/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
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summary
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SRS with 9 rules on 6 letters       weights
SRS with 6 rules on 5 letters       mirror
SRS with 6 rules on 5 letters       DP
SRS with 12 strict rules and 6 weak rules on 9 letters       weights
SRS with 3 strict rules and 6 weak rules on 8 letters       EDG
SRS with 1 rules on 2 letters       Usable
SRS with 1 rules on 2 letters       weights
SRS with 0 rules on 0 letters       no strict rules

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proof
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property Termination
has value Just True
for SRS
  [a, b, c, a] -> [b, a, c, b, a, b] {- Input 0 -}
  [a, d] -> [c] {- Input 1 -}
  [a, f, f] -> [g] {- Input 2 -}
  [b, g] -> [g, b] {- Input 3 -}
  [c] -> [f, f] {- Input 4 -}
  [c, a, c] -> [b, c, a, b, c] {- Input 5 -}
  [c, d] -> [a, a] {- Input 6 -}
  [g] -> [c, a] {- Input 7 -}
  [g] -> [d, d, d, d] {- Input 8 -}
reason
  (a, 18/1)
  (c, 27/1)
  (d, 11/1)
  (f, 27/2)
  (g, 45/1)
   property Termination
has value Just True
for SRS
  [a, b, c, a] -> [b, a, c, b, a, b] {- Input 0 -}
  [a, f, f] -> [g] {- Input 2 -}
  [b, g] -> [g, b] {- Input 3 -}
  [c] -> [f, f] {- Input 4 -}
  [c, a, c] -> [b, c, a, b, c] {- Input 5 -}
  [g] -> [c, a] {- Input 7 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a, c, b, a] -> [b, a, b, c, a, b] {- Mirror (Input 0) -}
  [f, f, a] -> [g] {- Mirror (Input 2) -}
  [g, b] -> [b, g] {- Mirror (Input 3) -}
  [c] -> [f, f] {- Mirror (Input 4) -}
  [c, a, c] -> [c, b, a, c, b] {- Mirror (Input 5) -}
  [g] -> [a, c] {- Mirror (Input 7) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, c, b, a] ->= [b, a, b, c, a, b] {- DP Nontop (Mirror (Input 0)) -}
  [f, f, a] ->= [g] {- DP Nontop (Mirror (Input 2)) -}
  [g, b] ->= [b, g] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [f, f] {- DP Nontop (Mirror (Input 4)) -}
  [c, a, c] ->= [c, b, a, c, b] {- DP Nontop (Mirror (Input 5)) -}
  [g] ->= [a, c] {- DP Nontop (Mirror (Input 7)) -}
  [a#, c, b, a] |-> [a#, b] {- DP (Top 4) (Mirror (Input 0)) -}
  [a#, c, b, a] |-> [a#, b, c, a, b] {- DP (Top 1) (Mirror (Input 0)) -}
  [a#, c, b, a] |-> [c#, a, b] {- DP (Top 3) (Mirror (Input 0)) -}
  [c#] |-> [f#] {- DP (Top 1) (Mirror (Input 4)) -}
  [c#] |-> [f#, f] {- DP (Top 0) (Mirror (Input 4)) -}
  [c#, a, c] |-> [a#, c, b] {- DP (Top 2) (Mirror (Input 5)) -}
  [c#, a, c] |-> [c#, b] {- DP (Top 3) (Mirror (Input 5)) -}
  [c#, a, c] |-> [c#, b, a, c, b] {- DP (Top 0) (Mirror (Input 5)) -}
  [f#, f, a] |-> [g#] {- DP (Top 0) (Mirror (Input 2)) -}
  [g#] |-> [a#, c] {- DP (Top 0) (Mirror (Input 7)) -}
  [g#] |-> [c#] {- DP (Top 1) (Mirror (Input 7)) -}
  [g#, b] |-> [g#] {- DP (Top 1) (Mirror (Input 3)) -}
reason
  (a, 5/1)
  (g, 5/1)
  (a#, 3/1)
  (c#, 2/1)
  (g#, 4/1)
   property Termination
has value Just True
for SRS
  [a, c, b, a] ->= [b, a, b, c, a, b] {- DP Nontop (Mirror (Input 0)) -}
  [f, f, a] ->= [g] {- DP Nontop (Mirror (Input 2)) -}
  [g, b] ->= [b, g] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [f, f] {- DP Nontop (Mirror (Input 4)) -}
  [c, a, c] ->= [c, b, a, c, b] {- DP Nontop (Mirror (Input 5)) -}
  [g] ->= [a, c] {- DP Nontop (Mirror (Input 7)) -}
  [a#, c, b, a] |-> [a#, b, c, a, b] {- DP (Top 1) (Mirror (Input 0)) -}
  [c#, a, c] |-> [c#, b, a, c, b] {- DP (Top 0) (Mirror (Input 5)) -}
  [g#, b] |-> [g#] {- DP (Top 1) (Mirror (Input 3)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [g#, b] |-> [g#] {- DP (Top 1) (Mirror (Input 3)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [g#, b] |-> [g#] {- DP (Top 1) (Mirror (Input 3)) -}
reason
  (b, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: (9,6)\Weight\Mirror(6,5)\Deepee(12/6,9)\Weight(3/6,8)\EDG\Usable(1,2)\Weight(0,0)[]
**************************************************
let {}
in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]}
  in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]]))
**************************************************
statistics on proof search (nodes types that (together) took more than 1.000000000000)
**************************************************

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