6.99/1.84 YES 6.99/1.85 property Termination 6.99/1.85 has value True 6.99/1.85 for SRS ( [a] -> [], [a, a] -> [a, b, c, b, a], [b, c] -> [c, a]) 6.99/1.85 reason 6.99/1.85 remap for 3 rules 6.99/1.85 property Termination 6.99/1.85 has value True 6.99/1.85 for SRS ( [0] -> [], [0, 0] -> [0, 1, 2, 1, 0], [1, 2] -> [2, 0]) 6.99/1.85 reason 6.99/1.85 reverse each lhs and rhs 6.99/1.85 property Termination 6.99/1.85 has value True 6.99/1.85 for SRS ( [0] -> [], [0, 0] -> [0, 1, 2, 1, 0], [2, 1] -> [0, 2]) 6.99/1.85 reason 6.99/1.85 DP transform 6.99/1.85 property Termination 6.99/1.85 has value True 6.99/1.85 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2], [0#, 0] |-> [0#, 1, 2, 1, 0], [0#, 0] |-> [2#, 1, 0], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 6.99/1.85 reason 6.99/1.85 remap for 7 rules 6.99/1.86 property Termination 6.99/1.86 has value True 6.99/1.86 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 2, 1, 0], [3, 0] |-> [4, 1, 0], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 6.99/1.86 reason 6.99/1.86 EDG has 1 SCCs 6.99/1.86 property Termination 6.99/1.86 has value True 6.99/1.86 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4, 1, 0], [4, 1] |-> [4], [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2]) 6.99/1.86 reason 6.99/1.86 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 6.99/1.86 interpretation 6.99/1.86 0 / 0A 3A 3A \ 6.99/1.86 | 0A 3A 3A | 6.99/1.86 \ -3A 0A 0A / 6.99/1.86 1 / 0A 0A 3A \ 6.99/1.86 | 0A 0A 3A | 6.99/1.86 \ 0A 0A 3A / 6.99/1.86 2 / 0A 0A 0A \ 6.99/1.86 | -3A -3A 0A | 6.99/1.86 \ -3A -3A -3A / 6.99/1.86 3 / 40A 41A 41A \ 6.99/1.86 | 40A 41A 41A | 6.99/1.86 \ 40A 41A 41A / 6.99/1.86 4 / 40A 40A 40A \ 6.99/1.86 | 40A 40A 40A | 6.99/1.86 \ 40A 40A 40A / 6.99/1.86 [4, 1] |-> [3, 2] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 40A 40A 43A \ / 40A 40A 41A \ True False 6.99/1.86 | 40A 40A 43A | | 40A 40A 41A | 6.99/1.86 \ 40A 40A 43A / \ 40A 40A 41A / 6.99/1.86 [3, 0] |-> [4, 1, 0] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 41A 44A 44A \ / 40A 43A 43A \ True True 6.99/1.86 | 41A 44A 44A | | 40A 43A 43A | 6.99/1.86 \ 41A 44A 44A / \ 40A 43A 43A / 6.99/1.86 [4, 1] |-> [4] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 40A 40A 43A \ / 40A 40A 40A \ True False 6.99/1.86 | 40A 40A 43A | | 40A 40A 40A | 6.99/1.86 \ 40A 40A 43A / \ 40A 40A 40A / 6.99/1.86 [0] ->= [] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 0A 3A 3A \ / 0A - - \ True False 6.99/1.86 | 0A 3A 3A | | - 0A - | 6.99/1.86 \ -3A 0A 0A / \ - - 0A / 6.99/1.86 [0, 0] ->= [0, 1, 2, 1, 0] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 3A 6A 6A \ / 3A 6A 6A \ True False 6.99/1.86 | 3A 6A 6A | | 3A 6A 6A | 6.99/1.86 \ 0A 3A 3A / \ 0A 3A 3A / 6.99/1.86 [2, 1] ->= [0, 2] 6.99/1.86 lhs rhs ge gt 6.99/1.86 / 0A 0A 3A \ / 0A 0A 3A \ True False 6.99/1.86 | 0A 0A 3A | | 0A 0A 3A | 6.99/1.86 \ -3A -3A 0A / \ -3A -3A 0A / 6.99/1.86 property Termination 6.99/1.86 has value True 6.99/1.87 for SRS ( [4, 1] |-> [3, 2], [4, 1] |-> [4], [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2]) 6.99/1.87 reason 6.99/1.87 weights 6.99/1.87 Map [(4, 1/1)] 6.99/1.87 6.99/1.87 property Termination 6.99/1.87 has value True 6.99/1.87 for SRS ( [4, 1] |-> [4], [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2]) 6.99/1.87 reason 6.99/1.87 EDG has 1 SCCs 6.99/1.87 property Termination 6.99/1.87 has value True 6.99/1.87 for SRS ( [4, 1] |-> [4], [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2]) 6.99/1.87 reason 6.99/1.88 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 6.99/1.88 interpretation 6.99/1.88 0 / 0A 3A 3A \ 6.99/1.88 | 0A 3A 3A | 6.99/1.88 \ -3A 0A 0A / 6.99/1.88 1 / 0A 0A 3A \ 6.99/1.88 | 0A 0A 3A | 6.99/1.88 \ 0A 0A 3A / 6.99/1.88 2 / 0A 0A 0A \ 6.99/1.88 | -3A -3A 0A | 6.99/1.88 \ -3A -3A -3A / 6.99/1.88 4 / 4A 4A 6A \ 6.99/1.88 | 4A 4A 6A | 6.99/1.88 \ 4A 4A 6A / 6.99/1.88 [4, 1] |-> [4] 6.99/1.88 lhs rhs ge gt 6.99/1.88 / 6A 6A 9A \ / 4A 4A 6A \ True True 6.99/1.88 | 6A 6A 9A | | 4A 4A 6A | 6.99/1.88 \ 6A 6A 9A / \ 4A 4A 6A / 6.99/1.88 [0] ->= [] 6.99/1.88 lhs rhs ge gt 6.99/1.88 / 0A 3A 3A \ / 0A - - \ True False 6.99/1.88 | 0A 3A 3A | | - 0A - | 6.99/1.88 \ -3A 0A 0A / \ - - 0A / 6.99/1.88 [0, 0] ->= [0, 1, 2, 1, 0] 6.99/1.88 lhs rhs ge gt 6.99/1.88 / 3A 6A 6A \ / 3A 6A 6A \ True False 6.99/1.88 | 3A 6A 6A | | 3A 6A 6A | 6.99/1.88 \ 0A 3A 3A / \ 0A 3A 3A / 6.99/1.88 [2, 1] ->= [0, 2] 6.99/1.88 lhs rhs ge gt 6.99/1.88 / 0A 0A 3A \ / 0A 0A 3A \ True False 6.99/1.88 | 0A 0A 3A | | 0A 0A 3A | 6.99/1.88 \ -3A -3A 0A / \ -3A -3A 0A / 6.99/1.88 property Termination 6.99/1.88 has value True 7.38/1.88 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 1, 0], [2, 1] ->= [0, 2]) 7.38/1.88 reason 7.38/1.88 EDG has 0 SCCs 7.38/1.88 7.38/1.88 ************************************************** 7.38/1.88 summary 7.38/1.88 ************************************************** 7.38/1.88 SRS with 3 rules on 3 letters Remap { tracing = False} 7.38/1.88 SRS with 3 rules on 3 letters reverse each lhs and rhs 7.38/1.88 SRS with 3 rules on 3 letters DP transform 7.38/1.88 SRS with 7 rules on 5 letters Remap { tracing = False} 7.38/1.88 SRS with 7 rules on 5 letters EDG 7.38/1.88 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.38/1.88 SRS with 5 rules on 5 letters weights 7.38/1.88 SRS with 4 rules on 4 letters EDG 7.38/1.88 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.38/1.88 SRS with 3 rules on 3 letters EDG 7.38/1.88 7.38/1.88 ************************************************** 7.51/1.91 (3, 3)\Deepee(7, 5)\EDG(6, 5)\Matrix{\Arctic}{3}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{3}(3, 3)\EDG[] 7.51/1.91 ************************************************** 7.86/2.02 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]} 7.86/2.02 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 7.86/2.05 EOF