3.05/0.82 YES 3.05/0.82 property Termination 3.05/0.82 has value True 3.05/0.83 for SRS ( [a, b, c] -> [b], [c, b, b] -> [a], [c] -> [b], [a, a] -> [c, b, a, c]) 3.05/0.83 reason 3.05/0.83 remap for 4 rules 3.05/0.83 property Termination 3.05/0.83 has value True 3.05/0.83 for SRS ( [0, 1, 2] -> [1], [2, 1, 1] -> [0], [2] -> [1], [0, 0] -> [2, 1, 0, 2]) 3.05/0.83 reason 3.05/0.83 weights 3.05/0.83 Map [(0, 3/4), (1, 1/4), (2, 1/4)] 3.05/0.83 3.05/0.83 property Termination 3.05/0.83 has value True 3.05/0.83 for SRS ( [2, 1, 1] -> [0], [2] -> [1], [0, 0] -> [2, 1, 0, 2]) 3.05/0.83 reason 3.05/0.83 reverse each lhs and rhs 3.05/0.83 property Termination 3.05/0.83 has value True 3.05/0.83 for SRS ( [1, 1, 2] -> [0], [2] -> [1], [0, 0] -> [2, 0, 1, 2]) 3.05/0.83 reason 3.05/0.84 DP transform 3.05/0.84 property Termination 3.05/0.84 has value True 3.05/0.84 for SRS ( [1, 1, 2] ->= [0], [2] ->= [1], [0, 0] ->= [2, 0, 1, 2], [1#, 1, 2] |-> [0#], [2#] |-> [1#], [0#, 0] |-> [2#, 0, 1, 2], [0#, 0] |-> [0#, 1, 2], [0#, 0] |-> [1#, 2], [0#, 0] |-> [2#]) 3.05/0.84 reason 3.05/0.84 remap for 9 rules 3.05/0.84 property Termination 3.05/0.84 has value True 3.05/0.85 for SRS ( [0, 0, 1] ->= [2], [1] ->= [0], [2, 2] ->= [1, 2, 0, 1], [3, 0, 1] |-> [4], [5] |-> [3], [4, 2] |-> [5, 2, 0, 1], [4, 2] |-> [4, 0, 1], [4, 2] |-> [3, 1], [4, 2] |-> [5]) 3.05/0.85 reason 3.05/0.85 weights 3.05/0.85 Map [(0, 1/10), (1, 1/10), (2, 3/10), (4, 1/5)] 3.05/0.85 3.05/0.85 property Termination 3.05/0.85 has value True 3.05/0.85 for SRS ( [0, 0, 1] ->= [2], [1] ->= [0], [2, 2] ->= [1, 2, 0, 1], [3, 0, 1] |-> [4], [5] |-> [3], [4, 2] |-> [5, 2, 0, 1]) 3.31/0.85 reason 3.31/0.85 EDG has 1 SCCs 3.31/0.85 property Termination 3.31/0.85 has value True 3.31/0.86 for SRS ( [3, 0, 1] |-> [4], [4, 2] |-> [5, 2, 0, 1], [5] |-> [3], [0, 0, 1] ->= [2], [1] ->= [0], [2, 2] ->= [1, 2, 0, 1]) 3.31/0.86 reason 3.31/0.86 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.31/0.86 interpretation 3.31/0.86 0 / 2A 4A \ 3.31/0.86 \ 2A 2A / 3.31/0.86 1 / 4A 4A \ 3.31/0.86 \ 2A 2A / 3.31/0.86 2 / 10A 10A \ 3.31/0.86 \ 8A 8A / 3.31/0.86 3 / 15A 17A \ 3.31/0.86 \ 15A 17A / 3.31/0.86 4 / 22A 23A \ 3.31/0.86 \ 22A 23A / 3.31/0.86 5 / 15A 17A \ 3.31/0.86 \ 15A 17A / 3.31/0.86 [3, 0, 1] |-> [4] 3.31/0.86 lhs rhs ge gt 3.31/0.86 / 23A 23A \ / 22A 23A \ True False 3.31/0.86 \ 23A 23A / \ 22A 23A / 3.31/0.86 [4, 2] |-> [5, 2, 0, 1] 3.31/0.86 lhs rhs ge gt 3.31/0.86 / 32A 32A \ / 31A 31A \ True True 3.31/0.86 \ 32A 32A / \ 31A 31A / 3.31/0.86 [5] |-> [3] 3.31/0.86 lhs rhs ge gt 3.31/0.86 / 15A 17A \ / 15A 17A \ True False 3.31/0.86 \ 15A 17A / \ 15A 17A / 3.31/0.86 [0, 0, 1] ->= [2] 3.31/0.87 lhs rhs ge gt 3.31/0.87 / 10A 10A \ / 10A 10A \ True False 3.31/0.87 \ 8A 8A / \ 8A 8A / 3.31/0.87 [1] ->= [0] 3.31/0.87 lhs rhs ge gt 3.31/0.87 / 4A 4A \ / 2A 4A \ True False 3.31/0.87 \ 2A 2A / \ 2A 2A / 3.31/0.87 [2, 2] ->= [1, 2, 0, 1] 3.31/0.87 lhs rhs ge gt 3.31/0.87 / 20A 20A \ / 20A 20A \ True False 3.31/0.87 \ 18A 18A / \ 18A 18A / 3.31/0.87 property Termination 3.31/0.87 has value True 3.31/0.87 for SRS ( [3, 0, 1] |-> [4], [5] |-> [3], [0, 0, 1] ->= [2], [1] ->= [0], [2, 2] ->= [1, 2, 0, 1]) 3.31/0.87 reason 3.31/0.87 weights 3.31/0.87 Map [(3, 1/1), (5, 2/1)] 3.31/0.87 3.31/0.87 property Termination 3.31/0.87 has value True 3.31/0.87 for SRS ( [0, 0, 1] ->= [2], [1] ->= [0], [2, 2] ->= [1, 2, 0, 1]) 3.31/0.87 reason 3.31/0.87 EDG has 0 SCCs 3.31/0.87 3.31/0.87 ************************************************** 3.31/0.87 summary 3.31/0.87 ************************************************** 3.37/0.87 SRS with 4 rules on 3 letters Remap { tracing = False} 3.37/0.87 SRS with 4 rules on 3 letters weights 3.37/0.87 SRS with 3 rules on 3 letters reverse each lhs and rhs 3.37/0.87 SRS with 3 rules on 3 letters DP transform 3.37/0.87 SRS with 9 rules on 6 letters Remap { tracing = False} 3.56/0.94 SRS with 9 rules on 6 letters weights 3.68/1.01 SRS with 6 rules on 6 letters EDG 4.00/1.05 SRS with 6 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.23/1.09 SRS with 5 rules on 6 letters weights 4.23/1.09 SRS with 3 rules on 3 letters EDG 4.23/1.09 4.23/1.09 ************************************************** 4.23/1.09 (4, 3)\Weight(3, 3)\Deepee(9, 6)\Weight(6, 6)\Matrix{\Arctic}{2}(5, 6)\Weight(3, 3)\EDG[] 4.23/1.09 ************************************************** 4.75/1.23 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]} 4.75/1.23 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 4.81/1.27 EOF