107.71/27.24 YES 107.71/27.24 property Termination 107.71/27.24 has value True 107.71/27.24 for SRS ( [b, b, a, a] -> [b, b, a, b], [b, a, b, b] -> [a, a, a, a], [b, a, b, b] -> [b, b, a, a]) 107.71/27.24 reason 107.71/27.24 remap for 3 rules 107.71/27.24 property Termination 107.71/27.24 has value True 107.71/27.24 for SRS ( [0, 0, 1, 1] -> [0, 0, 1, 0], [0, 1, 0, 0] -> [1, 1, 1, 1], [0, 1, 0, 0] -> [0, 0, 1, 1]) 107.71/27.24 reason 107.71/27.24 reverse each lhs and rhs 107.71/27.24 property Termination 107.71/27.24 has value True 107.71/27.24 for SRS ( [1, 1, 0, 0] -> [0, 1, 0, 0], [0, 0, 1, 0] -> [1, 1, 1, 1], [0, 0, 1, 0] -> [1, 1, 0, 0]) 107.71/27.24 reason 107.71/27.24 DP transform 107.71/27.24 property Termination 107.71/27.24 has value True 107.71/27.24 for SRS ( [1, 1, 0, 0] ->= [0, 1, 0, 0], [0, 0, 1, 0] ->= [1, 1, 1, 1], [0, 0, 1, 0] ->= [1, 1, 0, 0], [1#, 1, 0, 0] |-> [0#, 1, 0, 0], [0#, 0, 1, 0] |-> [1#, 1, 1, 1], [0#, 0, 1, 0] |-> [1#, 1, 1], [0#, 0, 1, 0] |-> [1#, 1], [0#, 0, 1, 0] |-> [1#], [0#, 0, 1, 0] |-> [1#, 1, 0, 0], [0#, 0, 1, 0] |-> [1#, 0, 0], [0#, 0, 1, 0] |-> [0#, 0]) 107.71/27.24 reason 107.71/27.24 remap for 11 rules 107.71/27.24 property Termination 107.71/27.24 has value True 107.71/27.24 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1], [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 0, 0], [3, 1, 0, 1] |-> [2, 0, 0], [3, 1, 0, 1] |-> [2, 0], [3, 1, 0, 1] |-> [2], [3, 1, 0, 1] |-> [2, 0, 1, 1], [3, 1, 0, 1] |-> [2, 1, 1], [3, 1, 0, 1] |-> [3, 1]) 107.71/27.24 reason 107.71/27.24 weights 107.71/27.24 Map [(0, 1/9), (1, 1/9)] 107.71/27.24 107.71/27.24 property Termination 107.71/27.24 has value True 107.90/27.25 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1], [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 0, 0], [3, 1, 0, 1] |-> [2, 0, 1, 1]) 107.90/27.25 reason 107.90/27.25 EDG has 1 SCCs 107.90/27.25 property Termination 107.90/27.25 has value True 107.90/27.25 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 0, 0], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1]) 107.90/27.25 reason 107.90/27.25 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 107.90/27.25 interpretation 107.90/27.25 0 / 6A 8A \ 107.90/27.25 \ 6A 6A / 107.90/27.25 1 / 8A 8A \ 107.90/27.25 \ 6A 6A / 107.90/27.25 2 / 7A 8A \ 107.90/27.25 \ 7A 8A / 107.90/27.25 3 / 8A 8A \ 107.90/27.25 \ 8A 8A / 107.90/27.25 [2, 0, 1, 1] |-> [3, 0, 1, 1] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 30A 30A \ True False 107.90/27.25 \ 30A 30A / \ 30A 30A / 107.90/27.25 [3, 1, 0, 1] |-> [2, 0, 1, 1] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 30A 30A \ True False 107.90/27.25 \ 30A 30A / \ 30A 30A / 107.90/27.25 [3, 1, 0, 1] |-> [2, 0, 0, 0] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 28A 29A \ True True 107.90/27.25 \ 30A 30A / \ 28A 29A / 107.90/27.25 [0, 0, 1, 1] ->= [1, 0, 1, 1] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 30A 30A \ True False 107.90/27.25 \ 28A 28A / \ 28A 28A / 107.90/27.25 [1, 1, 0, 1] ->= [0, 0, 0, 0] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 28A 28A \ True False 107.90/27.25 \ 28A 28A / \ 26A 28A / 107.90/27.25 [1, 1, 0, 1] ->= [0, 0, 1, 1] 107.90/27.25 lhs rhs ge gt 107.90/27.25 / 30A 30A \ / 30A 30A \ True False 107.90/27.25 \ 28A 28A / \ 28A 28A / 107.90/27.25 property Termination 107.90/27.25 has value True 107.90/27.25 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1]) 107.90/27.25 reason 107.90/27.25 EDG has 1 SCCs 107.90/27.25 property Termination 107.90/27.25 has value True 107.90/27.25 for SRS ( [2, 0, 1, 1] |-> [3, 0, 1, 1], [3, 1, 0, 1] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1]) 107.90/27.25 reason 107.90/27.27 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 107.90/27.27 interpretation 107.90/27.27 0 Wk / 0 0 1 0 \ 107.90/27.27 | 0 0 0 2 | 107.90/27.27 | 0 1 0 0 | 107.90/27.27 \ 0 0 0 1 / 107.90/27.27 1 Wk / 0 0 0 6 \ 107.90/27.27 | 1 0 0 0 | 107.90/27.27 | 0 0 0 2 | 107.90/27.27 \ 0 0 0 1 / 107.90/27.27 2 Wk / 0 0 0 6 \ 107.90/27.27 | 0 0 0 0 | 107.90/27.27 | 0 0 0 0 | 107.90/27.27 \ 0 0 0 1 / 107.90/27.27 3 Wk / 1 0 0 0 \ 107.90/27.27 | 0 0 0 0 | 107.90/27.27 | 0 0 0 0 | 107.90/27.27 \ 0 0 0 1 / 107.90/27.27 [2, 0, 1, 1] |-> [3, 0, 1, 1] 107.90/27.27 lhs rhs ge gt 107.90/27.27 Wk / 0 0 0 6 \ Wk / 0 0 0 2 \ True True 107.90/27.27 | 0 0 0 0 | | 0 0 0 0 | 107.90/27.27 | 0 0 0 0 | | 0 0 0 0 | 107.90/27.27 \ 0 0 0 1 / \ 0 0 0 1 / 107.90/27.27 [3, 1, 0, 1] |-> [2, 0, 1, 1] 107.90/27.29 lhs rhs ge gt 107.90/27.29 Wk / 0 0 0 6 \ Wk / 0 0 0 6 \ True False 107.90/27.29 | 0 0 0 0 | | 0 0 0 0 | 107.90/27.29 | 0 0 0 0 | | 0 0 0 0 | 107.90/27.29 \ 0 0 0 1 / \ 0 0 0 1 / 107.90/27.29 [0, 0, 1, 1] ->= [1, 0, 1, 1] 107.90/27.29 lhs rhs ge gt 107.90/27.29 Wk / 0 0 0 6 \ Wk / 0 0 0 6 \ True False 107.90/27.29 | 0 0 0 2 | | 0 0 0 2 | 107.90/27.29 | 0 0 0 2 | | 0 0 0 2 | 107.90/27.29 \ 0 0 0 1 / \ 0 0 0 1 / 107.90/27.29 [1, 1, 0, 1] ->= [0, 0, 0, 0] 107.90/27.29 lhs rhs ge gt 107.90/27.29 Wk / 0 0 0 6 \ Wk / 0 0 0 2 \ True True 107.90/27.29 | 0 0 0 6 | | 0 0 0 2 | 107.90/27.29 | 0 0 0 2 | | 0 0 0 2 | 107.90/27.29 \ 0 0 0 1 / \ 0 0 0 1 / 107.90/27.29 [1, 1, 0, 1] ->= [0, 0, 1, 1] 107.90/27.31 lhs rhs ge gt 107.90/27.31 Wk / 0 0 0 6 \ Wk / 0 0 0 6 \ True False 107.90/27.31 | 0 0 0 6 | | 0 0 0 2 | 107.90/27.31 | 0 0 0 2 | | 0 0 0 2 | 107.90/27.31 \ 0 0 0 1 / \ 0 0 0 1 / 107.90/27.31 property Termination 107.90/27.31 has value True 107.90/27.31 for SRS ( [3, 1, 0, 1] |-> [2, 0, 1, 1], [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1]) 107.90/27.31 reason 107.90/27.31 weights 107.90/27.31 Map [(3, 1/1)] 107.90/27.31 107.90/27.31 property Termination 107.90/27.31 has value True 107.90/27.31 for SRS ( [0, 0, 1, 1] ->= [1, 0, 1, 1], [1, 1, 0, 1] ->= [0, 0, 0, 0], [1, 1, 0, 1] ->= [0, 0, 1, 1]) 107.90/27.31 reason 107.90/27.31 EDG has 0 SCCs 107.90/27.31 107.90/27.31 ************************************************** 107.90/27.31 summary 107.90/27.31 ************************************************** 107.90/27.32 SRS with 3 rules on 2 letters Remap { tracing = False} 107.90/27.32 SRS with 3 rules on 2 letters reverse each lhs and rhs 107.90/27.32 SRS with 3 rules on 2 letters DP transform 107.90/27.32 SRS with 11 rules on 4 letters Remap { tracing = False} 107.90/27.32 SRS with 11 rules on 4 letters weights 107.90/27.32 SRS with 6 rules on 4 letters EDG 107.90/27.32 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 107.90/27.32 SRS with 5 rules on 4 letters EDG 107.90/27.32 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 107.90/27.32 SRS with 4 rules on 4 letters weights 107.90/27.32 SRS with 3 rules on 2 letters EDG 107.90/27.32 107.90/27.32 ************************************************** 107.90/27.33 (3, 2)\Deepee(11, 4)\Weight(6, 4)\Matrix{\Arctic}{2}(5, 4)\Matrix{\Natural}{4}(4, 4)\Weight(3, 2)\EDG[] 107.90/27.33 ************************************************** 108.70/27.50 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]} 108.70/27.50 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 109.10/27.64 EOF