44.78/11.34 YES 44.78/11.34 property Termination 44.78/11.34 has value True 44.78/11.36 for SRS ( [b, d, b] -> [c, d, b], [b, a, c] -> [b, c], [a, d] -> [d, c], [b, b, b] -> [a, b, c], [d, c] -> [b, d], [d, c] -> [d, b, d], [d, a, c] -> [b, b]) 44.78/11.36 reason 44.78/11.37 remap for 7 rules 44.78/11.37 property Termination 44.78/11.37 has value True 44.78/11.37 for SRS ( [0, 1, 0] -> [2, 1, 0], [0, 3, 2] -> [0, 2], [3, 1] -> [1, 2], [0, 0, 0] -> [3, 0, 2], [1, 2] -> [0, 1], [1, 2] -> [1, 0, 1], [1, 3, 2] -> [0, 0]) 44.78/11.37 reason 44.78/11.37 weights 44.78/11.37 Map [(0, 1/1), (2, 1/1), (3, 1/1)] 44.78/11.37 44.78/11.37 property Termination 44.78/11.38 has value True 44.78/11.38 for SRS ( [0, 1, 0] -> [2, 1, 0], [3, 1] -> [1, 2], [0, 0, 0] -> [3, 0, 2], [1, 2] -> [0, 1], [1, 2] -> [1, 0, 1], [1, 3, 2] -> [0, 0]) 44.78/11.38 reason 44.78/11.38 reverse each lhs and rhs 44.78/11.38 property Termination 44.78/11.38 has value True 44.78/11.39 for SRS ( [0, 1, 0] -> [0, 1, 2], [1, 3] -> [2, 1], [0, 0, 0] -> [2, 0, 3], [2, 1] -> [1, 0], [2, 1] -> [1, 0, 1], [2, 3, 1] -> [0, 0]) 44.78/11.39 reason 44.78/11.39 DP transform 44.78/11.39 property Termination 44.78/11.39 has value True 44.78/11.39 for SRS ( [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0], [0#, 1, 0] |-> [0#, 1, 2], [0#, 1, 0] |-> [1#, 2], [0#, 1, 0] |-> [2#], [1#, 3] |-> [2#, 1], [1#, 3] |-> [1#], [0#, 0, 0] |-> [2#, 0, 3], [0#, 0, 0] |-> [0#, 3], [2#, 1] |-> [1#, 0], [2#, 1] |-> [0#], [2#, 1] |-> [1#, 0, 1], [2#, 1] |-> [0#, 1], [2#, 3, 1] |-> [0#, 0], [2#, 3, 1] |-> [0#]) 44.78/11.39 reason 44.78/11.39 remap for 19 rules 44.78/11.39 property Termination 44.78/11.39 has value True 44.78/11.39 for SRS ( [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0], [4, 1, 0] |-> [4, 1, 2], [4, 1, 0] |-> [5, 2], [4, 1, 0] |-> [6], [5, 3] |-> [6, 1], [5, 3] |-> [5], [4, 0, 0] |-> [6, 0, 3], [4, 0, 0] |-> [4, 3], [6, 1] |-> [5, 0], [6, 1] |-> [4], [6, 1] |-> [5, 0, 1], [6, 1] |-> [4, 1], [6, 3, 1] |-> [4, 0], [6, 3, 1] |-> [4]) 44.78/11.39 reason 44.78/11.39 weights 44.78/11.39 Map [(0, 1/5), (2, 1/5), (3, 1/5), (4, 1/5), (6, 1/5)] 44.78/11.39 44.78/11.39 property Termination 44.78/11.39 has value True 45.13/11.41 for SRS ( [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0], [4, 1, 0] |-> [4, 1, 2], [5, 3] |-> [6, 1], [4, 0, 0] |-> [6, 0, 3], [6, 1] |-> [5, 0], [6, 1] |-> [4], [6, 1] |-> [5, 0, 1], [6, 1] |-> [4, 1], [6, 3, 1] |-> [4, 0]) 45.13/11.41 reason 45.13/11.41 EDG has 2 SCCs 45.13/11.41 property Termination 45.13/11.41 has value True 45.13/11.42 for SRS ( [4, 1, 0] |-> [4, 1, 2], [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0]) 45.13/11.42 reason 45.13/11.42 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 45.13/11.42 interpretation 45.13/11.42 0 / 15A 15A 15A 15A 15A \ 45.13/11.42 | 15A 15A 15A 15A 15A | 45.13/11.42 | 10A 15A 15A 15A 15A | 45.13/11.42 | 10A 15A 15A 15A 15A | 45.13/11.42 \ 10A 10A 15A 15A 15A / 45.13/11.42 1 / 0A 0A 0A 0A 0A \ 45.13/11.42 | 0A 0A 0A 0A 0A | 45.13/11.42 | 0A 0A 0A 0A 0A | 45.13/11.42 | -5A -5A -5A -5A 0A | 45.13/11.42 \ -5A -5A -5A -5A -5A / 45.13/11.42 2 / 10A 10A 15A 15A 15A \ 45.13/11.42 | 10A 10A 15A 15A 15A | 45.13/11.42 | 10A 10A 15A 15A 15A | 45.13/11.42 | 10A 10A 15A 15A 15A | 45.13/11.42 \ 10A 10A 10A 10A 10A / 45.13/11.42 3 / 20A 20A 20A 20A 20A \ 45.13/11.42 | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | 45.13/11.42 \ 15A 15A 15A 15A 15A / 45.13/11.42 4 / 18A 18A 19A 21A 21A \ 45.13/11.42 | 18A 18A 19A 21A 21A | 45.13/11.42 | 18A 18A 19A 21A 21A | 45.13/11.42 | 18A 18A 19A 21A 21A | 45.13/11.42 \ 18A 18A 19A 21A 21A / 45.13/11.42 [4, 1, 0] |-> [4, 1, 2] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 34A 34A 36A 36A 36A \ / 31A 31A 34A 34A 34A \ True True 45.13/11.42 | 34A 34A 36A 36A 36A | | 31A 31A 34A 34A 34A | 45.13/11.42 | 34A 34A 36A 36A 36A | | 31A 31A 34A 34A 34A | 45.13/11.42 | 34A 34A 36A 36A 36A | | 31A 31A 34A 34A 34A | 45.13/11.42 \ 34A 34A 36A 36A 36A / \ 31A 31A 34A 34A 34A / 45.13/11.42 [0, 1, 0] ->= [0, 1, 2] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 30A 30A 30A 30A 30A \ / 25A 25A 30A 30A 30A \ True False 45.13/11.42 | 30A 30A 30A 30A 30A | | 25A 25A 30A 30A 30A | 45.13/11.42 | 30A 30A 30A 30A 30A | | 25A 25A 30A 30A 30A | 45.13/11.42 | 30A 30A 30A 30A 30A | | 25A 25A 30A 30A 30A | 45.13/11.42 \ 30A 30A 30A 30A 30A / \ 25A 25A 30A 30A 30A / 45.13/11.42 [1, 3] ->= [2, 1] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 20A 20A 20A 20A 20A \ / 15A 15A 15A 15A 15A \ True False 45.13/11.42 | 20A 20A 20A 20A 20A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 20A 20A 20A 20A 20A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 \ 15A 15A 15A 15A 15A / \ 10A 10A 10A 10A 10A / 45.13/11.42 [0, 0, 0] ->= [2, 0, 3] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 45A 45A 45A 45A 45A \ / 45A 45A 45A 45A 45A \ True False 45.13/11.42 | 45A 45A 45A 45A 45A | | 45A 45A 45A 45A 45A | 45.13/11.42 | 45A 45A 45A 45A 45A | | 45A 45A 45A 45A 45A | 45.13/11.42 | 45A 45A 45A 45A 45A | | 45A 45A 45A 45A 45A | 45.13/11.42 \ 45A 45A 45A 45A 45A / \ 45A 45A 45A 45A 45A / 45.13/11.42 [2, 1] ->= [1, 0] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 15A 15A 15A 15A 15A \ / 15A 15A 15A 15A 15A \ True False 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | | 10A 10A 15A 15A 15A | 45.13/11.42 \ 10A 10A 10A 10A 10A / \ 10A 10A 10A 10A 10A / 45.13/11.42 [2, 1] ->= [1, 0, 1] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 15A 15A 15A 15A 15A \ / 15A 15A 15A 15A 15A \ True False 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 45.13/11.42 \ 10A 10A 10A 10A 10A / \ 10A 10A 10A 10A 10A / 45.13/11.42 [2, 3, 1] ->= [0, 0] 45.13/11.42 lhs rhs ge gt 45.13/11.42 / 30A 30A 30A 30A 30A \ / 30A 30A 30A 30A 30A \ True False 45.13/11.42 | 30A 30A 30A 30A 30A | | 30A 30A 30A 30A 30A | 45.13/11.42 | 30A 30A 30A 30A 30A | | 30A 30A 30A 30A 30A | 45.13/11.42 | 30A 30A 30A 30A 30A | | 30A 30A 30A 30A 30A | 45.13/11.42 \ 30A 30A 30A 30A 30A / \ 25A 30A 30A 30A 30A / 45.13/11.42 property Termination 45.13/11.42 has value True 45.13/11.42 for SRS ( [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0]) 45.13/11.42 reason 45.13/11.42 EDG has 0 SCCs 45.13/11.42 45.13/11.42 property Termination 45.13/11.42 has value True 45.13/11.42 for SRS ( [5, 3] |-> [6, 1], [6, 1] |-> [5, 0, 1], [6, 1] |-> [5, 0], [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0]) 45.13/11.42 reason 45.13/11.42 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 45.13/11.43 interpretation 45.13/11.43 0 / 6A 8A \ 45.13/11.43 \ 6A 8A / 45.13/11.43 1 / 0A 2A \ 45.13/11.43 \ -2A 0A / 45.13/11.43 2 / 8A 8A \ 45.13/11.43 \ 6A 8A / 45.13/11.43 3 / 8A 10A \ 45.13/11.43 \ 6A 8A / 45.13/11.43 5 / 15A 15A \ 45.13/11.43 \ 15A 15A / 45.13/11.43 6 / 21A 23A \ 45.13/11.43 \ 21A 23A / 45.13/11.43 [5, 3] |-> [6, 1] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 23A 25A \ / 21A 23A \ True True 45.13/11.43 \ 23A 25A / \ 21A 23A / 45.13/11.43 [6, 1] |-> [5, 0, 1] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 21A 23A \ / 21A 23A \ True False 45.13/11.43 \ 21A 23A / \ 21A 23A / 45.13/11.43 [6, 1] |-> [5, 0] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 21A 23A \ / 21A 23A \ True False 45.13/11.43 \ 21A 23A / \ 21A 23A / 45.13/11.43 [0, 1, 0] ->= [0, 1, 2] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 14A 16A \ / 14A 16A \ True False 45.13/11.43 \ 14A 16A / \ 14A 16A / 45.13/11.43 [1, 3] ->= [2, 1] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 8A 10A \ / 8A 10A \ True False 45.13/11.43 \ 6A 8A / \ 6A 8A / 45.13/11.43 [0, 0, 0] ->= [2, 0, 3] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 22A 24A \ / 22A 24A \ True False 45.13/11.43 \ 22A 24A / \ 22A 24A / 45.13/11.43 [2, 1] ->= [1, 0] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 8A 10A \ / 8A 10A \ True False 45.13/11.43 \ 6A 8A / \ 6A 8A / 45.13/11.43 [2, 1] ->= [1, 0, 1] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 8A 10A \ / 8A 10A \ True False 45.13/11.43 \ 6A 8A / \ 6A 8A / 45.13/11.43 [2, 3, 1] ->= [0, 0] 45.13/11.43 lhs rhs ge gt 45.13/11.43 / 16A 18A \ / 14A 16A \ True False 45.13/11.43 \ 14A 16A / \ 14A 16A / 45.13/11.43 property Termination 45.13/11.43 has value True 45.13/11.43 for SRS ( [6, 1] |-> [5, 0, 1], [6, 1] |-> [5, 0], [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0]) 45.13/11.43 reason 45.13/11.43 weights 45.13/11.43 Map [(6, 2/1)] 45.13/11.43 45.13/11.43 property Termination 45.13/11.43 has value True 45.13/11.43 for SRS ( [0, 1, 0] ->= [0, 1, 2], [1, 3] ->= [2, 1], [0, 0, 0] ->= [2, 0, 3], [2, 1] ->= [1, 0], [2, 1] ->= [1, 0, 1], [2, 3, 1] ->= [0, 0]) 45.13/11.43 reason 45.13/11.43 EDG has 0 SCCs 45.13/11.43 45.13/11.43 ************************************************** 45.13/11.43 summary 45.13/11.43 ************************************************** 45.13/11.43 SRS with 7 rules on 4 letters Remap { tracing = False} 45.13/11.43 SRS with 7 rules on 4 letters weights 45.13/11.43 SRS with 6 rules on 4 letters reverse each lhs and rhs 45.13/11.43 SRS with 6 rules on 4 letters DP transform 45.13/11.43 SRS with 19 rules on 7 letters Remap { tracing = False} 45.13/11.43 SRS with 19 rules on 7 letters weights 45.13/11.43 SRS with 14 rules on 7 letters EDG 45.13/11.43 2 sub-proofs 45.13/11.43 1 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 45.13/11.43 SRS with 6 rules on 4 letters EDG 45.13/11.43 45.13/11.44 2 SRS with 9 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 45.13/11.44 SRS with 8 rules on 6 letters weights 45.13/11.44 SRS with 6 rules on 4 letters EDG 45.13/11.44 45.13/11.44 ************************************************** 45.13/11.48 (7, 4)\Weight(6, 4)\Deepee(19, 7)\Weight(14, 7)\EDG[(7, 5)\Matrix{\Arctic}{5}(6, 4)\EDG[],(9, 6)\Matrix{\Arctic}{2}(8, 6)\Weight(6, 4)\EDG[]] 45.13/11.49 ************************************************** 49.15/12.45 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]} 49.15/12.45 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 49.54/12.61 EOF