0.00/0.44	YES
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was reversed.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 1-rule system
0.00/0.46	{ a a c b c b -> c b c b c b a a a }
0.00/0.46	
0.00/0.46	
0.00/0.46	The dependency pairs transformation was applied.
0.00/0.46	
0.00/0.46	Remains to prove termination of the 4-rule system
0.00/0.46	{ (a,true) (a,false) (c,false) (b,false) (c,false) (b,false) -> (a,true) (a,false) (a,false) ,
0.00/0.46	  (a,true) (a,false) (c,false) (b,false) (c,false) (b,false) -> (a,true) (a,false) ,
0.00/0.46	  (a,true) (a,false) (c,false) (b,false) (c,false) (b,false) -> (a,true) ,
0.00/0.46	  (a,false) (a,false) (c,false) (b,false) (c,false) (b,false) ->= (c,false) (b,false) (c,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) }
0.00/0.46	
0.00/0.46	
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 7:
0.00/0.46	
0.00/0.46	(a,true) is interpreted by
0.00/0.46	 /             \
0.00/0.46	| 1 0 1 0 0 0 0 |
0.00/0.46	| 0 1 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	 \             /
0.00/0.46	(a,false) is interpreted by
0.00/0.46	 /             \
0.00/0.46	| 1 0 0 0 0 0 0 |
0.00/0.46	| 0 1 0 0 0 0 0 |
0.00/0.46	| 0 0 0 1 0 0 0 |
0.00/0.46	| 0 0 1 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 2 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	 \             /
0.00/0.46	(c,false) is interpreted by
0.00/0.46	 /             \
0.00/0.46	| 1 0 0 0 0 0 0 |
0.00/0.46	| 0 1 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 1 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 1 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	 \             /
0.00/0.46	(b,false) is interpreted by
0.00/0.46	 /             \
0.00/0.46	| 1 0 0 0 0 0 0 |
0.00/0.46	| 0 1 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 0 0 0 0 1 0 |
0.00/0.46	| 0 0 0 0 0 0 0 |
0.00/0.46	| 0 1 2 1 0 0 0 |
0.00/0.46	 \             /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 1-rule system
0.00/0.46	{ (a,false) (a,false) (c,false) (b,false) (c,false) (b,false) ->= (c,false) (b,false) (c,false) (b,false) (c,false) (b,false) (a,false) (a,false) (a,false) }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system is trivially terminating.
0.00/0.49	EOF