58.94/14.96 YES 59.28/14.96 property Termination 59.28/14.96 has value True 59.28/14.97 for SRS ( [a, b] -> [], [a, c] -> [b, b], [c, b] -> [a, a, c, c]) 59.28/14.97 reason 59.28/14.97 remap for 3 rules 59.28/14.97 property Termination 59.28/14.98 has value True 59.35/14.99 for SRS ( [0, 1] -> [], [0, 2] -> [1, 1], [2, 1] -> [0, 0, 2, 2]) 59.35/14.99 reason 59.35/14.99 DP transform 59.35/14.99 property Termination 59.35/14.99 has value True 59.35/15.00 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2], [2#, 1] |-> [0#, 0, 2, 2], [2#, 1] |-> [0#, 2, 2], [2#, 1] |-> [2#, 2], [2#, 1] |-> [2#]) 59.35/15.00 reason 59.35/15.00 remap for 7 rules 59.35/15.00 property Termination 59.35/15.00 has value True 59.35/15.01 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2], [3, 1] |-> [4, 0, 2, 2], [3, 1] |-> [4, 2, 2], [3, 1] |-> [3, 2], [3, 1] |-> [3]) 59.35/15.01 reason 59.35/15.01 weights 59.35/15.01 Map [(3, 2/1)] 59.35/15.01 59.35/15.01 property Termination 59.35/15.01 has value True 59.35/15.01 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2], [3, 1] |-> [3, 2], [3, 1] |-> [3]) 59.35/15.01 reason 59.35/15.01 EDG has 1 SCCs 59.35/15.01 property Termination 59.35/15.01 has value True 59.35/15.01 for SRS ( [3, 1] |-> [3, 2], [3, 1] |-> [3], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2]) 59.35/15.01 reason 59.35/15.01 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 59.35/15.02 interpretation 59.47/15.02 0 Wk / - 0A 5A 1A \ 59.47/15.02 | 0A - 6A 1A | 59.47/15.02 | - - 0A - | 59.47/15.02 \ - - - 0A / 59.47/15.02 1 Wk / 0A 0A 5A 1A \ 59.47/15.02 | 0A 1A 5A 0A | 59.47/15.02 | - - 0A - | 59.47/15.02 \ - - - 0A / 59.47/15.02 2 Wk / 1A 2A 3A 0A \ 59.47/15.02 | 0A 1A 1A 0A | 59.47/15.03 | - - 0A - | 59.47/15.03 \ - - - 0A / 59.47/15.03 3 Wk / 0A 1A - - \ 59.47/15.03 | - - - - | 59.47/15.03 | - - - - | 59.47/15.03 \ - - - 0A / 59.47/15.03 [3, 1] |-> [3, 2] 59.47/15.03 lhs rhs ge gt 59.47/15.03 Wk / 1A 2A 6A 1A \ Wk / 1A 2A 3A 1A \ True False 59.47/15.03 | - - - - | | - - - - | 59.47/15.03 | - - - - | | - - - - | 59.47/15.03 \ - - - 0A / \ - - - 0A / 59.47/15.03 [3, 1] |-> [3] 59.53/15.04 lhs rhs ge gt 59.53/15.04 Wk / 1A 2A 6A 1A \ Wk / 0A 1A - - \ True True 59.53/15.04 | - - - - | | - - - - | 59.53/15.04 | - - - - | | - - - - | 59.53/15.04 \ - - - 0A / \ - - - 0A / 59.53/15.04 [0, 1] ->= [] 59.53/15.05 lhs rhs ge gt 59.53/15.05 Wk / 0A 1A 5A 1A \ Wk / 0A - - - \ True False 59.53/15.05 | 0A 0A 6A 1A | | - 0A - - | 59.53/15.05 | - - 0A - | | - - 0A - | 59.53/15.05 \ - - - 0A / \ - - - 0A / 59.53/15.05 [0, 2] ->= [1, 1] 59.53/15.05 lhs rhs ge gt 59.53/15.05 Wk / 0A 1A 5A 1A \ Wk / 0A 1A 5A 1A \ True False 59.53/15.05 | 1A 2A 6A 1A | | 1A 2A 6A 1A | 59.53/15.05 | - - 0A - | | - - 0A - | 59.53/15.05 \ - - - 0A / \ - - - 0A / 59.53/15.05 [2, 1] ->= [0, 0, 2, 2] 59.53/15.05 lhs rhs ge gt 59.53/15.05 Wk / 2A 3A 7A 2A \ Wk / 2A 3A 6A 2A \ True False 59.53/15.05 | 1A 2A 6A 1A | | 1A 2A 6A 1A | 59.53/15.05 | - - 0A - | | - - 0A - | 59.53/15.05 \ - - - 0A / \ - - - 0A / 59.53/15.05 property Termination 59.53/15.05 has value True 59.53/15.07 for SRS ( [3, 1] |-> [3, 2], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2]) 59.53/15.07 reason 59.53/15.07 EDG has 1 SCCs 59.53/15.07 property Termination 59.53/15.07 has value True 59.53/15.07 for SRS ( [3, 1] |-> [3, 2], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2]) 59.53/15.07 reason 59.53/15.07 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 59.53/15.07 interpretation 59.53/15.07 0 Wk / - 0A 0A 3A \ 59.53/15.07 | - - 0A 0A | 59.53/15.07 | 0A 3A - 3A | 59.53/15.07 \ - - - 0A / 59.53/15.07 1 Wk / - - 0A 0A \ 59.53/15.07 | 0A - - - | 59.53/15.07 | - 0A 3A 3A | 59.53/15.07 \ - - - 0A / 59.53/15.07 2 Wk / 0A 0A 3A 6A \ 59.53/15.07 | - 0A 3A - | 59.53/15.07 | - - 0A - | 59.53/15.07 \ - - - 0A / 59.53/15.07 3 Wk / - 0A 4A 1A \ 59.53/15.07 | - - - - | 59.53/15.07 | - - - - | 59.53/15.07 \ - - - 0A / 59.53/15.07 [3, 1] |-> [3, 2] 59.53/15.07 lhs rhs ge gt 59.53/15.07 Wk / 0A 4A 7A 7A \ Wk / - 0A 4A 1A \ True True 59.53/15.07 | - - - - | | - - - - | 59.53/15.07 | - - - - | | - - - - | 59.53/15.07 \ - - - 0A / \ - - - 0A / 59.53/15.07 [0, 1] ->= [] 59.53/15.07 lhs rhs ge gt 59.53/15.07 Wk / 0A 0A 3A 3A \ Wk / 0A - - - \ True False 59.53/15.07 | - 0A 3A 3A | | - 0A - - | 59.53/15.07 | 3A - 0A 3A | | - - 0A - | 59.53/15.07 \ - - - 0A / \ - - - 0A / 59.53/15.07 [0, 2] ->= [1, 1] 59.53/15.07 lhs rhs ge gt 59.53/15.07 Wk / - 0A 3A 3A \ Wk / - 0A 3A 3A \ True False 59.53/15.07 | - - 0A 0A | | - - 0A 0A | 59.53/15.07 | 0A 3A 6A 6A | | 0A 3A 6A 6A | 59.53/15.07 \ - - - 0A / \ - - - 0A / 59.53/15.07 [2, 1] ->= [0, 0, 2, 2] 59.53/15.08 lhs rhs ge gt 59.53/15.08 Wk / 0A 3A 6A 6A \ Wk / 0A 3A 6A 6A \ True False 59.53/15.08 | 0A 3A 6A 6A | | 0A 3A 6A 6A | 59.53/15.08 | - 0A 3A 3A | | - 0A 3A 3A | 59.53/15.08 \ - - - 0A / \ - - - 0A / 59.53/15.08 property Termination 59.53/15.08 has value True 59.53/15.08 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 0, 2, 2]) 59.53/15.08 reason 59.53/15.08 EDG has 0 SCCs 59.53/15.08 59.53/15.08 ************************************************** 59.53/15.08 summary 59.53/15.08 ************************************************** 59.53/15.08 SRS with 3 rules on 3 letters Remap { tracing = False} 59.53/15.08 SRS with 3 rules on 3 letters DP transform 59.53/15.08 SRS with 7 rules on 5 letters Remap { tracing = False} 59.53/15.08 SRS with 7 rules on 5 letters weights 59.53/15.08 SRS with 5 rules on 4 letters EDG 59.53/15.08 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 59.53/15.08 SRS with 4 rules on 4 letters EDG 59.53/15.08 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 59.53/15.08 SRS with 3 rules on 3 letters EDG 59.53/15.08 59.53/15.08 ************************************************** 59.53/15.08 (3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 59.53/15.08 ************************************************** 59.85/15.15 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]} 59.85/15.15 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 60.34/15.33 EOF