6.09/1.77	YES
6.09/1.80	
6.09/1.80	
6.09/1.80	The dependency pairs transformation was applied.
6.09/1.80	
6.09/1.80	Remains to prove termination of the 19-rule system
6.09/1.80	{ (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) }
6.09/1.80	
6.09/1.80	
6.09/1.80	
6.09/1.80	
6.09/1.80	The system was filtered by the following matrix interpretation
6.09/1.80	of type E_J with J = {1,...,2} and dimension 5:
6.09/1.80	
6.09/1.80	(0,true) is interpreted by
6.09/1.80	 /         \
6.09/1.80	| 1 0 1 0 0 |
6.09/1.80	| 0 1 0 0 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	 \         /
6.09/1.80	(1,false) is interpreted by
6.09/1.80	 /         \
6.09/1.80	| 1 0 0 0 0 |
6.09/1.80	| 0 1 0 0 0 |
6.09/1.80	| 0 0 0 1 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	| 0 1 0 0 1 |
6.09/1.80	 \         /
6.09/1.80	(2,false) is interpreted by
6.09/1.80	 /         \
6.09/1.80	| 1 0 0 0 0 |
6.09/1.80	| 0 1 0 0 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	| 0 0 0 0 1 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	 \         /
6.09/1.80	(0,false) is interpreted by
6.09/1.80	 /         \
6.09/1.80	| 1 0 0 0 0 |
6.09/1.80	| 0 1 0 0 0 |
6.09/1.80	| 0 1 1 0 0 |
6.09/1.80	| 0 0 0 0 0 |
6.09/1.80	| 0 0 1 0 0 |
6.09/1.80	 \         /
6.09/1.80	
6.09/1.80	Remains to prove termination of the 9-rule system
6.09/1.80	{ (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) ,
6.09/1.80	  (0,false) (1,false) (2,false) (1,false) ->= (1,false) (2,false) (1,false) (1,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) (0,false) (1,false) (2,false) }
6.09/1.80	
6.09/1.80	
6.09/1.80	The system is trivially terminating.
6.35/1.88	EOF