93.55/23.61	YES
93.55/23.61	property Termination
93.55/23.61	has value True
93.55/23.61	for SRS ( [c, b, a] -> [a, b, b], [b, a, c] -> [b, b, b], [a, c, c] -> [a, b, b], [c, c, a] ->= [c, a, c], [a, a, a] ->= [a, a, b], [a, b, a] ->= [b, b, a], [b, b, b] ->= [a, b, c])
93.55/23.61	reason
93.55/23.61	  remap for 7 rules
93.55/23.61	   property Termination
93.55/23.61	has value True
93.55/23.61	for SRS ( [0, 1, 2] -> [2, 1, 1], [1, 2, 0] -> [1, 1, 1], [2, 0, 0] -> [2, 1, 1], [0, 0, 2] ->= [0, 2, 0], [2, 2, 2] ->= [2, 2, 1], [2, 1, 2] ->= [1, 1, 2], [1, 1, 1] ->= [2, 1, 0])
93.55/23.61	reason
93.55/23.61	  Matrix   { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
93.55/23.61	    interpretation
93.55/23.61	      0 St  / 2 0 0 0 \
93.55/23.61	            | 0 2 0 0 |
93.55/23.61	            | 0 0 2 1 |
93.55/23.61	            \ 0 0 0 1 /
93.55/23.61	      1 St  / 1 1 0 1 \
93.55/23.61	            | 1 1 1 0 |
93.55/23.61	            | 0 0 0 0 |
93.55/23.61	            \ 0 0 0 1 /
93.55/23.61	      2 St  / 1 1 1 1 \
93.55/23.61	            | 1 1 1 1 |
93.55/23.61	            | 0 0 0 0 |
93.55/23.61	            \ 0 0 0 1 /
93.55/23.61	    [0, 1, 2] -> [2, 1, 1]
93.55/23.61	     lhs               rhs               ge     gt
93.55/23.61	       St  / 4 4 4 6 \   St  / 4 4 2 4 \   True   True
93.55/23.61	           | 4 4 4 4 |       | 4 4 2 4 |        
93.55/23.61	           | 0 0 0 1 |       | 0 0 0 0 |        
93.55/23.61	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.61	    [1, 2, 0] -> [1, 1, 1]
93.55/23.61	     lhs               rhs               ge     gt
93.55/23.61	       St  / 4 4 4 5 \   St  / 4 4 2 4 \   True   True
93.55/23.61	           | 4 4 4 4 |       | 4 4 2 3 |        
93.55/23.61	           | 0 0 0 0 |       | 0 0 0 0 |        
93.55/23.61	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.61	    [2, 0, 0] -> [2, 1, 1]
93.55/23.62	     lhs               rhs               ge     gt
93.55/23.62	       St  / 4 4 4 4 \   St  / 4 4 2 4 \   True   False
93.55/23.62	           | 4 4 4 4 |       | 4 4 2 4 |        
93.55/23.62	           | 0 0 0 0 |       | 0 0 0 0 |        
93.55/23.62	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.62	    [0, 0, 2] ->= [0, 2, 0]
93.55/23.62	     lhs               rhs               ge     gt
93.55/23.62	       St  / 4 4 4 4 \   St  / 4 4 4 4 \   True   False
93.55/23.62	           | 4 4 4 4 |       | 4 4 4 4 |        
93.55/23.62	           | 0 0 0 3 |       | 0 0 0 1 |        
93.55/23.62	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.62	    [2, 2, 2] ->= [2, 2, 1]
93.55/23.62	     lhs               rhs               ge     gt
93.55/23.62	       St  / 4 4 4 7 \   St  / 4 4 2 5 \   True   True
93.55/23.62	           | 4 4 4 7 |       | 4 4 2 5 |        
93.55/23.62	           | 0 0 0 0 |       | 0 0 0 0 |        
93.55/23.62	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.62	    [2, 1, 2] ->= [1, 1, 2]
93.55/23.62	     lhs               rhs               ge     gt
93.55/23.62	       St  / 4 4 4 6 \   St  / 4 4 4 6 \   True   False
93.55/23.62	           | 4 4 4 6 |       | 4 4 4 5 |        
93.55/23.62	           | 0 0 0 0 |       | 0 0 0 0 |        
93.55/23.62	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.62	    [1, 1, 1] ->= [2, 1, 0]
93.55/23.62	     lhs               rhs               ge     gt
93.55/23.62	       St  / 4 4 2 4 \   St  / 4 4 2 3 \   True   True
93.55/23.62	           | 4 4 2 3 |       | 4 4 2 3 |        
93.55/23.62	           | 0 0 0 0 |       | 0 0 0 0 |        
93.55/23.62	           \ 0 0 0 1 /       \ 0 0 0 1 /        
93.55/23.62	   property Termination
93.55/23.62	has value True
93.55/23.62	for SRS ( [2, 0, 0] -> [2, 1, 1], [0, 0, 2] ->= [0, 2, 0], [2, 1, 2] ->= [1, 1, 2])
93.55/23.62	reason
93.55/23.62	  weights
93.55/23.62	    Map [(0, 1/1), (2, 1/1)]
93.55/23.62	  
93.55/23.62	   property Termination
93.55/23.62	has value True
93.55/23.62	for SRS ( [0, 0, 2] ->= [0, 2, 0])
93.55/23.62	reason
93.55/23.62	  has no strict rules
93.55/23.62	
93.55/23.62	**************************************************
93.55/23.62	          summary
93.55/23.62	**************************************************
93.55/23.62	SRS with 7 rules on 3 letters       Remap   { tracing = False}
93.55/23.62	SRS with 7 rules on 3 letters       Matrix   { monotone = Strict, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
93.55/23.62	SRS with 3 rules on 3 letters       weights
93.55/23.62	SRS with 1 rules on 2 letters       has no strict rules
93.55/23.62	
93.55/23.62	**************************************************
93.55/23.63	(7, 3)\Matrix{\Natural}{4}(3, 3)\Weight(1, 2)[]
93.55/23.63	**************************************************
93.66/23.64	let { done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight { modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));matrix = \ mo dom dim bits -> weighted (Worker (Matrix { monotone = mo,domain = dom,dim = dim,bits = bits}));kbo = \ b -> weighted (Worker (KBO { bits = b,solver = Minisatapi}));method = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ when_medium (kbo 1), when_medium (And_Then (Worker Mirror) (kbo 1))] <> ((for [ 3, 4] (\ d -> when_small (matrix Strict Natural d 3))) <> (for [ 2, 3, 5, 8] (\ w -> tiling Overlap w))))))}
93.66/23.64	in Apply (Worker Remap) method
93.79/23.79	EOF