29.81/7.55 YES 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [a] -> [], [a, a] -> [a, b], [b] -> [], [c, b] -> [a, b, c, c]) 29.81/7.55 reason 29.81/7.55 remap for 4 rules 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [0] -> [], [0, 0] -> [0, 1], [1] -> [], [2, 1] -> [0, 1, 2, 2]) 29.81/7.55 reason 29.81/7.55 DP transform 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2], [0#, 0] |-> [0#, 1], [0#, 0] |-> [1#], [2#, 1] |-> [0#, 1, 2, 2], [2#, 1] |-> [1#, 2, 2], [2#, 1] |-> [2#, 2], [2#, 1] |-> [2#]) 29.81/7.55 reason 29.81/7.55 remap for 10 rules 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2], [3, 0] |-> [3, 1], [3, 0] |-> [4], [5, 1] |-> [3, 1, 2, 2], [5, 1] |-> [4, 2, 2], [5, 1] |-> [5, 2], [5, 1] |-> [5]) 29.81/7.55 reason 29.81/7.55 weights 29.81/7.55 Map [(3, 1/1), (5, 2/1)] 29.81/7.55 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2], [3, 0] |-> [3, 1], [5, 1] |-> [5, 2], [5, 1] |-> [5]) 29.81/7.55 reason 29.81/7.55 EDG has 2 SCCs 29.81/7.55 property Termination 29.81/7.55 has value True 29.81/7.55 for SRS ( [3, 0] |-> [3, 1], [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2]) 29.81/7.55 reason 29.81/7.55 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 29.81/7.55 interpretation 29.81/7.56 0 Wk / 1A 0A 0A - \ 29.81/7.56 | 0A 0A 0A 4A | 29.81/7.56 | 4A 3A 3A 4A | 29.81/7.56 \ - - - 0A / 29.81/7.56 1 Wk / 0A - - - \ 29.81/7.56 | 0A 3A - 4A | 29.81/7.56 | - 3A 0A - | 29.81/7.56 \ - - - 0A / 29.81/7.56 2 Wk / - 2A - 0A \ 29.81/7.56 | - 0A - 0A | 29.81/7.56 | 0A 3A - 4A | 29.81/7.56 \ - - - 0A / 29.81/7.56 3 Wk / 6A - 0A 2A \ 29.81/7.56 | - - - - | 29.81/7.56 | - - - - | 29.81/7.56 \ - - - 0A / 29.81/7.56 [3, 0] |-> [3, 1] 29.81/7.56 lhs rhs ge gt 29.81/7.56 Wk / 7A 6A 6A 4A \ Wk / 6A 3A 0A 2A \ True True 29.81/7.56 | - - - - | | - - - - | 29.81/7.56 | - - - - | | - - - - | 29.81/7.56 \ - - - 0A / \ - - - 0A / 29.81/7.56 [0] ->= [] 29.81/7.57 lhs rhs ge gt 29.81/7.57 Wk / 1A 0A 0A - \ Wk / 0A - - - \ True False 29.81/7.57 | 0A 0A 0A 4A | | - 0A - - | 29.81/7.57 | 4A 3A 3A 4A | | - - 0A - | 29.81/7.57 \ - - - 0A / \ - - - 0A / 29.81/7.57 [0, 0] ->= [0, 1] 29.81/7.57 lhs rhs ge gt 29.81/7.57 Wk / 4A 3A 3A 4A \ Wk / 1A 3A 0A 4A \ True False 29.81/7.57 | 4A 3A 3A 4A | | 0A 3A 0A 4A | 29.81/7.57 | 7A 6A 6A 7A | | 4A 6A 3A 7A | 29.81/7.57 \ - - - 0A / \ - - - 0A / 29.81/7.57 [1] ->= [] 29.81/7.57 lhs rhs ge gt 29.81/7.57 Wk / 0A - - - \ Wk / 0A - - - \ True False 29.81/7.57 | 0A 3A - 4A | | - 0A - - | 29.81/7.57 | - 3A 0A - | | - - 0A - | 29.81/7.57 \ - - - 0A / \ - - - 0A / 29.81/7.57 [2, 1] ->= [0, 1, 2, 2] 29.81/7.60 lhs rhs ge gt 29.81/7.61 Wk / 2A 5A - 6A \ Wk / - 3A - 4A \ True False 29.81/7.61 | 0A 3A - 4A | | - 3A - 4A | 29.81/7.61 | 3A 6A - 7A | | - 6A - 7A | 29.81/7.61 \ - - - 0A / \ - - - 0A / 29.81/7.61 property Termination 29.81/7.61 has value True 29.81/7.61 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2]) 29.81/7.61 reason 29.81/7.61 EDG has 0 SCCs 29.81/7.61 29.81/7.61 property Termination 29.81/7.61 has value True 29.81/7.61 for SRS ( [5, 1] |-> [5, 2], [5, 1] |-> [5], [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2]) 29.81/7.61 reason 29.81/7.61 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 29.81/7.61 interpretation 29.81/7.61 0 / 0A 2A \ 29.81/7.61 \ 0A 2A / 29.81/7.61 1 / 2A 2A \ 29.81/7.61 \ 0A 0A / 29.81/7.61 2 / 0A 0A \ 29.81/7.61 \ 0A 0A / 29.81/7.61 5 / 20A 21A \ 29.81/7.61 \ 20A 21A / 29.81/7.61 [5, 1] |-> [5, 2] 29.81/7.61 lhs rhs ge gt 29.81/7.61 / 22A 22A \ / 21A 21A \ True True 29.81/7.61 \ 22A 22A / \ 21A 21A / 29.81/7.61 [5, 1] |-> [5] 29.81/7.61 lhs rhs ge gt 30.09/7.61 / 22A 22A \ / 20A 21A \ True True 30.09/7.61 \ 22A 22A / \ 20A 21A / 30.09/7.61 [0] ->= [] 30.09/7.61 lhs rhs ge gt 30.09/7.61 / 0A 2A \ / 0A - \ True False 30.09/7.61 \ 0A 2A / \ - 0A / 30.09/7.61 [0, 0] ->= [0, 1] 30.09/7.61 lhs rhs ge gt 30.09/7.61 / 2A 4A \ / 2A 2A \ True False 30.09/7.61 \ 2A 4A / \ 2A 2A / 30.09/7.61 [1] ->= [] 30.09/7.61 lhs rhs ge gt 30.09/7.61 / 2A 2A \ / 0A - \ True False 30.09/7.61 \ 0A 0A / \ - 0A / 30.09/7.61 [2, 1] ->= [0, 1, 2, 2] 30.09/7.61 lhs rhs ge gt 30.09/7.61 / 2A 2A \ / 2A 2A \ True False 30.09/7.61 \ 2A 2A / \ 2A 2A / 30.09/7.61 property Termination 30.09/7.61 has value True 30.09/7.61 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [0, 1, 2, 2]) 30.09/7.61 reason 30.09/7.61 EDG has 0 SCCs 30.09/7.61 30.09/7.61 ************************************************** 30.09/7.61 summary 30.09/7.61 ************************************************** 30.09/7.61 SRS with 4 rules on 3 letters Remap { tracing = False} 30.09/7.61 SRS with 4 rules on 3 letters DP transform 30.09/7.61 SRS with 10 rules on 6 letters Remap { tracing = False} 30.09/7.61 SRS with 10 rules on 6 letters weights 30.09/7.61 SRS with 7 rules on 5 letters EDG 30.09/7.61 2 sub-proofs 30.09/7.61 1 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 30.09/7.61 SRS with 4 rules on 3 letters EDG 30.09/7.61 30.09/7.61 2 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 30.09/7.61 SRS with 4 rules on 3 letters EDG 30.09/7.61 30.09/7.61 ************************************************** 30.09/7.61 (4, 3)\Deepee(10, 6)\Weight(7, 5)\EDG[(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[],(6, 4)\Matrix{\Arctic}{2}(4, 3)\EDG[]] 30.09/7.61 ************************************************** 30.09/7.63 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]} 30.09/7.63 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 30.24/7.73 EOF