44.76/11.32 YES 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.32 for SRS ( [a, a] -> [b, b, b, c], [b, c, b] -> [a, b, c]) 44.76/11.32 reason 44.76/11.32 remap for 2 rules 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.32 for SRS ( [0, 0] -> [1, 1, 1, 2], [1, 2, 1] -> [0, 1, 2]) 44.76/11.32 reason 44.76/11.32 DP transform 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.32 for SRS ( [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2], [0#, 0] |-> [1#, 1, 1, 2], [0#, 0] |-> [1#, 1, 2], [0#, 0] |-> [1#, 2], [1#, 2, 1] |-> [0#, 1, 2], [1#, 2, 1] |-> [1#, 2]) 44.76/11.32 reason 44.76/11.32 remap for 7 rules 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.32 for SRS ( [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2], [3, 0] |-> [4, 1, 1, 2], [3, 0] |-> [4, 1, 2], [3, 0] |-> [4, 2], [4, 2, 1] |-> [3, 1, 2], [4, 2, 1] |-> [4, 2]) 44.76/11.32 reason 44.76/11.32 EDG has 1 SCCs 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.32 for SRS ( [3, 0] |-> [4, 1, 1, 2], [4, 2, 1] |-> [4, 2], [4, 2, 1] |-> [3, 1, 2], [3, 0] |-> [4, 2], [3, 0] |-> [4, 1, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.32 reason 44.76/11.32 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.32 interpretation 44.76/11.32 0 / 0A 0A \ 44.76/11.32 \ -2A 0A / 44.76/11.32 1 / 0A 0A \ 44.76/11.32 \ -2A -2A / 44.76/11.32 2 / 0A 0A \ 44.76/11.32 \ 0A 0A / 44.76/11.32 3 / 20A 20A \ 44.76/11.32 \ 20A 20A / 44.76/11.32 4 / 19A 20A \ 44.76/11.32 \ 19A 20A / 44.76/11.32 [3, 0] |-> [4, 1, 1, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 20A 20A \ / 19A 19A \ True True 44.76/11.32 \ 20A 20A / \ 19A 19A / 44.76/11.32 [4, 2, 1] |-> [4, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 20A 20A \ / 20A 20A \ True False 44.76/11.32 \ 20A 20A / \ 20A 20A / 44.76/11.32 [4, 2, 1] |-> [3, 1, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 20A 20A \ / 20A 20A \ True False 44.76/11.32 \ 20A 20A / \ 20A 20A / 44.76/11.32 [3, 0] |-> [4, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 20A 20A \ / 20A 20A \ True False 44.76/11.32 \ 20A 20A / \ 20A 20A / 44.76/11.32 [3, 0] |-> [4, 1, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 20A 20A \ / 19A 19A \ True True 44.76/11.32 \ 20A 20A / \ 19A 19A / 44.76/11.32 [0, 0] ->= [1, 1, 1, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 0A 0A \ / 0A 0A \ True False 44.76/11.32 \ -2A 0A / \ -2A -2A / 44.76/11.32 [1, 2, 1] ->= [0, 1, 2] 44.76/11.32 lhs rhs ge gt 44.76/11.32 / 0A 0A \ / 0A 0A \ True False 44.76/11.32 \ -2A -2A / \ -2A -2A / 44.76/11.32 property Termination 44.76/11.32 has value True 44.76/11.33 for SRS ( [4, 2, 1] |-> [4, 2], [4, 2, 1] |-> [3, 1, 2], [3, 0] |-> [4, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.33 reason 44.76/11.33 EDG has 1 SCCs 44.76/11.33 property Termination 44.76/11.33 has value True 44.76/11.33 for SRS ( [4, 2, 1] |-> [4, 2], [4, 2, 1] |-> [3, 1, 2], [3, 0] |-> [4, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.33 reason 44.76/11.33 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.33 interpretation 44.76/11.33 0 / 0A 0A 0A 5A 5A \ 44.76/11.33 | 0A 0A 0A 5A 5A | 44.76/11.33 | 0A 0A 0A 5A 5A | 44.76/11.33 | 0A 0A 0A 0A 5A | 44.76/11.33 \ -5A -5A -5A 0A 0A / 44.76/11.33 1 / 0A 0A 0A 0A 5A \ 44.76/11.33 | 0A 0A 0A 0A 5A | 44.76/11.33 | 0A 0A 0A 0A 5A | 44.76/11.33 | -5A 0A 0A 0A 0A | 44.76/11.33 \ -5A -5A 0A 0A 0A / 44.76/11.33 2 / 0A 0A 0A 0A 0A \ 44.76/11.33 | -5A -5A 0A 0A 0A | 44.76/11.33 | -5A -5A -5A -5A 0A | 44.76/11.33 | -5A -5A -5A -5A 0A | 44.76/11.33 \ -5A -5A -5A -5A 0A / 44.76/11.33 3 / 1A 1A 1A 2A 3A \ 44.76/11.33 | 1A 1A 1A 2A 3A | 44.76/11.33 | 1A 1A 1A 2A 3A | 44.76/11.33 | 1A 1A 1A 2A 3A | 44.76/11.33 \ 1A 1A 1A 2A 3A / 44.76/11.33 4 / 1A 1A 1A 1A 3A \ 44.76/11.33 | 1A 1A 1A 1A 3A | 44.76/11.33 | 1A 1A 1A 1A 3A | 44.76/11.33 | 1A 1A 1A 1A 3A | 44.76/11.33 \ 1A 1A 1A 1A 3A / 44.76/11.33 [4, 2, 1] |-> [4, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 1A 1A 3A 3A 6A \ / 1A 1A 1A 1A 3A \ True False 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 1A 1A 3A | 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 1A 1A 3A | 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 1A 1A 3A | 44.76/11.33 \ 1A 1A 3A 3A 6A / \ 1A 1A 1A 1A 3A / 44.76/11.33 [4, 2, 1] |-> [3, 1, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 1A 1A 3A 3A 6A \ / 1A 1A 2A 2A 6A \ True False 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 2A 2A 6A | 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 2A 2A 6A | 44.76/11.33 | 1A 1A 3A 3A 6A | | 1A 1A 2A 2A 6A | 44.76/11.33 \ 1A 1A 3A 3A 6A / \ 1A 1A 2A 2A 6A / 44.76/11.33 [3, 0] |-> [4, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 2A 2A 2A 6A 7A \ / 1A 1A 1A 1A 3A \ True True 44.76/11.33 | 2A 2A 2A 6A 7A | | 1A 1A 1A 1A 3A | 44.76/11.33 | 2A 2A 2A 6A 7A | | 1A 1A 1A 1A 3A | 44.76/11.33 | 2A 2A 2A 6A 7A | | 1A 1A 1A 1A 3A | 44.76/11.33 \ 2A 2A 2A 6A 7A / \ 1A 1A 1A 1A 3A / 44.76/11.33 [0, 0] ->= [1, 1, 1, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 5A 5A 5A 5A 10A \ / 5A 5A 5A 5A 10A \ True False 44.76/11.33 | 5A 5A 5A 5A 10A | | 5A 5A 5A 5A 10A | 44.76/11.33 | 5A 5A 5A 5A 10A | | 5A 5A 5A 5A 10A | 44.76/11.33 | 0A 0A 0A 5A 5A | | 0A 0A 0A 0A 5A | 44.76/11.33 \ 0A 0A 0A 0A 5A / \ 0A 0A 0A 0A 5A / 44.76/11.33 [1, 2, 1] ->= [0, 1, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 0A 0A 5A 5A 5A \ / 0A 0A 5A 5A 5A \ True False 44.76/11.33 | 0A 0A 5A 5A 5A | | 0A 0A 5A 5A 5A | 44.76/11.33 | 0A 0A 5A 5A 5A | | 0A 0A 5A 5A 5A | 44.76/11.33 | 0A 0A 0A 0A 5A | | 0A 0A 0A 0A 5A | 44.76/11.33 \ -5A -5A 0A 0A 0A / \ -5A -5A 0A 0A 0A / 44.76/11.33 property Termination 44.76/11.33 has value True 44.76/11.33 for SRS ( [4, 2, 1] |-> [4, 2], [4, 2, 1] |-> [3, 1, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.33 reason 44.76/11.33 weights 44.76/11.33 Map [(4, 1/1)] 44.76/11.33 44.76/11.33 property Termination 44.76/11.33 has value True 44.76/11.33 for SRS ( [4, 2, 1] |-> [4, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.33 reason 44.76/11.33 EDG has 1 SCCs 44.76/11.33 property Termination 44.76/11.33 has value True 44.76/11.33 for SRS ( [4, 2, 1] |-> [4, 2], [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.33 reason 44.76/11.33 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.33 interpretation 44.76/11.33 0 / 0A 0A 0A 5A 5A \ 44.76/11.33 | 0A 0A 0A 5A 5A | 44.76/11.33 | 0A 0A 0A 5A 5A | 44.76/11.33 | 0A 0A 0A 0A 5A | 44.76/11.33 \ -5A -5A -5A 0A 0A / 44.76/11.33 1 / 0A 0A 5A 5A 5A \ 44.76/11.33 | 0A 0A 0A 0A 5A | 44.76/11.33 | 0A 0A 0A 0A 0A | 44.76/11.33 | -5A 0A 0A 0A 0A | 44.76/11.33 \ -5A -5A 0A 0A 0A / 44.76/11.33 2 / 0A 0A 0A 0A 0A \ 44.76/11.33 | -5A -5A 0A 0A 0A | 44.76/11.33 | -5A -5A -5A -5A -5A | 44.76/11.33 | -5A -5A -5A -5A -5A | 44.76/11.33 \ -5A -5A -5A -5A -5A / 44.76/11.33 4 / 61A 62A 66A 66A 66A \ 44.76/11.33 | 61A 62A 66A 66A 66A | 44.76/11.33 | 61A 62A 66A 66A 66A | 44.76/11.33 | 61A 62A 66A 66A 66A | 44.76/11.33 \ 61A 62A 66A 66A 66A / 44.76/11.33 [4, 2, 1] |-> [4, 2] 44.76/11.33 lhs rhs ge gt 44.76/11.33 / 62A 62A 66A 66A 66A \ / 61A 61A 62A 62A 62A \ True True 44.76/11.33 | 62A 62A 66A 66A 66A | | 61A 61A 62A 62A 62A | 44.76/11.33 | 62A 62A 66A 66A 66A | | 61A 61A 62A 62A 62A | 44.76/11.33 | 62A 62A 66A 66A 66A | | 61A 61A 62A 62A 62A | 44.76/11.33 \ 62A 62A 66A 66A 66A / \ 61A 61A 62A 62A 62A / 44.76/11.34 [0, 0] ->= [1, 1, 1, 2] 44.76/11.34 lhs rhs ge gt 44.76/11.34 / 5A 5A 5A 5A 10A \ / 5A 5A 5A 5A 5A \ True False 44.76/11.34 | 5A 5A 5A 5A 10A | | 5A 5A 5A 5A 5A | 44.76/11.34 | 5A 5A 5A 5A 10A | | 5A 5A 5A 5A 5A | 44.76/11.34 | 0A 0A 0A 5A 5A | | 0A 0A 0A 0A 0A | 44.76/11.34 \ 0A 0A 0A 0A 5A / \ 0A 0A 0A 0A 0A / 44.76/11.34 [1, 2, 1] ->= [0, 1, 2] 44.76/11.34 lhs rhs ge gt 44.76/11.34 / 0A 0A 5A 5A 5A \ / 0A 0A 5A 5A 5A \ True False 44.76/11.34 | 0A 0A 5A 5A 5A | | 0A 0A 5A 5A 5A | 44.76/11.34 | 0A 0A 5A 5A 5A | | 0A 0A 5A 5A 5A | 44.76/11.34 | 0A 0A 0A 0A 0A | | 0A 0A 0A 0A 0A | 44.76/11.34 \ -5A -5A 0A 0A 0A / \ -5A -5A 0A 0A 0A / 44.76/11.34 property Termination 44.76/11.34 has value True 44.76/11.34 for SRS ( [0, 0] ->= [1, 1, 1, 2], [1, 2, 1] ->= [0, 1, 2]) 44.76/11.34 reason 44.76/11.34 EDG has 0 SCCs 44.76/11.34 44.76/11.34 ************************************************** 44.76/11.34 summary 44.76/11.34 ************************************************** 44.76/11.34 SRS with 2 rules on 3 letters Remap { tracing = False} 44.76/11.34 SRS with 2 rules on 3 letters DP transform 44.76/11.34 SRS with 7 rules on 5 letters Remap { tracing = False} 44.76/11.34 SRS with 7 rules on 5 letters EDG 44.76/11.34 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.34 SRS with 5 rules on 5 letters EDG 44.76/11.34 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.34 SRS with 4 rules on 5 letters weights 44.76/11.34 SRS with 3 rules on 4 letters EDG 44.76/11.34 SRS with 3 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 44.76/11.34 SRS with 2 rules on 3 letters EDG 44.76/11.34 44.76/11.34 ************************************************** 44.76/11.34 (2, 3)\Deepee(7, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{5}(4, 5)\Weight(3, 4)\Matrix{\Arctic}{5}(2, 3)\EDG[] 44.76/11.34 ************************************************** 44.89/11.41 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]} 44.89/11.41 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 45.24/11.49 EOF