349.22/88.36 YES 349.22/88.36 property Termination 349.22/88.36 has value True 349.22/88.36 for SRS ( [a, b, b, a] -> [b, b, a, a], [b, b, b, a] -> [a, a, a, a], [a, b, a, a] -> [b, a, b, b]) 349.22/88.36 reason 349.22/88.36 remap for 3 rules 349.22/88.36 property Termination 349.22/88.36 has value True 349.22/88.36 for SRS ( [0, 1, 1, 0] -> [1, 1, 0, 0], [1, 1, 1, 0] -> [0, 0, 0, 0], [0, 1, 0, 0] -> [1, 0, 1, 1]) 349.22/88.36 reason 349.22/88.36 reverse each lhs and rhs 349.22/88.36 property Termination 349.22/88.36 has value True 349.22/88.36 for SRS ( [0, 1, 1, 0] -> [0, 0, 1, 1], [0, 1, 1, 1] -> [0, 0, 0, 0], [0, 0, 1, 0] -> [1, 1, 0, 1]) 349.22/88.36 reason 349.22/88.36 DP transform 349.22/88.36 property Termination 349.22/88.36 has value True 349.22/88.36 for SRS ( [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1], [0#, 1, 1, 0] |-> [0#, 0, 1, 1], [0#, 1, 1, 0] |-> [0#, 1, 1], [0#, 1, 1, 1] |-> [0#, 0, 0, 0], [0#, 1, 1, 1] |-> [0#, 0, 0], [0#, 1, 1, 1] |-> [0#, 0], [0#, 1, 1, 1] |-> [0#], [0#, 0, 1, 0] |-> [0#, 1]) 349.22/88.36 reason 349.22/88.36 remap for 10 rules 349.22/88.36 property Termination 349.22/88.36 has value True 349.22/88.36 for SRS ( [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 1], [2, 1, 1, 1] |-> [2, 0, 0, 0], [2, 1, 1, 1] |-> [2, 0, 0], [2, 1, 1, 1] |-> [2, 0], [2, 1, 1, 1] |-> [2], [2, 0, 1, 0] |-> [2, 1]) 349.22/88.36 reason 349.22/88.36 weights 349.22/88.36 Map [(0, 1/9), (1, 1/9)] 349.22/88.36 349.22/88.36 property Termination 349.22/88.36 has value True 349.49/88.39 for SRS ( [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1], [2, 1, 1, 0] |-> [2, 0, 1, 1], [2, 1, 1, 1] |-> [2, 0, 0, 0]) 349.49/88.39 reason 349.49/88.39 EDG has 1 SCCs 349.49/88.39 property Termination 349.49/88.39 has value True 349.49/88.39 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 1], [2, 1, 1, 1] |-> [2, 0, 0, 0], [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1]) 349.49/88.39 reason 349.49/88.39 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 349.49/88.39 interpretation 349.49/88.39 0 Wk / 1A - 0A 1A \ 349.49/88.39 | - 0A - 1A | 349.49/88.39 | 2A 1A 1A 2A | 349.49/88.39 \ - - - 0A / 349.49/88.39 1 Wk / 1A 0A 0A 1A \ 349.49/88.39 | 0A - 1A - | 349.49/88.39 | - - - 1A | 349.49/88.39 \ - - - 0A / 349.49/88.39 2 Wk / - 2A - 0A \ 349.49/88.39 | - 1A - 0A | 349.49/88.39 | - - - - | 349.49/88.39 \ - - - 0A / 349.49/88.39 [2, 1, 1, 0] |-> [2, 0, 1, 1] 349.49/88.42 lhs rhs ge gt 349.49/88.42 Wk / 4A 3A 3A 4A \ Wk / 3A 2A 2A 4A \ True False 349.49/88.42 | 3A 2A 2A 3A | | 2A 1A 1A 3A | 349.49/88.42 | - - - - | | - - - - | 349.49/88.42 \ - - - 0A / \ - - - 0A / 349.49/88.42 [2, 1, 1, 1] |-> [2, 0, 0, 0] 349.49/88.42 lhs rhs ge gt 349.49/88.42 Wk / 4A 3A 3A 4A \ Wk / - 2A - 3A \ True True 349.49/88.42 | 3A 2A 2A 3A | | - 1A - 2A | 349.49/88.42 | - - - - | | - - - - | 349.49/88.42 \ - - - 0A / \ - - - 0A / 349.49/88.42 [0, 1, 1, 0] ->= [0, 0, 1, 1] 349.49/88.42 lhs rhs ge gt 349.49/88.42 Wk / 4A 3A 3A 4A \ Wk / 4A 3A 3A 4A \ True False 349.49/88.42 | 2A 1A 1A 2A | | 1A 0A 0A 2A | 349.49/88.42 | 5A 4A 4A 5A | | 5A 4A 4A 5A | 349.49/88.42 \ - - - 0A / \ - - - 0A / 349.49/88.42 [0, 1, 1, 1] ->= [0, 0, 0, 0] 349.49/88.44 lhs rhs ge gt 349.49/88.44 Wk / 4A 3A 3A 4A \ Wk / 4A 3A 3A 4A \ True False 349.49/88.44 | 2A 1A 1A 2A | | - 0A - 1A | 349.49/88.44 | 5A 4A 4A 5A | | 5A 4A 4A 5A | 349.49/88.44 \ - - - 0A / \ - - - 0A / 349.49/88.44 [0, 0, 1, 0] ->= [1, 1, 0, 1] 349.49/88.44 lhs rhs ge gt 349.49/88.44 Wk / 4A 3A 3A 4A \ Wk / 4A 3A 3A 4A \ True False 349.49/88.44 | 3A 2A 2A 3A | | 3A 2A 2A 3A | 349.49/88.44 | 5A 4A 4A 5A | | - - - 1A | 349.49/88.44 \ - - - 0A / \ - - - 0A / 349.49/88.44 property Termination 349.49/88.44 has value True 349.49/88.44 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 1], [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1]) 349.49/88.44 reason 349.49/88.44 EDG has 1 SCCs 349.49/88.44 property Termination 349.49/88.44 has value True 349.49/88.44 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 1], [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1]) 349.49/88.44 reason 349.49/88.44 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 349.49/88.44 interpretation 349.49/88.46 0 Wk / - 1A - 2A \ 349.49/88.46 | - - - 0A | 349.49/88.46 | 3A 4A - 5A | 349.49/88.46 \ - - - 0A / 349.49/88.46 1 Wk / - - - 0A \ 349.49/88.46 | 0A - - 0A | 349.49/88.46 | - - - 6A | 349.49/88.46 \ - - - 0A / 349.49/88.46 2 Wk / 3A 3A 0A - \ 349.49/88.46 | - - - - | 349.49/88.46 | - - - - | 349.49/88.46 \ - - - 0A / 349.49/88.46 [2, 1, 1, 0] |-> [2, 0, 1, 1] 349.49/88.46 lhs rhs ge gt 349.49/88.46 Wk / - - - 6A \ Wk / - - - 5A \ True True 349.49/88.46 | - - - - | | - - - - | 349.49/88.46 | - - - - | | - - - - | 349.49/88.46 \ - - - 0A / \ - - - 0A / 349.49/88.46 [0, 1, 1, 0] ->= [0, 0, 1, 1] 349.49/88.46 lhs rhs ge gt 349.49/88.46 Wk / - - - 2A \ Wk / - - - 2A \ True False 349.49/88.46 | - - - 0A | | - - - 0A | 349.49/88.46 | - - - 5A | | - - - 5A | 349.49/88.46 \ - - - 0A / \ - - - 0A / 349.84/88.48 [0, 1, 1, 1] ->= [0, 0, 0, 0] 349.84/88.48 lhs rhs ge gt 349.84/88.48 Wk / - - - 2A \ Wk / - - - 2A \ True False 349.84/88.48 | - - - 0A | | - - - 0A | 349.84/88.48 | - - - 5A | | - - - 5A | 349.84/88.48 \ - - - 0A / \ - - - 0A / 349.84/88.48 [0, 0, 1, 0] ->= [1, 1, 0, 1] 349.84/88.48 lhs rhs ge gt 349.84/88.48 Wk / - - - 2A \ Wk / - - - 0A \ True False 349.84/88.48 | - - - 0A | | - - - 0A | 349.84/88.48 | - 5A - 6A | | - - - 6A | 349.84/88.48 \ - - - 0A / \ - - - 0A / 349.84/88.48 property Termination 349.84/88.48 has value True 349.84/88.48 for SRS ( [0, 1, 1, 0] ->= [0, 0, 1, 1], [0, 1, 1, 1] ->= [0, 0, 0, 0], [0, 0, 1, 0] ->= [1, 1, 0, 1]) 349.84/88.48 reason 349.84/88.48 EDG has 0 SCCs 349.84/88.48 349.84/88.48 ************************************************** 349.84/88.48 summary 349.84/88.48 ************************************************** 349.84/88.48 SRS with 3 rules on 2 letters Remap { tracing = False} 349.84/88.48 SRS with 3 rules on 2 letters reverse each lhs and rhs 349.84/88.48 SRS with 3 rules on 2 letters DP transform 349.84/88.48 SRS with 10 rules on 3 letters Remap { tracing = False} 349.84/88.48 SRS with 10 rules on 3 letters weights 349.84/88.50 SRS with 5 rules on 3 letters EDG 349.84/88.50 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 349.84/88.50 SRS with 4 rules on 3 letters EDG 349.84/88.50 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 349.84/88.50 SRS with 3 rules on 2 letters EDG 349.84/88.50 349.84/88.50 ************************************************** 349.84/88.50 (3, 2)\Deepee(10, 3)\Weight(5, 3)\Matrix{\Arctic}{4}(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 349.84/88.50 ************************************************** 350.68/88.71 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]} 350.68/88.71 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 352.47/89.17 EOF