69.11/17.45 YES 69.11/17.46 property Termination 69.11/17.50 has value True 69.31/17.51 for SRS ( [a, a] -> [a, b, a, c, c], [c, a] -> [], [c, b] -> [a]) 69.31/17.51 reason 69.31/17.51 remap for 3 rules 69.31/17.52 property Termination 69.31/17.52 has value True 69.49/17.61 for SRS ( [0, 0] -> [0, 1, 0, 2, 2], [2, 0] -> [], [2, 1] -> [0]) 69.49/17.61 reason 69.49/17.61 reverse each lhs and rhs 69.49/17.61 property Termination 69.49/17.61 has value True 69.49/17.61 for SRS ( [0, 0] -> [2, 2, 0, 1, 0], [0, 2] -> [], [1, 2] -> [0]) 69.49/17.61 reason 69.49/17.61 DP transform 69.49/17.61 property Termination 69.49/17.61 has value True 69.49/17.61 for SRS ( [0, 0] ->= [2, 2, 0, 1, 0], [0, 2] ->= [], [1, 2] ->= [0], [0#, 0] |-> [0#, 1, 0], [0#, 0] |-> [1#, 0], [1#, 2] |-> [0#]) 69.49/17.61 reason 69.49/17.61 remap for 6 rules 69.49/17.61 property Termination 69.49/17.61 has value True 69.49/17.61 for SRS ( [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0], [3, 0] |-> [3, 2, 0], [3, 0] |-> [4, 0], [4, 1] |-> [3]) 69.49/17.61 reason 69.49/17.61 EDG has 1 SCCs 69.49/17.61 property Termination 69.49/17.61 has value True 69.49/17.61 for SRS ( [3, 0] |-> [3, 2, 0], [3, 0] |-> [4, 0], [4, 1] |-> [3], [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0]) 69.49/17.61 reason 69.49/17.61 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 69.49/17.61 interpretation 69.49/17.61 0 Wk / 3A 1A 0A - \ 69.49/17.61 | 3A 3A 0A 3A | 69.49/17.61 | - 0A - 0A | 69.49/17.61 \ - - - 0A / 69.49/17.61 1 Wk / - - - 2A \ 69.49/17.61 | - - 0A - | 69.49/17.61 | 0A 0A - - | 69.49/17.61 \ - - - 0A / 69.49/17.61 2 Wk / 0A 0A 3A - \ 69.49/17.61 | - 0A 3A 3A | 69.49/17.61 | 0A - 1A - | 69.49/17.61 \ - - - 0A / 69.49/17.61 3 Wk / 0A 0A - - \ 69.49/17.61 | - - - - | 69.49/17.61 | - - - - | 69.49/17.61 \ - - - 0A / 69.49/17.61 4 Wk / 0A 0A 1A 3A \ 69.49/17.61 | - - - - | 69.49/17.61 | - - - - | 69.49/17.61 \ - - - 0A / 69.49/17.61 [3, 0] |-> [3, 2, 0] 69.49/17.61 lhs rhs ge gt 69.49/17.61 Wk / 3A 3A 0A 3A \ Wk / 3A 3A 0A 3A \ True False 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 \ - - - 0A / \ - - - 0A / 69.49/17.61 [3, 0] |-> [4, 0] 69.49/17.61 lhs rhs ge gt 69.49/17.61 Wk / 3A 3A 0A 3A \ Wk / 3A 3A 0A 3A \ True False 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 \ - - - 0A / \ - - - 0A / 69.49/17.61 [4, 1] |-> [3] 69.49/17.61 lhs rhs ge gt 69.49/17.61 Wk / 1A 1A 0A 3A \ Wk / 0A 0A - - \ True True 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 | - - - - | | - - - - | 69.49/17.61 \ - - - 0A / \ - - - 0A / 69.49/17.61 [0, 0] ->= [1, 1, 0, 2, 0] 69.49/17.61 lhs rhs ge gt 69.49/17.61 Wk / 6A 4A 3A 4A \ Wk / - - - 2A \ True False 69.49/17.61 | 6A 6A 3A 6A | | 6A 6A 3A 6A | 69.49/17.61 | 3A 3A 0A 3A | | 3A 3A 0A 3A | 69.49/17.61 \ - - - 0A / \ - - - 0A / 69.49/17.61 [0, 1] ->= [] 69.49/17.61 lhs rhs ge gt 69.49/17.61 Wk / 0A 0A 1A 5A \ Wk / 0A - - - \ True False 69.49/17.61 | 0A 0A 3A 5A | | - 0A - - | 69.49/17.61 | - - 0A 0A | | - - 0A - | 69.49/17.63 \ - - - 0A / \ - - - 0A / 69.49/17.63 [2, 1] ->= [0] 69.49/17.63 lhs rhs ge gt 69.49/17.63 Wk / 3A 3A 0A 2A \ Wk / 3A 1A 0A - \ True False 69.49/17.63 | 3A 3A 0A 3A | | 3A 3A 0A 3A | 69.49/17.63 | 1A 1A - 2A | | - 0A - 0A | 69.49/17.63 \ - - - 0A / \ - - - 0A / 69.49/17.63 property Termination 69.49/17.63 has value True 69.49/17.63 for SRS ( [3, 0] |-> [3, 2, 0], [3, 0] |-> [4, 0], [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0]) 69.49/17.63 reason 69.49/17.63 weights 69.49/17.63 Map [(3, 1/1)] 69.49/17.63 69.49/17.63 property Termination 69.49/17.63 has value True 69.49/17.63 for SRS ( [3, 0] |-> [3, 2, 0], [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0]) 69.49/17.63 reason 69.49/17.63 EDG has 1 SCCs 69.49/17.63 property Termination 69.49/17.63 has value True 69.49/17.63 for SRS ( [3, 0] |-> [3, 2, 0], [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0]) 69.49/17.63 reason 69.49/17.63 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 69.49/17.63 interpretation 69.49/17.63 0 Wk / - - 0A 0A \ 69.49/17.63 | 0A 1A 4A 4A | 69.49/17.63 | - 0A 2A 2A | 69.49/17.63 \ - - - 0A / 69.49/17.63 1 Wk / - 0A 2A 2A \ 69.49/17.63 | - - 0A - | 69.49/17.63 | 0A - - 0A | 69.49/17.63 \ - - - 0A / 69.88/17.69 2 Wk / 0A - 0A - \ 69.88/17.69 | 2A - 0A - | 69.88/17.69 | 0A - - - | 69.88/17.69 \ - - - 0A / 69.88/17.69 3 Wk / 1A 2A - - \ 69.88/17.69 | - - - - | 69.88/17.69 | - - - - | 69.88/17.69 \ - - - 0A / 69.88/17.69 [3, 0] |-> [3, 2, 0] 69.88/17.69 lhs rhs ge gt 69.88/17.69 Wk / 2A 3A 6A 6A \ Wk / - 2A 4A 4A \ True True 69.88/17.69 | - - - - | | - - - - | 69.88/17.69 | - - - - | | - - - - | 69.88/17.69 \ - - - 0A / \ - - - 0A / 69.88/17.69 [0, 0] ->= [1, 1, 0, 2, 0] 69.88/17.69 lhs rhs ge gt 69.88/17.69 Wk / - 0A 2A 2A \ Wk / - 0A 2A 2A \ True False 69.88/17.69 | 1A 4A 6A 6A | | - - 0A 0A | 69.88/17.69 | 0A 2A 4A 4A | | - 2A 4A 4A | 69.88/17.69 \ - - - 0A / \ - - - 0A / 69.88/17.69 [0, 1] ->= [] 70.07/17.71 lhs rhs ge gt 70.07/17.71 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 70.07/17.71 | 4A 0A 2A 4A | | - 0A - - | 70.07/17.71 | 2A - 0A 2A | | - - 0A - | 70.07/17.71 \ - - - 0A / \ - - - 0A / 70.07/17.71 [2, 1] ->= [0] 70.07/17.71 lhs rhs ge gt 70.07/17.71 Wk / 0A 0A 2A 2A \ Wk / - - 0A 0A \ True False 70.07/17.71 | 0A 2A 4A 4A | | 0A 1A 4A 4A | 70.07/17.71 | - 0A 2A 2A | | - 0A 2A 2A | 70.07/17.71 \ - - - 0A / \ - - - 0A / 70.07/17.71 property Termination 70.07/17.71 has value True 70.07/17.71 for SRS ( [0, 0] ->= [1, 1, 0, 2, 0], [0, 1] ->= [], [2, 1] ->= [0]) 70.07/17.71 reason 70.07/17.71 EDG has 0 SCCs 70.07/17.71 70.07/17.71 ************************************************** 70.07/17.71 summary 70.07/17.71 ************************************************** 70.07/17.71 SRS with 3 rules on 3 letters Remap { tracing = False} 70.07/17.71 SRS with 3 rules on 3 letters reverse each lhs and rhs 70.07/17.71 SRS with 3 rules on 3 letters DP transform 70.07/17.71 SRS with 6 rules on 5 letters Remap { tracing = False} 70.07/17.71 SRS with 6 rules on 5 letters EDG 70.07/17.71 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.07/17.71 SRS with 5 rules on 5 letters weights 70.07/17.71 SRS with 4 rules on 4 letters EDG 70.07/17.73 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 70.07/17.73 SRS with 3 rules on 3 letters EDG 70.07/17.73 70.07/17.73 ************************************************** 70.07/17.73 (3, 3)\Deepee(6, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 70.07/17.73 ************************************************** 70.53/17.81 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]} 70.53/17.81 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 70.72/17.93 EOF