4.51/1.21 YES 4.51/1.21 property Termination 4.51/1.21 has value True 4.77/1.22 for SRS ( [a] -> [], [a, b] -> [b, c, a], [c, c, a] -> [a, b, a]) 4.77/1.22 reason 4.77/1.22 remap for 3 rules 4.77/1.22 property Termination 4.77/1.22 has value True 4.77/1.22 for SRS ( [0] -> [], [0, 1] -> [1, 2, 0], [2, 2, 0] -> [0, 1, 0]) 4.77/1.22 reason 4.77/1.22 reverse each lhs and rhs 4.77/1.22 property Termination 4.77/1.22 has value True 4.77/1.22 for SRS ( [0] -> [], [1, 0] -> [0, 2, 1], [0, 2, 2] -> [0, 1, 0]) 4.77/1.22 reason 4.77/1.22 DP transform 4.77/1.22 property Termination 4.77/1.22 has value True 4.77/1.26 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0], [1#, 0] |-> [0#, 2, 1], [1#, 0] |-> [1#], [0#, 2, 2] |-> [0#, 1, 0], [0#, 2, 2] |-> [1#, 0], [0#, 2, 2] |-> [0#]) 4.77/1.26 reason 4.77/1.26 remap for 8 rules 4.77/1.26 property Termination 4.95/1.27 has value True 4.95/1.32 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0], [3, 0] |-> [4, 2, 1], [3, 0] |-> [3], [4, 2, 2] |-> [4, 1, 0], [4, 2, 2] |-> [3, 0], [4, 2, 2] |-> [4]) 4.95/1.32 reason 4.95/1.33 EDG has 1 SCCs 4.95/1.33 property Termination 4.95/1.33 has value True 4.95/1.33 for SRS ( [3, 0] |-> [4, 2, 1], [4, 2, 2] |-> [4], [4, 2, 2] |-> [3, 0], [3, 0] |-> [3], [4, 2, 2] |-> [4, 1, 0], [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0]) 4.95/1.33 reason 4.95/1.33 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.95/1.33 interpretation 4.95/1.33 0 / 2A 2A \ 4.95/1.33 \ 0A 0A / 4.95/1.33 1 / 0A 0A \ 4.95/1.33 \ -2A -2A / 4.95/1.33 2 / 0A 2A \ 4.95/1.33 \ 0A 2A / 4.95/1.33 3 / 26A 28A \ 4.95/1.33 \ 26A 28A / 4.95/1.33 4 / 24A 26A \ 4.95/1.33 \ 24A 26A / 4.95/1.33 [3, 0] |-> [4, 2, 1] 4.95/1.33 lhs rhs ge gt 4.95/1.33 / 28A 28A \ / 26A 26A \ True True 4.95/1.33 \ 28A 28A / \ 26A 26A / 4.95/1.33 [4, 2, 2] |-> [4] 4.95/1.33 lhs rhs ge gt 4.95/1.33 / 28A 30A \ / 24A 26A \ True True 4.95/1.33 \ 28A 30A / \ 24A 26A / 4.95/1.33 [4, 2, 2] |-> [3, 0] 4.95/1.33 lhs rhs ge gt 4.95/1.33 / 28A 30A \ / 28A 28A \ True False 4.95/1.33 \ 28A 30A / \ 28A 28A / 4.95/1.34 [3, 0] |-> [3] 4.95/1.34 lhs rhs ge gt 4.95/1.34 / 28A 28A \ / 26A 28A \ True False 4.95/1.34 \ 28A 28A / \ 26A 28A / 4.95/1.34 [4, 2, 2] |-> [4, 1, 0] 4.95/1.34 lhs rhs ge gt 4.95/1.34 / 28A 30A \ / 26A 26A \ True True 4.95/1.34 \ 28A 30A / \ 26A 26A / 4.95/1.34 [0] ->= [] 4.95/1.34 lhs rhs ge gt 4.95/1.34 / 2A 2A \ / 0A - \ True False 4.95/1.34 \ 0A 0A / \ - 0A / 4.95/1.34 [1, 0] ->= [0, 2, 1] 4.95/1.34 lhs rhs ge gt 4.95/1.34 / 2A 2A \ / 2A 2A \ True False 4.95/1.34 \ 0A 0A / \ 0A 0A / 4.95/1.34 [0, 2, 2] ->= [0, 1, 0] 4.95/1.34 lhs rhs ge gt 4.95/1.34 / 4A 6A \ / 4A 4A \ True False 4.95/1.34 \ 2A 4A / \ 2A 2A / 4.95/1.34 property Termination 4.95/1.34 has value True 5.27/1.36 for SRS ( [4, 2, 2] |-> [3, 0], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0]) 5.27/1.36 reason 5.27/1.36 weights 5.27/1.36 Map [(4, 1/1)] 5.27/1.36 5.27/1.36 property Termination 5.27/1.36 has value True 5.27/1.36 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0]) 5.27/1.36 reason 5.27/1.36 EDG has 1 SCCs 5.27/1.36 property Termination 5.27/1.36 has value True 5.27/1.36 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0]) 5.27/1.36 reason 5.27/1.36 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.27/1.36 interpretation 5.27/1.36 0 / 2A 2A \ 5.27/1.36 \ 0A 0A / 5.27/1.36 1 / 0A 0A \ 5.27/1.36 \ -2A -2A / 5.27/1.36 2 / 0A 2A \ 5.27/1.36 \ 0A 0A / 5.27/1.36 3 / 7A 7A \ 5.27/1.36 \ 7A 7A / 5.27/1.36 [3, 0] |-> [3] 5.27/1.36 lhs rhs ge gt 5.27/1.36 / 9A 9A \ / 7A 7A \ True True 5.27/1.36 \ 9A 9A / \ 7A 7A / 5.27/1.36 [0] ->= [] 5.27/1.36 lhs rhs ge gt 5.27/1.36 / 2A 2A \ / 0A - \ True False 5.27/1.36 \ 0A 0A / \ - 0A / 5.27/1.36 [1, 0] ->= [0, 2, 1] 5.27/1.36 lhs rhs ge gt 5.27/1.37 / 2A 2A \ / 2A 2A \ True False 5.27/1.37 \ 0A 0A / \ 0A 0A / 5.27/1.37 [0, 2, 2] ->= [0, 1, 0] 5.27/1.37 lhs rhs ge gt 5.27/1.37 / 4A 4A \ / 4A 4A \ True False 5.27/1.37 \ 2A 2A / \ 2A 2A / 5.27/1.37 property Termination 5.27/1.37 has value True 5.27/1.37 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1], [0, 2, 2] ->= [0, 1, 0]) 5.27/1.37 reason 5.27/1.37 EDG has 0 SCCs 5.27/1.37 5.27/1.37 ************************************************** 5.27/1.37 summary 5.27/1.37 ************************************************** 5.27/1.37 SRS with 3 rules on 3 letters Remap { tracing = False} 5.27/1.37 SRS with 3 rules on 3 letters reverse each lhs and rhs 5.27/1.37 SRS with 3 rules on 3 letters DP transform 5.27/1.38 SRS with 8 rules on 5 letters Remap { tracing = False} 5.38/1.38 SRS with 8 rules on 5 letters EDG 5.38/1.38 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.38/1.39 SRS with 5 rules on 5 letters weights 5.38/1.39 SRS with 4 rules on 4 letters EDG 5.38/1.39 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 5.38/1.40 SRS with 3 rules on 3 letters EDG 5.38/1.40 5.38/1.40 ************************************************** 5.38/1.40 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{2}(3, 3)\EDG[] 5.38/1.40 ************************************************** 6.77/1.76 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]} 6.77/1.76 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 6.77/1.80 EOF