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

**************************************************
skeleton: (4,3)\Deepee(6/4,6)\Weight\EDG(4/4,5)\Matrix{\Arctic}{4}(2/4,5)\Weight(1/4,4)\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 1.305060307000
  min duration 0.895244726000
  total durat. 2.200305033000
  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 = 4
      , num_top_rules = 4
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 27}
    , self = 54
    , parent = Just 13
    , duration = 1.305060307000
    , status = Fail
    , start = 2021-07-13 23:26:50.97616601 UTC
    , finish = 2021-07-13 23:26:52.281226317 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '9'
                          , '0' ]
                        , 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 1
  max duration 6.543109957000
  min duration 6.543109957000
  total durat. 6.543109957000
  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 = 4
      , num_top_rules = 4
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 27}
    , self = 67
    , parent = Just 13
    , duration = 6.543109957000
    , status = Success
    , start = 2021-07-13 23:26:52.281522574 UTC
    , finish = 2021-07-13 23:26:58.824632531 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '4' ]
                        , 0
                        , True )}
Fail : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 8 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 1
  max duration 5.852974555000
  min duration 5.852974555000
  total durat. 5.852974555000
  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 = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 19}
    , self = 66
    , parent = Just 14
    , duration = 5.852974555000
    , status = Fail
    , start = 2021-07-13 23:26:51.871589782 UTC
    , finish = 2021-07-13 23:26:57.724564337 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '1'
                          , '9' ]
                        , 0
                        , True )}
Fail : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 3 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 3.839831428000
  min duration 2.773207340000
  total durat. 6.613038768000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 3
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 19}
    , self = 61
    , parent = Just 14
    , duration = 2.773207340000
    , status = Fail
    , start = 2021-07-13 23:26:51.262665483 UTC
    , finish = 2021-07-13 23:26:54.035872823 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '2' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 3
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 27}
    , self = 62
    , parent = Just 13
    , duration = 3.839831428000
    , status = Fail
    , start = 2021-07-13 23:26:51.407018569 UTC
    , finish = 2021-07-13 23:26:55.246849997 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '6' ]
                        , 0
                        , True )}
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 1.735488595000
  min duration 1.254285282000
  total durat. 2.989773877000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 19}
    , self = 55
    , parent = Just 14
    , duration = 1.254285282000
    , status = Fail
    , start = 2021-07-13 23:26:51.283957054 UTC
    , finish = 2021-07-13 23:26:52.538242336 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '5' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 27}
    , self = 56
    , parent = Just 13
    , duration = 1.735488595000
    , status = Fail
    , start = 2021-07-13 23:26:51.418933578 UTC
    , finish = 2021-07-13 23:26:53.154422173 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '9' ]
                        , 0
                        , True )}
Fail : QPI { dim = 6, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 5.693253337000
  min duration 3.799411594000
  total durat. 9.492664931000
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 19}
    , self = 65
    , parent = Just 14
    , duration = 3.799411594000
    , status = Fail
    , start = 2021-07-13 23:26:52.53835359 UTC
    , finish = 2021-07-13 23:26:56.337765184 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '7' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 8
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 4
      , alphabet_size = 5
      , total_length = 27}
    , self = 73
    , parent = Just 13
    , duration = 5.693253337000
    , status = Fail
    , start = 2021-07-13 23:26:53.154679554 UTC
    , finish = 2021-07-13 23:26:58.847932891 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '1' ]
                        , 0
                        , True )}
Fail : QPI { dim = 8, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 2.510197704000
  min duration 2.510197704000
  total durat. 2.510197704000
  Info
    { what = QPI
      { dim = 8
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 4
      , alphabet_size = 4
      , total_length = 19}
    , self = 74
    , parent = Just 14
    , duration = 2.510197704000
    , status = Fail
    , start = 2021-07-13 23:26:56.337863612 UTC
    , finish = 2021-07-13 23:26:58.848061316 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '4'
                          , '7' ]
                        , 0
                        , 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 2
  max duration 2.434938941000
  min duration 0.069786280000
  total durat. 2.504725221000
  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 = 62
      , num_strict_rules = 62
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 15
      , total_length = 313}
    , self = 57
    , parent = Just 35
    , duration = 2.434938941000
    , status = Success
    , start = 2021-07-13 23:26:51.231788469 UTC
    , finish = 2021-07-13 23:26:53.66672741 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '8'
                          , '7' ]
                        , 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 2
  max duration 2.717279662000
  min duration 0.078936377000
  total durat. 2.796216039000
  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 = 62
      , num_strict_rules = 62
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 15
      , total_length = 313}
    , self = 59
    , parent = Just 35
    , duration = 2.717279662000
    , status = Success
    , start = 2021-07-13 23:26:51.231739955 UTC
    , finish = 2021-07-13 23:26:53.949019617 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '8'
                          , '5' ]
                        , 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 3
  max duration 3.980447744000
  min duration 0.108723129000
  total durat. 4.243750850000
  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 = 83
      , num_strict_rules = 7
      , num_top_rules = 7
      , num_weak_rules = 76
      , alphabet_size = 19
      , total_length = 425}
    , self = 63
    , parent = Just 43
    , duration = 3.980447744000
    , status = Success
    , start = 2021-07-13 23:26:51.352754732 UTC
    , finish = 2021-07-13 23:26:55.333202476 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '3' ]
                        , 3
                        , True )}
**************************************************