termination of the 5-rule system
0.00/0.42	{ (a,true) (b,false) (b,false) -> (a,true) (a,false) (b,false) (a,false) ,
0.00/0.42	  (a,true) (b,false) (b,false) -> (a,true) (b,false) (a,false) ,
0.00/0.42	  (a,true) (b,false) (b,false) -> (a,true) ,
0.00/0.42	  (a,false) (a,false) (a,false) ->= (b,false) ,
0.00/0.42	  (a,false) (b,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (a,false) }
0.00/0.42	
0.00/0.42	
0.00/0.42	
0.00/0.42	
0.00/0.42	The system was filtered by the following matrix interpretation
0.00/0.42	of type E_J with J = {1,...,2} and dimension 6:
0.00/0.42	
0.00/0.42	(a,true) is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 1 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	 \           /
0.00/0.42	(b,false) is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 0 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 2 0 0 |
0.00/0.42	| 0 1 1 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	| 0 0 0 0 0 0 |
0.00/0.42	 \           /
0.00/0.42	(a,false) is interpreted by
0.00/0.42	 /           \
0.00/0.42	| 1 0 0 0 0 0 |
0.00/0.42	| 0 1 0 0 0 0 |
0.00/0.42	| 0 0 0 0 1 0 |
0.00/0.42	| 0 0 1 0 0 0 |
0.00/0.42	| 0 1 1 0 0 2 |
0.00/0.42	| 0 0 0 1 0 0 |
0.00/0.42	 \           /
0.00/0.42	
0.00/0.42	Remains to prove termination of the 2-rule system
0.00/0.42	{ (a,false) (a,false) (a,false) ->= (b,false) ,
0.00/0.42	  (a,false) (b,false) (b,false) ->= (b,false) (a,false) (a,false) (b,false) (a,false) }
0.00/0.42	
0.00/0.42	
0.00/0.42	The system is trivially terminating.
0.00/0.45	EOF