1.72/0.67	YES
1.72/0.69	
1.72/0.69	
1.72/0.69	The system was filtered by the following matrix interpretation
1.72/0.69	of type E_J with J = {1,...,2} and dimension 14:
1.72/0.69	
1.72/0.69	b is interpreted by
1.72/0.69	 /                           \
1.72/0.69	| 1 0 0 0 0 0 0 0 1 0 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 1 0 1 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 0 0 0 0 0 0 1 0 1 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 1 0 1 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 1 0 0 0 1 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
1.72/0.69	| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
1.72/0.69	 \                           /
1.72/0.69	a is interpreted by
1.72/0.69	 /                           \
1.72/0.69	| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 0 0 0 1 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
1.72/0.69	| 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
1.72/0.69	 \                           /
1.72/0.69	
1.72/0.69	Remains to prove termination of the 2-rule system
1.72/0.69	{ b a a b -> a a a a ,
1.72/0.69	  b ->= b b b }
1.72/0.69	
1.72/0.69	
1.72/0.69	The system was filtered by the following matrix interpretation
1.72/0.69	of type E_J with J = {1,...,2} and dimension 5:
1.72/0.69	
1.72/0.69	b is interpreted by
1.72/0.69	 /         \
1.72/0.69	| 1 0 1 0 0 |
1.72/0.69	| 0 1 0 0 0 |
1.72/0.69	| 0 0 0 0 0 |
1.72/0.69	| 0 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 |
1.72/0.69	 \         /
1.72/0.69	a is interpreted by
1.72/0.69	 /         \
1.72/0.69	| 1 0 0 0 0 |
1.72/0.69	| 0 1 0 0 0 |
1.72/0.69	| 0 0 0 1 0 |
1.72/0.69	| 0 0 0 0 1 |
1.72/0.69	| 0 0 0 0 0 |
1.72/0.69	 \         /
1.72/0.69	
1.72/0.69	Remains to prove termination of the 1-rule system
1.72/0.69	{ b ->= b b b }
1.72/0.69	
1.72/0.69	
1.72/0.69	The system is trivially terminating.
1.97/0.73	EOF