109.97/28.07	YES
110.33/28.20	
110.33/28.20	
110.33/28.20	
110.33/28.20	
110.33/28.20	The system was filtered by the following matrix interpretation
110.33/28.20	of type E_J with J = {1,...,2} and dimension 4:
110.33/28.20	
110.33/28.20	b is interpreted by
110.33/28.20	 /       \
110.33/28.20	| 1 0 0 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	 \       /
110.33/28.20	q is interpreted by
110.33/28.20	 /       \
110.33/28.20	| 1 0 0 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	 \       /
110.33/28.20	p is interpreted by
110.33/28.20	 /       \
110.33/28.20	| 1 0 0 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	| 0 0 0 1 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	 \       /
110.33/28.20	0 is interpreted by
110.33/28.20	 /       \
110.33/28.20	| 1 0 1 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	 \       /
110.33/28.20	1 is interpreted by
110.33/28.20	 /       \
110.33/28.20	| 1 0 0 0 |
110.33/28.20	| 0 1 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	| 0 0 0 0 |
110.33/28.20	 \       /
110.33/28.20	
110.33/28.20	Remains to prove termination of the 5-rule system
110.33/28.20	{ b q b -> b p b ,
110.33/28.20	  1 p 1 ->= q ,
110.33/28.20	  0 q 0 ->= q ,
110.33/28.20	  1 q 1 ->= q ,
110.33/28.20	  p ->= 1 p 1 0 1 }
110.33/28.20	
110.33/28.20	
110.33/28.20	Applying context closure of depth 1 in the following form: System R over Sigma
110.33/28.20	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
110.33/28.20	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
110.33/28.20	
110.33/28.20	Remains to prove termination of the 125-rule system
110.33/28.20	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.20	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.20	  [b, 0] [0, q] [q, 0] [0, b] ->= [b, q] [q, b] ,
110.33/28.20	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.20	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.20	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.20	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.20	  [b, 0] [0, q] [q, 0] [0, q] ->= [b, q] [q, q] ,
110.33/28.20	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.20	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.20	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.20	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.20	  [b, 0] [0, q] [q, 0] [0, p] ->= [b, q] [q, p] ,
110.33/28.20	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.20	  [b, p] [p, p] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.20	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.20	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.20	  [b, 0] [0, q] [q, 0] [0, 1] ->= [b, q] [q, 1] ,
110.33/28.20	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.20	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 0] [0, q] [q, 0] [0, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, p] [p, p] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, p] [p, b] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, p] [p, q] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, p] [p, p] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, p] [p, 1] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, p] [p, 0] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, p] [p, p] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, p] [p, b] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, p] [p, q] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, p] [p, p] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, p] [p, 1] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, p] [p, 0] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 120-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, p] [p, p] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, p] [p, p] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, p] [p, b] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, p] [p, q] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, p] [p, p] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, p] [p, 1] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, p] [p, 0] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, p] [p, p] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, p] [p, b] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, p] [p, q] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, p] [p, p] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, p] [p, 1] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, p] [p, 0] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 116-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, p] [p, p] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, p] [p, p] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, p] [p, b] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, p] [p, q] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, p] [p, p] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, p] [p, 1] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, p] [p, 0] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, p] [p, p] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, p] [p, b] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, p] [p, q] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, p] [p, p] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, p] [p, 1] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, p] [p, 0] ->= [0, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 107-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, p] [p, p] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, p] [p, p] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, p] [p, b] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, p] [p, q] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, p] [p, p] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, p] [p, 1] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, p] [p, 0] ->= [p, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, p] [p, p] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 99-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 0] [0, q] [q, 0] [0, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 93-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, p] [p, 0] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, p] [p, 0] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 0] [0, q] [q, 0] [0, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, p] [p, 0] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 2:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 0 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /   \
110.33/28.21	| 1 1 |
110.33/28.21	| 0 1 |
110.33/28.21	 \   /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 88-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 1 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 1 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 1 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 87-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.21	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.21	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.21	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.21	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.21	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.21	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.21	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.21	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.21	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.21	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.21	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.21	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.21	
110.33/28.21	
110.33/28.21	The system was filtered by the following matrix interpretation
110.33/28.21	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.21	
110.33/28.21	[b, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 1 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 1 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 1 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[b, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, b] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, q] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[q, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, p] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[1, 1] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[0, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	[p, 0] is interpreted by
110.33/28.21	 /         \
110.33/28.21	| 1 0 0 0 0 |
110.33/28.21	| 0 1 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	| 0 0 0 0 0 |
110.33/28.21	 \         /
110.33/28.21	
110.33/28.21	Remains to prove termination of the 86-rule system
110.33/28.21	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.21	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.21	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.21	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.21	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.21	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, p] [p, 1] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 3:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 1 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	 \     /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 85-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 1 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 1 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 1 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 84-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 1 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 1 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 1 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 83-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 1 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 1 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 1 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 82-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, p] [p, b] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 3:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	 \     /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 1 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /     \
110.33/28.22	| 1 0 0 |
110.33/28.22	| 0 1 0 |
110.33/28.22	| 0 0 0 |
110.33/28.22	 \     /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 81-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.33/28.22	
110.33/28.22	
110.33/28.22	The system was filtered by the following matrix interpretation
110.33/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.33/28.22	
110.33/28.22	[b, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 1 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 1 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[b, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, b] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 1 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, q] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[q, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, p] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[1, 1] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[0, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	[p, 0] is interpreted by
110.33/28.22	 /         \
110.33/28.22	| 1 0 0 0 0 |
110.33/28.22	| 0 1 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	| 0 0 0 0 0 |
110.33/28.22	 \         /
110.33/28.22	
110.33/28.22	Remains to prove termination of the 80-rule system
110.33/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.33/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.33/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.33/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.33/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.33/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.33/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.33/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.33/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.33/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.33/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.33/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.33/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.22	
110.40/28.22	
110.40/28.22	The system was filtered by the following matrix interpretation
110.40/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.22	
110.40/28.22	[b, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 1 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 1 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 1 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	
110.40/28.22	Remains to prove termination of the 79-rule system
110.40/28.22	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.22	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.22	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.22	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.22	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.22	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.22	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.22	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.22	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.22	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.22	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.22	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.22	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.22	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.22	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.22	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.22	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.22	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.22	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.22	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.22	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.22	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.22	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.22	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.22	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.22	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.22	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.22	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.22	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.22	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.22	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.22	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.22	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.22	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.22	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.22	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.22	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.22	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.22	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.22	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.22	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.22	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.22	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.22	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.22	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.22	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.22	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.22	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.22	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.22	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.22	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.22	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.22	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.22	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.22	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.22	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.22	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.22	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.22	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.22	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.22	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.22	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.22	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.22	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.22	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.22	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.22	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.22	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.22	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.22	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.22	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.22	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.22	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.22	  [0, 1] [1, p] [p, 1] [1, 0] ->= [0, q] [q, 0] ,
110.40/28.22	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.22	
110.40/28.22	
110.40/28.22	The system was filtered by the following matrix interpretation
110.40/28.22	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.22	
110.40/28.22	[b, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, p] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 1 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[p, 1] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 1 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[1, b] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[b, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[0, q] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.22	[q, 0] is interpreted by
110.40/28.22	 /         \
110.40/28.22	| 1 0 0 0 0 |
110.40/28.22	| 0 1 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	| 0 0 0 0 0 |
110.40/28.22	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 78-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 77-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 76-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 75-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 74-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 73-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 5:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 1 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 1 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[b, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, b] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, q] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[q, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, p] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[1, 1] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 1 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[0, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	[p, 0] is interpreted by
110.40/28.23	 /         \
110.40/28.23	| 1 0 0 0 0 |
110.40/28.23	| 0 1 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	| 0 0 0 0 0 |
110.40/28.23	 \         /
110.40/28.23	
110.40/28.23	Remains to prove termination of the 72-rule system
110.40/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.40/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.40/28.23	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.40/28.23	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.40/28.23	  [q, p] [p, b] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.40/28.23	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.40/28.23	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.40/28.23	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.40/28.23	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.40/28.23	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.40/28.23	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.40/28.23	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.40/28.23	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.40/28.23	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.40/28.23	
110.40/28.23	
110.40/28.23	The system was filtered by the following matrix interpretation
110.40/28.23	of type E_J with J = {1,...,2} and dimension 3:
110.40/28.23	
110.40/28.23	[b, b] is interpreted by
110.40/28.23	 /     \
110.40/28.23	| 1 0 0 |
110.40/28.23	| 0 1 0 |
110.40/28.23	| 0 0 0 |
110.40/28.23	 \     /
110.42/28.23	[b, q] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[q, b] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[b, p] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[p, b] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	 \     /
110.42/28.23	[b, 1] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[1, p] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 1 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[p, 1] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[1, b] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[b, 0] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[0, q] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[q, 0] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[0, b] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[1, q] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[q, 1] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[1, 0] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[0, 1] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[q, q] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[p, q] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[q, p] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 1 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[0, p] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[p, p] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[1, 1] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[0, 0] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	[p, 0] is interpreted by
110.42/28.23	 /     \
110.42/28.23	| 1 0 0 |
110.42/28.23	| 0 1 0 |
110.42/28.23	| 0 0 0 |
110.42/28.23	 \     /
110.42/28.23	
110.42/28.23	Remains to prove termination of the 71-rule system
110.42/28.23	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.23	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.23	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.23	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.23	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, p] [p, q] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 3:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 1 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	 \     /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	 \     /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /     \
110.42/28.24	| 1 0 0 |
110.42/28.24	| 0 1 0 |
110.42/28.24	| 0 0 0 |
110.42/28.24	 \     /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 70-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 1 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 69-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 1 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 68-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, p] [p, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 67-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, p] [p, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 66-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 1 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 65-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, b] ->= [b, q] [q, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, p] ->= [b, q] [q, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 1] ->= [b, q] [q, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [b, 1] [1, q] [q, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 9:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 1 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[1, p] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[p, 1] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[1, b] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[b, 0] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[0, q] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[q, 0] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[0, b] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[1, q] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 1 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[q, 1] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 1 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[1, 0] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 1 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[0, 1] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 1 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[q, q] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[p, q] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[q, p] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 2 0 0 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[0, p] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[p, p] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[1, 1] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 1 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[0, 0] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	[p, 0] is interpreted by
110.42/28.24	 /                 \
110.42/28.24	| 1 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 0 0 0 0 |
110.42/28.24	 \                 /
110.42/28.24	
110.42/28.24	Remains to prove termination of the 60-rule system
110.42/28.24	{ [b, b] [b, q] [q, b] [b, b] -> [b, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.24	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.24	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.24	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.24	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.24	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.24	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.24	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.24	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.24	
110.42/28.24	
110.42/28.24	The system was filtered by the following matrix interpretation
110.42/28.24	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.24	
110.42/28.24	[b, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 1 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, q] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 1 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[q, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 1 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, p] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[p, b] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.24	[b, 1] is interpreted by
110.42/28.24	 /         \
110.42/28.24	| 1 0 0 0 0 |
110.42/28.24	| 0 1 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	| 0 0 0 0 0 |
110.42/28.24	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 59-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, 0] -> [b, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 58-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, b] -> [0, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 57-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 0] -> [0, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 56-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, q] -> [b, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, p] -> [b, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [b, b] [b, q] [q, b] [b, 1] -> [b, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 53-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, q] -> [0, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, p] -> [0, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, b] [b, q] [q, b] [b, 1] -> [0, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 50-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, b] -> [q, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, b] -> [p, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, b] -> [1, b] [b, p] [p, b] [b, b] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 1 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 1 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 47-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 0] -> [q, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 0] -> [p, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 0] -> [1, b] [b, p] [p, b] [b, 0] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 1 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 1 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[1, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[0, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, 0] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	
110.42/28.25	Remains to prove termination of the 44-rule system
110.42/28.25	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.25	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, q] -> [q, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.25	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, p] -> [q, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.25	  [q, b] [b, q] [q, b] [b, 1] -> [q, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.25	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, q] -> [p, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, p] -> [p, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.25	  [p, b] [b, q] [q, b] [b, 1] -> [p, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.25	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, q] -> [1, b] [b, p] [p, b] [b, q] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.25	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, p] -> [1, b] [b, p] [p, b] [b, p] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.25	  [1, b] [b, q] [q, b] [b, 1] -> [1, b] [b, p] [p, b] [b, 1] ,
110.42/28.25	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.25	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.25	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.25	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.25	
110.42/28.25	
110.42/28.25	The system was filtered by the following matrix interpretation
110.42/28.25	of type E_J with J = {1,...,2} and dimension 5:
110.42/28.25	
110.42/28.25	[b, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, q] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 1 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[q, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 1 0 1 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, p] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[p, b] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 1 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	 \         /
110.42/28.25	[b, 1] is interpreted by
110.42/28.25	 /         \
110.42/28.25	| 1 0 0 0 0 |
110.42/28.25	| 0 1 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.25	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[1, p] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[p, 1] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[1, b] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 1 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[b, 0] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[0, q] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[q, 0] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[0, b] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[1, q] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[q, 1] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[1, 0] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[0, 1] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[q, q] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[p, q] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[q, p] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[0, p] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[p, p] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[1, 1] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[0, 0] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	[p, 0] is interpreted by
110.42/28.26	 /         \
110.42/28.26	| 1 0 0 0 0 |
110.42/28.26	| 0 1 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	| 0 0 0 0 0 |
110.42/28.26	 \         /
110.42/28.26	
110.42/28.26	Remains to prove termination of the 35-rule system
110.42/28.26	{ [b, p] [p, b] ->= [b, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, b] ,
110.42/28.26	  [b, 1] [1, p] [p, 1] [1, q] ->= [b, q] [q, q] ,
110.42/28.26	  [b, 1] [1, p] [p, 1] [1, 0] ->= [b, q] [q, 0] ,
110.42/28.26	  [q, 1] [1, q] [q, 1] [1, b] ->= [q, q] [q, b] ,
110.42/28.26	  [q, 1] [1, p] [p, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.26	  [q, 0] [0, q] [q, 0] [0, q] ->= [q, q] [q, q] ,
110.42/28.26	  [q, 1] [1, q] [q, 1] [1, q] ->= [q, q] [q, q] ,
110.42/28.26	  [q, p] [p, q] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.26	  [q, 1] [1, q] [q, 1] [1, p] ->= [q, q] [q, p] ,
110.42/28.26	  [q, 0] [0, q] [q, 0] [0, 1] ->= [q, q] [q, 1] ,
110.42/28.26	  [q, 1] [1, q] [q, 1] [1, 1] ->= [q, q] [q, 1] ,
110.42/28.26	  [q, p] [p, 1] ->= [q, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.26	  [q, 1] [1, p] [p, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.26	  [q, 1] [1, q] [q, 1] [1, 0] ->= [q, q] [q, 0] ,
110.42/28.26	  [p, 1] [1, q] [q, 1] [1, b] ->= [p, q] [q, b] ,
110.42/28.26	  [p, 1] [1, q] [q, 1] [1, q] ->= [p, q] [q, q] ,
110.42/28.26	  [p, 1] [1, q] [q, 1] [1, p] ->= [p, q] [q, p] ,
110.42/28.26	  [p, 1] [1, q] [q, 1] [1, 1] ->= [p, q] [q, 1] ,
110.42/28.26	  [p, 1] [1, q] [q, 1] [1, 0] ->= [p, q] [q, 0] ,
110.42/28.26	  [1, 1] [1, q] [q, 1] [1, b] ->= [1, q] [q, b] ,
110.42/28.26	  [1, 1] [1, p] [p, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.26	  [1, 0] [0, q] [q, 0] [0, q] ->= [1, q] [q, q] ,
110.42/28.26	  [1, 1] [1, q] [q, 1] [1, q] ->= [1, q] [q, q] ,
110.42/28.26	  [1, p] [p, q] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, q] ,
110.42/28.26	  [1, 1] [1, q] [q, 1] [1, p] ->= [1, q] [q, p] ,
110.42/28.26	  [1, 0] [0, q] [q, 0] [0, 1] ->= [1, q] [q, 1] ,
110.42/28.26	  [1, 1] [1, q] [q, 1] [1, 1] ->= [1, q] [q, 1] ,
110.42/28.26	  [1, p] [p, 1] ->= [1, 1] [1, p] [p, 1] [1, 0] [0, 1] [1, 1] ,
110.42/28.26	  [1, 1] [1, p] [p, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.26	  [1, 1] [1, q] [q, 1] [1, 0] ->= [1, q] [q, 0] ,
110.42/28.26	  [0, 1] [1, q] [q, 1] [1, b] ->= [0, q] [q, b] ,
110.42/28.26	  [0, 1] [1, q] [q, 1] [1, q] ->= [0, q] [q, q] ,
110.42/28.26	  [0, 1] [1, q] [q, 1] [1, p] ->= [0, q] [q, p] ,
110.42/28.26	  [0, 1] [1, q] [q, 1] [1, 1] ->= [0, q] [q, 1] ,
110.42/28.26	  [0, 1] [1, q] [q, 1] [1, 0] ->= [0, q] [q, 0] }
110.42/28.26	
110.42/28.26	
110.42/28.26	The system is trivially terminating.
110.51/28.32	EOF