1.40/0.54	YES
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 2:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	u is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	c is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	d is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	f is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	g is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	n is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	o is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 1 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 14-rule system
1.40/0.55	{ t u -> t c d ,
1.40/0.55	  d f -> f d ,
1.40/0.55	  d g -> u g ,
1.40/0.55	  f u -> u f ,
1.40/0.55	  d n -> d ,
1.40/0.55	  n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 3:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	u is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	c is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	d is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	f is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	g is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	 \     /
1.40/0.55	n is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	o is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 13-rule system
1.40/0.55	{ t u -> t c d ,
1.40/0.55	  d f -> f d ,
1.40/0.55	  f u -> u f ,
1.40/0.55	  d n -> d ,
1.40/0.55	  n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 2:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	u is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 1 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	c is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	d is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	f is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	g is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	n is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	o is interpreted by
1.40/0.55	 /   \
1.40/0.55	| 1 0 |
1.40/0.55	| 0 1 |
1.40/0.55	 \   /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 12-rule system
1.40/0.55	{ d f -> f d ,
1.40/0.55	  f u -> u f ,
1.40/0.55	  d n -> d ,
1.40/0.55	  n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 3:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	u is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 1 1 |
1.40/0.55	 \     /
1.40/0.55	c is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	d is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	f is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	g is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	n is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	o is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 11-rule system
1.40/0.55	{ d f -> f d ,
1.40/0.55	  d n -> d ,
1.40/0.55	  n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 3:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	u is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	c is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	d is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 2 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	f is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	 \     /
1.40/0.55	g is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	n is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	o is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 10-rule system
1.40/0.55	{ d n -> d ,
1.40/0.55	  n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system was filtered by the following matrix interpretation
1.40/0.55	of type E_J with J = {1,...,2} and dimension 3:
1.40/0.55	
1.40/0.55	t is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	u is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	c is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 1 |
1.40/0.55	 \     /
1.40/0.55	d is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 1 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	f is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	g is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	n is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 1 1 |
1.40/0.55	 \     /
1.40/0.55	o is interpreted by
1.40/0.55	 /     \
1.40/0.55	| 1 0 0 |
1.40/0.55	| 0 1 0 |
1.40/0.55	| 0 0 0 |
1.40/0.55	 \     /
1.40/0.55	
1.40/0.55	Remains to prove termination of the 9-rule system
1.40/0.55	{ n u ->= u ,
1.40/0.55	  f ->= f n ,
1.40/0.55	  t ->= t c n ,
1.40/0.55	  c n ->= n c ,
1.40/0.55	  c o ->= o c ,
1.40/0.55	  c o ->= o ,
1.40/0.55	  c f ->= f c ,
1.40/0.55	  c u ->= u c ,
1.40/0.55	  c d ->= d c }
1.40/0.55	
1.40/0.55	
1.40/0.55	The system is trivially terminating.
1.40/0.58	EOF