2.20/0.74	YES
2.20/0.75	
2.20/0.75	
2.20/0.75	Applying context closure of depth 1 in the following form: System R over Sigma
2.20/0.75	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
2.20/0.75	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
2.20/0.75	
2.20/0.75	Remains to prove termination of the 64-rule system
2.20/0.75	{ [A, A] [A, b] [b, A] -> [A, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [A, B] [B, a] [a, A] -> [A, a] [a, b] [b, A] [A, B] [B, A] ,
2.20/0.75	  [A, A] [A, a] [a, A] -> [A, A] ,
2.20/0.75	  [A, B] [B, b] [b, A] -> [A, A] ,
2.20/0.75	  [A, A] [A, b] [b, b] -> [A, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [A, B] [B, a] [a, b] -> [A, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [A, A] [A, a] [a, b] -> [A, b] ,
2.20/0.75	  [A, B] [B, b] [b, b] -> [A, b] ,
2.20/0.75	  [A, A] [A, b] [b, a] -> [A, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [A, B] [B, a] [a, a] -> [A, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [A, A] [A, a] [a, a] -> [A, a] ,
2.20/0.75	  [A, B] [B, b] [b, a] -> [A, a] ,
2.20/0.75	  [A, A] [A, b] [b, B] -> [A, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [A, B] [B, a] [a, B] -> [A, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [A, A] [A, a] [a, B] -> [A, B] ,
2.20/0.75	  [A, B] [B, b] [b, B] -> [A, B] ,
2.20/0.75	  [b, A] [A, b] [b, A] -> [b, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [b, B] [B, a] [a, A] -> [b, a] [a, b] [b, A] [A, B] [B, A] ,
2.20/0.75	  [b, A] [A, a] [a, A] -> [b, A] ,
2.20/0.75	  [b, B] [B, b] [b, A] -> [b, A] ,
2.20/0.75	  [b, A] [A, b] [b, b] -> [b, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [b, B] [B, a] [a, b] -> [b, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [b, A] [A, a] [a, b] -> [b, b] ,
2.20/0.75	  [b, B] [B, b] [b, b] -> [b, b] ,
2.20/0.75	  [b, A] [A, b] [b, a] -> [b, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [b, B] [B, a] [a, a] -> [b, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [b, A] [A, a] [a, a] -> [b, a] ,
2.20/0.75	  [b, B] [B, b] [b, a] -> [b, a] ,
2.20/0.75	  [b, A] [A, b] [b, B] -> [b, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [b, B] [B, a] [a, B] -> [b, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [b, A] [A, a] [a, B] -> [b, B] ,
2.20/0.75	  [b, B] [B, b] [b, B] -> [b, B] ,
2.20/0.75	  [a, A] [A, b] [b, A] -> [a, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [a, B] [B, a] [a, A] -> [a, a] [a, b] [b, A] [A, B] [B, A] ,
2.20/0.75	  [a, A] [A, a] [a, A] -> [a, A] ,
2.20/0.75	  [a, B] [B, b] [b, A] -> [a, A] ,
2.20/0.75	  [a, A] [A, b] [b, b] -> [a, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [a, B] [B, a] [a, b] -> [a, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [a, A] [A, a] [a, b] -> [a, b] ,
2.20/0.75	  [a, B] [B, b] [b, b] -> [a, b] ,
2.20/0.75	  [a, A] [A, b] [b, a] -> [a, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [a, B] [B, a] [a, a] -> [a, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [a, A] [A, a] [a, a] -> [a, a] ,
2.20/0.75	  [a, B] [B, b] [b, a] -> [a, a] ,
2.20/0.75	  [a, A] [A, b] [b, B] -> [a, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [a, B] [B, a] [a, B] -> [a, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [a, A] [A, a] [a, B] -> [a, B] ,
2.20/0.75	  [a, B] [B, b] [b, B] -> [a, B] ,
2.20/0.75	  [B, A] [A, b] [b, A] -> [B, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [B, B] [B, a] [a, A] -> [B, a] [a, b] [b, A] [A, B] [B, A] ,
2.20/0.75	  [B, A] [A, a] [a, A] -> [B, A] ,
2.20/0.75	  [B, B] [B, b] [b, A] -> [B, A] ,
2.20/0.75	  [B, A] [A, b] [b, b] -> [B, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [B, B] [B, a] [a, b] -> [B, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [B, A] [A, a] [a, b] -> [B, b] ,
2.20/0.75	  [B, B] [B, b] [b, b] -> [B, b] ,
2.20/0.75	  [B, A] [A, b] [b, a] -> [B, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [B, B] [B, a] [a, a] -> [B, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [B, A] [A, a] [a, a] -> [B, a] ,
2.20/0.75	  [B, B] [B, b] [b, a] -> [B, a] ,
2.20/0.75	  [B, A] [A, b] [b, B] -> [B, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [B, B] [B, a] [a, B] -> [B, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [B, A] [A, a] [a, B] -> [B, B] ,
2.20/0.75	  [B, B] [B, b] [b, B] -> [B, B] }
2.20/0.75	
2.20/0.75	
2.20/0.75	
2.20/0.75	The system was filtered by the following matrix interpretation
2.20/0.75	of type E_J with J = {1,...,2} and dimension 2:
2.20/0.75	
2.20/0.75	[A, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, b] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, b] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, b] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, b] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 1 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	
2.20/0.75	Remains to prove termination of the 41-rule system
2.20/0.75	{ [A, A] [A, b] [b, A] -> [A, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [A, B] [B, b] [b, A] -> [A, A] ,
2.20/0.75	  [A, A] [A, b] [b, b] -> [A, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [A, B] [B, a] [a, b] -> [A, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [A, A] [A, a] [a, b] -> [A, b] ,
2.20/0.75	  [A, B] [B, b] [b, b] -> [A, b] ,
2.20/0.75	  [A, A] [A, b] [b, a] -> [A, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [A, B] [B, a] [a, a] -> [A, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [A, B] [B, b] [b, a] -> [A, a] ,
2.20/0.75	  [A, A] [A, b] [b, B] -> [A, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [A, B] [B, a] [a, B] -> [A, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [A, B] [B, b] [b, B] -> [A, B] ,
2.20/0.75	  [b, A] [A, b] [b, A] -> [b, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [b, B] [B, b] [b, A] -> [b, A] ,
2.20/0.75	  [b, A] [A, b] [b, b] -> [b, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [b, B] [B, a] [a, b] -> [b, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [b, A] [A, a] [a, b] -> [b, b] ,
2.20/0.75	  [b, B] [B, b] [b, b] -> [b, b] ,
2.20/0.75	  [b, A] [A, b] [b, a] -> [b, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [b, B] [B, a] [a, a] -> [b, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [b, B] [B, b] [b, a] -> [b, a] ,
2.20/0.75	  [b, A] [A, b] [b, B] -> [b, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [b, B] [B, a] [a, B] -> [b, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [b, B] [B, b] [b, B] -> [b, B] ,
2.20/0.75	  [a, B] [B, a] [a, b] -> [a, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [a, B] [B, a] [a, a] -> [a, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [a, B] [B, b] [b, a] -> [a, a] ,
2.20/0.75	  [a, B] [B, a] [a, B] -> [a, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [a, B] [B, b] [b, B] -> [a, B] ,
2.20/0.75	  [B, A] [A, b] [b, A] -> [B, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.75	  [B, A] [A, b] [b, b] -> [B, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.75	  [B, B] [B, a] [a, b] -> [B, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.75	  [B, A] [A, a] [a, b] -> [B, b] ,
2.20/0.75	  [B, A] [A, b] [b, a] -> [B, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.75	  [B, B] [B, a] [a, a] -> [B, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.75	  [B, A] [A, a] [a, a] -> [B, a] ,
2.20/0.75	  [B, B] [B, b] [b, a] -> [B, a] ,
2.20/0.75	  [B, A] [A, b] [b, B] -> [B, b] [b, a] [a, B] [B, A] [A, B] ,
2.20/0.75	  [B, B] [B, a] [a, B] -> [B, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.75	  [B, A] [A, a] [a, B] -> [B, B] ,
2.20/0.75	  [B, B] [B, b] [b, B] -> [B, B] }
2.20/0.75	
2.20/0.75	
2.20/0.75	The system was filtered by the following matrix interpretation
2.20/0.75	of type E_J with J = {1,...,2} and dimension 2:
2.20/0.75	
2.20/0.75	[A, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, b] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[b, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, B] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[B, a] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[a, A] is interpreted by
2.20/0.75	 /   \
2.20/0.75	| 1 0 |
2.20/0.75	| 0 1 |
2.20/0.75	 \   /
2.20/0.75	[A, a] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[a, b] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[B, b] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[b, b] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[a, a] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[b, B] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	[B, B] is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	
2.20/0.76	Remains to prove termination of the 28-rule system
2.20/0.76	{ [A, A] [A, b] [b, A] -> [A, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.76	  [A, B] [B, b] [b, A] -> [A, A] ,
2.20/0.76	  [A, A] [A, b] [b, b] -> [A, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.76	  [A, B] [B, a] [a, b] -> [A, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.76	  [A, A] [A, a] [a, b] -> [A, b] ,
2.20/0.76	  [A, B] [B, b] [b, b] -> [A, b] ,
2.20/0.76	  [A, A] [A, b] [b, a] -> [A, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.76	  [A, B] [B, a] [a, a] -> [A, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.76	  [A, B] [B, b] [b, a] -> [A, a] ,
2.20/0.76	  [A, B] [B, a] [a, B] -> [A, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.76	  [b, A] [A, b] [b, A] -> [b, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.76	  [b, A] [A, b] [b, b] -> [b, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.76	  [b, A] [A, a] [a, b] -> [b, b] ,
2.20/0.76	  [b, A] [A, b] [b, a] -> [b, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.76	  [a, B] [B, a] [a, b] -> [a, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.76	  [a, B] [B, a] [a, a] -> [a, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.76	  [a, B] [B, b] [b, a] -> [a, a] ,
2.20/0.76	  [a, B] [B, a] [a, B] -> [a, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.76	  [B, A] [A, b] [b, A] -> [B, b] [b, a] [a, B] [B, A] [A, A] ,
2.20/0.76	  [B, A] [A, b] [b, b] -> [B, b] [b, a] [a, B] [B, A] [A, b] ,
2.20/0.76	  [B, B] [B, a] [a, b] -> [B, a] [a, b] [b, A] [A, B] [B, b] ,
2.20/0.76	  [B, A] [A, a] [a, b] -> [B, b] ,
2.20/0.76	  [B, A] [A, b] [b, a] -> [B, b] [b, a] [a, B] [B, A] [A, a] ,
2.20/0.76	  [B, B] [B, a] [a, a] -> [B, a] [a, b] [b, A] [A, B] [B, a] ,
2.20/0.76	  [B, A] [A, a] [a, a] -> [B, a] ,
2.20/0.76	  [B, B] [B, b] [b, a] -> [B, a] ,
2.20/0.76	  [B, B] [B, a] [a, B] -> [B, a] [a, b] [b, A] [A, B] [B, B] ,
2.20/0.76	  [B, A] [A, a] [a, B] -> [B, B] }
2.20/0.76	
2.20/0.76	
2.20/0.76	The dependency pairs transformation was applied.
2.20/0.76	
2.20/0.76	Remains to prove termination of the 72-rule system
2.20/0.76	{ ([A, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, A],false) -> ([B, A],true) ([A, A],false) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, A],false) -> ([A, A],true) ,
2.20/0.76	  ([A, B],true) ([B, b],false) ([b, A],false) -> ([A, A],true) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, b],false) -> ([B, A],true) ([A, b],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, b],false) -> ([b, A],true) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, b],false) -> ([A, B],true) ([B, b],false) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, A],true) ([A, b],false) ([b, a],false) -> ([B, A],true) ([A, a],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, a],false) -> ([b, A],true) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, a],false) -> ([A, B],true) ([B, a],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, B],false) -> ([b, A],true) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, B],false) -> ([A, B],true) ([B, B],false) ,
2.20/0.76	  ([A, B],true) ([B, a],false) ([a, B],false) -> ([B, B],true) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, A],false) -> ([B, A],true) ([A, A],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, A],false) -> ([A, A],true) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, b],false) -> ([B, A],true) ([A, b],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, a],false) -> ([B, A],true) ([A, a],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, b],false) -> ([b, A],true) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, b],false) -> ([A, B],true) ([B, b],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, a],false) -> ([b, A],true) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, a],false) -> ([A, B],true) ([B, a],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, B],false) -> ([b, A],true) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, B],false) -> ([A, B],true) ([B, B],false) ,
2.20/0.76	  ([a, B],true) ([B, a],false) ([a, B],false) -> ([B, B],true) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, A],false) -> ([B, A],true) ([A, A],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, A],false) -> ([A, A],true) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, b],false) -> ([B, A],true) ([A, b],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, b],false) -> ([b, A],true) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, b],false) -> ([A, B],true) ([B, b],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, a],false) -> ([B, A],true) ([A, a],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, a],false) -> ([b, A],true) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, a],false) -> ([A, B],true) ([B, a],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, B],false) -> ([b, A],true) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, B],false) -> ([A, B],true) ([B, B],false) ,
2.20/0.76	  ([B, B],true) ([B, a],false) ([a, B],false) -> ([B, B],true) ,
2.20/0.76	  ([B, A],true) ([A, a],false) ([a, B],false) -> ([B, B],true) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, A],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, A],false) ->= ([A, A],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, b],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, b],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([A, A],false) ([A, a],false) ([a, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, a],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, a],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, a],false) ->= ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, B],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, A],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],false) ([A, a],false) ([a, b],false) ->= ([b, b],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([a, B],false) ([B, b],false) ([b, a],false) ->= ([a, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, B],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, A],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, b],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, b],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, b],false) ->= ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, a],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, a],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, b],false) ([b, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, B],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, B],false) ->= ([B, B],false) }
2.20/0.76	
2.20/0.76	
2.20/0.76	
2.20/0.76	
2.20/0.76	The system was filtered by the following matrix interpretation
2.20/0.76	of type E_J with J = {1,...,2} and dimension 2:
2.20/0.76	
2.20/0.76	([A, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	
2.20/0.76	Remains to prove termination of the 35-rule system
2.20/0.76	{ ([b, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, A],true) ([A, a],false) ([a, B],false) -> ([B, B],true) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, A],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, A],false) ->= ([A, A],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, b],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, b],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([A, A],false) ([A, a],false) ([a, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, a],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, a],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, a],false) ->= ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, B],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, A],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],false) ([A, a],false) ([a, b],false) ->= ([b, b],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([a, B],false) ([B, b],false) ([b, a],false) ->= ([a, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, B],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, A],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, b],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, b],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, b],false) ->= ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, a],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, a],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, b],false) ([b, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, B],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, B],false) ->= ([B, B],false) }
2.20/0.76	
2.20/0.76	
2.20/0.76	The system was filtered by the following matrix interpretation
2.20/0.76	of type E_J with J = {1,...,2} and dimension 2:
2.20/0.76	
2.20/0.76	([A, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	
2.20/0.76	Remains to prove termination of the 31-rule system
2.20/0.76	{ ([b, A],true) ([A, b],false) ([b, A],false) -> ([a, B],true) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, b],false) -> ([a, B],true) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],true) ([A, b],false) ([b, a],false) -> ([a, B],true) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, A],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, A],false) ->= ([A, A],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, b],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, b],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([A, A],false) ([A, a],false) ([a, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, a],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, a],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, a],false) ->= ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, B],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, A],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],false) ([A, a],false) ([a, b],false) ->= ([b, b],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([a, B],false) ([B, b],false) ([b, a],false) ->= ([a, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, B],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, A],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, b],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, b],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, b],false) ->= ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, a],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, a],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, b],false) ([b, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, B],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, B],false) ->= ([B, B],false) }
2.20/0.76	
2.20/0.76	
2.20/0.76	The system was filtered by the following matrix interpretation
2.20/0.76	of type E_J with J = {1,...,2} and dimension 2:
2.20/0.76	
2.20/0.76	([A, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, A],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, b],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, A],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 1 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([b, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([A, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, a],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([a, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],false) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	([B, B],true) is interpreted by
2.20/0.76	 /   \
2.20/0.76	| 1 0 |
2.20/0.76	| 0 1 |
2.20/0.76	 \   /
2.20/0.76	
2.20/0.76	Remains to prove termination of the 28-rule system
2.20/0.76	{ ([A, A],false) ([A, b],false) ([b, A],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, A],false) ->= ([A, A],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, b],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, b],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([A, A],false) ([A, a],false) ([a, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, b],false) ->= ([A, b],false) ,
2.20/0.76	  ([A, A],false) ([A, b],false) ([b, a],false) ->= ([A, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, a],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([A, B],false) ([B, b],false) ([b, a],false) ->= ([A, a],false) ,
2.20/0.76	  ([A, B],false) ([B, a],false) ([a, B],false) ->= ([A, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, A],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, b],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([b, A],false) ([A, a],false) ([a, b],false) ->= ([b, b],false) ,
2.20/0.76	  ([b, A],false) ([A, b],false) ([b, a],false) ->= ([b, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, b],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, a],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([a, B],false) ([B, b],false) ([b, a],false) ->= ([a, a],false) ,
2.20/0.76	  ([a, B],false) ([B, a],false) ([a, B],false) ->= ([a, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, A],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, A],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, b],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, b],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, b],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, b],false) ->= ([B, b],false) ,
2.20/0.76	  ([B, A],false) ([A, b],false) ([b, a],false) ->= ([B, b],false) ([b, a],false) ([a, B],false) ([B, A],false) ([A, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, a],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, a],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, b],false) ([b, a],false) ->= ([B, a],false) ,
2.20/0.76	  ([B, B],false) ([B, a],false) ([a, B],false) ->= ([B, a],false) ([a, b],false) ([b, A],false) ([A, B],false) ([B, B],false) ,
2.20/0.76	  ([B, A],false) ([A, a],false) ([a, B],false) ->= ([B, B],false) }
2.20/0.76	
2.20/0.76	
2.20/0.76	The system is trivially terminating.
2.31/0.78	EOF