73.48/18.61 YES 73.48/18.61 property Termination 73.48/18.61 has value True 73.48/18.61 for SRS ( [a] -> [], [a, b] -> [c, b, c, a], [c, c] -> [c, b, a]) 73.48/18.61 reason 73.48/18.61 remap for 3 rules 73.48/18.61 property Termination 73.48/18.61 has value True 73.48/18.61 for SRS ( [0] -> [], [0, 1] -> [2, 1, 2, 0], [2, 2] -> [2, 1, 0]) 73.48/18.61 reason 73.48/18.61 reverse each lhs and rhs 73.48/18.61 property Termination 73.48/18.61 has value True 73.48/18.61 for SRS ( [0] -> [], [1, 0] -> [0, 2, 1, 2], [2, 2] -> [0, 1, 2]) 73.48/18.61 reason 73.48/18.61 DP transform 73.48/18.61 property Termination 73.48/18.61 has value True 73.48/18.62 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2], [1#, 0] |-> [0#, 2, 1, 2], [1#, 0] |-> [2#, 1, 2], [1#, 0] |-> [1#, 2], [1#, 0] |-> [2#], [2#, 2] |-> [0#, 1, 2], [2#, 2] |-> [1#, 2]) 73.48/18.62 reason 73.48/18.62 remap for 9 rules 73.48/18.62 property Termination 73.48/18.62 has value True 73.48/18.62 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2], [3, 0] |-> [4, 2, 1, 2], [3, 0] |-> [5, 1, 2], [3, 0] |-> [3, 2], [3, 0] |-> [5], [5, 2] |-> [4, 1, 2], [5, 2] |-> [3, 2]) 73.48/18.62 reason 73.48/18.62 weights 73.48/18.62 Map [(3, 1/2), (5, 1/2)] 73.48/18.62 73.48/18.62 property Termination 73.48/18.62 has value True 73.48/18.62 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2], [3, 0] |-> [5, 1, 2], [3, 0] |-> [3, 2], [3, 0] |-> [5], [5, 2] |-> [3, 2]) 73.48/18.62 reason 73.48/18.62 EDG has 1 SCCs 73.48/18.62 property Termination 73.48/18.62 has value True 73.48/18.62 for SRS ( [3, 0] |-> [5, 1, 2], [5, 2] |-> [3, 2], [3, 0] |-> [5], [3, 0] |-> [3, 2], [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2]) 73.48/18.62 reason 73.48/18.62 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 73.48/18.62 interpretation 73.48/18.62 0 Wk / 0A - - - \ 73.48/18.62 | 3A 0A 3A 4A | 73.48/18.62 | - 1A 0A 3A | 73.48/18.62 \ - - - 0A / 73.48/18.62 1 Wk / - 0A - 1A \ 73.48/18.62 | - 3A - 2A | 73.48/18.62 | - 0A - - | 73.48/18.62 \ - - - 0A / 73.48/18.64 2 Wk / 3A 0A 2A - \ 73.48/18.64 | 0A - 0A - | 73.48/18.64 | 3A - 3A 4A | 73.48/18.64 \ - - - 0A / 73.48/18.64 3 Wk / 3A 3A 2A 3A \ 73.48/18.64 | - - - - | 73.48/18.64 | - - - - | 73.48/18.64 \ - - - 0A / 73.65/18.65 5 Wk / 4A - - 7A \ 73.65/18.65 | - - - - | 73.65/18.65 | - - - - | 73.65/18.65 \ - - - 0A / 73.65/18.65 [3, 0] |-> [5, 1, 2] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 6A 3A 6A 7A \ Wk / 4A - 4A 7A \ True False 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [5, 2] |-> [3, 2] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 7A 4A 6A 7A \ Wk / 6A 3A 5A 6A \ True True 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [3, 0] |-> [5] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 6A 3A 6A 7A \ Wk / 4A - - 7A \ True False 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [3, 0] |-> [3, 2] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 6A 3A 6A 7A \ Wk / 6A 3A 5A 6A \ True False 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 | - - - - | | - - - - | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [0] ->= [] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 0A - - - \ Wk / 0A - - - \ True False 73.65/18.65 | 3A 0A 3A 4A | | - 0A - - | 73.65/18.65 | - 1A 0A 3A | | - - 0A - | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [1, 0] ->= [0, 2, 1, 2] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 3A 0A 3A 4A \ Wk / 3A - 3A 4A \ True False 73.65/18.65 | 6A 3A 6A 7A | | 6A - 6A 7A | 73.65/18.65 | 3A 0A 3A 4A | | 3A - 3A 4A | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 [2, 2] ->= [0, 1, 2] 73.65/18.65 lhs rhs ge gt 73.65/18.65 Wk / 6A 3A 5A 6A \ Wk / 0A - 0A 1A \ True False 73.65/18.65 | 3A 0A 3A 4A | | 3A - 3A 4A | 73.65/18.65 | 6A 3A 6A 7A | | 4A - 4A 3A | 73.65/18.65 \ - - - 0A / \ - - - 0A / 73.65/18.65 property Termination 73.65/18.65 has value True 73.65/18.65 for SRS ( [3, 0] |-> [5, 1, 2], [3, 0] |-> [5], [3, 0] |-> [3, 2], [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2]) 73.65/18.65 reason 73.65/18.65 weights 73.69/18.66 Map [(3, 2/1)] 73.69/18.66 73.69/18.66 property Termination 73.69/18.66 has value True 73.69/18.66 for SRS ( [3, 0] |-> [3, 2], [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2]) 73.69/18.66 reason 73.69/18.66 EDG has 1 SCCs 73.69/18.66 property Termination 73.69/18.66 has value True 73.69/18.66 for SRS ( [3, 0] |-> [3, 2], [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2]) 73.69/18.66 reason 73.69/18.66 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 73.69/18.66 interpretation 73.69/18.66 0 Wk / 0A 0A 3A - \ 73.69/18.66 | 0A 0A - 4A | 73.69/18.66 | 3A 3A 0A - | 73.69/18.66 \ - - - 0A / 73.69/18.66 1 Wk / - 0A 0A 1A \ 73.69/18.66 | - 0A 0A - | 73.69/18.66 | 0A 3A 3A - | 73.69/18.66 \ - - - 0A / 73.69/18.66 2 Wk / 3A 3A 0A 4A \ 73.69/18.66 | 0A 0A - 0A | 73.69/18.66 | 0A - - 1A | 73.69/18.66 \ - - - 0A / 73.69/18.66 3 Wk / - 3A 3A 6A \ 73.69/18.66 | - - - - | 73.69/18.66 | - - - - | 73.69/18.66 \ - - - 0A / 73.69/18.66 [3, 0] |-> [3, 2] 73.69/18.67 lhs rhs ge gt 73.69/18.67 Wk / 6A 6A 3A 7A \ Wk / 3A 3A - 6A \ True True 73.69/18.67 | - - - - | | - - - - | 73.69/18.67 | - - - - | | - - - - | 73.69/18.67 \ - - - 0A / \ - - - 0A / 73.69/18.67 [0] ->= [] 73.69/18.67 lhs rhs ge gt 73.69/18.67 Wk / 0A 0A 3A - \ Wk / 0A - - - \ True False 73.69/18.67 | 0A 0A - 4A | | - 0A - - | 73.69/18.67 | 3A 3A 0A - | | - - 0A - | 73.69/18.67 \ - - - 0A / \ - - - 0A / 73.69/18.67 [1, 0] ->= [0, 2, 1, 2] 73.69/18.67 lhs rhs ge gt 73.69/18.67 Wk / 3A 3A 0A 4A \ Wk / 3A 3A 0A 4A \ True False 73.69/18.67 | 3A 3A 0A 4A | | 3A 3A 0A 4A | 73.69/18.67 | 6A 6A 3A 7A | | 6A 6A 3A 7A | 73.69/18.67 \ - - - 0A / \ - - - 0A / 73.69/18.67 [2, 2] ->= [0, 1, 2] 73.69/18.67 lhs rhs ge gt 73.69/18.67 Wk / 6A 6A 3A 7A \ Wk / 6A 6A 3A 7A \ True False 73.69/18.67 | 3A 3A 0A 4A | | 0A 0A - 4A | 73.69/18.67 | 3A 3A 0A 4A | | 3A 3A 0A 4A | 73.69/18.67 \ - - - 0A / \ - - - 0A / 73.69/18.67 property Termination 73.69/18.67 has value True 73.69/18.67 for SRS ( [0] ->= [], [1, 0] ->= [0, 2, 1, 2], [2, 2] ->= [0, 1, 2]) 73.69/18.67 reason 73.69/18.67 EDG has 0 SCCs 73.69/18.67 73.69/18.67 ************************************************** 73.69/18.67 summary 73.69/18.67 ************************************************** 73.69/18.67 SRS with 3 rules on 3 letters Remap { tracing = False} 73.69/18.67 SRS with 3 rules on 3 letters reverse each lhs and rhs 73.69/18.67 SRS with 3 rules on 3 letters DP transform 73.69/18.67 SRS with 9 rules on 6 letters Remap { tracing = False} 73.69/18.67 SRS with 9 rules on 6 letters weights 73.69/18.67 SRS with 7 rules on 5 letters EDG 73.69/18.67 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 73.69/18.67 SRS with 6 rules on 5 letters weights 73.69/18.67 SRS with 4 rules on 4 letters EDG 73.69/18.67 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 73.69/18.67 SRS with 3 rules on 3 letters EDG 73.69/18.67 73.69/18.67 ************************************************** 73.69/18.67 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 73.69/18.67 ************************************************** 73.69/18.71 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]} 73.69/18.71 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 74.10/18.79 EOF