0.00/0.37	YES
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.38	
0.00/0.38	a is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	b is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 1 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	c is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 2-rule system
0.00/0.38	{ a b -> b a a ,
0.00/0.38	  a a -> a c a }
0.00/0.38	
0.00/0.38	
0.00/0.38	The dependency pairs transformation was applied.
0.00/0.38	
0.00/0.38	Remains to prove termination of the 6-rule system
0.00/0.38	{ (a,true) (b,false) -> (a,true) (a,false) ,
0.00/0.38	  (a,true) (b,false) -> (a,true) ,
0.00/0.38	  (a,true) (a,false) -> (a,true) (c,false) (a,false) ,
0.00/0.38	  (a,true) (a,false) -> (a,true) ,
0.00/0.38	  (a,false) (b,false) ->= (b,false) (a,false) (a,false) ,
0.00/0.38	  (a,false) (a,false) ->= (a,false) (c,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.38	
0.00/0.38	(a,true) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	(b,false) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 1 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	(a,false) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	(c,false) is interpreted by
0.00/0.38	 /   \
0.00/0.38	| 1 0 |
0.00/0.38	| 0 1 |
0.00/0.38	 \   /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 4-rule system
0.00/0.38	{ (a,true) (a,false) -> (a,true) (c,false) (a,false) ,
0.00/0.38	  (a,true) (a,false) -> (a,true) ,
0.00/0.38	  (a,false) (b,false) ->= (b,false) (a,false) (a,false) ,
0.00/0.38	  (a,false) (a,false) ->= (a,false) (c,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system was filtered by the following matrix interpretation
0.00/0.38	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.38	
0.00/0.38	(a,true) is interpreted by
0.00/0.38	 /     \
0.00/0.38	| 1 0 1 |
0.00/0.38	| 0 1 0 |
0.00/0.38	| 0 0 0 |
0.00/0.38	 \     /
0.00/0.38	(b,false) is interpreted by
0.00/0.38	 /     \
0.00/0.38	| 1 0 0 |
0.00/0.38	| 0 1 0 |
0.00/0.38	| 0 0 0 |
0.00/0.38	 \     /
0.00/0.38	(a,false) is interpreted by
0.00/0.38	 /     \
0.00/0.38	| 1 0 0 |
0.00/0.38	| 0 1 0 |
0.00/0.38	| 0 1 1 |
0.00/0.38	 \     /
0.00/0.38	(c,false) is interpreted by
0.00/0.38	 /     \
0.00/0.38	| 1 0 0 |
0.00/0.38	| 0 1 0 |
0.00/0.38	| 0 0 0 |
0.00/0.38	 \     /
0.00/0.38	
0.00/0.38	Remains to prove termination of the 2-rule system
0.00/0.38	{ (a,false) (b,false) ->= (b,false) (a,false) (a,false) ,
0.00/0.38	  (a,false) (a,false) ->= (a,false) (c,false) (a,false) }
0.00/0.38	
0.00/0.38	
0.00/0.38	The system is trivially terminating.
0.00/0.41	EOF