3.79/0.99 YES 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [a] -> [], [a, a, b] -> [c, c, a, c], [c, c] -> [b, a]) 3.79/0.99 reason 3.79/0.99 remap for 3 rules 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [0] -> [], [0, 0, 1] -> [2, 2, 0, 2], [2, 2] -> [1, 0]) 3.79/0.99 reason 3.79/0.99 reverse each lhs and rhs 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [0] -> [], [1, 0, 0] -> [2, 0, 2, 2], [2, 2] -> [0, 1]) 3.79/0.99 reason 3.79/0.99 DP transform 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1], [1#, 0, 0] |-> [2#, 0, 2, 2], [1#, 0, 0] |-> [0#, 2, 2], [1#, 0, 0] |-> [2#, 2], [1#, 0, 0] |-> [2#], [2#, 2] |-> [0#, 1], [2#, 2] |-> [1#]) 3.79/0.99 reason 3.79/0.99 remap for 9 rules 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1], [3, 0, 0] |-> [4, 0, 2, 2], [3, 0, 0] |-> [5, 2, 2], [3, 0, 0] |-> [4, 2], [3, 0, 0] |-> [4], [4, 2] |-> [5, 1], [4, 2] |-> [3]) 3.79/0.99 reason 3.79/0.99 weights 3.79/0.99 Map [(3, 1/2), (4, 1/2)] 3.79/0.99 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1], [3, 0, 0] |-> [4, 0, 2, 2], [3, 0, 0] |-> [4, 2], [3, 0, 0] |-> [4], [4, 2] |-> [3]) 3.79/0.99 reason 3.79/0.99 EDG has 1 SCCs 3.79/0.99 property Termination 3.79/0.99 has value True 3.79/0.99 for SRS ( [3, 0, 0] |-> [4, 0, 2, 2], [4, 2] |-> [3], [3, 0, 0] |-> [4], [3, 0, 0] |-> [4, 2], [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1]) 3.79/0.99 reason 3.79/0.99 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.79/0.99 interpretation 3.79/0.99 0 / 2A 2A \ 3.79/0.99 \ 0A 0A / 3.79/0.99 1 / 0A 0A \ 3.79/0.99 \ 0A 0A / 3.79/0.99 2 / 0A 2A \ 3.79/0.99 \ 0A 0A / 3.79/0.99 3 / 19A 21A \ 3.79/1.00 \ 19A 21A / 3.79/1.00 4 / 19A 20A \ 3.79/1.00 \ 19A 20A / 3.79/1.00 [3, 0, 0] |-> [4, 0, 2, 2] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 23A 23A \ / 23A 23A \ True False 3.79/1.00 \ 23A 23A / \ 23A 23A / 3.79/1.00 [4, 2] |-> [3] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 20A 21A \ / 19A 21A \ True False 3.79/1.00 \ 20A 21A / \ 19A 21A / 3.79/1.00 [3, 0, 0] |-> [4] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 23A 23A \ / 19A 20A \ True True 3.79/1.00 \ 23A 23A / \ 19A 20A / 3.79/1.00 [3, 0, 0] |-> [4, 2] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 23A 23A \ / 20A 21A \ True True 3.79/1.00 \ 23A 23A / \ 20A 21A / 3.79/1.00 [0] ->= [] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 2A 2A \ / 0A - \ True False 3.79/1.00 \ 0A 0A / \ - 0A / 3.79/1.00 [1, 0, 0] ->= [2, 0, 2, 2] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 4A 4A \ / 4A 4A \ True False 3.79/1.00 \ 4A 4A / \ 4A 4A / 3.79/1.00 [2, 2] ->= [0, 1] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 2A 2A \ / 2A 2A \ True False 3.79/1.00 \ 0A 2A / \ 0A 0A / 3.79/1.00 property Termination 3.79/1.00 has value True 3.79/1.00 for SRS ( [3, 0, 0] |-> [4, 0, 2, 2], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1]) 3.79/1.00 reason 3.79/1.00 EDG has 1 SCCs 3.79/1.00 property Termination 3.79/1.00 has value True 3.79/1.00 for SRS ( [3, 0, 0] |-> [4, 0, 2, 2], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1]) 3.79/1.00 reason 3.79/1.00 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.79/1.00 interpretation 3.79/1.00 0 / 2A 2A \ 3.79/1.00 \ 0A 0A / 3.79/1.00 1 / 0A 0A \ 3.79/1.00 \ 0A 0A / 3.79/1.00 2 / 0A 2A \ 3.79/1.00 \ 0A 0A / 3.79/1.00 3 / 23A 23A \ 3.79/1.00 \ 23A 23A / 3.79/1.00 4 / 21A 23A \ 3.79/1.00 \ 21A 23A / 3.79/1.00 [3, 0, 0] |-> [4, 0, 2, 2] 3.79/1.00 lhs rhs ge gt 3.79/1.00 / 27A 27A \ / 25A 25A \ True True 3.79/1.00 \ 27A 27A / \ 25A 25A / 3.79/1.00 [4, 2] |-> [3] 3.79/1.01 lhs rhs ge gt 3.79/1.01 / 23A 23A \ / 23A 23A \ True False 3.79/1.03 \ 23A 23A / \ 23A 23A / 3.79/1.03 [0] ->= [] 3.79/1.03 lhs rhs ge gt 3.79/1.03 / 2A 2A \ / 0A - \ True False 3.79/1.03 \ 0A 0A / \ - 0A / 3.79/1.03 [1, 0, 0] ->= [2, 0, 2, 2] 3.79/1.03 lhs rhs ge gt 3.79/1.03 / 4A 4A \ / 4A 4A \ True False 3.79/1.03 \ 4A 4A / \ 4A 4A / 3.79/1.03 [2, 2] ->= [0, 1] 3.79/1.03 lhs rhs ge gt 3.79/1.03 / 2A 2A \ / 2A 2A \ True False 3.79/1.03 \ 0A 2A / \ 0A 0A / 3.79/1.03 property Termination 3.79/1.03 has value True 3.79/1.03 for SRS ( [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1]) 3.79/1.03 reason 3.79/1.03 weights 3.79/1.03 Map [(4, 1/1)] 3.79/1.03 3.79/1.03 property Termination 3.79/1.03 has value True 3.79/1.03 for SRS ( [0] ->= [], [1, 0, 0] ->= [2, 0, 2, 2], [2, 2] ->= [0, 1]) 3.79/1.03 reason 3.79/1.03 EDG has 0 SCCs 3.79/1.03 3.79/1.03 ************************************************** 3.79/1.03 summary 3.79/1.03 ************************************************** 3.79/1.03 SRS with 3 rules on 3 letters Remap { tracing = False} 3.79/1.04 SRS with 3 rules on 3 letters reverse each lhs and rhs 3.79/1.04 SRS with 3 rules on 3 letters DP transform 3.79/1.04 SRS with 9 rules on 6 letters Remap { tracing = False} 3.79/1.04 SRS with 9 rules on 6 letters weights 3.79/1.04 SRS with 7 rules on 5 letters EDG 3.79/1.05 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.79/1.05 SRS with 5 rules on 5 letters EDG 4.08/1.05 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.08/1.05 SRS with 4 rules on 5 letters weights 4.08/1.05 SRS with 3 rules on 3 letters EDG 4.08/1.05 4.08/1.05 ************************************************** 4.08/1.05 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{2}(4, 5)\Weight(3, 3)\EDG[] 4.08/1.05 ************************************************** 4.23/1.12 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]} 4.23/1.12 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 4.36/1.14 EOF