17.89/4.56 YES 17.89/4.56 property Termination 17.89/4.56 has value True 17.89/4.57 for SRS ( [b, b, a, a] -> [b, b, a, b], [a, a, b, b] -> [b, b, a, a], [b, a, a, b] -> [b, a, a, a]) 17.89/4.57 reason 17.89/4.57 remap for 3 rules 17.89/4.57 property Termination 17.89/4.57 has value True 17.89/4.58 for SRS ( [0, 0, 1, 1] -> [0, 0, 1, 0], [1, 1, 0, 0] -> [0, 0, 1, 1], [0, 1, 1, 0] -> [0, 1, 1, 1]) 17.89/4.58 reason 17.89/4.58 reverse each lhs and rhs 18.15/4.61 property Termination 18.15/4.61 has value True 18.15/4.61 for SRS ( [1, 1, 0, 0] -> [0, 1, 0, 0], [0, 0, 1, 1] -> [1, 1, 0, 0], [0, 1, 1, 0] -> [1, 1, 1, 0]) 18.15/4.61 reason 18.15/4.61 DP transform 18.15/4.61 property Termination 18.15/4.61 has value True 18.15/4.61 for SRS ( [1, 1, 0, 0] ->= [0, 1, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 1, 0] ->= [1, 1, 1, 0], [1#, 1, 0, 0] |-> [0#, 1, 0, 0], [0#, 0, 1, 1] |-> [1#, 1, 0, 0], [0#, 0, 1, 1] |-> [1#, 0, 0], [0#, 0, 1, 1] |-> [0#, 0], [0#, 0, 1, 1] |-> [0#], [0#, 1, 1, 0] |-> [1#, 1, 1, 0]) 18.15/4.61 reason 18.15/4.61 remap for 9 rules 18.15/4.61 property Termination 18.15/4.61 has value True 18.15/4.62 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1], [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 0] |-> [2, 0, 1, 1], [3, 1, 0, 0] |-> [2, 1, 1], [3, 1, 0, 0] |-> [3, 1], [3, 1, 0, 0] |-> [3], [3, 0, 0, 1] |-> [2, 0, 0, 1]) 18.15/4.62 reason 18.15/4.62 weights 18.15/4.62 Map [(0, 1/6), (1, 1/6)] 18.15/4.62 18.15/4.62 property Termination 18.15/4.62 has value True 18.15/4.62 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1], [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 0] |-> [2, 0, 1, 1], [3, 0, 0, 1] |-> [2, 0, 0, 1]) 18.15/4.62 reason 18.15/4.62 EDG has 1 SCCs 18.15/4.62 property Termination 18.15/4.62 has value True 18.15/4.62 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 0, 0, 1] |-> [2, 0, 0, 1], [3, 1, 0, 0] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1]) 18.15/4.62 reason 18.15/4.65 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.15/4.66 interpretation 18.15/4.66 0 / 6A 8A \ 18.15/4.66 \ 6A 6A / 18.15/4.66 1 / 6A 8A \ 18.44/4.67 \ 6A 8A / 18.51/4.68 2 / 5A 5A \ 18.65/4.73 \ 5A 5A / 18.65/4.73 3 / 5A 7A \ 18.74/4.76 \ 5A 7A / 18.74/4.78 [2, 0, 1, 1] |-> [3, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 27A 29A \ / 27A 29A \ True False 18.74/4.78 \ 27A 29A / \ 27A 29A / 18.74/4.78 [3, 0, 0, 1] |-> [2, 0, 0, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 27A 29A \ / 25A 27A \ True True 18.74/4.78 \ 27A 29A / \ 25A 27A / 18.74/4.78 [3, 1, 0, 0] |-> [2, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 27A 29A \ / 27A 29A \ True False 18.74/4.78 \ 27A 29A / \ 27A 29A / 18.74/4.78 [0, 0, 1, 1] ->= [1, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 28A 30A \ / 28A 30A \ True False 18.74/4.78 \ 28A 30A / \ 28A 30A / 18.74/4.78 [1, 1, 0, 0] ->= [0, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 28A 30A \ / 28A 30A \ True False 18.74/4.78 \ 28A 30A / \ 28A 30A / 18.74/4.78 [1, 0, 0, 1] ->= [0, 0, 0, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 28A 30A \ / 28A 30A \ True False 18.74/4.78 \ 28A 30A / \ 26A 28A / 18.74/4.78 property Termination 18.74/4.78 has value True 18.74/4.78 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 0] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1]) 18.74/4.78 reason 18.74/4.78 EDG has 1 SCCs 18.74/4.78 property Termination 18.74/4.78 has value True 18.74/4.78 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 0] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1]) 18.74/4.78 reason 18.74/4.78 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 18.74/4.78 interpretation 18.74/4.78 0 / 9A 12A 12A \ 18.74/4.78 | 9A 9A 9A | 18.74/4.78 \ 9A 9A 9A / 18.74/4.78 1 / 9A 9A 12A \ 18.74/4.78 | 9A 9A 12A | 18.74/4.78 \ 6A 9A 9A / 18.74/4.78 2 / 10A 13A 13A \ 18.74/4.78 | 10A 13A 13A | 18.74/4.78 \ 10A 13A 13A / 18.74/4.78 3 / 10A 12A 13A \ 18.74/4.78 | 10A 12A 13A | 18.74/4.78 \ 10A 12A 13A / 18.74/4.78 [2, 0, 1, 1] |-> [3, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 40A 43A 43A \ / 40A 43A 43A \ True False 18.74/4.78 | 40A 43A 43A | | 40A 43A 43A | 18.74/4.78 \ 40A 43A 43A / \ 40A 43A 43A / 18.74/4.78 [3, 1, 0, 0] |-> [2, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 42A 45A 45A \ / 40A 43A 43A \ True True 18.74/4.78 | 42A 45A 45A | | 40A 43A 43A | 18.74/4.78 \ 42A 45A 45A / \ 40A 43A 43A / 18.74/4.78 [0, 0, 1, 1] ->= [1, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 39A 42A 42A \ / 39A 42A 42A \ True False 18.74/4.78 | 39A 42A 42A | | 39A 42A 42A | 18.74/4.78 \ 39A 42A 42A / \ 36A 39A 39A / 18.74/4.78 [1, 1, 0, 0] ->= [0, 0, 1, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 39A 42A 42A \ / 39A 42A 42A \ True False 18.74/4.78 | 39A 42A 42A | | 39A 42A 42A | 18.74/4.78 \ 39A 42A 42A / \ 39A 42A 42A / 18.74/4.78 [1, 0, 0, 1] ->= [0, 0, 0, 1] 18.74/4.78 lhs rhs ge gt 18.74/4.78 / 42A 42A 45A \ / 42A 42A 45A \ True False 18.74/4.78 | 42A 42A 45A | | 39A 39A 42A | 18.74/4.78 \ 39A 39A 42A / \ 39A 39A 42A / 18.74/4.78 property Termination 18.74/4.78 has value True 18.74/4.78 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1]) 18.74/4.78 reason 18.74/4.78 weights 18.74/4.78 Map [(2, 1/1)] 18.74/4.78 18.74/4.78 property Termination 18.74/4.78 has value True 18.74/4.81 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 0, 1] ->= [0, 0, 0, 1]) 18.74/4.81 reason 18.74/4.81 EDG has 0 SCCs 18.74/4.81 18.74/4.81 ************************************************** 18.74/4.81 summary 18.74/4.81 ************************************************** 18.74/4.81 SRS with 3 rules on 2 letters Remap { tracing = False} 18.74/4.81 SRS with 3 rules on 2 letters reverse each lhs and rhs 18.74/4.81 SRS with 3 rules on 2 letters DP transform 18.74/4.81 SRS with 9 rules on 4 letters Remap { tracing = False} 18.74/4.81 SRS with 9 rules on 4 letters weights 18.74/4.81 SRS with 6 rules on 4 letters EDG 18.74/4.81 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.74/4.81 SRS with 5 rules on 4 letters EDG 18.74/4.81 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 18.74/4.81 SRS with 4 rules on 4 letters weights 18.74/4.81 SRS with 3 rules on 2 letters EDG 18.74/4.81 18.74/4.81 ************************************************** 18.74/4.81 (3, 2)\Deepee(9, 4)\Weight(6, 4)\Matrix{\Arctic}{2}(5, 4)\Matrix{\Arctic}{3}(4, 4)\Weight(3, 2)\EDG[] 18.74/4.81 ************************************************** 19.29/4.88 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]} 19.29/4.88 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 19.58/5.01 EOF