84.25/21.28 YES 84.25/21.28 property Termination 84.25/21.28 has value True 84.25/21.28 for SRS ( [a, a, b, b, b, b, a, a] -> [a, a, c, c, a, a, b, b], [a, a, c, c] -> [c, c, c, c, a, a], [c, c, c, c, c, c] -> [b, b, c, c, b, b]) 84.25/21.28 reason 84.25/21.28 remap for 3 rules 84.25/21.28 property Termination 84.25/21.28 has value True 84.25/21.28 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] -> [0, 0, 2, 2, 0, 0, 1, 1], [0, 0, 2, 2] -> [2, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2] -> [1, 1, 2, 2, 1, 1]) 84.25/21.28 reason 84.25/21.28 reverse each lhs and rhs 84.25/21.28 property Termination 84.25/21.28 has value True 84.25/21.28 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] -> [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] -> [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] -> [1, 1, 2, 2, 1, 1]) 84.25/21.28 reason 84.25/21.28 DP transform 84.25/21.28 property Termination 84.25/21.28 has value True 84.25/21.29 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1], [0#, 0, 1, 1, 1, 1, 0, 0] |-> [0#, 0, 2, 2, 0, 0], [0#, 0, 1, 1, 1, 1, 0, 0] |-> [0#, 2, 2, 0, 0], [0#, 0, 1, 1, 1, 1, 0, 0] |-> [2#, 2, 0, 0], [0#, 0, 1, 1, 1, 1, 0, 0] |-> [2#, 0, 0], [2#, 2, 0, 0] |-> [0#, 0, 2, 2, 2, 2], [2#, 2, 0, 0] |-> [0#, 2, 2, 2, 2], [2#, 2, 0, 0] |-> [2#, 2, 2, 2], [2#, 2, 0, 0] |-> [2#, 2, 2], [2#, 2, 0, 0] |-> [2#, 2], [2#, 2, 0, 0] |-> [2#], [2#, 2, 2, 2, 2, 2] |-> [2#, 2, 1, 1], [2#, 2, 2, 2, 2, 2] |-> [2#, 1, 1]) 84.25/21.29 reason 84.25/21.29 remap for 15 rules 84.25/21.29 property Termination 84.25/21.29 has value True 84.25/21.30 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1], [3, 0, 1, 1, 1, 1, 0, 0] |-> [3, 0, 2, 2, 0, 0], [3, 0, 1, 1, 1, 1, 0, 0] |-> [3, 2, 2, 0, 0], [3, 0, 1, 1, 1, 1, 0, 0] |-> [4, 2, 0, 0], [3, 0, 1, 1, 1, 1, 0, 0] |-> [4, 0, 0], [4, 2, 0, 0] |-> [3, 0, 2, 2, 2, 2], [4, 2, 0, 0] |-> [3, 2, 2, 2, 2], [4, 2, 0, 0] |-> [4, 2, 2, 2], [4, 2, 0, 0] |-> [4, 2, 2], [4, 2, 0, 0] |-> [4, 2], [4, 2, 0, 0] |-> [4], [4, 2, 2, 2, 2, 2] |-> [4, 2, 1, 1], [4, 2, 2, 2, 2, 2] |-> [4, 1, 1]) 84.25/21.30 reason 84.25/21.30 weights 84.25/21.30 Map [(0, 9/1)] 84.25/21.30 84.25/21.30 property Termination 84.25/21.30 has value True 84.25/21.30 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1], [3, 0, 1, 1, 1, 1, 0, 0] |-> [3, 0, 2, 2, 0, 0], [4, 2, 2, 2, 2, 2] |-> [4, 2, 1, 1], [4, 2, 2, 2, 2, 2] |-> [4, 1, 1]) 84.25/21.30 reason 84.25/21.30 EDG has 1 SCCs 84.25/21.30 property Termination 84.25/21.30 has value True 84.25/21.30 for SRS ( [3, 0, 1, 1, 1, 1, 0, 0] |-> [3, 0, 2, 2, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1]) 84.25/21.30 reason 84.25/21.30 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 84.25/21.30 interpretation 84.25/21.30 0 Wk / - 0A - 6A \ 84.25/21.30 | - - - 6A | 84.25/21.30 | - - 0A 2A | 84.25/21.30 \ - - - 0A / 84.25/21.30 1 Wk / - 1A 0A 3A \ 84.25/21.30 | - - - 3A | 84.25/21.30 | 0A 0A 0A 3A | 84.25/21.30 \ - - - 0A / 84.25/21.30 2 Wk / - 1A - 6A \ 84.25/21.30 | - 0A - 4A | 84.25/21.30 | - - - 6A | 84.25/21.30 \ - - - 0A / 84.25/21.30 3 Wk / 0A 0A 0A - \ 84.25/21.30 | - - - - | 84.25/21.30 | - - - - | 84.25/21.30 \ - - - 0A / 84.25/21.30 [3, 0, 1, 1, 1, 1, 0, 0] |-> [3, 0, 2, 2, 0, 0] 84.25/21.30 lhs rhs ge gt 84.25/21.30 Wk / - - 0A 7A \ Wk / - - - 6A \ True True 84.25/21.30 | - - - - | | - - - - | 84.25/21.30 | - - - - | | - - - - | 84.25/21.30 \ - - - 0A / \ - - - 0A / 84.25/21.30 [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0] 84.25/21.30 lhs rhs ge gt 84.25/21.30 Wk / - - - 6A \ Wk / - - - 6A \ True False 84.25/21.30 | - - - 6A | | - - - 3A | 84.25/21.30 | - - 0A 7A | | - - - 7A | 84.25/21.30 \ - - - 0A / \ - - - 0A / 84.25/21.30 [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2] 84.25/21.31 lhs rhs ge gt 84.25/21.31 Wk / - - - 7A \ Wk / - - - 6A \ True False 84.25/21.31 | - - - 6A | | - - - 6A | 84.25/21.31 | - - - 6A | | - - - 6A | 84.25/21.31 \ - - - 0A / \ - - - 0A / 84.25/21.31 [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1] 84.25/21.31 lhs rhs ge gt 84.25/21.31 Wk / - 1A - 6A \ Wk / - - - 6A \ True False 84.25/21.31 | - 0A - 4A | | - - - 3A | 84.25/21.31 | - - - 6A | | - - - 6A | 84.25/21.31 \ - - - 0A / \ - - - 0A / 84.25/21.31 property Termination 84.25/21.31 has value True 84.25/21.31 for SRS ( [0, 0, 1, 1, 1, 1, 0, 0] ->= [1, 1, 0, 0, 2, 2, 0, 0], [2, 2, 0, 0] ->= [0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2] ->= [1, 1, 2, 2, 1, 1]) 84.25/21.31 reason 84.25/21.31 EDG has 0 SCCs 84.25/21.31 84.25/21.31 ************************************************** 84.25/21.31 summary 84.25/21.31 ************************************************** 84.25/21.31 SRS with 3 rules on 3 letters Remap { tracing = False} 84.25/21.31 SRS with 3 rules on 3 letters reverse each lhs and rhs 84.25/21.31 SRS with 3 rules on 3 letters DP transform 84.25/21.31 SRS with 15 rules on 5 letters Remap { tracing = False} 84.25/21.31 SRS with 15 rules on 5 letters weights 84.25/21.31 SRS with 6 rules on 5 letters EDG 84.25/21.31 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 84.25/21.32 SRS with 3 rules on 3 letters EDG 84.25/21.32 84.25/21.32 ************************************************** 84.25/21.32 (3, 3)\Deepee(15, 5)\Weight(6, 5)\EDG(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 84.25/21.32 ************************************************** 84.49/21.35 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]} 84.49/21.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 84.94/21.48 EOF