195.95/49.45 YES 195.95/49.45 property Termination 195.95/49.45 has value True 195.95/49.45 for SRS ( [p, 0] -> [s, s, 0, s, s, p], [p, s, 0] -> [0], [p, s, s] -> [s, p, s], [f, s] -> [g, q, i], [g] -> [f, p, p], [q, i] -> [q, s], [q, s] -> [s, s], [i] -> [s]) 195.95/49.45 reason 195.95/49.45 remap for 8 rules 195.95/49.45 property Termination 195.95/49.45 has value True 195.95/49.45 for SRS ( [0, 1] -> [2, 2, 1, 2, 2, 0], [0, 2, 1] -> [1], [0, 2, 2] -> [2, 0, 2], [3, 2] -> [4, 5, 6], [4] -> [3, 0, 0], [5, 6] -> [5, 2], [5, 2] -> [2, 2], [6] -> [2]) 195.95/49.45 reason 195.95/49.45 DP transform 195.95/49.45 property Termination 195.95/49.45 has value True 195.95/49.45 for SRS ( [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2], [0#, 1] |-> [0#], [0#, 2, 2] |-> [0#, 2], [3#, 2] |-> [4#, 5, 6], [3#, 2] |-> [5#, 6], [3#, 2] |-> [6#], [4#] |-> [3#, 0, 0], [4#] |-> [0#, 0], [4#] |-> [0#], [5#, 6] |-> [5#, 2]) 195.95/49.45 reason 195.95/49.45 remap for 17 rules 195.95/49.45 property Termination 195.95/49.45 has value True 195.95/49.45 for SRS ( [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2], [7, 1] |-> [7], [7, 2, 2] |-> [7, 2], [8, 2] |-> [9, 5, 6], [8, 2] |-> [10, 6], [8, 2] |-> [11], [9] |-> [8, 0, 0], [9] |-> [7, 0], [9] |-> [7], [10, 6] |-> [10, 2]) 195.95/49.45 reason 195.95/49.45 weights 195.95/49.46 Map [(1, 1/1), (8, 1/4), (9, 1/4)] 195.95/49.46 195.95/49.46 property Termination 195.95/49.46 has value True 195.95/49.46 for SRS ( [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2], [7, 2, 2] |-> [7, 2], [8, 2] |-> [9, 5, 6], [9] |-> [8, 0, 0], [10, 6] |-> [10, 2]) 195.95/49.46 reason 195.95/49.46 EDG has 2 SCCs 195.95/49.46 property Termination 195.95/49.46 has value True 195.95/49.46 for SRS ( [7, 2, 2] |-> [7, 2], [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2]) 195.95/49.46 reason 195.95/49.46 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 195.95/49.46 interpretation 195.95/49.46 0 Wk / 1A 4A 5A 3A \ 195.95/49.46 | - 5A 1A 1A | 195.95/49.46 | 4A 3A 5A 2A | 195.95/49.46 \ - - - 0A / 195.95/49.46 1 Wk / - - - 0A \ 195.95/49.46 | - - - 1A | 195.95/49.46 | - - - 1A | 195.95/49.46 \ - - - 0A / 195.95/49.46 2 Wk / - 1A 0A 0A \ 195.95/49.46 | - 0A 1A 0A | 195.95/49.46 | 1A 1A 1A - | 195.95/49.46 \ - - - 0A / 195.95/49.46 3 Wk / - - - 4A \ 195.95/49.46 | - - - - | 195.95/49.46 | - - - 7A | 195.95/49.46 \ - - - 0A / 195.95/49.46 4 Wk / - - - 4A \ 195.95/49.46 | - - - - | 195.95/49.46 | - - - 7A | 195.95/49.46 \ - - - 0A / 195.95/49.46 5 Wk / - 6A 5A 1A \ 195.95/49.46 | - 0A 2A 3A | 195.95/49.46 | 4A 6A 5A 7A | 195.95/49.46 \ - - - 0A / 195.95/49.46 6 Wk / 0A 1A 1A 2A \ 195.95/49.46 | 0A 0A 1A 1A | 195.95/49.46 | 1A 2A 1A 2A | 195.95/49.46 \ - - - 0A / 195.95/49.46 7 Wk / - - 5A 0A \ 195.95/49.46 | - - - - | 195.95/49.46 | - - - - | 195.95/49.46 \ - - - 0A / 195.95/49.46 [7, 2, 2] |-> [7, 2] 195.95/49.46 lhs rhs ge gt 195.95/49.46 Wk / 7A 7A 7A 6A \ Wk / 6A 6A 6A 0A \ True True 195.95/49.46 | - - - - | | - - - - | 195.95/49.46 | - - - - | | - - - - | 195.95/49.46 \ - - - 0A / \ - - - 0A / 195.95/49.46 [0, 1] ->= [2, 2, 1, 2, 2, 0] 195.95/49.47 lhs rhs ge gt 195.95/49.47 Wk / - - - 6A \ Wk / - - - 3A \ True True 195.95/49.47 | - - - 6A | | - - - 3A | 195.95/49.47 | - - - 6A | | - - - 3A | 195.95/49.47 \ - - - 0A / \ - - - 0A / 195.95/49.47 [0, 2, 1] ->= [1] 195.95/49.47 lhs rhs ge gt 195.95/49.47 Wk / - - - 7A \ Wk / - - - 0A \ True True 195.95/49.47 | - - - 7A | | - - - 1A | 195.95/49.47 | - - - 7A | | - - - 1A | 195.95/49.47 \ - - - 0A / \ - - - 0A / 195.95/49.47 [0, 2, 2] ->= [2, 0, 2] 195.95/49.47 lhs rhs ge gt 195.95/49.47 Wk / 7A 7A 7A 6A \ Wk / 6A 6A 7A 6A \ True False 195.95/49.47 | 7A 7A 7A 5A | | 7A 7A 7A 5A | 195.95/49.47 | 7A 7A 7A 6A | | 7A 7A 7A 6A | 195.95/49.47 \ - - - 0A / \ - - - 0A / 195.95/49.47 [3, 2] ->= [4, 5, 6] 195.95/49.47 lhs rhs ge gt 195.95/49.47 Wk / - - - 4A \ Wk / - - - 4A \ True False 195.95/49.47 | - - - - | | - - - - | 195.95/49.47 | - - - 7A | | - - - 7A | 195.95/49.47 \ - - - 0A / \ - - - 0A / 195.95/49.47 [4] ->= [3, 0, 0] 195.95/49.47 lhs rhs ge gt 195.95/49.47 Wk / - - - 4A \ Wk / - - - 4A \ True False 195.95/49.47 | - - - - | | - - - - | 195.95/49.47 | - - - 7A | | - - - 7A | 195.95/49.47 \ - - - 0A / \ - - - 0A / 195.95/49.47 [5, 6] ->= [5, 2] 195.95/49.48 lhs rhs ge gt 195.95/49.48 Wk / 6A 7A 7A 7A \ Wk / 6A 6A 7A 6A \ True False 195.95/49.48 | 3A 4A 3A 4A | | 3A 3A 3A 3A | 195.95/49.48 | 6A 7A 7A 7A | | 6A 6A 7A 7A | 195.95/49.48 \ - - - 0A / \ - - - 0A / 195.95/49.48 [5, 2] ->= [2, 2] 195.95/49.48 lhs rhs ge gt 195.95/49.48 Wk / 6A 6A 7A 6A \ Wk / 1A 1A 2A 1A \ True True 195.95/49.48 | 3A 3A 3A 3A | | 2A 2A 2A 0A | 195.95/49.48 | 6A 6A 7A 7A | | 2A 2A 2A 1A | 195.95/49.48 \ - - - 0A / \ - - - 0A / 195.95/49.48 [6] ->= [2] 195.95/49.48 lhs rhs ge gt 195.95/49.48 Wk / 0A 1A 1A 2A \ Wk / - 1A 0A 0A \ True False 195.95/49.48 | 0A 0A 1A 1A | | - 0A 1A 0A | 195.95/49.48 | 1A 2A 1A 2A | | 1A 1A 1A - | 195.95/49.48 \ - - - 0A / \ - - - 0A / 195.95/49.48 property Termination 195.95/49.48 has value True 195.95/49.48 for SRS ( [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2]) 195.95/49.48 reason 195.95/49.48 EDG has 0 SCCs 195.95/49.48 195.95/49.48 property Termination 195.95/49.48 has value True 196.11/49.49 for SRS ( [8, 2] |-> [9, 5, 6], [9] |-> [8, 0, 0], [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2]) 196.11/49.49 reason 196.11/49.49 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 196.11/49.49 interpretation 196.11/49.49 0 Wk / - 0A - 0A \ 196.11/49.49 | - - 0A 0A | 196.11/49.49 | 0A - - 2A | 196.11/49.49 \ - - - 0A / 196.11/49.49 1 Wk / - - - 0A \ 196.11/49.49 | - - - 6A | 196.11/49.49 | - - - 2A | 196.11/49.49 \ - - - 0A / 196.11/49.49 2 Wk / 2A - 0A 2A \ 196.11/49.49 | 0A - - - | 196.11/49.49 | - 0A - - | 196.11/49.49 \ - - - 0A / 196.11/49.49 3 Wk / - - - 0A \ 196.11/49.49 | - - - - | 196.11/49.49 | - - - - | 196.11/49.49 \ - - - 0A / 196.11/49.49 4 Wk / - - - 0A \ 196.11/49.49 | - - - - | 196.11/49.49 | - - - - | 196.11/49.49 \ - - - 0A / 196.11/49.49 5 Wk / 4A 0A 3A - \ 196.11/49.49 | 0A 2A - 2A | 196.11/49.49 | - 0A - - | 196.11/49.49 \ - - - 0A / 196.11/49.49 6 Wk / 2A - 0A 2A \ 196.11/49.50 | 0A - - - | 196.11/49.50 | - 1A 0A 4A | 196.11/49.50 \ - - - 0A / 196.11/49.50 8 Wk / 5A - 4A - \ 196.11/49.50 | - - - - | 196.11/49.50 | - - - - | 196.11/49.50 \ - - - 0A / 196.11/49.50 9 Wk / 0A 5A 6A 7A \ 196.11/49.50 | - - - - | 196.11/49.50 | - - - - | 196.11/49.50 \ - - - 0A / 196.11/49.50 [8, 2] |-> [9, 5, 6] 196.11/49.50 lhs rhs ge gt 196.11/49.50 Wk / 7A 4A 5A 7A \ Wk / 7A 4A 5A 7A \ True False 196.11/49.50 | - - - - | | - - - - | 196.11/49.50 | - - - - | | - - - - | 196.11/49.50 \ - - - 0A / \ - - - 0A / 196.11/49.50 [9] |-> [8, 0, 0] 196.11/49.50 lhs rhs ge gt 196.11/49.50 Wk / 0A 5A 6A 7A \ Wk / - 4A 5A 6A \ True True 196.11/49.50 | - - - - | | - - - - | 196.11/49.50 | - - - - | | - - - - | 196.11/49.50 \ - - - 0A / \ - - - 0A / 196.11/49.50 [0, 1] ->= [2, 2, 1, 2, 2, 0] 196.11/49.51 lhs rhs ge gt 196.11/49.51 Wk / - - - 6A \ Wk / - - - 6A \ True False 196.11/49.51 | - - - 2A | | - - - 2A | 196.11/49.51 | - - - 2A | | - - - 0A | 196.11/49.51 \ - - - 0A / \ - - - 0A / 196.11/49.51 [0, 2, 1] ->= [1] 196.11/49.51 lhs rhs ge gt 196.11/49.51 Wk / - - - 0A \ Wk / - - - 0A \ True False 196.11/49.51 | - - - 6A | | - - - 6A | 196.11/49.51 | - - - 2A | | - - - 2A | 196.11/49.51 \ - - - 0A / \ - - - 0A / 196.11/49.51 [0, 2, 2] ->= [2, 0, 2] 196.11/49.52 lhs rhs ge gt 196.11/49.54 Wk / 2A - 0A 2A \ Wk / 2A - 0A 2A \ True False 196.11/49.54 | 0A - - 0A | | 0A - - 0A | 196.11/49.54 | 4A 0A 2A 4A | | - 0A - 0A | 196.11/49.54 \ - - - 0A / \ - - - 0A / 196.11/49.54 [3, 2] ->= [4, 5, 6] 196.11/49.54 lhs rhs ge gt 196.11/49.54 Wk / - - - 0A \ Wk / - - - 0A \ True False 196.11/49.54 | - - - - | | - - - - | 196.11/49.54 | - - - - | | - - - - | 196.11/49.54 \ - - - 0A / \ - - - 0A / 196.11/49.54 [4] ->= [3, 0, 0] 196.11/49.54 lhs rhs ge gt 196.11/49.54 Wk / - - - 0A \ Wk / - - - 0A \ True False 196.11/49.54 | - - - - | | - - - - | 196.11/49.54 | - - - - | | - - - - | 196.11/49.54 \ - - - 0A / \ - - - 0A / 196.11/49.54 [5, 6] ->= [5, 2] 196.35/49.56 lhs rhs ge gt 196.35/49.56 Wk / 6A 4A 4A 7A \ Wk / 6A 3A 4A 6A \ True False 196.35/49.56 | 2A - 0A 2A | | 2A - 0A 2A | 196.35/49.56 | 0A - - - | | 0A - - - | 196.35/49.56 \ - - - 0A / \ - - - 0A / 196.35/49.56 [5, 2] ->= [2, 2] 196.35/49.56 lhs rhs ge gt 196.35/49.56 Wk / 6A 3A 4A 6A \ Wk / 4A 0A 2A 4A \ True False 196.35/49.56 | 2A - 0A 2A | | 2A - 0A 2A | 196.35/49.56 | 0A - - - | | 0A - - - | 196.35/49.56 \ - - - 0A / \ - - - 0A / 196.35/49.56 [6] ->= [2] 196.35/49.56 lhs rhs ge gt 196.35/49.56 Wk / 2A - 0A 2A \ Wk / 2A - 0A 2A \ True False 196.35/49.56 | 0A - - - | | 0A - - - | 196.35/49.56 | - 1A 0A 4A | | - 0A - - | 196.35/49.56 \ - - - 0A / \ - - - 0A / 196.35/49.56 property Termination 196.35/49.56 has value True 196.35/49.56 for SRS ( [8, 2] |-> [9, 5, 6], [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2]) 196.35/49.56 reason 196.35/49.56 weights 196.35/49.56 Map [(8, 1/1)] 196.35/49.56 196.35/49.56 property Termination 196.35/49.56 has value True 196.43/49.59 for SRS ( [0, 1] ->= [2, 2, 1, 2, 2, 0], [0, 2, 1] ->= [1], [0, 2, 2] ->= [2, 0, 2], [3, 2] ->= [4, 5, 6], [4] ->= [3, 0, 0], [5, 6] ->= [5, 2], [5, 2] ->= [2, 2], [6] ->= [2]) 196.43/49.59 reason 196.43/49.59 EDG has 0 SCCs 196.43/49.59 196.43/49.59 ************************************************** 196.43/49.59 summary 196.43/49.59 ************************************************** 196.43/49.59 SRS with 8 rules on 7 letters Remap { tracing = False} 196.43/49.59 SRS with 8 rules on 7 letters DP transform 196.43/49.59 SRS with 17 rules on 12 letters Remap { tracing = False} 196.43/49.59 SRS with 17 rules on 12 letters weights 196.43/49.59 SRS with 12 rules on 11 letters EDG 196.43/49.59 2 sub-proofs 196.43/49.59 1 SRS with 9 rules on 8 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 196.43/49.59 SRS with 8 rules on 7 letters EDG 196.43/49.59 196.43/49.59 2 SRS with 10 rules on 9 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 196.43/49.59 SRS with 9 rules on 9 letters weights 196.43/49.59 SRS with 8 rules on 7 letters EDG 196.43/49.59 196.43/49.59 ************************************************** 196.43/49.59 (8, 7)\Deepee(17, 12)\Weight(12, 11)\EDG[(9, 8)\Matrix{\Arctic}{4}(8, 7)\EDG[],(10, 9)\Matrix{\Arctic}{4}(9, 9)\Weight(8, 7)\EDG[]] 196.43/49.59 ************************************************** 197.52/49.87 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]} 197.52/49.87 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 199.55/50.38 EOF