3.58/0.96 YES 3.58/0.96 property Termination 3.58/0.96 has value True 3.77/0.97 for SRS ( [a] -> [], [a, b] -> [c, b, a, a], [b] -> [c], [c, c] -> [b]) 3.77/0.97 reason 3.77/0.97 remap for 4 rules 3.77/0.97 property Termination 3.77/0.97 has value True 3.77/0.97 for SRS ( [0] -> [], [0, 1] -> [2, 1, 0, 0], [1] -> [2], [2, 2] -> [1]) 3.77/0.98 reason 3.77/0.98 DP transform 3.77/0.98 property Termination 3.77/0.98 has value True 3.77/0.98 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1], [0#, 1] |-> [2#, 1, 0, 0], [0#, 1] |-> [1#, 0, 0], [0#, 1] |-> [0#, 0], [0#, 1] |-> [0#], [1#] |-> [2#], [2#, 2] |-> [1#]) 3.77/0.98 reason 3.77/0.98 remap for 10 rules 3.77/0.98 property Termination 3.77/0.98 has value True 3.77/0.99 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1], [3, 1] |-> [4, 1, 0, 0], [3, 1] |-> [5, 0, 0], [3, 1] |-> [3, 0], [3, 1] |-> [3], [5] |-> [4], [4, 2] |-> [5]) 3.77/0.99 reason 3.77/0.99 weights 3.77/0.99 Map [(3, 2/1)] 3.77/0.99 3.77/0.99 property Termination 3.77/0.99 has value True 3.77/1.00 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1], [3, 1] |-> [3, 0], [3, 1] |-> [3], [5] |-> [4], [4, 2] |-> [5]) 3.77/1.00 reason 3.77/1.00 EDG has 2 SCCs 3.77/1.00 property Termination 3.77/1.00 has value True 3.77/1.00 for SRS ( [3, 1] |-> [3, 0], [3, 1] |-> [3], [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1]) 3.77/1.00 reason 3.77/1.00 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.77/1.00 interpretation 3.77/1.00 0 / 0A 2A \ 3.77/1.00 \ -2A 0A / 3.77/1.00 1 / 0A 2A \ 3.77/1.00 \ 0A 2A / 3.77/1.00 2 / 0A 2A \ 3.77/1.00 \ 0A 0A / 3.77/1.00 3 / 23A 25A \ 3.77/1.00 \ 23A 25A / 3.77/1.00 [3, 1] |-> [3, 0] 3.77/1.00 lhs rhs ge gt 3.77/1.00 / 25A 27A \ / 23A 25A \ True True 3.77/1.00 \ 25A 27A / \ 23A 25A / 3.77/1.00 [3, 1] |-> [3] 3.77/1.00 lhs rhs ge gt 3.77/1.00 / 25A 27A \ / 23A 25A \ True True 3.77/1.00 \ 25A 27A / \ 23A 25A / 3.77/1.00 [0] ->= [] 3.77/1.00 lhs rhs ge gt 3.77/1.00 / 0A 2A \ / 0A - \ True False 3.77/1.00 \ -2A 0A / \ - 0A / 3.77/1.00 [0, 1] ->= [2, 1, 0, 0] 3.77/1.00 lhs rhs ge gt 3.77/1.00 / 2A 4A \ / 2A 4A \ True False 3.77/1.00 \ 0A 2A / \ 0A 2A / 3.77/1.00 [1] ->= [2] 3.77/1.00 lhs rhs ge gt 3.77/1.00 / 0A 2A \ / 0A 2A \ True False 3.77/1.00 \ 0A 2A / \ 0A 0A / 3.77/1.01 [2, 2] ->= [1] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 2A 2A \ / 0A 2A \ True False 3.77/1.01 \ 0A 2A / \ 0A 2A / 3.77/1.01 property Termination 3.77/1.01 has value True 3.77/1.01 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1]) 3.77/1.01 reason 3.77/1.01 EDG has 0 SCCs 3.77/1.01 3.77/1.01 property Termination 3.77/1.01 has value True 3.77/1.01 for SRS ( [5] |-> [4], [4, 2] |-> [5], [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1]) 3.77/1.01 reason 3.77/1.01 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.77/1.01 interpretation 3.77/1.01 0 / 0A 0A \ 3.77/1.01 \ 0A 0A / 3.77/1.01 1 / 2A 2A \ 3.77/1.01 \ 0A 0A / 3.77/1.01 2 / 0A 2A \ 3.77/1.01 \ 0A 0A / 3.77/1.01 4 / 10A 11A \ 3.77/1.01 \ 10A 11A / 3.77/1.01 5 / 10A 11A \ 3.77/1.01 \ 10A 11A / 3.77/1.01 [5] |-> [4] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 10A 11A \ / 10A 11A \ True False 3.77/1.01 \ 10A 11A / \ 10A 11A / 3.77/1.01 [4, 2] |-> [5] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 11A 12A \ / 10A 11A \ True True 3.77/1.01 \ 11A 12A / \ 10A 11A / 3.77/1.01 [0] ->= [] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 0A 0A \ / 0A - \ True False 3.77/1.01 \ 0A 0A / \ - 0A / 3.77/1.01 [0, 1] ->= [2, 1, 0, 0] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 2A 2A \ / 2A 2A \ True False 3.77/1.01 \ 2A 2A / \ 2A 2A / 3.77/1.01 [1] ->= [2] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 2A 2A \ / 0A 2A \ True False 3.77/1.01 \ 0A 0A / \ 0A 0A / 3.77/1.01 [2, 2] ->= [1] 3.77/1.01 lhs rhs ge gt 3.77/1.01 / 2A 2A \ / 2A 2A \ True False 3.77/1.01 \ 0A 2A / \ 0A 0A / 3.77/1.01 property Termination 3.77/1.01 has value True 3.77/1.01 for SRS ( [5] |-> [4], [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1]) 3.77/1.01 reason 3.77/1.01 weights 3.77/1.01 Map [(5, 1/1)] 3.77/1.01 3.77/1.01 property Termination 3.77/1.01 has value True 3.77/1.01 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0, 0], [1] ->= [2], [2, 2] ->= [1]) 3.77/1.01 reason 3.77/1.01 EDG has 0 SCCs 3.77/1.01 3.77/1.01 ************************************************** 3.77/1.01 summary 3.77/1.01 ************************************************** 3.77/1.01 SRS with 4 rules on 3 letters Remap { tracing = False} 3.77/1.02 SRS with 4 rules on 3 letters DP transform 3.77/1.02 SRS with 10 rules on 6 letters Remap { tracing = False} 3.77/1.02 SRS with 10 rules on 6 letters weights 3.77/1.02 SRS with 8 rules on 6 letters EDG 3.77/1.02 2 sub-proofs 3.77/1.02 1 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.77/1.03 SRS with 4 rules on 3 letters EDG 3.77/1.03 3.77/1.03 2 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 3.77/1.03 SRS with 5 rules on 5 letters weights 3.77/1.03 SRS with 4 rules on 3 letters EDG 3.77/1.03 3.77/1.03 ************************************************** 3.77/1.04 (4, 3)\Deepee(10, 6)\Weight(8, 6)\EDG[(6, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[],(6, 5)\Matrix{\Arctic}{2}(5, 5)\Weight(4, 3)\EDG[]] 3.77/1.04 ************************************************** 5.25/1.38 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]} 5.25/1.38 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 5.25/1.42 EOF