161.08/40.73	YES
161.08/40.73	property Termination
161.08/40.73	has value True
161.08/40.73	for SRS ( [a, a, b] -> [b, a, a, a], [b, a, b, a] -> [a, b, b])
161.08/40.73	reason
161.08/40.73	  remap for 2 rules
161.08/40.73	   property Termination
161.08/40.73	has value True
161.08/40.73	for SRS ( [0, 0, 1] -> [1, 0, 0, 0], [1, 0, 1, 0] -> [0, 1, 1])
161.08/40.73	reason
161.08/40.73	  reverse each lhs and rhs
161.08/40.73	   property Termination
161.08/40.73	has value True
161.08/40.73	for SRS ( [1, 0, 0] -> [0, 0, 0, 1], [0, 1, 0, 1] -> [1, 1, 0])
161.08/40.73	reason
161.08/40.73	  DP transform
161.08/40.73	   property Termination
161.08/40.73	has value True
161.08/40.73	for SRS ( [1, 0, 0] ->= [0, 0, 0, 1], [0, 1, 0, 1] ->= [1, 1, 0], [1#, 0, 0] |-> [0#, 0, 0, 1], [1#, 0, 0] |-> [0#, 0, 1], [1#, 0, 0] |-> [0#, 1], [1#, 0, 0] |-> [1#], [0#, 1, 0, 1] |-> [1#, 1, 0], [0#, 1, 0, 1] |-> [1#, 0], [0#, 1, 0, 1] |-> [0#])
161.08/40.73	reason
161.08/40.73	  remap for 9 rules
161.08/40.73	   property Termination
161.08/40.73	has value True
161.08/40.73	for SRS ( [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1], [2, 1, 1] |-> [3, 1, 1, 0], [2, 1, 1] |-> [3, 1, 0], [2, 1, 1] |-> [3, 0], [2, 1, 1] |-> [2], [3, 0, 1, 0] |-> [2, 0, 1], [3, 0, 1, 0] |-> [2, 1], [3, 0, 1, 0] |-> [3])
161.08/40.73	reason
161.31/40.75	  weights
161.31/40.75	    Map [(0, 1/3), (2, 1/3)]
161.31/40.75	  
161.31/40.75	   property Termination
161.31/40.75	has value True
161.31/40.75	for SRS ( [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1], [2, 1, 1] |-> [3, 1, 1, 0], [2, 1, 1] |-> [3, 1, 0], [2, 1, 1] |-> [3, 0], [2, 1, 1] |-> [2], [3, 0, 1, 0] |-> [2, 0, 1])
161.31/40.75	reason
161.31/40.75	  EDG has 1 SCCs
161.31/40.75	   property Termination
161.31/40.75	has value True
161.31/40.75	for SRS ( [2, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [2, 0, 1], [2, 1, 1] |-> [2], [2, 1, 1] |-> [3, 0], [2, 1, 1] |-> [3, 1, 0], [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1])
161.31/40.75	reason
161.31/40.75	  Matrix   { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
161.31/40.75	    interpretation
161.31/40.75	      0 Wk  / 1 1 1 1 \
161.31/40.75	            | 1 0 0 0 |
161.31/40.75	            | 0 0 1 0 |
161.31/40.75	            \ 0 0 0 1 /
161.31/40.75	      1 Wk  / 1 0 1 1 \
161.31/40.75	            | 0 1 1 0 |
161.31/40.75	            | 0 0 0 1 |
161.31/40.75	            \ 0 0 0 1 /
161.31/40.75	      2 Wk  / 1 1 2 0 \
161.31/40.75	            | 0 0 0 4 |
161.31/40.75	            | 0 0 0 4 |
161.31/40.75	            \ 0 0 0 1 /
161.31/40.75	      3 Wk  / 1 0 0 2 \
161.31/40.75	            | 0 0 0 4 |
161.31/40.75	            | 0 0 0 4 |
161.31/40.75	            \ 0 0 0 1 /
161.31/40.75	    [2, 1, 1] |-> [3, 1, 1, 0]
161.31/40.76	     lhs               rhs               ge     gt
161.31/40.76	       Wk  / 1 1 2 6 \   Wk  / 1 1 2 6 \   True   False
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.31/40.76	    [3, 0, 1, 0] |-> [2, 0, 1]
161.31/40.76	     lhs               rhs               ge     gt
161.31/40.76	       Wk  / 2 1 3 6 \   Wk  / 2 1 3 6 \   True   False
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.31/40.76	    [2, 1, 1] |-> [2]
161.31/40.76	     lhs               rhs               ge     gt
161.31/40.76	       Wk  / 1 1 2 6 \   Wk  / 1 1 2 0 \   True   True
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           | 0 0 0 4 |       | 0 0 0 4 |        
161.31/40.76	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.31/40.76	    [2, 1, 1] |-> [3, 0]
161.39/40.77	     lhs               rhs               ge     gt
161.39/40.77	       Wk  / 1 1 2 6 \   Wk  / 1 1 1 3 \   True   True
161.39/40.77	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.77	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.77	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.77	    [2, 1, 1] |-> [3, 1, 0]
161.39/40.77	     lhs               rhs               ge     gt
161.39/40.77	       Wk  / 1 1 2 6 \   Wk  / 1 1 2 4 \   True   True
161.39/40.77	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.77	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.77	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.77	    [0, 1, 1] ->= [1, 1, 1, 0]
161.39/40.77	     lhs               rhs               ge     gt
161.39/40.77	       Wk  / 1 1 2 6 \   Wk  / 1 1 2 6 \   True   False
161.39/40.77	           | 1 0 1 3 |       | 1 0 1 2 |        
161.39/40.77	           | 0 0 0 1 |       | 0 0 0 1 |        
161.39/40.77	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	    [1, 0, 1, 0] ->= [0, 0, 1]
161.39/40.80	     lhs               rhs               ge     gt
161.39/40.80	       Wk  / 2 1 3 6 \   Wk  / 2 1 3 6 \   True   False
161.39/40.80	           | 1 1 2 3 |       | 1 1 2 3 |        
161.39/40.80	           | 0 0 0 1 |       | 0 0 0 1 |        
161.39/40.80	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	   property Termination
161.39/40.80	has value True
161.39/40.80	for SRS ( [2, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [2, 0, 1], [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1])
161.39/40.80	reason
161.39/40.80	  EDG has 1 SCCs
161.39/40.80	   property Termination
161.39/40.80	has value True
161.39/40.80	for SRS ( [2, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [2, 0, 1], [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1])
161.39/40.80	reason
161.39/40.80	  Matrix   { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
161.39/40.80	    interpretation
161.39/40.80	      0 Wk  / 1 0 0 0 \
161.39/40.80	            | 0 0 1 2 |
161.39/40.80	            | 0 1 1 0 |
161.39/40.80	            \ 0 0 0 1 /
161.39/40.80	      1 Wk  / 0 0 0 2 \
161.39/40.80	            | 0 1 0 1 |
161.39/40.80	            | 0 0 1 2 |
161.39/40.80	            \ 0 0 0 1 /
161.39/40.80	      2 Wk  / 1 0 1 1 \
161.39/40.80	            | 0 0 0 4 |
161.39/40.80	            | 0 0 0 4 |
161.39/40.80	            \ 0 0 0 1 /
161.39/40.80	      3 Wk  / 1 1 0 0 \
161.39/40.80	            | 0 0 0 4 |
161.39/40.80	            | 0 0 0 4 |
161.39/40.80	            \ 0 0 0 1 /
161.39/40.80	    [2, 1, 1] |-> [3, 1, 1, 0]
161.39/40.80	     lhs               rhs               ge     gt
161.39/40.80	       Wk  / 0 0 1 7 \   Wk  / 0 0 1 6 \   True   True
161.39/40.80	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.80	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.80	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	    [3, 0, 1, 0] |-> [2, 0, 1]
161.39/40.80	     lhs               rhs               ge     gt
161.39/40.80	       Wk  / 0 1 1 6 \   Wk  / 0 1 1 6 \   True   False
161.39/40.80	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.80	           | 0 0 0 4 |       | 0 0 0 4 |        
161.39/40.80	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	    [0, 1, 1] ->= [1, 1, 1, 0]
161.39/40.80	     lhs               rhs               ge     gt
161.39/40.80	       Wk  / 0 0 0 2 \   Wk  / 0 0 0 2 \   True   False
161.39/40.80	           | 0 0 1 6 |       | 0 0 1 5 |        
161.39/40.80	           | 0 1 1 6 |       | 0 1 1 6 |        
161.39/40.80	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	    [1, 0, 1, 0] ->= [0, 0, 1]
161.39/40.80	     lhs               rhs               ge     gt
161.39/40.80	       Wk  / 0 0 0 2 \   Wk  / 0 0 0 2 \   True   False
161.39/40.80	           | 0 1 1 5 |       | 0 1 1 5 |        
161.39/40.80	           | 0 1 2 7 |       | 0 1 2 7 |        
161.39/40.80	           \ 0 0 0 1 /       \ 0 0 0 1 /        
161.39/40.80	   property Termination
161.39/40.80	has value True
161.39/40.80	for SRS ( [3, 0, 1, 0] |-> [2, 0, 1], [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1])
161.39/40.80	reason
161.39/40.80	  weights
161.39/40.80	    Map [(0, 1/1), (3, 1/1)]
161.39/40.80	  
161.39/40.80	   property Termination
161.39/40.80	has value True
161.39/40.80	for SRS ( [0, 1, 1] ->= [1, 1, 1, 0], [1, 0, 1, 0] ->= [0, 0, 1])
161.39/40.80	reason
161.39/40.80	  EDG has 0 SCCs
161.39/40.80	
161.39/40.80	**************************************************
161.39/40.80	          summary
161.39/40.80	**************************************************
161.39/40.80	SRS with 2 rules on 2 letters       Remap   { tracing = False}
161.39/40.80	SRS with 2 rules on 2 letters       reverse each lhs and rhs
161.39/40.80	SRS with 2 rules on 2 letters       DP transform
161.39/40.80	SRS with 9 rules on 4 letters       Remap   { tracing = False}
161.39/40.80	SRS with 9 rules on 4 letters       weights
161.39/40.80	SRS with 7 rules on 4 letters       EDG
161.39/40.81	SRS with 7 rules on 4 letters       Matrix   { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
161.39/40.81	SRS with 4 rules on 4 letters       EDG
161.39/40.81	SRS with 4 rules on 4 letters       Matrix   { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
161.39/40.81	SRS with 3 rules on 4 letters       weights
161.39/40.81	SRS with 2 rules on 2 letters       EDG
161.39/40.81	
161.39/40.81	**************************************************
161.39/40.81	(2, 2)\Deepee(9, 4)\Weight(7, 4)\Matrix{\Natural}{4}(4, 4)\Matrix{\Natural}{4}(3, 4)\Weight(2, 2)\EDG[]
161.39/40.81	**************************************************
161.74/40.85	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;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO { bits = b,solver = solver})));mb = Worker (Matchbound { method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight { modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (Worker (Enumerate { closure = Backward}))];yeah = Tree_Search_Preemptive 0 done [ Worker (Weight { modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp]}
161.74/40.85	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
162.25/41.03	EOF