63.99/16.21 YES 63.99/16.21 property Termination 63.99/16.21 has value True 63.99/16.21 for SRS ( [a] -> [], [a, b] -> [c, a], [c, c] -> [c, b, c, b, a]) 63.99/16.21 reason 63.99/16.21 remap for 3 rules 63.99/16.21 property Termination 63.99/16.21 has value True 63.99/16.21 for SRS ( [0] -> [], [0, 1] -> [2, 0], [2, 2] -> [2, 1, 2, 1, 0]) 63.99/16.21 reason 63.99/16.21 reverse each lhs and rhs 63.99/16.21 property Termination 63.99/16.21 has value True 63.99/16.21 for SRS ( [0] -> [], [1, 0] -> [0, 2], [2, 2] -> [0, 1, 2, 1, 2]) 63.99/16.21 reason 63.99/16.21 DP transform 63.99/16.21 property Termination 63.99/16.21 has value True 63.99/16.21 for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2], [1#, 0] |-> [0#, 2], [1#, 0] |-> [2#], [2#, 2] |-> [0#, 1, 2, 1, 2], [2#, 2] |-> [1#, 2, 1, 2], [2#, 2] |-> [2#, 1, 2], [2#, 2] |-> [1#, 2]) 63.99/16.21 reason 63.99/16.21 remap for 9 rules 63.99/16.21 property Termination 63.99/16.21 has value True 63.99/16.21 for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2], [3, 0] |-> [4, 2], [3, 0] |-> [5], [5, 2] |-> [4, 1, 2, 1, 2], [5, 2] |-> [3, 2, 1, 2], [5, 2] |-> [5, 1, 2], [5, 2] |-> [3, 2]) 63.99/16.21 reason 63.99/16.21 weights 63.99/16.21 Map [(3, 1/2), (5, 1/2)] 63.99/16.21 63.99/16.21 property Termination 63.99/16.21 has value True 64.24/16.25 for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2], [3, 0] |-> [5], [5, 2] |-> [3, 2, 1, 2], [5, 2] |-> [5, 1, 2], [5, 2] |-> [3, 2]) 64.24/16.25 reason 64.24/16.25 EDG has 1 SCCs 64.24/16.25 property Termination 64.24/16.25 has value True 64.24/16.25 for SRS ( [3, 0] |-> [5], [5, 2] |-> [3, 2], [5, 2] |-> [5, 1, 2], [5, 2] |-> [3, 2, 1, 2], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2]) 64.24/16.25 reason 64.24/16.25 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.24/16.25 interpretation 64.24/16.25 0 Wk / 0A - 1A 3A \ 64.24/16.25 | 1A 0A 2A 3A | 64.24/16.25 | - - 0A 3A | 64.24/16.25 \ - - - 0A / 64.24/16.25 1 Wk / - 1A - 0A \ 64.24/16.25 | - 2A - 2A | 64.24/16.25 | - 0A - - | 64.24/16.25 \ - - - 0A / 64.24/16.25 2 Wk / 0A 0A 3A - \ 64.24/16.25 | - - 0A - | 64.24/16.25 | 1A - 2A 3A | 64.24/16.25 \ - - - 0A / 64.24/16.25 3 Wk / - 1A - 1A \ 64.24/16.25 | - - - - | 64.24/16.25 | 3A - - 0A | 64.24/16.25 \ - - - 0A / 64.24/16.25 5 Wk / 0A 0A 0A 1A \ 64.24/16.25 | - - - - | 64.24/16.25 | 3A - 4A 4A | 64.24/16.25 \ - - - 0A / 64.24/16.25 [3, 0] |-> [5] 64.24/16.25 lhs rhs ge gt 64.24/16.25 Wk / 2A 1A 3A 4A \ Wk / 0A 0A 0A 1A \ True False 64.24/16.25 | - - - - | | - - - - | 64.24/16.25 | 3A - 4A 6A | | 3A - 4A 4A | 64.24/16.25 \ - - - 0A / \ - - - 0A / 64.24/16.25 [5, 2] |-> [3, 2] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 1A 0A 3A 3A \ Wk / - - 1A 1A \ True False 64.24/16.26 | - - - - | | - - - - | 64.24/16.26 | 5A 3A 6A 7A | | 3A 3A 6A 0A | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 [5, 2] |-> [5, 1, 2] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 1A 0A 3A 3A \ Wk / - - 2A 2A \ True True 64.24/16.26 | - - - - | | - - - - | 64.24/16.26 | 5A 3A 6A 7A | | - - 4A 4A | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 [5, 2] |-> [3, 2, 1, 2] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 1A 0A 3A 3A \ Wk / - - 1A 1A \ True False 64.24/16.26 | - - - - | | - - - - | 64.24/16.26 | 5A 3A 6A 7A | | - - 6A 5A | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 [0] ->= [] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 0A - 1A 3A \ Wk / 0A - - - \ True False 64.24/16.26 | 1A 0A 2A 3A | | - 0A - - | 64.24/16.26 | - - 0A 3A | | - - 0A - | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 [1, 0] ->= [0, 2] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 2A 1A 3A 4A \ Wk / 2A 0A 3A 4A \ True False 64.24/16.26 | 3A 2A 4A 5A | | 3A 1A 4A 5A | 64.24/16.26 | 1A 0A 2A 3A | | 1A - 2A 3A | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 [2, 2] ->= [0, 1, 2, 1, 2] 64.24/16.26 lhs rhs ge gt 64.24/16.26 Wk / 4A 0A 5A 6A \ Wk / - - 1A 3A \ True False 64.24/16.26 | 1A - 2A 3A | | - - 2A 3A | 64.24/16.26 | 3A 1A 4A 5A | | - - 0A 3A | 64.24/16.26 \ - - - 0A / \ - - - 0A / 64.24/16.26 property Termination 64.24/16.26 has value True 64.24/16.26 for SRS ( [3, 0] |-> [5], [5, 2] |-> [3, 2], [5, 2] |-> [3, 2, 1, 2], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2]) 64.24/16.26 reason 64.24/16.26 EDG has 1 SCCs 64.24/16.26 property Termination 64.24/16.26 has value True 64.24/16.26 for SRS ( [3, 0] |-> [5], [5, 2] |-> [3, 2, 1, 2], [5, 2] |-> [3, 2], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2]) 64.24/16.26 reason 64.24/16.26 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.24/16.26 interpretation 64.24/16.27 0 Wk / 0A - - - \ 64.24/16.27 | - 0A - 0A | 64.24/16.27 | 2A 4A 0A 4A | 64.24/16.27 \ - - - 0A / 64.24/16.27 1 Wk / - 1A 0A 0A \ 64.24/16.27 | - 0A - 0A | 64.24/16.27 | 0A - 2A - | 64.24/16.27 \ - - - 0A / 64.24/16.27 2 Wk / 2A 3A 0A 4A \ 64.24/16.27 | - - - 0A | 64.24/16.27 | 0A 0A - - | 64.24/16.27 \ - - - 0A / 64.24/16.27 3 Wk / - 4A 2A 5A \ 64.24/16.27 | 2A - 4A - | 64.24/16.27 | - - - - | 64.24/16.27 \ - - - 0A / 64.24/16.27 5 Wk / 2A 6A - 4A \ 64.24/16.27 | 3A - 4A - | 64.24/16.27 | - - - - | 64.24/16.27 \ - - - 0A / 64.24/16.27 [3, 0] |-> [5] 64.24/16.27 lhs rhs ge gt 64.24/16.27 Wk / 4A 6A 2A 6A \ Wk / 2A 6A - 4A \ True False 64.24/16.27 | 6A 8A 4A 8A | | 3A - 4A - | 64.24/16.27 | - - - - | | - - - - | 64.24/16.27 \ - - - 0A / \ - - - 0A / 64.24/16.27 [5, 2] |-> [3, 2, 1, 2] 64.24/16.27 lhs rhs ge gt 64.24/16.27 Wk / 4A 5A 2A 6A \ Wk / 2A 2A - 5A \ True True 64.24/16.27 | 5A 6A 3A 7A | | 4A 5A 2A 6A | 64.24/16.27 | - - - - | | - - - - | 64.24/16.27 \ - - - 0A / \ - - - 0A / 64.24/16.27 [5, 2] |-> [3, 2] 64.24/16.27 lhs rhs ge gt 64.24/16.27 Wk / 4A 5A 2A 6A \ Wk / 2A 2A - 5A \ True True 64.24/16.27 | 5A 6A 3A 7A | | 4A 5A 2A 6A | 64.24/16.27 | - - - - | | - - - - | 64.24/16.27 \ - - - 0A / \ - - - 0A / 64.24/16.27 [0] ->= [] 64.24/16.30 lhs rhs ge gt 64.24/16.30 Wk / 0A - - - \ Wk / 0A - - - \ True False 64.24/16.30 | - 0A - 0A | | - 0A - - | 64.24/16.30 | 2A 4A 0A 4A | | - - 0A - | 64.24/16.30 \ - - - 0A / \ - - - 0A / 64.24/16.30 [1, 0] ->= [0, 2] 64.24/16.30 lhs rhs ge gt 64.24/16.30 Wk / 2A 4A 0A 4A \ Wk / 2A 3A 0A 4A \ True False 64.24/16.30 | - 0A - 0A | | - - - 0A | 64.24/16.30 | 4A 6A 2A 6A | | 4A 5A 2A 6A | 64.24/16.30 \ - - - 0A / \ - - - 0A / 64.24/16.30 [2, 2] ->= [0, 1, 2, 1, 2] 64.24/16.30 lhs rhs ge gt 64.24/16.30 Wk / 4A 5A 2A 6A \ Wk / 0A 0A - 1A \ True False 64.24/16.30 | - - - 0A | | - - - 0A | 64.24/16.30 | 2A 3A 0A 4A | | 2A 3A 0A 4A | 64.24/16.30 \ - - - 0A / \ - - - 0A / 64.24/16.30 property Termination 64.24/16.30 has value True 64.24/16.30 for SRS ( [3, 0] |-> [5], [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2]) 64.24/16.30 reason 64.24/16.30 weights 64.24/16.30 Map [(3, 1/1)] 64.24/16.30 64.24/16.30 property Termination 64.24/16.30 has value True 64.24/16.30 for SRS ( [0] ->= [], [1, 0] ->= [0, 2], [2, 2] ->= [0, 1, 2, 1, 2]) 64.24/16.30 reason 64.24/16.30 EDG has 0 SCCs 64.24/16.30 64.24/16.30 ************************************************** 64.24/16.30 summary 64.24/16.30 ************************************************** 64.24/16.30 SRS with 3 rules on 3 letters Remap { tracing = False} 64.24/16.30 SRS with 3 rules on 3 letters reverse each lhs and rhs 64.24/16.30 SRS with 3 rules on 3 letters DP transform 64.24/16.30 SRS with 9 rules on 6 letters Remap { tracing = False} 64.24/16.30 SRS with 9 rules on 6 letters weights 64.24/16.30 SRS with 7 rules on 5 letters EDG 64.24/16.30 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.24/16.30 SRS with 6 rules on 5 letters EDG 64.24/16.30 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 64.24/16.30 SRS with 4 rules on 5 letters weights 64.24/16.30 SRS with 3 rules on 3 letters EDG 64.24/16.30 64.24/16.30 ************************************************** 64.24/16.30 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 64.24/16.30 ************************************************** 64.58/16.35 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]} 64.58/16.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 64.76/16.42 EOF