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 4:
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 0 |
0.00/0.46	| 0 0 1 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 1 |
0.00/0.46	| 0 0 0 0 |
0.00/0.46	 \       /
0.00/0.46	a 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 0 |
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 1 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	
0.00/0.46	Remains to prove termination of the 4-rule system
0.00/0.46	{ b -> c c ,
0.00/0.46	  a a -> a c b a ,
0.00/0.46	  a b ->= d ,
0.00/0.46	  d ->= a 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 3:
0.00/0.46	
0.00/0.46	b is interpreted by
0.00/0.46	 /     \
0.00/0.46	| 1 0 0 |
0.00/0.46	| 0 1 0 |
0.00/0.46	| 0 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 |
0.00/0.46	| 0 1 0 |
0.00/0.46	| 0 0 0 |
0.00/0.46	 \     /
0.00/0.46	a is interpreted by
0.00/0.46	 /     \
0.00/0.46	| 1 0 1 |
0.00/0.46	| 0 1 0 |
0.00/0.46	| 0 1 0 |
0.00/0.46	 \     /
0.00/0.46	d is interpreted by
0.00/0.46	 /     \
0.00/0.46	| 1 0 0 |
0.00/0.46	| 0 1 0 |
0.00/0.46	| 0 1 0 |
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	{ b -> c c ,
0.00/0.46	  a b ->= d ,
0.00/0.46	  d ->= a 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	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	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	d 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 2-rule system
0.00/0.46	{ a b ->= d ,
0.00/0.46	  d ->= a b }
0.00/0.46	
0.00/0.46	
0.00/0.46	The system is trivially terminating.
0.00/0.49	EOF