2.27/0.77	YES
2.27/0.81	
2.27/0.81	
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 2:
2.27/0.81	
2.27/0.81	b is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	d is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	c is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	a is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 6-rule system
2.27/0.81	{ b d b -> c d b ,
2.27/0.81	  a d -> d c ,
2.27/0.81	  b b b -> a b c ,
2.27/0.81	  d c -> b d ,
2.27/0.81	  d c -> d b d ,
2.27/0.81	  d a c -> b b }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was reversed.
2.27/0.81	
2.27/0.81	Remains to prove termination of the 6-rule system
2.27/0.81	{ b d b -> b d c ,
2.27/0.81	  d a -> c d ,
2.27/0.81	  b b b -> c b a ,
2.27/0.81	  c d -> d b ,
2.27/0.81	  c d -> d b d ,
2.27/0.81	  c a d -> b b }
2.27/0.81	
2.27/0.81	
2.27/0.81	The dependency pairs transformation was applied.
2.27/0.81	
2.27/0.81	Remains to prove termination of the 20-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (d,false) (b,false) -> (d,true) (c,false) ,
2.27/0.81	  (b,true) (d,false) (b,false) -> (c,true) ,
2.27/0.81	  (d,true) (a,false) -> (c,true) (d,false) ,
2.27/0.81	  (d,true) (a,false) -> (d,true) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (b,true) (a,false) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) (d,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) (d,false) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (d,false) (a,false) ->= (c,false) (d,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 2:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 14-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (d,true) (a,false) -> (c,true) (d,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) (d,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) (d,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (d,false) (a,false) ->= (c,false) (d,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 3:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 1 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	 \     /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 13-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) ,
2.27/0.81	  (c,true) (d,false) -> (d,true) (b,false) (d,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) (d,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (d,false) (a,false) ->= (c,false) (d,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 2:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 11-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) (d,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (d,false) (a,false) ->= (c,false) (d,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 3:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 1 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 1 1 |
2.27/0.81	 \     /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 10-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) ,
2.27/0.81	  (c,true) (d,false) -> (b,true) (d,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 3:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	 \     /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 1 |
2.27/0.81	 \     /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 1 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /     \
2.27/0.81	| 1 0 0 |
2.27/0.81	| 0 1 0 |
2.27/0.81	| 0 0 0 |
2.27/0.81	 \     /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 8-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (c,true) (a,false) (d,false) -> (b,true) (b,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 4:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	 \       /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 1 |
2.27/0.81	 \       /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 1 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 1 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 7-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,true) (b,false) (b,false) -> (c,true) (b,false) (a,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 2:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 1 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /   \
2.27/0.81	| 1 0 |
2.27/0.81	| 0 1 |
2.27/0.81	 \   /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 6-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) ,
2.27/0.81	  (c,false) (a,false) (d,false) ->= (b,false) (b,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 7:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 0 0 1 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 1 0 0 1 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 1 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 1 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 0 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 1 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 1 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 1 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 1 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 0 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 0 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /             \
2.27/0.81	| 1 0 0 0 0 0 0 |
2.27/0.81	| 0 1 0 0 0 0 0 |
2.27/0.81	| 0 0 0 1 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	| 0 0 0 0 0 0 0 |
2.27/0.81	 \             /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 5-rule system
2.27/0.81	{ (b,true) (d,false) (b,false) -> (b,true) (d,false) (c,false) ,
2.27/0.81	  (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system was filtered by the following matrix interpretation
2.27/0.81	of type E_J with J = {1,...,2} and dimension 4:
2.27/0.81	
2.27/0.81	(b,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 1 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(d,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 1 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(b,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	 \       /
2.27/0.81	(c,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(d,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(c,true) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	(a,false) is interpreted by
2.27/0.81	 /       \
2.27/0.81	| 1 0 0 0 |
2.27/0.81	| 0 1 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	| 0 0 0 0 |
2.27/0.81	 \       /
2.27/0.81	
2.27/0.81	Remains to prove termination of the 4-rule system
2.27/0.81	{ (b,false) (d,false) (b,false) ->= (b,false) (d,false) (c,false) ,
2.27/0.81	  (b,false) (b,false) (b,false) ->= (c,false) (b,false) (a,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) ,
2.27/0.81	  (c,false) (d,false) ->= (d,false) (b,false) (d,false) }
2.27/0.81	
2.27/0.81	
2.27/0.81	The system is trivially terminating.
2.27/0.83	EOF