5.43/1.39 YES 5.43/1.39 property Termination 5.43/1.39 has value True 5.43/1.40 for SRS ( [a] -> [b], [a, c] -> [c, c, c, a, b], [b, b] -> [a]) 5.43/1.40 reason 5.43/1.40 remap for 3 rules 5.43/1.40 property Termination 5.43/1.40 has value True 5.43/1.40 for SRS ( [0] -> [1], [0, 2] -> [2, 2, 2, 0, 1], [1, 1] -> [0]) 5.43/1.40 reason 5.43/1.40 reverse each lhs and rhs 5.43/1.40 property Termination 5.43/1.40 has value True 5.43/1.40 for SRS ( [0] -> [1], [2, 0] -> [1, 0, 2, 2, 2], [1, 1] -> [0]) 5.43/1.40 reason 5.43/1.40 DP transform 5.43/1.40 property Termination 5.43/1.40 has value True 5.43/1.40 for SRS ( [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0], [0#] |-> [1#], [2#, 0] |-> [1#, 0, 2, 2, 2], [2#, 0] |-> [0#, 2, 2, 2], [2#, 0] |-> [2#, 2, 2], [2#, 0] |-> [2#, 2], [2#, 0] |-> [2#], [1#, 1] |-> [0#]) 5.43/1.40 reason 5.43/1.40 remap for 10 rules 5.43/1.41 property Termination 5.43/1.41 has value True 5.43/1.41 for SRS ( [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0], [3] |-> [4], [5, 0] |-> [4, 0, 2, 2, 2], [5, 0] |-> [3, 2, 2, 2], [5, 0] |-> [5, 2, 2], [5, 0] |-> [5, 2], [5, 0] |-> [5], [4, 1] |-> [3]) 5.43/1.41 reason 5.43/1.41 weights 5.43/1.41 Map [(5, 2/1)] 5.43/1.41 5.43/1.41 property Termination 5.43/1.41 has value True 5.54/1.42 for SRS ( [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0], [3] |-> [4], [5, 0] |-> [5, 2, 2], [5, 0] |-> [5, 2], [5, 0] |-> [5], [4, 1] |-> [3]) 5.54/1.42 reason 5.54/1.42 EDG has 2 SCCs 5.54/1.42 property Termination 5.54/1.42 has value True 5.61/1.45 for SRS ( [3] |-> [4], [4, 1] |-> [3], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0]) 5.61/1.45 reason 5.61/1.45 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.61/1.45 interpretation 5.61/1.45 0 / 0A 2A \ 5.61/1.45 \ 0A 2A / 5.61/1.45 1 / 0A 2A \ 5.61/1.46 \ 0A 0A / 5.61/1.46 2 / 0A 2A \ 5.61/1.46 \ -2A 0A / 5.61/1.46 3 / 16A 17A \ 5.61/1.46 \ 16A 17A / 5.61/1.46 4 / 15A 16A \ 5.61/1.46 \ 15A 16A / 5.61/1.46 [3] |-> [4] 5.61/1.46 lhs rhs ge gt 5.61/1.46 / 16A 17A \ / 15A 16A \ True True 5.61/1.46 \ 16A 17A / \ 15A 16A / 5.61/1.46 [4, 1] |-> [3] 5.61/1.46 lhs rhs ge gt 5.61/1.46 / 16A 17A \ / 16A 17A \ True False 5.61/1.46 \ 16A 17A / \ 16A 17A / 5.61/1.46 [0] ->= [1] 5.61/1.46 lhs rhs ge gt 5.61/1.46 / 0A 2A \ / 0A 2A \ True False 5.61/1.46 \ 0A 2A / \ 0A 0A / 5.61/1.46 [2, 0] ->= [1, 0, 2, 2, 2] 5.61/1.46 lhs rhs ge gt 5.61/1.46 / 2A 4A \ / 2A 4A \ True False 5.61/1.46 \ 0A 2A / \ 0A 2A / 5.61/1.46 [1, 1] ->= [0] 5.61/1.46 lhs rhs ge gt 5.61/1.46 / 2A 2A \ / 0A 2A \ True False 5.61/1.46 \ 0A 2A / \ 0A 2A / 5.61/1.46 property Termination 5.61/1.46 has value True 5.61/1.46 for SRS ( [4, 1] |-> [3], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0]) 5.61/1.46 reason 5.61/1.46 weights 5.61/1.46 Map [(4, 1/1)] 5.61/1.46 5.61/1.46 property Termination 5.61/1.46 has value True 5.61/1.46 for SRS ( [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0]) 5.61/1.46 reason 5.61/1.46 EDG has 0 SCCs 5.61/1.46 5.61/1.46 property Termination 5.61/1.46 has value True 5.61/1.47 for SRS ( [5, 0] |-> [5, 2, 2], [5, 0] |-> [5], [5, 0] |-> [5, 2], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0]) 5.61/1.47 reason 5.61/1.47 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.61/1.47 interpretation 5.61/1.47 0 / 0A 2A \ 5.61/1.47 \ 0A 2A / 5.61/1.47 1 / 0A 2A \ 5.61/1.47 \ 0A 0A / 5.61/1.47 2 / 0A 2A \ 5.61/1.47 \ -2A 0A / 5.61/1.47 5 / 3A 5A \ 5.61/1.47 \ 3A 5A / 5.61/1.47 [5, 0] |-> [5, 2, 2] 5.61/1.47 lhs rhs ge gt 5.61/1.47 / 5A 7A \ / 3A 5A \ True True 5.61/1.47 \ 5A 7A / \ 3A 5A / 5.61/1.47 [5, 0] |-> [5] 5.61/1.47 lhs rhs ge gt 5.61/1.47 / 5A 7A \ / 3A 5A \ True True 5.61/1.47 \ 5A 7A / \ 3A 5A / 5.61/1.48 [5, 0] |-> [5, 2] 5.61/1.48 lhs rhs ge gt 5.61/1.48 / 5A 7A \ / 3A 5A \ True True 5.61/1.48 \ 5A 7A / \ 3A 5A / 5.61/1.48 [0] ->= [1] 5.61/1.48 lhs rhs ge gt 5.61/1.48 / 0A 2A \ / 0A 2A \ True False 5.61/1.48 \ 0A 2A / \ 0A 0A / 5.61/1.48 [2, 0] ->= [1, 0, 2, 2, 2] 5.61/1.48 lhs rhs ge gt 5.61/1.48 / 2A 4A \ / 2A 4A \ True False 5.61/1.48 \ 0A 2A / \ 0A 2A / 5.61/1.48 [1, 1] ->= [0] 5.61/1.48 lhs rhs ge gt 5.61/1.48 / 2A 2A \ / 0A 2A \ True False 5.61/1.48 \ 0A 2A / \ 0A 2A / 5.61/1.48 property Termination 5.61/1.48 has value True 5.61/1.48 for SRS ( [0] ->= [1], [2, 0] ->= [1, 0, 2, 2, 2], [1, 1] ->= [0]) 5.61/1.48 reason 5.61/1.48 EDG has 0 SCCs 5.61/1.48 5.61/1.48 ************************************************** 5.61/1.48 summary 5.61/1.48 ************************************************** 5.61/1.48 SRS with 3 rules on 3 letters Remap { tracing = False} 5.61/1.49 SRS with 3 rules on 3 letters reverse each lhs and rhs 5.61/1.49 SRS with 3 rules on 3 letters DP transform 5.61/1.49 SRS with 10 rules on 6 letters Remap { tracing = False} 5.61/1.49 SRS with 10 rules on 6 letters weights 5.61/1.49 SRS with 8 rules on 6 letters EDG 5.61/1.49 2 sub-proofs 5.61/1.49 1 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.61/1.49 SRS with 4 rules on 5 letters weights 5.61/1.49 SRS with 3 rules on 3 letters EDG 5.61/1.49 5.61/1.50 2 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.61/1.50 SRS with 3 rules on 3 letters EDG 5.61/1.50 5.61/1.50 ************************************************** 5.61/1.50 (3, 3)\Deepee(10, 6)\Weight(8, 6)\EDG[(5, 5)\Matrix{\Arctic}{2}(4, 5)\Weight(3, 3)\EDG[],(6, 4)\Matrix{\Arctic}{2}(3, 3)\EDG[]] 5.61/1.50 ************************************************** 5.93/1.55 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]} 5.93/1.55 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 6.15/1.59 EOF