6.74/1.94	YES
6.74/1.95	
6.74/1.95	
6.74/1.95	The system was filtered by the following matrix interpretation
6.74/1.95	of type E_J with J = {1,...,2} and dimension 2:
6.74/1.95	
6.74/1.95	a is interpreted by
6.74/1.95	 /   \
6.74/1.95	| 1 5 |
6.74/1.95	| 0 1 |
6.74/1.95	 \   /
6.74/1.95	b is interpreted by
6.74/1.95	 /   \
6.74/1.95	| 1 2 |
6.74/1.95	| 0 1 |
6.74/1.95	 \   /
6.74/1.95	c is interpreted by
6.74/1.95	 /   \
6.74/1.95	| 1 0 |
6.74/1.95	| 0 5 |
6.74/1.95	 \   /
6.74/1.95	d is interpreted by
6.74/1.95	 /   \
6.74/1.95	| 5 0 |
6.74/1.95	| 0 1 |
6.74/1.95	 \   /
6.74/1.95	
6.74/1.95	Remains to prove termination of the 4-rule system
6.74/1.95	{ a c -> b b c a ,
6.74/1.95	  d b b b -> a d a ,
6.74/1.95	  a b ->= b a ,
6.74/1.95	  b a ->= a b }
6.74/1.95	
6.74/1.95	
6.74/1.95	The system was filtered by the following matrix interpretation
6.74/1.95	of type E_J with J = {1,...,2} and dimension 5:
6.74/1.95	
6.74/1.95	a is interpreted by
6.74/1.95	 /         \
6.74/1.95	| 1 0 0 0 0 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	| 0 0 1 1 1 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	 \         /
6.74/1.95	b is interpreted by
6.74/1.95	 /         \
6.74/1.95	| 1 0 0 0 0 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	| 0 0 1 1 0 |
6.74/1.95	| 0 0 0 0 1 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	 \         /
6.74/1.95	c is interpreted by
6.74/1.95	 /         \
6.74/1.95	| 1 0 0 0 0 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	| 0 0 0 0 0 |
6.74/1.95	| 0 0 0 0 0 |
6.74/1.95	| 0 0 0 0 0 |
6.74/1.95	 \         /
6.74/1.95	d is interpreted by
6.74/1.95	 /         \
6.74/1.95	| 1 0 1 0 0 |
6.74/1.95	| 0 1 0 0 0 |
6.74/1.95	| 0 0 2 0 0 |
6.74/1.95	| 0 0 0 0 1 |
6.74/1.95	| 0 0 0 0 1 |
6.74/1.95	 \         /
6.74/1.95	
6.74/1.95	Remains to prove termination of the 3-rule system
6.74/1.95	{ a c -> b b c a ,
6.74/1.95	  a b ->= b a ,
6.74/1.95	  b a ->= a b }
6.74/1.95	
6.74/1.95	
6.74/1.95	The system was filtered by the following matrix interpretation
6.74/1.95	of type E_J with J = {1,...,2} and dimension 3:
6.74/1.95	
6.74/1.95	a is interpreted by
6.74/1.95	 /     \
6.74/1.95	| 1 0 1 |
6.74/1.95	| 0 1 0 |
6.74/1.95	| 0 0 1 |
6.74/1.95	 \     /
6.74/1.95	b is interpreted by
6.74/1.95	 /     \
6.74/1.95	| 1 0 0 |
6.74/1.95	| 0 1 0 |
6.74/1.95	| 0 0 1 |
6.74/1.95	 \     /
6.74/1.95	c is interpreted by
6.74/1.95	 /     \
6.74/1.95	| 1 0 0 |
6.74/1.95	| 0 1 0 |
6.74/1.95	| 0 1 1 |
6.74/1.95	 \     /
6.74/1.95	d is interpreted by
6.74/1.95	 /     \
6.74/1.95	| 1 0 0 |
6.74/1.95	| 0 1 0 |
6.74/1.95	| 0 0 0 |
6.74/1.95	 \     /
6.74/1.95	
6.74/1.95	Remains to prove termination of the 2-rule system
6.74/1.95	{ a b ->= b a ,
6.74/1.95	  b a ->= a b }
6.74/1.95	
6.74/1.95	
6.74/1.95	The system is trivially terminating.
6.84/1.98	EOF