13.20/3.71	YES
13.20/3.73	
13.20/3.73	
13.20/3.73	The dependency pairs transformation was applied.
13.20/3.73	
13.20/3.73	Remains to prove termination of the 11-rule system
13.20/3.73	{ (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (b,false) ,
13.20/3.73	  (a,true) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (b,false) ,
13.20/3.73	  (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ->= (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) }
13.20/3.73	
13.20/3.73	
13.20/3.73	
13.20/3.73	
13.20/3.73	The system was filtered by the following matrix interpretation
13.20/3.73	of type E_J with J = {1,...,2} and dimension 10:
13.20/3.73	
13.20/3.73	(a,true) is interpreted by
13.20/3.73	 /                   \
13.20/3.73	| 1 0 1 0 0 0 0 0 0 0 |
13.20/3.73	| 0 1 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	 \                   /
13.20/3.73	(b,false) is interpreted by
13.20/3.73	 /                   \
13.20/3.73	| 1 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 1 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 1 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 1 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 1 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 1 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 1 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 1 0 0 0 0 0 0 |
13.20/3.73	 \                   /
13.20/3.73	(a,false) is interpreted by
13.20/3.73	 /                   \
13.20/3.73	| 1 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 1 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 0 |
13.20/3.73	| 0 0 1 0 0 1 0 0 0 0 |
13.20/3.73	| 0 0 1 0 0 0 1 0 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 1 0 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 1 0 |
13.20/3.73	| 0 0 0 0 0 0 0 0 0 1 |
13.20/3.73	| 0 1 1 0 1 0 0 0 0 0 |
13.20/3.73	 \                   /
13.20/3.73	
13.20/3.73	Remains to prove termination of the 1-rule system
13.20/3.73	{ (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) ->= (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) (b,false) }
13.20/3.73	
13.20/3.73	
13.20/3.73	The system is trivially terminating.
13.49/3.86	EOF