215.86/54.51 YES 215.86/54.51 property Termination 215.86/54.51 has value True 215.86/54.51 for SRS ( [a, b] -> [], [a, c] -> [c, c, b, a], [b, c] -> [a, b]) 215.86/54.51 reason 215.86/54.51 remap for 3 rules 215.86/54.51 property Termination 215.86/54.51 has value True 215.86/54.51 for SRS ( [0, 1] -> [], [0, 2] -> [2, 2, 1, 0], [1, 2] -> [0, 1]) 215.86/54.51 reason 215.86/54.52 DP transform 215.86/54.52 property Termination 215.86/54.52 has value True 215.86/54.52 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1], [0#, 2] |-> [1#, 0], [0#, 2] |-> [0#], [1#, 2] |-> [0#, 1], [1#, 2] |-> [1#]) 215.86/54.52 reason 215.86/54.52 remap for 7 rules 215.86/54.52 property Termination 215.86/54.52 has value True 215.86/54.52 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1], [3, 2] |-> [4, 0], [3, 2] |-> [3], [4, 2] |-> [3, 1], [4, 2] |-> [4]) 215.86/54.52 reason 215.86/54.52 EDG has 1 SCCs 215.86/54.52 property Termination 215.86/54.52 has value True 215.86/54.52 for SRS ( [3, 2] |-> [4, 0], [4, 2] |-> [4], [4, 2] |-> [3, 1], [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.52 reason 215.86/54.52 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.52 interpretation 215.86/54.52 0 Wk / - 0A - 0A \ 215.86/54.52 | - - 0A 2A | 215.86/54.52 | 0A - 2A 1A | 215.86/54.52 \ - - - 0A / 215.86/54.52 1 Wk / - - 0A 2A \ 215.86/54.52 | 0A - - - | 215.86/54.52 | - 0A - 0A | 215.86/54.52 \ - - - 0A / 215.86/54.52 2 Wk / - 0A - 2A \ 215.86/54.52 | - 2A 0A 2A | 215.86/54.52 | 0A 4A 2A 4A | 215.86/54.52 \ - - - 0A / 215.86/54.52 3 Wk / - - 1A 4A \ 215.86/54.52 | - - 3A 7A | 215.86/54.52 | - - - - | 215.86/54.52 \ - - - 0A / 215.86/54.52 4 Wk / 0A 2A 1A - \ 215.86/54.52 | - 5A - 6A | 215.86/54.52 | - - - - | 215.86/54.52 \ - - - 0A / 215.86/54.52 [3, 2] |-> [4, 0] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 1A 5A 3A 5A \ Wk / 1A 0A 3A 4A \ True False 215.86/54.52 | 3A 7A 5A 7A | | - - 5A 7A | 215.86/54.52 | - - - - | | - - - - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [4, 2] |-> [4] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 1A 5A 3A 5A \ Wk / 0A 2A 1A - \ True True 215.86/54.52 | - 7A 5A 7A | | - 5A - 6A | 215.86/54.52 | - - - - | | - - - - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [4, 2] |-> [3, 1] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 1A 5A 3A 5A \ Wk / - 1A - 4A \ True False 215.86/54.52 | - 7A 5A 7A | | - 3A - 7A | 215.86/54.52 | - - - - | | - - - - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [3, 2] |-> [3] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 1A 5A 3A 5A \ Wk / - - 1A 4A \ True False 215.86/54.52 | 3A 7A 5A 7A | | - - 3A 7A | 215.86/54.52 | - - - - | | - - - - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [0, 1] ->= [] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 215.86/54.52 | - 0A - 2A | | - 0A - - | 215.86/54.52 | - 2A 0A 2A | | - - 0A - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [0, 2] ->= [2, 2, 1, 0] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / - 2A 0A 2A \ Wk / - 2A 0A 2A \ True False 215.86/54.52 | 0A 4A 2A 4A | | 0A 4A 2A 4A | 215.86/54.52 | 2A 6A 4A 6A | | 2A 6A 4A 6A | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [1, 2] ->= [0, 1] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 0A 4A 2A 4A \ Wk / 0A - - 0A \ True False 215.86/54.52 | - 0A - 2A | | - 0A - 2A | 215.86/54.52 | - 2A 0A 2A | | - 2A 0A 2A | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 property Termination 215.86/54.52 has value True 215.86/54.52 for SRS ( [3, 2] |-> [4, 0], [4, 2] |-> [3, 1], [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.52 reason 215.86/54.52 EDG has 1 SCCs 215.86/54.52 property Termination 215.86/54.52 has value True 215.86/54.52 for SRS ( [3, 2] |-> [4, 0], [4, 2] |-> [3, 1], [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.52 reason 215.86/54.52 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.52 interpretation 215.86/54.52 0 Wk / 2A 0A - - \ 215.86/54.52 | - - 0A - | 215.86/54.52 | 0A - - 0A | 215.86/54.52 \ - - - 0A / 215.86/54.52 1 Wk / - - 0A 0A \ 215.86/54.52 | 0A - - - | 215.86/54.52 | - 0A - - | 215.86/54.52 \ - - - 0A / 215.86/54.52 2 Wk / 2A 0A 4A 5A \ 215.86/54.52 | - - 0A 0A | 215.86/54.52 | 0A - 2A 3A | 215.86/54.52 \ - - - 0A / 215.86/54.52 3 Wk / 2A - - 3A \ 215.86/54.52 | - - - - | 215.86/54.52 | 3A 3A 0A - | 215.86/54.52 \ - - - 0A / 215.86/54.52 4 Wk / - - 1A 4A \ 215.86/54.52 | - - - - | 215.86/54.52 | 2A 7A - - | 215.86/54.52 \ - - - 0A / 215.86/54.52 [3, 2] |-> [4, 0] 215.86/54.52 lhs rhs ge gt 215.86/54.52 Wk / 4A 2A 6A 7A \ Wk / 1A - - 4A \ True False 215.86/54.52 | - - - - | | - - - - | 215.86/54.52 | 5A 3A 7A 8A | | 4A 2A 7A - | 215.86/54.52 \ - - - 0A / \ - - - 0A / 215.86/54.52 [4, 2] |-> [3, 1] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 1A - 3A 4A \ Wk / - - 2A 3A \ True True 215.86/54.53 | - - - - | | - - - - | 215.86/54.53 | 4A 2A 7A 7A | | 3A 0A 3A 3A | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [3, 2] |-> [3] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 4A 2A 6A 7A \ Wk / 2A - - 3A \ True False 215.86/54.53 | - - - - | | - - - - | 215.86/54.53 | 5A 3A 7A 8A | | 3A 3A 0A - | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [0, 1] ->= [] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 0A - 2A 2A \ Wk / 0A - - - \ True False 215.86/54.53 | - 0A - - | | - 0A - - | 215.86/54.53 | - - 0A 0A | | - - 0A - | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [0, 2] ->= [2, 2, 1, 0] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 4A 2A 6A 7A \ Wk / 4A 2A 6A 7A \ True False 215.86/54.53 | 0A - 2A 3A | | 0A - 2A 3A | 215.86/54.53 | 2A 0A 4A 5A | | 2A 0A 4A 5A | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [1, 2] ->= [0, 1] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 0A - 2A 3A \ Wk / 0A - 2A 2A \ True False 215.86/54.53 | 2A 0A 4A 5A | | - 0A - - | 215.86/54.53 | - - 0A 0A | | - - 0A 0A | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 property Termination 215.86/54.53 has value True 215.86/54.53 for SRS ( [3, 2] |-> [4, 0], [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.53 reason 215.86/54.53 weights 215.86/54.53 Map [(3, 1/1)] 215.86/54.53 215.86/54.53 property Termination 215.86/54.53 has value True 215.86/54.53 for SRS ( [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.53 reason 215.86/54.53 EDG has 1 SCCs 215.86/54.53 property Termination 215.86/54.53 has value True 215.86/54.53 for SRS ( [3, 2] |-> [3], [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.53 reason 215.86/54.53 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.53 interpretation 215.86/54.53 0 Wk / 2A 0A - 3A \ 215.86/54.53 | - - 0A - | 215.86/54.53 | 0A - - 3A | 215.86/54.53 \ - - - 0A / 215.86/54.53 1 Wk / - - 0A 0A \ 215.86/54.53 | 0A - - - | 215.86/54.53 | - 0A - - | 215.86/54.53 \ - - - 0A / 215.86/54.53 2 Wk / 2A 0A 4A 5A \ 215.86/54.53 | - - 0A 3A | 215.86/54.53 | 0A - 2A 3A | 215.86/54.53 \ - - - 0A / 215.86/54.53 3 Wk / - - 2A 1A \ 215.86/54.53 | - - - - | 215.86/54.53 | - - - - | 215.86/54.53 \ - - - 0A / 215.86/54.53 [3, 2] |-> [3] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 2A - 4A 5A \ Wk / - - 2A 1A \ True True 215.86/54.53 | - - - - | | - - - - | 215.86/54.53 | - - - - | | - - - - | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [0, 1] ->= [] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 0A - 2A 3A \ Wk / 0A - - - \ True False 215.86/54.53 | - 0A - - | | - 0A - - | 215.86/54.53 | - - 0A 3A | | - - 0A - | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [0, 2] ->= [2, 2, 1, 0] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 4A 2A 6A 7A \ Wk / 4A 2A 6A 7A \ True False 215.86/54.53 | 0A - 2A 3A | | 0A - 2A 3A | 215.86/54.53 | 2A 0A 4A 5A | | 2A 0A 4A 5A | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 [1, 2] ->= [0, 1] 215.86/54.53 lhs rhs ge gt 215.86/54.53 Wk / 0A - 2A 3A \ Wk / 0A - 2A 3A \ True False 215.86/54.53 | 2A 0A 4A 5A | | - 0A - - | 215.86/54.53 | - - 0A 3A | | - - 0A 3A | 215.86/54.53 \ - - - 0A / \ - - - 0A / 215.86/54.53 property Termination 215.86/54.53 has value True 215.86/54.53 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 2, 1, 0], [1, 2] ->= [0, 1]) 215.86/54.53 reason 215.86/54.53 EDG has 0 SCCs 215.86/54.53 215.86/54.53 ************************************************** 215.86/54.53 summary 215.86/54.53 ************************************************** 215.86/54.53 SRS with 3 rules on 3 letters Remap { tracing = False} 215.86/54.53 SRS with 3 rules on 3 letters DP transform 215.86/54.53 SRS with 7 rules on 5 letters Remap { tracing = False} 215.86/54.53 SRS with 7 rules on 5 letters EDG 215.86/54.53 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.53 SRS with 6 rules on 5 letters EDG 215.86/54.53 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.53 SRS with 5 rules on 5 letters weights 215.86/54.53 SRS with 4 rules on 4 letters EDG 215.86/54.53 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 215.86/54.53 SRS with 3 rules on 3 letters EDG 215.86/54.53 215.86/54.53 ************************************************** 215.86/54.53 (3, 3)\Deepee(7, 5)\Matrix{\Arctic}{4}(6, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 215.86/54.53 ************************************************** 215.86/54.55 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]} 215.86/54.55 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 216.11/54.68 EOF