3.14/1.01	YES
3.14/1.03	
3.14/1.03	
3.14/1.03	The dependency pairs transformation was applied.
3.14/1.03	
3.14/1.03	Remains to prove termination of the 13-rule system
3.14/1.03	{ (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) ,
3.14/1.03	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) }
3.14/1.03	
3.14/1.03	
3.14/1.03	
3.14/1.03	
3.14/1.03	The system was filtered by the following matrix interpretation
3.14/1.03	of type E_J with J = {1,...,2} and dimension 5:
3.14/1.03	
3.14/1.03	(0,true) is interpreted by
3.14/1.03	 /         \
3.14/1.03	| 1 0 1 0 0 |
3.14/1.03	| 0 1 0 0 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	 \         /
3.14/1.03	(1,false) is interpreted by
3.14/1.03	 /         \
3.14/1.03	| 1 0 0 0 0 |
3.14/1.03	| 0 1 0 0 0 |
3.14/1.03	| 0 0 0 1 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	| 0 1 0 0 1 |
3.14/1.03	 \         /
3.14/1.03	(2,false) is interpreted by
3.14/1.03	 /         \
3.14/1.03	| 1 0 0 0 0 |
3.14/1.03	| 0 1 0 0 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	| 0 0 0 0 1 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	 \         /
3.14/1.03	(0,false) is interpreted by
3.14/1.03	 /         \
3.14/1.03	| 1 0 0 0 0 |
3.14/1.03	| 0 1 0 0 0 |
3.14/1.03	| 0 1 1 0 0 |
3.14/1.03	| 0 0 0 0 0 |
3.14/1.03	| 0 0 1 0 0 |
3.14/1.03	 \         /
3.14/1.03	
3.14/1.03	Remains to prove termination of the 6-rule system
3.14/1.03	{ (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) ,
3.14/1.03	  (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) }
3.14/1.03	
3.14/1.03	
3.14/1.03	The system is trivially terminating.
3.35/1.07	EOF