92.61/23.42 YES 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [a, a, a] -> [b], [a, b, b] -> [b, a, a, b, a]) 92.61/23.42 reason 92.61/23.42 remap for 2 rules 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [0, 0, 0] -> [1], [0, 1, 1] -> [1, 0, 0, 1, 0]) 92.61/23.42 reason 92.61/23.42 reverse each lhs and rhs 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [0, 0, 0] -> [1], [1, 1, 0] -> [0, 1, 0, 0, 1]) 92.61/23.42 reason 92.61/23.42 DP transform 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1], [0#, 0, 0] |-> [1#], [1#, 1, 0] |-> [0#, 1, 0, 0, 1], [1#, 1, 0] |-> [1#, 0, 0, 1], [1#, 1, 0] |-> [0#, 0, 1], [1#, 1, 0] |-> [0#, 1], [1#, 1, 0] |-> [1#]) 92.61/23.42 reason 92.61/23.42 remap for 8 rules 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1], [2, 0, 0] |-> [3], [3, 1, 0] |-> [2, 1, 0, 0, 1], [3, 1, 0] |-> [3, 0, 0, 1], [3, 1, 0] |-> [2, 0, 1], [3, 1, 0] |-> [2, 1], [3, 1, 0] |-> [3]) 92.61/23.42 reason 92.61/23.42 EDG has 1 SCCs 92.61/23.42 property Termination 92.61/23.42 has value True 92.61/23.42 for SRS ( [2, 0, 0] |-> [3], [3, 1, 0] |-> [3], [3, 1, 0] |-> [2, 1], [3, 1, 0] |-> [2, 0, 1], [3, 1, 0] |-> [3, 0, 0, 1], [3, 1, 0] |-> [2, 1, 0, 0, 1], [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1]) 92.61/23.42 reason 92.61/23.42 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 92.61/23.42 interpretation 92.76/23.45 0 Wk / - 2A 0A 2A \ 92.76/23.45 | - - 0A 1A | 92.76/23.45 | 0A - 2A 3A | 92.76/23.45 \ - - - 0A / 92.76/23.45 1 Wk / - 2A - 0A \ 92.76/23.45 | 2A 2A - 5A | 92.76/23.45 | - 0A - - | 92.76/23.45 \ - - - 0A / 92.76/23.45 2 Wk / - - 2A 5A \ 92.76/23.45 | - - 1A 0A | 92.76/23.45 | - - 1A 6A | 92.76/23.45 \ - - - 0A / 92.76/23.45 3 Wk / - 0A - 6A \ 92.76/23.45 | - 0A - - | 92.76/23.45 | - 1A - - | 92.76/23.45 \ - - - 0A / 92.76/23.45 [2, 0, 0] |-> [3] 92.76/23.45 lhs rhs ge gt 92.76/23.45 Wk / 4A 4A 6A 7A \ Wk / - 0A - 6A \ True True 92.76/23.45 | 3A 3A 5A 6A | | - 0A - - | 92.76/23.45 | 3A 3A 5A 6A | | - 1A - - | 92.76/23.45 \ - - - 0A / \ - - - 0A / 92.76/23.45 [3, 1, 0] |-> [3] 92.76/23.47 lhs rhs ge gt 92.76/23.47 Wk / - 4A 2A 6A \ Wk / - 0A - 6A \ True False 92.76/23.47 | - 4A 2A 5A | | - 0A - - | 92.76/23.47 | - 5A 3A 6A | | - 1A - - | 92.76/23.47 \ - - - 0A / \ - - - 0A / 92.76/23.47 [3, 1, 0] |-> [2, 1] 92.76/23.47 lhs rhs ge gt 92.76/23.47 Wk / - 4A 2A 6A \ Wk / - 2A - 5A \ True False 92.76/23.47 | - 4A 2A 5A | | - 1A - 0A | 92.76/23.47 | - 5A 3A 6A | | - 1A - 6A | 92.76/23.47 \ - - - 0A / \ - - - 0A / 92.76/23.47 [3, 1, 0] |-> [2, 0, 1] 92.76/23.47 lhs rhs ge gt 92.76/23.47 Wk / - 4A 2A 6A \ Wk / - 4A - 5A \ True False 92.76/23.47 | - 4A 2A 5A | | - 3A - 4A | 92.76/23.47 | - 5A 3A 6A | | - 3A - 6A | 92.76/23.47 \ - - - 0A / \ - - - 0A / 92.76/23.47 [3, 1, 0] |-> [3, 0, 0, 1] 92.76/23.47 lhs rhs ge gt 92.76/23.47 Wk / - 4A 2A 6A \ Wk / - 2A - 6A \ True False 92.76/23.47 | - 4A 2A 5A | | - 2A - 3A | 92.76/23.47 | - 5A 3A 6A | | - 3A - 4A | 92.76/23.47 \ - - - 0A / \ - - - 0A / 92.76/23.47 [3, 1, 0] |-> [2, 1, 0, 0, 1] 92.76/23.48 lhs rhs ge gt 92.76/23.48 Wk / - 4A 2A 6A \ Wk / - 4A - 5A \ True False 92.76/23.48 | - 4A 2A 5A | | - 3A - 4A | 92.76/23.48 | - 5A 3A 6A | | - 3A - 6A | 92.76/23.48 \ - - - 0A / \ - - - 0A / 92.76/23.48 [0, 0, 0] ->= [1] 92.76/23.48 lhs rhs ge gt 92.76/23.48 Wk / 2A 2A 4A 5A \ Wk / - 2A - 0A \ True False 92.76/23.48 | 2A 2A 4A 5A | | 2A 2A - 5A | 92.76/23.48 | 4A 4A 6A 7A | | - 0A - - | 92.76/23.48 \ - - - 0A / \ - - - 0A / 92.76/23.48 [1, 1, 0] ->= [0, 1, 0, 0, 1] 92.76/23.53 lhs rhs ge gt 92.76/23.53 Wk / - 6A 4A 7A \ Wk / - 6A - 7A \ True False 92.76/23.53 | - 6A 4A 7A | | - 2A - 3A | 92.76/23.53 | - 4A 2A 5A | | - 4A - 5A | 92.76/23.53 \ - - - 0A / \ - - - 0A / 92.76/23.53 property Termination 92.76/23.53 has value True 92.76/23.53 for SRS ( [3, 1, 0] |-> [3], [3, 1, 0] |-> [2, 1], [3, 1, 0] |-> [2, 0, 1], [3, 1, 0] |-> [3, 0, 0, 1], [3, 1, 0] |-> [2, 1, 0, 0, 1], [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1]) 92.76/23.53 reason 92.76/23.53 weights 92.76/23.53 Map [(3, 3/1)] 92.76/23.53 92.76/23.53 property Termination 92.76/23.53 has value True 92.76/23.53 for SRS ( [3, 1, 0] |-> [3], [3, 1, 0] |-> [3, 0, 0, 1], [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1]) 92.76/23.53 reason 92.76/23.53 EDG has 1 SCCs 92.76/23.53 property Termination 92.76/23.53 has value True 92.76/23.53 for SRS ( [3, 1, 0] |-> [3], [3, 1, 0] |-> [3, 0, 0, 1], [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1]) 92.76/23.53 reason 92.76/23.53 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 92.76/23.53 interpretation 92.76/23.53 0 Wk / 2A 0A - 0A \ 92.76/23.53 | 0A - 2A 3A | 92.76/23.53 | 0A - - 0A | 92.76/23.53 \ - - - 0A / 93.11/23.57 1 Wk / - - 0A 0A \ 93.11/23.57 | - - 2A 3A | 93.11/23.57 | - 2A 2A 1A | 93.11/23.57 \ - - - 0A / 93.11/23.57 3 Wk / - - 1A 1A \ 93.11/23.57 | - - - - | 93.11/23.57 | - - - - | 93.11/23.57 \ - - - 0A / 93.11/23.57 [3, 1, 0] |-> [3] 93.11/23.57 lhs rhs ge gt 93.11/23.57 Wk / 3A - 5A 6A \ Wk / - - 1A 1A \ True True 93.11/23.57 | - - - - | | - - - - | 93.11/23.57 | - - - - | | - - - - | 93.11/23.57 \ - - - 0A / \ - - - 0A / 93.11/23.57 [3, 1, 0] |-> [3, 0, 0, 1] 93.11/23.57 lhs rhs ge gt 93.11/23.57 Wk / 3A - 5A 6A \ Wk / - - 3A 4A \ True True 93.11/23.57 | - - - - | | - - - - | 93.11/23.57 | - - - - | | - - - - | 93.11/23.57 \ - - - 0A / \ - - - 0A / 93.11/23.57 [0, 0, 0] ->= [1] 93.11/23.59 lhs rhs ge gt 93.11/23.59 Wk / 6A 4A 4A 5A \ Wk / - - 0A 0A \ True False 93.11/23.59 | 4A 2A 2A 3A | | - - 2A 3A | 93.11/23.59 | 4A 2A 2A 3A | | - 2A 2A 1A | 93.11/23.59 \ - - - 0A / \ - - - 0A / 93.11/23.59 [1, 1, 0] ->= [0, 1, 0, 0, 1] 93.33/23.59 lhs rhs ge gt 93.33/23.59 Wk / 2A - 4A 5A \ Wk / - - 4A 5A \ True False 93.33/23.59 | 4A - 6A 7A | | - - 6A 7A | 93.33/23.59 | 4A - 6A 7A | | - - 2A 3A | 93.33/23.59 \ - - - 0A / \ - - - 0A / 93.33/23.59 property Termination 93.33/23.59 has value True 93.33/23.59 for SRS ( [0, 0, 0] ->= [1], [1, 1, 0] ->= [0, 1, 0, 0, 1]) 93.33/23.59 reason 93.33/23.59 EDG has 0 SCCs 93.33/23.59 93.33/23.59 ************************************************** 93.33/23.59 summary 93.33/23.59 ************************************************** 93.33/23.59 SRS with 2 rules on 2 letters Remap { tracing = False} 93.33/23.59 SRS with 2 rules on 2 letters reverse each lhs and rhs 93.33/23.59 SRS with 2 rules on 2 letters DP transform 93.33/23.59 SRS with 8 rules on 4 letters Remap { tracing = False} 93.33/23.59 SRS with 8 rules on 4 letters EDG 93.33/23.59 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.33/23.59 SRS with 7 rules on 4 letters weights 93.33/23.59 SRS with 4 rules on 3 letters EDG 93.33/23.59 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 93.33/23.59 SRS with 2 rules on 2 letters EDG 93.33/23.59 93.33/23.59 ************************************************** 93.33/23.60 (2, 2)\Deepee(8, 4)\Matrix{\Arctic}{4}(7, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 93.33/23.60 ************************************************** 93.98/23.80 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]} 93.98/23.80 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 94.50/23.91 EOF