32.83/8.30	YES
32.83/8.30	property Termination
32.83/8.30	has value True
32.83/8.31	for SRS ( [a, b, b, b] -> [b, a, b, a], [a, b, b, b] -> [a, a, a, b], [b, a, a, b] -> [b, b, a, b], [b, a, a, a] -> [a, a, a, b])
32.83/8.31	reason
32.83/8.31	  remap for 4 rules
32.83/8.31	   property Termination
32.83/8.31	has value True
32.83/8.32	for SRS ( [0, 1, 1, 1] -> [1, 0, 1, 0], [0, 1, 1, 1] -> [0, 0, 0, 1], [1, 0, 0, 1] -> [1, 1, 0, 1], [1, 0, 0, 0] -> [0, 0, 0, 1])
32.83/8.32	reason
32.83/8.32	  DP transform
32.83/8.32	   property Termination
32.83/8.32	has value True
32.83/8.36	for SRS ( [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1], [0#, 1, 1, 1] |-> [1#, 0, 1, 0], [0#, 1, 1, 1] |-> [0#, 1, 0], [0#, 1, 1, 1] |-> [1#, 0], [0#, 1, 1, 1] |-> [0#], [0#, 1, 1, 1] |-> [0#, 0, 0, 1], [0#, 1, 1, 1] |-> [0#, 0, 1], [0#, 1, 1, 1] |-> [0#, 1], [1#, 0, 0, 1] |-> [1#, 1, 0, 1], [1#, 0, 0, 1] |-> [1#, 0, 1], [1#, 0, 0, 0] |-> [0#, 0, 0, 1], [1#, 0, 0, 0] |-> [0#, 0, 1], [1#, 0, 0, 0] |-> [0#, 1], [1#, 0, 0, 0] |-> [1#])
32.83/8.36	reason
32.83/8.36	  remap for 17 rules
32.83/8.36	   property Termination
32.83/8.36	has value True
33.24/8.49	for SRS ( [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1], [2, 1, 1, 1] |-> [3, 0, 1, 0], [2, 1, 1, 1] |-> [2, 1, 0], [2, 1, 1, 1] |-> [3, 0], [2, 1, 1, 1] |-> [2], [2, 1, 1, 1] |-> [2, 0, 0, 1], [2, 1, 1, 1] |-> [2, 0, 1], [2, 1, 1, 1] |-> [2, 1], [3, 0, 0, 1] |-> [3, 1, 0, 1], [3, 0, 0, 1] |-> [3, 0, 1], [3, 0, 0, 0] |-> [2, 0, 0, 1], [3, 0, 0, 0] |-> [2, 0, 1], [3, 0, 0, 0] |-> [2, 1], [3, 0, 0, 0] |-> [3])
33.24/8.49	reason
33.24/8.49	  weights
33.24/8.49	    Map [(0, 1/16), (1, 1/16)]
33.24/8.49	  
33.24/8.49	   property Termination
33.24/8.49	has value True
33.61/8.51	for SRS ( [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1], [2, 1, 1, 1] |-> [3, 0, 1, 0], [2, 1, 1, 1] |-> [2, 0, 0, 1], [3, 0, 0, 1] |-> [3, 1, 0, 1], [3, 0, 0, 0] |-> [2, 0, 0, 1])
33.61/8.51	reason
33.61/8.52	  EDG has 1 SCCs
33.61/8.52	   property Termination
33.61/8.52	has value True
33.61/8.53	for SRS ( [2, 1, 1, 1] |-> [3, 0, 1, 0], [3, 0, 0, 0] |-> [2, 0, 0, 1], [2, 1, 1, 1] |-> [2, 0, 0, 1], [3, 0, 0, 1] |-> [3, 1, 0, 1], [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1])
33.61/8.53	reason
33.61/8.53	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
33.61/8.53	    interpretation
33.61/8.53	      0  / 6A 6A 9A \
33.61/8.53	         | 6A 6A 6A |
33.61/8.53	         \ 3A 6A 6A /
33.61/8.53	      1  / 9A 9A 9A \
33.61/8.53	         | 9A 9A 9A |
33.61/8.53	         \ 6A 6A 6A /
33.61/8.53	      2  / 4A 7A 7A \
33.61/8.53	         | 4A 7A 7A |
33.61/8.53	         \ 4A 7A 7A /
33.61/8.53	      3  / 10A 10A 10A \
33.61/8.53	         | 10A 10A 10A |
33.61/8.53	         \ 10A 10A 10A /
33.61/8.53	    [2, 1, 1, 1] |-> [3, 0, 1, 0]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 34A 34A 34A \    / 31A 31A 34A \   True   False
33.61/8.53	        | 34A 34A 34A |    | 31A 31A 34A |        
33.61/8.53	        \ 34A 34A 34A /    \ 31A 31A 34A /        
33.61/8.53	    [3, 0, 0, 0] |-> [2, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 31A 31A 31A \    / 28A 28A 28A \   True   True
33.61/8.53	        | 31A 31A 31A |    | 28A 28A 28A |        
33.61/8.53	        \ 31A 31A 31A /    \ 28A 28A 28A /        
33.61/8.53	    [2, 1, 1, 1] |-> [2, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 34A 34A 34A \    / 28A 28A 28A \   True   True
33.61/8.53	        | 34A 34A 34A |    | 28A 28A 28A |        
33.61/8.53	        \ 34A 34A 34A /    \ 28A 28A 28A /        
33.61/8.53	    [3, 0, 0, 1] |-> [3, 1, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 34A 34A 34A \    / 34A 34A 34A \   True   False
33.61/8.53	        | 34A 34A 34A |    | 34A 34A 34A |        
33.61/8.53	        \ 34A 34A 34A /    \ 34A 34A 34A /        
33.61/8.53	    [0, 1, 1, 1] ->= [1, 0, 1, 0]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 33A 33A 33A \    / 30A 30A 33A \   True   False
33.61/8.53	        | 33A 33A 33A |    | 30A 30A 33A |        
33.61/8.53	        \ 33A 33A 33A /    \ 27A 27A 30A /        
33.61/8.53	    [0, 1, 1, 1] ->= [0, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 33A 33A 33A \    / 30A 30A 30A \   True   True
33.61/8.53	        | 33A 33A 33A |    | 30A 30A 30A |        
33.61/8.53	        \ 33A 33A 33A /    \ 27A 27A 27A /        
33.61/8.53	    [1, 0, 0, 1] ->= [1, 1, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 33A 33A 33A \    / 33A 33A 33A \   True   False
33.61/8.53	        | 33A 33A 33A |    | 33A 33A 33A |        
33.61/8.53	        \ 30A 30A 30A /    \ 30A 30A 30A /        
33.61/8.53	    [1, 0, 0, 0] ->= [0, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 30A 30A 30A \    / 30A 30A 30A \   True   False
33.61/8.53	        | 30A 30A 30A |    | 30A 30A 30A |        
33.61/8.53	        \ 27A 27A 27A /    \ 27A 27A 27A /        
33.61/8.53	   property Termination
33.61/8.53	has value True
33.61/8.53	for SRS ( [2, 1, 1, 1] |-> [3, 0, 1, 0], [3, 0, 0, 1] |-> [3, 1, 0, 1], [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1])
33.61/8.53	reason
33.61/8.53	  weights
33.61/8.53	    Map [(2, 1/1)]
33.61/8.53	  
33.61/8.53	   property Termination
33.61/8.53	has value True
33.61/8.53	for SRS ( [3, 0, 0, 1] |-> [3, 1, 0, 1], [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1])
33.61/8.53	reason
33.61/8.53	  EDG has 1 SCCs
33.61/8.53	   property Termination
33.61/8.53	has value True
33.61/8.53	for SRS ( [3, 0, 0, 1] |-> [3, 1, 0, 1], [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1])
33.61/8.53	reason
33.61/8.53	  Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
33.61/8.53	    interpretation
33.61/8.53	      0  / 6A 9A 9A \
33.61/8.53	         | 6A 6A 9A |
33.61/8.53	         \ 6A 6A 6A /
33.61/8.53	      1  / 6A 6A 9A \
33.61/8.53	         | 6A 6A 9A |
33.61/8.53	         \ 6A 6A 9A /
33.61/8.53	      3  / 15A 16A 16A \
33.61/8.53	         | 15A 16A 16A |
33.61/8.53	         \ 15A 16A 16A /
33.61/8.53	    [3, 0, 0, 1] |-> [3, 1, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 39A 39A 42A \    / 37A 37A 40A \   True   True
33.61/8.53	        | 39A 39A 42A |    | 37A 37A 40A |        
33.61/8.53	        \ 39A 39A 42A /    \ 37A 37A 40A /        
33.61/8.53	    [0, 1, 1, 1] ->= [1, 0, 1, 0]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 33A 33A 36A \    / 30A 30A 30A \   True   False
33.61/8.53	        | 33A 33A 36A |    | 30A 30A 30A |        
33.61/8.53	        \ 30A 30A 33A /    \ 30A 30A 30A /        
33.61/8.53	    [0, 1, 1, 1] ->= [0, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 33A 33A 36A \    / 30A 30A 33A \   True   False
33.61/8.53	        | 33A 33A 36A |    | 30A 30A 33A |        
33.61/8.53	        \ 30A 30A 33A /    \ 30A 30A 33A /        
33.61/8.53	    [1, 0, 0, 1] ->= [1, 1, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 30A 30A 33A \    / 30A 30A 33A \   True   False
33.61/8.53	        | 30A 30A 33A |    | 30A 30A 33A |        
33.61/8.53	        \ 30A 30A 33A /    \ 30A 30A 33A /        
33.61/8.53	    [1, 0, 0, 0] ->= [0, 0, 0, 1]
33.61/8.53	     lhs                rhs                ge     gt
33.61/8.53	        / 30A 30A 33A \    / 30A 30A 33A \   True   False
33.61/8.53	        | 30A 30A 33A |    | 30A 30A 33A |        
33.61/8.53	        \ 30A 30A 33A /    \ 30A 30A 33A /        
33.61/8.53	   property Termination
33.61/8.53	has value True
33.61/8.53	for SRS ( [0, 1, 1, 1] ->= [1, 0, 1, 0], [0, 1, 1, 1] ->= [0, 0, 0, 1], [1, 0, 0, 1] ->= [1, 1, 0, 1], [1, 0, 0, 0] ->= [0, 0, 0, 1])
33.61/8.53	reason
33.61/8.53	  EDG has 0 SCCs
33.61/8.53	
33.61/8.53	**************************************************
33.61/8.53	          summary
33.61/8.53	**************************************************
33.61/8.53	SRS with 4 rules on 2 letters       Remap   { tracing = False}
33.61/8.53	SRS with 4 rules on 2 letters       DP transform
33.61/8.53	SRS with 17 rules on 4 letters       Remap   { tracing = False}
33.61/8.53	SRS with 17 rules on 4 letters       weights
33.61/8.53	SRS with 8 rules on 4 letters       EDG
33.61/8.53	SRS with 8 rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
33.61/8.53	SRS with 6 rules on 4 letters       weights
33.61/8.53	SRS with 5 rules on 3 letters       EDG
33.61/8.53	SRS with 5 rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True}
33.61/8.53	SRS with 4 rules on 2 letters       EDG
33.61/8.53	
33.61/8.53	**************************************************
33.61/8.53	(4, 2)\Deepee(17, 4)\Weight(8, 4)\Matrix{\Arctic}{3}(6, 4)\Weight(5, 3)\Matrix{\Arctic}{3}(4, 2)\EDG[]
33.61/8.53	**************************************************
33.61/8.55	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]}
33.61/8.55	in Apply (Worker Remap) (First_Of ([ yeah] <> noh))
33.97/8.69	EOF