25.31/6.48	YES
25.31/6.48	property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [a] -> [], [a, a, b] -> [b, a, b, a], [b, b] -> [c, a])
25.31/6.48	reason
25.31/6.48	  remap for 3 rules
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] -> [], [0, 0, 1] -> [1, 0, 1, 0], [1, 1] -> [2, 0])
25.31/6.48	reason
25.31/6.48	  reverse each lhs and rhs
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] -> [], [1, 0, 0] -> [0, 1, 0, 1], [1, 1] -> [0, 2])
25.31/6.48	reason
25.31/6.48	  DP transform
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2], [1#, 0, 0] |-> [0#, 1, 0, 1], [1#, 0, 0] |-> [1#, 0, 1], [1#, 0, 0] |-> [0#, 1], [1#, 0, 0] |-> [1#], [1#, 1] |-> [0#, 2])
25.31/6.48	reason
25.31/6.48	  remap for 8 rules
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2], [3, 0, 0] |-> [4, 1, 0, 1], [3, 0, 0] |-> [3, 0, 1], [3, 0, 0] |-> [4, 1], [3, 0, 0] |-> [3], [3, 1] |-> [4, 2])
25.31/6.48	reason
25.31/6.48	  weights
25.31/6.48	    Map [(3, 3/1)]
25.31/6.48	  
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2], [3, 0, 0] |-> [3, 0, 1], [3, 0, 0] |-> [3])
25.31/6.48	reason
25.31/6.48	  EDG has 1 SCCs
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [3, 0, 0] |-> [3, 0, 1], [3, 0, 0] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2])
25.31/6.48	reason
25.31/6.48	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
25.31/6.48	    interpretation
25.31/6.48	      0  / 0A  0A  0A 5A 5A \
25.31/6.48	         | 0A  0A  0A 5A 5A |
25.31/6.48	         | 0A  0A  0A 0A 5A |
25.31/6.48	         | -5A 0A  0A 0A 0A |
25.31/6.48	         \ -5A -5A 0A 0A 0A /
25.31/6.48	      1  / 0A  0A  0A  0A  5A \
25.31/6.48	         | 0A  0A  0A  0A  0A |
25.31/6.48	         | -5A 0A  0A  0A  0A |
25.31/6.48	         | -5A -5A -5A -5A 0A |
25.31/6.48	         \ -5A -5A -5A -5A 0A /
25.31/6.48	      2  / 0A  0A  0A  0A  0A  \
25.31/6.48	         | -5A -5A -5A -5A 0A  |
25.31/6.48	         | -5A -5A -5A -5A 0A  |
25.31/6.48	         | -5A -5A -5A -5A 0A  |
25.31/6.48	         \ -5A -5A -5A -5A -5A /
25.31/6.48	      3  / 16A 16A 20A 21A 21A \
25.31/6.48	         | 16A 16A 20A 21A 21A |
25.31/6.48	         | 16A 16A 20A 21A 21A |
25.31/6.48	         | 16A 16A 20A 21A 21A |
25.31/6.48	         \ 16A 16A 20A 21A 21A /
25.31/6.48	    [3, 0, 0] |-> [3, 0, 1]
25.31/6.48	     lhs                        rhs                        ge     gt
25.31/6.48	        / 21A 21A 25A 26A 26A \    / 21A 21A 21A 21A 25A \   True   False
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 21A 21A 21A 21A 25A |        
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 21A 21A 21A 21A 25A |        
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 21A 21A 21A 21A 25A |        
25.31/6.48	        \ 21A 21A 25A 26A 26A /    \ 21A 21A 21A 21A 25A /        
25.31/6.48	    [3, 0, 0] |-> [3]
25.31/6.48	     lhs                        rhs                        ge     gt
25.31/6.48	        / 21A 21A 25A 26A 26A \    / 16A 16A 20A 21A 21A \   True   True
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 16A 16A 20A 21A 21A |        
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 16A 16A 20A 21A 21A |        
25.31/6.48	        | 21A 21A 25A 26A 26A |    | 16A 16A 20A 21A 21A |        
25.31/6.48	        \ 21A 21A 25A 26A 26A /    \ 16A 16A 20A 21A 21A /        
25.31/6.48	    [0] ->= []
25.31/6.48	     lhs                     rhs                   ge     gt
25.31/6.48	        / 0A  0A  0A 5A 5A \    / 0A -  -  -  -  \   True   False
25.31/6.48	        | 0A  0A  0A 5A 5A |    | -  0A -  -  -  |        
25.31/6.48	        | 0A  0A  0A 0A 5A |    | -  -  0A -  -  |        
25.31/6.48	        | -5A 0A  0A 0A 0A |    | -  -  -  0A -  |        
25.31/6.48	        \ -5A -5A 0A 0A 0A /    \ -  -  -  -  0A /        
25.31/6.48	    [1, 0, 0] ->= [0, 1, 0, 1]
25.31/6.48	     lhs                    rhs                   ge     gt
25.31/6.48	        / 5A 5A 5A 5A 10A \    / 0A 5A 5A 5A 5A \   True   False
25.31/6.48	        | 0A 5A 5A 5A 5A  |    | 0A 5A 5A 5A 5A |        
25.31/6.48	        | 0A 5A 5A 5A 5A  |    | 0A 5A 5A 5A 5A |        
25.31/6.48	        | 0A 0A 0A 0A 5A  |    | 0A 0A 0A 0A 5A |        
25.31/6.48	        \ 0A 0A 0A 0A 5A  /    \ 0A 0A 0A 0A 5A /        
25.31/6.48	    [1, 1] ->= [0, 2]
25.31/6.48	     lhs                       rhs                       ge     gt
25.31/6.48	        / 0A  0A  0A  0A  5A \    / 0A  0A  0A  0A  5A \   True   False
25.31/6.48	        | 0A  0A  0A  0A  5A |    | 0A  0A  0A  0A  5A |        
25.31/6.48	        | 0A  0A  0A  0A  0A |    | 0A  0A  0A  0A  0A |        
25.31/6.48	        | -5A -5A -5A -5A 0A |    | -5A -5A -5A -5A 0A |        
25.31/6.48	        \ -5A -5A -5A -5A 0A /    \ -5A -5A -5A -5A 0A /        
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [3, 0, 0] |-> [3, 0, 1], [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2])
25.31/6.48	reason
25.31/6.48	  EDG has 1 SCCs
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [3, 0, 0] |-> [3, 0, 1], [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2])
25.31/6.48	reason
25.31/6.48	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
25.31/6.48	    interpretation
25.31/6.48	      0  / 0A  0A  0A 5A 5A \
25.31/6.48	         | 0A  0A  0A 5A 5A |
25.31/6.48	         | 0A  0A  0A 0A 5A |
25.31/6.48	         | -5A 0A  0A 0A 0A |
25.31/6.48	         \ -5A -5A 0A 0A 0A /
25.31/6.48	      1  / 0A  0A  0A  0A  5A \
25.31/6.48	         | 0A  0A  0A  0A  0A |
25.31/6.48	         | -5A 0A  0A  0A  0A |
25.31/6.48	         | -5A -5A -5A -5A 0A |
25.31/6.48	         \ -5A -5A -5A -5A 0A /
25.31/6.48	      2  / 0A  0A  0A  0A  0A  \
25.31/6.48	         | -5A -5A -5A -5A 0A  |
25.31/6.48	         | -5A -5A -5A -5A -5A |
25.31/6.48	         | -5A -5A -5A -5A -5A |
25.31/6.48	         \ -5A -5A -5A -5A -5A /
25.31/6.48	      3  / 36A 36A 36A 36A 40A \
25.31/6.48	         | 36A 36A 36A 36A 40A |
25.31/6.48	         | 36A 36A 36A 36A 40A |
25.31/6.48	         | 36A 36A 36A 36A 40A |
25.31/6.48	         \ 36A 36A 36A 36A 40A /
25.31/6.48	    [3, 0, 0] |-> [3, 0, 1]
25.31/6.48	     lhs                        rhs                        ge     gt
25.31/6.48	        / 40A 41A 41A 41A 45A \    / 36A 40A 40A 40A 41A \   True   True
25.31/6.48	        | 40A 41A 41A 41A 45A |    | 36A 40A 40A 40A 41A |        
25.31/6.48	        | 40A 41A 41A 41A 45A |    | 36A 40A 40A 40A 41A |        
25.31/6.48	        | 40A 41A 41A 41A 45A |    | 36A 40A 40A 40A 41A |        
25.31/6.48	        \ 40A 41A 41A 41A 45A /    \ 36A 40A 40A 40A 41A /        
25.31/6.48	    [0] ->= []
25.31/6.48	     lhs                     rhs                   ge     gt
25.31/6.48	        / 0A  0A  0A 5A 5A \    / 0A -  -  -  -  \   True   False
25.31/6.48	        | 0A  0A  0A 5A 5A |    | -  0A -  -  -  |        
25.31/6.48	        | 0A  0A  0A 0A 5A |    | -  -  0A -  -  |        
25.31/6.48	        | -5A 0A  0A 0A 0A |    | -  -  -  0A -  |        
25.31/6.48	        \ -5A -5A 0A 0A 0A /    \ -  -  -  -  0A /        
25.31/6.48	    [1, 0, 0] ->= [0, 1, 0, 1]
25.31/6.48	     lhs                    rhs                   ge     gt
25.31/6.48	        / 5A 5A 5A 5A 10A \    / 0A 5A 5A 5A 5A \   True   False
25.31/6.48	        | 0A 5A 5A 5A 5A  |    | 0A 5A 5A 5A 5A |        
25.31/6.48	        | 0A 5A 5A 5A 5A  |    | 0A 5A 5A 5A 5A |        
25.31/6.48	        | 0A 0A 0A 0A 5A  |    | 0A 0A 0A 0A 5A |        
25.31/6.48	        \ 0A 0A 0A 0A 5A  /    \ 0A 0A 0A 0A 5A /        
25.31/6.48	    [1, 1] ->= [0, 2]
25.31/6.48	     lhs                       rhs                        ge     gt
25.31/6.48	        / 0A  0A  0A  0A  5A \    / 0A  0A  0A  0A  0A  \   True   False
25.31/6.48	        | 0A  0A  0A  0A  5A |    | 0A  0A  0A  0A  0A  |        
25.31/6.48	        | 0A  0A  0A  0A  0A |    | 0A  0A  0A  0A  0A  |        
25.31/6.48	        | -5A -5A -5A -5A 0A |    | -5A -5A -5A -5A 0A  |        
25.31/6.48	        \ -5A -5A -5A -5A 0A /    \ -5A -5A -5A -5A -5A /        
25.31/6.48	   property Termination
25.31/6.48	has value True
25.31/6.48	for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 1, 0, 1], [1, 1] ->= [0, 2])
25.31/6.48	reason
25.31/6.48	  EDG has 0 SCCs
25.31/6.48	
25.31/6.48	**************************************************
25.31/6.48	          summary
25.31/6.48	**************************************************
25.31/6.49	SRS with 3 rules on 3 letters       Remap   { tracing = False}
25.31/6.49	SRS with 3 rules on 3 letters       reverse each lhs and rhs
25.31/6.49	SRS with 3 rules on 3 letters       DP transform
25.31/6.49	SRS with 8 rules on 5 letters       Remap   { tracing = False}
25.31/6.49	SRS with 8 rules on 5 letters       weights
25.31/6.49	SRS with 5 rules on 4 letters       EDG
25.31/6.49	SRS with 5 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
25.31/6.49	SRS with 4 rules on 4 letters       EDG
25.31/6.49	SRS with 4 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True}
25.31/6.49	SRS with 3 rules on 3 letters       EDG
25.31/6.49	
25.31/6.49	**************************************************
25.31/6.49	(3, 3)\Deepee(8, 5)\Weight(5, 4)\Matrix{\Arctic}{5}(4, 4)\Matrix{\Arctic}{5}(3, 3)\EDG[]
25.31/6.49	**************************************************
25.68/6.50	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]}
25.68/6.50	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
25.68/6.57	EOF