4.25/1.10 YES 4.25/1.10 property Termination 4.25/1.10 has value True 4.25/1.11 for SRS ( [a] -> [], [a, b] -> [b, a, c], [b] -> [], [c, c] -> [b, a]) 4.25/1.11 reason 4.25/1.12 remap for 4 rules 4.25/1.12 property Termination 4.25/1.12 has value True 4.25/1.12 for SRS ( [0] -> [], [0, 1] -> [1, 0, 2], [1] -> [], [2, 2] -> [1, 0]) 4.25/1.13 reason 4.25/1.13 reverse each lhs and rhs 4.25/1.13 property Termination 4.25/1.13 has value True 4.25/1.13 for SRS ( [0] -> [], [1, 0] -> [2, 0, 1], [1] -> [], [2, 2] -> [0, 1]) 4.25/1.13 reason 4.25/1.13 DP transform 4.25/1.13 property Termination 4.25/1.13 has value True 4.25/1.14 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1], [1#, 0] |-> [2#, 0, 1], [1#, 0] |-> [0#, 1], [1#, 0] |-> [1#], [2#, 2] |-> [0#, 1], [2#, 2] |-> [1#]) 4.25/1.14 reason 4.25/1.14 remap for 9 rules 4.25/1.14 property Termination 4.25/1.14 has value True 4.25/1.14 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [5, 1], [3, 0] |-> [3], [4, 2] |-> [5, 1], [4, 2] |-> [3]) 4.25/1.14 reason 4.25/1.14 weights 4.25/1.14 Map [(3, 1/2), (4, 1/2)] 4.25/1.14 4.25/1.14 property Termination 4.25/1.14 has value True 4.25/1.14 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [3], [4, 2] |-> [3]) 4.25/1.14 reason 4.25/1.14 EDG has 1 SCCs 4.25/1.14 property Termination 4.25/1.14 has value True 4.25/1.15 for SRS ( [3, 0] |-> [4, 0, 1], [4, 2] |-> [3], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1]) 4.25/1.15 reason 4.25/1.15 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.25/1.15 interpretation 4.25/1.15 0 / 0A 2A \ 4.25/1.15 \ 0A 2A / 4.25/1.15 1 / 0A 2A \ 4.25/1.15 \ -2A 0A / 4.25/1.16 2 / 2A 2A \ 4.25/1.16 \ 0A 0A / 4.25/1.16 3 / 17A 17A \ 4.25/1.16 \ 17A 17A / 4.25/1.16 4 / 16A 17A \ 4.25/1.16 \ 16A 17A / 4.25/1.16 [3, 0] |-> [4, 0, 1] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 17A 19A \ / 17A 19A \ True False 4.25/1.16 \ 17A 19A / \ 17A 19A / 4.25/1.16 [4, 2] |-> [3] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 18A 18A \ / 17A 17A \ True True 4.25/1.16 \ 18A 18A / \ 17A 17A / 4.25/1.16 [3, 0] |-> [3] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 17A 19A \ / 17A 17A \ True False 4.25/1.16 \ 17A 19A / \ 17A 17A / 4.25/1.16 [0] ->= [] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 0A 2A \ / 0A - \ True False 4.25/1.16 \ 0A 2A / \ - 0A / 4.25/1.16 [1, 0] ->= [2, 0, 1] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 2A 4A \ / 2A 4A \ True False 4.25/1.16 \ 0A 2A / \ 0A 2A / 4.25/1.16 [1] ->= [] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 0A 2A \ / 0A - \ True False 4.25/1.16 \ -2A 0A / \ - 0A / 4.25/1.16 [2, 2] ->= [0, 1] 4.25/1.16 lhs rhs ge gt 4.25/1.16 / 4A 4A \ / 0A 2A \ True False 4.25/1.16 \ 2A 2A / \ 0A 2A / 4.25/1.16 property Termination 4.25/1.16 has value True 4.25/1.16 for SRS ( [3, 0] |-> [4, 0, 1], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1]) 4.25/1.16 reason 4.25/1.16 weights 4.25/1.16 Map [(3, 1/1)] 4.25/1.16 4.25/1.16 property Termination 4.25/1.16 has value True 4.25/1.16 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1]) 4.25/1.16 reason 4.25/1.16 EDG has 1 SCCs 4.25/1.16 property Termination 4.25/1.16 has value True 4.52/1.16 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1]) 4.52/1.16 reason 4.52/1.16 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.52/1.16 interpretation 4.52/1.16 0 / 2A 2A \ 4.52/1.16 \ 0A 0A / 4.52/1.16 1 / 0A 0A \ 4.52/1.16 \ 0A 0A / 4.52/1.16 2 / 0A 2A \ 4.52/1.16 \ 0A 2A / 4.52/1.16 3 / 23A 23A \ 4.52/1.16 \ 23A 23A / 4.52/1.16 [3, 0] |-> [3] 4.52/1.16 lhs rhs ge gt 4.52/1.16 / 25A 25A \ / 23A 23A \ True True 4.52/1.16 \ 25A 25A / \ 23A 23A / 4.52/1.16 [0] ->= [] 4.52/1.16 lhs rhs ge gt 4.52/1.16 / 2A 2A \ / 0A - \ True False 4.52/1.16 \ 0A 0A / \ - 0A / 4.52/1.16 [1, 0] ->= [2, 0, 1] 4.52/1.16 lhs rhs ge gt 4.52/1.16 / 2A 2A \ / 2A 2A \ True False 4.52/1.16 \ 2A 2A / \ 2A 2A / 4.52/1.16 [1] ->= [] 4.52/1.16 lhs rhs ge gt 4.52/1.16 / 0A 0A \ / 0A - \ True False 4.52/1.16 \ 0A 0A / \ - 0A / 4.52/1.16 [2, 2] ->= [0, 1] 4.52/1.16 lhs rhs ge gt 4.52/1.16 / 2A 4A \ / 2A 2A \ True False 4.52/1.16 \ 2A 4A / \ 0A 0A / 4.52/1.16 property Termination 4.52/1.16 has value True 4.52/1.18 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1]) 4.52/1.18 reason 4.52/1.18 EDG has 0 SCCs 4.52/1.18 4.52/1.18 ************************************************** 4.52/1.18 summary 4.52/1.18 ************************************************** 4.52/1.18 SRS with 4 rules on 3 letters Remap { tracing = False} 4.52/1.18 SRS with 4 rules on 3 letters reverse each lhs and rhs 4.52/1.18 SRS with 4 rules on 3 letters DP transform 4.52/1.18 SRS with 9 rules on 6 letters Remap { tracing = False} 4.52/1.18 SRS with 9 rules on 6 letters weights 4.52/1.18 SRS with 7 rules on 5 letters EDG 4.52/1.18 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.78/1.24 SRS with 6 rules on 5 letters weights 4.78/1.30 SRS with 5 rules on 4 letters EDG 6.32/1.66 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 6.32/1.66 SRS with 4 rules on 3 letters EDG 6.32/1.66 6.32/1.66 ************************************************** 6.59/1.70 (4, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{2}(6, 5)\Weight(5, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[] 6.59/1.70 ************************************************** 6.96/1.81 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]} 6.96/1.81 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 7.11/1.85 EOF