45.07/11.43 YES 45.24/11.43 property Termination 45.24/11.44 has value True 45.28/11.45 for SRS ( [a] -> [b, b], [c, b] -> [d], [e, b] -> [c, c], [d, b] -> [b, f], [f] -> [a, e], [c] -> [], [a, a] -> [f]) 45.28/11.45 reason 45.28/11.45 remap for 7 rules 45.28/11.45 property Termination 45.28/11.45 has value True 45.28/11.45 for SRS ( [0] -> [1, 1], [2, 1] -> [3], [4, 1] -> [2, 2], [3, 1] -> [1, 5], [5] -> [0, 4], [2] -> [], [0, 0] -> [5]) 45.28/11.45 reason 45.28/11.46 DP transform 45.28/11.46 property Termination 45.28/11.46 has value True 45.28/11.50 for SRS ( [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5], [2#, 1] |-> [3#], [4#, 1] |-> [2#, 2], [4#, 1] |-> [2#], [3#, 1] |-> [5#], [5#] |-> [0#, 4], [5#] |-> [4#], [0#, 0] |-> [5#]) 45.28/11.50 reason 45.28/11.50 remap for 14 rules 45.28/11.50 property Termination 45.28/11.50 has value True 45.28/11.50 for SRS ( [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5], [6, 1] |-> [7], [8, 1] |-> [6, 2], [8, 1] |-> [6], [7, 1] |-> [9], [9] |-> [10, 4], [9] |-> [8], [10, 0] |-> [9]) 45.28/11.50 reason 45.28/11.50 EDG has 1 SCCs 45.28/11.50 property Termination 45.28/11.50 has value True 45.28/11.50 for SRS ( [6, 1] |-> [7], [7, 1] |-> [9], [9] |-> [8], [8, 1] |-> [6], [8, 1] |-> [6, 2], [9] |-> [10, 4], [10, 0] |-> [9], [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.28/11.50 reason 45.28/11.50 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 45.28/11.50 interpretation 45.28/11.50 0 / 3A 3A 6A \ 45.28/11.50 | 3A 3A 3A | 45.28/11.50 \ 0A 3A 3A / 45.28/11.50 1 / 0A 3A 3A \ 45.28/11.50 | 0A 0A 3A | 45.28/11.50 \ 0A 0A 0A / 45.28/11.50 2 / 0A 3A 3A \ 45.28/11.50 | -3A 0A 0A | 45.28/11.50 \ -3A 0A 0A / 45.28/11.50 3 / 3A 3A 6A \ 45.28/11.50 | 0A 0A 3A | 45.28/11.50 \ 0A 0A 3A / 45.28/11.50 4 / 0A 0A 0A \ 45.28/11.50 | -3A -3A -3A | 45.28/11.50 \ -3A -3A -3A / 45.28/11.50 5 / 3A 3A 3A \ 45.28/11.50 | 3A 3A 3A | 45.28/11.50 \ 0A 0A 0A / 45.28/11.50 6 / 21A 21A 21A \ 45.28/11.50 | 21A 21A 21A | 45.28/11.50 \ 21A 21A 21A / 45.28/11.50 7 / 21A 24A 24A \ 45.28/11.50 | 21A 24A 24A | 45.28/11.50 \ 21A 24A 24A / 45.28/11.50 8 / 21A 24A 24A \ 45.28/11.50 | 21A 24A 24A | 45.28/11.50 \ 21A 24A 24A / 45.28/11.50 9 / 24A 24A 24A \ 45.28/11.50 | 24A 24A 24A | 45.28/11.50 \ 24A 24A 24A / 45.28/11.50 10 / 21A 21A 24A \ 45.28/11.50 | 21A 21A 24A | 45.28/11.50 \ 21A 21A 24A / 45.28/11.50 [6, 1] |-> [7] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 21A 24A 24A \ / 21A 24A 24A \ True False 45.28/11.50 | 21A 24A 24A | | 21A 24A 24A | 45.28/11.50 \ 21A 24A 24A / \ 21A 24A 24A / 45.28/11.50 [7, 1] |-> [9] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 24A 24A 27A \ / 24A 24A 24A \ True False 45.28/11.50 | 24A 24A 27A | | 24A 24A 24A | 45.28/11.50 \ 24A 24A 27A / \ 24A 24A 24A / 45.28/11.50 [9] |-> [8] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 24A 24A 24A \ / 21A 24A 24A \ True False 45.28/11.50 | 24A 24A 24A | | 21A 24A 24A | 45.28/11.50 \ 24A 24A 24A / \ 21A 24A 24A / 45.28/11.50 [8, 1] |-> [6] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 24A 24A 27A \ / 21A 21A 21A \ True True 45.28/11.50 | 24A 24A 27A | | 21A 21A 21A | 45.28/11.50 \ 24A 24A 27A / \ 21A 21A 21A / 45.28/11.50 [8, 1] |-> [6, 2] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 24A 24A 27A \ / 21A 24A 24A \ True False 45.28/11.50 | 24A 24A 27A | | 21A 24A 24A | 45.28/11.50 \ 24A 24A 27A / \ 21A 24A 24A / 45.28/11.50 [9] |-> [10, 4] 45.28/11.50 lhs rhs ge gt 45.28/11.50 / 24A 24A 24A \ / 21A 21A 21A \ True True 45.74/11.57 | 24A 24A 24A | | 21A 21A 21A | 45.74/11.57 \ 24A 24A 24A / \ 21A 21A 21A / 45.74/11.57 [10, 0] |-> [9] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 24A 27A 27A \ / 24A 24A 24A \ True False 45.74/11.57 | 24A 27A 27A | | 24A 24A 24A | 45.74/11.57 \ 24A 27A 27A / \ 24A 24A 24A / 45.74/11.57 [0] ->= [1, 1] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 3A 3A 6A \ / 3A 3A 6A \ True False 45.74/11.57 | 3A 3A 3A | | 3A 3A 3A | 45.74/11.57 \ 0A 3A 3A / \ 0A 3A 3A / 45.74/11.57 [2, 1] ->= [3] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 3A 3A 6A \ / 3A 3A 6A \ True False 45.74/11.57 | 0A 0A 3A | | 0A 0A 3A | 45.74/11.57 \ 0A 0A 3A / \ 0A 0A 3A / 45.74/11.57 [4, 1] ->= [2, 2] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 0A 3A 3A \ / 0A 3A 3A \ True False 45.74/11.57 | -3A 0A 0A | | -3A 0A 0A | 45.74/11.57 \ -3A 0A 0A / \ -3A 0A 0A / 45.74/11.57 [3, 1] ->= [1, 5] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 6A 6A 6A \ / 6A 6A 6A \ True False 45.74/11.57 | 3A 3A 3A | | 3A 3A 3A | 45.74/11.57 \ 3A 3A 3A / \ 3A 3A 3A / 45.74/11.57 [5] ->= [0, 4] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 3A 3A 3A \ / 3A 3A 3A \ True False 45.74/11.57 | 3A 3A 3A | | 3A 3A 3A | 45.74/11.57 \ 0A 0A 0A / \ 0A 0A 0A / 45.74/11.57 [2] ->= [] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 0A 3A 3A \ / 0A - - \ True False 45.74/11.57 | -3A 0A 0A | | - 0A - | 45.74/11.57 \ -3A 0A 0A / \ - - 0A / 45.74/11.57 [0, 0] ->= [5] 45.74/11.57 lhs rhs ge gt 45.74/11.57 / 6A 9A 9A \ / 3A 3A 3A \ True True 45.74/11.57 | 6A 6A 9A | | 3A 3A 3A | 45.74/11.57 \ 6A 6A 6A / \ 0A 0A 0A / 45.74/11.57 property Termination 45.74/11.57 has value True 45.74/11.57 for SRS ( [6, 1] |-> [7], [7, 1] |-> [9], [9] |-> [8], [8, 1] |-> [6, 2], [10, 0] |-> [9], [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.74/11.57 reason 45.74/11.57 weights 45.74/11.57 Map [(10, 1/1)] 45.74/11.57 45.74/11.57 property Termination 45.74/11.57 has value True 45.74/11.58 for SRS ( [6, 1] |-> [7], [7, 1] |-> [9], [9] |-> [8], [8, 1] |-> [6, 2], [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.74/11.58 reason 45.74/11.58 EDG has 1 SCCs 45.74/11.58 property Termination 45.74/11.58 has value True 45.74/11.58 for SRS ( [6, 1] |-> [7], [7, 1] |-> [9], [9] |-> [8], [8, 1] |-> [6, 2], [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.74/11.58 reason 45.74/11.58 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 45.74/11.58 interpretation 45.74/11.58 0 / 0A 3A 3A \ 45.74/11.58 | 0A 3A 3A | 45.74/11.58 \ 0A 0A 0A / 45.74/11.58 1 / 0A 0A 3A \ 45.74/11.58 | 0A 0A 0A | 45.74/11.58 \ -3A 0A 0A / 45.74/11.58 2 / 0A 3A 3A \ 45.74/11.58 | -3A 0A 0A | 45.74/11.58 \ -3A 0A 0A / 45.74/11.58 3 / 3A 3A 3A \ 45.74/11.58 | 0A 0A 0A | 45.74/11.58 \ 0A 0A 0A / 45.74/11.58 4 / 0A 0A 3A \ 45.74/11.58 | -3A -3A 0A | 45.74/11.58 \ -3A -3A 0A / 45.74/11.58 5 / 0A 0A 3A \ 45.74/11.58 | 0A 0A 3A | 45.74/11.58 \ 0A 0A 3A / 45.74/11.58 6 / 20A 22A 22A \ 45.74/11.58 | 20A 22A 22A | 45.74/11.58 \ 20A 22A 22A / 45.74/11.58 7 / 21A 21A 23A \ 45.74/11.59 | 21A 21A 23A | 45.74/11.59 \ 21A 21A 23A / 45.74/11.59 8 / 21A 21A 24A \ 45.74/11.59 | 21A 21A 24A | 45.74/11.59 \ 21A 21A 24A / 45.74/11.59 9 / 21A 22A 24A \ 45.74/11.59 | 21A 22A 24A | 45.74/11.59 \ 21A 22A 24A / 45.74/11.59 [6, 1] |-> [7] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 22A 22A 23A \ / 21A 21A 23A \ True False 45.74/11.59 | 22A 22A 23A | | 21A 21A 23A | 45.74/11.59 \ 22A 22A 23A / \ 21A 21A 23A / 45.74/11.59 [7, 1] |-> [9] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 21A 23A 24A \ / 21A 22A 24A \ True False 45.74/11.59 | 21A 23A 24A | | 21A 22A 24A | 45.74/11.59 \ 21A 23A 24A / \ 21A 22A 24A / 45.74/11.59 [9] |-> [8] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 21A 22A 24A \ / 21A 21A 24A \ True False 45.74/11.59 | 21A 22A 24A | | 21A 21A 24A | 45.74/11.59 \ 21A 22A 24A / \ 21A 21A 24A / 45.74/11.59 [8, 1] |-> [6, 2] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 21A 24A 24A \ / 20A 23A 23A \ True True 45.74/11.59 | 21A 24A 24A | | 20A 23A 23A | 45.74/11.59 \ 21A 24A 24A / \ 20A 23A 23A / 45.74/11.59 [0] ->= [1, 1] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 0A 3A 3A \ / 0A 3A 3A \ True False 45.74/11.59 | 0A 3A 3A | | 0A 0A 3A | 45.74/11.59 \ 0A 0A 0A / \ 0A 0A 0A / 45.74/11.59 [2, 1] ->= [3] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 3A 3A 3A \ / 3A 3A 3A \ True False 45.74/11.59 | 0A 0A 0A | | 0A 0A 0A | 45.74/11.59 \ 0A 0A 0A / \ 0A 0A 0A / 45.74/11.59 [4, 1] ->= [2, 2] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 0A 3A 3A \ / 0A 3A 3A \ True False 45.74/11.59 | -3A 0A 0A | | -3A 0A 0A | 45.74/11.59 \ -3A 0A 0A / \ -3A 0A 0A / 45.74/11.59 [3, 1] ->= [1, 5] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 3A 3A 6A \ / 3A 3A 6A \ True False 45.74/11.59 | 0A 0A 3A | | 0A 0A 3A | 45.74/11.59 \ 0A 0A 3A / \ 0A 0A 3A / 45.74/11.59 [5] ->= [0, 4] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 0A 0A 3A \ / 0A 0A 3A \ True False 45.74/11.59 | 0A 0A 3A | | 0A 0A 3A | 45.74/11.59 \ 0A 0A 3A / \ 0A 0A 3A / 45.74/11.59 [2] ->= [] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 0A 3A 3A \ / 0A - - \ True False 45.74/11.59 | -3A 0A 0A | | - 0A - | 45.74/11.59 \ -3A 0A 0A / \ - - 0A / 45.74/11.59 [0, 0] ->= [5] 45.74/11.59 lhs rhs ge gt 45.74/11.59 / 3A 6A 6A \ / 0A 0A 3A \ True False 45.74/11.59 | 3A 6A 6A | | 0A 0A 3A | 45.74/11.59 \ 0A 3A 3A / \ 0A 0A 3A / 45.74/11.59 property Termination 45.74/11.59 has value True 45.74/11.60 for SRS ( [6, 1] |-> [7], [7, 1] |-> [9], [9] |-> [8], [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.74/11.60 reason 45.74/11.60 weights 45.74/11.61 Map [(6, 3/1), (7, 2/1), (9, 1/1)] 45.74/11.61 45.74/11.61 property Termination 45.74/11.61 has value True 45.74/11.61 for SRS ( [0] ->= [1, 1], [2, 1] ->= [3], [4, 1] ->= [2, 2], [3, 1] ->= [1, 5], [5] ->= [0, 4], [2] ->= [], [0, 0] ->= [5]) 45.74/11.61 reason 45.74/11.61 EDG has 0 SCCs 45.74/11.61 45.74/11.61 ************************************************** 45.74/11.61 summary 45.74/11.61 ************************************************** 45.74/11.61 SRS with 7 rules on 6 letters Remap { tracing = False} 45.74/11.61 SRS with 7 rules on 6 letters DP transform 45.74/11.61 SRS with 14 rules on 11 letters Remap { tracing = False} 45.74/11.61 SRS with 14 rules on 11 letters EDG 45.74/11.61 SRS with 14 rules on 11 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 45.74/11.61 SRS with 12 rules on 11 letters weights 45.74/11.61 SRS with 11 rules on 10 letters EDG 45.74/11.61 SRS with 11 rules on 10 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 45.74/11.61 SRS with 10 rules on 10 letters weights 45.74/11.61 SRS with 7 rules on 6 letters EDG 45.74/11.61 45.74/11.61 ************************************************** 45.74/11.62 (7, 6)\Deepee(14, 11)\Matrix{\Arctic}{3}(12, 11)\Weight(11, 10)\Matrix{\Arctic}{3}(10, 10)\Weight(7, 6)\EDG[] 45.74/11.62 ************************************************** 46.22/11.72 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]} 46.22/11.72 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 46.62/11.91 EOF