92.51/23.65	YES
92.51/23.67	
92.51/23.67	
92.51/23.67	The system was filtered by the following matrix interpretation
92.51/23.67	of type E_J with J = {1,...,2} and dimension 6:
92.51/23.67	
92.51/23.67	b is interpreted by
92.51/23.67	 /           \
92.51/23.67	| 1 4 1 0 0 1 |
92.51/23.67	| 0 1 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 |
92.51/23.67	| 0 1 0 0 1 1 |
92.51/23.67	| 0 0 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 |
92.51/23.67	 \           /
92.51/23.67	a is interpreted by
92.51/23.67	 /           \
92.51/23.67	| 1 0 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 |
92.51/23.67	| 0 0 0 1 1 0 |
92.51/23.67	| 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 1 |
92.51/23.67	| 0 0 0 0 1 0 |
92.51/23.67	 \           /
92.51/23.67	
92.51/23.67	Remains to prove termination of the 4-rule system
92.51/23.67	{ b a a b a a b -> b a a a b a a a b a a a b ,
92.51/23.67	  b a a a b a a a b a a a b -> b b a a b ,
92.51/23.67	  b b b ->= b a b a a b ,
92.51/23.67	  b a b a a b ->= b b b }
92.51/23.67	
92.51/23.67	
92.51/23.67	The system was filtered by the following matrix interpretation
92.51/23.67	of type E_J with J = {1,...,2} and dimension 10:
92.51/23.67	
92.51/23.67	b is interpreted by
92.51/23.67	 /                   \
92.51/23.67	| 1 0 1 0 0 0 0 0 1 0 |
92.51/23.67	| 0 1 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 1 0 1 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 1 |
92.51/23.67	| 0 0 0 0 0 1 0 1 0 0 |
92.51/23.67	 \                   /
92.51/23.67	a is interpreted by
92.51/23.67	 /                   \
92.51/23.67	| 1 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 1 0 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 1 0 0 0 1 0 |
92.51/23.67	| 0 0 0 0 1 0 0 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 1 0 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 1 0 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 1 0 |
92.51/23.67	| 0 0 0 0 0 0 0 0 0 0 |
92.51/23.67	| 0 1 0 0 0 0 0 0 0 0 |
92.51/23.67	 \                   /
92.51/23.67	
92.51/23.67	Remains to prove termination of the 3-rule system
92.51/23.67	{ b a a a b a a a b a a a b -> b b a a b ,
92.51/23.67	  b b b ->= b a b a a b ,
92.51/23.67	  b a b a a b ->= b b b }
92.51/23.67	
92.51/23.67	
92.51/23.67	The system was filtered by the following matrix interpretation
92.51/23.67	of type E_J with J = {1,...,2} and dimension 2:
92.51/23.67	
92.51/23.67	b is interpreted by
92.51/23.67	 /   \
92.51/23.67	| 1 1 |
92.51/23.67	| 0 1 |
92.51/23.67	 \   /
92.51/23.67	a is interpreted by
92.51/23.67	 /   \
92.51/23.67	| 1 0 |
92.51/23.67	| 0 1 |
92.51/23.67	 \   /
92.51/23.67	
92.51/23.67	Remains to prove termination of the 2-rule system
92.51/23.67	{ b b b ->= b a b a a b ,
92.51/23.67	  b a b a a b ->= b b b }
92.51/23.67	
92.51/23.67	
92.51/23.67	The system is trivially terminating.
92.63/23.74	EOF