0.00/0.39	YES
0.00/0.41	
0.00/0.41	
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.41	
0.00/0.41	a is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	b is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	C is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	c is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	A is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	B is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 6-rule system
0.00/0.41	{ B a a a -> c A A A ,
0.00/0.41	  A A A b -> a a a C ,
0.00/0.41	  C b b b -> a B B B ,
0.00/0.41	  B B B c -> b b b A ,
0.00/0.41	  A c c c -> b C C C ,
0.00/0.41	  C C C a -> c c c B }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was reversed.
0.00/0.41	
0.00/0.41	Remains to prove termination of the 6-rule system
0.00/0.41	{ a a a B -> A A A c ,
0.00/0.41	  b A A A -> C a a a ,
0.00/0.41	  b b b C -> B B B a ,
0.00/0.41	  c B B B -> A b b b ,
0.00/0.41	  c c c A -> C C C b ,
0.00/0.41	  a C C C -> B c c c }
0.00/0.41	
0.00/0.41	
0.00/0.41	The dependency pairs transformation was applied.
0.00/0.41	
0.00/0.41	Remains to prove termination of the 18-rule system
0.00/0.41	{ (a,true) (a,false) (a,false) (B,false) -> (c,true) ,
0.00/0.41	  (b,true) (A,false) (A,false) (A,false) -> (a,true) (a,false) (a,false) ,
0.00/0.41	  (b,true) (A,false) (A,false) (A,false) -> (a,true) (a,false) ,
0.00/0.41	  (b,true) (A,false) (A,false) (A,false) -> (a,true) ,
0.00/0.41	  (b,true) (b,false) (b,false) (C,false) -> (a,true) ,
0.00/0.41	  (c,true) (B,false) (B,false) (B,false) -> (b,true) (b,false) (b,false) ,
0.00/0.41	  (c,true) (B,false) (B,false) (B,false) -> (b,true) (b,false) ,
0.00/0.41	  (c,true) (B,false) (B,false) (B,false) -> (b,true) ,
0.00/0.41	  (c,true) (c,false) (c,false) (A,false) -> (b,true) ,
0.00/0.41	  (a,true) (C,false) (C,false) (C,false) -> (c,true) (c,false) (c,false) ,
0.00/0.41	  (a,true) (C,false) (C,false) (C,false) -> (c,true) (c,false) ,
0.00/0.41	  (a,true) (C,false) (C,false) (C,false) -> (c,true) ,
0.00/0.41	  (a,false) (a,false) (a,false) (B,false) ->= (A,false) (A,false) (A,false) (c,false) ,
0.00/0.41	  (b,false) (A,false) (A,false) (A,false) ->= (C,false) (a,false) (a,false) (a,false) ,
0.00/0.41	  (b,false) (b,false) (b,false) (C,false) ->= (B,false) (B,false) (B,false) (a,false) ,
0.00/0.41	  (c,false) (B,false) (B,false) (B,false) ->= (A,false) (b,false) (b,false) (b,false) ,
0.00/0.41	  (c,false) (c,false) (c,false) (A,false) ->= (C,false) (C,false) (C,false) (b,false) ,
0.00/0.41	  (a,false) (C,false) (C,false) (C,false) ->= (B,false) (c,false) (c,false) (c,false) }
0.00/0.41	
0.00/0.41	
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.41	
0.00/0.41	(a,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(a,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(B,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(c,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(b,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(A,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(b,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(C,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(c,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 7-rule system
0.00/0.41	{ (b,true) (A,false) (A,false) (A,false) -> (a,true) (a,false) (a,false) ,
0.00/0.41	  (a,false) (a,false) (a,false) (B,false) ->= (A,false) (A,false) (A,false) (c,false) ,
0.00/0.41	  (b,false) (A,false) (A,false) (A,false) ->= (C,false) (a,false) (a,false) (a,false) ,
0.00/0.41	  (b,false) (b,false) (b,false) (C,false) ->= (B,false) (B,false) (B,false) (a,false) ,
0.00/0.41	  (c,false) (B,false) (B,false) (B,false) ->= (A,false) (b,false) (b,false) (b,false) ,
0.00/0.41	  (c,false) (c,false) (c,false) (A,false) ->= (C,false) (C,false) (C,false) (b,false) ,
0.00/0.41	  (a,false) (C,false) (C,false) (C,false) ->= (B,false) (c,false) (c,false) (c,false) }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system was filtered by the following matrix interpretation
0.00/0.41	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.41	
0.00/0.41	(a,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(a,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(B,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(c,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(b,true) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 1 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(A,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(b,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(C,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	(c,false) is interpreted by
0.00/0.41	 /   \
0.00/0.41	| 1 0 |
0.00/0.41	| 0 1 |
0.00/0.41	 \   /
0.00/0.41	
0.00/0.41	Remains to prove termination of the 6-rule system
0.00/0.41	{ (a,false) (a,false) (a,false) (B,false) ->= (A,false) (A,false) (A,false) (c,false) ,
0.00/0.41	  (b,false) (A,false) (A,false) (A,false) ->= (C,false) (a,false) (a,false) (a,false) ,
0.00/0.41	  (b,false) (b,false) (b,false) (C,false) ->= (B,false) (B,false) (B,false) (a,false) ,
0.00/0.41	  (c,false) (B,false) (B,false) (B,false) ->= (A,false) (b,false) (b,false) (b,false) ,
0.00/0.41	  (c,false) (c,false) (c,false) (A,false) ->= (C,false) (C,false) (C,false) (b,false) ,
0.00/0.41	  (a,false) (C,false) (C,false) (C,false) ->= (B,false) (c,false) (c,false) (c,false) }
0.00/0.41	
0.00/0.41	
0.00/0.41	The system is trivially terminating.
0.00/0.46	EOF