6.98/1.80 YES 7.16/1.82 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [a] -> [], [a, a, b] -> [b, c, a, a, a], [c, a] -> [b]) 7.24/1.84 reason 7.24/1.84 remap for 3 rules 7.24/1.84 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [0] -> [], [0, 0, 1] -> [1, 2, 0, 0, 0], [2, 0] -> [1]) 7.24/1.84 reason 7.24/1.84 reverse each lhs and rhs 7.24/1.84 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [0] -> [], [1, 0, 0] -> [0, 0, 0, 2, 1], [0, 2] -> [1]) 7.24/1.84 reason 7.24/1.84 DP transform 7.24/1.84 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1], [1#, 0, 0] |-> [0#, 0, 0, 2, 1], [1#, 0, 0] |-> [0#, 0, 2, 1], [1#, 0, 0] |-> [0#, 2, 1], [1#, 0, 0] |-> [1#], [0#, 2] |-> [1#]) 7.24/1.84 reason 7.24/1.84 remap for 8 rules 7.24/1.84 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1], [3, 0, 0] |-> [4, 0, 0, 2, 1], [3, 0, 0] |-> [4, 0, 2, 1], [3, 0, 0] |-> [4, 2, 1], [3, 0, 0] |-> [3], [4, 2] |-> [3]) 7.24/1.84 reason 7.24/1.84 EDG has 1 SCCs 7.24/1.84 property Termination 7.24/1.84 has value True 7.24/1.84 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2, 1], [4, 2] |-> [3], [3, 0, 0] |-> [3], [3, 0, 0] |-> [4, 2, 1], [3, 0, 0] |-> [4, 0, 2, 1], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1]) 7.24/1.84 reason 7.24/1.84 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 7.24/1.84 interpretation 7.24/1.84 0 / 0A 2A \ 7.24/1.84 \ 0A 0A / 7.24/1.84 1 / 0A 0A \ 7.24/1.84 \ 0A 0A / 7.24/1.84 2 / 0A 0A \ 7.24/1.84 \ -2A -2A / 7.24/1.84 3 / 7A 7A \ 7.24/1.84 \ 7A 7A / 7.24/1.84 4 / 7A 7A \ 7.24/1.84 \ 7A 7A / 7.24/1.84 [3, 0, 0] |-> [4, 0, 0, 2, 1] 7.24/1.84 lhs rhs ge gt 7.24/1.84 / 9A 9A \ / 9A 9A \ True False 7.24/1.84 \ 9A 9A / \ 9A 9A / 7.24/1.84 [4, 2] |-> [3] 7.24/1.84 lhs rhs ge gt 7.24/1.84 / 7A 7A \ / 7A 7A \ True False 7.24/1.84 \ 7A 7A / \ 7A 7A / 7.24/1.84 [3, 0, 0] |-> [3] 7.24/1.84 lhs rhs ge gt 7.24/1.84 / 9A 9A \ / 7A 7A \ True True 7.24/1.84 \ 9A 9A / \ 7A 7A / 7.24/1.84 [3, 0, 0] |-> [4, 2, 1] 7.24/1.84 lhs rhs ge gt 7.24/1.84 / 9A 9A \ / 7A 7A \ True True 7.24/1.84 \ 9A 9A / \ 7A 7A / 7.24/1.85 [3, 0, 0] |-> [4, 0, 2, 1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 9A 9A \ / 7A 7A \ True True 7.24/1.85 \ 9A 9A / \ 7A 7A / 7.24/1.85 [0] ->= [] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 0A 2A \ / 0A - \ True False 7.24/1.85 \ 0A 0A / \ - 0A / 7.24/1.85 [1, 0, 0] ->= [0, 0, 0, 2, 1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 2A 2A \ / 2A 2A \ True False 7.24/1.85 \ 2A 2A / \ 2A 2A / 7.24/1.85 [0, 2] ->= [1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 0A 0A \ / 0A 0A \ True False 7.24/1.85 \ 0A 0A / \ 0A 0A / 7.24/1.85 property Termination 7.24/1.85 has value True 7.24/1.85 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2, 1], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1]) 7.24/1.85 reason 7.24/1.85 EDG has 1 SCCs 7.24/1.85 property Termination 7.24/1.85 has value True 7.24/1.85 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2, 1], [4, 2] |-> [3], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1]) 7.24/1.85 reason 7.24/1.85 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.24/1.85 interpretation 7.24/1.85 0 / 0A 0A 3A \ 7.24/1.85 | 0A 0A 3A | 7.24/1.85 \ -3A 0A 0A / 7.24/1.85 1 / 0A 0A 3A \ 7.24/1.85 | 0A 0A 3A | 7.24/1.85 \ -3A -3A 0A / 7.24/1.85 2 / 0A 0A 3A \ 7.24/1.85 | -3A -3A 0A | 7.24/1.85 \ -3A -3A 0A / 7.24/1.85 3 / 2A 2A 5A \ 7.24/1.85 | 2A 2A 5A | 7.24/1.85 \ 2A 2A 5A / 7.24/1.85 4 / 5A 5A 5A \ 7.24/1.85 | 5A 5A 5A | 7.24/1.85 \ 5A 5A 5A / 7.24/1.85 [3, 0, 0] |-> [4, 0, 0, 2, 1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 5A 5A 8A \ / 5A 5A 8A \ True False 7.24/1.85 | 5A 5A 8A | | 5A 5A 8A | 7.24/1.85 \ 5A 5A 8A / \ 5A 5A 8A / 7.24/1.85 [4, 2] |-> [3] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 5A 5A 8A \ / 2A 2A 5A \ True True 7.24/1.85 | 5A 5A 8A | | 2A 2A 5A | 7.24/1.85 \ 5A 5A 8A / \ 2A 2A 5A / 7.24/1.85 [0] ->= [] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 0A 0A 3A \ / 0A - - \ True False 7.24/1.85 | 0A 0A 3A | | - 0A - | 7.24/1.85 \ -3A 0A 0A / \ - - 0A / 7.24/1.85 [1, 0, 0] ->= [0, 0, 0, 2, 1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 3A 3A 6A \ / 3A 3A 6A \ True False 7.24/1.85 | 3A 3A 6A | | 3A 3A 6A | 7.24/1.85 \ 0A 0A 3A / \ 0A 0A 3A / 7.24/1.85 [0, 2] ->= [1] 7.24/1.85 lhs rhs ge gt 7.24/1.85 / 0A 0A 3A \ / 0A 0A 3A \ True False 7.24/1.85 | 0A 0A 3A | | 0A 0A 3A | 7.24/1.85 \ -3A -3A 0A / \ -3A -3A 0A / 7.24/1.85 property Termination 7.24/1.85 has value True 7.24/1.85 for SRS ( [3, 0, 0] |-> [4, 0, 0, 2, 1], [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1]) 7.24/1.85 reason 7.24/1.85 weights 7.24/1.85 Map [(3, 1/1)] 7.24/1.85 7.24/1.85 property Termination 7.24/1.85 has value True 7.24/1.85 for SRS ( [0] ->= [], [1, 0, 0] ->= [0, 0, 0, 2, 1], [0, 2] ->= [1]) 7.24/1.85 reason 7.24/1.85 EDG has 0 SCCs 7.24/1.85 7.24/1.85 ************************************************** 7.24/1.85 summary 7.24/1.85 ************************************************** 7.24/1.85 SRS with 3 rules on 3 letters Remap { tracing = False} 7.24/1.85 SRS with 3 rules on 3 letters reverse each lhs and rhs 7.24/1.85 SRS with 3 rules on 3 letters DP transform 7.24/1.85 SRS with 8 rules on 5 letters Remap { tracing = False} 7.24/1.85 SRS with 8 rules on 5 letters EDG 7.24/1.85 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 7.24/1.85 SRS with 5 rules on 5 letters EDG 7.24/1.85 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.24/1.85 SRS with 4 rules on 5 letters weights 7.24/1.85 SRS with 3 rules on 3 letters EDG 7.24/1.85 7.24/1.85 ************************************************** 7.24/1.85 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{3}(4, 5)\Weight(3, 3)\EDG[] 7.24/1.85 ************************************************** 8.16/2.09 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]} 8.16/2.09 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 8.45/2.21 EOF