311.55/78.70	YES
311.55/78.70	property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [a] -> [], [a, b] -> [c, a], [c, c] -> [b, c, b, a])
311.55/78.70	reason
311.55/78.70	  remap for 3 rules
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [0] -> [], [0, 1] -> [2, 0], [2, 2] -> [1, 2, 1, 0])
311.55/78.70	reason
311.55/78.70	  reverse each lhs and rhs
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [0] -> [], [1, 0] -> [0, 2], [2, 2] -> [0, 1, 2, 1])
311.55/78.70	reason
311.55/78.70	  DP transform
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1], [1#, 0] |-> [0#, 2], [1#, 0] |-> [2#], [2#, 2] |-> [0#, 1, 2, 1], [2#, 2] |-> [1#, 2, 1], [2#, 2] |-> [2#, 1], [2#, 2] |-> [1#])
311.55/78.70	reason
311.55/78.70	  remap for 9 rules
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1], [3, 0] |-> [4, 2], [3, 0] |-> [5], [5, 2] |-> [4, 1, 2, 1], [5, 2] |-> [3, 2, 1], [5, 2] |-> [5, 1], [5, 2] |-> [3])
311.55/78.70	reason
311.55/78.70	  weights
311.55/78.70	    Map [(3, 1/2), (5, 1/2)]
311.55/78.70	  
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1], [3, 0] |-> [5], [5, 2] |-> [3, 2, 1], [5, 2] |-> [5, 1], [5, 2] |-> [3])
311.55/78.70	reason
311.55/78.70	  EDG has 1 SCCs
311.55/78.70	   property Termination
311.55/78.70	has value True
311.55/78.70	for SRS ( [3, 0] |-> [5], [5, 2] |-> [3], [5, 2] |-> [5, 1], [5, 2] |-> [3, 2, 1], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1])
311.55/78.70	reason
311.55/78.70	  Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
311.55/78.70	    interpretation
311.55/78.70	      0 Wk  / 0A 3A -  -  \
311.55/78.70	            | 0A 0A 0A 3A |
311.55/78.70	            | 0A 0A 3A 4A |
311.55/78.70	            \ -  -  -  0A /
311.55/78.70	      1 Wk  / 3A - 3A -  \
311.55/78.70	            | -  - 0A -  |
311.55/78.70	            | 0A - 0A -  |
311.55/78.70	            \ -  - -  0A /
311.55/78.70	      2 Wk  / -  0A -  0A \
311.55/78.70	            | 0A 0A 3A 4A |
311.55/78.70	            | -  0A -  1A |
311.55/78.70	            \ -  -  -  0A /
311.55/78.70	      3 Wk  / -  - 3A 6A \
311.55/78.70	            | 0A - -  1A |
311.55/78.70	            | -  - -  -  |
311.55/78.70	            \ -  - -  0A /
311.55/78.70	      5 Wk  / - 1A 1A 6A \
311.55/78.70	            | - 2A -  0A |
311.55/78.70	            | - -  -  -  |
311.55/78.70	            \ - -  -  0A /
311.55/78.70	    [3, 0] |-> [5]
311.55/78.70	     lhs                   rhs                  ge     gt
311.55/78.70	       Wk  / 3A 3A 6A 7A \   Wk  / - 1A 1A 6A \   True   True
311.55/78.70	           | 0A 3A -  1A |       | - 2A -  0A |        
311.55/78.70	           | -  -  -  -  |       | - -  -  -  |        
311.55/78.70	           \ -  -  -  0A /       \ - -  -  0A /        
311.55/78.70	    [5, 2] |-> [3]
311.55/78.70	     lhs                   rhs                  ge     gt
311.55/78.70	       Wk  / 1A 1A 4A 6A \   Wk  / -  - 3A 6A \   True   False
311.55/78.70	           | 2A 2A 5A 6A |       | 0A - -  1A |        
311.55/78.70	           | -  -  -  -  |       | -  - -  -  |        
311.55/78.70	           \ -  -  -  0A /       \ -  - -  0A /        
311.55/78.70	    [5, 2] |-> [5, 1]
311.55/78.70	     lhs                   rhs                  ge     gt
311.55/78.70	       Wk  / 1A 1A 4A 6A \   Wk  / 1A - 1A 6A \   True   False
311.55/78.70	           | 2A 2A 5A 6A |       | -  - 2A 0A |        
311.55/78.70	           | -  -  -  -  |       | -  - -  -  |        
311.55/78.70	           \ -  -  -  0A /       \ -  - -  0A /        
311.55/78.70	    [5, 2] |-> [3, 2, 1]
311.55/78.70	     lhs                   rhs                 ge     gt
311.55/78.70	       Wk  / 1A 1A 4A 6A \   Wk  / - - 3A 6A \   True   False
311.55/78.70	           | 2A 2A 5A 6A |       | - - 0A 1A |        
311.55/78.70	           | -  -  -  -  |       | - - -  -  |        
311.55/78.70	           \ -  -  -  0A /       \ - - -  0A /        
311.55/78.70	    [0] ->= []
311.55/78.71	     lhs                   rhs                   ge     gt
311.55/78.71	       Wk  / 0A 3A -  -  \   Wk  / 0A -  -  -  \   True   False
311.55/78.71	           | 0A 0A 0A 3A |       | -  0A -  -  |        
311.55/78.71	           | 0A 0A 3A 4A |       | -  -  0A -  |        
311.55/78.71	           \ -  -  -  0A /       \ -  -  -  0A /        
311.55/78.71	    [1, 0] ->= [0, 2]
311.55/78.71	     lhs                   rhs                   ge     gt
311.55/78.71	       Wk  / 3A 6A 6A 7A \   Wk  / 3A 3A 6A 7A \   True   False
311.55/78.71	           | 0A 0A 3A 4A |       | 0A 0A 3A 4A |        
311.55/78.71	           | 0A 3A 3A 4A |       | 0A 3A 3A 4A |        
311.55/78.71	           \ -  -  -  0A /       \ -  -  -  0A /        
311.55/78.71	    [2, 2] ->= [0, 1, 2, 1]
311.55/78.71	     lhs                   rhs                 ge     gt
311.55/78.71	       Wk  / 0A 0A 3A 4A \   Wk  / - - 3A 4A \   True   False
311.55/78.71	           | 0A 3A 3A 4A |       | - - 3A 4A |        
311.55/78.71	           | 0A 0A 3A 4A |       | - - 3A 4A |        
311.55/78.71	           \ -  -  -  0A /       \ - - -  0A /        
311.55/78.71	   property Termination
311.55/78.71	has value True
311.55/78.71	for SRS ( [5, 2] |-> [3], [5, 2] |-> [5, 1], [5, 2] |-> [3, 2, 1], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1])
311.55/78.71	reason
311.55/78.71	  weights
311.55/78.71	    Map [(5, 2/1)]
311.55/78.71	  
311.55/78.71	   property Termination
311.55/78.71	has value True
311.55/78.71	for SRS ( [5, 2] |-> [5, 1], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1])
311.55/78.71	reason
311.55/78.71	  EDG has 1 SCCs
311.55/78.71	   property Termination
311.55/78.71	has value True
311.55/78.71	for SRS ( [5, 2] |-> [5, 1], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1])
311.55/78.71	reason
311.55/78.71	  Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
311.55/78.71	    interpretation
311.55/78.71	      0 Wk  / 0A -  0A 1A \
311.55/78.71	            | 3A 0A -  -  |
311.55/78.71	            | 0A 0A 3A 4A |
311.55/78.71	            \ -  -  -  0A /
311.55/78.71	      1 Wk  / - -  0A 0A \
311.55/78.71	            | - 2A 3A -  |
311.55/78.71	            | - 0A 0A -  |
311.55/78.71	            \ - -  -  0A /
311.55/78.71	      2 Wk  / 0A 0A 3A 4A \
311.55/78.71	            | 0A -  -  0A |
311.55/78.71	            | 0A -  -  0A |
311.55/78.71	            \ -  -  -  0A /
311.55/78.71	      5 Wk  / 0A - - 1A \
311.55/78.71	            | 2A - - -  |
311.55/78.71	            | -  - - -  |
311.55/78.71	            \ -  - - 0A /
311.55/78.71	    [5, 2] |-> [5, 1]
311.55/78.71	     lhs                   rhs                 ge     gt
311.55/78.71	       Wk  / 0A 0A 3A 4A \   Wk  / - - 0A 1A \   True   True
311.55/78.71	           | 2A 2A 5A 6A |       | - - 2A 2A |        
311.55/78.71	           | -  -  -  -  |       | - - -  -  |        
311.55/78.71	           \ -  -  -  0A /       \ - - -  0A /        
311.55/78.71	    [0] ->= []
311.55/78.71	     lhs                   rhs                   ge     gt
311.55/78.71	       Wk  / 0A -  0A 1A \   Wk  / 0A -  -  -  \   True   False
311.55/78.71	           | 3A 0A -  -  |       | -  0A -  -  |        
311.55/78.71	           | 0A 0A 3A 4A |       | -  -  0A -  |        
311.55/78.71	           \ -  -  -  0A /       \ -  -  -  0A /        
311.55/78.71	    [1, 0] ->= [0, 2]
311.55/78.71	     lhs                   rhs                   ge     gt
311.55/78.71	       Wk  / 0A 0A 3A 4A \   Wk  / 0A 0A 3A 4A \   True   False
311.55/78.71	           | 5A 3A 6A 7A |       | 3A 3A 6A 7A |        
311.55/78.71	           | 3A 0A 3A 4A |       | 3A 0A 3A 4A |        
311.55/78.71	           \ -  -  -  0A /       \ -  -  -  0A /        
311.55/78.71	    [2, 2] ->= [0, 1, 2, 1]
311.55/78.71	     lhs                   rhs                 ge     gt
311.55/78.71	       Wk  / 3A 0A 3A 4A \   Wk  / - - 0A 1A \   True   False
311.55/78.71	           | 0A 0A 3A 4A |       | - - 3A 3A |        
311.55/78.71	           | 0A 0A 3A 4A |       | - - 3A 4A |        
311.55/78.71	           \ -  -  -  0A /       \ - - -  0A /        
311.55/78.71	   property Termination
311.55/78.71	has value True
311.55/78.71	for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1])
311.55/78.71	reason
311.55/78.71	  EDG has 0 SCCs
311.55/78.71	
311.55/78.71	**************************************************
311.55/78.71	          summary
311.55/78.71	**************************************************
311.55/78.71	SRS with 3 rules on 3 letters       Remap   { tracing = False}
311.55/78.71	SRS with 3 rules on 3 letters       reverse each lhs and rhs
311.55/78.71	SRS with 3 rules on 3 letters       DP transform
311.55/78.71	SRS with 9 rules on 6 letters       Remap   { tracing = False}
311.55/78.72	SRS with 9 rules on 6 letters       weights
311.55/78.72	SRS with 7 rules on 5 letters       EDG
311.55/78.72	SRS with 7 rules on 5 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
311.55/78.72	SRS with 6 rules on 5 letters       weights
311.55/78.72	SRS with 4 rules on 4 letters       EDG
311.55/78.72	SRS with 4 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
311.55/78.72	SRS with 3 rules on 3 letters       EDG
311.55/78.72	
311.55/78.72	**************************************************
311.55/78.72	(3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[]
311.55/78.72	**************************************************
311.55/78.73	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]}
311.55/78.73	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
311.87/78.83	EOF