71.38/18.04 YES 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [a, a, b] -> [b, b, a, a], [b, a, b] -> [a, a, a, a]) 71.38/18.04 reason 71.38/18.04 remap for 2 rules 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [0, 0, 1] -> [1, 1, 0, 0], [1, 0, 1] -> [0, 0, 0, 0]) 71.38/18.04 reason 71.38/18.04 reverse each lhs and rhs 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [1, 0, 0] -> [0, 0, 1, 1], [1, 0, 1] -> [0, 0, 0, 0]) 71.38/18.04 reason 71.38/18.04 DP transform 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [1, 0, 0] ->= [0, 0, 1, 1], [1, 0, 1] ->= [0, 0, 0, 0], [1#, 0, 0] |-> [1#, 1], [1#, 0, 0] |-> [1#]) 71.38/18.04 reason 71.38/18.04 remap for 4 rules 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0] ->= [1, 1, 1, 1], [2, 1, 1] |-> [2, 0], [2, 1, 1] |-> [2]) 71.38/18.04 reason 71.38/18.04 EDG has 1 SCCs 71.38/18.04 property Termination 71.38/18.04 has value True 71.38/18.04 for SRS ( [2, 1, 1] |-> [2, 0], [2, 1, 1] |-> [2], [0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0] ->= [1, 1, 1, 1]) 71.38/18.04 reason 71.38/18.04 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.38/18.04 interpretation 71.38/18.04 0 Wk / 0A - - - \ 71.38/18.04 | 1A - - 0A | 71.38/18.04 | 5A 3A 0A 2A | 71.38/18.04 \ - - - 0A / 71.38/18.04 1 Wk / - - 0A 0A \ 71.38/18.04 | - - 1A - | 71.38/18.04 | 2A 0A - 0A | 71.38/18.04 \ - - - 0A / 71.38/18.05 2 Wk / 3A 0A 0A 0A \ 71.38/18.05 | - - - - | 71.38/18.05 | - - - - | 71.38/18.05 \ - - - 0A / 71.38/18.06 [2, 1, 1] |-> [2, 0] 71.38/18.08 lhs rhs ge gt 71.38/18.08 Wk / 5A 3A 2A 3A \ Wk / 5A 3A 0A 2A \ True False 71.38/18.08 | - - - - | | - - - - | 71.38/18.08 | - - - - | | - - - - | 71.38/18.08 \ - - - 0A / \ - - - 0A / 71.38/18.08 [2, 1, 1] |-> [2] 71.38/18.08 lhs rhs ge gt 71.38/18.08 Wk / 5A 3A 2A 3A \ Wk / 3A 0A 0A 0A \ True True 71.38/18.08 | - - - - | | - - - - | 71.38/18.08 | - - - - | | - - - - | 71.38/18.08 \ - - - 0A / \ - - - 0A / 71.38/18.08 [0, 1, 1] ->= [1, 1, 0, 0] 71.38/18.08 lhs rhs ge gt 71.38/18.08 Wk / 2A 0A - 0A \ Wk / 2A - - 0A \ True False 71.38/18.08 | 3A 1A - 1A | | 3A - - 1A | 71.38/18.08 | 7A 5A 2A 5A | | 7A 5A 2A 5A | 71.38/18.08 \ - - - 0A / \ - - - 0A / 71.38/18.08 [0, 1, 0] ->= [1, 1, 1, 1] 71.38/18.09 lhs rhs ge gt 71.38/18.09 Wk / 5A 3A 0A 2A \ Wk / 4A 2A - 2A \ True False 71.38/18.09 | 6A 4A 1A 3A | | 5A 3A - 3A | 71.38/18.09 | 10A 8A 5A 7A | | - - 4A 4A | 71.38/18.09 \ - - - 0A / \ - - - 0A / 71.38/18.09 property Termination 71.38/18.09 has value True 71.38/18.09 for SRS ( [2, 1, 1] |-> [2, 0], [0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0] ->= [1, 1, 1, 1]) 71.38/18.10 reason 71.38/18.10 EDG has 1 SCCs 71.38/18.10 property Termination 71.38/18.10 has value True 71.38/18.10 for SRS ( [2, 1, 1] |-> [2, 0], [0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0] ->= [1, 1, 1, 1]) 71.38/18.10 reason 71.38/18.10 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.38/18.10 interpretation 71.38/18.10 0 Wk / 0A - - 0A \ 71.38/18.10 | 2A 0A 3A 2A | 71.38/18.10 | 3A - 0A 2A | 71.38/18.10 \ - - - 0A / 71.38/18.10 1 Wk / - - 0A 1A \ 71.38/18.10 | 0A - - 3A | 71.38/18.10 | 1A - - 1A | 71.38/18.10 \ - - - 0A / 71.38/18.10 2 Wk / 3A - 0A 3A \ 71.38/18.11 | - - - - | 71.38/18.11 | - - - - | 71.38/18.11 \ - - - 0A / 71.38/18.11 [2, 1, 1] |-> [2, 0] 71.38/18.11 lhs rhs ge gt 71.38/18.11 Wk / 4A - 1A 4A \ Wk / 3A - 0A 3A \ True True 71.38/18.11 | - - - - | | - - - - | 71.38/18.11 | - - - - | | - - - - | 71.38/18.11 \ - - - 0A / \ - - - 0A / 71.38/18.11 [0, 1, 1] ->= [1, 1, 0, 0] 71.38/18.11 lhs rhs ge gt 71.38/18.11 Wk / 1A - - 1A \ Wk / 1A - - 1A \ True False 71.38/18.11 | 3A - 4A 5A | | 3A - 0A 3A | 71.38/18.11 | 4A - 1A 4A | | 4A - 1A 4A | 71.38/18.11 \ - - - 0A / \ - - - 0A / 71.38/18.11 [0, 1, 0] ->= [1, 1, 1, 1] 71.38/18.11 lhs rhs ge gt 71.38/18.11 Wk / 3A - 0A 2A \ Wk / 2A - - 2A \ True False 71.38/18.11 | 5A - 2A 4A | | - - 1A 3A | 71.38/18.11 | 6A - 3A 5A | | - - 2A 3A | 71.38/18.11 \ - - - 0A / \ - - - 0A / 71.38/18.11 property Termination 71.38/18.11 has value True 71.38/18.11 for SRS ( [0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0] ->= [1, 1, 1, 1]) 71.38/18.11 reason 71.38/18.11 EDG has 0 SCCs 71.38/18.11 71.38/18.11 ************************************************** 71.38/18.11 summary 71.38/18.11 ************************************************** 71.38/18.11 SRS with 2 rules on 2 letters Remap { tracing = False} 71.38/18.11 SRS with 2 rules on 2 letters reverse each lhs and rhs 71.38/18.11 SRS with 2 rules on 2 letters DP transform 71.38/18.11 SRS with 4 rules on 3 letters Remap { tracing = False} 71.38/18.11 SRS with 4 rules on 3 letters EDG 71.38/18.12 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.38/18.12 SRS with 3 rules on 3 letters EDG 71.38/18.12 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 71.38/18.12 SRS with 2 rules on 2 letters EDG 71.38/18.12 71.38/18.12 ************************************************** 71.69/18.13 (2, 2)\Deepee(4, 3)\Matrix{\Arctic}{4}(3, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 71.69/18.13 ************************************************** 71.91/18.22 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]} 71.91/18.22 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 72.17/18.39 EOF