78.32/19.81 YES 78.32/19.81 property Termination 78.32/19.81 has value True 78.32/19.82 for SRS ( [b, a, b, a] -> [b, a, b, b], [b, b, b, b] -> [b, a, a, b], [a, a, a, b] -> [b, a, b, a]) 78.32/19.82 reason 78.32/19.82 remap for 3 rules 78.32/19.82 property Termination 78.32/19.82 has value True 78.32/19.82 for SRS ( [0, 1, 0, 1] -> [0, 1, 0, 0], [0, 0, 0, 0] -> [0, 1, 1, 0], [1, 1, 1, 0] -> [0, 1, 0, 1]) 78.32/19.82 reason 78.32/19.82 reverse each lhs and rhs 78.32/19.82 property Termination 78.32/19.82 has value True 78.32/19.82 for SRS ( [1, 0, 1, 0] -> [0, 0, 1, 0], [0, 0, 0, 0] -> [0, 1, 1, 0], [0, 1, 1, 1] -> [1, 0, 1, 0]) 78.32/19.82 reason 78.32/19.82 DP transform 78.32/19.82 property Termination 78.32/19.82 has value True 78.32/19.82 for SRS ( [1, 0, 1, 0] ->= [0, 0, 1, 0], [0, 0, 0, 0] ->= [0, 1, 1, 0], [0, 1, 1, 1] ->= [1, 0, 1, 0], [1#, 0, 1, 0] |-> [0#, 0, 1, 0], [0#, 0, 0, 0] |-> [0#, 1, 1, 0], [0#, 0, 0, 0] |-> [1#, 1, 0], [0#, 0, 0, 0] |-> [1#, 0], [0#, 1, 1, 1] |-> [1#, 0, 1, 0], [0#, 1, 1, 1] |-> [0#, 1, 0], [0#, 1, 1, 1] |-> [1#, 0], [0#, 1, 1, 1] |-> [0#]) 78.32/19.82 reason 78.32/19.82 remap for 11 rules 78.32/19.82 property Termination 78.32/19.82 has value True 78.32/19.83 for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1], [2, 1, 0, 1] |-> [3, 1, 0, 1], [3, 1, 1, 1] |-> [3, 0, 0, 1], [3, 1, 1, 1] |-> [2, 0, 1], [3, 1, 1, 1] |-> [2, 1], [3, 0, 0, 0] |-> [2, 1, 0, 1], [3, 0, 0, 0] |-> [3, 0, 1], [3, 0, 0, 0] |-> [2, 1], [3, 0, 0, 0] |-> [3]) 78.32/19.83 reason 78.32/19.83 weights 78.32/19.84 Map [(0, 1/9), (1, 1/9)] 78.32/19.84 78.32/19.84 property Termination 78.32/19.84 has value True 78.32/19.85 for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1], [2, 1, 0, 1] |-> [3, 1, 0, 1], [3, 1, 1, 1] |-> [3, 0, 0, 1], [3, 0, 0, 0] |-> [2, 1, 0, 1]) 78.32/19.85 reason 78.48/19.86 EDG has 1 SCCs 78.48/19.86 property Termination 78.48/19.86 has value True 78.48/19.87 for SRS ( [2, 1, 0, 1] |-> [3, 1, 0, 1], [3, 0, 0, 0] |-> [2, 1, 0, 1], [3, 1, 1, 1] |-> [3, 0, 0, 1], [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1]) 78.48/19.87 reason 78.48/19.88 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 78.48/19.88 interpretation 78.48/19.88 0 / 9A 12A 12A \ 78.48/19.88 | 9A 9A 9A | 78.48/19.88 \ 6A 9A 9A / 78.48/19.88 1 / 6A 6A 9A \ 78.48/19.88 | 6A 6A 9A | 78.48/19.88 \ 6A 6A 9A / 78.48/19.88 2 / 7A 7A 10A \ 78.48/19.88 | 7A 7A 10A | 78.48/19.88 \ 7A 7A 10A / 78.48/19.88 3 / 7A 7A 10A \ 78.48/19.88 | 7A 7A 10A | 78.48/19.88 \ 7A 7A 10A / 78.48/19.88 [2, 1, 0, 1] |-> [3, 1, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 34A 34A 37A \ / 34A 34A 37A \ True False 78.48/19.88 | 34A 34A 37A | | 34A 34A 37A | 78.48/19.88 \ 34A 34A 37A / \ 34A 34A 37A / 78.48/19.88 [3, 0, 0, 0] |-> [2, 1, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 37A 40A 40A \ / 34A 34A 37A \ True True 78.48/19.88 | 37A 40A 40A | | 34A 34A 37A | 78.48/19.88 \ 37A 40A 40A / \ 34A 34A 37A / 78.48/19.88 [3, 1, 1, 1] |-> [3, 0, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 34A 34A 37A \ / 34A 34A 37A \ True False 78.48/19.88 | 34A 34A 37A | | 34A 34A 37A | 78.48/19.88 \ 34A 34A 37A / \ 34A 34A 37A / 78.48/19.88 [0, 1, 0, 1] ->= [1, 1, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 36A 36A 39A \ / 33A 33A 36A \ True False 78.48/19.88 | 33A 33A 36A | | 33A 33A 36A | 78.48/19.88 \ 33A 33A 36A / \ 33A 33A 36A / 78.48/19.88 [1, 1, 1, 1] ->= [1, 0, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 33A 33A 36A \ / 33A 33A 36A \ True False 78.48/19.88 | 33A 33A 36A | | 33A 33A 36A | 78.48/19.88 \ 33A 33A 36A / \ 33A 33A 36A / 78.48/19.88 [1, 0, 0, 0] ->= [0, 1, 0, 1] 78.48/19.88 lhs rhs ge gt 78.48/19.88 / 36A 39A 39A \ / 36A 36A 39A \ True False 78.48/19.88 | 36A 39A 39A | | 33A 33A 36A | 78.48/19.88 \ 36A 39A 39A / \ 33A 33A 36A / 78.48/19.88 property Termination 78.48/19.88 has value True 78.48/19.89 for SRS ( [2, 1, 0, 1] |-> [3, 1, 0, 1], [3, 1, 1, 1] |-> [3, 0, 0, 1], [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1]) 78.48/19.89 reason 78.48/19.89 weights 78.48/19.89 Map [(2, 1/1)] 78.48/19.89 78.48/19.89 property Termination 78.48/19.89 has value True 78.48/19.89 for SRS ( [3, 1, 1, 1] |-> [3, 0, 0, 1], [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1]) 78.48/19.89 reason 78.48/19.89 EDG has 1 SCCs 78.48/19.89 property Termination 78.48/19.89 has value True 78.48/19.90 for SRS ( [3, 1, 1, 1] |-> [3, 0, 0, 1], [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1]) 78.48/19.90 reason 78.48/19.90 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 78.48/19.90 interpretation 78.48/19.92 0 Wk / 1A - - 1A \ 78.48/19.92 | 1A 2A 1A 2A | 78.48/19.92 | 3A 2A 1A - | 78.48/19.92 \ - - - 0A / 78.48/19.92 1 Wk / 0A 0A 0A - \ 78.48/19.92 | 2A 0A - - | 78.48/19.92 | 3A - 1A 3A | 78.48/19.92 \ - - - 0A / 78.83/19.99 3 Wk / 3A 0A 0A 3A \ 78.83/19.99 | - - - - | 78.99/20.02 | - - - - | 78.99/20.02 \ - - - 0A / 78.99/20.03 [3, 1, 1, 1] |-> [3, 0, 0, 1] 79.16/20.08 lhs rhs ge gt 79.16/20.08 Wk / 7A 6A 6A 7A \ Wk / 6A 5A 5A 6A \ True True 79.16/20.08 | - - - - | | - - - - | 79.16/20.08 | - - - - | | - - - - | 79.16/20.08 \ - - - 0A / \ - - - 0A / 79.38/20.10 [0, 1, 0, 1] ->= [1, 1, 0, 1] 80.37/20.36 lhs rhs ge gt 80.37/20.37 Wk / 5A 4A 4A 5A \ Wk / 5A 4A 4A 5A \ True False 80.37/20.37 | 6A 5A 5A 6A | | 6A 5A 5A 6A | 80.37/20.37 | 7A 6A 6A 7A | | 7A 6A 6A 7A | 80.37/20.37 \ - - - 0A / \ - - - 0A / 80.37/20.37 [1, 1, 1, 1] ->= [1, 0, 0, 1] 80.37/20.37 lhs rhs ge gt 80.37/20.37 Wk / 6A 4A 4A 6A \ Wk / 6A 4A 4A 6A \ True False 80.37/20.37 | 6A 5A 5A 6A | | 6A 4A 4A 6A | 80.37/20.37 | 7A 6A 6A 7A | | 7A 5A 5A 7A | 80.37/20.37 \ - - - 0A / \ - - - 0A / 80.37/20.37 [1, 0, 0, 0] ->= [0, 1, 0, 1] 80.37/20.37 lhs rhs ge gt 80.37/20.37 Wk / 6A 6A 5A 6A \ Wk / 5A 4A 4A 5A \ True False 80.37/20.37 | 6A 6A 5A 6A | | 6A 5A 5A 6A | 80.37/20.37 | 7A 7A 6A 7A | | 7A 6A 6A 7A | 80.37/20.37 \ - - - 0A / \ - - - 0A / 80.37/20.37 property Termination 80.37/20.37 has value True 80.37/20.37 for SRS ( [0, 1, 0, 1] ->= [1, 1, 0, 1], [1, 1, 1, 1] ->= [1, 0, 0, 1], [1, 0, 0, 0] ->= [0, 1, 0, 1]) 80.37/20.37 reason 80.37/20.37 EDG has 0 SCCs 80.37/20.37 80.37/20.37 ************************************************** 80.37/20.37 summary 80.37/20.37 ************************************************** 80.37/20.37 SRS with 3 rules on 2 letters Remap { tracing = False} 80.37/20.37 SRS with 3 rules on 2 letters reverse each lhs and rhs 80.37/20.37 SRS with 3 rules on 2 letters DP transform 80.37/20.37 SRS with 11 rules on 4 letters Remap { tracing = False} 80.37/20.37 SRS with 11 rules on 4 letters weights 80.37/20.37 SRS with 6 rules on 4 letters EDG 80.37/20.37 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 80.37/20.37 SRS with 5 rules on 4 letters weights 80.37/20.37 SRS with 4 rules on 3 letters EDG 80.37/20.37 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 80.37/20.37 SRS with 3 rules on 2 letters EDG 80.37/20.37 80.37/20.37 ************************************************** 80.37/20.37 (3, 2)\Deepee(11, 4)\Weight(6, 4)\Matrix{\Arctic}{3}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 80.37/20.37 ************************************************** 80.37/20.40 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]} 80.37/20.40 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 81.27/20.59 EOF