62.75/15.90 YES 62.75/15.90 property Termination 62.75/15.90 has value True 62.95/15.90 for SRS ( [a, a] -> [a, b, c], [c, a] -> [], [c, b] -> [a, a, c]) 62.95/15.90 reason 62.95/15.90 remap for 3 rules 62.95/15.90 property Termination 62.95/15.90 has value True 62.95/15.92 for SRS ( [0, 0] -> [0, 1, 2], [2, 0] -> [], [2, 1] -> [0, 0, 2]) 62.95/15.92 reason 62.95/15.92 reverse each lhs and rhs 62.95/15.92 property Termination 62.95/15.92 has value True 62.95/15.94 for SRS ( [0, 0] -> [2, 1, 0], [0, 2] -> [], [1, 2] -> [2, 0, 0]) 62.95/15.94 reason 62.95/15.94 DP transform 62.95/15.94 property Termination 62.95/15.94 has value True 63.58/16.11 for SRS ( [0, 0] ->= [2, 1, 0], [0, 2] ->= [], [1, 2] ->= [2, 0, 0], [0#, 0] |-> [1#, 0], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#]) 63.58/16.11 reason 63.77/16.11 remap for 6 rules 63.77/16.11 property Termination 63.77/16.11 has value True 63.93/16.24 for SRS ( [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0], [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [4, 1] |-> [3]) 63.93/16.24 reason 63.93/16.24 EDG has 1 SCCs 63.93/16.24 property Termination 63.93/16.24 has value True 63.93/16.25 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3], [4, 1] |-> [3, 0], [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0]) 63.93/16.25 reason 63.93/16.25 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 63.93/16.25 interpretation 64.33/16.25 0 Wk / - 0A - 0A \ 64.33/16.25 | 0A 3A - 3A | 64.33/16.25 | 4A 0A - 2A | 64.33/16.25 \ - - - 0A / 64.33/16.25 1 Wk / - 0A 1A 0A \ 64.33/16.25 | 0A - - 1A | 64.33/16.25 | - - - - | 64.33/16.25 \ - - - 0A / 64.33/16.25 2 Wk / 6A 3A - 6A \ 64.33/16.25 | 3A 0A - - | 64.33/16.25 | - - - 1A | 64.33/16.25 \ - - - 0A / 64.33/16.25 3 Wk / 0A 4A - - \ 64.33/16.25 | - 0A - 0A | 64.33/16.25 | - - - - | 64.33/16.25 \ - - - 0A / 64.33/16.26 4 Wk / 7A 4A - 6A \ 64.33/16.26 | 3A 0A - - | 64.33/16.26 | - - - - | 64.33/16.26 \ - - - 0A / 64.33/16.26 [3, 0] |-> [4, 0] 64.33/16.29 lhs rhs ge gt 64.33/16.29 Wk / 4A 7A - 7A \ Wk / 4A 7A - 7A \ True False 64.33/16.29 | 0A 3A - 3A | | 0A 3A - 3A | 64.33/16.29 | - - - - | | - - - - | 64.33/16.29 \ - - - 0A / \ - - - 0A / 64.33/16.29 [4, 1] |-> [3] 64.71/16.44 lhs rhs ge gt 64.71/16.44 Wk / 4A 7A 8A 7A \ Wk / 0A 4A - - \ True True 64.71/16.44 | 0A 3A 4A 3A | | - 0A - 0A | 64.71/16.44 | - - - - | | - - - - | 64.71/16.44 \ - - - 0A / \ - - - 0A / 64.71/16.44 [4, 1] |-> [3, 0] 64.71/16.44 lhs rhs ge gt 64.71/16.44 Wk / 4A 7A 8A 7A \ Wk / 4A 7A - 7A \ True False 64.71/16.44 | 0A 3A 4A 3A | | 0A 3A - 3A | 64.71/16.44 | - - - - | | - - - - | 64.71/16.44 \ - - - 0A / \ - - - 0A / 64.71/16.44 [0, 0] ->= [1, 2, 0] 64.71/16.44 lhs rhs ge gt 64.71/16.44 Wk / 0A 3A - 3A \ Wk / 0A 3A - 3A \ True False 64.71/16.44 | 3A 6A - 6A | | 3A 6A - 6A | 64.71/16.44 | 0A 4A - 4A | | - - - - | 64.71/16.44 \ - - - 0A / \ - - - 0A / 64.71/16.44 [0, 1] ->= [] 64.71/16.45 lhs rhs ge gt 64.71/16.45 Wk / 0A - - 1A \ Wk / 0A - - - \ True False 64.71/16.45 | 3A 0A 1A 4A | | - 0A - - | 64.71/16.45 | 0A 4A 5A 4A | | - - 0A - | 64.71/16.45 \ - - - 0A / \ - - - 0A / 64.71/16.45 [2, 1] ->= [1, 0, 0] 64.71/16.45 lhs rhs ge gt 64.71/16.45 Wk / 3A 6A 7A 6A \ Wk / 3A 6A - 6A \ True False 64.71/16.45 | 0A 3A 4A 3A | | 0A 3A - 3A | 64.71/16.45 | - - - 1A | | - - - - | 64.71/16.45 \ - - - 0A / \ - - - 0A / 64.71/16.45 property Termination 64.71/16.45 has value True 64.71/16.45 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0]) 64.71/16.45 reason 64.71/16.45 EDG has 1 SCCs 64.71/16.45 property Termination 64.71/16.45 has value True 64.71/16.45 for SRS ( [3, 0] |-> [4, 0], [4, 1] |-> [3, 0], [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0]) 64.71/16.45 reason 64.71/16.45 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.71/16.45 interpretation 65.11/16.45 0 Wk / - 0A - 0A \ 65.11/16.45 | 0A 2A - 3A | 65.11/16.45 | - 0A - - | 65.11/16.45 \ - - - 0A / 65.11/16.45 1 Wk / 0A 0A - 3A \ 65.11/16.45 | 0A - 0A - | 65.11/16.45 | 0A 2A - 3A | 65.11/16.45 \ - - - 0A / 65.11/16.45 2 Wk / - - 2A 3A \ 65.11/16.45 | 0A - 0A - | 65.11/16.45 | 4A - 4A 5A | 65.11/16.45 \ - - - 0A / 65.11/16.45 3 Wk / 2A 0A 4A 6A \ 65.11/16.45 | 3A 0A - 4A | 65.11/16.45 | - - - - | 65.11/16.45 \ - - - 0A / 65.11/16.45 4 Wk / 4A - 4A 5A \ 65.11/16.45 | 2A 0A 3A - | 65.11/16.45 | - - - - | 65.11/16.45 \ - - - 0A / 65.11/16.45 [3, 0] |-> [4, 0] 65.11/16.45 lhs rhs ge gt 65.11/16.45 Wk / 0A 4A - 6A \ Wk / - 4A - 5A \ True False 65.11/16.45 | 0A 3A - 4A | | 0A 3A - 3A | 65.11/16.45 | - - - - | | - - - - | 65.11/16.45 \ - - - 0A / \ - - - 0A / 65.11/16.45 [4, 1] |-> [3, 0] 65.11/16.45 lhs rhs ge gt 65.11/16.45 Wk / 4A 6A - 7A \ Wk / 0A 4A - 6A \ True True 65.11/16.45 | 3A 5A 0A 6A | | 0A 3A - 4A | 65.11/16.45 | - - - - | | - - - - | 65.11/16.45 \ - - - 0A / \ - - - 0A / 65.11/16.45 [0, 0] ->= [1, 2, 0] 65.11/16.45 lhs rhs ge gt 65.11/16.45 Wk / 0A 2A - 3A \ Wk / - 2A - 3A \ True False 65.11/16.45 | 2A 4A - 5A | | - 4A - 5A | 65.11/16.45 | 0A 2A - 3A | | - 2A - 3A | 65.11/16.45 \ - - - 0A / \ - - - 0A / 65.11/16.45 [0, 1] ->= [] 65.11/16.45 lhs rhs ge gt 65.11/16.45 Wk / 0A - 0A 0A \ Wk / 0A - - - \ True False 65.11/16.45 | 2A 0A 2A 3A | | - 0A - - | 65.11/16.45 | 0A - 0A - | | - - 0A - | 65.11/16.45 \ - - - 0A / \ - - - 0A / 65.11/16.45 [2, 1] ->= [1, 0, 0] 65.11/16.46 lhs rhs ge gt 65.11/16.46 Wk / 2A 4A - 5A \ Wk / 2A 4A - 5A \ True False 65.11/16.46 | 0A 2A - 3A | | 0A 2A - 3A | 65.11/16.46 | 4A 6A - 7A | | 4A 6A - 7A | 65.11/16.46 \ - - - 0A / \ - - - 0A / 65.11/16.46 property Termination 65.11/16.46 has value True 65.11/16.46 for SRS ( [3, 0] |-> [4, 0], [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0]) 65.11/16.46 reason 65.11/16.46 weights 65.11/16.46 Map [(3, 1/1)] 65.11/16.46 65.11/16.46 property Termination 65.11/16.46 has value True 65.11/16.46 for SRS ( [0, 0] ->= [1, 2, 0], [0, 1] ->= [], [2, 1] ->= [1, 0, 0]) 65.11/16.46 reason 65.11/16.46 EDG has 0 SCCs 65.11/16.46 65.11/16.46 ************************************************** 65.11/16.46 summary 65.11/16.46 ************************************************** 65.11/16.46 SRS with 3 rules on 3 letters Remap { tracing = False} 65.11/16.46 SRS with 3 rules on 3 letters reverse each lhs and rhs 65.11/16.46 SRS with 3 rules on 3 letters DP transform 65.11/16.46 SRS with 6 rules on 5 letters Remap { tracing = False} 65.11/16.46 SRS with 6 rules on 5 letters EDG 65.11/16.46 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.11/16.46 SRS with 5 rules on 5 letters EDG 65.11/16.46 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.11/16.46 SRS with 4 rules on 5 letters weights 65.11/16.46 SRS with 3 rules on 3 letters EDG 65.11/16.46 65.11/16.46 ************************************************** 65.11/16.47 (3, 3)\Deepee(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 65.11/16.47 ************************************************** 65.32/16.50 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]} 65.32/16.50 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 65.53/16.59 EOF