1.75/0.66	YES
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 2:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 4 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	b is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	c is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 6 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	d is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 2 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	f is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 3 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	g is interpreted by
1.75/0.70	 /     \
1.75/0.70	|  1 10 |
1.75/0.70	|  0  1 |
1.75/0.70	 \     /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 8-rule system
1.75/0.70	{ a b c a -> b a c b a b ,
1.75/0.70	  a d -> c ,
1.75/0.70	  a f f -> g ,
1.75/0.70	  b g -> g b ,
1.75/0.70	  c -> f f ,
1.75/0.70	  c a c -> b c a b c ,
1.75/0.70	  c d -> a a ,
1.75/0.70	  g -> c a }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 2:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	b is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	c is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	d is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 1 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	f is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	g is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 6-rule system
1.75/0.70	{ a b c a -> b a c b a b ,
1.75/0.70	  a f f -> g ,
1.75/0.70	  b g -> g b ,
1.75/0.70	  c -> f f ,
1.75/0.70	  c a c -> b c a b c ,
1.75/0.70	  g -> c a }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 2:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 1 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	b is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	c is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 1 |
1.75/0.70	| 0 4 |
1.75/0.70	 \   /
1.75/0.70	d is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	f is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 2 |
1.75/0.70	 \   /
1.75/0.70	g is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 2 |
1.75/0.70	| 0 4 |
1.75/0.70	 \   /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 4-rule system
1.75/0.70	{ a b c a -> b a c b a b ,
1.75/0.70	  b g -> g b ,
1.75/0.70	  c a c -> b c a b c ,
1.75/0.70	  g -> c a }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 2:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	b is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	c is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	d is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	f is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 0 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	g is interpreted by
1.75/0.70	 /   \
1.75/0.70	| 1 1 |
1.75/0.70	| 0 1 |
1.75/0.70	 \   /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 3-rule system
1.75/0.70	{ a b c a -> b a c b a b ,
1.75/0.70	  b g -> g b ,
1.75/0.70	  c a c -> b c a b c }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 4:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 1 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	 \       /
1.75/0.70	b is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	 \       /
1.75/0.70	c is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 1 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	 \       /
1.75/0.70	d is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	 \       /
1.75/0.70	f is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	 \       /
1.75/0.70	g is interpreted by
1.75/0.70	 /       \
1.75/0.70	| 1 0 0 0 |
1.75/0.70	| 0 1 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	| 0 0 0 0 |
1.75/0.70	 \       /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 2-rule system
1.75/0.70	{ a b c a -> b a c b a b ,
1.75/0.70	  b g -> g b }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 5:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 1 1 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	b is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 1 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	c is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 1 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	d is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	f is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	g is interpreted by
1.75/0.70	 /         \
1.75/0.70	| 1 0 0 0 0 |
1.75/0.70	| 0 1 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	| 0 0 0 0 0 |
1.75/0.70	 \         /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 1-rule system
1.75/0.70	{ b g -> g b }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system was filtered by the following matrix interpretation
1.75/0.70	of type E_J with J = {1,...,2} and dimension 3:
1.75/0.70	
1.75/0.70	a is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 0 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 0 0 |
1.75/0.70	 \     /
1.75/0.70	b is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 1 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 0 1 |
1.75/0.70	 \     /
1.75/0.70	c is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 0 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 0 0 |
1.75/0.70	 \     /
1.75/0.70	d is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 0 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 0 0 |
1.75/0.70	 \     /
1.75/0.70	f is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 0 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 0 0 |
1.75/0.70	 \     /
1.75/0.70	g is interpreted by
1.75/0.70	 /     \
1.75/0.70	| 1 0 0 |
1.75/0.70	| 0 1 0 |
1.75/0.70	| 0 1 1 |
1.75/0.70	 \     /
1.75/0.70	
1.75/0.70	Remains to prove termination of the 0-rule system
1.75/0.70	{ }
1.75/0.70	
1.75/0.70	
1.75/0.70	The system is trivially terminating.
2.00/0.74	EOF