32.60/8.28 YES 32.60/8.28 property Termination 32.60/8.28 has value True 32.60/8.28 for SRS ( [a] -> [], [a, a] -> [a, b], [b] -> [], [c, b] -> [b, a, c, c]) 32.60/8.30 reason 32.60/8.30 remap for 4 rules 32.60/8.30 property Termination 32.60/8.30 has value True 32.60/8.30 for SRS ( [0] -> [], [0, 0] -> [0, 1], [1] -> [], [2, 1] -> [1, 0, 2, 2]) 32.60/8.30 reason 32.60/8.30 DP transform 32.60/8.30 property Termination 32.60/8.30 has value True 32.60/8.30 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2], [0#, 0] |-> [0#, 1], [0#, 0] |-> [1#], [2#, 1] |-> [1#, 0, 2, 2], [2#, 1] |-> [0#, 2, 2], [2#, 1] |-> [2#, 2], [2#, 1] |-> [2#]) 32.60/8.30 reason 32.60/8.30 remap for 10 rules 32.60/8.30 property Termination 32.60/8.30 has value True 32.60/8.30 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2], [3, 0] |-> [3, 1], [3, 0] |-> [4], [5, 1] |-> [4, 0, 2, 2], [5, 1] |-> [3, 2, 2], [5, 1] |-> [5, 2], [5, 1] |-> [5]) 32.60/8.30 reason 32.60/8.30 weights 32.60/8.30 Map [(3, 1/1), (5, 2/1)] 32.60/8.30 32.60/8.30 property Termination 32.60/8.30 has value True 32.60/8.30 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2], [3, 0] |-> [3, 1], [5, 1] |-> [5, 2], [5, 1] |-> [5]) 32.60/8.30 reason 32.60/8.30 EDG has 2 SCCs 32.60/8.30 property Termination 32.60/8.30 has value True 32.60/8.30 for SRS ( [3, 0] |-> [3, 1], [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2]) 32.60/8.30 reason 32.60/8.31 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 32.60/8.31 interpretation 32.60/8.32 0 Wk / 1A 4A 1A 2A \ 32.60/8.32 | - 1A - - | 32.60/8.32 | 0A 0A 0A - | 32.60/8.32 \ - - - 0A / 32.60/8.32 1 Wk / 0A 2A - - \ 32.60/8.32 | - 1A - - | 32.60/8.32 | 0A 4A 1A 2A | 32.60/8.32 \ - - - 0A / 32.93/8.34 2 Wk / - 6A 0A 1A \ 32.93/8.34 | - - - - | 32.93/8.34 | - 4A 0A 0A | 32.93/8.34 \ - - - 0A / 32.93/8.35 3 Wk / 3A 5A - - \ 32.93/8.35 | - - - - | 32.93/8.35 | - - - - | 32.93/8.35 \ - - - 0A / 32.93/8.35 [3, 0] |-> [3, 1] 32.93/8.36 lhs rhs ge gt 32.93/8.36 Wk / 4A 7A 4A 5A \ Wk / 3A 6A - - \ True True 32.93/8.36 | - - - - | | - - - - | 32.93/8.36 | - - - - | | - - - - | 32.93/8.36 \ - - - 0A / \ - - - 0A / 32.93/8.36 [0] ->= [] 32.93/8.37 lhs rhs ge gt 32.93/8.37 Wk / 1A 4A 1A 2A \ Wk / 0A - - - \ True False 32.93/8.37 | - 1A - - | | - 0A - - | 32.93/8.37 | 0A 0A 0A - | | - - 0A - | 32.93/8.37 \ - - - 0A / \ - - - 0A / 32.93/8.37 [0, 0] ->= [0, 1] 32.93/8.38 lhs rhs ge gt 32.93/8.38 Wk / 2A 5A 2A 3A \ Wk / 1A 5A 2A 3A \ True False 32.93/8.38 | - 2A - - | | - 2A - - | 32.93/8.38 | 1A 4A 1A 2A | | 0A 4A 1A 2A | 32.93/8.38 \ - - - 0A / \ - - - 0A / 32.93/8.38 [1] ->= [] 32.93/8.38 lhs rhs ge gt 32.93/8.38 Wk / 0A 2A - - \ Wk / 0A - - - \ True False 32.93/8.38 | - 1A - - | | - 0A - - | 32.93/8.38 | 0A 4A 1A 2A | | - - 0A - | 32.93/8.38 \ - - - 0A / \ - - - 0A / 32.93/8.38 [2, 1] ->= [1, 0, 2, 2] 33.09/8.40 lhs rhs ge gt 33.09/8.40 Wk / 0A 7A 1A 2A \ Wk / - 5A 1A 2A \ True False 33.09/8.40 | - - - - | | - - - - | 33.09/8.40 | 0A 5A 1A 2A | | - 5A 1A 2A | 33.09/8.40 \ - - - 0A / \ - - - 0A / 33.09/8.40 property Termination 33.09/8.40 has value True 33.09/8.40 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2]) 33.09/8.40 reason 33.09/8.40 EDG has 0 SCCs 33.09/8.40 33.09/8.40 property Termination 33.09/8.40 has value True 33.09/8.40 for SRS ( [5, 1] |-> [5, 2], [5, 1] |-> [5], [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2]) 33.09/8.40 reason 33.09/8.41 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.09/8.41 interpretation 33.09/8.41 0 / 0A 2A \ 33.09/8.41 \ 0A 2A / 33.09/8.41 1 / 2A 2A \ 33.09/8.41 \ 0A 0A / 33.09/8.41 2 / 0A 0A \ 33.09/8.41 \ -2A -2A / 33.09/8.41 5 / 7A 7A \ 33.09/8.41 \ 7A 7A / 33.09/8.41 [5, 1] |-> [5, 2] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 9A 9A \ / 7A 7A \ True True 33.09/8.41 \ 9A 9A / \ 7A 7A / 33.09/8.41 [5, 1] |-> [5] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 9A 9A \ / 7A 7A \ True True 33.09/8.41 \ 9A 9A / \ 7A 7A / 33.09/8.41 [0] ->= [] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 0A 2A \ / 0A - \ True False 33.09/8.41 \ 0A 2A / \ - 0A / 33.09/8.41 [0, 0] ->= [0, 1] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 2A 4A \ / 2A 2A \ True False 33.09/8.41 \ 2A 4A / \ 2A 2A / 33.09/8.41 [1] ->= [] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 2A 2A \ / 0A - \ True False 33.09/8.41 \ 0A 0A / \ - 0A / 33.09/8.41 [2, 1] ->= [1, 0, 2, 2] 33.09/8.41 lhs rhs ge gt 33.09/8.41 / 2A 2A \ / 2A 2A \ True False 33.09/8.41 \ 0A 0A / \ 0A 0A / 33.09/8.41 property Termination 33.09/8.41 has value True 33.09/8.41 for SRS ( [0] ->= [], [0, 0] ->= [0, 1], [1] ->= [], [2, 1] ->= [1, 0, 2, 2]) 33.09/8.41 reason 33.09/8.41 EDG has 0 SCCs 33.09/8.41 33.09/8.41 ************************************************** 33.09/8.41 summary 33.09/8.41 ************************************************** 33.09/8.41 SRS with 4 rules on 3 letters Remap { tracing = False} 33.09/8.41 SRS with 4 rules on 3 letters DP transform 33.09/8.41 SRS with 10 rules on 6 letters Remap { tracing = False} 33.09/8.41 SRS with 10 rules on 6 letters weights 33.09/8.41 SRS with 7 rules on 5 letters EDG 33.09/8.41 2 sub-proofs 33.09/8.41 1 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 33.09/8.41 SRS with 4 rules on 3 letters EDG 33.09/8.41 33.09/8.41 2 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.09/8.41 SRS with 4 rules on 3 letters EDG 33.09/8.41 33.09/8.41 ************************************************** 33.09/8.42 (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[]] 33.09/8.42 ************************************************** 33.33/8.48 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]} 33.33/8.48 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 33.60/8.59 EOF