12.62/3.23 YES 12.62/3.23 property Termination 12.62/3.23 has value True 12.62/3.23 for SRS ( [a] -> [b, b, c], [c, a, b] -> [a, a, c], [c, b] -> []) 12.62/3.23 reason 12.62/3.23 remap for 3 rules 12.62/3.23 property Termination 12.62/3.23 has value True 12.62/3.24 for SRS ( [0] -> [1, 1, 2], [2, 0, 1] -> [0, 0, 2], [2, 1] -> []) 12.62/3.24 reason 12.62/3.24 DP transform 12.62/3.24 property Termination 12.62/3.24 has value True 12.62/3.24 for SRS ( [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= [], [0#] |-> [2#], [2#, 0, 1] |-> [0#, 0, 2], [2#, 0, 1] |-> [0#, 2], [2#, 0, 1] |-> [2#]) 12.62/3.24 reason 12.62/3.24 remap for 7 rules 12.62/3.24 property Termination 12.62/3.24 has value True 12.62/3.25 for SRS ( [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= [], [3] |-> [4], [4, 0, 1] |-> [3, 0, 2], [4, 0, 1] |-> [3, 2], [4, 0, 1] |-> [4]) 12.62/3.25 reason 12.62/3.25 EDG has 1 SCCs 12.62/3.25 property Termination 12.62/3.25 has value True 12.62/3.25 for SRS ( [3] |-> [4], [4, 0, 1] |-> [4], [4, 0, 1] |-> [3, 2], [4, 0, 1] |-> [3, 0, 2], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 12.62/3.25 reason 12.62/3.25 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 12.62/3.25 interpretation 12.62/3.25 0 / 0A 2A \ 12.62/3.25 \ 0A 0A / 12.62/3.25 1 / 0A 0A \ 12.62/3.25 \ 0A 0A / 12.62/3.25 2 / 0A 0A \ 12.62/3.25 \ 0A 0A / 12.62/3.25 3 / 18A 20A \ 12.62/3.26 \ 18A 20A / 12.62/3.26 4 / 18A 19A \ 12.62/3.26 \ 18A 19A / 12.62/3.26 [3] |-> [4] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 18A 20A \ / 18A 19A \ True False 12.62/3.26 \ 18A 20A / \ 18A 19A / 12.62/3.26 [4, 0, 1] |-> [4] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 20A 20A \ / 18A 19A \ True True 12.62/3.26 \ 20A 20A / \ 18A 19A / 12.62/3.26 [4, 0, 1] |-> [3, 2] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 20A 20A \ / 20A 20A \ True False 12.62/3.26 \ 20A 20A / \ 20A 20A / 12.62/3.26 [4, 0, 1] |-> [3, 0, 2] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 20A 20A \ / 20A 20A \ True False 12.62/3.26 \ 20A 20A / \ 20A 20A / 12.62/3.26 [0] ->= [1, 1, 2] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 0A 2A \ / 0A 0A \ True False 12.62/3.26 \ 0A 0A / \ 0A 0A / 12.62/3.26 [2, 0, 1] ->= [0, 0, 2] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 2A 2A \ / 2A 2A \ True False 12.62/3.26 \ 2A 2A / \ 2A 2A / 12.62/3.26 [2, 1] ->= [] 12.62/3.26 lhs rhs ge gt 12.62/3.26 / 0A 0A \ / 0A - \ True False 12.62/3.26 \ 0A 0A / \ - 0A / 12.62/3.26 property Termination 12.62/3.26 has value True 12.62/3.26 for SRS ( [3] |-> [4], [4, 0, 1] |-> [3, 2], [4, 0, 1] |-> [3, 0, 2], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 12.62/3.26 reason 12.62/3.26 EDG has 1 SCCs 12.62/3.26 property Termination 12.62/3.28 has value True 12.62/3.28 for SRS ( [3] |-> [4], [4, 0, 1] |-> [3, 0, 2], [4, 0, 1] |-> [3, 2], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 12.62/3.28 reason 13.04/3.36 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 13.04/3.36 interpretation 13.04/3.36 0 / 0A 2A \ 13.04/3.36 \ 0A 0A / 13.04/3.36 1 / 0A 2A \ 13.04/3.36 \ -2A 0A / 13.04/3.36 2 / 0A 2A \ 13.04/3.36 \ -2A 0A / 13.04/3.36 3 / 25A 26A \ 13.04/3.36 \ 25A 26A / 13.04/3.36 4 / 25A 26A \ 13.04/3.36 \ 25A 26A / 13.04/3.36 [3] |-> [4] 13.04/3.36 lhs rhs ge gt 13.04/3.36 / 25A 26A \ / 25A 26A \ True False 13.04/3.36 \ 25A 26A / \ 25A 26A / 13.04/3.37 [4, 0, 1] |-> [3, 0, 2] 13.04/3.37 lhs rhs ge gt 13.04/3.37 / 26A 28A \ / 26A 28A \ True False 13.04/3.37 \ 26A 28A / \ 26A 28A / 13.04/3.37 [4, 0, 1] |-> [3, 2] 13.04/3.37 lhs rhs ge gt 13.04/3.37 / 26A 28A \ / 25A 27A \ True True 13.04/3.37 \ 26A 28A / \ 25A 27A / 13.44/3.41 [0] ->= [1, 1, 2] 13.44/3.41 lhs rhs ge gt 13.44/3.41 / 0A 2A \ / 0A 2A \ True False 13.44/3.41 \ 0A 0A / \ -2A 0A / 13.44/3.42 [2, 0, 1] ->= [0, 0, 2] 13.44/3.42 lhs rhs ge gt 13.44/3.42 / 2A 4A \ / 2A 4A \ True False 13.44/3.45 \ 0A 2A / \ 0A 2A / 13.44/3.46 [2, 1] ->= [] 13.44/3.46 lhs rhs ge gt 13.44/3.46 / 0A 2A \ / 0A - \ True False 13.44/3.48 \ -2A 0A / \ - 0A / 13.44/3.48 property Termination 13.44/3.48 has value True 13.44/3.48 for SRS ( [3] |-> [4], [4, 0, 1] |-> [3, 0, 2], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 13.44/3.48 reason 13.44/3.48 EDG has 1 SCCs 13.44/3.48 property Termination 13.44/3.48 has value True 13.44/3.48 for SRS ( [3] |-> [4], [4, 0, 1] |-> [3, 0, 2], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 13.44/3.49 reason 13.44/3.50 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 13.44/3.50 interpretation 13.44/3.50 0 / 2A 4A \ 13.44/3.50 \ 0A 2A / 13.44/3.50 1 / 0A 2A \ 13.44/3.50 \ 0A 0A / 13.44/3.50 2 / 0A 0A \ 13.44/3.50 \ -2A -2A / 13.44/3.50 3 / 6A 7A \ 13.44/3.50 \ 6A 7A / 13.44/3.50 4 / 6A 7A \ 13.44/3.50 \ 6A 7A / 13.44/3.50 [3] |-> [4] 13.44/3.50 lhs rhs ge gt 13.44/3.50 / 6A 7A \ / 6A 7A \ True False 13.44/3.50 \ 6A 7A / \ 6A 7A / 13.44/3.50 [4, 0, 1] |-> [3, 0, 2] 13.44/3.50 lhs rhs ge gt 13.44/3.50 / 10A 10A \ / 8A 8A \ True True 13.44/3.50 \ 10A 10A / \ 8A 8A / 13.44/3.50 [0] ->= [1, 1, 2] 13.44/3.50 lhs rhs ge gt 13.44/3.50 / 2A 4A \ / 2A 2A \ True False 13.44/3.50 \ 0A 2A / \ 0A 0A / 13.82/3.50 [2, 0, 1] ->= [0, 0, 2] 13.82/3.50 lhs rhs ge gt 13.82/3.51 / 4A 4A \ / 4A 4A \ True False 13.82/3.51 \ 2A 2A / \ 2A 2A / 13.82/3.51 [2, 1] ->= [] 13.82/3.51 lhs rhs ge gt 13.82/3.51 / 0A 2A \ / 0A - \ True False 13.82/3.51 \ -2A 0A / \ - 0A / 13.82/3.51 property Termination 13.82/3.51 has value True 13.82/3.51 for SRS ( [3] |-> [4], [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 13.82/3.51 reason 13.82/3.51 weights 13.82/3.51 Map [(3, 1/1)] 13.82/3.51 13.82/3.51 property Termination 13.82/3.51 has value True 13.82/3.51 for SRS ( [0] ->= [1, 1, 2], [2, 0, 1] ->= [0, 0, 2], [2, 1] ->= []) 13.82/3.51 reason 13.82/3.51 EDG has 0 SCCs 13.82/3.51 13.82/3.51 ************************************************** 13.82/3.51 summary 13.82/3.51 ************************************************** 13.82/3.51 SRS with 3 rules on 3 letters Remap { tracing = False} 13.82/3.51 SRS with 3 rules on 3 letters DP transform 13.82/3.51 SRS with 7 rules on 5 letters Remap { tracing = False} 13.82/3.51 SRS with 7 rules on 5 letters EDG 13.82/3.51 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 13.82/3.51 SRS with 6 rules on 5 letters EDG 13.82/3.51 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 13.82/3.51 SRS with 5 rules on 5 letters EDG 13.82/3.51 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 13.82/3.51 SRS with 4 rules on 5 letters weights 13.82/3.51 SRS with 3 rules on 3 letters EDG 13.82/3.51 13.82/3.51 ************************************************** 13.82/3.51 (3, 3)\Deepee(7, 5)\Matrix{\Arctic}{2}(6, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{2}(4, 5)\Weight(3, 3)\EDG[] 13.82/3.51 ************************************************** 16.84/4.35 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]} 16.84/4.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 17.32/4.46 EOF