4.58/1.17 YES 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [a, b] -> [c, d], [d, d] -> [b, e], [b] -> [d, c], [d] -> [], [e, c] -> [d, a], [a] -> [e, d]) 4.58/1.18 reason 4.58/1.18 remap for 6 rules 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [0, 1] -> [2, 3], [3, 3] -> [1, 4], [1] -> [3, 2], [3] -> [], [4, 2] -> [3, 0], [0] -> [4, 3]) 4.58/1.18 reason 4.58/1.18 DP transform 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [0, 1] ->= [2, 3], [3, 3] ->= [1, 4], [1] ->= [3, 2], [3] ->= [], [4, 2] ->= [3, 0], [0] ->= [4, 3], [0#, 1] |-> [3#], [3#, 3] |-> [1#, 4], [3#, 3] |-> [4#], [1#] |-> [3#, 2], [4#, 2] |-> [3#, 0], [4#, 2] |-> [0#], [0#] |-> [4#, 3], [0#] |-> [3#]) 4.58/1.18 reason 4.58/1.18 remap for 14 rules 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [0, 1] ->= [2, 3], [3, 3] ->= [1, 4], [1] ->= [3, 2], [3] ->= [], [4, 2] ->= [3, 0], [0] ->= [4, 3], [5, 1] |-> [6], [6, 3] |-> [7, 4], [6, 3] |-> [8], [7] |-> [6, 2], [8, 2] |-> [6, 0], [8, 2] |-> [5], [5] |-> [8, 3], [5] |-> [6]) 4.58/1.18 reason 4.58/1.18 EDG has 1 SCCs 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [5, 1] |-> [6], [6, 3] |-> [8], [8, 2] |-> [5], [5] |-> [6], [5] |-> [8, 3], [8, 2] |-> [6, 0], [0, 1] ->= [2, 3], [3, 3] ->= [1, 4], [1] ->= [3, 2], [3] ->= [], [4, 2] ->= [3, 0], [0] ->= [4, 3]) 4.58/1.18 reason 4.58/1.18 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.58/1.18 interpretation 4.58/1.18 0 / 0A 2A \ 4.58/1.18 \ -2A 0A / 4.58/1.18 1 / 2A 4A \ 4.58/1.18 \ 2A 4A / 4.58/1.18 2 / 2A 4A \ 4.58/1.18 \ 0A 2A / 4.58/1.18 3 / 0A 2A \ 4.58/1.18 \ 0A 2A / 4.58/1.18 4 / 0A 0A \ 4.58/1.18 \ -2A -2A / 4.58/1.18 5 / 10A 12A \ 4.58/1.18 \ 10A 12A / 4.58/1.18 6 / 9A 11A \ 4.58/1.18 \ 9A 11A / 4.58/1.18 8 / 9A 9A \ 4.58/1.18 \ 9A 9A / 4.58/1.18 [5, 1] |-> [6] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 14A 16A \ / 9A 11A \ True True 4.58/1.18 \ 14A 16A / \ 9A 11A / 4.58/1.18 [6, 3] |-> [8] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 11A 13A \ / 9A 9A \ True True 4.58/1.18 \ 11A 13A / \ 9A 9A / 4.58/1.18 [8, 2] |-> [5] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 11A 13A \ / 10A 12A \ True True 4.58/1.18 \ 11A 13A / \ 10A 12A / 4.58/1.18 [5] |-> [6] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 10A 12A \ / 9A 11A \ True True 4.58/1.18 \ 10A 12A / \ 9A 11A / 4.58/1.18 [5] |-> [8, 3] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 10A 12A \ / 9A 11A \ True True 4.58/1.18 \ 10A 12A / \ 9A 11A / 4.58/1.18 [8, 2] |-> [6, 0] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 11A 13A \ / 9A 11A \ True True 4.58/1.18 \ 11A 13A / \ 9A 11A / 4.58/1.18 [0, 1] ->= [2, 3] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 4A 6A \ / 4A 6A \ True False 4.58/1.18 \ 2A 4A / \ 2A 4A / 4.58/1.18 [3, 3] ->= [1, 4] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 2A 4A \ / 2A 2A \ True False 4.58/1.18 \ 2A 4A / \ 2A 2A / 4.58/1.18 [1] ->= [3, 2] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 2A 4A \ / 2A 4A \ True False 4.58/1.18 \ 2A 4A / \ 2A 4A / 4.58/1.18 [3] ->= [] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 0A 2A \ / 0A - \ True False 4.58/1.18 \ 0A 2A / \ - 0A / 4.58/1.18 [4, 2] ->= [3, 0] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 2A 4A \ / 0A 2A \ True False 4.58/1.18 \ 0A 2A / \ 0A 2A / 4.58/1.18 [0] ->= [4, 3] 4.58/1.18 lhs rhs ge gt 4.58/1.18 / 0A 2A \ / 0A 2A \ True False 4.58/1.18 \ -2A 0A / \ -2A 0A / 4.58/1.18 property Termination 4.58/1.18 has value True 4.58/1.18 for SRS ( [0, 1] ->= [2, 3], [3, 3] ->= [1, 4], [1] ->= [3, 2], [3] ->= [], [4, 2] ->= [3, 0], [0] ->= [4, 3]) 4.58/1.18 reason 4.58/1.18 EDG has 0 SCCs 4.58/1.18 4.58/1.18 ************************************************** 4.58/1.18 summary 4.58/1.18 ************************************************** 4.58/1.18 SRS with 6 rules on 5 letters Remap { tracing = False} 4.58/1.18 SRS with 6 rules on 5 letters DP transform 4.58/1.18 SRS with 14 rules on 9 letters Remap { tracing = False} 4.58/1.18 SRS with 14 rules on 9 letters EDG 4.58/1.19 SRS with 12 rules on 8 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.66/1.19 SRS with 6 rules on 5 letters EDG 4.66/1.19 4.66/1.19 ************************************************** 4.66/1.21 (6, 5)\Deepee(14, 9)\EDG(12, 8)\Matrix{\Arctic}{2}(6, 5)\EDG[] 4.66/1.21 ************************************************** 4.66/1.22 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]} 4.66/1.22 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 4.77/1.25 EOF