0.00/0.39	YES
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	C is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	c is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	A is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	B is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 6-rule system
0.00/0.40	{ B a a a a -> c A A A ,
0.00/0.40	  A A A b -> a a a a C ,
0.00/0.40	  C b b b b -> a B B B ,
0.00/0.40	  B B B c -> b b b b A ,
0.00/0.40	  A c c c c -> b C C C ,
0.00/0.40	  C C C a -> c c c c B }
0.00/0.40	
0.00/0.40	
0.00/0.40	The dependency pairs transformation was applied.
0.00/0.40	
0.00/0.40	Remains to prove termination of the 18-rule system
0.00/0.40	{ (B,true) (a,false) (a,false) (a,false) (a,false) -> (A,true) (A,false) (A,false) ,
0.00/0.40	  (B,true) (a,false) (a,false) (a,false) (a,false) -> (A,true) (A,false) ,
0.00/0.40	  (B,true) (a,false) (a,false) (a,false) (a,false) -> (A,true) ,
0.00/0.40	  (A,true) (A,false) (A,false) (b,false) -> (C,true) ,
0.00/0.40	  (C,true) (b,false) (b,false) (b,false) (b,false) -> (B,true) (B,false) (B,false) ,
0.00/0.40	  (C,true) (b,false) (b,false) (b,false) (b,false) -> (B,true) (B,false) ,
0.00/0.40	  (C,true) (b,false) (b,false) (b,false) (b,false) -> (B,true) ,
0.00/0.40	  (B,true) (B,false) (B,false) (c,false) -> (A,true) ,
0.00/0.40	  (A,true) (c,false) (c,false) (c,false) (c,false) -> (C,true) (C,false) (C,false) ,
0.00/0.40	  (A,true) (c,false) (c,false) (c,false) (c,false) -> (C,true) (C,false) ,
0.00/0.40	  (A,true) (c,false) (c,false) (c,false) (c,false) -> (C,true) ,
0.00/0.40	  (C,true) (C,false) (C,false) (a,false) -> (B,true) ,
0.00/0.40	  (B,false) (a,false) (a,false) (a,false) (a,false) ->= (c,false) (A,false) (A,false) (A,false) ,
0.00/0.40	  (A,false) (A,false) (A,false) (b,false) ->= (a,false) (a,false) (a,false) (a,false) (C,false) ,
0.00/0.40	  (C,false) (b,false) (b,false) (b,false) (b,false) ->= (a,false) (B,false) (B,false) (B,false) ,
0.00/0.40	  (B,false) (B,false) (B,false) (c,false) ->= (b,false) (b,false) (b,false) (b,false) (A,false) ,
0.00/0.40	  (A,false) (c,false) (c,false) (c,false) (c,false) ->= (b,false) (C,false) (C,false) (C,false) ,
0.00/0.40	  (C,false) (C,false) (C,false) (a,false) ->= (c,false) (c,false) (c,false) (c,false) (B,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	(B,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(a,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(b,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 4 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(B,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(c,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 2 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 3 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 8-rule system
0.00/0.40	{ (B,true) (a,false) (a,false) (a,false) (a,false) -> (A,true) (A,false) (A,false) ,
0.00/0.40	  (A,true) (c,false) (c,false) (c,false) (c,false) -> (C,true) (C,false) (C,false) ,
0.00/0.40	  (B,false) (a,false) (a,false) (a,false) (a,false) ->= (c,false) (A,false) (A,false) (A,false) ,
0.00/0.40	  (A,false) (A,false) (A,false) (b,false) ->= (a,false) (a,false) (a,false) (a,false) (C,false) ,
0.00/0.40	  (C,false) (b,false) (b,false) (b,false) (b,false) ->= (a,false) (B,false) (B,false) (B,false) ,
0.00/0.40	  (B,false) (B,false) (B,false) (c,false) ->= (b,false) (b,false) (b,false) (b,false) (A,false) ,
0.00/0.40	  (A,false) (c,false) (c,false) (c,false) (c,false) ->= (b,false) (C,false) (C,false) (C,false) ,
0.00/0.40	  (C,false) (C,false) (C,false) (a,false) ->= (c,false) (c,false) (c,false) (c,false) (B,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	(B,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(a,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(b,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(B,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(c,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 7-rule system
0.00/0.40	{ (A,true) (c,false) (c,false) (c,false) (c,false) -> (C,true) (C,false) (C,false) ,
0.00/0.40	  (B,false) (a,false) (a,false) (a,false) (a,false) ->= (c,false) (A,false) (A,false) (A,false) ,
0.00/0.40	  (A,false) (A,false) (A,false) (b,false) ->= (a,false) (a,false) (a,false) (a,false) (C,false) ,
0.00/0.40	  (C,false) (b,false) (b,false) (b,false) (b,false) ->= (a,false) (B,false) (B,false) (B,false) ,
0.00/0.40	  (B,false) (B,false) (B,false) (c,false) ->= (b,false) (b,false) (b,false) (b,false) (A,false) ,
0.00/0.40	  (A,false) (c,false) (c,false) (c,false) (c,false) ->= (b,false) (C,false) (C,false) (C,false) ,
0.00/0.40	  (C,false) (C,false) (C,false) (a,false) ->= (c,false) (c,false) (c,false) (c,false) (B,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	(B,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(a,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(A,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(b,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,true) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(B,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(c,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	(C,false) is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 6-rule system
0.00/0.40	{ (B,false) (a,false) (a,false) (a,false) (a,false) ->= (c,false) (A,false) (A,false) (A,false) ,
0.00/0.40	  (A,false) (A,false) (A,false) (b,false) ->= (a,false) (a,false) (a,false) (a,false) (C,false) ,
0.00/0.40	  (C,false) (b,false) (b,false) (b,false) (b,false) ->= (a,false) (B,false) (B,false) (B,false) ,
0.00/0.40	  (B,false) (B,false) (B,false) (c,false) ->= (b,false) (b,false) (b,false) (b,false) (A,false) ,
0.00/0.40	  (A,false) (c,false) (c,false) (c,false) (c,false) ->= (b,false) (C,false) (C,false) (C,false) ,
0.00/0.40	  (C,false) (C,false) (C,false) (a,false) ->= (c,false) (c,false) (c,false) (c,false) (B,false) }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system is trivially terminating.
0.00/0.43	EOF