2.67/0.73 YES 2.67/0.73 property Termination 2.67/0.73 has value True 2.67/0.73 for SRS ( [a] -> [], [a, a, b] -> [b, b, a, a], [b, b] -> [c, a]) 2.67/0.73 reason 2.67/0.73 remap for 3 rules 2.67/0.73 property Termination 2.67/0.74 has value True 2.67/0.74 for SRS ( [0] -> [], [0, 0, 1] -> [1, 1, 0, 0], [1, 1] -> [2, 0]) 2.67/0.74 reason 2.67/0.75 reverse each lhs and rhs 2.67/0.75 property Termination 2.67/0.75 has value True 2.67/0.75 for SRS ( [0] -> [], [1, 0, 0] -> [0, 0, 1, 1], [1, 1] -> [0, 2]) 2.67/0.75 reason 2.67/0.75 DP transform 2.67/0.75 property Termination 2.67/0.75 has value True 2.67/0.75 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2], [1#, 0, 0] |-> [0#, 0, 1, 1], [1#, 0, 0] |-> [0#, 1, 1], [1#, 0, 0] |-> [1#, 1], [1#, 0, 0] |-> [1#], [1#, 1] |-> [0#, 2]) 2.67/0.75 reason 2.67/0.75 remap for 8 rules 2.67/0.75 property Termination 2.67/0.75 has value True 2.67/0.76 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2], [3, 0, 0] |-> [4, 0, 1, 1], [3, 0, 0] |-> [4, 1, 1], [3, 0, 0] |-> [3, 1], [3, 0, 0] |-> [3], [3, 1] |-> [4, 2]) 2.67/0.76 reason 2.67/0.76 weights 2.67/0.76 Map [(3, 3/1)] 2.67/0.76 2.67/0.76 property Termination 2.67/0.76 has value True 2.97/0.76 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2], [3, 0, 0] |-> [3, 1], [3, 0, 0] |-> [3]) 2.97/0.76 reason 2.97/0.76 EDG has 1 SCCs 2.97/0.76 property Termination 2.97/0.76 has value True 2.97/0.77 for SRS ( [3, 0, 0] |-> [3, 1], [3, 0, 0] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2]) 2.97/0.77 reason 2.97/0.77 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.97/0.77 interpretation 2.97/0.77 0 / 0A 2A \ 2.97/0.77 \ 0A 0A / 2.97/0.77 1 / 0A 0A \ 2.97/0.77 \ 0A 0A / 2.97/0.77 2 / 0A 0A \ 2.97/0.77 \ -2A -2A / 2.97/0.77 3 / 7A 9A \ 2.97/0.77 \ 7A 9A / 2.97/0.77 [3, 0, 0] |-> [3, 1] 2.97/0.77 lhs rhs ge gt 2.97/0.77 / 9A 11A \ / 9A 9A \ True False 2.97/0.77 \ 9A 11A / \ 9A 9A / 2.97/0.77 [3, 0, 0] |-> [3] 2.97/0.77 lhs rhs ge gt 2.97/0.77 / 9A 11A \ / 7A 9A \ True True 2.97/0.77 \ 9A 11A / \ 7A 9A / 2.97/0.77 [0] ->= [] 2.97/0.77 lhs rhs ge gt 2.97/0.77 / 0A 2A \ / 0A - \ True False 2.97/0.77 \ 0A 0A / \ - 0A / 2.97/0.77 [1, 0, 0] ->= [0, 0, 1, 1] 2.97/0.77 lhs rhs ge gt 2.97/0.77 / 2A 2A \ / 2A 2A \ True False 2.97/0.77 \ 2A 2A / \ 2A 2A / 2.97/0.77 [1, 1] ->= [0, 2] 2.97/0.77 lhs rhs ge gt 2.97/0.77 / 0A 0A \ / 0A 0A \ True False 2.97/0.77 \ 0A 0A / \ 0A 0A / 2.97/0.77 property Termination 2.97/0.77 has value True 2.97/0.77 for SRS ( [3, 0, 0] |-> [3, 1], [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2]) 2.97/0.77 reason 2.97/0.77 EDG has 1 SCCs 2.97/0.77 property Termination 2.97/0.77 has value True 2.97/0.78 for SRS ( [3, 0, 0] |-> [3, 1], [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2]) 2.97/0.78 reason 2.97/0.78 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.97/0.78 interpretation 2.97/0.78 0 / 0A 2A \ 2.97/0.78 \ 0A 0A / 2.97/0.78 1 / 0A 0A \ 2.97/0.78 \ 0A 0A / 2.97/0.78 2 / 0A 0A \ 2.97/0.78 \ -2A -2A / 3.03/0.78 3 / 14A 15A \ 3.03/0.78 \ 14A 15A / 3.03/0.78 [3, 0, 0] |-> [3, 1] 3.03/0.78 lhs rhs ge gt 3.03/0.78 / 16A 17A \ / 15A 15A \ True True 3.03/0.78 \ 16A 17A / \ 15A 15A / 3.03/0.78 [0] ->= [] 3.03/0.78 lhs rhs ge gt 3.03/0.78 / 0A 2A \ / 0A - \ True False 3.03/0.78 \ 0A 0A / \ - 0A / 3.03/0.78 [1, 0, 0] ->= [0, 0, 1, 1] 3.03/0.78 lhs rhs ge gt 3.03/0.78 / 2A 2A \ / 2A 2A \ True False 3.03/0.78 \ 2A 2A / \ 2A 2A / 3.03/0.78 [1, 1] ->= [0, 2] 3.03/0.78 lhs rhs ge gt 3.03/0.78 / 0A 0A \ / 0A 0A \ True False 3.03/0.78 \ 0A 0A / \ 0A 0A / 3.03/0.78 property Termination 3.03/0.78 has value True 3.03/0.78 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 1, 1], [1, 1] ->= [0, 2]) 3.03/0.78 reason 3.03/0.78 EDG has 0 SCCs 3.03/0.78 3.03/0.78 ************************************************** 3.03/0.78 summary 3.03/0.78 ************************************************** 3.03/0.78 SRS with 3 rules on 3 letters Remap { tracing = False} 3.03/0.78 SRS with 3 rules on 3 letters reverse each lhs and rhs 3.03/0.78 SRS with 3 rules on 3 letters DP transform 3.03/0.78 SRS with 8 rules on 5 letters Remap { tracing = False} 3.03/0.78 SRS with 8 rules on 5 letters weights 3.03/0.78 SRS with 5 rules on 4 letters EDG 3.03/0.79 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.03/0.79 SRS with 4 rules on 4 letters EDG 3.03/0.79 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.03/0.79 SRS with 3 rules on 3 letters EDG 3.03/0.79 3.03/0.79 ************************************************** 3.56/0.93 (3, 3)\Deepee(8, 5)\Weight(5, 4)\Matrix{\Arctic}{2}(4, 4)\Matrix{\Arctic}{2}(3, 3)\EDG[] 3.56/0.93 ************************************************** 5.37/1.40 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]} 5.37/1.40 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 5.51/1.43 EOF