28.59/7.23 YES 28.59/7.23 property Termination 28.59/7.23 has value True 28.59/7.23 for SRS ( [a] -> [], [a, a, b] -> [c, a, a, a], [c, a] -> [b, b]) 28.59/7.23 reason 28.59/7.23 remap for 3 rules 28.59/7.23 property Termination 28.59/7.23 has value True 28.59/7.23 for SRS ( [0] -> [], [0, 0, 1] -> [2, 0, 0, 0], [2, 0] -> [1, 1]) 28.59/7.23 reason 28.59/7.23 reverse each lhs and rhs 28.59/7.23 property Termination 28.59/7.23 has value True 28.59/7.23 for SRS ( [0] -> [], [1, 0, 0] -> [0, 0, 0, 2], [0, 2] -> [1, 1]) 28.59/7.23 reason 28.59/7.24 DP transform 28.59/7.24 property Termination 28.59/7.24 has value True 28.63/7.27 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1], [1#, 0, 0] |-> [0#, 0, 0, 2], [1#, 0, 0] |-> [0#, 0, 2], [1#, 0, 0] |-> [0#, 2], [0#, 2] |-> [1#, 1], [0#, 2] |-> [1#]) 28.63/7.27 reason 28.63/7.27 remap for 8 rules 28.63/7.27 property Termination 28.63/7.27 has value True 28.63/7.27 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1], [3, 0, 0] |-> [4, 0, 0, 2], [3, 0, 0] |-> [4, 0, 2], [3, 0, 0] |-> [4, 2], [4, 2] |-> [3, 1], [4, 2] |-> [3]) 28.63/7.27 reason 28.63/7.27 EDG has 1 SCCs 28.63/7.27 property Termination 28.63/7.27 has value True 28.63/7.28 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [4, 2] |-> [3], [3, 0, 0] |-> [4, 2], [4, 2] |-> [3, 1], [3, 0, 0] |-> [4, 0, 2], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 28.63/7.28 reason 28.63/7.29 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.63/7.29 interpretation 28.63/7.29 0 / 0A 2A \ 28.63/7.29 \ 0A 0A / 28.63/7.29 1 / 0A 0A \ 28.63/7.29 \ 0A 0A / 28.63/7.29 2 / 0A 0A \ 28.63/7.29 \ -2A -2A / 28.63/7.31 3 / 25A 25A \ 28.63/7.31 \ 25A 25A / 28.91/7.32 4 / 25A 27A \ 28.91/7.32 \ 25A 27A / 28.91/7.36 [3, 0, 0] |-> [4, 0, 0, 2] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 27A 27A \ / 27A 27A \ True False 28.91/7.37 \ 27A 27A / \ 27A 27A / 28.91/7.37 [4, 2] |-> [3] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 25A 25A \ / 25A 25A \ True False 28.91/7.37 \ 25A 25A / \ 25A 25A / 28.91/7.37 [3, 0, 0] |-> [4, 2] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 27A 27A \ / 25A 25A \ True True 28.91/7.37 \ 27A 27A / \ 25A 25A / 28.91/7.37 [4, 2] |-> [3, 1] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 25A 25A \ / 25A 25A \ True False 28.91/7.37 \ 25A 25A / \ 25A 25A / 28.91/7.37 [3, 0, 0] |-> [4, 0, 2] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 27A 27A \ / 27A 27A \ True False 28.91/7.37 \ 27A 27A / \ 27A 27A / 28.91/7.37 [0] ->= [] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 0A 2A \ / 0A - \ True False 28.91/7.37 \ 0A 0A / \ - 0A / 28.91/7.37 [1, 0, 0] ->= [0, 0, 0, 2] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 2A 2A \ / 2A 2A \ True False 28.91/7.37 \ 2A 2A / \ 2A 2A / 28.91/7.37 [0, 2] ->= [1, 1] 28.91/7.37 lhs rhs ge gt 28.91/7.37 / 0A 0A \ / 0A 0A \ True False 28.91/7.37 \ 0A 0A / \ 0A 0A / 28.91/7.37 property Termination 28.91/7.37 has value True 28.91/7.37 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [4, 2] |-> [3], [4, 2] |-> [3, 1], [3, 0, 0] |-> [4, 0, 2], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 28.91/7.37 reason 28.91/7.37 EDG has 1 SCCs 28.91/7.37 property Termination 28.91/7.37 has value True 28.91/7.38 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [4, 2] |-> [3, 1], [3, 0, 0] |-> [4, 0, 2], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 28.91/7.38 reason 28.91/7.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 28.91/7.38 interpretation 28.91/7.38 0 / 0A 2A \ 28.91/7.38 \ 0A 0A / 28.91/7.38 1 / 0A 0A \ 28.91/7.38 \ 0A 0A / 28.91/7.38 2 / 0A 0A \ 28.91/7.38 \ -2A -2A / 28.91/7.38 3 / 28A 28A \ 28.91/7.38 \ 28A 28A / 28.91/7.38 4 / 28A 29A \ 28.91/7.38 \ 28A 29A / 28.91/7.38 [3, 0, 0] |-> [4, 0, 0, 2] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 30A 30A \ / 30A 30A \ True False 28.91/7.38 \ 30A 30A / \ 30A 30A / 28.91/7.38 [4, 2] |-> [3, 1] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 28A 28A \ / 28A 28A \ True False 28.91/7.38 \ 28A 28A / \ 28A 28A / 28.91/7.38 [3, 0, 0] |-> [4, 0, 2] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 30A 30A \ / 29A 29A \ True True 28.91/7.38 \ 30A 30A / \ 29A 29A / 28.91/7.38 [4, 2] |-> [3] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 28A 28A \ / 28A 28A \ True False 28.91/7.38 \ 28A 28A / \ 28A 28A / 28.91/7.38 [0] ->= [] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 0A 2A \ / 0A - \ True False 28.91/7.38 \ 0A 0A / \ - 0A / 28.91/7.38 [1, 0, 0] ->= [0, 0, 0, 2] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 2A 2A \ / 2A 2A \ True False 28.91/7.38 \ 2A 2A / \ 2A 2A / 28.91/7.38 [0, 2] ->= [1, 1] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 0A 0A \ / 0A 0A \ True False 28.91/7.38 \ 0A 0A / \ 0A 0A / 28.91/7.38 property Termination 28.91/7.38 has value True 28.91/7.38 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [4, 2] |-> [3, 1], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 28.91/7.38 reason 28.91/7.38 EDG has 1 SCCs 28.91/7.38 property Termination 28.91/7.38 has value True 28.91/7.38 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [4, 2] |-> [3], [4, 2] |-> [3, 1], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 28.91/7.38 reason 28.91/7.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 28.91/7.38 interpretation 28.91/7.38 0 / 0A 0A 3A \ 28.91/7.38 | 0A 0A 0A | 28.91/7.38 \ 0A 0A 0A / 28.91/7.38 1 / 0A 0A 0A \ 28.91/7.38 | 0A 0A 0A | 28.91/7.38 \ 0A 0A 0A / 28.91/7.38 2 / 0A 0A 0A \ 28.91/7.38 | 0A 0A 0A | 28.91/7.38 \ -3A -3A -3A / 28.91/7.38 3 / 22A 22A 22A \ 28.91/7.38 | 22A 22A 22A | 28.91/7.38 \ 22A 22A 22A / 28.91/7.38 4 / 22A 24A 24A \ 28.91/7.38 | 22A 24A 24A | 28.91/7.38 \ 22A 24A 24A / 28.91/7.38 [3, 0, 0] |-> [4, 0, 0, 2] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 25A 25A 25A \ / 25A 25A 25A \ True False 28.91/7.38 | 25A 25A 25A | | 25A 25A 25A | 28.91/7.38 \ 25A 25A 25A / \ 25A 25A 25A / 28.91/7.38 [4, 2] |-> [3] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 24A 24A 24A \ / 22A 22A 22A \ True True 28.91/7.38 | 24A 24A 24A | | 22A 22A 22A | 28.91/7.38 \ 24A 24A 24A / \ 22A 22A 22A / 28.91/7.38 [4, 2] |-> [3, 1] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 24A 24A 24A \ / 22A 22A 22A \ True True 28.91/7.38 | 24A 24A 24A | | 22A 22A 22A | 28.91/7.38 \ 24A 24A 24A / \ 22A 22A 22A / 28.91/7.38 [0] ->= [] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 0A 0A 3A \ / 0A - - \ True False 28.91/7.38 | 0A 0A 0A | | - 0A - | 28.91/7.38 \ 0A 0A 0A / \ - - 0A / 28.91/7.38 [1, 0, 0] ->= [0, 0, 0, 2] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 3A 3A 3A \ / 3A 3A 3A \ True False 28.91/7.38 | 3A 3A 3A | | 3A 3A 3A | 28.91/7.38 \ 3A 3A 3A / \ 3A 3A 3A / 28.91/7.38 [0, 2] ->= [1, 1] 28.91/7.38 lhs rhs ge gt 28.91/7.38 / 0A 0A 0A \ / 0A 0A 0A \ True False 28.91/7.38 | 0A 0A 0A | | 0A 0A 0A | 28.91/7.38 \ 0A 0A 0A / \ 0A 0A 0A / 28.91/7.38 property Termination 28.91/7.38 has value True 29.15/7.38 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 29.15/7.38 reason 29.15/7.38 weights 29.15/7.38 Map [(3, 1/1)] 29.15/7.38 29.15/7.38 property Termination 29.15/7.38 has value True 29.15/7.38 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2], [0, 2] ->= [1, 1]) 29.15/7.38 reason 29.15/7.38 EDG has 0 SCCs 29.15/7.38 29.15/7.38 ************************************************** 29.15/7.38 summary 29.15/7.38 ************************************************** 29.15/7.38 SRS with 3 rules on 3 letters Remap { tracing = False} 29.15/7.38 SRS with 3 rules on 3 letters reverse each lhs and rhs 29.15/7.38 SRS with 3 rules on 3 letters DP transform 29.15/7.38 SRS with 8 rules on 5 letters Remap { tracing = False} 29.15/7.38 SRS with 8 rules on 5 letters EDG 29.15/7.38 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.15/7.38 SRS with 7 rules on 5 letters EDG 29.15/7.38 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.15/7.38 SRS with 6 rules on 5 letters EDG 29.15/7.38 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 29.15/7.38 SRS with 4 rules on 5 letters weights 29.15/7.38 SRS with 3 rules on 3 letters EDG 29.15/7.38 29.15/7.38 ************************************************** 29.15/7.38 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(7, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{3}(4, 5)\Weight(3, 3)\EDG[] 29.15/7.38 ************************************************** 29.15/7.40 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]} 29.15/7.40 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 29.42/7.51 EOF