/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
**************************************************
summary
**************************************************
SRS with 3 rules on 3 letters       mirror
SRS with 3 rules on 3 letters       DP
SRS with 7 strict rules and 3 weak rules on 6 letters       weights
SRS with 4 strict rules and 3 weak rules on 5 letters       EDG
SRS with 4 strict rules and 3 weak rules on 5 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 8, encoding = Ersatz_Binary, dim = 4, solver = Minisatapi, verbose = True, tracing = False}
SRS with 2 strict rules and 3 weak rules on 5 letters       weights
SRS with 1 strict rules and 3 weak rules on 4 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

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a] -> [] {- Input 0 -}
  [a, b] -> [b, c, a] {- Input 1 -}
  [c, c] -> [b, a, c, a] {- Input 2 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a] -> [] {- Mirror (Input 0) -}
  [b, a] -> [a, c, b] {- Mirror (Input 1) -}
  [c, c] -> [a, c, a, b] {- Mirror (Input 2) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [b, a] ->= [a, c, b] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a, c, a, b] {- DP Nontop (Mirror (Input 2)) -}
  [b#, a] |-> [a#, c, b] {- DP (Top 0) (Mirror (Input 1)) -}
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
  [b#, a] |-> [c#, b] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#, c] |-> [a#, b] {- DP (Top 2) (Mirror (Input 2)) -}
  [c#, c] |-> [a#, c, a, b] {- DP (Top 0) (Mirror (Input 2)) -}
  [c#, c] |-> [b#] {- DP (Top 3) (Mirror (Input 2)) -}
  [c#, c] |-> [c#, a, b] {- DP (Top 1) (Mirror (Input 2)) -}
reason
  (b#, 1/2)
  (c#, 1/2)
   property Termination
has value Just True
for SRS
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [b, a] ->= [a, c, b] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a, c, a, b] {- DP Nontop (Mirror (Input 2)) -}
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
  [b#, a] |-> [c#, b] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#, c] |-> [b#] {- DP (Top 3) (Mirror (Input 2)) -}
  [c#, c] |-> [c#, a, b] {- DP (Top 1) (Mirror (Input 2)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
  [b#, a] |-> [c#, b] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#, c] |-> [c#, a, b] {- DP (Top 1) (Mirror (Input 2)) -}
  [c#, c] |-> [b#] {- DP (Top 3) (Mirror (Input 2)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [b, a] ->= [a, c, b] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a, c, a, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  ( a
  , Wk  / 3A 3A -  4A \
        | 0A 0A -  1A |
        | -  -  0A -  |
        \ -  -  -  0A / )
  ( b
  , Wk  / 0A 0A - 1A \
        | 0A 0A - -  |
        | 0A -  - 0A |
        \ -  -  - 0A / )
  ( c
  , Wk  / -  0A 0A 0A \
        | -  0A 0A 1A |
        | 3A 3A 3A 4A |
        \ -  -  -  0A / )
  ( b#
  , Wk  / - 4A - 6A \
        | - -  - -  |
        | - -  - -  |
        \ - -  - 0A / )
  ( c#
  , Wk  / - - 2A 5A \
        | - - -  -  |
        | - - -  -  |
        \ - - -  0A / )
   property Termination
has value Just True
for SRS
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
  [c#, c] |-> [b#] {- DP (Top 3) (Mirror (Input 2)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [b, a] ->= [a, c, b] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a, c, a, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  (c#, 1/1)
   property Termination
has value Just True
for SRS
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
  [a] ->= [] {- DP Nontop (Mirror (Input 0)) -}
  [b, a] ->= [a, c, b] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a, c, a, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [b#, a] |-> [b#] {- DP (Top 2) (Mirror (Input 1)) -}
reason
  (a, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: \Mirror(3,3)\Deepee(7/3,6)\Weight\EDG(4/3,5)\Matrix{\Arctic}{4}(2/3,5)\Weight(1/3,4)\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)
**************************************************
Fail : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 1.587074125000
  min duration 1.584459725000
  total durat. 3.171533850000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 27}
    , self = 61
    , parent = Just 16
    , duration = 1.584459725000
    , status = Fail
    , start = 2021-07-13 23:20:06.040541659 UTC
    , finish = 2021-07-13 23:20:07.625001384 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '2'
                          , '2' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 5
      , num_top_rules = 5
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 31}
    , self = 62
    , parent = Just 12
    , duration = 1.587074125000
    , status = Fail
    , start = 2021-07-13 23:20:06.0397661 UTC
    , finish = 2021-07-13 23:20:07.626840225 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '9'
                          , '8' ]
                        , 0
                        , True )}
Success : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 8 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 7.971660991000
  min duration 7.964215312000
  total durat. 15.935876303000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 8
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 27}
    , self = 74
    , parent = Just 16
    , duration = 7.964215312000
    , status = Success
    , start = 2021-07-13 23:20:07.6269674 UTC
    , finish = 2021-07-13 23:20:15.591182712 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '2' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 8
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 5
      , num_top_rules = 5
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 31}
    , self = 76
    , parent = Just 12
    , duration = 7.971660991000
    , status = Success
    , start = 2021-07-13 23:20:07.627092805 UTC
    , finish = 2021-07-13 23:20:15.598753796 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '5' ]
                        , 0
                        , True )}
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 2.402668747000
  min duration 1.889814488000
  total durat. 4.292483235000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 27}
    , self = 63
    , parent = Just 16
    , duration = 1.889814488000
    , status = Fail
    , start = 2021-07-13 23:20:06.416724179 UTC
    , finish = 2021-07-13 23:20:08.306538667 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '4' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 5
      , num_top_rules = 5
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 31}
    , self = 68
    , parent = Just 12
    , duration = 2.402668747000
    , status = Fail
    , start = 2021-07-13 23:20:06.503176105 UTC
    , finish = 2021-07-13 23:20:08.905844852 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '3' ]
                        , 0
                        , True )}
Fail : QPI { dim = 6, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 7.298348068000
  min duration 7.298348068000
  total durat. 7.298348068000
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 27}
    , self = 85
    , parent = Just 16
    , duration = 7.298348068000
    , status = Fail
    , start = 2021-07-13 23:20:08.306785398 UTC
    , finish = 2021-07-13 23:20:15.605133466 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '4'
                          , '0' ]
                        , 0
                        , True )}
Fail : Tiling { method = Backward , width = 12 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 1
  max duration 3.172397911000
  min duration 3.172397911000
  total durat. 3.172397911000
  Info
    { what = Tiling
      { method = Backward
      , width = 12
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 3
      , num_strict_rules = 3
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 3
      , total_length = 12}
    , self = 69
    , parent = Just 0
    , duration = 3.172397911000
    , status = Fail
    , start = 2021-07-13 23:20:06.041866878 UTC
    , finish = 2021-07-13 23:20:09.214264789 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '8'
                          , '7' ]
                        , 3
                        , True )}
Success : Tiling { method = Backward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 3
  max duration 1.378742587000
  min duration 0.043106743000
  total durat. 2.582241003000
  Info
    { what = Tiling
      { method = Backward
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 31
      , num_strict_rules = 31
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 11
      , total_length = 189}
    , self = 64
    , parent = Just 55
    , duration = 1.160391673000
    , status = Success
    , start = 2021-07-13 23:20:07.276182236 UTC
    , finish = 2021-07-13 23:20:08.436573909 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '8' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Backward
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 36
      , num_strict_rules = 36
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 12
      , total_length = 216}
    , self = 59
    , parent = Just 28
    , duration = 1.378742587000
    , status = Success
    , start = 2021-07-13 23:20:06.223145187 UTC
    , finish = 2021-07-13 23:20:07.601887774 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '8'
                          , '4' ]
                        , 3
                        , True )}
Success : Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 3
  max duration 1.348868125000
  min duration 0.055477227000
  total durat. 2.305433888000
  Info
    { what = Tiling
      { method = Forward
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 31
      , num_strict_rules = 31
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 11
      , total_length = 189}
    , self = 66
    , parent = Just 55
    , duration = 1.348868125000
    , status = Success
    , start = 2021-07-13 23:20:07.236628687 UTC
    , finish = 2021-07-13 23:20:08.585496812 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '1' ]
                        , 3
                        , True )}
Success : Tiling { method = Overlap , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False}
  total number 4
  max duration 5.778162618000
  min duration 0.145074650000
  total durat. 10.043532071000
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 67
      , num_strict_rules = 18
      , num_top_rules = 18
      , num_weak_rules = 49
      , alphabet_size = 19
      , total_length = 397}
    , self = 70
    , parent = Just 49
    , duration = 3.940555337000
    , status = Success
    , start = 2021-07-13 23:20:06.933274602 UTC
    , finish = 2021-07-13 23:20:10.873829939 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '1'
                          , '5' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , map_type = Enum
      , unlabel = True
      , print_completion_steps = False
      , print_tiles = False
      , max_num_tiles = Just 1000
      , max_num_rules = Just 100000
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 66
      , num_strict_rules = 12
      , num_top_rules = 12
      , num_weak_rules = 54
      , alphabet_size = 20
      , total_length = 393}
    , self = 72
    , parent = Just 36
    , duration = 5.778162618000
    , status = Success
    , start = 2021-07-13 23:20:06.611923246 UTC
    , finish = 2021-07-13 23:20:12.390085864 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '7' ]
                        , 3
                        , True )}
**************************************************