56.76/14.38	YES
56.76/14.38	property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [b, b, b, b] -> [b, b, b, a], [a, b, a, a] -> [b, a, b, a], [b, a, a, b] -> [a, b, a, b])
56.76/14.38	reason
56.76/14.38	  remap for 3 rules
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] -> [0, 0, 0, 1], [1, 0, 1, 1] -> [0, 1, 0, 1], [0, 1, 1, 0] -> [1, 0, 1, 0])
56.76/14.38	reason
56.76/14.38	  reverse each lhs and rhs
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] -> [1, 0, 0, 0], [1, 1, 0, 1] -> [1, 0, 1, 0], [0, 1, 1, 0] -> [0, 1, 0, 1])
56.76/14.38	reason
56.76/14.38	  DP transform
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1], [0#, 0, 0, 0] |-> [1#, 0, 0, 0], [1#, 1, 0, 1] |-> [1#, 0, 1, 0], [1#, 1, 0, 1] |-> [0#, 1, 0], [1#, 1, 0, 1] |-> [1#, 0], [1#, 1, 0, 1] |-> [0#], [0#, 1, 1, 0] |-> [0#, 1, 0, 1], [0#, 1, 1, 0] |-> [1#, 0, 1], [0#, 1, 1, 0] |-> [0#, 1], [0#, 1, 1, 0] |-> [1#])
56.76/14.38	reason
56.76/14.38	  remap for 12 rules
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1], [2, 0, 0, 0] |-> [3, 0, 0, 0], [3, 1, 0, 1] |-> [3, 0, 1, 0], [3, 1, 0, 1] |-> [2, 1, 0], [3, 1, 0, 1] |-> [3, 0], [3, 1, 0, 1] |-> [2], [2, 1, 1, 0] |-> [2, 1, 0, 1], [2, 1, 1, 0] |-> [3, 0, 1], [2, 1, 1, 0] |-> [2, 1], [2, 1, 1, 0] |-> [3])
56.76/14.38	reason
56.76/14.38	  weights
56.76/14.38	    Map [(0, 2/1), (1, 2/1), (2, 1/1)]
56.76/14.38	  
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1], [3, 1, 0, 1] |-> [3, 0, 1, 0], [2, 1, 1, 0] |-> [2, 1, 0, 1])
56.76/14.38	reason
56.76/14.38	  EDG has 2 SCCs
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [3, 1, 0, 1] |-> [3, 0, 1, 0], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1])
56.76/14.38	reason
56.76/14.38	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
56.76/14.38	    interpretation
56.76/14.38	      0  / 0A 5A 5A 5A 5A \
56.76/14.38	         | 0A 0A 0A 5A 5A |
56.76/14.38	         | 0A 0A 0A 0A 5A |
56.76/14.38	         | 0A 0A 0A 0A 5A |
56.76/14.38	         \ 0A 0A 0A 0A 5A /
56.76/14.38	      1  / 5A 5A 5A 5A 5A \
56.76/14.38	         | 0A 5A 5A 5A 5A |
56.76/14.38	         | 0A 5A 5A 5A 5A |
56.76/14.38	         | 0A 0A 0A 5A 5A |
56.76/14.38	         \ 0A 0A 0A 0A 0A /
56.76/14.38	      3  / 47A 49A 50A 51A 51A \
56.76/14.38	         | 47A 49A 50A 51A 51A |
56.76/14.38	         | 47A 49A 50A 51A 51A |
56.76/14.38	         | 47A 49A 50A 51A 51A |
56.76/14.38	         \ 47A 49A 50A 51A 51A /
56.76/14.38	    [3, 1, 0, 1] |-> [3, 0, 1, 0]
56.76/14.38	     lhs                        rhs                        ge     gt
56.76/14.38	        / 61A 62A 62A 65A 65A \    / 59A 61A 61A 62A 64A \   True   True
56.76/14.38	        | 61A 62A 62A 65A 65A |    | 59A 61A 61A 62A 64A |        
56.76/14.38	        | 61A 62A 62A 65A 65A |    | 59A 61A 61A 62A 64A |        
56.76/14.38	        | 61A 62A 62A 65A 65A |    | 59A 61A 61A 62A 64A |        
56.76/14.38	        \ 61A 62A 62A 65A 65A /    \ 59A 61A 61A 62A 64A /        
56.76/14.38	    [0, 0, 0, 0] ->= [1, 0, 0, 0]
56.76/14.38	     lhs                        rhs                        ge     gt
56.76/14.38	        / 15A 15A 15A 15A 20A \    / 15A 15A 15A 15A 20A \   True   False
56.76/14.38	        | 15A 15A 15A 15A 20A |    | 15A 15A 15A 15A 20A |        
56.76/14.38	        | 15A 15A 15A 15A 20A |    | 15A 15A 15A 15A 20A |        
56.76/14.38	        | 15A 15A 15A 15A 20A |    | 15A 15A 15A 15A 20A |        
56.76/14.38	        \ 15A 15A 15A 15A 20A /    \ 10A 10A 10A 10A 15A /        
56.76/14.38	    [1, 1, 0, 1] ->= [1, 0, 1, 0]
56.76/14.38	     lhs                        rhs                        ge     gt
56.76/14.38	        / 15A 20A 20A 20A 20A \    / 15A 15A 15A 20A 20A \   True   False
56.76/14.38	        | 15A 15A 15A 20A 20A |    | 15A 15A 15A 15A 20A |        
56.76/14.38	        | 15A 15A 15A 20A 20A |    | 15A 15A 15A 15A 20A |        
56.76/14.38	        | 15A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
56.76/14.38	        \ 10A 15A 15A 15A 15A /    \ 10A 10A 10A 15A 15A /        
56.76/14.38	    [0, 1, 1, 0] ->= [0, 1, 0, 1]
56.76/14.38	     lhs                        rhs                        ge     gt
56.76/14.38	        / 15A 15A 15A 20A 20A \    / 15A 15A 15A 20A 20A \   True   False
56.76/14.38	        | 15A 15A 15A 15A 20A |    | 15A 15A 15A 15A 15A |        
56.76/14.38	        | 10A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
56.76/14.38	        | 10A 15A 15A 15A 15A |    | 10A 15A 15A 15A 15A |        
56.76/14.38	        \ 10A 15A 15A 15A 15A /    \ 10A 15A 15A 15A 15A /        
56.76/14.38	   property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1])
56.76/14.38	reason
56.76/14.38	  EDG has 0 SCCs
56.76/14.38	
56.76/14.38	property Termination
56.76/14.38	has value True
56.76/14.38	for SRS ( [2, 1, 1, 0] |-> [2, 1, 0, 1], [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1])
56.76/14.38	reason
56.76/14.38	  Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
56.76/14.38	    interpretation
56.93/14.39	      0 Wk  / -  0A -  0A \
56.93/14.39	            | 1A 1A 0A -  |
56.93/14.39	            | 0A 1A -  -  |
56.93/14.39	            \ -  -  -  0A /
56.93/14.39	      1 Wk  / 1A 0A -  1A \
56.93/14.39	            | -  -  -  0A |
56.93/14.39	            | 2A -  0A -  |
56.93/14.39	            \ -  -  -  0A /
56.93/14.39	      2 Wk  / 2A 3A 4A -  \
56.93/14.39	            | 1A 6A 4A -  |
56.93/14.39	            | -  -  -  -  |
56.93/14.39	            \ -  -  -  0A /
56.93/14.39	    [2, 1, 1, 0] |-> [2, 1, 0, 1]
56.93/14.39	     lhs                   rhs                   ge     gt
56.93/14.39	       Wk  / 7A 7A 6A 7A \   Wk  / 5A 4A 2A 6A \   True   True
56.93/14.39	           | 7A 7A 6A 7A |       | 5A 4A 1A 6A |        
56.93/14.39	           | -  -  -  -  |       | -  -  -  -  |        
56.93/14.39	           \ -  -  -  0A /       \ -  -  -  0A /        
56.93/14.39	    [0, 0, 0, 0] ->= [1, 0, 0, 0]
56.93/14.39	     lhs                   rhs                   ge     gt
56.93/14.39	       Wk  / 3A 3A 2A 2A \   Wk  / 3A 3A 2A 2A \   True   False
56.93/14.39	           | 4A 4A 3A 3A |       | -  -  -  0A |        
56.93/14.39	           | 4A 4A 3A 3A |       | 4A 4A 3A 3A |        
56.93/14.39	           \ -  -  -  0A /       \ -  -  -  0A /        
56.93/14.39	    [1, 1, 0, 1] ->= [1, 0, 1, 0]
56.93/14.39	     lhs                   rhs                   ge     gt
56.93/14.39	       Wk  / 3A 2A 1A 3A \   Wk  / 2A 2A 1A 2A \   True   False
56.93/14.39	           | -  -  -  0A |       | -  -  -  0A |        
56.93/14.39	           | 4A 3A 2A 4A |       | 1A 1A 0A 2A |        
56.93/14.39	           \ -  -  -  0A /       \ -  -  -  0A /        
56.93/14.39	    [0, 1, 1, 0] ->= [0, 1, 0, 1]
56.93/14.39	     lhs                   rhs                   ge     gt
56.93/14.39	       Wk  / -  -  -  0A \   Wk  / -  -  -  0A \   True   False
56.93/14.39	           | 3A 3A 2A 3A |       | 3A 2A 1A 3A |        
56.93/14.39	           | 2A 2A 1A 2A |       | 2A 1A 0A 2A |        
56.93/14.39	           \ -  -  -  0A /       \ -  -  -  0A /        
56.93/14.39	   property Termination
56.93/14.39	has value True
56.93/14.39	for SRS ( [0, 0, 0, 0] ->= [1, 0, 0, 0], [1, 1, 0, 1] ->= [1, 0, 1, 0], [0, 1, 1, 0] ->= [0, 1, 0, 1])
56.93/14.39	reason
56.93/14.39	  EDG has 0 SCCs
56.93/14.39	
56.93/14.39	**************************************************
56.93/14.39	          summary
56.93/14.39	**************************************************
56.93/14.39	SRS with 3 rules on 2 letters       Remap   { tracing = False}
56.93/14.39	SRS with 3 rules on 2 letters       reverse each lhs and rhs
56.93/14.39	SRS with 3 rules on 2 letters       DP transform
56.93/14.39	SRS with 12 rules on 4 letters       Remap   { tracing = False}
56.93/14.39	SRS with 12 rules on 4 letters       weights
56.93/14.39	SRS with 5 rules on 4 letters       EDG
56.93/14.39	2 sub-proofs
56.93/14.39	  1 SRS with 4 rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
56.93/14.39	  SRS with 3 rules on 2 letters       EDG
56.93/14.39	  
56.93/14.39	  2 SRS with 4 rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
56.93/14.39	  SRS with 3 rules on 2 letters       EDG
56.93/14.39	  
56.93/14.39	**************************************************
56.93/14.39	(3, 2)\Deepee(12, 4)\Weight(5, 4)\EDG[(4, 3)\Matrix{\Arctic}{5}(3, 2)\EDG[],(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[]]
56.93/14.39	**************************************************
56.93/14.42	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]}
56.93/14.42	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
57.23/14.54	EOF