3.91/1.24	YES
3.91/1.25	
3.91/1.25	
3.91/1.25	The dependency pairs transformation was applied.
3.91/1.25	
3.91/1.25	Remains to prove termination of the 4-rule system
3.91/1.25	{ (b,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (b,true) (b,false) (a,false) (a,false) (a,false) (b,false) ,
3.91/1.25	  (b,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (b,true) (a,false) (a,false) (a,false) (b,false) ,
3.91/1.25	  (b,true) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) -> (b,true) ,
3.91/1.25	  (b,false) (a,false) (a,false) (a,false) (b,false) (a,false) (a,false) ->= (a,false) (a,false) (a,false) (b,false) (b,false) (a,false) (a,false) (a,false) (b,false) }
3.91/1.25	
3.91/1.25	
3.91/1.25	
3.91/1.25	
3.91/1.25	The system was filtered by the following matrix interpretation
3.91/1.25	of type E_J with J = {1,...,2} and dimension 8:
3.91/1.25	
3.91/1.25	(b,true) is interpreted by
3.91/1.25	 /               \
3.91/1.25	| 1 0 1 0 0 0 0 0 |
3.91/1.25	| 0 1 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	 \               /
3.91/1.25	(a,false) is interpreted by
3.91/1.25	 /               \
3.91/1.25	| 1 0 1 0 0 0 0 0 |
3.91/1.25	| 0 1 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 1 1 0 0 0 |
3.91/1.25	| 0 0 0 0 1 0 0 0 |
3.91/1.25	| 0 0 0 0 0 1 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 1 |
3.91/1.25	| 0 1 0 0 0 0 2 0 |
3.91/1.25	 \               /
3.91/1.25	(b,false) is interpreted by
3.91/1.25	 /               \
3.91/1.25	| 1 0 0 0 0 0 1 0 |
3.91/1.25	| 0 1 0 0 0 0 0 0 |
3.91/1.25	| 0 0 1 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 1 0 |
3.91/1.25	| 0 0 1 0 0 0 0 0 |
3.91/1.25	| 0 0 0 0 0 0 1 0 |
3.91/1.25	 \               /
3.91/1.25	
3.91/1.25	Remains to prove termination of the 0-rule system
3.91/1.25	{ }
3.91/1.25	
3.91/1.25	
3.91/1.25	The system is trivially terminating.
4.23/1.28	EOF