76.50/19.35 YES 76.50/19.35 property Termination 76.50/19.35 has value True 76.50/19.35 for SRS ( [b, a, a] -> [a, b, c], [c, a] -> [a, c], [c, b] -> [b, a], [a, a, b] -> [d, b, a], [a, d] -> [d, a], [b, d] -> [a, b], [a, a] -> [a, b, a]) 76.50/19.35 reason 76.50/19.35 remap for 7 rules 76.50/19.35 property Termination 76.50/19.35 has value True 76.50/19.35 for SRS ( [0, 1, 1] -> [1, 0, 2], [2, 1] -> [1, 2], [2, 0] -> [0, 1], [1, 1, 0] -> [3, 0, 1], [1, 3] -> [3, 1], [0, 3] -> [1, 0], [1, 1] -> [1, 0, 1]) 76.50/19.35 reason 76.50/19.35 reverse each lhs and rhs 76.50/19.35 property Termination 76.50/19.35 has value True 76.50/19.35 for SRS ( [1, 1, 0] -> [2, 0, 1], [1, 2] -> [2, 1], [0, 2] -> [1, 0], [0, 1, 1] -> [1, 0, 3], [3, 1] -> [1, 3], [3, 0] -> [0, 1], [1, 1] -> [1, 0, 1]) 76.50/19.35 reason 76.50/19.35 DP transform 76.50/19.35 property Termination 76.50/19.35 has value True 76.50/19.35 for SRS ( [1, 1, 0] ->= [2, 0, 1], [1, 2] ->= [2, 1], [0, 2] ->= [1, 0], [0, 1, 1] ->= [1, 0, 3], [3, 1] ->= [1, 3], [3, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1], [1#, 1, 0] |-> [0#, 1], [1#, 1, 0] |-> [1#], [1#, 2] |-> [1#], [0#, 2] |-> [1#, 0], [0#, 2] |-> [0#], [0#, 1, 1] |-> [1#, 0, 3], [0#, 1, 1] |-> [0#, 3], [0#, 1, 1] |-> [3#], [3#, 1] |-> [1#, 3], [3#, 1] |-> [3#], [3#, 0] |-> [0#, 1], [3#, 0] |-> [1#], [1#, 1] |-> [1#, 0, 1], [1#, 1] |-> [0#, 1]) 76.50/19.35 reason 76.50/19.35 remap for 21 rules 76.50/19.35 property Termination 76.50/19.35 has value True 76.62/19.38 for SRS ( [0, 0, 1] ->= [2, 1, 0], [0, 2] ->= [2, 0], [1, 2] ->= [0, 1], [1, 0, 0] ->= [0, 1, 3], [3, 0] ->= [0, 3], [3, 1] ->= [1, 0], [0, 0] ->= [0, 1, 0], [4, 0, 1] |-> [5, 0], [4, 0, 1] |-> [4], [4, 2] |-> [4], [5, 2] |-> [4, 1], [5, 2] |-> [5], [5, 0, 0] |-> [4, 1, 3], [5, 0, 0] |-> [5, 3], [5, 0, 0] |-> [6], [6, 0] |-> [4, 3], [6, 0] |-> [6], [6, 1] |-> [5, 0], [6, 1] |-> [4], [4, 0] |-> [4, 1, 0], [4, 0] |-> [5, 0]) 76.62/19.38 reason 76.62/19.38 weights 76.62/19.38 Map [(0, 3/1), (2, 3/1), (3, 3/1), (4, 2/1), (6, 4/1)] 76.62/19.38 76.62/19.38 property Termination 76.62/19.38 has value True 76.62/19.38 for SRS ( [0, 0, 1] ->= [2, 1, 0], [0, 2] ->= [2, 0], [1, 2] ->= [0, 1], [1, 0, 0] ->= [0, 1, 3], [3, 0] ->= [0, 3], [3, 1] ->= [1, 0], [0, 0] ->= [0, 1, 0], [4, 0] |-> [4, 1, 0]) 76.62/19.38 reason 76.62/19.38 EDG has 1 SCCs 76.62/19.38 property Termination 76.62/19.38 has value True 76.62/19.38 for SRS ( [4, 0] |-> [4, 1, 0], [0, 0, 1] ->= [2, 1, 0], [0, 2] ->= [2, 0], [1, 2] ->= [0, 1], [1, 0, 0] ->= [0, 1, 3], [3, 0] ->= [0, 3], [3, 1] ->= [1, 0], [0, 0] ->= [0, 1, 0]) 76.62/19.38 reason 76.62/19.38 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 76.62/19.38 interpretation 76.62/19.38 0 Wk / - 0A 1A 1A \ 76.62/19.38 | - 0A 2A 1A | 76.62/19.38 | 2A 1A 3A 3A | 76.62/19.38 \ - - - 0A / 76.62/19.39 1 Wk / - 0A 0A 0A \ 76.62/19.39 | 0A - - - | 76.62/19.39 | - 0A - - | 76.62/19.39 \ - - - 0A / 76.62/19.39 2 Wk / 0A 2A - 4A \ 76.62/19.39 | 1A 3A 2A 3A | 76.62/19.39 | 2A 0A 3A 3A | 76.62/19.39 \ - - - 0A / 76.62/19.39 3 Wk / 3A 2A 4A 0A \ 76.62/19.39 | 1A - 2A - | 76.62/19.39 | 2A 0A 3A - | 76.62/19.39 \ - - - 0A / 76.62/19.39 4 Wk / 0A 1A 2A 1A \ 76.62/19.39 | - - - - | 76.62/19.39 | - - - - | 76.62/19.39 \ - - - 0A / 76.62/19.39 [4, 0] |-> [4, 1, 0] 76.62/19.39 lhs rhs ge gt 76.62/19.39 Wk / 4A 3A 5A 5A \ Wk / 2A 2A 4A 3A \ True True 76.62/19.39 | - - - - | | - - - - | 76.62/19.39 | - - - - | | - - - - | 76.62/19.39 \ - - - 0A / \ - - - 0A / 76.62/19.39 [0, 0, 1] ->= [2, 1, 0] 76.62/19.40 lhs rhs ge gt 76.62/19.40 Wk / 2A 4A 3A 4A \ Wk / 2A 2A 3A 4A \ True False 76.62/19.40 | 3A 5A 4A 5A | | 3A 3A 4A 4A | 76.62/19.40 | 4A 6A 5A 6A | | 4A 3A 5A 5A | 76.62/19.40 \ - - - 0A / \ - - - 0A / 76.62/19.40 [0, 2] ->= [2, 0] 76.62/19.41 lhs rhs ge gt 76.62/19.41 Wk / 3A 3A 4A 4A \ Wk / - 2A 4A 4A \ True False 76.62/19.41 | 4A 3A 5A 5A | | 4A 3A 5A 5A | 76.62/19.41 | 5A 4A 6A 6A | | 5A 4A 6A 6A | 76.62/19.41 \ - - - 0A / \ - - - 0A / 76.62/19.41 [1, 2] ->= [0, 1] 76.62/19.41 lhs rhs ge gt 76.62/19.41 Wk / 2A 3A 3A 3A \ Wk / 0A 1A - 1A \ True False 76.62/19.41 | 0A 2A - 4A | | 0A 2A - 1A | 76.62/19.41 | 1A 3A 2A 3A | | 1A 3A 2A 3A | 76.62/19.41 \ - - - 0A / \ - - - 0A / 76.62/19.41 [1, 0, 0] ->= [0, 1, 3] 76.62/19.42 lhs rhs ge gt 76.62/19.42 Wk / 5A 4A 6A 6A \ Wk / 3A 2A 4A 1A \ True False 76.62/19.42 | 3A 2A 4A 4A | | 3A 2A 4A 1A | 76.62/19.42 | 4A 3A 5A 5A | | 4A 3A 5A 3A | 76.62/19.42 \ - - - 0A / \ - - - 0A / 76.62/19.42 [3, 0] ->= [0, 3] 76.62/19.42 lhs rhs ge gt 76.62/19.42 Wk / 6A 5A 7A 7A \ Wk / 3A 1A 4A 1A \ True False 76.62/19.42 | 4A 3A 5A 5A | | 4A 2A 5A 1A | 76.62/19.42 | 5A 4A 6A 6A | | 5A 4A 6A 3A | 76.62/19.42 \ - - - 0A / \ - - - 0A / 76.62/19.42 [3, 1] ->= [1, 0] 76.62/19.42 lhs rhs ge gt 76.62/19.42 Wk / 2A 4A 3A 3A \ Wk / 2A 1A 3A 3A \ True False 76.62/19.42 | - 2A 1A 1A | | - 0A 1A 1A | 76.62/19.42 | 0A 3A 2A 2A | | - 0A 2A 1A | 76.62/19.42 \ - - - 0A / \ - - - 0A / 76.62/19.42 [0, 0] ->= [0, 1, 0] 76.86/19.43 lhs rhs ge gt 76.86/19.43 Wk / 3A 2A 4A 4A \ Wk / - 1A 3A 2A \ True True 76.86/19.43 | 4A 3A 5A 5A | | - 2A 4A 3A | 76.86/19.43 | 5A 4A 6A 6A | | 4A 3A 5A 5A | 76.86/19.43 \ - - - 0A / \ - - - 0A / 76.86/19.43 property Termination 76.86/19.43 has value True 76.86/19.43 for SRS ( [0, 0, 1] ->= [2, 1, 0], [0, 2] ->= [2, 0], [1, 2] ->= [0, 1], [1, 0, 0] ->= [0, 1, 3], [3, 0] ->= [0, 3], [3, 1] ->= [1, 0], [0, 0] ->= [0, 1, 0]) 76.86/19.43 reason 76.86/19.43 EDG has 0 SCCs 76.86/19.43 76.86/19.43 ************************************************** 76.86/19.43 summary 76.86/19.43 ************************************************** 76.86/19.43 SRS with 7 rules on 4 letters Remap { tracing = False} 76.86/19.43 SRS with 7 rules on 4 letters reverse each lhs and rhs 76.86/19.43 SRS with 7 rules on 4 letters DP transform 76.86/19.43 SRS with 21 rules on 7 letters Remap { tracing = False} 76.86/19.43 SRS with 21 rules on 7 letters weights 76.86/19.43 SRS with 8 rules on 5 letters EDG 76.86/19.43 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 76.86/19.43 SRS with 7 rules on 4 letters EDG 76.86/19.43 76.86/19.43 ************************************************** 76.86/19.45 (7, 4)\Deepee(21, 7)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 4)\EDG[] 76.86/19.45 ************************************************** 77.82/19.72 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]} 77.82/19.72 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 79.34/20.13 EOF