64.73/16.44 YES 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [a, a] -> [], [b, b] -> [a, b, c], [c, c] -> [b, b, b]) 64.73/16.44 reason 64.73/16.44 remap for 3 rules 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [0, 0] -> [], [1, 1] -> [0, 1, 2], [2, 2] -> [1, 1, 1]) 64.73/16.44 reason 64.73/16.44 DP transform 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1], [1#, 1] |-> [0#, 1, 2], [1#, 1] |-> [1#, 2], [1#, 1] |-> [2#], [2#, 2] |-> [1#, 1, 1], [2#, 2] |-> [1#, 1], [2#, 2] |-> [1#]) 64.73/16.44 reason 64.73/16.44 remap for 9 rules 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1], [3, 1] |-> [4, 1, 2], [3, 1] |-> [3, 2], [3, 1] |-> [5], [5, 2] |-> [3, 1, 1], [5, 2] |-> [3, 1], [5, 2] |-> [3]) 64.73/16.44 reason 64.73/16.44 weights 64.73/16.44 Map [(3, 1/1), (5, 1/1)] 64.73/16.44 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1], [3, 1] |-> [3, 2], [3, 1] |-> [5], [5, 2] |-> [3, 1, 1], [5, 2] |-> [3, 1], [5, 2] |-> [3]) 64.73/16.44 reason 64.73/16.44 EDG has 1 SCCs 64.73/16.44 property Termination 64.73/16.44 has value True 64.73/16.44 for SRS ( [3, 1] |-> [3, 2], [3, 1] |-> [5], [5, 2] |-> [3], [5, 2] |-> [3, 1], [5, 2] |-> [3, 1, 1], [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1]) 64.73/16.44 reason 64.73/16.44 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.73/16.44 interpretation 64.73/16.45 0 Wk / 0A - - 0A \ 64.73/16.45 | - - 0A - | 64.73/16.45 | 3A 0A - - | 64.73/16.45 \ - - - 0A / 64.73/16.45 1 Wk / - - - 1A \ 64.73/16.45 | 0A - 3A 3A | 64.73/16.45 | 3A - 0A 4A | 64.73/16.45 \ - - - 0A / 64.73/16.45 2 Wk / 3A - 0A 4A \ 64.73/16.45 | 3A - 4A 1A | 64.73/16.45 | 0A - - - | 64.73/16.45 \ - - - 0A / 64.73/16.45 3 Wk / 3A - 3A 4A \ 64.73/16.45 | - - 1A - | 64.73/16.45 | - - - - | 64.73/16.45 \ - - - 0A / 64.73/16.45 5 Wk / 3A - 1A 0A \ 64.73/16.45 | 2A - 0A - | 64.73/16.45 | - - - - | 64.73/16.45 \ - - - 0A / 64.73/16.45 [3, 1] |-> [3, 2] 64.73/16.45 lhs rhs ge gt 64.73/16.45 Wk / 6A - 3A 7A \ Wk / 6A - 3A 7A \ True False 64.73/16.45 | 4A - 1A 5A | | 1A - - - | 64.73/16.45 | - - - - | | - - - - | 64.73/16.45 \ - - - 0A / \ - - - 0A / 64.73/16.45 [3, 1] |-> [5] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 6A - 3A 7A \ Wk / 3A - 1A 0A \ True True 64.73/16.46 | 4A - 1A 5A | | 2A - 0A - | 64.73/16.46 | - - - - | | - - - - | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [5, 2] |-> [3] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 6A - 3A 7A \ Wk / 3A - 3A 4A \ True False 64.73/16.46 | 5A - 2A 6A | | - - 1A - | 64.73/16.46 | - - - - | | - - - - | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [5, 2] |-> [3, 1] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 6A - 3A 7A \ Wk / 6A - 3A 7A \ True False 64.73/16.46 | 5A - 2A 6A | | 4A - 1A 5A | 64.73/16.46 | - - - - | | - - - - | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [5, 2] |-> [3, 1, 1] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 6A - 3A 7A \ Wk / 6A - 3A 7A \ True False 64.73/16.46 | 5A - 2A 6A | | 4A - 1A 5A | 64.73/16.46 | - - - - | | - - - - | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [0, 0] ->= [] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 64.73/16.46 | 3A 0A - - | | - 0A - - | 64.73/16.46 | 3A - 0A 3A | | - - 0A - | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [1, 1] ->= [0, 1, 2] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / - - - 1A \ Wk / - - - 1A \ True False 64.73/16.46 | 6A - 3A 7A | | 6A - 3A 7A | 64.73/16.46 | 3A - 0A 4A | | 3A - 0A 4A | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 [2, 2] ->= [1, 1, 1] 64.73/16.46 lhs rhs ge gt 64.73/16.46 Wk / 6A - 3A 7A \ Wk / - - - 1A \ True False 64.73/16.46 | 6A - 3A 7A | | 6A - 3A 7A | 64.73/16.46 | 3A - 0A 4A | | 3A - 0A 4A | 64.73/16.46 \ - - - 0A / \ - - - 0A / 64.73/16.46 property Termination 64.73/16.46 has value True 64.73/16.46 for SRS ( [3, 1] |-> [3, 2], [5, 2] |-> [3], [5, 2] |-> [3, 1], [5, 2] |-> [3, 1, 1], [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1]) 64.73/16.46 reason 64.73/16.46 weights 64.73/16.46 Map [(5, 3/1)] 64.73/16.46 64.73/16.46 property Termination 64.73/16.46 has value True 64.73/16.46 for SRS ( [3, 1] |-> [3, 2], [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1]) 64.73/16.46 reason 64.73/16.46 EDG has 1 SCCs 64.73/16.46 property Termination 64.73/16.46 has value True 64.73/16.46 for SRS ( [3, 1] |-> [3, 2], [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1]) 64.73/16.46 reason 64.73/16.46 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.73/16.46 interpretation 64.73/16.46 0 Wk / 0A - - 0A \ 64.73/16.46 | 6A 3A 0A - | 64.73/16.46 | - 0A - - | 64.73/16.46 \ - - - 0A / 64.73/16.47 1 Wk / - - - 1A \ 64.73/16.47 | - - 3A - | 64.73/16.47 | 3A - 0A 4A | 64.73/16.47 \ - - - 0A / 64.73/16.47 2 Wk / 3A - 0A 4A \ 64.73/16.47 | 3A - 0A 5A | 64.73/16.47 | 0A - - - | 64.73/16.47 \ - - - 0A / 64.73/16.47 3 Wk / 0A - 1A - \ 64.73/16.47 | - - - - | 64.73/16.47 | - - - - | 64.73/16.47 \ - - - 0A / 64.73/16.47 [3, 1] |-> [3, 2] 64.73/16.47 lhs rhs ge gt 64.73/16.47 Wk / 4A - 1A 5A \ Wk / 3A - 0A 4A \ True True 64.73/16.47 | - - - - | | - - - - | 64.73/16.47 | - - - - | | - - - - | 64.73/16.47 \ - - - 0A / \ - - - 0A / 64.73/16.47 [0, 0] ->= [] 64.73/16.47 lhs rhs ge gt 64.73/16.47 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 64.73/16.47 | 9A 6A 3A 6A | | - 0A - - | 64.73/16.47 | 6A 3A 0A - | | - - 0A - | 64.73/16.47 \ - - - 0A / \ - - - 0A / 64.73/16.47 [1, 1] ->= [0, 1, 2] 64.73/16.47 lhs rhs ge gt 64.73/16.47 Wk / - - - 1A \ Wk / - - - 1A \ True False 64.73/16.47 | 6A - 3A 7A | | 6A - 3A 7A | 64.73/16.47 | 3A - 0A 4A | | 3A - - - | 64.73/16.47 \ - - - 0A / \ - - - 0A / 64.73/16.47 [2, 2] ->= [1, 1, 1] 64.73/16.47 lhs rhs ge gt 64.73/16.47 Wk / 6A - 3A 7A \ Wk / - - - 1A \ True False 64.73/16.47 | 6A - 3A 7A | | 6A - 3A 7A | 64.73/16.47 | 3A - 0A 4A | | 3A - 0A 4A | 64.73/16.47 \ - - - 0A / \ - - - 0A / 64.73/16.47 property Termination 64.73/16.47 has value True 64.73/16.47 for SRS ( [0, 0] ->= [], [1, 1] ->= [0, 1, 2], [2, 2] ->= [1, 1, 1]) 64.73/16.47 reason 64.73/16.47 EDG has 0 SCCs 64.73/16.47 64.73/16.47 ************************************************** 64.73/16.47 summary 64.73/16.47 ************************************************** 64.73/16.47 SRS with 3 rules on 3 letters Remap { tracing = False} 64.73/16.47 SRS with 3 rules on 3 letters DP transform 64.73/16.47 SRS with 9 rules on 6 letters Remap { tracing = False} 64.73/16.47 SRS with 9 rules on 6 letters weights 64.73/16.47 SRS with 8 rules on 5 letters EDG 65.09/16.47 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.09/16.47 SRS with 7 rules on 5 letters weights 65.09/16.47 SRS with 4 rules on 4 letters EDG 65.09/16.47 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.09/16.47 SRS with 3 rules on 3 letters EDG 65.09/16.47 65.09/16.47 ************************************************** 65.09/16.47 (3, 3)\Deepee(9, 6)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 65.09/16.47 ************************************************** 65.17/16.50 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]} 65.17/16.50 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 65.32/16.58 EOF