1.79/0.64	YES
1.79/0.65	
1.79/0.65	
1.79/0.65	The dependency pairs transformation was applied.
1.79/0.65	
1.79/0.65	Remains to prove termination of the 9-rule system
1.79/0.65	{ (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) ,
1.79/0.65	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) }
1.79/0.65	
1.79/0.65	
1.79/0.65	
1.79/0.65	
1.79/0.65	The system was filtered by the following matrix interpretation
1.79/0.65	of type E_J with J = {1,...,2} and dimension 5:
1.79/0.65	
1.79/0.65	(0,true) is interpreted by
1.79/0.65	 /         \
1.79/0.65	| 1 0 1 0 0 |
1.79/0.65	| 0 1 0 0 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	 \         /
1.79/0.65	(1,false) is interpreted by
1.79/0.65	 /         \
1.79/0.65	| 1 0 0 0 0 |
1.79/0.65	| 0 1 0 0 0 |
1.79/0.65	| 0 0 0 1 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	| 0 1 0 0 1 |
1.79/0.65	 \         /
1.79/0.65	(2,false) is interpreted by
1.79/0.65	 /         \
1.79/0.65	| 1 0 0 0 0 |
1.79/0.65	| 0 1 0 0 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	| 0 0 0 0 1 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	 \         /
1.79/0.65	(0,false) is interpreted by
1.79/0.65	 /         \
1.79/0.65	| 1 0 0 0 0 |
1.79/0.65	| 0 1 0 0 0 |
1.79/0.65	| 0 1 1 0 0 |
1.79/0.65	| 0 0 0 0 0 |
1.79/0.65	| 0 0 1 0 0 |
1.79/0.65	 \         /
1.79/0.65	
1.79/0.65	Remains to prove termination of the 4-rule system
1.79/0.65	{ (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) ,
1.79/0.65	  (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) }
1.79/0.65	
1.79/0.65	
1.79/0.65	The system is trivially terminating.
1.87/0.69	EOF