0.00/0.42	YES
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	d is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	n is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	o is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	u is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	t is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	c is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	f is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	g is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 14-rule system
0.00/0.44	{ d n -> d ,
0.00/0.44	  t u ->= t c d ,
0.00/0.44	  d f ->= f d ,
0.00/0.44	  d g ->= u g ,
0.00/0.44	  f u ->= u f ,
0.00/0.44	  n u ->= u ,
0.00/0.44	  f ->= f n ,
0.00/0.44	  t ->= t c n ,
0.00/0.44	  c n ->= n c ,
0.00/0.44	  c o ->= o c ,
0.00/0.44	  c o ->= o ,
0.00/0.44	  c f ->= f c ,
0.00/0.44	  c u ->= u c ,
0.00/0.44	  c d ->= d c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.44	
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	n is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	o is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	u is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	t is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	f is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	g is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	 \     /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 13-rule system
0.00/0.44	{ d n -> d ,
0.00/0.44	  t u ->= t c d ,
0.00/0.44	  d f ->= f d ,
0.00/0.44	  f u ->= u f ,
0.00/0.44	  n u ->= u ,
0.00/0.44	  f ->= f n ,
0.00/0.44	  t ->= t c n ,
0.00/0.44	  c n ->= n c ,
0.00/0.44	  c o ->= o c ,
0.00/0.44	  c o ->= o ,
0.00/0.44	  c f ->= f c ,
0.00/0.44	  c u ->= u c ,
0.00/0.44	  c d ->= d c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.44	
0.00/0.44	d is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	n is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	o is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	u is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 1 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	t is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	c is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	f is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	g is interpreted by
0.00/0.44	 /   \
0.00/0.44	| 1 0 |
0.00/0.44	| 0 1 |
0.00/0.44	 \   /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 12-rule system
0.00/0.44	{ d n -> d ,
0.00/0.44	  d f ->= f d ,
0.00/0.44	  f u ->= u f ,
0.00/0.44	  n u ->= u ,
0.00/0.44	  f ->= f n ,
0.00/0.44	  t ->= t c n ,
0.00/0.44	  c n ->= n c ,
0.00/0.44	  c o ->= o c ,
0.00/0.44	  c o ->= o ,
0.00/0.44	  c f ->= f c ,
0.00/0.44	  c u ->= u c ,
0.00/0.44	  c d ->= d c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.44	
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	n is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	o is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	u is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	t is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	f is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 1 |
0.00/0.44	 \     /
0.00/0.44	g is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 11-rule system
0.00/0.44	{ d n -> d ,
0.00/0.44	  f u ->= u f ,
0.00/0.44	  n u ->= u ,
0.00/0.44	  f ->= f n ,
0.00/0.44	  t ->= t c n ,
0.00/0.44	  c n ->= n c ,
0.00/0.44	  c o ->= o c ,
0.00/0.44	  c o ->= o ,
0.00/0.44	  c f ->= f c ,
0.00/0.44	  c u ->= u c ,
0.00/0.44	  c d ->= d c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system was filtered by the following matrix interpretation
0.00/0.44	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.44	
0.00/0.44	d is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 1 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	n is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 1 1 |
0.00/0.44	 \     /
0.00/0.44	o is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	u is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	t is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	c is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 1 |
0.00/0.44	 \     /
0.00/0.44	f is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	g is interpreted by
0.00/0.44	 /     \
0.00/0.44	| 1 0 0 |
0.00/0.44	| 0 1 0 |
0.00/0.44	| 0 0 0 |
0.00/0.44	 \     /
0.00/0.44	
0.00/0.44	Remains to prove termination of the 10-rule system
0.00/0.44	{ f u ->= u f ,
0.00/0.44	  n u ->= u ,
0.00/0.44	  f ->= f n ,
0.00/0.44	  t ->= t c n ,
0.00/0.44	  c n ->= n c ,
0.00/0.44	  c o ->= o c ,
0.00/0.44	  c o ->= o ,
0.00/0.44	  c f ->= f c ,
0.00/0.44	  c u ->= u c ,
0.00/0.44	  c d ->= d c }
0.00/0.44	
0.00/0.44	
0.00/0.44	The system is trivially terminating.
0.00/0.47	EOF