38.41/9.75 YES 38.41/9.75 property Termination 38.41/9.75 has value True 38.41/9.75 for SRS ( [b, a, b, b] -> [a, a, b, a], [a, a, a, a] -> [b, a, b, b], [b, b, b, a] -> [b, b, a, a]) 38.41/9.75 reason 38.41/9.75 remap for 3 rules 38.41/9.75 property Termination 38.41/9.75 has value True 38.41/9.75 for SRS ( [0, 1, 0, 0] -> [1, 1, 0, 1], [1, 1, 1, 1] -> [0, 1, 0, 0], [0, 0, 0, 1] -> [0, 0, 1, 1]) 38.41/9.75 reason 38.41/9.75 reverse each lhs and rhs 38.41/9.75 property Termination 38.41/9.75 has value True 38.41/9.75 for SRS ( [0, 0, 1, 0] -> [1, 0, 1, 1], [1, 1, 1, 1] -> [0, 0, 1, 0], [1, 0, 0, 0] -> [1, 1, 0, 0]) 38.41/9.75 reason 38.41/9.75 DP transform 38.41/9.75 property Termination 38.41/9.75 has value True 38.41/9.75 for SRS ( [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0], [0#, 0, 1, 0] |-> [1#, 0, 1, 1], [0#, 0, 1, 0] |-> [0#, 1, 1], [0#, 0, 1, 0] |-> [1#, 1], [0#, 0, 1, 0] |-> [1#], [1#, 1, 1, 1] |-> [0#, 0, 1, 0], [1#, 1, 1, 1] |-> [0#, 1, 0], [1#, 1, 1, 1] |-> [1#, 0], [1#, 1, 1, 1] |-> [0#], [1#, 0, 0, 0] |-> [1#, 1, 0, 0], [1#, 0, 0, 0] |-> [1#, 0, 0]) 38.41/9.75 reason 38.41/9.75 remap for 13 rules 38.41/9.75 property Termination 38.41/9.75 has value True 38.41/9.76 for SRS ( [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0], [2, 0, 1, 0] |-> [3, 0, 1, 1], [2, 0, 1, 0] |-> [2, 1, 1], [2, 0, 1, 0] |-> [3, 1], [2, 0, 1, 0] |-> [3], [3, 1, 1, 1] |-> [2, 0, 1, 0], [3, 1, 1, 1] |-> [2, 1, 0], [3, 1, 1, 1] |-> [3, 0], [3, 1, 1, 1] |-> [2], [3, 0, 0, 0] |-> [3, 1, 0, 0], [3, 0, 0, 0] |-> [3, 0, 0]) 38.41/9.76 reason 38.41/9.76 weights 38.41/9.76 Map [(0, 1/13), (1, 1/13)] 38.41/9.76 38.41/9.76 property Termination 38.41/9.76 has value True 38.41/9.76 for SRS ( [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0], [2, 0, 1, 0] |-> [3, 0, 1, 1], [3, 1, 1, 1] |-> [2, 0, 1, 0], [3, 0, 0, 0] |-> [3, 1, 0, 0]) 38.41/9.76 reason 38.41/9.76 EDG has 1 SCCs 38.41/9.76 property Termination 38.41/9.76 has value True 38.41/9.76 for SRS ( [2, 0, 1, 0] |-> [3, 0, 1, 1], [3, 0, 0, 0] |-> [3, 1, 0, 0], [3, 1, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0]) 38.41/9.76 reason 38.41/9.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 38.41/9.76 interpretation 38.41/9.76 0 / 3A 3A 3A \ 38.41/9.76 | 0A 0A 3A | 38.41/9.76 \ 0A 0A 0A / 38.41/9.76 1 / 0A 3A 3A \ 38.41/9.76 | 0A 0A 3A | 38.41/9.76 \ 0A 0A 3A / 38.41/9.76 2 / 21A 21A 21A \ 38.41/9.76 | 21A 21A 21A | 38.41/9.76 \ 21A 21A 21A / 38.41/9.76 3 / 19A 21A 21A \ 38.41/9.76 | 19A 21A 21A | 38.41/9.76 \ 19A 21A 21A / 38.41/9.76 [2, 0, 1, 0] |-> [3, 0, 1, 1] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 27A 27A 30A \ / 27A 27A 30A \ True False 38.41/9.76 | 27A 27A 30A | | 27A 27A 30A | 38.41/9.76 \ 27A 27A 30A / \ 27A 27A 30A / 38.41/9.76 [3, 0, 0, 0] |-> [3, 1, 0, 0] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 28A 28A 28A \ / 27A 27A 27A \ True True 38.41/9.76 | 28A 28A 28A | | 27A 27A 27A | 38.41/9.76 \ 28A 28A 28A / \ 27A 27A 27A / 38.41/9.76 [3, 1, 1, 1] |-> [2, 0, 1, 0] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 27A 27A 30A \ / 27A 27A 30A \ True False 38.41/9.76 | 27A 27A 30A | | 27A 27A 30A | 38.41/9.76 \ 27A 27A 30A / \ 27A 27A 30A / 38.41/9.76 [0, 0, 1, 0] ->= [1, 0, 1, 1] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 9A 9A 12A \ / 9A 9A 12A \ True False 38.41/9.76 | 6A 6A 9A | | 6A 6A 9A | 38.41/9.76 \ 6A 6A 9A / \ 6A 6A 9A / 38.41/9.76 [1, 1, 1, 1] ->= [0, 0, 1, 0] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 9A 9A 12A \ / 9A 9A 12A \ True False 38.41/9.76 | 9A 9A 12A | | 6A 6A 9A | 38.41/9.76 \ 9A 9A 12A / \ 6A 6A 9A / 38.41/9.76 [1, 0, 0, 0] ->= [1, 1, 0, 0] 38.41/9.76 lhs rhs ge gt 38.41/9.76 / 9A 9A 9A \ / 9A 9A 9A \ True False 38.41/9.76 | 9A 9A 9A | | 9A 9A 9A | 38.41/9.76 \ 9A 9A 9A / \ 9A 9A 9A / 38.41/9.76 property Termination 38.41/9.76 has value True 38.41/9.76 for SRS ( [2, 0, 1, 0] |-> [3, 0, 1, 1], [3, 1, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0]) 38.41/9.76 reason 38.41/9.76 EDG has 1 SCCs 38.41/9.76 property Termination 38.41/9.76 has value True 38.41/9.76 for SRS ( [2, 0, 1, 0] |-> [3, 0, 1, 1], [3, 1, 1, 1] |-> [2, 0, 1, 0], [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0]) 38.41/9.76 reason 38.66/9.79 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 38.66/9.79 interpretation 38.66/9.79 0 / 6A 9A 9A \ 38.66/9.79 | 6A 9A 9A | 38.66/9.79 \ 6A 6A 6A / 38.66/9.79 1 / 9A 9A 9A \ 38.66/9.79 | 6A 6A 9A | 38.66/9.79 \ 6A 6A 6A / 38.66/9.79 2 / 22A 22A 22A \ 38.66/9.79 | 22A 22A 22A | 38.66/9.79 \ 22A 22A 22A / 38.66/9.79 3 / 20A 22A 22A \ 38.66/9.79 | 20A 22A 22A | 38.66/9.79 \ 20A 22A 22A / 38.66/9.79 [2, 0, 1, 0] |-> [3, 0, 1, 1] 38.66/9.79 lhs rhs ge gt 38.66/9.79 / 46A 46A 46A \ / 46A 46A 46A \ True False 38.66/9.79 | 46A 46A 46A | | 46A 46A 46A | 38.66/9.79 \ 46A 46A 46A / \ 46A 46A 46A / 38.66/9.79 [3, 1, 1, 1] |-> [2, 0, 1, 0] 38.66/9.79 lhs rhs ge gt 38.66/9.79 / 47A 47A 47A \ / 46A 46A 46A \ True True 38.66/9.79 | 47A 47A 47A | | 46A 46A 46A | 38.66/9.79 \ 47A 47A 47A / \ 46A 46A 46A / 38.66/9.79 [0, 0, 1, 0] ->= [1, 0, 1, 1] 38.66/9.79 lhs rhs ge gt 38.66/9.79 / 33A 33A 33A \ / 33A 33A 33A \ True False 38.66/9.79 | 33A 33A 33A | | 33A 33A 33A | 38.66/9.79 \ 30A 30A 30A / \ 30A 30A 30A / 38.66/9.79 [1, 1, 1, 1] ->= [0, 0, 1, 0] 38.66/9.79 lhs rhs ge gt 38.66/9.79 / 36A 36A 36A \ / 33A 33A 33A \ True False 38.66/9.79 | 33A 33A 33A | | 33A 33A 33A | 38.66/9.79 \ 33A 33A 33A / \ 30A 30A 30A / 38.66/9.79 [1, 0, 0, 0] ->= [1, 1, 0, 0] 38.66/9.79 lhs rhs ge gt 38.66/9.79 / 33A 36A 36A \ / 33A 36A 36A \ True False 38.66/9.79 | 30A 33A 33A | | 30A 33A 33A | 38.66/9.79 \ 30A 33A 33A / \ 30A 33A 33A / 38.66/9.79 property Termination 38.66/9.79 has value True 38.66/9.79 for SRS ( [2, 0, 1, 0] |-> [3, 0, 1, 1], [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0]) 38.66/9.79 reason 38.66/9.79 weights 38.66/9.79 Map [(2, 1/1)] 38.66/9.79 38.66/9.79 property Termination 38.66/9.79 has value True 38.66/9.79 for SRS ( [0, 0, 1, 0] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 0, 1, 0], [1, 0, 0, 0] ->= [1, 1, 0, 0]) 38.66/9.79 reason 38.66/9.79 EDG has 0 SCCs 38.66/9.79 38.66/9.79 ************************************************** 38.66/9.79 summary 38.66/9.79 ************************************************** 38.66/9.79 SRS with 3 rules on 2 letters Remap { tracing = False} 38.66/9.79 SRS with 3 rules on 2 letters reverse each lhs and rhs 38.66/9.79 SRS with 3 rules on 2 letters DP transform 38.66/9.79 SRS with 13 rules on 4 letters Remap { tracing = False} 38.66/9.79 SRS with 13 rules on 4 letters weights 38.66/9.79 SRS with 6 rules on 4 letters EDG 38.66/9.80 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 38.66/9.80 SRS with 5 rules on 4 letters EDG 38.66/9.80 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 38.66/9.80 SRS with 4 rules on 4 letters weights 38.66/9.80 SRS with 3 rules on 2 letters EDG 38.66/9.80 38.66/9.80 ************************************************** 38.66/9.80 (3, 2)\Deepee(13, 4)\Weight(6, 4)\Matrix{\Arctic}{3}(5, 4)\Matrix{\Arctic}{3}(4, 4)\Weight(3, 2)\EDG[] 38.66/9.80 ************************************************** 38.66/9.82 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]} 38.66/9.82 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 39.24/10.03 EOF