0.00/0.33	YES
0.00/0.35	
0.00/0.35	
0.00/0.35	The system was filtered by the following matrix interpretation
0.00/0.35	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.35	
0.00/0.35	n is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	s is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	o is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 1 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	p is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	t is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	c is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	m is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	
0.00/0.35	Remains to prove termination of the 14-rule system
0.00/0.35	{ n s -> s ,
0.00/0.35	  n o p -> o n ,
0.00/0.35	  t ->= t c n ,
0.00/0.35	  p s ->= s ,
0.00/0.35	  o n ->= n o ,
0.00/0.35	  p n ->= m p ,
0.00/0.35	  p m ->= m p ,
0.00/0.35	  o m ->= n o ,
0.00/0.35	  n p ->= p n ,
0.00/0.35	  c p ->= p c ,
0.00/0.35	  c m ->= m c ,
0.00/0.35	  c n ->= n c ,
0.00/0.35	  c o ->= o c ,
0.00/0.35	  c o ->= o }
0.00/0.35	
0.00/0.35	
0.00/0.35	The system was filtered by the following matrix interpretation
0.00/0.35	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.35	
0.00/0.35	n is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	s is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	o is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	p is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 1 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	t is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	c is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	m is interpreted by
0.00/0.35	 /   \
0.00/0.35	| 1 0 |
0.00/0.35	| 0 1 |
0.00/0.35	 \   /
0.00/0.35	
0.00/0.35	Remains to prove termination of the 12-rule system
0.00/0.35	{ n s -> s ,
0.00/0.35	  t ->= t c n ,
0.00/0.35	  o n ->= n o ,
0.00/0.35	  p n ->= m p ,
0.00/0.35	  p m ->= m p ,
0.00/0.35	  o m ->= n o ,
0.00/0.35	  n p ->= p n ,
0.00/0.35	  c p ->= p c ,
0.00/0.35	  c m ->= m c ,
0.00/0.35	  c n ->= n c ,
0.00/0.35	  c o ->= o c ,
0.00/0.35	  c o ->= o }
0.00/0.35	
0.00/0.35	
0.00/0.35	The system was filtered by the following matrix interpretation
0.00/0.35	of type E_J with J = {1,...,2} and dimension 3:
0.00/0.35	
0.00/0.35	n is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 1 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 1 |
0.00/0.35	 \     /
0.00/0.35	s is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	 \     /
0.00/0.35	o is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 0 |
0.00/0.35	 \     /
0.00/0.35	p is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 1 |
0.00/0.35	 \     /
0.00/0.35	t is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 1 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 0 |
0.00/0.35	 \     /
0.00/0.35	c is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 0 |
0.00/0.35	 \     /
0.00/0.35	m is interpreted by
0.00/0.35	 /     \
0.00/0.35	| 1 0 0 |
0.00/0.35	| 0 1 0 |
0.00/0.35	| 0 0 0 |
0.00/0.35	 \     /
0.00/0.35	
0.00/0.35	Remains to prove termination of the 11-rule system
0.00/0.35	{ t ->= t c n ,
0.00/0.35	  o n ->= n o ,
0.00/0.35	  p n ->= m p ,
0.00/0.35	  p m ->= m p ,
0.00/0.35	  o m ->= n o ,
0.00/0.35	  n p ->= p n ,
0.00/0.35	  c p ->= p c ,
0.00/0.35	  c m ->= m c ,
0.00/0.35	  c n ->= n c ,
0.00/0.35	  c o ->= o c ,
0.00/0.35	  c o ->= o }
0.00/0.35	
0.00/0.35	
0.00/0.35	The system is trivially terminating.
0.00/0.36	EOF