17.82/4.52 YES 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [a] -> [], [a, b] -> [c, b, c, b], [b] -> [a, a], [c, c] -> []) 17.82/4.52 reason 17.82/4.52 remap for 4 rules 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [0] -> [], [0, 1] -> [2, 1, 2, 1], [1] -> [0, 0], [2, 2] -> []) 17.82/4.52 reason 17.82/4.52 DP transform 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= [], [0#, 1] |-> [2#, 1, 2, 1], [0#, 1] |-> [1#, 2, 1], [0#, 1] |-> [2#, 1], [1#] |-> [0#, 0], [1#] |-> [0#]) 17.82/4.52 reason 17.82/4.52 remap for 9 rules 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= [], [3, 1] |-> [4, 1, 2, 1], [3, 1] |-> [5, 2, 1], [3, 1] |-> [4, 1], [5] |-> [3, 0], [5] |-> [3]) 17.82/4.52 reason 17.82/4.52 weights 17.82/4.52 Map [(3, 1/2), (5, 1/2)] 17.82/4.52 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= [], [3, 1] |-> [5, 2, 1], [5] |-> [3, 0], [5] |-> [3]) 17.82/4.52 reason 17.82/4.52 EDG has 1 SCCs 17.82/4.52 property Termination 17.82/4.52 has value True 17.82/4.52 for SRS ( [3, 1] |-> [5, 2, 1], [5] |-> [3], [5] |-> [3, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= []) 17.82/4.52 reason 17.82/4.52 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 17.82/4.52 interpretation 17.82/4.52 0 Wk / 0A - 0A - \ 17.82/4.52 | 0A 0A 1A - | 17.82/4.52 | - - 0A 0A | 17.82/4.52 \ - - - 0A / 17.82/4.52 1 Wk / 0A - 0A 0A \ 17.82/4.52 | 0A 0A 1A 1A | 17.82/4.52 | 2A 1A 2A 4A | 17.82/4.52 \ - - - 0A / 17.82/4.52 2 Wk / 0A - - 3A \ 17.82/4.52 | 2A 0A 0A - | 17.82/4.52 | 1A 0A - - | 17.82/4.52 \ - - - 0A / 17.82/4.52 3 Wk / - - 1A 1A \ 17.82/4.52 | - - - - | 17.82/4.52 | - - 3A 4A | 17.82/4.52 \ - - - 0A / 17.82/4.52 5 Wk / 0A - 1A 4A \ 17.82/4.52 | - - - - | 17.82/4.52 | 2A 1A 3A 6A | 17.82/4.52 \ - - - 0A / 17.82/4.52 [3, 1] |-> [5, 2, 1] 17.82/4.52 lhs rhs ge gt 17.82/4.53 Wk / 3A 2A 3A 5A \ Wk / 2A 1A 2A 4A \ True True 17.82/4.53 | - - - - | | - - - - | 17.82/4.53 | 5A 4A 5A 7A | | 4A 3A 4A 6A | 17.82/4.53 \ - - - 0A / \ - - - 0A / 17.88/4.53 [5] |-> [3] 17.88/4.56 lhs rhs ge gt 17.88/4.56 Wk / 0A - 1A 4A \ Wk / - - 1A 1A \ True False 17.88/4.56 | - - - - | | - - - - | 17.88/4.56 | 2A 1A 3A 6A | | - - 3A 4A | 17.88/4.56 \ - - - 0A / \ - - - 0A / 17.88/4.56 [5] |-> [3, 0] 17.88/4.56 lhs rhs ge gt 17.88/4.56 Wk / 0A - 1A 4A \ Wk / - - 1A 1A \ True False 17.88/4.56 | - - - - | | - - - - | 17.88/4.56 | 2A 1A 3A 6A | | - - 3A 4A | 17.88/4.57 \ - - - 0A / \ - - - 0A / 17.88/4.57 [0] ->= [] 17.88/4.58 lhs rhs ge gt 17.88/4.58 Wk / 0A - 0A - \ Wk / 0A - - - \ True False 17.88/4.58 | 0A 0A 1A - | | - 0A - - | 17.88/4.58 | - - 0A 0A | | - - 0A - | 17.88/4.59 \ - - - 0A / \ - - - 0A / 17.88/4.59 [0, 1] ->= [2, 1, 2, 1] 18.18/4.62 lhs rhs ge gt 18.18/4.62 Wk / 2A 1A 2A 4A \ Wk / 1A 0A 1A 3A \ True False 18.18/4.62 | 3A 2A 3A 5A | | 3A 2A 3A 5A | 18.18/4.62 | 2A 1A 2A 4A | | 2A 1A 2A 4A | 18.18/4.62 \ - - - 0A / \ - - - 0A / 18.18/4.62 [1] ->= [0, 0] 18.44/4.71 lhs rhs ge gt 18.44/4.71 Wk / 0A - 0A 0A \ Wk / 0A - 0A 0A \ True False 18.44/4.71 | 0A 0A 1A 1A | | 0A 0A 1A 1A | 18.44/4.71 | 2A 1A 2A 4A | | - - 0A 0A | 18.44/4.71 \ - - - 0A / \ - - - 0A / 18.44/4.71 [2, 2] ->= [] 18.44/4.71 lhs rhs ge gt 18.44/4.71 Wk / 0A - - 3A \ Wk / 0A - - - \ True False 18.44/4.71 | 2A 0A 0A 5A | | - 0A - - | 18.44/4.71 | 2A 0A 0A 4A | | - - 0A - | 18.44/4.71 \ - - - 0A / \ - - - 0A / 18.44/4.71 property Termination 18.44/4.71 has value True 18.44/4.71 for SRS ( [5] |-> [3], [5] |-> [3, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= []) 18.44/4.71 reason 18.44/4.71 weights 18.44/4.71 Map [(5, 2/1)] 18.44/4.71 18.44/4.71 property Termination 18.44/4.71 has value True 18.44/4.71 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1], [1] ->= [0, 0], [2, 2] ->= []) 18.44/4.71 reason 18.44/4.71 EDG has 0 SCCs 18.44/4.71 18.44/4.71 ************************************************** 18.44/4.71 summary 18.44/4.71 ************************************************** 18.44/4.71 SRS with 4 rules on 3 letters Remap { tracing = False} 18.44/4.71 SRS with 4 rules on 3 letters DP transform 18.44/4.71 SRS with 9 rules on 6 letters Remap { tracing = False} 18.44/4.71 SRS with 9 rules on 6 letters weights 18.44/4.71 SRS with 7 rules on 5 letters EDG 18.44/4.71 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 18.44/4.71 SRS with 6 rules on 5 letters weights 18.44/4.71 SRS with 4 rules on 3 letters EDG 18.44/4.71 18.44/4.71 ************************************************** 18.44/4.71 (4, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(4, 3)\EDG[] 18.44/4.71 ************************************************** 18.44/4.74 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]} 18.44/4.74 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 18.78/4.80 EOF