86.47/21.89 YES 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [a, a] -> [], [a, b, a, b] -> [b, a, b, b, a, a]) 86.47/21.89 reason 86.47/21.89 remap for 2 rules 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [0, 0] -> [], [0, 1, 0, 1] -> [1, 0, 1, 1, 0, 0]) 86.47/21.89 reason 86.47/21.89 reverse each lhs and rhs 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [0, 0] -> [], [1, 0, 1, 0] -> [0, 0, 1, 1, 0, 1]) 86.47/21.89 reason 86.47/21.89 DP transform 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1], [1#, 0, 1, 0] |-> [0#, 0, 1, 1, 0, 1], [1#, 0, 1, 0] |-> [0#, 1, 1, 0, 1], [1#, 0, 1, 0] |-> [1#, 1, 0, 1], [1#, 0, 1, 0] |-> [1#, 0, 1], [1#, 0, 1, 0] |-> [0#, 1], [1#, 0, 1, 0] |-> [1#]) 86.47/21.89 reason 86.47/21.89 remap for 8 rules 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1], [2, 0, 1, 0] |-> [3, 0, 1, 1, 0, 1], [2, 0, 1, 0] |-> [3, 1, 1, 0, 1], [2, 0, 1, 0] |-> [2, 1, 0, 1], [2, 0, 1, 0] |-> [2, 0, 1], [2, 0, 1, 0] |-> [3, 1], [2, 0, 1, 0] |-> [2]) 86.47/21.89 reason 86.47/21.89 weights 86.47/21.89 Map [(2, 3/1)] 86.47/21.89 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1], [2, 0, 1, 0] |-> [2, 1, 0, 1], [2, 0, 1, 0] |-> [2, 0, 1], [2, 0, 1, 0] |-> [2]) 86.47/21.89 reason 86.47/21.89 EDG has 1 SCCs 86.47/21.89 property Termination 86.47/21.89 has value True 86.47/21.89 for SRS ( [2, 0, 1, 0] |-> [2, 1, 0, 1], [2, 0, 1, 0] |-> [2], [2, 0, 1, 0] |-> [2, 0, 1], [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1]) 86.47/21.89 reason 86.47/21.89 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.47/21.89 interpretation 86.47/21.89 0 Wk / - - 0A 0A \ 86.47/21.89 | - 0A - - | 86.47/21.89 | 0A - - 0A | 86.47/21.89 \ - - - 0A / 86.47/21.89 1 Wk / - - - 0A \ 86.47/21.89 | 6A 0A 6A - | 86.47/21.89 | 0A - 0A 1A | 86.47/21.89 \ - - - 0A / 86.47/21.89 2 Wk / 0A - - 0A \ 86.47/21.89 | - - - - | 86.47/21.89 | - - - - | 86.47/21.89 \ - - - 0A / 86.47/21.89 [2, 0, 1, 0] |-> [2, 1, 0, 1] 86.47/21.89 lhs rhs ge gt 86.47/21.89 Wk / 0A - 0A 1A \ Wk / - - - 0A \ True True 86.47/21.89 | - - - - | | - - - - | 86.47/21.89 | - - - - | | - - - - | 86.47/21.89 \ - - - 0A / \ - - - 0A / 86.47/21.89 [2, 0, 1, 0] |-> [2] 86.69/21.90 lhs rhs ge gt 86.69/21.90 Wk / 0A - 0A 1A \ Wk / 0A - - 0A \ True False 86.69/21.90 | - - - - | | - - - - | 86.69/21.90 | - - - - | | - - - - | 86.69/21.90 \ - - - 0A / \ - - - 0A / 86.69/21.90 [2, 0, 1, 0] |-> [2, 0, 1] 86.69/21.90 lhs rhs ge gt 86.69/21.90 Wk / 0A - 0A 1A \ Wk / 0A - 0A 1A \ True False 86.69/21.90 | - - - - | | - - - - | 86.69/21.90 | - - - - | | - - - - | 86.69/21.90 \ - - - 0A / \ - - - 0A / 86.69/21.90 [0, 0] ->= [] 86.69/21.90 lhs rhs ge gt 86.69/21.90 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 86.69/21.90 | - 0A - - | | - 0A - - | 86.69/21.90 | - - 0A 0A | | - - 0A - | 86.69/21.90 \ - - - 0A / \ - - - 0A / 86.69/21.90 [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1] 86.69/21.90 lhs rhs ge gt 86.69/21.90 Wk / - - - 0A \ Wk / - - - 0A \ True False 86.69/21.90 | 6A 0A 6A 7A | | 6A 0A 6A 7A | 86.69/21.90 | 0A - 0A 1A | | 0A - 0A 1A | 86.69/21.90 \ - - - 0A / \ - - - 0A / 86.69/21.90 property Termination 86.69/21.90 has value True 86.69/21.90 for SRS ( [2, 0, 1, 0] |-> [2], [2, 0, 1, 0] |-> [2, 0, 1], [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1]) 86.69/21.90 reason 86.69/21.90 EDG has 1 SCCs 86.69/21.90 property Termination 86.69/21.90 has value True 86.69/21.90 for SRS ( [2, 0, 1, 0] |-> [2], [2, 0, 1, 0] |-> [2, 0, 1], [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1]) 86.69/21.90 reason 86.69/21.90 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.69/21.90 interpretation 86.69/21.90 0 Wk / - 0A - 0A \ 86.69/21.90 | 0A - - 0A | 86.69/21.90 | 0A 2A 2A 5A | 86.69/21.90 \ - - - 0A / 86.69/21.90 1 Wk / - 0A 0A 0A \ 86.69/21.90 | - - - 1A | 86.69/21.90 | - 2A - 3A | 86.69/21.90 \ - - - 0A / 86.69/21.90 2 Wk / 0A 2A - 6A \ 86.69/21.90 | - - - - | 86.69/21.90 | - - - - | 86.69/21.90 \ - - - 0A / 86.69/21.90 [2, 0, 1, 0] |-> [2] 86.69/21.91 lhs rhs ge gt 86.69/21.91 Wk / 2A 4A 4A 7A \ Wk / 0A 2A - 6A \ True True 86.69/21.91 | - - - - | | - - - - | 86.69/21.91 | - - - - | | - - - - | 86.69/21.91 \ - - - 0A / \ - - - 0A / 86.69/21.91 [2, 0, 1, 0] |-> [2, 0, 1] 86.69/21.91 lhs rhs ge gt 86.69/21.91 Wk / 2A 4A 4A 7A \ Wk / - 2A 2A 6A \ True True 86.69/21.91 | - - - - | | - - - - | 86.69/21.91 | - - - - | | - - - - | 86.69/21.91 \ - - - 0A / \ - - - 0A / 86.69/21.91 [0, 0] ->= [] 86.69/21.91 lhs rhs ge gt 86.69/21.91 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 86.69/21.91 | - 0A - 0A | | - 0A - - | 86.69/21.91 | 2A 4A 4A 7A | | - - 0A - | 86.69/21.91 \ - - - 0A / \ - - - 0A / 86.69/21.92 [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1] 86.69/21.92 lhs rhs ge gt 86.69/21.92 Wk / 4A 2A 2A 5A \ Wk / - 2A 2A 3A \ True False 86.69/21.92 | - - - 1A | | - - - 1A | 86.69/21.92 | 2A 4A 4A 7A | | - 4A 4A 7A | 86.69/21.92 \ - - - 0A / \ - - - 0A / 86.69/21.92 property Termination 86.69/21.92 has value True 86.69/21.92 for SRS ( [0, 0] ->= [], [1, 0, 1, 0] ->= [0, 0, 1, 1, 0, 1]) 86.69/21.92 reason 86.69/21.92 EDG has 0 SCCs 86.69/21.92 86.69/21.92 ************************************************** 86.69/21.92 summary 86.69/21.92 ************************************************** 86.69/21.92 SRS with 2 rules on 2 letters Remap { tracing = False} 86.69/21.92 SRS with 2 rules on 2 letters reverse each lhs and rhs 86.69/21.92 SRS with 2 rules on 2 letters DP transform 86.69/21.92 SRS with 8 rules on 4 letters Remap { tracing = False} 86.69/21.92 SRS with 8 rules on 4 letters weights 86.69/21.92 SRS with 5 rules on 3 letters EDG 86.69/21.92 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.69/21.92 SRS with 4 rules on 3 letters EDG 86.69/21.92 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 86.69/21.92 SRS with 2 rules on 2 letters EDG 86.69/21.92 86.69/21.92 ************************************************** 86.69/21.93 (2, 2)\Deepee(8, 4)\Weight(5, 3)\Matrix{\Arctic}{4}(4, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 86.69/21.93 ************************************************** 87.27/22.10 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]} 87.27/22.10 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 87.85/22.20 EOF