7.03/2.01	YES
7.15/2.06	
7.15/2.06	
7.15/2.06	
7.15/2.06	
7.15/2.06	The system was filtered by the following matrix interpretation
7.15/2.06	of type E_J with J = {1,...,2} and dimension 2:
7.15/2.06	
7.15/2.06	a is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	b is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	c is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	d is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	e is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 1 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	f is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	
7.15/2.06	Remains to prove termination of the 8-rule system
7.15/2.06	{ a b -> b c a ,
7.15/2.06	  b c -> c b b ,
7.15/2.06	  a c -> c a b ,
7.15/2.06	  a a -> a d d d ,
7.15/2.06	  d a -> d d c ,
7.15/2.06	  a d d c -> a a a d ,
7.15/2.06	  e e f f -> f f f e e ,
7.15/2.06	  b d -> d d }
7.15/2.06	
7.15/2.06	
7.15/2.06	The system was reversed.
7.15/2.06	
7.15/2.06	Remains to prove termination of the 8-rule system
7.15/2.06	{ b a -> a c b ,
7.15/2.06	  c b -> b b c ,
7.15/2.06	  c a -> b a c ,
7.15/2.06	  a a -> d d d a ,
7.15/2.06	  a d -> c d d ,
7.15/2.06	  c d d a -> d a a a ,
7.15/2.06	  f f e e -> e e f f f ,
7.15/2.06	  d b -> d d }
7.15/2.06	
7.15/2.06	
7.15/2.06	The dependency pairs transformation was applied.
7.15/2.06	
7.15/2.06	Remains to prove termination of the 33-rule system
7.15/2.06	{ (b,true) (a,false) -> (a,true) (c,false) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (c,true) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (b,true) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (c,true) ,
7.15/2.06	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (a,true) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (c,true) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (d,false) (d,false) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (d,false) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (a,true) ,
7.15/2.06	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.06	  (a,true) (d,false) -> (d,true) (d,false) ,
7.15/2.06	  (a,true) (d,false) -> (d,true) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (d,true) (a,false) (a,false) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.06	  (f,true) (f,false) (e,false) (e,false) -> (f,true) (f,false) (f,false) ,
7.15/2.06	  (f,true) (f,false) (e,false) (e,false) -> (f,true) (f,false) ,
7.15/2.06	  (f,true) (f,false) (e,false) (e,false) -> (f,true) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) (d,false) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) ,
7.15/2.06	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.06	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.06	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.06	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.06	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.06	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.06	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.06	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.06	
7.15/2.06	
7.15/2.06	
7.15/2.06	
7.15/2.06	The system was filtered by the following matrix interpretation
7.15/2.06	of type E_J with J = {1,...,2} and dimension 2:
7.15/2.06	
7.15/2.06	(b,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(a,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(a,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(c,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(b,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(c,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(d,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(d,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(f,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(f,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(e,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 1 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	
7.15/2.06	Remains to prove termination of the 30-rule system
7.15/2.06	{ (b,true) (a,false) -> (a,true) (c,false) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (c,true) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (b,true) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (c,true) ,
7.15/2.06	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (a,true) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (c,true) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (d,false) (d,false) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (d,false) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (d,true) (a,false) ,
7.15/2.06	  (a,true) (a,false) -> (a,true) ,
7.15/2.06	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.06	  (a,true) (d,false) -> (d,true) (d,false) ,
7.15/2.06	  (a,true) (d,false) -> (d,true) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (d,true) (a,false) (a,false) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) (d,false) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) ,
7.15/2.06	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.06	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.06	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.06	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.06	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.06	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.06	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.06	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.06	
7.15/2.06	
7.15/2.06	The system was filtered by the following matrix interpretation
7.15/2.06	of type E_J with J = {1,...,2} and dimension 2:
7.15/2.06	
7.15/2.06	(b,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 1 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(a,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(a,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 1 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(c,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(b,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(c,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 1 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(d,true) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(d,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(f,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	(e,false) is interpreted by
7.15/2.06	 /   \
7.15/2.06	| 1 0 |
7.15/2.06	| 0 1 |
7.15/2.06	 \   /
7.15/2.06	
7.15/2.06	Remains to prove termination of the 24-rule system
7.15/2.06	{ (b,true) (a,false) -> (a,true) (c,false) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (c,true) (b,false) ,
7.15/2.06	  (b,true) (a,false) -> (b,true) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (b,true) (c,false) ,
7.15/2.06	  (c,true) (b,false) -> (c,true) ,
7.15/2.06	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (a,true) (c,false) ,
7.15/2.06	  (c,true) (a,false) -> (c,true) ,
7.15/2.06	  (a,true) (a,false) -> (a,true) ,
7.15/2.06	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.06	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) (d,false) ,
7.15/2.06	  (d,true) (b,false) -> (d,true) ,
7.15/2.06	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.06	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.06	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.06	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.06	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.06	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.06	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.06	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.06	
7.15/2.06	
7.15/2.06	The system was filtered by the following matrix interpretation
7.15/2.06	of type E_J with J = {1,...,2} and dimension 3:
7.15/2.06	
7.15/2.06	(b,true) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(a,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	 \     /
7.15/2.06	(a,true) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(c,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 2 |
7.15/2.06	 \     /
7.15/2.06	(b,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 1 1 |
7.15/2.06	 \     /
7.15/2.06	(c,true) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(d,true) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 1 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(d,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(f,true) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(f,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.06	 \     /
7.15/2.06	(e,false) is interpreted by
7.15/2.06	 /     \
7.15/2.06	| 1 0 0 |
7.15/2.06	| 0 1 0 |
7.15/2.06	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 22-rule system
7.15/2.07	{ (b,true) (a,false) -> (a,true) (c,false) (b,false) ,
7.15/2.07	  (b,true) (a,false) -> (c,true) (b,false) ,
7.15/2.07	  (b,true) (a,false) -> (b,true) ,
7.15/2.07	  (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
7.15/2.07	  (c,true) (b,false) -> (b,true) (c,false) ,
7.15/2.07	  (c,true) (b,false) -> (c,true) ,
7.15/2.07	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
7.15/2.07	  (c,true) (a,false) -> (a,true) (c,false) ,
7.15/2.07	  (c,true) (a,false) -> (c,true) ,
7.15/2.07	  (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.07	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.07	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 3:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 1 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 1 1 |
7.15/2.07	 \     /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 1 |
7.15/2.07	 \     /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 1 |
7.15/2.07	 \     /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 1 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 17-rule system
7.15/2.07	{ (c,true) (b,false) -> (b,true) (b,false) (c,false) ,
7.15/2.07	  (c,true) (b,false) -> (b,true) (c,false) ,
7.15/2.07	  (c,true) (b,false) -> (c,true) ,
7.15/2.07	  (c,true) (a,false) -> (b,true) (a,false) (c,false) ,
7.15/2.07	  (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.07	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.07	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 2:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 1 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 1 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 14-rule system
7.15/2.07	{ (c,true) (b,false) -> (c,true) ,
7.15/2.07	  (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.07	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.07	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 3:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	 \     /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 2 |
7.15/2.07	 \     /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 1 1 |
7.15/2.07	 \     /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 1 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 13-rule system
7.15/2.07	{ (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.07	  (f,false) (f,false) (e,false) (e,false) ->= (e,false) (e,false) (f,false) (f,false) (f,false) ,
7.15/2.07	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 5:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 1 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 1 0 |
7.15/2.07	| 0 0 1 0 0 |
7.15/2.07	| 0 0 1 0 0 |
7.15/2.07	 \         /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 2 |
7.15/2.07	| 0 1 1 1 0 |
7.15/2.07	 \         /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 12-rule system
7.15/2.07	{ (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) ,
7.15/2.07	  (d,false) (b,false) ->= (d,false) (d,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 4:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	 \       /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 2 1 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	 \       /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 1 1 0 |
7.15/2.07	| 0 0 0 1 |
7.15/2.07	 \       /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 1 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /       \
7.15/2.07	| 1 0 0 0 |
7.15/2.07	| 0 1 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	| 0 0 0 0 |
7.15/2.07	 \       /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 11-rule system
7.15/2.07	{ (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) (a,false) ,
7.15/2.07	  (c,true) (d,false) (d,false) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 5:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 1 0 |
7.15/2.07	| 0 0 0 1 0 |
7.15/2.07	| 0 1 0 1 0 |
7.15/2.07	 \         /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 1 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 1 0 0 |
7.15/2.07	| 0 0 1 0 0 |
7.15/2.07	| 0 0 0 0 1 |
7.15/2.07	 \         /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 1 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 1 0 |
7.15/2.07	| 0 0 0 0 1 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /         \
7.15/2.07	| 1 0 0 0 0 |
7.15/2.07	| 0 1 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	| 0 0 0 0 0 |
7.15/2.07	 \         /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 8-rule system
7.15/2.07	{ (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (a,true) (d,false) -> (c,true) (d,false) (d,false) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 2:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 1 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /   \
7.15/2.07	| 1 0 |
7.15/2.07	| 0 1 |
7.15/2.07	 \   /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 7-rule system
7.15/2.07	{ (a,true) (a,false) -> (a,true) ,
7.15/2.07	  (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system was filtered by the following matrix interpretation
7.15/2.07	of type E_J with J = {1,...,2} and dimension 3:
7.15/2.07	
7.15/2.07	(b,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(a,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 1 1 |
7.15/2.07	 \     /
7.15/2.07	(a,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 1 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(c,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 1 |
7.15/2.07	 \     /
7.15/2.07	(b,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 1 |
7.15/2.07	 \     /
7.15/2.07	(c,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(d,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,true) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(f,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	(e,false) is interpreted by
7.15/2.07	 /     \
7.15/2.07	| 1 0 0 |
7.15/2.07	| 0 1 0 |
7.15/2.07	| 0 0 0 |
7.15/2.07	 \     /
7.15/2.07	
7.15/2.07	Remains to prove termination of the 6-rule system
7.15/2.07	{ (b,false) (a,false) ->= (a,false) (c,false) (b,false) ,
7.15/2.07	  (c,false) (b,false) ->= (b,false) (b,false) (c,false) ,
7.15/2.07	  (c,false) (a,false) ->= (b,false) (a,false) (c,false) ,
7.15/2.07	  (a,false) (a,false) ->= (d,false) (d,false) (d,false) (a,false) ,
7.15/2.07	  (a,false) (d,false) ->= (c,false) (d,false) (d,false) ,
7.15/2.07	  (c,false) (d,false) (d,false) (a,false) ->= (d,false) (a,false) (a,false) (a,false) }
7.15/2.07	
7.15/2.07	
7.15/2.07	The system is trivially terminating.
7.42/2.12	EOF