4.04/1.25	YES
4.04/1.31	
4.04/1.31	
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	f is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	s is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	p is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	0 is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 2-rule system
4.04/1.31	{ f s -> s s f p s ,
4.04/1.31	  p s -> }
4.04/1.31	
4.04/1.31	
4.04/1.31	Applying context closure of depth 1 in the following form: System R over Sigma
4.04/1.31	maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2,
4.04/1.31	where fold(a_1,...,a_n) = (a_1,a_2)...(a_{n-1}a_{n})
4.04/1.31	
4.04/1.31	Remains to prove termination of the 18-rule system
4.04/1.31	{ [f, f] [f, s] [s, f] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [f, p] [p, s] [s, f] -> [f, f] ,
4.04/1.31	  [f, f] [f, s] [s, s] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [f, p] [p, s] [s, s] -> [f, s] ,
4.04/1.31	  [f, f] [f, s] [s, p] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [f, p] [p, s] [s, p] -> [f, p] ,
4.04/1.31	  [s, f] [f, s] [s, f] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [s, p] [p, s] [s, f] -> [s, f] ,
4.04/1.31	  [s, f] [f, s] [s, s] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [s, p] [p, s] [s, s] -> [s, s] ,
4.04/1.31	  [s, f] [f, s] [s, p] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [s, p] [p, s] [s, p] -> [s, p] ,
4.04/1.31	  [p, f] [f, s] [s, f] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [p, p] [p, s] [s, f] -> [p, f] ,
4.04/1.31	  [p, f] [f, s] [s, s] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [p, p] [p, s] [s, s] -> [p, s] ,
4.04/1.31	  [p, f] [f, s] [s, p] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [p, p] [p, s] [s, p] -> [p, p] }
4.04/1.31	
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	[f, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 13-rule system
4.04/1.31	{ [f, f] [f, s] [s, f] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [f, p] [p, s] [s, f] -> [f, f] ,
4.04/1.31	  [f, f] [f, s] [s, s] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [f, p] [p, s] [s, s] -> [f, s] ,
4.04/1.31	  [f, f] [f, s] [s, p] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [s, f] [f, s] [s, f] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [s, f] [f, s] [s, s] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [s, f] [f, s] [s, p] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [p, f] [f, s] [s, f] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [p, p] [p, s] [s, f] -> [p, f] ,
4.04/1.31	  [p, f] [f, s] [s, s] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [p, p] [p, s] [s, s] -> [p, s] ,
4.04/1.31	  [p, f] [f, s] [s, p] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, p] }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	[f, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 11-rule system
4.04/1.31	{ [f, f] [f, s] [s, f] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [f, p] [p, s] [s, f] -> [f, f] ,
4.04/1.31	  [f, f] [f, s] [s, s] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [f, p] [p, s] [s, s] -> [f, s] ,
4.04/1.31	  [f, f] [f, s] [s, p] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [s, f] [f, s] [s, f] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [s, f] [f, s] [s, s] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [s, f] [f, s] [s, p] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [p, f] [f, s] [s, f] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [p, f] [f, s] [s, s] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [p, f] [f, s] [s, p] -> [p, s] [s, s] [s, f] [f, p] [p, s] [s, p] }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	[f, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[f, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, s] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[s, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, f] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	[p, p] is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 8-rule system
4.04/1.31	{ [f, f] [f, s] [s, f] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [f, p] [p, s] [s, f] -> [f, f] ,
4.04/1.31	  [f, f] [f, s] [s, s] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [f, p] [p, s] [s, s] -> [f, s] ,
4.04/1.31	  [f, f] [f, s] [s, p] -> [f, s] [s, s] [s, f] [f, p] [p, s] [s, p] ,
4.04/1.31	  [s, f] [f, s] [s, f] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, f] ,
4.04/1.31	  [s, f] [f, s] [s, s] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, s] ,
4.04/1.31	  [s, f] [f, s] [s, p] -> [s, s] [s, s] [s, f] [f, p] [p, s] [s, p] }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was reversed.
4.04/1.31	
4.04/1.31	Remains to prove termination of the 8-rule system
4.04/1.31	{ [s, f] [f, s] [f, f] -> [s, f] [p, s] [f, p] [s, f] [s, s] [f, s] ,
4.04/1.31	  [s, f] [p, s] [f, p] -> [f, f] ,
4.04/1.31	  [s, s] [f, s] [f, f] -> [s, s] [p, s] [f, p] [s, f] [s, s] [f, s] ,
4.04/1.31	  [s, s] [p, s] [f, p] -> [f, s] ,
4.04/1.31	  [s, p] [f, s] [f, f] -> [s, p] [p, s] [f, p] [s, f] [s, s] [f, s] ,
4.04/1.31	  [s, f] [f, s] [s, f] -> [s, f] [p, s] [f, p] [s, f] [s, s] [s, s] ,
4.04/1.31	  [s, s] [f, s] [s, f] -> [s, s] [p, s] [f, p] [s, f] [s, s] [s, s] ,
4.04/1.31	  [s, p] [f, s] [s, f] -> [s, p] [p, s] [f, p] [s, f] [s, s] [s, s] }
4.04/1.31	
4.04/1.31	
4.04/1.31	The dependency pairs transformation was applied.
4.04/1.31	
4.04/1.31	Remains to prove termination of the 29-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([s, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([s, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 24-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([s, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([s, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 2:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 1 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /   \
4.04/1.31	| 1 0 |
4.04/1.31	| 0 1 |
4.04/1.31	 \   /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 14-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([s, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 13-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([s, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 12-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],true) ([f, s],false) ([s, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 11-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([s, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 10-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, p],false) ([f, s],false) ([f, f],false) ->= ([s, p],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 1 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	
4.04/1.31	Remains to prove termination of the 9-rule system
4.04/1.31	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, p],true) ([f, s],false) ([f, f],false) -> ([s, p],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.31	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.31	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.31	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.31	
4.04/1.31	
4.04/1.31	The system was filtered by the following matrix interpretation
4.04/1.31	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.31	
4.04/1.31	([s, f],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([p, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 1 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([f, p],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 1 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, f],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],false) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 1 0 1 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, s],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 0 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],true) is interpreted by
4.04/1.31	 /           \
4.04/1.31	| 1 0 1 0 0 0 |
4.04/1.31	| 0 1 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	| 0 0 0 0 0 0 |
4.04/1.31	 \           /
4.04/1.31	([s, p],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	
4.04/1.32	Remains to prove termination of the 8-rule system
4.04/1.32	{ ([s, f],true) ([f, s],false) ([f, f],false) -> ([s, f],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.32	
4.04/1.32	
4.04/1.32	The system was filtered by the following matrix interpretation
4.04/1.32	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.32	
4.04/1.32	([s, f],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 1 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 1 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, f],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([p, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 1 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, p],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 1 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, f],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 1 0 1 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, s],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, p],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, p],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	
4.04/1.32	Remains to prove termination of the 7-rule system
4.04/1.32	{ ([s, s],true) ([f, s],false) ([f, f],false) -> ([s, s],true) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.32	
4.04/1.32	
4.04/1.32	The system was filtered by the following matrix interpretation
4.04/1.32	of type E_J with J = {1,...,2} and dimension 6:
4.04/1.32	
4.04/1.32	([s, f],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 1 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, f],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([p, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 1 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([f, p],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 1 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, f],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, s],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 1 0 1 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, s],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 1 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, p],true) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	([s, p],false) is interpreted by
4.04/1.32	 /           \
4.04/1.32	| 1 0 0 0 0 0 |
4.04/1.32	| 0 1 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	| 0 0 0 0 0 0 |
4.04/1.32	 \           /
4.04/1.32	
4.04/1.32	Remains to prove termination of the 6-rule system
4.04/1.32	{ ([s, f],false) ([f, s],false) ([f, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([p, s],false) ([f, p],false) ->= ([f, f],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([f, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([f, s],false) ,
4.04/1.32	  ([s, s],false) ([p, s],false) ([f, p],false) ->= ([f, s],false) ,
4.04/1.32	  ([s, f],false) ([f, s],false) ([s, f],false) ->= ([s, f],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) ,
4.04/1.32	  ([s, s],false) ([f, s],false) ([s, f],false) ->= ([s, s],false) ([p, s],false) ([f, p],false) ([s, f],false) ([s, s],false) ([s, s],false) }
4.04/1.32	
4.04/1.32	
4.04/1.32	The system is trivially terminating.
4.37/1.36	EOF