1.48/0.58	YES
1.48/0.60	
1.48/0.60	
1.48/0.60	The dependency pairs transformation was applied.
1.48/0.60	
1.48/0.60	Remains to prove termination of the 5-rule system
1.48/0.60	{ (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) ,
1.48/0.60	  (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) ,
1.48/0.60	  (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) ,
1.48/0.60	  (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) ,
1.48/0.60	  (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) }
1.48/0.60	
1.48/0.60	
1.48/0.60	
1.48/0.60	
1.48/0.60	The system was filtered by the following matrix interpretation
1.48/0.60	of type E_J with J = {1,...,2} and dimension 5:
1.48/0.60	
1.48/0.60	(0,true) is interpreted by
1.48/0.60	 /         \
1.48/0.60	| 1 0 1 0 0 |
1.48/0.60	| 0 1 0 0 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	 \         /
1.48/0.60	(1,false) is interpreted by
1.48/0.60	 /         \
1.48/0.60	| 1 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 |
1.48/0.60	| 0 0 0 1 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 1 |
1.48/0.60	 \         /
1.48/0.60	(2,false) is interpreted by
1.48/0.60	 /         \
1.48/0.60	| 1 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 1 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	 \         /
1.48/0.60	(0,false) is interpreted by
1.48/0.60	 /         \
1.48/0.60	| 1 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 |
1.48/0.60	| 0 2 1 0 0 |
1.48/0.60	| 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 |
1.48/0.60	 \         /
1.48/0.60	
1.48/0.60	Remains to prove termination of the 4-rule system
1.48/0.60	{ (0,true) (1,false) (2,false) (1,false) -> (0,true) (1,false) (2,false) (0,false) (1,false) (2,false) ,
1.48/0.60	  (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) ,
1.48/0.60	  (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) ,
1.48/0.60	  (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) }
1.48/0.60	
1.48/0.60	
1.48/0.60	The system was filtered by the following matrix interpretation
1.48/0.60	of type E_J with J = {1,...,2} and dimension 8:
1.48/0.60	
1.48/0.60	(0,true) is interpreted by
1.48/0.60	 /               \
1.48/0.60	| 1 0 1 0 0 1 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	 \               /
1.48/0.60	(1,false) is interpreted by
1.48/0.60	 /               \
1.48/0.60	| 1 0 0 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 1 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 1 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 1 0 0 0 |
1.48/0.60	 \               /
1.48/0.60	(2,false) is interpreted by
1.48/0.60	 /               \
1.48/0.60	| 1 0 0 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 1 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 1 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	 \               /
1.48/0.60	(0,false) is interpreted by
1.48/0.60	 /               \
1.48/0.60	| 1 0 0 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 1 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 1 0 0 0 0 0 |
1.48/0.60	| 0 1 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	| 0 0 0 0 0 0 0 0 |
1.48/0.60	 \               /
1.48/0.60	
1.48/0.60	Remains to prove termination of the 2-rule system
1.48/0.60	{ (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) ,
1.48/0.60	  (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) }
1.48/0.60	
1.48/0.60	
1.48/0.60	The system is trivially terminating.
1.70/0.63	EOF