0.00/0.39	YES
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 4:
0.00/0.40	
0.00/0.40	b is interpreted by
0.00/0.40	 /       \
0.00/0.40	| 1 0 1 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	| 0 0 0 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	 \       /
0.00/0.40	c is interpreted by
0.00/0.40	 /       \
0.00/0.40	| 1 0 0 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	| 0 0 0 1 |
0.00/0.40	| 0 0 0 0 |
0.00/0.40	 \       /
0.00/0.40	a is interpreted by
0.00/0.40	 /       \
0.00/0.40	| 1 0 1 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	| 0 0 0 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	 \       /
0.00/0.40	d is interpreted by
0.00/0.40	 /       \
0.00/0.40	| 1 0 1 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	| 0 0 0 0 |
0.00/0.40	| 0 1 0 0 |
0.00/0.40	 \       /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 4-rule system
0.00/0.40	{ b -> c c ,
0.00/0.40	  a a -> a ,
0.00/0.40	  a b ->= d ,
0.00/0.40	  d ->= a b }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	c is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	d is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 3-rule system
0.00/0.40	{ a a -> a ,
0.00/0.40	  a b ->= d ,
0.00/0.40	  d ->= a b }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system was filtered by the following matrix interpretation
0.00/0.40	of type E_J with J = {1,...,2} and dimension 2:
0.00/0.40	
0.00/0.40	b is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 0 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	a is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	d is interpreted by
0.00/0.40	 /   \
0.00/0.40	| 1 1 |
0.00/0.40	| 0 1 |
0.00/0.40	 \   /
0.00/0.40	
0.00/0.40	Remains to prove termination of the 2-rule system
0.00/0.40	{ a b ->= d ,
0.00/0.40	  d ->= a b }
0.00/0.40	
0.00/0.40	
0.00/0.40	The system is trivially terminating.
0.00/0.43	EOF