26.44/6.77 YES 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [b, b] -> [a, a, a], [a, a, b] -> [b], [a, b, a] -> [a, b, b]) 26.44/6.77 reason 26.44/6.77 remap for 3 rules 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [0, 0] -> [1, 1, 1], [1, 1, 0] -> [0], [1, 0, 1] -> [1, 0, 0]) 26.44/6.77 reason 26.44/6.77 reverse each lhs and rhs 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [0, 0] -> [1, 1, 1], [0, 1, 1] -> [0], [1, 0, 1] -> [0, 0, 1]) 26.44/6.77 reason 26.44/6.77 DP transform 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1], [0#, 0] |-> [1#, 1, 1], [0#, 0] |-> [1#, 1], [0#, 0] |-> [1#], [0#, 1, 1] |-> [0#], [1#, 0, 1] |-> [0#, 0, 1]) 26.44/6.77 reason 26.44/6.77 remap for 8 rules 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1], [2, 0] |-> [3, 1, 1], [2, 0] |-> [3, 1], [2, 0] |-> [3], [2, 1, 1] |-> [2], [3, 0, 1] |-> [2, 0, 1]) 26.44/6.77 reason 26.44/6.77 EDG has 1 SCCs 26.44/6.77 property Termination 26.44/6.77 has value True 26.44/6.77 for SRS ( [2, 0] |-> [3, 1, 1], [3, 0, 1] |-> [2, 0, 1], [2, 1, 1] |-> [2], [2, 0] |-> [3], [2, 0] |-> [3, 1], [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1]) 26.44/6.77 reason 26.44/6.77 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 26.44/6.77 interpretation 26.44/6.77 0 / 0A 2A \ 26.44/6.77 \ 0A 0A / 26.44/6.77 1 / 0A 0A \ 26.44/6.77 \ 0A 0A / 26.44/6.77 2 / 16A 18A \ 26.44/6.77 \ 16A 18A / 26.44/6.77 3 / 18A 18A \ 26.44/6.77 \ 18A 18A / 26.44/6.77 [2, 0] |-> [3, 1, 1] 26.44/6.77 lhs rhs ge gt 26.44/6.77 / 18A 18A \ / 18A 18A \ True False 26.44/6.77 \ 18A 18A / \ 18A 18A / 26.44/6.77 [3, 0, 1] |-> [2, 0, 1] 26.44/6.77 lhs rhs ge gt 26.44/6.77 / 20A 20A \ / 18A 18A \ True True 26.44/6.77 \ 20A 20A / \ 18A 18A / 26.44/6.77 [2, 1, 1] |-> [2] 26.44/6.77 lhs rhs ge gt 26.44/6.77 / 18A 18A \ / 16A 18A \ True False 26.44/6.77 \ 18A 18A / \ 16A 18A / 26.44/6.77 [2, 0] |-> [3] 26.44/6.77 lhs rhs ge gt 26.44/6.77 / 18A 18A \ / 18A 18A \ True False 26.44/6.77 \ 18A 18A / \ 18A 18A / 26.44/6.77 [2, 0] |-> [3, 1] 26.72/6.78 lhs rhs ge gt 26.72/6.78 / 18A 18A \ / 18A 18A \ True False 26.72/6.78 \ 18A 18A / \ 18A 18A / 26.72/6.78 [0, 0] ->= [1, 1, 1] 26.72/6.78 lhs rhs ge gt 26.72/6.78 / 2A 2A \ / 0A 0A \ True False 26.72/6.78 \ 0A 2A / \ 0A 0A / 26.72/6.78 [0, 1, 1] ->= [0] 26.72/6.78 lhs rhs ge gt 26.72/6.78 / 2A 2A \ / 0A 2A \ True False 26.72/6.78 \ 0A 0A / \ 0A 0A / 26.72/6.78 [1, 0, 1] ->= [0, 0, 1] 26.72/6.78 lhs rhs ge gt 26.72/6.78 / 2A 2A \ / 2A 2A \ True False 26.72/6.78 \ 2A 2A / \ 2A 2A / 26.72/6.78 property Termination 26.72/6.78 has value True 26.72/6.78 for SRS ( [2, 0] |-> [3, 1, 1], [2, 1, 1] |-> [2], [2, 0] |-> [3], [2, 0] |-> [3, 1], [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1]) 26.72/6.78 reason 26.72/6.78 weights 26.72/6.78 Map [(2, 3/1)] 26.72/6.78 26.72/6.78 property Termination 26.72/6.78 has value True 26.72/6.78 for SRS ( [2, 1, 1] |-> [2], [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1]) 26.72/6.78 reason 26.72/6.78 EDG has 1 SCCs 26.72/6.78 property Termination 26.72/6.78 has value True 26.72/6.78 for SRS ( [2, 1, 1] |-> [2], [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1]) 26.72/6.78 reason 26.72/6.78 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 26.72/6.78 interpretation 26.72/6.78 0 Wk / - 3A 7A 7A \ 26.72/6.78 | 0A 0A 3A - | 26.72/6.78 | 0A - 0A 0A | 26.72/6.78 \ - - - 0A / 26.72/6.78 1 Wk / 0A - 0A 0A \ 26.72/6.78 | 0A 1A 2A 1A | 26.72/6.78 | 0A - 0A - | 26.72/6.78 \ - - - 0A / 26.72/6.78 2 Wk / - 5A - 0A \ 26.72/6.78 | - - - - | 26.72/6.78 | - - - - | 26.72/6.78 \ - - - 0A / 26.72/6.78 [2, 1, 1] |-> [2] 26.72/6.80 lhs rhs ge gt 26.72/6.80 Wk / 7A 7A 8A 7A \ Wk / - 5A - 0A \ True True 26.72/6.80 | - - - - | | - - - - | 26.72/6.80 | - - - - | | - - - - | 26.72/6.80 \ - - - 0A / \ - - - 0A / 26.72/6.80 [0, 0] ->= [1, 1, 1] 26.72/6.80 lhs rhs ge gt 26.72/6.80 Wk / 7A 3A 7A 7A \ Wk / 0A - 0A 0A \ True False 26.72/6.80 | 3A 3A 7A 7A | | 3A 3A 4A 3A | 26.72/6.80 | 0A 3A 7A 7A | | 0A - 0A 0A | 26.72/6.80 \ - - - 0A / \ - - - 0A / 26.72/6.80 [0, 1, 1] ->= [0] 26.72/6.80 lhs rhs ge gt 26.72/6.80 Wk / 7A 5A 7A 7A \ Wk / - 3A 7A 7A \ True False 26.72/6.80 | 3A 2A 3A 3A | | 0A 0A 3A - | 26.72/6.80 | 0A - 0A 0A | | 0A - 0A 0A | 26.72/6.80 \ - - - 0A / \ - - - 0A / 26.72/6.80 [1, 0, 1] ->= [0, 0, 1] 26.72/6.82 lhs rhs ge gt 26.72/6.82 Wk / 7A 4A 7A 7A \ Wk / 7A 4A 7A 7A \ True False 26.72/6.82 | 7A 4A 7A 7A | | 7A 4A 7A 7A | 26.72/6.82 | 7A 4A 7A 7A | | 7A 4A 7A 7A | 26.72/6.82 \ - - - 0A / \ - - - 0A / 26.72/6.82 property Termination 26.72/6.82 has value True 26.72/6.82 for SRS ( [0, 0] ->= [1, 1, 1], [0, 1, 1] ->= [0], [1, 0, 1] ->= [0, 0, 1]) 26.72/6.82 reason 26.72/6.82 EDG has 0 SCCs 26.72/6.82 26.72/6.82 ************************************************** 26.72/6.82 summary 26.72/6.82 ************************************************** 26.72/6.82 SRS with 3 rules on 2 letters Remap { tracing = False} 26.72/6.82 SRS with 3 rules on 2 letters reverse each lhs and rhs 26.72/6.82 SRS with 3 rules on 2 letters DP transform 26.72/6.82 SRS with 8 rules on 4 letters Remap { tracing = False} 26.72/6.82 SRS with 8 rules on 4 letters EDG 26.72/6.82 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 26.72/6.82 SRS with 7 rules on 4 letters weights 26.72/6.82 SRS with 4 rules on 3 letters EDG 26.72/6.82 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 26.72/6.82 SRS with 3 rules on 2 letters EDG 26.72/6.82 26.72/6.82 ************************************************** 26.72/6.82 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(7, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 26.72/6.82 ************************************************** 27.40/6.96 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]} 27.40/6.96 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 27.60/7.05 EOF