1.42/0.57	YES
1.42/0.60	
1.42/0.60	
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	r is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	s is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	n is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	b is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	u is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	t is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	c is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 13-rule system
1.42/0.60	{ r r -> s r ,
1.42/0.60	  r s -> s r ,
1.42/0.60	  r b -> u s b ,
1.42/0.60	  r u -> u r ,
1.42/0.60	  s u -> u s ,
1.42/0.60	  n u -> u n ,
1.42/0.60	  t r u -> t c r ,
1.42/0.60	  t s u -> t c r ,
1.42/0.60	  c u -> u c ,
1.42/0.60	  c s -> s c ,
1.42/0.60	  c r -> r c ,
1.42/0.60	  c n -> n c ,
1.42/0.60	  c n -> n }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	r is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	s is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	n is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	b is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	u is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	t is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	c is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 11-rule system
1.42/0.60	{ r s -> s r ,
1.42/0.60	  r b -> u s b ,
1.42/0.60	  r u -> u r ,
1.42/0.60	  s u -> u s ,
1.42/0.60	  n u -> u n ,
1.42/0.60	  t s u -> t c r ,
1.42/0.60	  c u -> u c ,
1.42/0.60	  c s -> s c ,
1.42/0.60	  c r -> r c ,
1.42/0.60	  c n -> n c ,
1.42/0.60	  c n -> n }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was reversed.
1.42/0.60	
1.42/0.60	Remains to prove termination of the 11-rule system
1.42/0.60	{ s r -> r s ,
1.42/0.60	  b r -> b s u ,
1.42/0.60	  u r -> r u ,
1.42/0.60	  u s -> s u ,
1.42/0.60	  u n -> n u ,
1.42/0.60	  u s t -> r c t ,
1.42/0.60	  u c -> c u ,
1.42/0.60	  s c -> c s ,
1.42/0.60	  r c -> c r ,
1.42/0.60	  n c -> c n ,
1.42/0.60	  n c -> n }
1.42/0.60	
1.42/0.60	
1.42/0.60	The dependency pairs transformation was applied.
1.42/0.60	
1.42/0.60	Remains to prove termination of the 27-rule system
1.42/0.60	{ (s,true) (r,false) -> (r,true) (s,false) ,
1.42/0.60	  (s,true) (r,false) -> (s,true) ,
1.42/0.60	  (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (b,true) (r,false) -> (s,true) (u,false) ,
1.42/0.60	  (b,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (r,false) -> (r,true) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) -> (s,true) (u,false) ,
1.42/0.60	  (u,true) (s,false) -> (u,true) ,
1.42/0.60	  (u,true) (n,false) -> (n,true) (u,false) ,
1.42/0.60	  (u,true) (n,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) (t,false) -> (r,true) (c,false) (t,false) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 25-rule system
1.42/0.60	{ (s,true) (r,false) -> (r,true) (s,false) ,
1.42/0.60	  (s,true) (r,false) -> (s,true) ,
1.42/0.60	  (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (r,true) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) -> (s,true) (u,false) ,
1.42/0.60	  (u,true) (s,false) -> (u,true) ,
1.42/0.60	  (u,true) (n,false) -> (n,true) (u,false) ,
1.42/0.60	  (u,true) (n,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) (t,false) -> (r,true) (c,false) (t,false) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 21-rule system
1.42/0.60	{ (s,true) (r,false) -> (r,true) (s,false) ,
1.42/0.60	  (s,true) (r,false) -> (s,true) ,
1.42/0.60	  (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) -> (u,true) ,
1.42/0.60	  (u,true) (n,false) -> (u,true) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 20-rule system
1.42/0.60	{ (s,true) (r,false) -> (s,true) ,
1.42/0.60	  (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) -> (u,true) ,
1.42/0.60	  (u,true) (n,false) -> (u,true) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 19-rule system
1.42/0.60	{ (s,true) (r,false) -> (s,true) ,
1.42/0.60	  (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (u,true) (r,false) -> (u,true) ,
1.42/0.60	  (u,true) (s,false) -> (u,true) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 16-rule system
1.42/0.60	{ (b,true) (r,false) -> (b,true) (s,false) (u,false) ,
1.42/0.60	  (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 3:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 1 1 |
1.42/0.60	 \     /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 1 |
1.42/0.60	 \     /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 1 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 1 |
1.42/0.60	 \     /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	 \     /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 15-rule system
1.42/0.60	{ (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (b,false) (r,false) ->= (b,false) (s,false) (u,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 3:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 1 1 |
1.42/0.60	 \     /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 1 |
1.42/0.60	 \     /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 1 |
1.42/0.60	 \     /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	 \     /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 0 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /     \
1.42/0.60	| 1 0 1 |
1.42/0.60	| 0 1 0 |
1.42/0.60	| 0 0 0 |
1.42/0.60	 \     /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 14-rule system
1.42/0.60	{ (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) (t,false) ->= (r,false) (c,false) (t,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 13-rule system
1.42/0.60	{ (u,true) (c,false) -> (u,true) ,
1.42/0.60	  (s,true) (c,false) -> (s,true) ,
1.42/0.60	  (r,true) (c,false) -> (r,true) ,
1.42/0.60	  (n,true) (c,false) -> (n,true) ,
1.42/0.60	  (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) ,
1.42/0.60	  (n,false) (c,false) ->= (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system was filtered by the following matrix interpretation
1.42/0.60	of type E_J with J = {1,...,2} and dimension 2:
1.42/0.60	
1.42/0.60	(s,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(r,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(s,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(u,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(n,true) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(t,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(c,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 1 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	(b,false) is interpreted by
1.42/0.60	 /   \
1.42/0.60	| 1 0 |
1.42/0.60	| 0 1 |
1.42/0.60	 \   /
1.42/0.60	
1.42/0.60	Remains to prove termination of the 8-rule system
1.42/0.60	{ (s,false) (r,false) ->= (r,false) (s,false) ,
1.42/0.60	  (u,false) (r,false) ->= (r,false) (u,false) ,
1.42/0.60	  (u,false) (s,false) ->= (s,false) (u,false) ,
1.42/0.60	  (u,false) (n,false) ->= (n,false) (u,false) ,
1.42/0.60	  (u,false) (c,false) ->= (c,false) (u,false) ,
1.42/0.60	  (s,false) (c,false) ->= (c,false) (s,false) ,
1.42/0.60	  (r,false) (c,false) ->= (c,false) (r,false) ,
1.42/0.60	  (n,false) (c,false) ->= (c,false) (n,false) }
1.42/0.60	
1.42/0.60	
1.42/0.60	The system is trivially terminating.
1.68/0.64	EOF