10.23/2.65 YES 10.48/2.66 property Termination 10.48/2.66 has value True 10.48/2.66 for SRS ( [a] -> [], [a, a] -> [b, b, c], [c] -> [], [c, b] -> [b, c, a]) 10.48/2.66 reason 10.51/2.66 remap for 4 rules 10.51/2.67 property Termination 10.51/2.68 has value True 11.42/2.90 for SRS ( [0] -> [], [0, 0] -> [1, 1, 2], [2] -> [], [2, 1] -> [1, 2, 0]) 11.42/2.90 reason 11.42/2.90 reverse each lhs and rhs 11.42/2.90 property Termination 11.42/2.90 has value True 11.42/2.90 for SRS ( [0] -> [], [0, 0] -> [2, 1, 1], [2] -> [], [1, 2] -> [0, 2, 1]) 11.42/2.90 reason 11.42/2.90 DP transform 11.42/2.90 property Termination 11.42/2.91 has value True 11.42/2.92 for SRS ( [0] ->= [], [0, 0] ->= [2, 1, 1], [2] ->= [], [1, 2] ->= [0, 2, 1], [0#, 0] |-> [2#, 1, 1], [0#, 0] |-> [1#, 1], [0#, 0] |-> [1#], [1#, 2] |-> [0#, 2, 1], [1#, 2] |-> [2#, 1], [1#, 2] |-> [1#]) 11.42/2.92 reason 11.42/2.92 remap for 10 rules 11.42/2.92 property Termination 11.42/2.92 has value True 11.42/2.92 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2], [3, 0] |-> [4, 2, 2], [3, 0] |-> [5, 2], [3, 0] |-> [5], [5, 1] |-> [3, 1, 2], [5, 1] |-> [4, 2], [5, 1] |-> [5]) 11.42/2.92 reason 11.42/2.92 weights 11.42/2.92 Map [(3, 1/2), (5, 1/2)] 11.42/2.92 11.42/2.92 property Termination 11.42/2.92 has value True 11.71/3.00 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2], [3, 0] |-> [5, 2], [3, 0] |-> [5], [5, 1] |-> [3, 1, 2], [5, 1] |-> [5]) 11.71/3.00 reason 11.71/3.00 EDG has 1 SCCs 11.71/3.00 property Termination 11.71/3.00 has value True 11.88/3.01 for SRS ( [3, 0] |-> [5, 2], [5, 1] |-> [5], [5, 1] |-> [3, 1, 2], [3, 0] |-> [5], [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.01 reason 11.88/3.01 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.01 interpretation 11.88/3.01 0 / 0A 2A \ 11.88/3.01 \ 0A 2A / 11.88/3.01 1 / 2A 2A \ 11.88/3.01 \ 0A 0A / 11.88/3.01 2 / 0A 0A \ 11.88/3.01 \ 0A 0A / 11.88/3.01 3 / 5A 5A \ 11.88/3.01 \ 5A 5A / 11.88/3.01 5 / 5A 5A \ 11.88/3.01 \ 5A 5A / 11.88/3.01 [3, 0] |-> [5, 2] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 5A 7A \ / 5A 5A \ True False 11.88/3.01 \ 5A 7A / \ 5A 5A / 11.88/3.01 [5, 1] |-> [5] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 7A 7A \ / 5A 5A \ True True 11.88/3.01 \ 7A 7A / \ 5A 5A / 11.88/3.01 [5, 1] |-> [3, 1, 2] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 7A 7A \ / 7A 7A \ True False 11.88/3.01 \ 7A 7A / \ 7A 7A / 11.88/3.01 [3, 0] |-> [5] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 5A 7A \ / 5A 5A \ True False 11.88/3.01 \ 5A 7A / \ 5A 5A / 11.88/3.01 [0] ->= [] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 0A 2A \ / 0A - \ True False 11.88/3.01 \ 0A 2A / \ - 0A / 11.88/3.01 [0, 0] ->= [1, 2, 2] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 2A 4A \ / 2A 2A \ True False 11.88/3.01 \ 2A 4A / \ 0A 0A / 11.88/3.01 [1] ->= [] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 2A 2A \ / 0A - \ True False 11.88/3.01 \ 0A 0A / \ - 0A / 11.88/3.01 [2, 1] ->= [0, 1, 2] 11.88/3.01 lhs rhs ge gt 11.88/3.01 / 2A 2A \ / 2A 2A \ True False 11.88/3.01 \ 2A 2A / \ 2A 2A / 11.88/3.01 property Termination 11.88/3.01 has value True 11.88/3.01 for SRS ( [3, 0] |-> [5, 2], [5, 1] |-> [3, 1, 2], [3, 0] |-> [5], [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.01 reason 11.88/3.01 EDG has 1 SCCs 11.88/3.01 property Termination 11.88/3.01 has value True 11.88/3.01 for SRS ( [3, 0] |-> [5, 2], [5, 1] |-> [3, 1, 2], [3, 0] |-> [5], [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.01 reason 11.88/3.01 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.01 interpretation 11.88/3.01 0 / 2A 2A \ 11.88/3.01 \ 0A 0A / 11.88/3.02 1 / 0A 2A \ 11.88/3.02 \ 0A 2A / 11.88/3.02 2 / 0A 2A \ 11.88/3.02 \ -2A 0A / 11.88/3.02 3 / 27A 27A \ 11.88/3.02 \ 27A 27A / 11.88/3.02 5 / 27A 27A \ 11.88/3.02 \ 27A 27A / 11.88/3.02 [3, 0] |-> [5, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 29A 29A \ / 27A 29A \ True False 11.88/3.02 \ 29A 29A / \ 27A 29A / 11.88/3.02 [5, 1] |-> [3, 1, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 27A 29A \ / 27A 29A \ True False 11.88/3.02 \ 27A 29A / \ 27A 29A / 11.88/3.02 [3, 0] |-> [5] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 29A 29A \ / 27A 27A \ True True 11.88/3.02 \ 29A 29A / \ 27A 27A / 11.88/3.02 [0] ->= [] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 2A 2A \ / 0A - \ True False 11.88/3.02 \ 0A 0A / \ - 0A / 11.88/3.02 [0, 0] ->= [1, 2, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 4A 4A \ / 0A 2A \ True False 11.88/3.02 \ 2A 2A / \ 0A 2A / 11.88/3.02 [1] ->= [] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 0A 2A \ / 0A - \ True False 11.88/3.02 \ 0A 2A / \ - 0A / 11.88/3.02 [2, 1] ->= [0, 1, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 2A 4A \ / 2A 4A \ True False 11.88/3.02 \ 0A 2A / \ 0A 2A / 11.88/3.02 property Termination 11.88/3.02 has value True 11.88/3.02 for SRS ( [3, 0] |-> [5, 2], [5, 1] |-> [3, 1, 2], [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.02 reason 11.88/3.02 EDG has 1 SCCs 11.88/3.02 property Termination 11.88/3.02 has value True 11.88/3.02 for SRS ( [3, 0] |-> [5, 2], [5, 1] |-> [3, 1, 2], [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.02 reason 11.88/3.02 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.02 interpretation 11.88/3.02 0 / 0A 2A \ 11.88/3.02 \ 0A 0A / 11.88/3.02 1 / 0A 2A \ 11.88/3.02 \ 0A 2A / 11.88/3.02 2 / 0A 2A \ 11.88/3.02 \ -2A 0A / 11.88/3.02 3 / 5A 5A \ 11.88/3.02 \ 5A 5A / 11.88/3.02 5 / 4A 6A \ 11.88/3.02 \ 4A 6A / 11.88/3.02 [3, 0] |-> [5, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 5A 7A \ / 4A 6A \ True True 11.88/3.02 \ 5A 7A / \ 4A 6A / 11.88/3.02 [5, 1] |-> [3, 1, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 6A 8A \ / 5A 7A \ True True 11.88/3.02 \ 6A 8A / \ 5A 7A / 11.88/3.02 [0] ->= [] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 0A 2A \ / 0A - \ True False 11.88/3.02 \ 0A 0A / \ - 0A / 11.88/3.02 [0, 0] ->= [1, 2, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 2A 2A \ / 0A 2A \ True False 11.88/3.02 \ 0A 2A / \ 0A 2A / 11.88/3.02 [1] ->= [] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 0A 2A \ / 0A - \ True False 11.88/3.02 \ 0A 2A / \ - 0A / 11.88/3.02 [2, 1] ->= [0, 1, 2] 11.88/3.02 lhs rhs ge gt 11.88/3.02 / 2A 4A \ / 2A 4A \ True False 11.88/3.02 \ 0A 2A / \ 0A 2A / 11.88/3.02 property Termination 11.88/3.02 has value True 11.88/3.02 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2], [1] ->= [], [2, 1] ->= [0, 1, 2]) 11.88/3.02 reason 11.88/3.02 EDG has 0 SCCs 11.88/3.02 11.88/3.02 ************************************************** 11.88/3.02 summary 11.88/3.02 ************************************************** 11.88/3.02 SRS with 4 rules on 3 letters Remap { tracing = False} 11.88/3.02 SRS with 4 rules on 3 letters reverse each lhs and rhs 11.88/3.02 SRS with 4 rules on 3 letters DP transform 11.88/3.02 SRS with 10 rules on 6 letters Remap { tracing = False} 11.88/3.02 SRS with 10 rules on 6 letters weights 11.88/3.02 SRS with 8 rules on 5 letters EDG 11.88/3.02 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.02 SRS with 7 rules on 5 letters EDG 11.88/3.02 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.02 SRS with 6 rules on 5 letters EDG 11.88/3.02 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 11.88/3.02 SRS with 4 rules on 3 letters EDG 11.88/3.02 11.88/3.02 ************************************************** 11.88/3.02 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{2}(7, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{2}(4, 3)\EDG[] 11.88/3.02 ************************************************** 12.06/3.06 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]} 12.06/3.06 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 12.06/3.12 EOF