33.95/8.63 YES 33.95/8.63 property Termination 33.95/8.63 has value True 33.95/8.64 for SRS ( [a] -> [], [a, b, b] -> [b, b, b, c], [b, c] -> [a, a]) 33.95/8.64 reason 33.95/8.64 remap for 3 rules 33.95/8.64 property Termination 33.95/8.64 has value True 33.95/8.64 for SRS ( [0] -> [], [0, 1, 1] -> [1, 1, 1, 2], [1, 2] -> [0, 0]) 33.95/8.64 reason 33.95/8.64 DP transform 33.95/8.64 property Termination 33.95/8.64 has value True 33.95/8.64 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0], [0#, 1, 1] |-> [1#, 1, 1, 2], [0#, 1, 1] |-> [1#, 1, 2], [0#, 1, 1] |-> [1#, 2], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#]) 33.95/8.64 reason 33.95/8.64 remap for 8 rules 33.95/8.64 property Termination 33.95/8.64 has value True 33.95/8.64 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0], [3, 1, 1] |-> [4, 1, 1, 2], [3, 1, 1] |-> [4, 1, 2], [3, 1, 1] |-> [4, 2], [4, 2] |-> [3, 0], [4, 2] |-> [3]) 33.95/8.64 reason 33.95/8.64 EDG has 1 SCCs 33.95/8.64 property Termination 33.95/8.64 has value True 33.95/8.64 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2], [4, 2] |-> [3], [3, 1, 1] |-> [4, 2], [4, 2] |-> [3, 0], [3, 1, 1] |-> [4, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.64 reason 33.95/8.64 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.64 interpretation 33.95/8.64 0 / 0A 0A \ 33.95/8.64 \ 0A 0A / 33.95/8.64 1 / 0A 2A \ 33.95/8.64 \ 0A 0A / 33.95/8.64 2 / 0A 0A \ 33.95/8.64 \ -2A -2A / 33.95/8.64 3 / 28A 28A \ 33.95/8.64 \ 28A 28A / 33.95/8.64 4 / 28A 30A \ 33.95/8.64 \ 28A 30A / 33.95/8.64 [3, 1, 1] |-> [4, 1, 1, 2] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 30A 30A \ / 30A 30A \ True False 33.95/8.64 \ 30A 30A / \ 30A 30A / 33.95/8.64 [4, 2] |-> [3] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 28A 28A \ / 28A 28A \ True False 33.95/8.64 \ 28A 28A / \ 28A 28A / 33.95/8.64 [3, 1, 1] |-> [4, 2] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 30A 30A \ / 28A 28A \ True True 33.95/8.64 \ 30A 30A / \ 28A 28A / 33.95/8.64 [4, 2] |-> [3, 0] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 28A 28A \ / 28A 28A \ True False 33.95/8.64 \ 28A 28A / \ 28A 28A / 33.95/8.64 [3, 1, 1] |-> [4, 1, 2] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 30A 30A \ / 30A 30A \ True False 33.95/8.64 \ 30A 30A / \ 30A 30A / 33.95/8.64 [0] ->= [] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 0A 0A \ / 0A - \ True False 33.95/8.64 \ 0A 0A / \ - 0A / 33.95/8.64 [0, 1, 1] ->= [1, 1, 1, 2] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 2A 2A \ / 2A 2A \ True False 33.95/8.64 \ 2A 2A / \ 2A 2A / 33.95/8.64 [1, 2] ->= [0, 0] 33.95/8.64 lhs rhs ge gt 33.95/8.64 / 0A 0A \ / 0A 0A \ True False 33.95/8.64 \ 0A 0A / \ 0A 0A / 33.95/8.64 property Termination 33.95/8.64 has value True 33.95/8.64 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2], [4, 2] |-> [3], [4, 2] |-> [3, 0], [3, 1, 1] |-> [4, 1, 2], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.64 reason 33.95/8.64 EDG has 1 SCCs 33.95/8.65 property Termination 33.95/8.65 has value True 33.95/8.65 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2], [4, 2] |-> [3, 0], [3, 1, 1] |-> [4, 1, 2], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.65 reason 33.95/8.65 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.65 interpretation 33.95/8.65 0 / 0A 0A \ 33.95/8.65 \ 0A 0A / 33.95/8.65 1 / 0A 2A \ 33.95/8.65 \ 0A 0A / 33.95/8.65 2 / 0A 0A \ 33.95/8.65 \ -2A -2A / 33.95/8.65 3 / 4A 4A \ 33.95/8.65 \ 4A 4A / 33.95/8.65 4 / 4A 5A \ 33.95/8.65 \ 4A 5A / 33.95/8.65 [3, 1, 1] |-> [4, 1, 1, 2] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 6A 6A \ / 6A 6A \ True False 33.95/8.65 \ 6A 6A / \ 6A 6A / 33.95/8.65 [4, 2] |-> [3, 0] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 4A 4A \ / 4A 4A \ True False 33.95/8.65 \ 4A 4A / \ 4A 4A / 33.95/8.65 [3, 1, 1] |-> [4, 1, 2] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 6A 6A \ / 5A 5A \ True True 33.95/8.65 \ 6A 6A / \ 5A 5A / 33.95/8.65 [4, 2] |-> [3] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 4A 4A \ / 4A 4A \ True False 33.95/8.65 \ 4A 4A / \ 4A 4A / 33.95/8.65 [0] ->= [] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 0A 0A \ / 0A - \ True False 33.95/8.65 \ 0A 0A / \ - 0A / 33.95/8.65 [0, 1, 1] ->= [1, 1, 1, 2] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 2A 2A \ / 2A 2A \ True False 33.95/8.65 \ 2A 2A / \ 2A 2A / 33.95/8.65 [1, 2] ->= [0, 0] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 0A 0A \ / 0A 0A \ True False 33.95/8.65 \ 0A 0A / \ 0A 0A / 33.95/8.65 property Termination 33.95/8.65 has value True 33.95/8.65 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2], [4, 2] |-> [3, 0], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.65 reason 33.95/8.65 EDG has 1 SCCs 33.95/8.65 property Termination 33.95/8.65 has value True 33.95/8.65 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2], [4, 2] |-> [3], [4, 2] |-> [3, 0], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.65 reason 33.95/8.65 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.65 interpretation 33.95/8.65 0 / 0A 0A 0A \ 33.95/8.65 | 0A 0A 0A | 33.95/8.65 \ 0A 0A 0A / 33.95/8.65 1 / 0A 0A 3A \ 33.95/8.65 | 0A 0A 0A | 33.95/8.65 \ 0A 0A 0A / 33.95/8.65 2 / 0A 0A 0A \ 33.95/8.65 | 0A 0A 0A | 33.95/8.65 \ -3A -3A -3A / 33.95/8.65 3 / 17A 19A 19A \ 33.95/8.65 | 17A 19A 19A | 33.95/8.65 \ 17A 19A 19A / 33.95/8.65 4 / 16A 19A 19A \ 33.95/8.65 | 16A 19A 19A | 33.95/8.65 \ 16A 19A 19A / 33.95/8.65 [3, 1, 1] |-> [4, 1, 1, 2] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 20A 20A 22A \ / 19A 19A 19A \ True True 33.95/8.65 | 20A 20A 22A | | 19A 19A 19A | 33.95/8.65 \ 20A 20A 22A / \ 19A 19A 19A / 33.95/8.65 [4, 2] |-> [3] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 19A 19A 19A \ / 17A 19A 19A \ True False 33.95/8.65 | 19A 19A 19A | | 17A 19A 19A | 33.95/8.65 \ 19A 19A 19A / \ 17A 19A 19A / 33.95/8.65 [4, 2] |-> [3, 0] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 19A 19A 19A \ / 19A 19A 19A \ True False 33.95/8.65 | 19A 19A 19A | | 19A 19A 19A | 33.95/8.65 \ 19A 19A 19A / \ 19A 19A 19A / 33.95/8.65 [0] ->= [] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 0A 0A 0A \ / 0A - - \ True False 33.95/8.65 | 0A 0A 0A | | - 0A - | 33.95/8.65 \ 0A 0A 0A / \ - - 0A / 33.95/8.65 [0, 1, 1] ->= [1, 1, 1, 2] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 3A 3A 3A \ / 3A 3A 3A \ True False 33.95/8.65 | 3A 3A 3A | | 3A 3A 3A | 33.95/8.65 \ 3A 3A 3A / \ 3A 3A 3A / 33.95/8.65 [1, 2] ->= [0, 0] 33.95/8.65 lhs rhs ge gt 33.95/8.65 / 0A 0A 0A \ / 0A 0A 0A \ True False 33.95/8.65 | 0A 0A 0A | | 0A 0A 0A | 33.95/8.65 \ 0A 0A 0A / \ 0A 0A 0A / 33.95/8.65 property Termination 33.95/8.65 has value True 33.95/8.65 for SRS ( [4, 2] |-> [3], [4, 2] |-> [3, 0], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.65 reason 33.95/8.65 weights 33.95/8.65 Map [(4, 2/1)] 33.95/8.66 33.95/8.66 property Termination 33.95/8.66 has value True 33.95/8.66 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2], [1, 2] ->= [0, 0]) 33.95/8.66 reason 33.95/8.66 EDG has 0 SCCs 33.95/8.66 33.95/8.66 ************************************************** 33.95/8.66 summary 33.95/8.66 ************************************************** 33.95/8.66 SRS with 3 rules on 3 letters Remap { tracing = False} 33.95/8.66 SRS with 3 rules on 3 letters DP transform 33.95/8.66 SRS with 8 rules on 5 letters Remap { tracing = False} 33.95/8.66 SRS with 8 rules on 5 letters EDG 33.95/8.66 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.66 SRS with 7 rules on 5 letters EDG 33.95/8.66 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.66 SRS with 6 rules on 5 letters EDG 33.95/8.66 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 33.95/8.66 SRS with 5 rules on 5 letters weights 33.95/8.66 SRS with 3 rules on 3 letters EDG 33.95/8.66 33.95/8.66 ************************************************** 33.95/8.66 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(7, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{3}(5, 5)\Weight(3, 3)\EDG[] 33.95/8.66 ************************************************** 35.06/8.93 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]} 35.06/8.93 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 35.50/9.05 EOF