301.14/76.15 YES 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [a] -> [], [a, a, b, b] -> [b, c, a, c], [c] -> [b, a]) 301.14/76.15 reason 301.14/76.15 remap for 3 rules 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [0] -> [], [0, 0, 1, 1] -> [1, 2, 0, 2], [2] -> [1, 0]) 301.14/76.15 reason 301.14/76.15 reverse each lhs and rhs 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [0] -> [], [1, 1, 0, 0] -> [2, 0, 2, 1], [2] -> [0, 1]) 301.14/76.15 reason 301.14/76.15 DP transform 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1], [1#, 1, 0, 0] |-> [2#, 0, 2, 1], [1#, 1, 0, 0] |-> [0#, 2, 1], [1#, 1, 0, 0] |-> [2#, 1], [1#, 1, 0, 0] |-> [1#], [2#] |-> [0#, 1], [2#] |-> [1#]) 301.14/76.15 reason 301.14/76.15 remap for 9 rules 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1], [3, 1, 0, 0] |-> [4, 0, 2, 1], [3, 1, 0, 0] |-> [5, 2, 1], [3, 1, 0, 0] |-> [4, 1], [3, 1, 0, 0] |-> [3], [4] |-> [5, 1], [4] |-> [3]) 301.14/76.15 reason 301.14/76.15 weights 301.14/76.15 Map [(3, 1/2), (4, 1/2)] 301.14/76.15 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1], [3, 1, 0, 0] |-> [4, 0, 2, 1], [3, 1, 0, 0] |-> [4, 1], [3, 1, 0, 0] |-> [3], [4] |-> [3]) 301.14/76.15 reason 301.14/76.15 EDG has 1 SCCs 301.14/76.15 property Termination 301.14/76.15 has value True 301.14/76.15 for SRS ( [3, 1, 0, 0] |-> [4, 0, 2, 1], [4] |-> [3], [3, 1, 0, 0] |-> [3], [3, 1, 0, 0] |-> [4, 1], [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.14/76.15 reason 301.39/76.23 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.39/76.23 interpretation 301.39/76.23 0 Wk / 0A 0A - - \ 301.39/76.23 | 1A 0A 0A 6A | 301.39/76.23 | - - 0A 5A | 301.39/76.23 \ - - - 0A / 301.39/76.23 1 Wk / 0A - - 0A \ 301.39/76.23 | 0A - 0A 2A | 301.39/76.23 | 1A 0A - - | 301.39/76.23 \ - - - 0A / 301.39/76.23 2 Wk / 0A - 0A 3A \ 301.39/76.23 | 1A 0A 0A 6A | 301.39/76.23 | 1A 0A 0A 5A | 301.39/76.23 \ - - - 0A / 301.39/76.23 3 Wk / 0A - - - \ 301.39/76.23 | 0A - - 2A | 301.39/76.23 | - - - - | 301.39/76.23 \ - - - 0A / 301.39/76.23 4 Wk / 0A - - 2A \ 301.39/76.23 | 0A - 0A 6A | 301.39/76.23 | - - - - | 301.39/76.23 \ - - - 0A / 301.39/76.23 [3, 1, 0, 0] |-> [4, 0, 2, 1] 301.39/76.25 lhs rhs ge gt 301.39/76.25 Wk / 1A 0A 0A 6A \ Wk / 1A 0A 0A 6A \ True False 301.39/76.25 | 1A 0A 0A 6A | | 1A 0A 0A 6A | 301.39/76.25 | - - - - | | - - - - | 301.39/76.25 \ - - - 0A / \ - - - 0A / 301.39/76.25 [4] |-> [3] 301.39/76.25 lhs rhs ge gt 301.39/76.25 Wk / 0A - - 2A \ Wk / 0A - - - \ True False 301.39/76.25 | 0A - 0A 6A | | 0A - - 2A | 301.39/76.25 | - - - - | | - - - - | 301.39/76.25 \ - - - 0A / \ - - - 0A / 301.39/76.25 [3, 1, 0, 0] |-> [3] 301.39/76.25 lhs rhs ge gt 301.39/76.25 Wk / 1A 0A 0A 6A \ Wk / 0A - - - \ True True 301.39/76.25 | 1A 0A 0A 6A | | 0A - - 2A | 301.39/76.25 | - - - - | | - - - - | 301.39/76.25 \ - - - 0A / \ - - - 0A / 301.39/76.25 [3, 1, 0, 0] |-> [4, 1] 301.39/76.26 lhs rhs ge gt 301.39/76.26 Wk / 1A 0A 0A 6A \ Wk / 0A - - 2A \ True False 301.39/76.26 | 1A 0A 0A 6A | | 1A 0A - 6A | 301.39/76.26 | - - - - | | - - - - | 301.39/76.26 \ - - - 0A / \ - - - 0A / 301.39/76.26 [0] ->= [] 301.39/76.26 lhs rhs ge gt 301.39/76.26 Wk / 0A 0A - - \ Wk / 0A - - - \ True False 301.39/76.26 | 1A 0A 0A 6A | | - 0A - - | 301.39/76.26 | - - 0A 5A | | - - 0A - | 301.39/76.26 \ - - - 0A / \ - - - 0A / 301.39/76.26 [1, 1, 0, 0] ->= [2, 0, 2, 1] 301.39/76.26 lhs rhs ge gt 301.39/76.26 Wk / 1A 0A 0A 6A \ Wk / 1A 0A 0A 6A \ True False 301.39/76.26 | 2A 1A 1A 7A | | 2A 1A 1A 7A | 301.39/76.26 | 2A 1A 1A 7A | | 2A 1A 1A 7A | 301.39/76.26 \ - - - 0A / \ - - - 0A / 301.39/76.26 [2] ->= [0, 1] 301.64/76.27 lhs rhs ge gt 301.64/76.27 Wk / 0A - 0A 3A \ Wk / 0A - 0A 2A \ True False 301.64/76.27 | 1A 0A 0A 6A | | 1A 0A 0A 6A | 301.64/76.27 | 1A 0A 0A 5A | | 1A 0A - 5A | 301.64/76.27 \ - - - 0A / \ - - - 0A / 301.64/76.27 property Termination 301.64/76.27 has value True 301.64/76.27 for SRS ( [3, 1, 0, 0] |-> [4, 0, 2, 1], [4] |-> [3], [3, 1, 0, 0] |-> [4, 1], [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.64/76.27 reason 301.64/76.27 EDG has 1 SCCs 301.64/76.27 property Termination 301.64/76.27 has value True 301.64/76.27 for SRS ( [3, 1, 0, 0] |-> [4, 0, 2, 1], [4] |-> [3], [3, 1, 0, 0] |-> [4, 1], [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.64/76.27 reason 301.64/76.27 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.64/76.27 interpretation 301.64/76.27 0 Wk / 0A 6A 0A - \ 301.64/76.27 | 0A 0A 0A - | 301.64/76.27 | - 0A 0A - | 301.64/76.27 \ - - - 0A / 301.64/76.27 1 Wk / 0A 0A 0A - \ 301.64/76.27 | - - 0A - | 301.64/76.27 | 0A 0A - - | 301.64/76.27 \ - - - 0A / 301.64/76.27 2 Wk / 0A 0A 6A - \ 301.64/76.27 | 0A 0A 0A - | 301.64/76.27 | 0A 0A 0A - | 301.64/76.27 \ - - - 0A / 301.64/76.28 3 Wk / 0A - - - \ 301.64/76.28 | - - - - | 301.64/76.28 | - - - - | 301.64/76.28 \ - - - 0A / 301.64/76.28 4 Wk / 0A - - - \ 301.64/76.28 | - - - - | 301.64/76.28 | - - - - | 301.64/76.28 \ - - - 0A / 301.64/76.28 [3, 1, 0, 0] |-> [4, 0, 2, 1] 301.64/76.28 lhs rhs ge gt 301.64/76.28 Wk / 6A 6A 6A - \ Wk / 6A 6A 6A - \ True False 301.64/76.28 | - - - - | | - - - - | 301.64/76.28 | - - - - | | - - - - | 301.64/76.28 \ - - - 0A / \ - - - 0A / 301.64/76.28 [4] |-> [3] 301.64/76.28 lhs rhs ge gt 301.64/76.28 Wk / 0A - - - \ Wk / 0A - - - \ True False 301.64/76.28 | - - - - | | - - - - | 301.64/76.28 | - - - - | | - - - - | 301.64/76.28 \ - - - 0A / \ - - - 0A / 301.64/76.28 [3, 1, 0, 0] |-> [4, 1] 301.64/76.29 lhs rhs ge gt 301.64/76.29 Wk / 6A 6A 6A - \ Wk / 0A 0A 0A - \ True True 301.64/76.29 | - - - - | | - - - - | 301.64/76.29 | - - - - | | - - - - | 301.64/76.29 \ - - - 0A / \ - - - 0A / 301.64/76.29 [0] ->= [] 301.64/76.29 lhs rhs ge gt 301.64/76.29 Wk / 0A 6A 0A - \ Wk / 0A - - - \ True False 301.64/76.29 | 0A 0A 0A - | | - 0A - - | 301.64/76.29 | - 0A 0A - | | - - 0A - | 301.64/76.29 \ - - - 0A / \ - - - 0A / 301.64/76.29 [1, 1, 0, 0] ->= [2, 0, 2, 1] 301.64/76.29 lhs rhs ge gt 301.64/76.29 Wk / 6A 6A 6A - \ Wk / 6A 6A 6A - \ True False 301.64/76.29 | 6A 6A 6A - | | 6A 6A 6A - | 301.64/76.29 | 6A 6A 6A - | | 6A 6A 6A - | 301.64/76.29 \ - - - 0A / \ - - - 0A / 301.64/76.29 [2] ->= [0, 1] 301.64/76.31 lhs rhs ge gt 301.64/76.31 Wk / 0A 0A 6A - \ Wk / 0A 0A 6A - \ True False 301.64/76.31 | 0A 0A 0A - | | 0A 0A 0A - | 301.64/76.31 | 0A 0A 0A - | | 0A 0A 0A - | 301.64/76.31 \ - - - 0A / \ - - - 0A / 301.64/76.31 property Termination 301.64/76.31 has value True 301.64/76.31 for SRS ( [3, 1, 0, 0] |-> [4, 0, 2, 1], [4] |-> [3], [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.64/76.31 reason 301.64/76.31 EDG has 1 SCCs 301.64/76.31 property Termination 301.64/76.31 has value True 301.64/76.31 for SRS ( [3, 1, 0, 0] |-> [4, 0, 2, 1], [4] |-> [3], [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.64/76.31 reason 301.64/76.31 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.64/76.31 interpretation 301.64/76.31 0 Wk / 0A 0A 0A 3A \ 301.64/76.31 | 4A 0A 0A 5A | 301.64/76.31 | - - 0A 2A | 301.64/76.31 \ - - - 0A / 301.64/76.31 1 Wk / - - 0A 0A \ 301.64/76.31 | - 0A - - | 301.64/76.31 | 0A 0A 0A - | 301.64/76.31 \ - - - 0A / 301.64/76.31 2 Wk / 0A 0A 0A 3A \ 301.64/76.31 | 0A 0A 4A 7A | 301.64/76.31 | 0A 0A 0A 3A | 301.64/76.31 \ - - - 0A / 301.64/76.32 3 Wk / - - 0A 0A \ 301.64/76.32 | - - - - | 301.64/76.32 | - - - - | 301.64/76.32 \ - - - 0A / 301.64/76.32 4 Wk / - - 1A 1A \ 301.64/76.32 | - - - - | 301.64/76.32 | - - - - | 301.64/76.32 \ - - - 0A / 301.64/76.32 [3, 1, 0, 0] |-> [4, 0, 2, 1] 301.64/76.32 lhs rhs ge gt 301.64/76.32 Wk / 4A 4A 4A 7A \ Wk / 1A 1A 1A 4A \ True True 301.64/76.32 | - - - - | | - - - - | 301.64/76.32 | - - - - | | - - - - | 301.64/76.32 \ - - - 0A / \ - - - 0A / 301.64/76.32 [4] |-> [3] 301.64/76.32 lhs rhs ge gt 301.64/76.32 Wk / - - 1A 1A \ Wk / - - 0A 0A \ True True 301.64/76.32 | - - - - | | - - - - | 301.64/76.32 | - - - - | | - - - - | 301.64/76.32 \ - - - 0A / \ - - - 0A / 301.64/76.32 [0] ->= [] 301.64/76.33 lhs rhs ge gt 301.64/76.33 Wk / 0A 0A 0A 3A \ Wk / 0A - - - \ True False 301.64/76.33 | 4A 0A 0A 5A | | - 0A - - | 301.64/76.33 | - - 0A 2A | | - - 0A - | 301.64/76.33 \ - - - 0A / \ - - - 0A / 301.64/76.33 [1, 1, 0, 0] ->= [2, 0, 2, 1] 301.64/76.33 lhs rhs ge gt 301.64/76.33 Wk / 4A 4A 4A 7A \ Wk / 4A 4A 4A 7A \ True False 301.64/76.33 | 4A 4A 4A 7A | | 4A 4A 4A 7A | 301.64/76.33 | 4A 4A 4A 7A | | 4A 4A 4A 7A | 301.64/76.33 \ - - - 0A / \ - - - 0A / 301.64/76.33 [2] ->= [0, 1] 301.64/76.33 lhs rhs ge gt 301.64/76.33 Wk / 0A 0A 0A 3A \ Wk / 0A 0A 0A 3A \ True False 301.64/76.33 | 0A 0A 4A 7A | | 0A 0A 4A 5A | 301.64/76.34 | 0A 0A 0A 3A | | 0A 0A 0A 2A | 301.64/76.34 \ - - - 0A / \ - - - 0A / 301.64/76.34 property Termination 301.64/76.34 has value True 301.64/76.34 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [2, 0, 2, 1], [2] ->= [0, 1]) 301.64/76.34 reason 301.64/76.34 EDG has 0 SCCs 301.64/76.34 301.64/76.34 ************************************************** 301.64/76.34 summary 301.64/76.34 ************************************************** 301.64/76.34 SRS with 3 rules on 3 letters Remap { tracing = False} 301.64/76.34 SRS with 3 rules on 3 letters reverse each lhs and rhs 301.64/76.34 SRS with 3 rules on 3 letters DP transform 301.64/76.34 SRS with 9 rules on 6 letters Remap { tracing = False} 301.64/76.34 SRS with 9 rules on 6 letters weights 301.64/76.34 SRS with 7 rules on 5 letters EDG 301.64/76.34 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.64/76.34 SRS with 6 rules on 5 letters EDG 301.64/76.34 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.64/76.34 SRS with 5 rules on 5 letters EDG 301.64/76.34 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 301.64/76.34 SRS with 3 rules on 3 letters EDG 301.64/76.34 301.64/76.34 ************************************************** 301.64/76.34 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(3, 3)\EDG[] 301.64/76.34 ************************************************** 302.31/76.45 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]} 302.31/76.45 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 302.84/76.61 EOF