2.74/0.73 YES 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [a] -> [], [a, b] -> [b, a, c], [b] -> [], [c, c] -> [b, b, a]) 2.74/0.73 reason 2.74/0.73 remap for 4 rules 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [0] -> [], [0, 1] -> [1, 0, 2], [1] -> [], [2, 2] -> [1, 1, 0]) 2.74/0.73 reason 2.74/0.73 reverse each lhs and rhs 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [0] -> [], [1, 0] -> [2, 0, 1], [1] -> [], [2, 2] -> [0, 1, 1]) 2.74/0.73 reason 2.74/0.73 DP transform 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1], [1#, 0] |-> [2#, 0, 1], [1#, 0] |-> [0#, 1], [1#, 0] |-> [1#], [2#, 2] |-> [0#, 1, 1], [2#, 2] |-> [1#, 1], [2#, 2] |-> [1#]) 2.74/0.73 reason 2.74/0.73 remap for 10 rules 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [5, 1], [3, 0] |-> [3], [4, 2] |-> [5, 1, 1], [4, 2] |-> [3, 1], [4, 2] |-> [3]) 2.74/0.73 reason 2.74/0.73 weights 2.74/0.73 Map [(3, 1/2), (4, 1/2)] 2.74/0.73 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [3], [4, 2] |-> [3, 1], [4, 2] |-> [3]) 2.74/0.73 reason 2.74/0.73 EDG has 1 SCCs 2.74/0.73 property Termination 2.74/0.73 has value True 2.74/0.73 for SRS ( [3, 0] |-> [4, 0, 1], [4, 2] |-> [3], [3, 0] |-> [3], [4, 2] |-> [3, 1], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1]) 2.74/0.73 reason 2.74/0.73 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.74/0.73 interpretation 2.74/0.73 0 / 2A 2A \ 2.74/0.73 \ 0A 0A / 2.74/0.73 1 / 0A 0A \ 2.74/0.73 \ 0A 0A / 2.74/0.74 2 / 0A 2A \ 2.74/0.74 \ 0A 2A / 2.74/0.74 3 / 14A 14A \ 2.74/0.74 \ 14A 14A / 2.74/0.74 4 / 14A 14A \ 2.74/0.74 \ 14A 14A / 2.74/0.74 [3, 0] |-> [4, 0, 1] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 16A 16A \ / 16A 16A \ True False 2.74/0.74 \ 16A 16A / \ 16A 16A / 2.74/0.74 [4, 2] |-> [3] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 14A 16A \ / 14A 14A \ True False 2.74/0.74 \ 14A 16A / \ 14A 14A / 2.74/0.74 [3, 0] |-> [3] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 16A 16A \ / 14A 14A \ True True 2.74/0.74 \ 16A 16A / \ 14A 14A / 2.74/0.74 [4, 2] |-> [3, 1] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 14A 16A \ / 14A 14A \ True False 2.74/0.74 \ 14A 16A / \ 14A 14A / 2.74/0.74 [0] ->= [] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 2A 2A \ / 0A - \ True False 2.74/0.74 \ 0A 0A / \ - 0A / 2.74/0.74 [1, 0] ->= [2, 0, 1] 2.74/0.74 lhs rhs ge gt 2.74/0.74 / 2A 2A \ / 2A 2A \ True False 2.74/0.74 \ 2A 2A / \ 2A 2A / 2.74/0.74 [1] ->= [] 2.74/0.74 lhs rhs ge gt 2.74/0.75 / 0A 0A \ / 0A - \ True False 2.74/0.75 \ 0A 0A / \ - 0A / 2.74/0.75 [2, 2] ->= [0, 1, 1] 2.74/0.75 lhs rhs ge gt 2.74/0.75 / 2A 4A \ / 2A 2A \ True False 2.74/0.75 \ 2A 4A / \ 0A 0A / 2.74/0.75 property Termination 2.74/0.75 has value True 2.74/0.75 for SRS ( [3, 0] |-> [4, 0, 1], [4, 2] |-> [3], [4, 2] |-> [3, 1], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1]) 2.74/0.75 reason 2.74/0.75 EDG has 1 SCCs 2.74/0.75 property Termination 2.74/0.75 has value True 2.74/0.76 for SRS ( [3, 0] |-> [4, 0, 1], [4, 2] |-> [3, 1], [4, 2] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1]) 2.74/0.76 reason 2.74/0.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.74/0.76 interpretation 2.74/0.76 0 / 0A 2A \ 2.74/0.76 \ 0A 2A / 2.74/0.76 1 / 0A 2A \ 2.74/0.76 \ -2A 0A / 2.74/0.76 2 / 0A 2A \ 2.74/0.76 \ 0A 0A / 2.74/0.76 3 / 5A 6A \ 2.74/0.76 \ 5A 6A / 2.74/0.76 4 / 5A 5A \ 2.74/0.76 \ 5A 5A / 2.74/0.76 [3, 0] |-> [4, 0, 1] 2.74/0.76 lhs rhs ge gt 2.74/0.76 / 6A 8A \ / 5A 7A \ True True 2.74/0.76 \ 6A 8A / \ 5A 7A / 2.74/0.76 [4, 2] |-> [3, 1] 2.74/0.76 lhs rhs ge gt 2.74/0.76 / 5A 7A \ / 5A 7A \ True False 2.74/0.76 \ 5A 7A / \ 5A 7A / 2.74/0.76 [4, 2] |-> [3] 2.74/0.76 lhs rhs ge gt 2.74/0.76 / 5A 7A \ / 5A 6A \ True False 2.74/0.76 \ 5A 7A / \ 5A 6A / 2.74/0.76 [0] ->= [] 2.74/0.76 lhs rhs ge gt 2.74/0.76 / 0A 2A \ / 0A - \ True False 2.74/0.76 \ 0A 2A / \ - 0A / 2.74/0.76 [1, 0] ->= [2, 0, 1] 2.74/0.76 lhs rhs ge gt 2.74/0.76 / 2A 4A \ / 2A 4A \ True False 2.74/0.76 \ 0A 2A / \ 0A 2A / 2.74/0.77 [1] ->= [] 2.74/0.77 lhs rhs ge gt 2.74/0.77 / 0A 2A \ / 0A - \ True False 2.74/0.77 \ -2A 0A / \ - 0A / 2.74/0.77 [2, 2] ->= [0, 1, 1] 2.74/0.77 lhs rhs ge gt 2.74/0.77 / 2A 2A \ / 0A 2A \ True False 2.74/0.77 \ 0A 2A / \ 0A 2A / 2.74/0.77 property Termination 2.74/0.77 has value True 2.74/0.77 for SRS ( [4, 2] |-> [3, 1], [4, 2] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1]) 2.74/0.77 reason 2.74/0.77 weights 2.74/0.77 Map [(4, 2/1)] 2.74/0.77 2.74/0.77 property Termination 2.74/0.77 has value True 2.74/0.77 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 1], [1] ->= [], [2, 2] ->= [0, 1, 1]) 2.74/0.77 reason 2.74/0.77 EDG has 0 SCCs 2.74/0.77 2.74/0.77 ************************************************** 2.74/0.77 summary 2.74/0.77 ************************************************** 2.74/0.77 SRS with 4 rules on 3 letters Remap { tracing = False} 2.74/0.77 SRS with 4 rules on 3 letters reverse each lhs and rhs 2.74/0.77 SRS with 4 rules on 3 letters DP transform 2.74/0.77 SRS with 10 rules on 6 letters Remap { tracing = False} 2.74/0.77 SRS with 10 rules on 6 letters weights 2.74/0.77 SRS with 8 rules on 5 letters EDG 2.74/0.77 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 2.74/0.77 SRS with 7 rules on 5 letters EDG 3.01/0.78 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.01/0.78 SRS with 6 rules on 5 letters weights 3.01/0.78 SRS with 4 rules on 3 letters EDG 3.01/0.78 3.01/0.78 ************************************************** 3.01/0.78 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{2}(7, 5)\Matrix{\Arctic}{2}(6, 5)\Weight(4, 3)\EDG[] 3.01/0.78 ************************************************** 4.66/1.21 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]} 4.66/1.21 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 4.71/1.24 EOF