683.04/172.42	YES
683.04/172.42	property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [a, b] -> [], [a, c] -> [c, c], [b, c] -> [a, a, b, b])
683.04/172.42	reason
683.04/172.42	  remap for 3 rules
683.04/172.42	   property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [0, 1] -> [], [0, 2] -> [2, 2], [1, 2] -> [0, 0, 1, 1])
683.04/172.42	reason
683.04/172.42	  DP transform
683.04/172.42	   property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1], [1#, 2] |-> [0#, 0, 1, 1], [1#, 2] |-> [0#, 1, 1], [1#, 2] |-> [1#, 1], [1#, 2] |-> [1#])
683.04/172.42	reason
683.04/172.42	  remap for 7 rules
683.04/172.42	   property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1], [3, 2] |-> [4, 0, 1, 1], [3, 2] |-> [4, 1, 1], [3, 2] |-> [3, 1], [3, 2] |-> [3])
683.04/172.42	reason
683.04/172.42	  weights
683.04/172.42	    Map [(3, 2/1)]
683.04/172.42	  
683.04/172.42	   property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1], [3, 2] |-> [3, 1], [3, 2] |-> [3])
683.04/172.42	reason
683.04/172.42	  EDG has 1 SCCs
683.04/172.42	   property Termination
683.04/172.42	has value True
683.04/172.42	for SRS ( [3, 2] |-> [3, 1], [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1])
683.04/172.42	reason
683.04/172.43	  Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
683.04/172.43	    interpretation
683.04/172.43	      0 Wk  / 1A 0A 0A 2A \
683.04/172.43	            | 0A 1A -  1A |
683.04/172.43	            | -  0A -  0A |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      1 Wk  / -  0A 0A 0A \
683.04/172.43	            | -  -  0A -  |
683.04/172.43	            | 0A -  -  0A |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      2 Wk  / 1A -  0A 1A \
683.04/172.43	            | 3A 1A 2A 6A |
683.04/172.43	            | 2A 0A 1A 5A |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      3 Wk  / 2A 0A 2A -  \
683.04/172.43	            | -  1A -  3A |
683.04/172.43	            | -  5A -  -  |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	    [3, 2] |-> [3, 1]
683.04/172.43	     lhs                    rhs                   ge     gt
683.04/172.43	       Wk  / 4A 2A 3A 7A  \   Wk  / 2A 2A 2A 2A \   True   False
683.04/172.43	           | 4A 2A 3A 7A  |       | -  -  1A 3A |        
683.04/172.43	           | 8A 6A 7A 11A |       | -  -  5A -  |        
683.04/172.43	           \ -  -  -  0A  /       \ -  -  -  0A /        
683.04/172.43	    [3, 2] |-> [3]
683.04/172.43	     lhs                    rhs                   ge     gt
683.04/172.43	       Wk  / 4A 2A 3A 7A  \   Wk  / 2A 0A 2A -  \   True   True
683.04/172.43	           | 4A 2A 3A 7A  |       | -  1A -  3A |        
683.04/172.43	           | 8A 6A 7A 11A |       | -  5A -  -  |        
683.04/172.43	           \ -  -  -  0A  /       \ -  -  -  0A /        
683.04/172.43	    [0, 1] ->= []
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 0A 1A 1A 2A \   Wk  / 0A -  -  -  \   True   False
683.04/172.43	           | -  0A 1A 1A |       | -  0A -  -  |        
683.04/172.43	           | -  -  0A 0A |       | -  -  0A -  |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	    [0, 2] ->= [2, 2]
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 3A 1A 2A 6A \   Wk  / 2A 0A 1A 5A \   True   False
683.04/172.43	           | 4A 2A 3A 7A |       | 4A 2A 3A 7A |        
683.04/172.43	           | 3A 1A 2A 6A |       | 3A 1A 2A 6A |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	    [1, 2] ->= [0, 0, 1, 1]
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 3A 1A 2A 6A \   Wk  / 2A 1A 2A 3A \   True   False
683.04/172.43	           | 2A 0A 1A 5A |       | 2A 0A 1A 2A |        
683.04/172.43	           | 1A -  0A 1A |       | 1A -  0A 1A |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	   property Termination
683.04/172.43	has value True
683.04/172.43	for SRS ( [3, 2] |-> [3, 1], [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1])
683.04/172.43	reason
683.04/172.43	  EDG has 1 SCCs
683.04/172.43	   property Termination
683.04/172.43	has value True
683.04/172.43	for SRS ( [3, 2] |-> [3, 1], [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1])
683.04/172.43	reason
683.04/172.43	  Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
683.04/172.43	    interpretation
683.04/172.43	      0 Wk  / 1A 0A -  -  \
683.04/172.43	            | -  1A 0A 4A |
683.04/172.43	            | 0A -  -  -  |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      1 Wk  / -  -  0A 0A \
683.04/172.43	            | 0A -  -  0A |
683.04/172.43	            | -  0A -  -  |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      2 Wk  / 1A 3A 2A 5A \
683.04/172.43	            | -  1A 0A 1A |
683.04/172.43	            | 0A 2A 1A 4A |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	      3 Wk  / 2A 2A 2A -  \
683.04/172.43	            | -  -  -  -  |
683.04/172.43	            | -  -  -  -  |
683.04/172.43	            \ -  -  -  0A /
683.04/172.43	    [3, 2] |-> [3, 1]
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 3A 5A 4A 7A \   Wk  / 2A 2A 2A 2A \   True   True
683.04/172.43	           | -  -  -  -  |       | -  -  -  -  |        
683.04/172.43	           | -  -  -  -  |       | -  -  -  -  |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	    [0, 1] ->= []
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 0A -  1A 1A \   Wk  / 0A -  -  -  \   True   False
683.04/172.43	           | 1A 0A -  4A |       | -  0A -  -  |        
683.04/172.43	           | -  -  0A 0A |       | -  -  0A -  |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	    [0, 2] ->= [2, 2]
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 2A 4A 3A 6A \   Wk  / 2A 4A 3A 6A \   True   False
683.04/172.43	           | 0A 2A 1A 4A |       | 0A 2A 1A 4A |        
683.04/172.43	           | 1A 3A 2A 5A |       | 1A 3A 2A 5A |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	    [1, 2] ->= [0, 0, 1, 1]
683.04/172.43	     lhs                   rhs                   ge     gt
683.04/172.43	       Wk  / 0A 2A 1A 4A \   Wk  / 0A 2A 1A 4A \   True   False
683.04/172.43	           | 1A 3A 2A 5A |       | 1A 0A 2A 5A |        
683.04/172.43	           | -  1A 0A 1A |       | -  1A 0A 1A |        
683.04/172.43	           \ -  -  -  0A /       \ -  -  -  0A /        
683.04/172.43	   property Termination
683.04/172.43	has value True
683.04/172.43	for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2], [1, 2] ->= [0, 0, 1, 1])
683.04/172.43	reason
683.04/172.43	  EDG has 0 SCCs
683.04/172.43	
683.04/172.43	**************************************************
683.04/172.43	          summary
683.04/172.43	**************************************************
683.04/172.43	SRS with 3 rules on 3 letters       Remap   { tracing = False}
683.04/172.43	SRS with 3 rules on 3 letters       DP transform
683.04/172.43	SRS with 7 rules on 5 letters       Remap   { tracing = False}
683.04/172.43	SRS with 7 rules on 5 letters       weights
683.04/172.43	SRS with 5 rules on 4 letters       EDG
683.04/172.43	SRS with 5 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
683.04/172.43	SRS with 4 rules on 4 letters       EDG
683.04/172.43	SRS with 4 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
683.04/172.43	SRS with 3 rules on 3 letters       EDG
683.04/172.43	
683.04/172.43	**************************************************
683.25/172.44	(3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[]
683.25/172.44	**************************************************
683.25/172.45	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]}
683.25/172.45	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
683.72/172.93	EOF