3.81/1.32	YES
4.28/1.34	
4.28/1.34	
4.28/1.34	The system was filtered by the following matrix interpretation
4.28/1.34	of type E_J with J = {1,...,2} and dimension 4:
4.28/1.34	
4.28/1.34	a is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 1 1 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 1 |
4.28/1.34	| 0 0 1 0 |
4.28/1.34	 \       /
4.28/1.34	l is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 0 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 1 |
4.28/1.34	| 0 0 1 0 |
4.28/1.34	 \       /
4.28/1.34	r is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 1 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	| 0 0 1 0 |
4.28/1.34	 \       /
4.28/1.34	b is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 0 2 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	 \       /
4.28/1.34	
4.28/1.34	Remains to prove termination of the 3-rule system
4.28/1.34	{ a l -> l a ,
4.28/1.34	  r a a -> a a r ,
4.28/1.34	  b l -> b a r }
4.28/1.34	
4.28/1.34	
4.28/1.34	The system was filtered by the following matrix interpretation
4.28/1.34	of type E_J with J = {1,...,2} and dimension 2:
4.28/1.34	
4.28/1.34	a is interpreted by
4.28/1.34	 /   \
4.28/1.34	| 1 0 |
4.28/1.34	| 0 1 |
4.28/1.34	 \   /
4.28/1.34	l is interpreted by
4.28/1.34	 /   \
4.28/1.34	| 1 1 |
4.28/1.34	| 0 1 |
4.28/1.34	 \   /
4.28/1.34	r is interpreted by
4.28/1.34	 /   \
4.28/1.34	| 1 0 |
4.28/1.34	| 0 1 |
4.28/1.34	 \   /
4.28/1.34	b is interpreted by
4.28/1.34	 /   \
4.28/1.34	| 1 0 |
4.28/1.34	| 0 1 |
4.28/1.34	 \   /
4.28/1.34	
4.28/1.34	Remains to prove termination of the 2-rule system
4.28/1.34	{ a l -> l a ,
4.28/1.34	  r a a -> a a r }
4.28/1.34	
4.28/1.34	
4.28/1.34	The system was filtered by the following matrix interpretation
4.28/1.34	of type E_J with J = {1,...,2} and dimension 3:
4.28/1.34	
4.28/1.34	a is interpreted by
4.28/1.34	 /     \
4.28/1.34	| 1 0 1 |
4.28/1.34	| 0 1 0 |
4.28/1.34	| 0 0 1 |
4.28/1.34	 \     /
4.28/1.34	l is interpreted by
4.28/1.34	 /     \
4.28/1.34	| 1 0 0 |
4.28/1.34	| 0 1 0 |
4.28/1.34	| 0 1 1 |
4.28/1.34	 \     /
4.28/1.34	r is interpreted by
4.28/1.34	 /     \
4.28/1.34	| 1 0 0 |
4.28/1.34	| 0 1 0 |
4.28/1.34	| 0 0 0 |
4.28/1.34	 \     /
4.28/1.34	b is interpreted by
4.28/1.34	 /     \
4.28/1.34	| 1 0 0 |
4.28/1.34	| 0 1 0 |
4.28/1.34	| 0 0 0 |
4.28/1.34	 \     /
4.28/1.34	
4.28/1.34	Remains to prove termination of the 1-rule system
4.28/1.34	{ r a a -> a a r }
4.28/1.34	
4.28/1.34	
4.28/1.34	The system was filtered by the following matrix interpretation
4.28/1.34	of type E_J with J = {1,...,2} and dimension 4:
4.28/1.34	
4.28/1.34	a is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 1 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 1 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	 \       /
4.28/1.34	l is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 0 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	 \       /
4.28/1.34	r is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 2 0 1 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 1 |
4.28/1.34	| 0 0 1 0 |
4.28/1.34	 \       /
4.28/1.34	b is interpreted by
4.28/1.34	 /       \
4.28/1.34	| 1 0 0 0 |
4.28/1.34	| 0 1 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	| 0 0 0 0 |
4.28/1.34	 \       /
4.28/1.34	
4.28/1.34	Remains to prove termination of the 0-rule system
4.28/1.34	{ }
4.28/1.34	
4.28/1.34	
4.28/1.34	The system is trivially terminating.
4.37/1.37	EOF