45.73/11.61	YES
45.73/11.61	property Termination
45.73/11.61	has value True
45.73/11.61	for SRS ( [a, b, a, b] -> [b, b, a, a], [a, a, a, b] -> [a, a, b, a], [b, b, a, b] -> [b, a, b, b])
45.73/11.61	reason
45.73/11.61	  remap for 3 rules
45.73/11.61	   property Termination
45.73/11.61	has value True
45.73/11.61	for SRS ( [0, 1, 0, 1] -> [1, 1, 0, 0], [0, 0, 0, 1] -> [0, 0, 1, 0], [1, 1, 0, 1] -> [1, 0, 1, 1])
45.73/11.61	reason
45.73/11.61	  DP transform
45.73/11.61	   property Termination
45.73/11.61	has value True
45.73/11.61	for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1], [0#, 1, 0, 1] |-> [1#, 1, 0, 0], [0#, 1, 0, 1] |-> [1#, 0, 0], [0#, 1, 0, 1] |-> [0#, 0], [0#, 1, 0, 1] |-> [0#], [0#, 0, 0, 1] |-> [0#, 0, 1, 0], [0#, 0, 0, 1] |-> [0#, 1, 0], [0#, 0, 0, 1] |-> [1#, 0], [0#, 0, 0, 1] |-> [0#], [1#, 1, 0, 1] |-> [1#, 0, 1, 1], [1#, 1, 0, 1] |-> [0#, 1, 1], [1#, 1, 0, 1] |-> [1#, 1])
45.73/11.61	reason
45.73/11.61	  remap for 14 rules
45.73/11.61	   property Termination
45.73/11.61	has value True
45.73/11.62	for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1], [2, 1, 0, 1] |-> [3, 1, 0, 0], [2, 1, 0, 1] |-> [3, 0, 0], [2, 1, 0, 1] |-> [2, 0], [2, 1, 0, 1] |-> [2], [2, 0, 0, 1] |-> [2, 0, 1, 0], [2, 0, 0, 1] |-> [2, 1, 0], [2, 0, 0, 1] |-> [3, 0], [2, 0, 0, 1] |-> [2], [3, 1, 0, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 1, 1], [3, 1, 0, 1] |-> [3, 1])
45.73/11.62	reason
45.73/11.62	  weights
45.73/11.62	    Map [(0, 2/1), (1, 4/1), (3, 1/1)]
45.73/11.62	  
45.73/11.62	   property Termination
45.73/11.62	has value True
45.73/11.62	for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1], [2, 0, 0, 1] |-> [2, 0, 1, 0], [3, 1, 0, 1] |-> [3, 0, 1, 1])
45.73/11.62	reason
45.73/11.62	  EDG has 2 SCCs
45.73/11.62	   property Termination
45.73/11.62	has value True
45.73/11.62	for SRS ( [2, 0, 0, 1] |-> [2, 0, 1, 0], [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1])
45.73/11.62	reason
45.73/11.62	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
45.73/11.62	    interpretation
45.73/11.62	      0  / 9A 9A 12A \
45.73/11.62	         | 9A 9A 9A  |
45.73/11.62	         \ 6A 6A 9A  /
45.73/11.62	      1  / 3A 3A 6A \
45.73/11.62	         | 3A 3A 6A |
45.73/11.62	         \ 3A 3A 6A /
45.73/11.62	      2  / 10A 13A 13A \
45.73/11.62	         | 10A 13A 13A |
45.73/11.62	         \ 10A 13A 13A /
45.73/11.62	    [2, 0, 0, 1] |-> [2, 0, 1, 0]
45.73/11.62	     lhs                rhs                ge     gt
45.73/11.62	        / 37A 37A 40A \    / 34A 34A 37A \   True   True
45.73/11.62	        | 37A 37A 40A |    | 34A 34A 37A |        
45.73/11.62	        \ 37A 37A 40A /    \ 34A 34A 37A /        
45.73/11.62	    [0, 1, 0, 1] ->= [1, 1, 0, 0]
45.73/11.62	     lhs                rhs                ge     gt
45.73/11.62	        / 30A 30A 33A \    / 27A 27A 30A \   True   False
45.73/11.62	        | 27A 27A 30A |    | 27A 27A 30A |        
45.73/11.62	        \ 27A 27A 30A /    \ 27A 27A 30A /        
45.73/11.62	    [0, 0, 0, 1] ->= [0, 0, 1, 0]
45.73/11.62	     lhs                rhs                ge     gt
45.73/11.62	        / 33A 33A 36A \    / 33A 33A 36A \   True   False
45.73/11.62	        | 33A 33A 36A |    | 33A 33A 36A |        
45.73/11.62	        \ 30A 30A 33A /    \ 30A 30A 33A /        
45.73/11.62	    [1, 1, 0, 1] ->= [1, 0, 1, 1]
45.73/11.62	     lhs                rhs                ge     gt
45.73/11.62	        / 24A 24A 27A \    / 24A 24A 27A \   True   False
45.73/11.62	        | 24A 24A 27A |    | 24A 24A 27A |        
45.73/11.62	        \ 24A 24A 27A /    \ 24A 24A 27A /        
45.73/11.62	   property Termination
45.73/11.62	has value True
45.73/11.62	for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1])
45.73/11.62	reason
45.73/11.62	  EDG has 0 SCCs
45.73/11.62	
45.73/11.62	property Termination
45.73/11.62	has value True
45.73/11.62	for SRS ( [3, 1, 0, 1] |-> [3, 0, 1, 1], [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1])
45.73/11.62	reason
45.73/11.62	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
45.73/11.62	    interpretation
45.73/11.62	      0  / 10A 10A 15A 15A 15A \
45.73/11.62	         | 10A 10A 10A 15A 15A |
45.73/11.62	         | 10A 10A 10A 10A 15A |
45.73/11.62	         | 5A  5A  10A 10A 10A |
45.73/11.62	         \ 5A  5A  10A 10A 10A /
45.73/11.62	      1  / 0A  0A  0A  0A 5A \
45.73/11.62	         | -5A 0A  0A  0A 0A |
45.73/11.62	         | -5A 0A  0A  0A 0A |
45.73/11.62	         | -5A 0A  0A  0A 0A |
45.73/11.62	         \ -5A -5A -5A 0A 0A /
45.73/11.62	      3  / 41A 41A 41A 42A 42A \
45.73/11.62	         | 41A 41A 41A 42A 42A |
45.73/11.62	         | 41A 41A 41A 42A 42A |
45.73/11.62	         | 41A 41A 41A 42A 42A |
45.73/11.62	         \ 41A 41A 41A 42A 42A /
45.73/11.62	    [3, 1, 0, 1] |-> [3, 0, 1, 1]
45.73/11.62	     lhs                        rhs                        ge     gt
45.73/11.62	        / 52A 57A 57A 57A 57A \    / 51A 56A 56A 56A 56A \   True   True
45.73/11.62	        | 52A 57A 57A 57A 57A |    | 51A 56A 56A 56A 56A |        
45.73/11.62	        | 52A 57A 57A 57A 57A |    | 51A 56A 56A 56A 56A |        
45.73/11.62	        | 52A 57A 57A 57A 57A |    | 51A 56A 56A 56A 56A |        
45.73/11.62	        \ 52A 57A 57A 57A 57A /    \ 51A 56A 56A 56A 56A /        
45.73/11.62	    [0, 1, 0, 1] ->= [1, 1, 0, 0]
45.73/11.62	     lhs                        rhs                        ge     gt
45.73/11.62	        / 25A 30A 30A 30A 30A \    / 25A 25A 25A 25A 30A \   True   False
45.73/11.62	        | 25A 30A 30A 30A 30A |    | 20A 20A 25A 25A 25A |        
45.73/11.62	        | 20A 25A 25A 25A 25A |    | 20A 20A 25A 25A 25A |        
45.73/11.62	        | 20A 25A 25A 25A 25A |    | 20A 20A 25A 25A 25A |        
45.73/11.62	        \ 20A 25A 25A 25A 25A /    \ 20A 20A 25A 25A 25A /        
45.73/11.62	    [0, 0, 0, 1] ->= [0, 0, 1, 0]
45.73/11.62	     lhs                        rhs                        ge     gt
45.73/11.62	        / 35A 40A 40A 40A 40A \    / 35A 35A 40A 40A 40A \   True   False
45.73/11.62	        | 35A 35A 35A 40A 40A |    | 35A 35A 35A 40A 40A |        
45.73/11.62	        | 35A 35A 35A 40A 40A |    | 35A 35A 35A 40A 40A |        
45.73/11.62	        | 30A 35A 35A 35A 35A |    | 30A 30A 35A 35A 35A |        
45.73/11.62	        \ 30A 35A 35A 35A 35A /    \ 30A 30A 35A 35A 35A /        
45.73/11.62	    [1, 1, 0, 1] ->= [1, 0, 1, 1]
45.73/11.62	     lhs                        rhs                        ge     gt
45.73/11.62	        / 10A 15A 15A 15A 15A \    / 10A 15A 15A 15A 15A \   True   False
45.73/11.62	        | 10A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
45.73/11.62	        | 10A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
45.73/11.62	        | 10A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
45.73/11.62	        \ 10A 15A 15A 15A 15A /    \ 5A  10A 10A 10A 10A /        
45.73/11.62	   property Termination
45.73/11.62	has value True
45.73/11.62	for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 0], [0, 0, 0, 1] ->= [0, 0, 1, 0], [1, 1, 0, 1] ->= [1, 0, 1, 1])
45.73/11.62	reason
45.73/11.62	  EDG has 0 SCCs
45.73/11.62	
45.73/11.62	**************************************************
45.73/11.62	          summary
45.73/11.62	**************************************************
45.73/11.62	SRS with 3 rules on 2 letters       Remap   { tracing = False}
45.73/11.62	SRS with 3 rules on 2 letters       DP transform
45.73/11.62	SRS with 14 rules on 4 letters       Remap   { tracing = False}
45.73/11.62	SRS with 14 rules on 4 letters       weights
45.73/11.62	SRS with 5 rules on 4 letters       EDG
45.73/11.62	2 sub-proofs
45.73/11.62	  1 SRS with 4 rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
45.73/11.62	  SRS with 3 rules on 2 letters       EDG
45.73/11.62	  
45.73/11.62	  2 SRS with 4 rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
45.73/11.62	  SRS with 3 rules on 2 letters       EDG
45.73/11.62	  
45.73/11.62	**************************************************
45.73/11.62	(3, 2)\Deepee(14, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{3}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{5}(3, 2)\EDG[]]
45.73/11.62	**************************************************
45.73/11.65	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]}
45.73/11.65	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
46.17/11.80	EOF