216.66/54.70 YES 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [a, a, b, a, c, a, a, a] -> [a, a, a, a, a, b, a, c, a, a, b, a, c]) 216.66/54.71 reason 216.66/54.71 remap for 1 rules 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [0, 0, 1, 0, 2, 0, 0, 0] -> [0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2]) 216.66/54.71 reason 216.66/54.71 reverse each lhs and rhs 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [0, 0, 0, 2, 0, 1, 0, 0] -> [2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0]) 216.66/54.71 reason 216.66/54.71 DP transform 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [0, 0, 0, 2, 0, 1, 0, 0] ->= [2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 0, 2, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 2, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 0, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 0, 0, 0], [0#, 0, 0, 2, 0, 1, 0, 0] |-> [0#, 0, 0]) 216.66/54.71 reason 216.66/54.71 remap for 8 rules 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 1, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 1, 0, 2, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 2, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0]) 216.66/54.71 reason 216.66/54.71 EDG has 1 SCCs 216.66/54.71 property Termination 216.66/54.71 has value True 216.66/54.71 for SRS ( [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.71 reason 216.66/54.71 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.71 interpretation 216.66/54.71 0 Wk / - 0A 1A 0A \ 216.66/54.71 | 0A - - 1A | 216.66/54.71 | - 2A - - | 216.66/54.71 \ - - - 0A / 216.66/54.71 1 Wk / 0A - - 4A \ 216.66/54.71 | 1A 0A 0A - | 216.66/54.71 | - - - 0A | 216.66/54.71 \ - - - 0A / 216.66/54.71 2 Wk / - 0A 1A 4A \ 216.66/54.71 | - - - - | 216.66/54.71 | - - - - | 216.66/54.71 \ - - - 0A / 216.66/54.71 3 Wk / 0A - - 6A \ 216.66/54.71 | - - - - | 216.66/54.71 | - - - - | 216.66/54.71 \ - - - 0A / 216.66/54.71 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0] 216.66/54.71 lhs rhs ge gt 216.66/54.71 Wk / 6A 3A 4A 7A \ Wk / 0A 3A - 6A \ True False 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 \ - - - 0A / \ - - - 0A / 216.66/54.71 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0] 216.66/54.71 lhs rhs ge gt 216.66/54.71 Wk / 6A 3A 4A 7A \ Wk / 3A 0A 1A 6A \ True True 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 \ - - - 0A / \ - - - 0A / 216.66/54.71 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0] 216.66/54.71 lhs rhs ge gt 216.66/54.71 Wk / 6A 3A 4A 7A \ Wk / 0A 3A 4A 6A \ True False 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 | - - - - | | - - - - | 216.66/54.71 \ - - - 0A / \ - - - 0A / 216.66/54.71 [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / 3A 0A 1A 7A \ Wk / - - - 4A \ True False 216.66/54.72 | 6A 3A 4A 7A | | 6A 3A 4A 7A | 216.66/54.72 | 5A 2A 3A 6A | | - - - 0A | 216.66/54.72 \ - - - 0A / \ - - - 0A / 216.66/54.72 property Termination 216.66/54.72 has value True 216.66/54.72 for SRS ( [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.72 reason 216.66/54.72 EDG has 1 SCCs 216.66/54.72 property Termination 216.66/54.72 has value True 216.66/54.72 for SRS ( [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0], [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.72 reason 216.66/54.72 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.72 interpretation 216.66/54.72 0 Wk / - 0A - 0A \ 216.66/54.72 | - - 0A - | 216.66/54.72 | 2A - - 0A | 216.66/54.72 \ - - - 0A / 216.66/54.72 1 Wk / - 0A - 4A \ 216.66/54.72 | - - - 1A | 216.66/54.72 | 0A 0A 1A 5A | 216.66/54.72 \ - - - 0A / 216.66/54.72 2 Wk / - - 0A 2A \ 216.66/54.72 | 0A 1A 3A - | 216.66/54.72 | - - 0A - | 216.66/54.72 \ - - - 0A / 216.66/54.72 3 Wk / 2A - 0A 4A \ 216.66/54.72 | 0A - - 3A | 216.66/54.72 | - - - - | 216.66/54.72 \ - - - 0A / 216.66/54.72 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / 5A 7A 2A 7A \ Wk / - 2A 2A 4A \ True False 216.66/54.72 | 3A 5A 0A 5A | | - - 0A 3A | 216.66/54.72 | - - - - | | - - - - | 216.66/54.72 \ - - - 0A / \ - - - 0A / 216.66/54.72 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / 5A 7A 2A 7A \ Wk / 4A 4A - 4A \ True True 216.66/54.72 | 3A 5A 0A 5A | | - 2A - 3A | 216.66/54.72 | - - - - | | - - - - | 216.66/54.72 \ - - - 0A / \ - - - 0A / 216.66/54.72 [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / - 4A - 6A \ Wk / - - - 4A \ True False 216.66/54.72 | - - - 3A | | - - - 1A | 216.66/54.72 | 5A 7A 2A 7A | | 5A 7A 2A 7A | 216.66/54.72 \ - - - 0A / \ - - - 0A / 216.66/54.72 property Termination 216.66/54.72 has value True 216.66/54.72 for SRS ( [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.72 reason 216.66/54.72 EDG has 1 SCCs 216.66/54.72 property Termination 216.66/54.72 has value True 216.66/54.72 for SRS ( [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.72 reason 216.66/54.72 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.72 interpretation 216.66/54.72 0 Wk / 0 3 0 0 \ 216.66/54.72 | 0 0 1 0 | 216.66/54.72 | 1 0 0 0 | 216.66/54.72 \ 0 0 0 1 / 216.66/54.72 1 Wk / 0 1 0 0 \ 216.66/54.72 | 0 0 0 0 | 216.66/54.72 | 0 0 0 2 | 216.66/54.72 \ 0 0 0 1 / 216.66/54.72 2 Wk / 1 0 0 0 \ 216.66/54.72 | 1 1 0 0 | 216.66/54.72 | 0 1 0 1 | 216.66/54.72 \ 0 0 0 1 / 216.66/54.72 3 Wk / 0 3 0 3 \ 216.66/54.72 | 0 0 0 4 | 216.66/54.72 | 0 0 0 4 | 216.66/54.72 \ 0 0 0 1 / 216.66/54.72 [3, 0, 0, 1, 0, 2, 0, 0] |-> [3, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / 3 0 0 6 \ Wk / 3 0 0 3 \ True True 216.66/54.72 | 0 0 0 4 | | 0 0 0 4 | 216.66/54.72 | 0 0 0 4 | | 0 0 0 4 | 216.66/54.72 \ 0 0 0 1 / \ 0 0 0 1 / 216.66/54.72 [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0] 216.66/54.72 lhs rhs ge gt 216.66/54.72 Wk / 3 0 0 3 \ Wk / 3 0 0 2 \ True True 216.66/54.72 | 0 0 0 0 | | 0 0 0 0 | 216.66/54.72 | 0 0 0 6 | | 0 0 0 2 | 216.66/54.72 \ 0 0 0 1 / \ 0 0 0 1 / 216.66/54.72 property Termination 216.66/54.72 has value True 216.66/54.72 for SRS ( [0, 0, 0, 1, 0, 2, 0, 0] ->= [1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0]) 216.66/54.72 reason 216.66/54.72 EDG has 0 SCCs 216.66/54.72 216.66/54.72 ************************************************** 216.66/54.72 summary 216.66/54.72 ************************************************** 216.66/54.72 SRS with 1 rules on 3 letters Remap { tracing = False} 216.66/54.72 SRS with 1 rules on 3 letters reverse each lhs and rhs 216.66/54.72 SRS with 1 rules on 3 letters DP transform 216.66/54.72 SRS with 8 rules on 4 letters Remap { tracing = False} 216.66/54.72 SRS with 8 rules on 4 letters EDG 216.66/54.72 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.72 SRS with 3 rules on 4 letters EDG 216.66/54.72 SRS with 3 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.72 SRS with 2 rules on 4 letters EDG 216.66/54.72 SRS with 2 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 216.66/54.72 SRS with 1 rules on 3 letters EDG 216.66/54.72 216.66/54.72 ************************************************** 216.66/54.73 (1, 3)\Deepee(8, 4)\EDG(4, 4)\Matrix{\Arctic}{4}(3, 4)\Matrix{\Arctic}{4}(2, 4)\Matrix{\Natural}{4}(1, 3)\EDG[] 216.66/54.73 ************************************************** 216.66/54.74 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]} 216.66/54.74 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 217.16/55.00 EOF