4.45/1.16 YES 4.45/1.16 property Termination 4.45/1.16 has value True 4.45/1.16 for SRS ( [a] -> [], [a] -> [b], [a, c] -> [c, c, a, b], [b, b] -> [a]) 4.45/1.16 reason 4.45/1.16 remap for 4 rules 4.45/1.16 property Termination 4.45/1.16 has value True 4.45/1.16 for SRS ( [0] -> [], [0] -> [1], [0, 2] -> [2, 2, 0, 1], [1, 1] -> [0]) 4.45/1.16 reason 4.45/1.16 reverse each lhs and rhs 4.45/1.16 property Termination 4.45/1.17 has value True 4.45/1.17 for SRS ( [0] -> [], [0] -> [1], [2, 0] -> [1, 0, 2, 2], [1, 1] -> [0]) 4.45/1.17 reason 4.45/1.17 DP transform 4.45/1.17 property Termination 4.45/1.17 has value True 4.45/1.20 for SRS ( [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0], [0#] |-> [1#], [2#, 0] |-> [1#, 0, 2, 2], [2#, 0] |-> [0#, 2, 2], [2#, 0] |-> [2#, 2], [2#, 0] |-> [2#], [1#, 1] |-> [0#]) 4.45/1.21 reason 4.45/1.21 remap for 10 rules 4.45/1.21 property Termination 4.45/1.21 has value True 4.74/1.22 for SRS ( [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0], [3] |-> [4], [5, 0] |-> [4, 0, 2, 2], [5, 0] |-> [3, 2, 2], [5, 0] |-> [5, 2], [5, 0] |-> [5], [4, 1] |-> [3]) 4.74/1.22 reason 4.74/1.22 weights 4.74/1.22 Map [(5, 2/1)] 4.74/1.22 4.74/1.22 property Termination 4.74/1.22 has value True 4.74/1.22 for SRS ( [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0], [3] |-> [4], [5, 0] |-> [5, 2], [5, 0] |-> [5], [4, 1] |-> [3]) 4.74/1.22 reason 4.74/1.22 EDG has 2 SCCs 4.74/1.22 property Termination 4.74/1.22 has value True 4.74/1.23 for SRS ( [3] |-> [4], [4, 1] |-> [3], [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0]) 4.74/1.23 reason 4.74/1.23 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.74/1.23 interpretation 4.74/1.23 0 / 2A 2A \ 4.74/1.23 \ 0A 0A / 4.74/1.23 1 / 0A 2A \ 4.74/1.23 \ 0A 0A / 4.74/1.23 2 / 0A 0A \ 4.74/1.23 \ 0A 0A / 4.74/1.23 3 / 9A 10A \ 4.74/1.23 \ 9A 10A / 4.74/1.23 4 / 9A 10A \ 4.74/1.23 \ 9A 10A / 4.74/1.23 [3] |-> [4] 4.74/1.23 lhs rhs ge gt 4.74/1.23 / 9A 10A \ / 9A 10A \ True False 4.74/1.24 \ 9A 10A / \ 9A 10A / 4.74/1.24 [4, 1] |-> [3] 4.74/1.24 lhs rhs ge gt 4.74/1.24 / 10A 11A \ / 9A 10A \ True True 4.74/1.24 \ 10A 11A / \ 9A 10A / 4.74/1.24 [0] ->= [] 4.74/1.24 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 0A - \ True False 4.74/1.25 \ 0A 0A / \ - 0A / 4.74/1.25 [0] ->= [1] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 0A 2A \ True False 4.74/1.25 \ 0A 0A / \ 0A 0A / 4.74/1.25 [2, 0] ->= [1, 0, 2, 2] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 2A 2A \ True False 4.74/1.25 \ 2A 2A / \ 2A 2A / 4.74/1.25 [1, 1] ->= [0] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 2A 2A \ True False 4.74/1.25 \ 0A 2A / \ 0A 0A / 4.74/1.25 property Termination 4.74/1.25 has value True 4.74/1.25 for SRS ( [3] |-> [4], [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0]) 4.74/1.25 reason 4.74/1.25 weights 4.74/1.25 Map [(3, 1/1)] 4.74/1.25 4.74/1.25 property Termination 4.74/1.25 has value True 4.74/1.25 for SRS ( [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0]) 4.74/1.25 reason 4.74/1.25 EDG has 0 SCCs 4.74/1.25 4.74/1.25 property Termination 4.74/1.25 has value True 4.74/1.25 for SRS ( [5, 0] |-> [5, 2], [5, 0] |-> [5], [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0]) 4.74/1.25 reason 4.74/1.25 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.74/1.25 interpretation 4.74/1.25 0 / 2A 2A \ 4.74/1.25 \ 0A 0A / 4.74/1.25 1 / 0A 2A \ 4.74/1.25 \ 0A 0A / 4.74/1.25 2 / 0A 0A \ 4.74/1.25 \ 0A 0A / 4.74/1.25 5 / 19A 19A \ 4.74/1.25 \ 19A 19A / 4.74/1.25 [5, 0] |-> [5, 2] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 21A 21A \ / 19A 19A \ True True 4.74/1.25 \ 21A 21A / \ 19A 19A / 4.74/1.25 [5, 0] |-> [5] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 21A 21A \ / 19A 19A \ True True 4.74/1.25 \ 21A 21A / \ 19A 19A / 4.74/1.25 [0] ->= [] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 0A - \ True False 4.74/1.25 \ 0A 0A / \ - 0A / 4.74/1.25 [0] ->= [1] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 0A 2A \ True False 4.74/1.25 \ 0A 0A / \ 0A 0A / 4.74/1.25 [2, 0] ->= [1, 0, 2, 2] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 2A 2A \ True False 4.74/1.25 \ 2A 2A / \ 2A 2A / 4.74/1.25 [1, 1] ->= [0] 4.74/1.25 lhs rhs ge gt 4.74/1.25 / 2A 2A \ / 2A 2A \ True False 4.74/1.25 \ 0A 2A / \ 0A 0A / 4.74/1.25 property Termination 4.74/1.26 has value True 4.74/1.27 for SRS ( [0] ->= [], [0] ->= [1], [2, 0] ->= [1, 0, 2, 2], [1, 1] ->= [0]) 4.74/1.27 reason 4.74/1.27 EDG has 0 SCCs 4.74/1.27 4.74/1.27 ************************************************** 4.74/1.27 summary 4.74/1.27 ************************************************** 4.74/1.27 SRS with 4 rules on 3 letters Remap { tracing = False} 4.95/1.31 SRS with 4 rules on 3 letters reverse each lhs and rhs 4.95/1.31 SRS with 4 rules on 3 letters DP transform 4.95/1.31 SRS with 10 rules on 6 letters Remap { tracing = False} 4.95/1.32 SRS with 10 rules on 6 letters weights 4.95/1.32 SRS with 8 rules on 6 letters EDG 4.95/1.32 2 sub-proofs 4.95/1.32 1 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.95/1.32 SRS with 5 rules on 5 letters weights 4.95/1.32 SRS with 4 rules on 3 letters EDG 4.95/1.32 4.95/1.33 2 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.95/1.34 SRS with 4 rules on 3 letters EDG 4.95/1.34 4.95/1.34 ************************************************** 4.95/1.35 (4, 3)\Deepee(10, 6)\Weight(8, 6)\EDG[(6, 5)\Matrix{\Arctic}{2}(5, 5)\Weight(4, 3)\EDG[],(6, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[]] 4.95/1.35 ************************************************** 5.56/1.44 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]} 5.56/1.44 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 5.56/1.50 EOF