0.00/0.45	YES
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	a is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 2 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	g is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 2 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	d is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	b is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 3 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	c is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 4 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 4-rule system
0.00/0.46	{ a -> g d ,
0.00/0.46	  b b -> a g g ,
0.00/0.46	  c d -> g g ,
0.00/0.46	  g g g -> b b }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	a is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	g is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	d is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	b is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	c is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 3-rule system
0.00/0.46	{ a -> g d ,
0.00/0.46	  b b -> a g g ,
0.00/0.46	  g g g -> b b }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.46	
0.00/0.46	a is interpreted by
0.00/0.46	 /       \
0.00/0.46	| 1 0 0 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	 \       /
0.00/0.46	g is interpreted by
0.00/0.46	 /       \
0.00/0.46	| 1 0 1 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	| 0 0 0 1 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	 \       /
0.00/0.46	d is interpreted by
0.00/0.46	 /       \
0.00/0.46	| 1 0 0 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	 \       /
0.00/0.46	b is interpreted by
0.00/0.46	 /       \
0.00/0.46	| 1 0 1 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	| 0 0 0 1 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	 \       /
0.00/0.46	c is interpreted by
0.00/0.46	 /       \
0.00/0.46	| 1 0 0 0 |
0.00/0.46	| 0 1 0 0 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	 \       /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 2-rule system
0.00/0.46	{ a -> g d ,
0.00/0.46	  b b -> a g g }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	a is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	g is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	d is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	b is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	c is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 1-rule system
0.00/0.46	{ a -> g d }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system was filtered by the following matrix interpretation
0.00/0.46	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.46	
0.00/0.46	a is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 1 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	g is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	d is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	b is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	c is interpreted by
0.00/0.46	 /   \
0.00/0.46	| 1 0 |
0.00/0.46	| 0 1 |
0.00/0.46	 \   /
0.00/0.46	
0.00/0.46	Remains to prove termination of the 0-rule system
0.00/0.46	{ }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system is trivially terminating.
0.00/0.51	EOF