/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 5 rules on 3 letters       mirror
SRS with 5 rules on 3 letters       DP
SRS with 12 strict rules and 5 weak rules on 6 letters       weights
SRS with 3 strict rules and 5 weak rules on 4 letters       EDG
SRS with 3 strict rules and 5 weak rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 3, encoding = FBV, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 0 strict rules and 5 weak rules on 3 letters       EDG

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proof
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property Termination
has value Just True
for SRS
  [a, b, c] -> [c, c, c, b, b, b, a, a, a] {- Input 0 -}
  [c, b] -> [a, a, a] {- Input 1 -}
  [a] -> [] {- Input 2 -}
  [b] -> [] {- Input 3 -}
  [c] -> [] {- Input 4 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [c, b, a] -> [a, a, a, b, b, b, c, c, c] {- Mirror (Input 0) -}
  [b, c] -> [a, a, a] {- Mirror (Input 1) -}
  [a] -> [] {- Mirror (Input 2) -}
  [b] -> [] {- Mirror (Input 3) -}
  [c] -> [] {- Mirror (Input 4) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [c, b, a] ->= [a, a, a, b, b, b, c, c, c] {- DP Nontop (Mirror (Input 0)) -}
  [b, c] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 2)) -}
  [b] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [] {- DP Nontop (Mirror (Input 4)) -}
  [b#, c] |-> [a#] {- DP (Top 2) (Mirror (Input 1)) -}
  [b#, c] |-> [a#, a] {- DP (Top 1) (Mirror (Input 1)) -}
  [b#, c] |-> [a#, a, a] {- DP (Top 0) (Mirror (Input 1)) -}
  [c#, b, a] |-> [a#, a, a, b, b, b, c, c, c] {- DP (Top 0) (Mirror (Input 0)) -}
  [c#, b, a] |-> [a#, a, b, b, b, c, c, c] {- DP (Top 1) (Mirror (Input 0)) -}
  [c#, b, a] |-> [a#, b, b, b, c, c, c] {- DP (Top 2) (Mirror (Input 0)) -}
  [c#, b, a] |-> [b#, b, b, c, c, c] {- DP (Top 3) (Mirror (Input 0)) -}
  [c#, b, a] |-> [b#, b, c, c, c] {- DP (Top 4) (Mirror (Input 0)) -}
  [c#, b, a] |-> [b#, c, c, c] {- DP (Top 5) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#] {- DP (Top 8) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c] {- DP (Top 7) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c, c] {- DP (Top 6) (Mirror (Input 0)) -}
reason
  (b#, 3/1)
  (c#, 4/1)
   property Termination
has value Just True
for SRS
  [c, b, a] ->= [a, a, a, b, b, b, c, c, c] {- DP Nontop (Mirror (Input 0)) -}
  [b, c] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 2)) -}
  [b] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [] {- DP Nontop (Mirror (Input 4)) -}
  [c#, b, a] |-> [c#] {- DP (Top 8) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c] {- DP (Top 7) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c, c] {- DP (Top 6) (Mirror (Input 0)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [c#, b, a] |-> [c#] {- DP (Top 8) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c, c] {- DP (Top 6) (Mirror (Input 0)) -}
  [c#, b, a] |-> [c#, c] {- DP (Top 7) (Mirror (Input 0)) -}
  [c, b, a] ->= [a, a, a, b, b, b, c, c, c] {- DP Nontop (Mirror (Input 0)) -}
  [b, c] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 2)) -}
  [b] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [] {- DP Nontop (Mirror (Input 4)) -}
reason
  ( c
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( b
  , Wk  / 0A  2A \
        \ -2A 0A / )
  ( a
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( c#
  , Wk  / 8A 9A \
        \ 8A 9A / )
   property Termination
has value Just True
for SRS
  [c, b, a] ->= [a, a, a, b, b, b, c, c, c] {- DP Nontop (Mirror (Input 0)) -}
  [b, c] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 2)) -}
  [b] ->= [] {- DP Nontop (Mirror (Input 3)) -}
  [c] ->= [] {- DP Nontop (Mirror (Input 4)) -}
reason
  EDG

**************************************************
skeleton: \Mirror(5,3)\Deepee(12/5,6)\Weight\EDG(3/5,4)\Matrix{\Arctic}{2}(0/5,3)\EDG[]
**************************************************
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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