93.38/23.65 YES 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [a] -> [], [a, b] -> [], [a, c, c] -> [c, b, c, a, c, a]) 93.38/23.65 reason 93.38/23.65 remap for 3 rules 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [0] -> [], [0, 1] -> [], [0, 2, 2] -> [2, 1, 2, 0, 2, 0]) 93.38/23.65 reason 93.38/23.65 reverse each lhs and rhs 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [0] -> [], [1, 0] -> [], [2, 2, 0] -> [0, 2, 0, 2, 1, 2]) 93.38/23.65 reason 93.38/23.65 DP transform 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2], [2#, 2, 0] |-> [0#, 2, 0, 2, 1, 2], [2#, 2, 0] |-> [2#, 0, 2, 1, 2], [2#, 2, 0] |-> [0#, 2, 1, 2], [2#, 2, 0] |-> [2#, 1, 2], [2#, 2, 0] |-> [1#, 2], [2#, 2, 0] |-> [2#]) 93.38/23.65 reason 93.38/23.65 remap for 9 rules 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2], [3, 2, 0] |-> [4, 2, 0, 2, 1, 2], [3, 2, 0] |-> [3, 0, 2, 1, 2], [3, 2, 0] |-> [4, 2, 1, 2], [3, 2, 0] |-> [3, 1, 2], [3, 2, 0] |-> [5, 2], [3, 2, 0] |-> [3]) 93.38/23.65 reason 93.38/23.65 weights 93.38/23.65 Map [(3, 3/1)] 93.38/23.65 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2], [3, 2, 0] |-> [3, 0, 2, 1, 2], [3, 2, 0] |-> [3, 1, 2], [3, 2, 0] |-> [3]) 93.38/23.65 reason 93.38/23.65 EDG has 1 SCCs 93.38/23.65 property Termination 93.38/23.65 has value True 93.38/23.65 for SRS ( [3, 2, 0] |-> [3, 0, 2, 1, 2], [3, 2, 0] |-> [3], [3, 2, 0] |-> [3, 1, 2], [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2]) 93.63/23.65 reason 93.63/23.65 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.63/23.65 interpretation 93.63/23.65 0 Wk / 0A 0A - 1A \ 93.63/23.65 | 0A 0A 0A - | 93.63/23.65 | 1A 1A 0A 2A | 93.63/23.65 \ - - - 0A / 93.63/23.65 1 Wk / - 0A - 0A \ 93.63/23.65 | 0A 1A 0A - | 93.63/23.65 | - 0A - 1A | 93.63/23.65 \ - - - 0A / 93.63/23.65 2 Wk / - - 0A 0A \ 93.63/23.65 | 0A - - 0A | 93.63/23.65 | 1A 0A - - | 93.63/23.65 \ - - - 0A / 93.63/23.65 3 Wk / 1A - - - \ 93.63/23.65 | 1A - 1A - | 93.63/23.65 | 2A - 0A - | 93.63/23.65 \ - - - 0A / 93.63/23.65 [3, 2, 0] |-> [3, 0, 2, 1, 2] 93.63/23.65 lhs rhs ge gt 93.63/23.65 Wk / 2A 2A 1A 3A \ Wk / 1A - - 2A \ True False 93.63/23.65 | 2A 2A 1A 3A | | 2A 1A 1A 3A | 93.63/23.65 | 3A 3A 2A 4A | | 2A 0A 0A 3A | 93.63/23.65 \ - - - 0A / \ - - - 0A / 93.63/23.65 [3, 2, 0] |-> [3] 93.63/23.65 lhs rhs ge gt 93.63/23.65 Wk / 2A 2A 1A 3A \ Wk / 1A - - - \ True False 93.63/23.65 | 2A 2A 1A 3A | | 1A - 1A - | 93.63/23.65 | 3A 3A 2A 4A | | 2A - 0A - | 93.63/23.65 \ - - - 0A / \ - - - 0A / 93.63/23.65 [3, 2, 0] |-> [3, 1, 2] 93.63/23.65 lhs rhs ge gt 93.63/23.65 Wk / 2A 2A 1A 3A \ Wk / 1A - - 1A \ True True 93.63/23.65 | 2A 2A 1A 3A | | 1A - - 2A | 93.63/23.65 | 3A 3A 2A 4A | | 2A - - 2A | 93.63/23.65 \ - - - 0A / \ - - - 0A / 93.63/23.65 [0] ->= [] 93.63/23.66 lhs rhs ge gt 93.63/23.66 Wk / 0A 0A - 1A \ Wk / 0A - - - \ True False 93.63/23.66 | 0A 0A 0A - | | - 0A - - | 93.63/23.66 | 1A 1A 0A 2A | | - - 0A - | 93.63/23.66 \ - - - 0A / \ - - - 0A / 93.63/23.66 [1, 0] ->= [] 93.63/23.66 lhs rhs ge gt 93.63/23.66 Wk / 0A 0A 0A 0A \ Wk / 0A - - - \ True False 93.63/23.66 | 1A 1A 1A 2A | | - 0A - - | 93.63/23.66 | 0A 0A 0A 1A | | - - 0A - | 93.63/23.66 \ - - - 0A / \ - - - 0A / 93.63/23.66 [2, 2, 0] ->= [0, 2, 0, 2, 1, 2] 93.63/23.66 lhs rhs ge gt 93.63/23.66 Wk / 1A 1A 0A 2A \ Wk / 1A 0A 0A 2A \ True False 93.63/23.66 | 1A 1A 0A 2A | | 1A 0A 0A 2A | 93.63/23.66 | 2A 2A 1A 3A | | 2A 1A 1A 3A | 93.63/23.66 \ - - - 0A / \ - - - 0A / 93.63/23.66 property Termination 93.63/23.66 has value True 93.63/23.66 for SRS ( [3, 2, 0] |-> [3, 0, 2, 1, 2], [3, 2, 0] |-> [3], [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2]) 93.63/23.66 reason 93.63/23.66 EDG has 1 SCCs 93.63/23.66 property Termination 93.63/23.66 has value True 93.67/23.66 for SRS ( [3, 2, 0] |-> [3, 0, 2, 1, 2], [3, 2, 0] |-> [3], [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2]) 93.67/23.66 reason 93.67/23.66 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.67/23.66 interpretation 93.67/23.66 0 Wk / 0A - - - \ 93.67/23.66 | 0A 2A 0A - | 93.67/23.66 | 3A - 0A 4A | 93.67/23.66 \ - - - 0A / 93.67/23.66 1 Wk / - 0A - 0A \ 93.67/23.66 | - 2A - - | 93.67/23.66 | - 0A - - | 93.67/23.66 \ - - - 0A / 93.67/23.66 2 Wk / - - 0A 1A \ 93.67/23.66 | 0A - - - | 93.67/23.66 | 3A - 0A - | 93.67/23.66 \ - - - 0A / 93.67/23.66 3 Wk / 0A - - - \ 93.67/23.66 | - - - - | 93.67/23.66 | - - - - | 93.67/23.66 \ - - - 0A / 93.67/23.66 [3, 2, 0] |-> [3, 0, 2, 1, 2] 93.67/23.66 lhs rhs ge gt 93.67/23.66 Wk / 3A - 0A 4A \ Wk / 0A - - 1A \ True True 93.67/23.66 | - - - - | | - - - - | 93.67/23.66 | - - - - | | - - - - | 93.67/23.66 \ - - - 0A / \ - - - 0A / 93.67/23.66 [3, 2, 0] |-> [3] 93.67/23.66 lhs rhs ge gt 93.67/23.66 Wk / 3A - 0A 4A \ Wk / 0A - - - \ True True 93.67/23.66 | - - - - | | - - - - | 93.67/23.66 | - - - - | | - - - - | 93.67/23.66 \ - - - 0A / \ - - - 0A / 93.67/23.66 [0] ->= [] 93.67/23.66 lhs rhs ge gt 93.67/23.66 Wk / 0A - - - \ Wk / 0A - - - \ True False 93.67/23.66 | 0A 2A 0A - | | - 0A - - | 93.67/23.66 | 3A - 0A 4A | | - - 0A - | 93.67/23.66 \ - - - 0A / \ - - - 0A / 93.67/23.66 [1, 0] ->= [] 93.67/23.66 lhs rhs ge gt 93.67/23.66 Wk / 0A 2A 0A 0A \ Wk / 0A - - - \ True False 93.67/23.66 | 2A 4A 2A - | | - 0A - - | 93.67/23.66 | 0A 2A 0A - | | - - 0A - | 93.67/23.66 \ - - - 0A / \ - - - 0A / 93.67/23.67 [2, 2, 0] ->= [0, 2, 0, 2, 1, 2] 93.67/23.67 lhs rhs ge gt 93.67/23.67 Wk / 3A - 0A 4A \ Wk / 3A - - 4A \ True False 93.67/23.67 | 3A - 0A 4A | | 3A - - 4A | 93.67/23.67 | 6A - 3A 7A | | 6A - - 7A | 93.67/23.67 \ - - - 0A / \ - - - 0A / 93.67/23.67 property Termination 93.67/23.67 has value True 93.67/23.67 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 2, 1, 2]) 93.67/23.67 reason 93.67/23.67 EDG has 0 SCCs 93.67/23.67 93.67/23.67 ************************************************** 93.67/23.67 summary 93.67/23.67 ************************************************** 93.67/23.67 SRS with 3 rules on 3 letters Remap { tracing = False} 93.67/23.67 SRS with 3 rules on 3 letters reverse each lhs and rhs 93.67/23.67 SRS with 3 rules on 3 letters DP transform 93.67/23.67 SRS with 9 rules on 6 letters Remap { tracing = False} 93.67/23.67 SRS with 9 rules on 6 letters weights 93.67/23.67 SRS with 6 rules on 4 letters EDG 93.67/23.67 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.67/23.67 SRS with 5 rules on 4 letters EDG 93.67/23.67 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.67/23.67 SRS with 3 rules on 3 letters EDG 93.67/23.67 93.67/23.67 ************************************************** 93.67/23.67 (3, 3)\Deepee(9, 6)\Weight(6, 4)\Matrix{\Arctic}{4}(5, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 93.67/23.67 ************************************************** 93.67/23.69 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]} 93.67/23.69 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 93.90/23.78 EOF