251.37/63.43 YES 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [a, b, a, c, a, b, a, b, a, b] -> [a, b, a, b, a, b, a, b, a, c, a, b, a, c]) 251.37/63.43 reason 251.37/63.43 remap for 1 rules 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [0, 1, 0, 2, 0, 1, 0, 1, 0, 1] -> [0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2]) 251.37/63.43 reason 251.37/63.43 reverse each lhs and rhs 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [1, 0, 1, 0, 1, 0, 2, 0, 1, 0] -> [2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0]) 251.37/63.43 reason 251.37/63.43 DP transform 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [1, 0, 1, 0, 1, 0, 2, 0, 1, 0] ->= [2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1#, 0, 1, 0, 1, 0, 2, 0, 1, 0] |-> [1#, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1#, 0, 1, 0, 1, 0, 2, 0, 1, 0] |-> [1#, 0, 1, 0, 1, 0, 1, 0], [1#, 0, 1, 0, 1, 0, 2, 0, 1, 0] |-> [1#, 0, 1, 0, 1, 0], [1#, 0, 1, 0, 1, 0, 2, 0, 1, 0] |-> [1#, 0, 1, 0]) 251.37/63.43 reason 251.37/63.43 remap for 5 rules 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1]) 251.37/63.43 reason 251.37/63.43 EDG has 1 SCCs 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.37/63.43 reason 251.37/63.43 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 251.37/63.43 interpretation 251.37/63.43 0 / 0A 3A 3A \ 251.37/63.43 | 0A 0A 3A | 251.37/63.43 \ 0A 0A 0A / 251.37/63.43 1 / 0A 0A 0A \ 251.37/63.43 | -3A 0A 0A | 251.37/63.43 \ -3A -3A 0A / 251.37/63.43 2 / 0A 0A 0A \ 251.37/63.43 | -3A -3A -3A | 251.37/63.43 \ -3A -3A -3A / 251.37/63.43 3 / 19A 22A 22A \ 251.37/63.43 | 19A 22A 22A | 251.37/63.43 \ 19A 22A 22A / 251.37/63.43 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1] 251.37/63.43 lhs rhs ge gt 251.37/63.43 / 25A 28A 28A \ / 22A 22A 25A \ True True 251.37/63.43 | 25A 28A 28A | | 22A 22A 25A | 251.37/63.43 \ 25A 28A 28A / \ 22A 22A 25A / 251.37/63.43 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1] 251.37/63.43 lhs rhs ge gt 251.37/63.43 / 25A 28A 28A \ / 25A 25A 25A \ True False 251.37/63.43 | 25A 28A 28A | | 25A 25A 25A | 251.37/63.43 \ 25A 28A 28A / \ 25A 25A 25A / 251.37/63.43 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1] 251.37/63.43 lhs rhs ge gt 251.37/63.43 / 25A 28A 28A \ / 25A 28A 28A \ True False 251.37/63.43 | 25A 28A 28A | | 25A 28A 28A | 251.37/63.43 \ 25A 28A 28A / \ 25A 28A 28A / 251.37/63.43 [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1] 251.37/63.43 lhs rhs ge gt 251.37/63.43 / 6A 9A 9A \ / 6A 9A 9A \ True False 251.37/63.43 | 3A 6A 6A | | 3A 6A 6A | 251.37/63.43 \ 3A 6A 6A / \ 3A 6A 6A / 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.37/63.43 reason 251.37/63.43 EDG has 1 SCCs 251.37/63.43 property Termination 251.37/63.43 has value True 251.37/63.43 for SRS ( [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.37/63.43 reason 251.37/63.43 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 251.37/63.43 interpretation 251.37/63.43 0 Wk / - 0A 0A 0A \ 251.37/63.43 | - 5A - - | 251.37/63.43 | 0A - - - | 251.37/63.43 \ - - - 0A / 251.37/63.43 1 Wk / 0A - - - \ 251.37/63.43 | - - 0A - | 251.37/63.43 | - 0A - - | 251.37/63.43 \ - - - 0A / 251.37/63.43 2 Wk / 1A 0A - - \ 251.37/63.43 | - - - 0A | 251.37/63.43 | 0A - - - | 251.37/63.43 \ - - - 0A / 251.37/63.43 3 Wk / 0A - 1A 5A \ 251.37/63.43 | - - - - | 251.37/63.43 | - - - - | 251.37/63.43 \ - - - 0A / 251.37/63.43 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1] 251.37/63.43 lhs rhs ge gt 251.37/63.43 Wk / 6A 7A 7A 7A \ Wk / 6A - 5A 5A \ True False 251.37/63.43 | - - - - | | - - - - | 251.37/63.43 | - - - - | | - - - - | 251.37/63.43 \ - - - 0A / \ - - - 0A / 251.37/63.43 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1, 0, 1] 251.45/63.46 lhs rhs ge gt 251.45/63.46 Wk / 6A 7A 7A 7A \ Wk / 5A 6A 6A 6A \ True True 251.45/63.46 | - - - - | | - - - - | 251.45/63.46 | - - - - | | - - - - | 251.45/63.46 \ - - - 0A / \ - - - 0A / 251.45/63.46 [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1] 251.45/63.46 lhs rhs ge gt 251.45/63.46 Wk / 5A 6A 6A 6A \ Wk / 5A 6A 6A 6A \ True False 251.45/63.46 | - 5A 5A 5A | | - - - 0A | 251.45/63.46 | 0A 5A 5A 5A | | 0A 5A 5A 5A | 251.45/63.46 \ - - - 0A / \ - - - 0A / 251.45/63.46 property Termination 251.45/63.46 has value True 251.45/63.46 for SRS ( [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.45/63.46 reason 251.45/63.46 EDG has 1 SCCs 251.45/63.46 property Termination 251.45/63.46 has value True 251.45/63.46 for SRS ( [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.45/63.46 reason 251.45/63.46 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 251.45/63.46 interpretation 251.45/63.46 0 Wk / 1 0 0 1 \ 251.45/63.46 | 0 1 0 0 | 251.45/63.46 | 1 1 0 0 | 251.45/63.46 \ 0 0 0 1 / 251.45/63.46 1 Wk / 0 1 0 0 \ 251.45/63.46 | 0 0 1 0 | 251.45/63.46 | 1 0 0 0 | 251.45/63.46 \ 0 0 0 1 / 251.45/63.46 2 Wk / 0 0 0 0 \ 251.45/63.46 | 0 0 1 0 | 251.45/63.46 | 1 0 0 1 | 251.45/63.46 \ 0 0 0 1 / 251.45/63.46 3 Wk / 0 1 1 0 \ 251.45/63.46 | 0 0 0 0 | 251.45/63.46 | 0 0 0 0 | 251.45/63.46 \ 0 0 0 1 / 251.45/63.46 [3, 1, 0, 1, 0, 1, 2, 1, 0, 1] |-> [3, 1, 0, 1, 0, 1] 251.45/63.46 lhs rhs ge gt 251.45/63.46 Wk / 0 1 3 5 \ Wk / 0 1 3 1 \ True True 251.45/63.46 | 0 0 0 0 | | 0 0 0 0 | 251.45/63.46 | 0 0 0 0 | | 0 0 0 0 | 251.45/63.46 \ 0 0 0 1 / \ 0 0 0 1 / 251.45/63.46 [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1] 251.45/63.46 lhs rhs ge gt 251.45/63.46 Wk / 0 1 1 3 \ Wk / 0 0 0 0 \ True True 251.45/63.46 | 0 1 2 3 | | 0 1 2 2 | 251.45/63.46 | 0 2 3 5 | | 0 2 3 2 | 251.45/63.46 \ 0 0 0 1 / \ 0 0 0 1 / 251.45/63.46 property Termination 251.45/63.46 has value True 251.45/63.46 for SRS ( [0, 1, 0, 1, 0, 1, 2, 1, 0, 1] ->= [2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1]) 251.45/63.46 reason 251.45/63.46 EDG has 0 SCCs 251.45/63.46 251.45/63.46 ************************************************** 251.45/63.46 summary 251.45/63.46 ************************************************** 251.45/63.46 SRS with 1 rules on 3 letters Remap { tracing = False} 251.45/63.46 SRS with 1 rules on 3 letters reverse each lhs and rhs 251.45/63.46 SRS with 1 rules on 3 letters DP transform 251.45/63.46 SRS with 5 rules on 4 letters Remap { tracing = False} 251.45/63.46 SRS with 5 rules on 4 letters EDG 251.45/63.46 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 251.45/63.46 SRS with 3 rules on 4 letters EDG 251.45/63.46 SRS with 3 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 251.45/63.46 SRS with 2 rules on 4 letters EDG 251.45/63.47 SRS with 2 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 251.45/63.47 SRS with 1 rules on 3 letters EDG 251.45/63.47 251.45/63.47 ************************************************** 251.45/63.47 (1, 3)\Deepee(5, 4)\EDG(4, 4)\Matrix{\Arctic}{3}(3, 4)\Matrix{\Arctic}{4}(2, 4)\Matrix{\Natural}{4}(1, 3)\EDG[] 251.45/63.47 ************************************************** 251.45/63.48 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]} 251.45/63.48 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 251.99/63.71 EOF