18.53/4.69 YES 18.53/4.69 property Termination 18.53/4.69 has value True 18.53/4.69 for SRS ( [a, a, b] -> [b, a, b, c, a], [b, a] -> [a, b, b], [b, c, a] -> [c, a, b]) 18.53/4.69 reason 18.53/4.69 remap for 3 rules 18.53/4.69 property Termination 18.53/4.69 has value True 18.53/4.69 for SRS ( [0, 0, 1] -> [1, 0, 1, 2, 0], [1, 0] -> [0, 1, 1], [1, 2, 0] -> [2, 0, 1]) 18.53/4.69 reason 18.53/4.69 DP transform 18.53/4.69 property Termination 18.53/4.70 has value True 18.53/4.70 for SRS ( [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1], [0#, 0, 1] |-> [1#, 0, 1, 2, 0], [0#, 0, 1] |-> [0#, 1, 2, 0], [0#, 0, 1] |-> [1#, 2, 0], [0#, 0, 1] |-> [0#], [1#, 0] |-> [0#, 1, 1], [1#, 0] |-> [1#, 1], [1#, 0] |-> [1#], [1#, 2, 0] |-> [0#, 1], [1#, 2, 0] |-> [1#]) 18.53/4.70 reason 18.53/4.70 remap for 12 rules 18.53/4.70 property Termination 18.53/4.70 has value True 18.53/4.70 for SRS ( [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1], [3, 0, 1] |-> [4, 0, 1, 2, 0], [3, 0, 1] |-> [3, 1, 2, 0], [3, 0, 1] |-> [4, 2, 0], [3, 0, 1] |-> [3], [4, 0] |-> [3, 1, 1], [4, 0] |-> [4, 1], [4, 0] |-> [4], [4, 2, 0] |-> [3, 1], [4, 2, 0] |-> [4]) 18.53/4.70 reason 18.53/4.70 weights 18.53/4.70 Map [(0, 1/5), (3, 1/5)] 18.53/4.70 18.53/4.70 property Termination 18.53/4.70 has value True 18.53/4.70 for SRS ( [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1], [3, 0, 1] |-> [4, 0, 1, 2, 0], [3, 0, 1] |-> [3, 1, 2, 0], [4, 0] |-> [3, 1, 1], [4, 2, 0] |-> [3, 1]) 18.53/4.70 reason 18.53/4.70 EDG has 1 SCCs 18.53/4.70 property Termination 18.53/4.70 has value True 18.53/4.71 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [4, 2, 0] |-> [3, 1], [3, 0, 1] |-> [3, 1, 2, 0], [4, 0] |-> [3, 1, 1], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.53/4.71 reason 18.53/4.72 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.53/4.72 interpretation 18.53/4.72 0 / 0A 0A \ 18.53/4.72 \ -2A -2A / 18.53/4.72 1 / 0A 0A \ 18.53/4.73 \ -2A 0A / 18.53/4.73 2 / 0A 0A \ 18.53/4.73 \ 0A 0A / 18.53/4.73 3 / 22A 22A \ 18.53/4.73 \ 22A 22A / 18.53/4.73 4 / 22A 24A \ 18.53/4.73 \ 22A 24A / 18.53/4.73 [3, 0, 1] |-> [4, 0, 1, 2, 0] 18.53/4.73 lhs rhs ge gt 18.53/4.73 / 22A 22A \ / 22A 22A \ True False 18.53/4.73 \ 22A 22A / \ 22A 22A / 18.53/4.74 [4, 2, 0] |-> [3, 1] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 24A 24A \ / 22A 22A \ True True 18.53/4.74 \ 24A 24A / \ 22A 22A / 18.53/4.74 [3, 0, 1] |-> [3, 1, 2, 0] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 22A 22A \ / 22A 22A \ True False 18.53/4.74 \ 22A 22A / \ 22A 22A / 18.53/4.74 [4, 0] |-> [3, 1, 1] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 22A 22A \ / 22A 22A \ True False 18.53/4.74 \ 22A 22A / \ 22A 22A / 18.53/4.74 [0, 0, 1] ->= [1, 0, 1, 2, 0] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 0A 0A \ / 0A 0A \ True False 18.53/4.74 \ -2A -2A / \ -2A -2A / 18.53/4.74 [1, 0] ->= [0, 1, 1] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 0A 0A \ / 0A 0A \ True False 18.53/4.74 \ -2A -2A / \ -2A -2A / 18.53/4.74 [1, 2, 0] ->= [2, 0, 1] 18.53/4.74 lhs rhs ge gt 18.53/4.74 / 0A 0A \ / 0A 0A \ True False 18.53/4.74 \ 0A 0A / \ 0A 0A / 18.53/4.74 property Termination 18.53/4.74 has value True 18.53/4.75 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [3, 0, 1] |-> [3, 1, 2, 0], [4, 0] |-> [3, 1, 1], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.53/4.75 reason 18.53/4.76 EDG has 1 SCCs 18.53/4.76 property Termination 18.53/4.76 has value True 18.81/4.77 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [4, 0] |-> [3, 1, 1], [3, 0, 1] |-> [3, 1, 2, 0], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.81/4.77 reason 18.81/4.77 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.81/4.77 interpretation 18.81/4.77 0 / 6A 6A \ 18.81/4.78 \ 6A 6A / 18.81/4.78 1 / 0A 0A \ 18.81/4.78 \ -2A 0A / 18.81/4.78 2 / 0A 0A \ 18.81/4.78 \ -2A -2A / 18.81/4.78 3 / 13A 14A \ 18.81/4.78 \ 13A 14A / 18.81/4.78 4 / 7A 8A \ 18.81/4.78 \ 7A 8A / 18.81/4.78 [3, 0, 1] |-> [4, 0, 1, 2, 0] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 20A 20A \ / 20A 20A \ True False 18.81/4.78 \ 20A 20A / \ 20A 20A / 18.81/4.78 [4, 0] |-> [3, 1, 1] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 14A 14A \ / 13A 14A \ True False 18.81/4.78 \ 14A 14A / \ 13A 14A / 18.81/4.78 [3, 0, 1] |-> [3, 1, 2, 0] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 20A 20A \ / 19A 19A \ True True 18.81/4.78 \ 20A 20A / \ 19A 19A / 18.81/4.78 [0, 0, 1] ->= [1, 0, 1, 2, 0] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 12A 12A \ / 12A 12A \ True False 18.81/4.78 \ 12A 12A / \ 12A 12A / 18.81/4.78 [1, 0] ->= [0, 1, 1] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 6A 6A \ / 6A 6A \ True False 18.81/4.78 \ 6A 6A / \ 6A 6A / 18.81/4.78 [1, 2, 0] ->= [2, 0, 1] 18.81/4.78 lhs rhs ge gt 18.81/4.78 / 6A 6A \ / 6A 6A \ True False 18.81/4.78 \ 4A 4A / \ 4A 4A / 18.81/4.78 property Termination 18.81/4.78 has value True 18.81/4.78 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [4, 0] |-> [3, 1, 1], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.81/4.78 reason 18.81/4.78 EDG has 1 SCCs 18.81/4.78 property Termination 18.81/4.78 has value True 18.81/4.78 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [4, 0] |-> [3, 1, 1], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.81/4.78 reason 18.83/4.79 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.83/4.79 interpretation 18.83/4.79 0 / 12A 14A \ 18.83/4.79 \ 12A 14A / 18.83/4.79 1 / 0A 0A \ 18.83/4.79 \ -2A 0A / 18.83/4.79 2 / 0A 0A \ 18.83/4.79 \ -2A -2A / 18.83/4.79 3 / 16A 18A \ 18.83/4.79 \ 16A 18A / 18.83/4.79 4 / 5A 6A \ 18.83/4.79 \ 5A 6A / 18.83/4.80 [3, 0, 1] |-> [4, 0, 1, 2, 0] 18.83/4.80 lhs rhs ge gt 18.83/4.80 / 30A 32A \ / 30A 32A \ True False 18.83/4.80 \ 30A 32A / \ 30A 32A / 18.83/4.80 [4, 0] |-> [3, 1, 1] 18.83/4.80 lhs rhs ge gt 18.83/4.80 / 18A 20A \ / 16A 18A \ True True 18.83/4.80 \ 18A 20A / \ 16A 18A / 18.83/4.80 [0, 0, 1] ->= [1, 0, 1, 2, 0] 18.83/4.80 lhs rhs ge gt 18.83/4.80 / 26A 28A \ / 24A 26A \ True True 18.83/4.80 \ 26A 28A / \ 24A 26A / 18.83/4.80 [1, 0] ->= [0, 1, 1] 18.83/4.80 lhs rhs ge gt 18.83/4.80 / 12A 14A \ / 12A 14A \ True False 18.83/4.80 \ 12A 14A / \ 12A 14A / 18.83/4.80 [1, 2, 0] ->= [2, 0, 1] 18.83/4.80 lhs rhs ge gt 18.83/4.80 / 12A 14A \ / 12A 14A \ True False 18.91/4.81 \ 10A 12A / \ 10A 12A / 18.91/4.81 property Termination 18.91/4.81 has value True 18.91/4.81 for SRS ( [3, 0, 1] |-> [4, 0, 1, 2, 0], [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.91/4.81 reason 18.91/4.81 weights 18.91/4.81 Map [(3, 1/1)] 18.91/4.81 18.91/4.81 property Termination 18.91/4.81 has value True 18.91/4.81 for SRS ( [0, 0, 1] ->= [1, 0, 1, 2, 0], [1, 0] ->= [0, 1, 1], [1, 2, 0] ->= [2, 0, 1]) 18.91/4.81 reason 18.91/4.81 EDG has 0 SCCs 18.91/4.81 18.91/4.81 ************************************************** 18.91/4.81 summary 18.91/4.81 ************************************************** 18.91/4.81 SRS with 3 rules on 3 letters Remap { tracing = False} 18.91/4.81 SRS with 3 rules on 3 letters DP transform 18.91/4.81 SRS with 12 rules on 5 letters Remap { tracing = False} 18.91/4.81 SRS with 12 rules on 5 letters weights 18.91/4.81 SRS with 7 rules on 5 letters EDG 18.91/4.82 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.91/4.82 SRS with 6 rules on 5 letters EDG 18.91/4.82 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.91/4.82 SRS with 5 rules on 5 letters EDG 18.96/4.82 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 18.96/4.83 SRS with 4 rules on 5 letters weights 18.96/4.83 SRS with 3 rules on 3 letters EDG 18.96/4.83 18.96/4.83 ************************************************** 18.96/4.85 (3, 3)\Deepee(12, 5)\Weight(7, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{2}(4, 5)\Weight(3, 3)\EDG[] 18.96/4.85 ************************************************** 20.39/5.23 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]} 20.39/5.23 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 20.69/5.37 EOF