22.22/5.66 YES 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [a] -> [], [a, b] -> [c, b, b, a, a], [b, b] -> [], [c, c] -> []) 22.22/5.66 reason 22.22/5.66 remap for 4 rules 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [0] -> [], [0, 1] -> [2, 1, 1, 0, 0], [1, 1] -> [], [2, 2] -> []) 22.22/5.66 reason 22.22/5.66 DP transform 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 1, 0, 0], [1, 1] ->= [], [2, 2] ->= [], [0#, 1] |-> [2#, 1, 1, 0, 0], [0#, 1] |-> [1#, 1, 0, 0], [0#, 1] |-> [1#, 0, 0], [0#, 1] |-> [0#, 0], [0#, 1] |-> [0#]) 22.22/5.66 reason 22.22/5.66 remap for 9 rules 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 1, 0, 0], [1, 1] ->= [], [2, 2] ->= [], [3, 1] |-> [4, 1, 1, 0, 0], [3, 1] |-> [5, 1, 0, 0], [3, 1] |-> [5, 0, 0], [3, 1] |-> [3, 0], [3, 1] |-> [3]) 22.22/5.66 reason 22.22/5.66 weights 22.22/5.66 Map [(3, 3/1)] 22.22/5.66 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 1, 0, 0], [1, 1] ->= [], [2, 2] ->= [], [3, 1] |-> [3, 0], [3, 1] |-> [3]) 22.22/5.66 reason 22.22/5.66 EDG has 1 SCCs 22.22/5.66 property Termination 22.22/5.66 has value True 22.22/5.66 for SRS ( [3, 1] |-> [3, 0], [3, 1] |-> [3], [0] ->= [], [0, 1] ->= [2, 1, 1, 0, 0], [1, 1] ->= [], [2, 2] ->= []) 22.22/5.66 reason 22.22/5.66 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 22.22/5.66 interpretation 22.22/5.66 0 Wk / 0A - 0A 0A \ 22.22/5.66 | 2A 0A 2A 2A | 22.22/5.66 | 0A - 0A 0A | 22.22/5.66 \ - - - 0A / 22.22/5.66 1 Wk / 2A 0A 2A 2A \ 22.22/5.66 | - 0A 2A 0A | 22.22/5.66 | - - 0A 0A | 22.22/5.66 \ - - - 0A / 22.22/5.66 2 Wk / - 0A - 2A \ 22.22/5.66 | 0A - 4A - | 22.22/5.67 | - - 2A - | 22.22/5.67 \ - - - 0A / 22.22/5.68 3 Wk / 3A 0A 4A - \ 22.22/5.68 | 5A 3A 1A 5A | 22.22/5.68 | 2A 0A 3A - | 22.22/5.68 \ - - - 0A / 22.22/5.68 [3, 1] |-> [3, 0] 22.22/5.68 lhs rhs ge gt 22.22/5.68 Wk / 5A 3A 5A 5A \ Wk / 4A 0A 4A 4A \ True True 22.22/5.68 | 7A 5A 7A 7A | | 5A 3A 5A 5A | 22.22/5.68 | 4A 2A 4A 4A | | 3A 0A 3A 3A | 22.22/5.68 \ - - - 0A / \ - - - 0A / 22.22/5.68 [3, 1] |-> [3] 22.52/5.73 lhs rhs ge gt 22.52/5.73 Wk / 5A 3A 5A 5A \ Wk / 3A 0A 4A - \ True True 22.52/5.73 | 7A 5A 7A 7A | | 5A 3A 1A 5A | 22.52/5.73 | 4A 2A 4A 4A | | 2A 0A 3A - | 22.52/5.73 \ - - - 0A / \ - - - 0A / 22.52/5.73 [0] ->= [] 22.52/5.76 lhs rhs ge gt 22.52/5.76 Wk / 0A - 0A 0A \ Wk / 0A - - - \ True False 22.52/5.76 | 2A 0A 2A 2A | | - 0A - - | 22.52/5.76 | 0A - 0A 0A | | - - 0A - | 22.52/5.76 \ - - - 0A / \ - - - 0A / 22.52/5.76 [0, 1] ->= [2, 1, 1, 0, 0] 22.74/5.82 lhs rhs ge gt 22.74/5.82 Wk / 2A 0A 2A 2A \ Wk / 2A 0A 2A 2A \ True False 22.74/5.82 | 4A 2A 4A 4A | | 4A 2A 4A 4A | 22.74/5.82 | 2A 0A 2A 2A | | 2A - 2A 2A | 22.74/5.82 \ - - - 0A / \ - - - 0A / 22.74/5.82 [1, 1] ->= [] 22.74/5.84 lhs rhs ge gt 22.74/5.84 Wk / 4A 2A 4A 4A \ Wk / 0A - - - \ True False 22.74/5.84 | - 0A 2A 2A | | - 0A - - | 22.74/5.84 | - - 0A 0A | | - - 0A - | 22.74/5.84 \ - - - 0A / \ - - - 0A / 22.74/5.85 [2, 2] ->= [] 23.08/5.86 lhs rhs ge gt 23.16/5.89 Wk / 0A - 4A 2A \ Wk / 0A - - - \ True False 23.16/5.89 | - 0A 6A 2A | | - 0A - - | 23.16/5.89 | - - 4A - | | - - 0A - | 23.16/5.90 \ - - - 0A / \ - - - 0A / 23.34/5.95 property Termination 23.34/5.95 has value True 23.34/5.95 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 1, 0, 0], [1, 1] ->= [], [2, 2] ->= []) 23.34/5.95 reason 23.34/5.95 EDG has 0 SCCs 23.34/5.95 23.34/5.95 ************************************************** 23.34/5.95 summary 23.34/5.95 ************************************************** 23.34/5.95 SRS with 4 rules on 3 letters Remap { tracing = False} 23.34/5.95 SRS with 4 rules on 3 letters DP transform 23.34/5.95 SRS with 9 rules on 6 letters Remap { tracing = False} 23.34/5.95 SRS with 9 rules on 6 letters weights 23.34/5.95 SRS with 6 rules on 4 letters EDG 23.34/5.95 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 23.34/5.95 SRS with 4 rules on 3 letters EDG 23.34/5.95 23.34/5.95 ************************************************** 23.34/5.95 (4, 3)\Deepee(9, 6)\Weight(6, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 23.34/5.95 ************************************************** 23.66/6.02 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]} 23.66/6.02 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 23.82/6.09 EOF