0.00/0.37	YES
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	o is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	l is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	r is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	n is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	L is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	R is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 6-rule system
0.00/0.39	{ n l o -> r o ,
0.00/0.39	  L l o -> L r o ,
0.00/0.39	  o r n -> o l ,
0.00/0.39	  o r R -> o l R ,
0.00/0.39	  L ->= L n ,
0.00/0.39	  R ->= n R }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.39	
0.00/0.39	o is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	 \       /
0.00/0.39	l is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 1 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	r is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	n is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	L is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 1 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	R is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 5-rule system
0.00/0.39	{ n l o -> r o ,
0.00/0.39	  o r n -> o l ,
0.00/0.39	  o r R -> o l R ,
0.00/0.39	  L ->= L n ,
0.00/0.39	  R ->= n R }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.39	
0.00/0.39	o is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 1 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	l is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	r is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 1 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	n is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	L is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	R is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	 \       /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 4-rule system
0.00/0.39	{ n l o -> r o ,
0.00/0.39	  o r n -> o l ,
0.00/0.39	  L ->= L n ,
0.00/0.39	  R ->= n R }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.39	
0.00/0.39	o is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	 \       /
0.00/0.39	l is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 1 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	r is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	n is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 1 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	L is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 1 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	R is interpreted by
0.00/0.39	 /       \
0.00/0.39	| 1 0 0 0 |
0.00/0.39	| 0 1 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	| 0 0 0 0 |
0.00/0.39	 \       /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 3-rule system
0.00/0.39	{ o r n -> o l ,
0.00/0.39	  L ->= L n ,
0.00/0.39	  R ->= n R }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system was filtered by the following matrix interpretation
0.00/0.39	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.39	
0.00/0.39	o is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	l is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	r is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 1 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	n is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	L is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	R is interpreted by
0.00/0.39	 /   \
0.00/0.39	| 1 0 |
0.00/0.39	| 0 1 |
0.00/0.39	 \   /
0.00/0.39	
0.00/0.39	Remains to prove termination of the 2-rule system
0.00/0.39	{ L ->= L n ,
0.00/0.39	  R ->= n R }
0.00/0.39	
0.00/0.39	
0.00/0.39	The system is trivially terminating.
0.00/0.42	EOF