63.44/16.78 YES 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [a, a] -> [c, b], [b, b] -> [c, a], [c, c] -> [b, a]) 63.44/16.78 reason 63.44/16.78 remap for 3 rules 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [0, 0] -> [1, 2], [2, 2] -> [1, 0], [1, 1] -> [2, 0]) 63.44/16.78 reason 63.44/16.78 reverse each lhs and rhs 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [0, 0] -> [2, 1], [2, 2] -> [0, 1], [1, 1] -> [0, 2]) 63.44/16.78 reason 63.44/16.78 DP transform 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [0, 0] ->= [2, 1], [2, 2] ->= [0, 1], [1, 1] ->= [0, 2], [0#, 0] |-> [2#, 1], [0#, 0] |-> [1#], [2#, 2] |-> [0#, 1], [2#, 2] |-> [1#], [1#, 1] |-> [0#, 2], [1#, 1] |-> [2#]) 63.44/16.78 reason 63.44/16.78 remap for 9 rules 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [0, 2], [2, 2] ->= [0, 1], [3, 0] |-> [4, 2], [3, 0] |-> [5], [4, 1] |-> [3, 2], [4, 1] |-> [5], [5, 2] |-> [3, 1], [5, 2] |-> [4]) 63.44/16.78 reason 63.44/16.78 weights 63.44/16.78 Map [(0, 2/1), (1, 2/1), (2, 2/1), (5, 1/1)] 63.44/16.78 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [0, 2], [2, 2] ->= [0, 1], [3, 0] |-> [4, 2], [4, 1] |-> [3, 2]) 63.44/16.78 reason 63.44/16.78 EDG has 1 SCCs 63.44/16.78 property Termination 63.44/16.78 has value True 63.44/16.78 for SRS ( [3, 0] |-> [4, 2], [4, 1] |-> [3, 2], [0, 0] ->= [1, 2], [1, 1] ->= [0, 2], [2, 2] ->= [0, 1]) 63.44/16.78 reason 63.44/16.78 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 63.44/16.78 interpretation 63.78/16.80 0 Wk / 0A 2A 4A - \ 63.78/16.80 | 3A 1A 1A 5A | 63.78/16.80 | 1A - 1A 3A | 63.78/16.80 \ - - - 0A / 63.78/16.80 1 Wk / 3A 1A 3A 4A \ 63.78/16.80 | 2A - - 1A | 63.78/16.80 | 0A - 0A 0A | 63.78/16.80 \ - - - 0A / 63.78/16.80 2 Wk / - 0A 1A 3A \ 63.78/16.80 | 4A 2A 4A 5A | 63.78/16.80 | 2A - 2A 3A | 63.78/16.80 \ - - - 0A / 63.78/16.80 3 Wk / 1A 0A 3A 3A \ 63.78/16.80 | - - - - | 63.78/16.80 | - - - - | 63.78/16.80 \ - - - 0A / 63.78/16.80 4 Wk / 2A - 0A 5A \ 63.78/16.80 | - - - - | 63.78/16.80 | - - - - | 63.78/16.80 \ - - - 0A / 63.78/16.80 [3, 0] |-> [4, 2] 63.78/16.80 lhs rhs ge gt 63.78/16.80 Wk / 4A 3A 5A 6A \ Wk / 2A 2A 3A 5A \ True True 63.78/16.80 | - - - - | | - - - - | 63.78/16.80 | - - - - | | - - - - | 63.78/16.80 \ - - - 0A / \ - - - 0A / 63.78/16.80 [4, 1] |-> [3, 2] 63.78/16.83 lhs rhs ge gt 63.78/16.83 Wk / 5A 3A 5A 6A \ Wk / 5A 2A 5A 6A \ True False 63.78/16.83 | - - - - | | - - - - | 63.78/16.83 | - - - - | | - - - - | 63.78/16.83 \ - - - 0A / \ - - - 0A / 63.78/16.83 [0, 0] ->= [1, 2] 63.78/16.83 lhs rhs ge gt 63.78/16.83 Wk / 5A 3A 5A 7A \ Wk / 5A 3A 5A 6A \ True False 63.78/16.83 | 4A 5A 7A 6A | | - 2A 3A 5A | 63.78/16.83 | 2A 3A 5A 4A | | 2A 0A 2A 3A | 63.78/16.83 \ - - - 0A / \ - - - 0A / 63.78/16.83 [1, 1] ->= [0, 2] 63.78/16.83 lhs rhs ge gt 63.78/16.83 Wk / 6A 4A 6A 7A \ Wk / 6A 4A 6A 7A \ True False 63.78/16.83 | 5A 3A 5A 6A | | 5A 3A 5A 6A | 63.78/16.83 | 3A 1A 3A 4A | | 3A 1A 3A 4A | 63.78/16.85 \ - - - 0A / \ - - - 0A / 63.78/16.85 [2, 2] ->= [0, 1] 63.78/16.85 lhs rhs ge gt 63.78/16.85 Wk / 4A 2A 4A 5A \ Wk / 4A 1A 4A 4A \ True False 63.78/16.85 | 6A 4A 6A 7A | | 6A 4A 6A 7A | 63.78/16.85 | 4A 2A 4A 5A | | 4A 2A 4A 5A | 63.78/16.85 \ - - - 0A / \ - - - 0A / 63.78/16.85 property Termination 63.78/16.85 has value True 63.78/16.85 for SRS ( [4, 1] |-> [3, 2], [0, 0] ->= [1, 2], [1, 1] ->= [0, 2], [2, 2] ->= [0, 1]) 63.78/16.85 reason 63.78/16.85 weights 63.78/16.85 Map [(4, 1/1)] 63.78/16.85 63.78/16.85 property Termination 63.78/16.85 has value True 63.78/16.85 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [0, 2], [2, 2] ->= [0, 1]) 63.78/16.85 reason 63.78/16.85 EDG has 0 SCCs 63.78/16.85 63.78/16.85 ************************************************** 63.78/16.85 summary 63.78/16.85 ************************************************** 63.78/16.85 SRS with 3 rules on 3 letters Remap { tracing = False} 63.78/16.85 SRS with 3 rules on 3 letters reverse each lhs and rhs 63.78/16.85 SRS with 3 rules on 3 letters DP transform 63.78/16.85 SRS with 9 rules on 6 letters Remap { tracing = False} 63.78/16.85 SRS with 9 rules on 6 letters weights 63.78/16.85 SRS with 5 rules on 5 letters EDG 63.78/16.85 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 63.78/16.85 SRS with 4 rules on 5 letters weights 63.78/16.85 SRS with 3 rules on 3 letters EDG 63.78/16.85 63.78/16.85 ************************************************** 63.78/16.87 (3, 3)\Deepee(9, 6)\Weight(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 63.78/16.87 ************************************************** 64.65/17.03 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]} 64.65/17.03 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 65.41/17.26 EOF