2.40/0.84	YES
2.70/0.88	
2.70/0.88	
2.70/0.88	The dependency pairs transformation was applied.
2.70/0.88	
2.70/0.88	Remains to prove termination of the 8-rule system
2.70/0.88	{ (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (0,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) }
2.70/0.88	
2.70/0.88	
2.70/0.88	
2.70/0.88	
2.70/0.88	The system was filtered by the following matrix interpretation
2.70/0.88	of type E_J with J = {1,...,2} and dimension 8:
2.70/0.88	
2.70/0.88	(0,true) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 1 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	(1,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 1 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 1 |
2.70/0.88	 \               /
2.70/0.88	(2,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 1 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	(3,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 1 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	(4,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 1 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	(5,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 1 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	(0,false) is interpreted by
2.70/0.88	 /               \
2.70/0.88	| 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 3 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 |
2.70/0.88	 \               /
2.70/0.88	
2.70/0.88	Remains to prove termination of the 6-rule system
2.70/0.88	{ (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) -> (0,true) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (0,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) }
2.70/0.88	
2.70/0.88	
2.70/0.88	The system was filtered by the following matrix interpretation
2.70/0.88	of type E_J with J = {1,...,2} and dimension 14:
2.70/0.88	
2.70/0.88	(0,true) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 1 0 0 0 0 0 1 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(1,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(2,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(3,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(4,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(5,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	(0,false) is interpreted by
2.70/0.88	 /                           \
2.70/0.88	| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
2.70/0.88	 \                           /
2.70/0.88	
2.70/0.88	Remains to prove termination of the 3-rule system
2.70/0.88	{ (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (0,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) ,
2.70/0.88	  (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) ->= (1,false) (2,false) (3,false) (4,false) (5,false) (1,false) (1,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) (0,false) (1,false) (2,false) (3,false) (4,false) (5,false) }
2.70/0.88	
2.70/0.88	
2.70/0.88	The system is trivially terminating.
2.76/0.92	EOF