48.76/12.38 YES 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.38 for SRS ( [b, b] -> [a, a, a], [b, a, b] -> [a], [b, a, a] -> [b, a, b]) 48.76/12.38 reason 48.76/12.38 remap for 3 rules 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.38 for SRS ( [0, 0] -> [1, 1, 1], [0, 1, 0] -> [1], [0, 1, 1] -> [0, 1, 0]) 48.76/12.38 reason 48.76/12.38 DP transform 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.38 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0], [0#, 1, 1] |-> [0#, 1, 0], [0#, 1, 1] |-> [0#]) 48.76/12.38 reason 48.76/12.38 remap for 5 rules 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.38 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0], [2, 1, 1] |-> [2, 1, 0], [2, 1, 1] |-> [2]) 48.76/12.38 reason 48.76/12.38 EDG has 1 SCCs 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.38 for SRS ( [2, 1, 1] |-> [2, 1, 0], [2, 1, 1] |-> [2], [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0]) 48.76/12.38 reason 48.76/12.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 48.76/12.38 interpretation 48.76/12.38 0 / 0A 2A \ 48.76/12.38 \ 0A 2A / 48.76/12.38 1 / 0A 2A \ 48.76/12.38 \ 0A 0A / 48.76/12.38 2 / 8A 10A \ 48.76/12.38 \ 8A 10A / 48.76/12.38 [2, 1, 1] |-> [2, 1, 0] 48.76/12.38 lhs rhs ge gt 48.76/12.38 / 10A 12A \ / 10A 12A \ True False 48.76/12.38 \ 10A 12A / \ 10A 12A / 48.76/12.38 [2, 1, 1] |-> [2] 48.76/12.38 lhs rhs ge gt 48.76/12.38 / 10A 12A \ / 8A 10A \ True True 48.76/12.38 \ 10A 12A / \ 8A 10A / 48.76/12.38 [0, 0] ->= [1, 1, 1] 48.76/12.38 lhs rhs ge gt 48.76/12.38 / 2A 4A \ / 2A 4A \ True False 48.76/12.38 \ 2A 4A / \ 2A 2A / 48.76/12.38 [0, 1, 0] ->= [1] 48.76/12.38 lhs rhs ge gt 48.76/12.38 / 2A 4A \ / 0A 2A \ True True 48.76/12.38 \ 2A 4A / \ 0A 0A / 48.76/12.38 [0, 1, 1] ->= [0, 1, 0] 48.76/12.38 lhs rhs ge gt 48.76/12.38 / 2A 4A \ / 2A 4A \ True False 48.76/12.38 \ 2A 4A / \ 2A 4A / 48.76/12.38 property Termination 48.76/12.38 has value True 48.76/12.39 for SRS ( [2, 1, 1] |-> [2, 1, 0], [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0]) 48.76/12.39 reason 48.76/12.39 EDG has 1 SCCs 48.76/12.39 property Termination 48.76/12.39 has value True 48.76/12.39 for SRS ( [2, 1, 1] |-> [2, 1, 0], [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0]) 48.76/12.39 reason 48.76/12.39 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 48.76/12.39 interpretation 48.76/12.39 0 Wk / 4A 4A 1A 0A \ 48.76/12.39 | 3A 3A 0A 3A | 48.76/12.39 | 1A 1A - - | 48.76/12.39 \ - - - 0A / 48.76/12.39 1 Wk / - - 0A 0A \ 48.76/12.39 | - - 1A - | 48.76/12.39 | 2A 2A - 1A | 48.76/12.39 \ - - - 0A / 48.76/12.39 2 Wk / - 0A - 0A \ 48.76/12.39 | - - - - | 48.76/12.39 | - - - - | 48.76/12.39 \ - - - 0A / 48.76/12.39 [2, 1, 1] |-> [2, 1, 0] 48.76/12.39 lhs rhs ge gt 48.76/12.39 Wk / 3A 3A - 2A \ Wk / 2A 2A - 0A \ True True 48.76/12.39 | - - - - | | - - - - | 48.76/12.39 | - - - - | | - - - - | 48.76/12.39 \ - - - 0A / \ - - - 0A / 48.76/12.39 [0, 0] ->= [1, 1, 1] 48.76/12.40 lhs rhs ge gt 48.76/12.40 Wk / 8A 8A 5A 7A \ Wk / - - 3A 2A \ True False 48.76/12.40 | 7A 7A 4A 6A | | - - 4A 3A | 48.76/12.40 | 5A 5A 2A 4A | | 5A 5A - 4A | 48.76/12.40 \ - - - 0A / \ - - - 0A / 48.76/12.40 [0, 1, 0] ->= [1] 48.76/12.40 lhs rhs ge gt 48.76/12.40 Wk / 7A 7A 4A 6A \ Wk / - - 0A 0A \ True False 48.76/12.40 | 6A 6A 3A 5A | | - - 1A - | 48.76/12.40 | 3A 3A - 1A | | 2A 2A - 1A | 48.76/12.40 \ - - - 0A / \ - - - 0A / 48.76/12.40 [0, 1, 1] ->= [0, 1, 0] 48.76/12.40 lhs rhs ge gt 48.76/12.40 Wk / 7A 7A 4A 6A \ Wk / 7A 7A 4A 6A \ True False 49.05/12.41 | 6A 6A 3A 5A | | 6A 6A 3A 5A | 49.05/12.41 | 4A 4A - 3A | | 3A 3A - 1A | 49.05/12.41 \ - - - 0A / \ - - - 0A / 49.05/12.41 property Termination 49.05/12.41 has value True 49.05/12.41 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 0] ->= [1], [0, 1, 1] ->= [0, 1, 0]) 49.05/12.41 reason 49.05/12.41 EDG has 0 SCCs 49.05/12.41 49.05/12.41 ************************************************** 49.05/12.41 summary 49.05/12.41 ************************************************** 49.05/12.41 SRS with 3 rules on 2 letters Remap { tracing = False} 49.05/12.41 SRS with 3 rules on 2 letters DP transform 49.05/12.41 SRS with 5 rules on 3 letters Remap { tracing = False} 49.05/12.41 SRS with 5 rules on 3 letters EDG 49.05/12.41 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 49.05/12.41 SRS with 4 rules on 3 letters EDG 49.05/12.41 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 49.05/12.41 SRS with 3 rules on 2 letters EDG 49.05/12.41 49.05/12.41 ************************************************** 49.05/12.41 (3, 2)\Deepee(5, 3)\Matrix{\Arctic}{2}(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 49.05/12.41 ************************************************** 49.05/12.45 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]} 49.05/12.45 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 49.78/12.66 EOF