18.22/4.63 YES 18.22/4.64 property Termination 18.22/4.64 has value True 18.22/4.64 for SRS ( [a] -> [], [a, b, b] -> [b, b, a, b, c], [b, c] -> [a]) 18.22/4.64 reason 18.22/4.64 remap for 3 rules 18.22/4.64 property Termination 18.22/4.64 has value True 18.22/4.64 for SRS ( [0] -> [], [0, 1, 1] -> [1, 1, 0, 1, 2], [1, 2] -> [0]) 18.22/4.64 reason 18.22/4.65 DP transform 18.22/4.65 property Termination 18.22/4.65 has value True 18.22/4.67 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0], [0#, 1, 1] |-> [1#, 1, 0, 1, 2], [0#, 1, 1] |-> [1#, 0, 1, 2], [0#, 1, 1] |-> [0#, 1, 2], [0#, 1, 1] |-> [1#, 2], [1#, 2] |-> [0#]) 18.22/4.68 reason 18.22/4.68 remap for 8 rules 18.22/4.68 property Termination 18.22/4.68 has value True 18.44/4.69 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0], [3, 1, 1] |-> [4, 1, 0, 1, 2], [3, 1, 1] |-> [4, 0, 1, 2], [3, 1, 1] |-> [3, 1, 2], [3, 1, 1] |-> [4, 2], [4, 2] |-> [3]) 18.44/4.69 reason 18.44/4.70 EDG has 1 SCCs 18.44/4.70 property Termination 18.44/4.70 has value True 18.82/4.81 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [4, 2] |-> [3], [3, 1, 1] |-> [4, 2], [3, 1, 1] |-> [3, 1, 2], [3, 1, 1] |-> [4, 0, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 18.82/4.81 reason 18.82/4.81 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.82/4.81 interpretation 19.00/4.84 0 / 0A 0A \ 19.00/4.84 \ 0A 0A / 19.00/4.84 1 / 0A 2A \ 19.00/4.84 \ 0A 0A / 19.00/4.84 2 / 0A 0A \ 19.00/4.84 \ -2A -2A / 19.00/4.84 3 / 15A 15A \ 19.00/4.84 \ 15A 15A / 19.00/4.84 4 / 15A 17A \ 19.00/4.84 \ 15A 17A / 19.00/4.88 [3, 1, 1] |-> [4, 1, 0, 1, 2] 19.00/4.88 lhs rhs ge gt 19.00/4.88 / 17A 17A \ / 17A 17A \ True False 19.00/4.88 \ 17A 17A / \ 17A 17A / 19.00/4.88 [4, 2] |-> [3] 19.00/4.88 lhs rhs ge gt 19.00/4.88 / 15A 15A \ / 15A 15A \ True False 19.00/4.88 \ 15A 15A / \ 15A 15A / 19.00/4.88 [3, 1, 1] |-> [4, 2] 19.00/4.88 lhs rhs ge gt 19.00/4.88 / 17A 17A \ / 15A 15A \ True True 19.00/4.88 \ 17A 17A / \ 15A 15A / 19.00/4.88 [3, 1, 1] |-> [3, 1, 2] 19.00/4.88 lhs rhs ge gt 19.00/4.88 / 17A 17A \ / 15A 15A \ True True 19.00/4.88 \ 17A 17A / \ 15A 15A / 19.00/4.88 [3, 1, 1] |-> [4, 0, 1, 2] 19.00/4.88 lhs rhs ge gt 19.31/4.92 / 17A 17A \ / 17A 17A \ True False 19.31/4.92 \ 17A 17A / \ 17A 17A / 19.31/4.94 [0] ->= [] 19.31/4.95 lhs rhs ge gt 19.31/4.96 / 0A 0A \ / 0A - \ True False 19.31/4.96 \ 0A 0A / \ - 0A / 19.56/5.00 [0, 1, 1] ->= [1, 1, 0, 1, 2] 19.56/5.01 lhs rhs ge gt 19.56/5.02 / 2A 2A \ / 2A 2A \ True False 19.56/5.02 \ 2A 2A / \ 2A 2A / 19.56/5.04 [1, 2] ->= [0] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 0A 0A \ / 0A 0A \ True False 19.56/5.04 \ 0A 0A / \ 0A 0A / 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [4, 2] |-> [3], [3, 1, 1] |-> [4, 0, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 EDG has 1 SCCs 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [4, 2] |-> [3], [3, 1, 1] |-> [4, 0, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 19.56/5.04 interpretation 19.56/5.04 0 / 0A 0A \ 19.56/5.04 \ 0A 0A / 19.56/5.04 1 / 0A 2A \ 19.56/5.04 \ 0A 0A / 19.56/5.04 2 / 0A 0A \ 19.56/5.04 \ -2A -2A / 19.56/5.04 3 / 16A 16A \ 19.56/5.04 \ 16A 16A / 19.56/5.04 4 / 16A 17A \ 19.56/5.04 \ 16A 17A / 19.56/5.04 [3, 1, 1] |-> [4, 1, 0, 1, 2] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 18A 18A \ / 18A 18A \ True False 19.56/5.04 \ 18A 18A / \ 18A 18A / 19.56/5.04 [4, 2] |-> [3] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 16A 16A \ / 16A 16A \ True False 19.56/5.04 \ 16A 16A / \ 16A 16A / 19.56/5.04 [3, 1, 1] |-> [4, 0, 1, 2] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 18A 18A \ / 17A 17A \ True True 19.56/5.04 \ 18A 18A / \ 17A 17A / 19.56/5.04 [0] ->= [] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 0A 0A \ / 0A - \ True False 19.56/5.04 \ 0A 0A / \ - 0A / 19.56/5.04 [0, 1, 1] ->= [1, 1, 0, 1, 2] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 2A 2A \ / 2A 2A \ True False 19.56/5.04 \ 2A 2A / \ 2A 2A / 19.56/5.04 [1, 2] ->= [0] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 0A 0A \ / 0A 0A \ True False 19.56/5.04 \ 0A 0A / \ 0A 0A / 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 EDG has 1 SCCs 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 19.56/5.04 interpretation 19.56/5.04 0 / 0A 0A 0A \ 19.56/5.04 | 0A 0A 0A | 19.56/5.04 \ 0A 0A 0A / 19.56/5.04 1 / 0A 0A 3A \ 19.56/5.04 | 0A 0A 0A | 19.56/5.04 \ 0A 0A 0A / 19.56/5.04 2 / 0A 0A 0A \ 19.56/5.04 | 0A 0A 0A | 19.56/5.04 \ -3A -3A -3A / 19.56/5.04 3 / 31A 31A 33A \ 19.56/5.04 | 31A 31A 33A | 19.56/5.04 \ 31A 31A 33A / 19.56/5.04 4 / 31A 34A 34A \ 19.56/5.04 | 31A 34A 34A | 19.56/5.04 \ 31A 34A 34A / 19.56/5.04 [3, 1, 1] |-> [4, 1, 0, 1, 2] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 34A 34A 36A \ / 34A 34A 34A \ True False 19.56/5.04 | 34A 34A 36A | | 34A 34A 34A | 19.56/5.04 \ 34A 34A 36A / \ 34A 34A 34A / 19.56/5.04 [4, 2] |-> [3] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 34A 34A 34A \ / 31A 31A 33A \ True True 19.56/5.04 | 34A 34A 34A | | 31A 31A 33A | 19.56/5.04 \ 34A 34A 34A / \ 31A 31A 33A / 19.56/5.04 [0] ->= [] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 0A 0A 0A \ / 0A - - \ True False 19.56/5.04 | 0A 0A 0A | | - 0A - | 19.56/5.04 \ 0A 0A 0A / \ - - 0A / 19.56/5.04 [0, 1, 1] ->= [1, 1, 0, 1, 2] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 3A 3A 3A \ / 3A 3A 3A \ True False 19.56/5.04 | 3A 3A 3A | | 3A 3A 3A | 19.56/5.04 \ 3A 3A 3A / \ 3A 3A 3A / 19.56/5.04 [1, 2] ->= [0] 19.56/5.04 lhs rhs ge gt 19.56/5.04 / 0A 0A 0A \ / 0A 0A 0A \ True False 19.56/5.04 | 0A 0A 0A | | 0A 0A 0A | 19.56/5.04 \ 0A 0A 0A / \ 0A 0A 0A / 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [3, 1, 1] |-> [4, 1, 0, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 weights 19.56/5.04 Map [(3, 1/1)] 19.56/5.04 19.56/5.04 property Termination 19.56/5.04 has value True 19.56/5.04 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 0, 1, 2], [1, 2] ->= [0]) 19.56/5.04 reason 19.56/5.04 EDG has 0 SCCs 19.56/5.04 19.56/5.04 ************************************************** 19.56/5.04 summary 19.56/5.04 ************************************************** 19.56/5.04 SRS with 3 rules on 3 letters Remap { tracing = False} 19.56/5.04 SRS with 3 rules on 3 letters DP transform 19.56/5.04 SRS with 8 rules on 5 letters Remap { tracing = False} 19.56/5.04 SRS with 8 rules on 5 letters EDG 19.56/5.04 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 19.56/5.04 SRS with 6 rules on 5 letters EDG 19.56/5.04 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 19.56/5.04 SRS with 5 rules on 5 letters EDG 19.56/5.04 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 19.56/5.04 SRS with 4 rules on 5 letters weights 19.56/5.04 SRS with 3 rules on 3 letters EDG 19.56/5.04 19.56/5.04 ************************************************** 19.56/5.04 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{3}(4, 5)\Weight(3, 3)\EDG[] 19.56/5.04 ************************************************** 19.91/5.08 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]} 19.91/5.08 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 20.11/5.13 EOF