6.27/1.83	YES
6.43/1.85	
6.43/1.85	
6.43/1.85	The dependency pairs transformation was applied.
6.43/1.85	
6.43/1.85	Remains to prove termination of the 8-rule system
6.43/1.85	{ (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,true) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) -> (a,true) (b,false) (c,false) (b,false) ,
6.43/1.85	  (a,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ->= (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) }
6.43/1.85	
6.43/1.85	
6.43/1.85	
6.43/1.85	
6.43/1.85	The system was filtered by the following matrix interpretation
6.43/1.85	of type E_J with J = {1,...,2} and dimension 10:
6.43/1.85	
6.43/1.85	(a,true) is interpreted by
6.43/1.85	 /                   \
6.43/1.85	| 1 0 1 0 0 0 0 0 0 0 |
6.43/1.85	| 0 1 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	 \                   /
6.43/1.85	(b,false) is interpreted by
6.43/1.85	 /                   \
6.43/1.85	| 1 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 1 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 1 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 1 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	 \                   /
6.43/1.85	(c,false) is interpreted by
6.43/1.85	 /                   \
6.43/1.85	| 1 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 1 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 1 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	 \                   /
6.43/1.85	(a,false) is interpreted by
6.43/1.85	 /                   \
6.43/1.85	| 1 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 1 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 0 0 0 0 0 0 0 0 |
6.43/1.85	| 0 0 1 0 0 0 1 0 0 0 |
6.43/1.85	| 0 0 1 0 0 0 0 1 0 0 |
6.43/1.85	| 0 0 1 0 0 0 0 0 1 0 |
6.43/1.85	| 0 0 1 0 0 0 0 0 0 1 |
6.43/1.85	| 0 1 1 0 0 1 0 0 0 0 |
6.43/1.85	 \                   /
6.43/1.85	
6.43/1.85	Remains to prove termination of the 1-rule system
6.43/1.85	{ (a,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) (a,false) (a,false) ->= (a,false) (a,false) (a,false) (a,false) (a,false) (a,false) (b,false) (c,false) (b,false) (a,false) (b,false) (c,false) (b,false) }
6.43/1.85	
6.43/1.85	
6.43/1.85	The system is trivially terminating.
6.43/1.91	EOF