162.85/41.16 YES 162.85/41.16 property Termination 162.85/41.16 has value True 162.85/41.17 for SRS ( [a, a, b, b] -> [b, b, b, a, a, a], [a, c] -> [c, a], [c, b] -> [b, c]) 162.85/41.17 reason 162.85/41.17 remap for 3 rules 162.85/41.17 property Termination 162.85/41.17 has value True 162.85/41.18 for SRS ( [0, 0, 1, 1] -> [1, 1, 1, 0, 0, 0], [0, 2] -> [2, 0], [2, 1] -> [1, 2]) 162.85/41.18 reason 162.85/41.18 reverse each lhs and rhs 162.85/41.18 property Termination 162.85/41.18 has value True 163.01/41.18 for SRS ( [1, 1, 0, 0] -> [0, 0, 0, 1, 1, 1], [2, 0] -> [0, 2], [1, 2] -> [2, 1]) 163.01/41.18 reason 163.01/41.18 DP transform 163.01/41.18 property Termination 163.01/41.18 has value True 163.01/41.20 for SRS ( [1, 1, 0, 0] ->= [0, 0, 0, 1, 1, 1], [2, 0] ->= [0, 2], [1, 2] ->= [2, 1], [1#, 1, 0, 0] |-> [1#, 1, 1], [1#, 1, 0, 0] |-> [1#, 1], [1#, 1, 0, 0] |-> [1#], [2#, 0] |-> [2#], [1#, 2] |-> [2#, 1], [1#, 2] |-> [1#]) 163.01/41.20 reason 163.01/41.20 remap for 9 rules 163.01/41.20 property Termination 163.01/41.20 has value True 163.32/41.28 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0], [3, 0, 1, 1] |-> [3, 0, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [3], [4, 1] |-> [4], [3, 2] |-> [4, 0], [3, 2] |-> [3]) 163.32/41.28 reason 163.32/41.30 weights 164.06/41.45 Map [(2, 2/1), (3, 1/1)] 164.06/41.45 164.06/41.47 property Termination 164.06/41.49 has value True 164.47/41.59 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0], [3, 0, 1, 1] |-> [3, 0, 0], [3, 0, 1, 1] |-> [3, 0], [3, 0, 1, 1] |-> [3], [4, 1] |-> [4]) 164.47/41.59 reason 164.47/41.59 EDG has 2 SCCs 164.47/41.59 property Termination 164.47/41.59 has value True 164.69/41.61 for SRS ( [4, 1] |-> [4], [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0]) 164.69/41.61 reason 164.69/41.63 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 164.69/41.63 interpretation 164.69/41.63 0 Wk / 0 0 2 0 \ 164.69/41.63 | 0 0 1 0 | 164.69/41.63 | 0 1 0 0 | 164.69/41.63 \ 0 0 0 1 / 164.69/41.64 1 Wk / 0 1 2 1 \ 164.69/41.64 | 1 0 0 0 | 164.69/41.64 | 0 0 0 0 | 164.69/41.64 \ 0 0 0 1 / 164.69/41.65 2 Wk / 1 0 0 0 \ 164.69/41.65 | 0 1 0 0 | 164.69/41.65 | 0 0 1 0 | 164.69/41.65 \ 0 0 0 1 / 164.69/41.65 4 Wk / 1 1 0 0 \ 164.69/41.65 | 0 0 0 4 | 164.69/41.65 | 0 0 0 4 | 164.69/41.65 \ 0 0 0 1 / 164.69/41.65 [4, 1] |-> [4] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 1 1 2 1 \ Wk / 1 1 0 0 \ True True 165.67/41.90 | 0 0 0 4 | | 0 0 0 4 | 165.67/41.90 | 0 0 0 4 | | 0 0 0 4 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 0 2 4 2 \ Wk / 0 2 1 2 \ True False 165.67/41.90 | 0 1 2 1 | | 0 0 2 1 | 165.67/41.90 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 [2, 1] ->= [1, 2] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 0 1 2 1 \ Wk / 0 1 2 1 \ True False 165.67/41.90 | 1 0 0 0 | | 1 0 0 0 | 165.67/41.90 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 [0, 2] ->= [2, 0] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 0 0 2 0 \ Wk / 0 0 2 0 \ True False 165.67/41.90 | 0 0 1 0 | | 0 0 1 0 | 165.67/41.90 | 0 1 0 0 | | 0 1 0 0 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 property Termination 165.67/41.90 has value True 165.67/41.90 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0]) 165.67/41.90 reason 165.67/41.90 EDG has 0 SCCs 165.67/41.90 165.67/41.90 property Termination 165.67/41.90 has value True 165.67/41.90 for SRS ( [3, 0, 1, 1] |-> [3, 0, 0], [3, 0, 1, 1] |-> [3], [3, 0, 1, 1] |-> [3, 0], [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0]) 165.67/41.90 reason 165.67/41.90 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 165.67/41.90 interpretation 165.67/41.90 0 Wk / 0 1 0 0 \ 165.67/41.90 | 1 0 0 0 | 165.67/41.90 | 0 2 0 0 | 165.67/41.90 \ 0 0 0 1 / 165.67/41.90 1 Wk / 0 0 1 0 \ 165.67/41.90 | 0 0 0 0 | 165.67/41.90 | 1 2 0 1 | 165.67/41.90 \ 0 0 0 1 / 165.67/41.90 2 Wk / 2 0 0 0 \ 165.67/41.90 | 0 2 0 0 | 165.67/41.90 | 0 0 2 0 | 165.67/41.90 \ 0 0 0 1 / 165.67/41.90 3 Wk / 0 2 0 3 \ 165.67/41.90 | 0 0 0 0 | 165.67/41.90 | 0 0 0 4 | 165.67/41.90 \ 0 0 0 1 / 165.67/41.90 [3, 0, 1, 1] |-> [3, 0, 0] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 2 4 0 5 \ Wk / 0 2 0 3 \ True True 165.67/41.90 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.90 | 0 0 0 4 | | 0 0 0 4 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 [3, 0, 1, 1] |-> [3] 165.67/41.90 lhs rhs ge gt 165.67/41.90 Wk / 2 4 0 5 \ Wk / 0 2 0 3 \ True True 165.67/41.90 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.90 | 0 0 0 4 | | 0 0 0 4 | 165.67/41.90 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.90 [3, 0, 1, 1] |-> [3, 0] 165.67/41.92 lhs rhs ge gt 165.67/41.92 Wk / 2 4 0 5 \ Wk / 2 0 0 3 \ True True 165.67/41.92 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.92 | 0 0 0 4 | | 0 0 0 4 | 165.67/41.92 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.92 [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0] 165.67/41.92 lhs rhs ge gt 165.67/41.92 Wk / 1 2 0 1 \ Wk / 0 2 0 1 \ True False 165.67/41.92 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.92 | 2 4 0 2 | | 2 1 0 2 | 165.67/41.92 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.92 [2, 1] ->= [1, 2] 165.67/41.92 lhs rhs ge gt 165.67/41.92 Wk / 0 0 2 0 \ Wk / 0 0 2 0 \ True False 165.67/41.92 | 0 0 0 0 | | 0 0 0 0 | 165.67/41.92 | 2 4 0 2 | | 2 4 0 1 | 165.67/41.92 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.92 [0, 2] ->= [2, 0] 165.67/41.92 lhs rhs ge gt 165.67/41.92 Wk / 0 2 0 0 \ Wk / 0 2 0 0 \ True False 165.67/41.92 | 2 0 0 0 | | 2 0 0 0 | 165.67/41.92 | 0 4 0 0 | | 0 4 0 0 | 165.67/41.92 \ 0 0 0 1 / \ 0 0 0 1 / 165.67/41.92 property Termination 165.67/41.92 has value True 165.67/41.92 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0, 0, 0], [2, 1] ->= [1, 2], [0, 2] ->= [2, 0]) 165.67/41.92 reason 165.67/41.92 EDG has 0 SCCs 165.67/41.92 165.67/41.92 ************************************************** 165.67/41.92 summary 165.67/41.92 ************************************************** 165.67/41.92 SRS with 3 rules on 3 letters Remap { tracing = False} 165.67/41.92 SRS with 3 rules on 3 letters reverse each lhs and rhs 165.67/41.92 SRS with 3 rules on 3 letters DP transform 165.67/41.92 SRS with 9 rules on 5 letters Remap { tracing = False} 165.67/41.92 SRS with 9 rules on 5 letters weights 165.67/41.92 SRS with 7 rules on 5 letters EDG 165.67/41.92 2 sub-proofs 165.67/41.92 1 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 165.67/41.92 SRS with 3 rules on 3 letters EDG 165.67/41.92 165.67/41.92 2 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 165.67/41.92 SRS with 3 rules on 3 letters EDG 165.67/41.92 165.67/41.92 ************************************************** 165.67/41.92 (3, 3)\Deepee(9, 5)\Weight(7, 5)\EDG[(4, 4)\Matrix{\Natural}{4}(3, 3)\EDG[],(6, 4)\Matrix{\Natural}{4}(3, 3)\EDG[]] 165.67/41.92 ************************************************** 165.94/41.97 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]} 165.94/41.97 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 166.42/42.08 EOF