51.48/13.05 YES 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [a, b, b, a] -> [b, a, a, b], [b, a, b] -> [a, b, b, b]) 51.48/13.06 reason 51.48/13.06 remap for 2 rules 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [0, 1, 1, 0] -> [1, 0, 0, 1], [1, 0, 1] -> [0, 1, 1, 1]) 51.48/13.06 reason 51.48/13.06 DP transform 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1], [0#, 1, 1, 0] |-> [1#, 0, 0, 1], [0#, 1, 1, 0] |-> [0#, 0, 1], [0#, 1, 1, 0] |-> [0#, 1], [0#, 1, 1, 0] |-> [1#], [1#, 0, 1] |-> [0#, 1, 1, 1], [1#, 0, 1] |-> [1#, 1, 1], [1#, 0, 1] |-> [1#, 1]) 51.48/13.06 reason 51.48/13.06 remap for 9 rules 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1], [2, 1, 1, 0] |-> [3, 0, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1], [2, 1, 1, 0] |-> [2, 1], [2, 1, 1, 0] |-> [3], [3, 0, 1] |-> [2, 1, 1, 1], [3, 0, 1] |-> [3, 1, 1], [3, 0, 1] |-> [3, 1]) 51.48/13.06 reason 51.48/13.06 weights 51.48/13.06 Map [(0, 1/5), (2, 1/5)] 51.48/13.06 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1], [2, 1, 1, 0] |-> [3, 0, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1], [3, 0, 1] |-> [2, 1, 1, 1]) 51.48/13.06 reason 51.48/13.06 EDG has 1 SCCs 51.48/13.06 property Termination 51.48/13.06 has value True 51.48/13.06 for SRS ( [2, 1, 1, 0] |-> [3, 0, 0, 1], [3, 0, 1] |-> [2, 1, 1, 1], [2, 1, 1, 0] |-> [2, 0, 1], [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1]) 51.48/13.06 reason 51.48/13.07 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 51.48/13.07 interpretation 51.48/13.07 0 / 9A 12A 12A \ 51.48/13.07 | 9A 9A 12A | 51.48/13.07 \ 9A 9A 12A / 51.48/13.07 1 / 0A 0A 3A \ 51.48/13.07 | 0A 0A 0A | 51.48/13.07 \ -3A -3A 0A / 51.48/13.07 2 / 28A 29A 31A \ 51.48/13.07 | 28A 29A 31A | 51.48/13.07 \ 28A 29A 31A / 51.48/13.07 3 / 20A 20A 20A \ 51.48/13.07 | 20A 20A 20A | 51.48/13.07 \ 20A 20A 20A / 51.48/13.07 [2, 1, 1, 0] |-> [3, 0, 0, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 41A 41A 44A \ / 41A 41A 44A \ True False 51.48/13.07 | 41A 41A 44A | | 41A 41A 44A | 51.48/13.07 \ 41A 41A 44A / \ 41A 41A 44A / 51.48/13.07 [3, 0, 1] |-> [2, 1, 1, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 32A 32A 32A \ / 29A 29A 32A \ True False 51.48/13.07 | 32A 32A 32A | | 29A 29A 32A | 51.48/13.07 \ 32A 32A 32A / \ 29A 29A 32A / 51.48/13.07 [2, 1, 1, 0] |-> [2, 0, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 41A 41A 44A \ / 40A 40A 43A \ True True 51.48/13.07 | 41A 41A 44A | | 40A 40A 43A | 51.48/13.07 \ 41A 41A 44A / \ 40A 40A 43A / 51.48/13.07 [0, 1, 1, 0] ->= [1, 0, 0, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 24A 24A 27A \ / 24A 24A 27A \ True False 51.48/13.07 | 21A 21A 24A | | 21A 21A 24A | 51.48/13.07 \ 21A 21A 24A / \ 21A 21A 24A / 51.48/13.07 [1, 0, 1] ->= [0, 1, 1, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 12A 12A 15A \ / 12A 12A 15A \ True False 51.48/13.07 | 12A 12A 12A | | 9A 9A 12A | 51.48/13.07 \ 9A 9A 12A / \ 9A 9A 12A / 51.48/13.07 property Termination 51.48/13.07 has value True 51.48/13.07 for SRS ( [2, 1, 1, 0] |-> [3, 0, 0, 1], [3, 0, 1] |-> [2, 1, 1, 1], [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1]) 51.48/13.07 reason 51.48/13.07 EDG has 1 SCCs 51.48/13.07 property Termination 51.48/13.07 has value True 51.48/13.07 for SRS ( [2, 1, 1, 0] |-> [3, 0, 0, 1], [3, 0, 1] |-> [2, 1, 1, 1], [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1]) 51.48/13.07 reason 51.48/13.07 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 51.48/13.07 interpretation 51.48/13.07 0 / 25A 30A 30A 30A 30A \ 51.48/13.07 | 25A 30A 30A 30A 30A | 51.48/13.07 | 25A 30A 30A 30A 30A | 51.48/13.07 | 25A 30A 30A 30A 30A | 51.48/13.07 \ 25A 25A 25A 25A 25A / 51.48/13.07 1 / 0A 0A 0A 0A 5A \ 51.48/13.07 | -5A -5A 0A 0A 0A | 51.48/13.07 | -5A -5A -5A 0A 0A | 51.48/13.07 | -5A -5A -5A -5A 0A | 51.48/13.07 \ -5A -5A -5A -5A 0A / 51.48/13.07 2 / 36A 41A 41A 41A 41A \ 51.48/13.07 | 36A 41A 41A 41A 41A | 51.48/13.07 | 36A 41A 41A 41A 41A | 51.48/13.07 | 36A 41A 41A 41A 41A | 51.48/13.07 \ 36A 41A 41A 41A 41A / 51.48/13.07 3 / 11A 11A 11A 11A 16A \ 51.48/13.07 | 11A 11A 11A 11A 16A | 51.48/13.07 | 11A 11A 11A 11A 16A | 51.48/13.07 | 11A 11A 11A 11A 16A | 51.48/13.07 \ 11A 11A 11A 11A 16A / 51.48/13.07 [2, 1, 1, 0] |-> [3, 0, 0, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 66A 71A 71A 71A 71A \ / 66A 66A 71A 71A 71A \ True False 51.48/13.07 | 66A 71A 71A 71A 71A | | 66A 66A 71A 71A 71A | 51.48/13.07 | 66A 71A 71A 71A 71A | | 66A 66A 71A 71A 71A | 51.48/13.07 | 66A 71A 71A 71A 71A | | 66A 66A 71A 71A 71A | 51.48/13.07 \ 66A 71A 71A 71A 71A / \ 66A 66A 71A 71A 71A / 51.48/13.07 [3, 0, 1] |-> [2, 1, 1, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 41A 41A 41A 41A 46A \ / 36A 36A 36A 36A 41A \ True True 51.48/13.07 | 41A 41A 41A 41A 46A | | 36A 36A 36A 36A 41A | 51.48/13.07 | 41A 41A 41A 41A 46A | | 36A 36A 36A 36A 41A | 51.48/13.07 | 41A 41A 41A 41A 46A | | 36A 36A 36A 36A 41A | 51.48/13.07 \ 41A 41A 41A 41A 46A / \ 36A 36A 36A 36A 41A / 51.48/13.07 [0, 1, 1, 0] ->= [1, 0, 0, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 55A 60A 60A 60A 60A \ / 55A 55A 60A 60A 60A \ True False 51.48/13.07 | 55A 60A 60A 60A 60A | | 55A 55A 60A 60A 60A | 51.48/13.07 | 55A 60A 60A 60A 60A | | 55A 55A 60A 60A 60A | 51.48/13.07 | 55A 60A 60A 60A 60A | | 50A 50A 55A 55A 55A | 51.48/13.07 \ 55A 55A 55A 55A 55A / \ 50A 50A 55A 55A 55A / 51.48/13.07 [1, 0, 1] ->= [0, 1, 1, 1] 51.48/13.07 lhs rhs ge gt 51.48/13.07 / 30A 30A 30A 30A 35A \ / 25A 25A 25A 25A 30A \ True False 51.48/13.07 | 25A 25A 30A 30A 30A | | 25A 25A 25A 25A 30A | 51.48/13.07 | 25A 25A 30A 30A 30A | | 25A 25A 25A 25A 30A | 51.48/13.07 | 25A 25A 25A 25A 30A | | 25A 25A 25A 25A 30A | 51.48/13.07 \ 25A 25A 25A 25A 30A / \ 25A 25A 25A 25A 30A / 51.48/13.07 property Termination 51.48/13.07 has value True 51.48/13.07 for SRS ( [2, 1, 1, 0] |-> [3, 0, 0, 1], [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1]) 51.48/13.07 reason 51.48/13.07 weights 51.48/13.07 Map [(2, 1/1)] 51.48/13.07 51.48/13.07 property Termination 51.48/13.07 has value True 51.48/13.07 for SRS ( [0, 1, 1, 0] ->= [1, 0, 0, 1], [1, 0, 1] ->= [0, 1, 1, 1]) 51.48/13.07 reason 51.48/13.07 EDG has 0 SCCs 51.48/13.07 51.48/13.08 ************************************************** 51.48/13.08 summary 51.48/13.08 ************************************************** 51.48/13.08 SRS with 2 rules on 2 letters Remap { tracing = False} 51.48/13.08 SRS with 2 rules on 2 letters DP transform 51.48/13.08 SRS with 9 rules on 4 letters Remap { tracing = False} 51.48/13.08 SRS with 9 rules on 4 letters weights 51.48/13.08 SRS with 5 rules on 4 letters EDG 51.48/13.08 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 51.48/13.08 SRS with 4 rules on 4 letters EDG 51.48/13.08 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 51.48/13.08 SRS with 3 rules on 4 letters weights 51.48/13.08 SRS with 2 rules on 2 letters EDG 51.48/13.08 51.48/13.08 ************************************************** 51.48/13.08 (2, 2)\Deepee(9, 4)\Weight(5, 4)\Matrix{\Arctic}{3}(4, 4)\Matrix{\Arctic}{5}(3, 4)\Weight(2, 2)\EDG[] 51.48/13.08 ************************************************** 51.77/13.12 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]} 51.77/13.12 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 52.33/13.29 EOF