0.00/0.46	YES
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	c is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 2 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	a is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	d is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 3 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	b is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 4-rule system
0.00/0.48	{ c c c a -> d d ,
0.00/0.48	  d b -> c c ,
0.00/0.48	  b c -> b a c ,
0.00/0.48	  d -> b c }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was reversed.
0.00/0.48	
0.00/0.48	Remains to prove termination of the 4-rule system
0.00/0.48	{ a c c c -> d d ,
0.00/0.48	  b d -> c c ,
0.00/0.48	  c b -> c a b ,
0.00/0.48	  d -> c b }
0.00/0.48	
0.00/0.48	
0.00/0.48	The dependency pairs transformation was applied.
0.00/0.48	
0.00/0.48	Remains to prove termination of the 13-rule system
0.00/0.48	{ (a,true) (c,false) (c,false) (c,false) -> (d,true) (d,false) ,
0.00/0.48	  (a,true) (c,false) (c,false) (c,false) -> (d,true) ,
0.00/0.48	  (b,true) (d,false) -> (c,true) (c,false) ,
0.00/0.48	  (b,true) (d,false) -> (c,true) ,
0.00/0.48	  (c,true) (b,false) -> (c,true) (a,false) (b,false) ,
0.00/0.48	  (c,true) (b,false) -> (a,true) (b,false) ,
0.00/0.48	  (c,true) (b,false) -> (b,true) ,
0.00/0.48	  (d,true) -> (c,true) (b,false) ,
0.00/0.48	  (d,true) -> (b,true) ,
0.00/0.48	  (a,false) (c,false) (c,false) (c,false) ->= (d,false) (d,false) ,
0.00/0.48	  (b,false) (d,false) ->= (c,false) (c,false) ,
0.00/0.48	  (c,false) (b,false) ->= (c,false) (a,false) (b,false) ,
0.00/0.48	  (d,false) ->= (c,false) (b,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 2 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 3 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 3 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 7-rule system
0.00/0.48	{ (a,true) (c,false) (c,false) (c,false) -> (d,true) (d,false) ,
0.00/0.48	  (c,true) (b,false) -> (c,true) (a,false) (b,false) ,
0.00/0.48	  (c,true) (b,false) -> (a,true) (b,false) ,
0.00/0.48	  (a,false) (c,false) (c,false) (c,false) ->= (d,false) (d,false) ,
0.00/0.48	  (b,false) (d,false) ->= (c,false) (c,false) ,
0.00/0.48	  (c,false) (b,false) ->= (c,false) (a,false) (b,false) ,
0.00/0.48	  (d,false) ->= (c,false) (b,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 6-rule system
0.00/0.48	{ (a,true) (c,false) (c,false) (c,false) -> (d,true) (d,false) ,
0.00/0.48	  (c,true) (b,false) -> (c,true) (a,false) (b,false) ,
0.00/0.48	  (a,false) (c,false) (c,false) (c,false) ->= (d,false) (d,false) ,
0.00/0.48	  (b,false) (d,false) ->= (c,false) (c,false) ,
0.00/0.48	  (c,false) (b,false) ->= (c,false) (a,false) (b,false) ,
0.00/0.48	  (d,false) ->= (c,false) (b,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 1 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(d,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /   \
0.00/0.48	| 1 0 |
0.00/0.48	| 0 1 |
0.00/0.48	 \   /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 5-rule system
0.00/0.48	{ (c,true) (b,false) -> (c,true) (a,false) (b,false) ,
0.00/0.48	  (a,false) (c,false) (c,false) (c,false) ->= (d,false) (d,false) ,
0.00/0.48	  (b,false) (d,false) ->= (c,false) (c,false) ,
0.00/0.48	  (c,false) (b,false) ->= (c,false) (a,false) (b,false) ,
0.00/0.48	  (d,false) ->= (c,false) (b,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system was filtered by the following matrix interpretation
0.00/0.48	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.48	
0.00/0.48	(a,true) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(c,false) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(d,true) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(d,false) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(b,true) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(c,true) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 1 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	(b,false) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	 \     /
0.00/0.48	(a,false) is interpreted by
0.00/0.48	 /     \
0.00/0.48	| 1 0 0 |
0.00/0.48	| 0 1 0 |
0.00/0.48	| 0 0 0 |
0.00/0.48	 \     /
0.00/0.48	
0.00/0.48	Remains to prove termination of the 4-rule system
0.00/0.48	{ (a,false) (c,false) (c,false) (c,false) ->= (d,false) (d,false) ,
0.00/0.48	  (b,false) (d,false) ->= (c,false) (c,false) ,
0.00/0.48	  (c,false) (b,false) ->= (c,false) (a,false) (b,false) ,
0.00/0.48	  (d,false) ->= (c,false) (b,false) }
0.00/0.48	
0.00/0.48	
0.00/0.48	The system is trivially terminating.
0.00/0.50	EOF