85.00/21.52 YES 85.00/21.52 property Termination 85.00/21.52 has value True 85.00/21.53 for SRS ( [a, a] -> [a, b, b, c], [b, c] -> [], [c, b] -> [a, c]) 85.00/21.53 reason 85.00/21.53 remap for 3 rules 85.00/21.53 property Termination 85.00/21.53 has value True 85.00/21.54 for SRS ( [0, 0] -> [0, 1, 1, 2], [1, 2] -> [], [2, 1] -> [0, 2]) 85.00/21.54 reason 85.00/21.54 reverse each lhs and rhs 85.00/21.54 property Termination 85.00/21.54 has value True 85.33/21.58 for SRS ( [0, 0] -> [2, 1, 1, 0], [2, 1] -> [], [1, 2] -> [2, 0]) 85.33/21.60 reason 85.33/21.60 DP transform 85.33/21.60 property Termination 85.33/21.60 has value True 85.33/21.60 for SRS ( [0, 0] ->= [2, 1, 1, 0], [2, 1] ->= [], [1, 2] ->= [2, 0], [0#, 0] |-> [2#, 1, 1, 0], [0#, 0] |-> [1#, 1, 0], [0#, 0] |-> [1#, 0], [1#, 2] |-> [2#, 0], [1#, 2] |-> [0#]) 85.33/21.61 reason 85.33/21.61 remap for 8 rules 85.33/21.61 property Termination 85.33/21.61 has value True 85.33/21.61 for SRS ( [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0], [3, 0] |-> [4, 2, 2, 0], [3, 0] |-> [5, 2, 0], [3, 0] |-> [5, 0], [5, 1] |-> [4, 0], [5, 1] |-> [3]) 85.33/21.61 reason 85.33/21.61 weights 85.43/21.61 Map [(3, 1/2), (5, 1/2)] 85.43/21.61 85.43/21.61 property Termination 85.43/21.61 has value True 85.43/21.62 for SRS ( [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0], [3, 0] |-> [5, 2, 0], [3, 0] |-> [5, 0], [5, 1] |-> [3]) 85.43/21.62 reason 85.43/21.62 EDG has 1 SCCs 85.43/21.62 property Termination 85.43/21.62 has value True 85.43/21.62 for SRS ( [3, 0] |-> [5, 2, 0], [5, 1] |-> [3], [3, 0] |-> [5, 0], [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0]) 85.43/21.62 reason 85.43/21.62 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 85.43/21.62 interpretation 85.43/21.62 0 Wk / - 0A - 0A \ 85.43/21.63 | - 3A 0A 3A | 85.50/21.63 | - 0A - 1A | 85.50/21.63 \ - - - 0A / 85.50/21.64 1 Wk / - 0A - 1A \ 85.50/21.64 | - - 0A - | 85.50/21.65 | - 0A - - | 85.50/21.65 \ - - - 0A / 86.11/21.82 2 Wk / 3A 0A 2A 2A \ 86.11/21.86 | 0A - 0A - | 86.44/21.87 | 3A 0A 2A - | 86.44/21.87 \ - - - 0A / 86.44/21.87 3 Wk / - 4A - 5A \ 86.44/21.87 | - - - - | 86.44/21.87 | - - - - | 86.44/21.87 \ - - - 0A / 86.44/21.87 5 Wk / 4A 3A - 5A \ 86.44/21.87 | - - - - | 86.44/21.87 | - - - - | 86.44/21.87 \ - - - 0A / 86.44/21.87 [3, 0] |-> [5, 2, 0] 86.44/21.87 lhs rhs ge gt 86.44/21.87 Wk / - 7A 4A 7A \ Wk / - 7A 4A 7A \ True False 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 \ - - - 0A / \ - - - 0A / 86.44/21.87 [5, 1] |-> [3] 86.44/21.87 lhs rhs ge gt 86.44/21.87 Wk / - 4A 3A 5A \ Wk / - 4A - 5A \ True False 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 \ - - - 0A / \ - - - 0A / 86.44/21.87 [3, 0] |-> [5, 0] 86.44/21.87 lhs rhs ge gt 86.44/21.87 Wk / - 7A 4A 7A \ Wk / - 6A 3A 6A \ True True 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 | - - - - | | - - - - | 86.44/21.87 \ - - - 0A / \ - - - 0A / 86.44/21.87 [0, 0] ->= [1, 2, 2, 0] 86.44/21.87 lhs rhs ge gt 86.44/21.87 Wk / - 3A 0A 3A \ Wk / - 3A 0A 3A \ True False 86.44/21.87 | - 6A 3A 6A | | - 6A 3A 6A | 86.44/21.87 | - 3A 0A 3A | | - 3A 0A 3A | 86.44/21.87 \ - - - 0A / \ - - - 0A / 86.44/21.87 [1, 2] ->= [] 86.44/21.87 lhs rhs ge gt 86.44/21.88 Wk / 0A - 0A 1A \ Wk / 0A - - - \ True False 86.44/21.88 | 3A 0A 2A - | | - 0A - - | 86.44/21.88 | 0A - 0A - | | - - 0A - | 86.44/21.88 \ - - - 0A / \ - - - 0A / 86.44/21.88 [2, 1] ->= [1, 0] 86.44/21.88 lhs rhs ge gt 86.44/21.88 Wk / - 3A 0A 4A \ Wk / - 3A 0A 3A \ True False 86.44/21.88 | - 0A - 1A | | - 0A - 1A | 86.44/21.88 | - 3A 0A 4A | | - 3A 0A 3A | 86.44/21.88 \ - - - 0A / \ - - - 0A / 86.44/21.88 property Termination 86.44/21.88 has value True 86.44/21.88 for SRS ( [3, 0] |-> [5, 2, 0], [5, 1] |-> [3], [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0]) 86.44/21.88 reason 86.44/21.88 EDG has 1 SCCs 86.44/21.88 property Termination 86.44/21.88 has value True 86.44/21.88 for SRS ( [3, 0] |-> [5, 2, 0], [5, 1] |-> [3], [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0]) 86.44/21.88 reason 86.44/21.88 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.44/21.88 interpretation 86.44/21.88 0 Wk / 0A 3A - 4A \ 86.44/21.88 | 0A 3A - 4A | 86.44/21.88 | - 0A - 1A | 86.44/21.88 \ - - - 0A / 86.44/21.88 1 Wk / 0A 0A 0A 1A \ 86.44/21.88 | - - 0A 0A | 86.44/21.88 | 0A 3A - 4A | 86.44/21.88 \ - - - 0A / 86.49/21.88 2 Wk / - - 0A 0A \ 86.49/21.88 | 0A - - - | 86.49/21.88 | 0A 0A 3A - | 86.49/21.88 \ - - - 0A / 86.49/21.88 3 Wk / - 3A 3A 3A \ 86.49/21.88 | - - - - | 86.49/21.88 | - - - - | 86.49/21.88 \ - - - 0A / 86.49/21.88 5 Wk / 3A - 0A 6A \ 86.49/21.88 | - - - - | 86.49/21.88 | - - - - | 86.49/21.88 \ - - - 0A / 86.49/21.88 [3, 0] |-> [5, 2, 0] 86.49/21.88 lhs rhs ge gt 86.49/21.88 Wk / 3A 6A - 7A \ Wk / 0A 3A - 6A \ True True 86.49/21.88 | - - - - | | - - - - | 86.49/21.88 | - - - - | | - - - - | 86.49/21.88 \ - - - 0A / \ - - - 0A / 86.49/21.88 [5, 1] |-> [3] 86.49/21.88 lhs rhs ge gt 86.49/21.88 Wk / 3A 3A 3A 6A \ Wk / - 3A 3A 3A \ True False 86.49/21.88 | - - - - | | - - - - | 86.49/21.88 | - - - - | | - - - - | 86.49/21.88 \ - - - 0A / \ - - - 0A / 86.49/21.88 [0, 0] ->= [1, 2, 2, 0] 86.49/21.88 lhs rhs ge gt 86.49/21.88 Wk / 3A 6A - 7A \ Wk / 3A 6A - 7A \ True False 86.49/21.88 | 3A 6A - 7A | | 3A 6A - 7A | 86.49/21.88 | 0A 3A - 4A | | 0A 3A - 4A | 86.49/21.88 \ - - - 0A / \ - - - 0A / 86.49/21.88 [1, 2] ->= [] 86.49/21.88 lhs rhs ge gt 86.49/21.88 Wk / 0A 0A 3A 1A \ Wk / 0A - - - \ True False 86.49/21.88 | 0A 0A 3A 0A | | - 0A - - | 86.49/21.88 | 3A - 0A 4A | | - - 0A - | 86.49/21.88 \ - - - 0A / \ - - - 0A / 86.49/21.88 [2, 1] ->= [1, 0] 86.49/21.88 lhs rhs ge gt 86.49/21.88 Wk / 0A 3A - 4A \ Wk / 0A 3A - 4A \ True False 86.49/21.88 | 0A 0A 0A 1A | | - 0A - 1A | 86.49/21.88 | 3A 6A 0A 7A | | 3A 6A - 7A | 86.49/21.88 \ - - - 0A / \ - - - 0A / 86.49/21.88 property Termination 86.49/21.88 has value True 86.49/21.88 for SRS ( [5, 1] |-> [3], [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0]) 86.49/21.88 reason 86.49/21.88 weights 86.49/21.88 Map [(5, 1/1)] 86.49/21.88 86.49/21.88 property Termination 86.49/21.88 has value True 86.49/21.88 for SRS ( [0, 0] ->= [1, 2, 2, 0], [1, 2] ->= [], [2, 1] ->= [1, 0]) 86.49/21.88 reason 86.49/21.88 EDG has 0 SCCs 86.49/21.88 86.49/21.88 ************************************************** 86.49/21.88 summary 86.49/21.88 ************************************************** 86.49/21.88 SRS with 3 rules on 3 letters Remap { tracing = False} 86.49/21.88 SRS with 3 rules on 3 letters reverse each lhs and rhs 86.49/21.88 SRS with 3 rules on 3 letters DP transform 86.49/21.88 SRS with 8 rules on 6 letters Remap { tracing = False} 86.49/21.88 SRS with 8 rules on 6 letters weights 86.49/21.88 SRS with 6 rules on 5 letters EDG 86.49/21.89 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.49/21.89 SRS with 5 rules on 5 letters EDG 86.49/21.89 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.49/21.89 SRS with 4 rules on 5 letters weights 86.49/21.89 SRS with 3 rules on 3 letters EDG 86.49/21.89 86.49/21.89 ************************************************** 86.49/21.89 (3, 3)\Deepee(8, 6)\Weight(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 86.49/21.89 ************************************************** 86.49/21.90 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]} 86.49/21.90 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 86.65/21.96 EOF