2.75/0.73 YES 2.75/0.73 property Termination 2.75/0.73 has value True 2.75/0.73 for SRS ( [a] -> [], [a, b] -> [c], [b] -> [], [c, c] -> [b, b, a, a, c]) 2.75/0.73 reason 2.75/0.73 remap for 4 rules 2.75/0.73 property Termination 2.75/0.73 has value True 2.75/0.73 for SRS ( [0] -> [], [0, 1] -> [2], [1] -> [], [2, 2] -> [1, 1, 0, 0, 2]) 2.75/0.73 reason 2.75/0.73 DP transform 2.75/0.73 property Termination 2.75/0.73 has value True 2.75/0.73 for SRS ( [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2], [0#, 1] |-> [2#], [2#, 2] |-> [1#, 1, 0, 0, 2], [2#, 2] |-> [1#, 0, 0, 2], [2#, 2] |-> [0#, 0, 2], [2#, 2] |-> [0#, 2]) 2.75/0.73 reason 2.75/0.73 remap for 9 rules 2.75/0.73 property Termination 2.75/0.73 has value True 2.75/0.73 for SRS ( [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2], [3, 1] |-> [4], [4, 2] |-> [5, 1, 0, 0, 2], [4, 2] |-> [5, 0, 0, 2], [4, 2] |-> [3, 0, 2], [4, 2] |-> [3, 2]) 2.75/0.73 reason 2.75/0.73 weights 2.75/0.73 Map [(3, 1/2), (4, 1/2)] 2.75/0.73 2.75/0.73 property Termination 2.75/0.73 has value True 2.75/0.74 for SRS ( [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2], [3, 1] |-> [4], [4, 2] |-> [3, 0, 2], [4, 2] |-> [3, 2]) 2.75/0.74 reason 2.75/0.74 EDG has 1 SCCs 2.75/0.74 property Termination 2.75/0.74 has value True 2.75/0.76 for SRS ( [3, 1] |-> [4], [4, 2] |-> [3, 2], [4, 2] |-> [3, 0, 2], [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2]) 2.75/0.76 reason 2.75/0.77 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.75/0.77 interpretation 2.75/0.77 0 / 0A 0A \ 2.75/0.77 \ 0A 0A / 2.75/0.77 1 / 0A 2A \ 2.75/0.77 \ -2A 0A / 2.75/0.77 2 / 0A 2A \ 2.75/0.77 \ 0A 2A / 2.75/0.77 3 / 16A 16A \ 2.75/0.77 \ 16A 16A / 2.75/0.77 4 / 14A 16A \ 2.75/0.77 \ 14A 16A / 2.75/0.77 [3, 1] |-> [4] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 16A 18A \ / 14A 16A \ True True 2.75/0.77 \ 16A 18A / \ 14A 16A / 2.75/0.77 [4, 2] |-> [3, 2] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 16A 18A \ / 16A 18A \ True False 2.75/0.77 \ 16A 18A / \ 16A 18A / 2.75/0.77 [4, 2] |-> [3, 0, 2] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 16A 18A \ / 16A 18A \ True False 2.75/0.77 \ 16A 18A / \ 16A 18A / 2.75/0.77 [0] ->= [] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 0A 0A \ / 0A - \ True False 2.75/0.77 \ 0A 0A / \ - 0A / 2.75/0.77 [0, 1] ->= [2] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 0A 2A \ / 0A 2A \ True False 2.75/0.77 \ 0A 2A / \ 0A 2A / 2.75/0.77 [1] ->= [] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 0A 2A \ / 0A - \ True False 2.75/0.77 \ -2A 0A / \ - 0A / 2.75/0.77 [2, 2] ->= [1, 1, 0, 0, 2] 2.75/0.77 lhs rhs ge gt 2.75/0.77 / 2A 4A \ / 2A 4A \ True False 2.75/0.77 \ 2A 4A / \ 0A 2A / 2.75/0.77 property Termination 2.75/0.77 has value True 2.75/0.77 for SRS ( [4, 2] |-> [3, 2], [4, 2] |-> [3, 0, 2], [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2]) 2.75/0.77 reason 2.75/0.77 weights 2.75/0.77 Map [(4, 2/1)] 2.75/0.77 2.75/0.77 property Termination 2.75/0.77 has value True 2.75/0.77 for SRS ( [0] ->= [], [0, 1] ->= [2], [1] ->= [], [2, 2] ->= [1, 1, 0, 0, 2]) 2.75/0.77 reason 2.75/0.77 EDG has 0 SCCs 2.75/0.77 2.75/0.77 ************************************************** 2.75/0.77 summary 2.75/0.77 ************************************************** 2.75/0.77 SRS with 4 rules on 3 letters Remap { tracing = False} 2.75/0.77 SRS with 4 rules on 3 letters DP transform 2.75/0.77 SRS with 9 rules on 6 letters Remap { tracing = False} 2.75/0.77 SRS with 9 rules on 6 letters weights 2.75/0.77 SRS with 7 rules on 5 letters EDG 2.75/0.77 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.75/0.77 SRS with 6 rules on 5 letters weights 2.75/0.77 SRS with 4 rules on 3 letters EDG 2.75/0.77 2.75/0.77 ************************************************** 2.75/0.77 (4, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{2}(6, 5)\Weight(4, 3)\EDG[] 2.75/0.77 ************************************************** 3.03/0.78 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]} 3.03/0.78 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 3.03/0.81 EOF