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


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


NO
**************************************************
summary
**************************************************
SRS with 1 rules on 2 letters       admits a non-terminating transport system
with pivot [a, a, a, a, a, a, a]
alphabet [[a], [a, b]]
pivot represented as [[a], [a], [a], [a], [a], [a], [a]]
derivations for transport system
  [a]
    [a] pivot ->^0 pivot [[a]]
    because of derivation
      [a, a, a, a, a, a, a, a] ->^0 [a, a, a, a, a, a, a, a]
      via steps 
  [a, b]
    [a, b] pivot ->^1 pivot [[a], [a, b], [a, b], [a, b]]
    because of derivation
      [a, b, a, a, a, a, a, a, a] ->^1 [a, a, a, a, a, a, a, a, a, b, a, b, a, b]
      via steps Step   { rule = 0, position = 0}
infinite derivation starts at
  [[a, b], [a, b], [a, b]] pivot ^ 8

**************************************************
proof
**************************************************
property Termination
has value Just False
for SRS
  [a, b, a, a, a, a, a, a, a] -> [ a , a , a , a , a , a , a , a , a , b , a , b , a , b ] {- Input 0 -}
reason
  admits a non-terminating transport system
  with pivot [a, a, a, a, a, a, a]
  alphabet [[a], [a, b]]
  pivot represented as [[a], [a], [a], [a], [a], [a], [a]]
  derivations for transport system
    [a]
      [a] pivot ->^0 pivot [[a]]
      because of derivation
        [a, a, a, a, a, a, a, a] ->^0 [a, a, a, a, a, a, a, a]
        via steps 
    [a, b]
      [a, b] pivot ->^1 pivot [[a], [a, b], [a, b], [a, b]]
      because of derivation
        [a, b, a, a, a, a, a, a, a] ->^1 [a, a, a, a, a, a, a, a, a, b, a, b, a, b]
        via steps Step   { rule = 0, position = 0}
  infinite derivation starts at
    [[a, b], [a, b], [a, b]] pivot ^ 8

**************************************************
skeleton: (1,2)\Transport{}[]
**************************************************
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)
**************************************************
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 1
  max duration 1.270930672000
  min duration 1.270930672000
  total durat. 1.270930672000
  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 = 12
      , num_strict_rules = 11
      , num_top_rules = 11
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 218}
    , self = 88
    , parent = Just 14
    , duration = 1.270930672000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:50:50.638824332 UTC
    , finish = 2021-07-13 23:50:51.909755004 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '1'
                          , '1' ]
                        , 0
                        , True )}
Fail : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 1.106728566000
  min duration 0.600943572000
  total durat. 1.707672138000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 4
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 8
      , num_top_rules = 8
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 139}
    , self = 79
    , parent = Just 19
    , duration = 1.106728566000
    , status = Fail
    , start = 2021-07-13 23:50:50.641445703 UTC
    , finish = 2021-07-13 23:50:51.748174269 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '3'
                          , '0' ]
                        , 0
                        , True )}
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 1
  max duration 1.271092405000
  min duration 1.271092405000
  total durat. 1.271092405000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 4
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 12
      , num_strict_rules = 11
      , num_top_rules = 11
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 218}
    , self = 90
    , parent = Just 14
    , duration = 1.271092405000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:50:50.638875374 UTC
    , finish = 2021-07-13 23:50:51.909967779 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '1'
                          , '3' ]
                        , 0
                        , True )}
Success : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 1.268867891000
  min duration 1.268867891000
  total durat. 1.268867891000
  Info
    { what = QPI
      { dim = 2
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 12
      , num_strict_rules = 11
      , num_top_rules = 11
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 218}
    , self = 86
    , parent = Just 14
    , duration = 1.268867891000
    , status = Success
    , start = 2021-07-13 23:50:50.638782972 UTC
    , finish = 2021-07-13 23:50:51.907650863 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '0'
                          , '9' ]
                        , 0
                        , True )}
Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 0.835121264000
  min duration 0.501166127000
  total durat. 1.336287391000
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Simple (Config { tracing = False , verbose = False , closure = Backward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])})
  total number 1
  max duration 2.618564067000
  min duration 2.618564067000
  total durat. 2.618564067000
  Info
    { what = Simple (Config
      { tracing = False
      , verbose = False
      , closure = Backward
      , max_closure_length = Nothing
      , max_closure_width = Nothing
      , intermediates = All
      , priority = (Linear [ (1, Log2 Steps)
                           , (-1, Width_lhs)
                           , (-2, Log2 Width_rhs) ])})
    , input_size = Size
      { num_rules = 1
      , num_strict_rules = 1
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 2
      , total_length = 23}
    , self = 133
    , parent = Just 0
    , duration = 2.618564067000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:50:50.636703951 UTC
    , finish = 2021-07-13 23:50:53.255268018 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '0' ]
                        , 1
                        , True )}
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Simple (Config { tracing = False , verbose = False , closure = Forward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])})
  total number 1
  max duration 2.616091861000
  min duration 2.616091861000
  total durat. 2.616091861000
  Info
    { what = Simple (Config
      { tracing = False
      , verbose = False
      , closure = Forward
      , max_closure_length = Nothing
      , max_closure_width = Nothing
      , intermediates = All
      , priority = (Linear [ (1, Log2 Steps)
                           , (-1, Width_lhs)
                           , (-2, Log2 Width_rhs) ])})
    , input_size = Size
      { num_rules = 1
      , num_strict_rules = 1
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 2
      , total_length = 23}
    , self = 132
    , parent = Just 0
    , duration = 2.616091861000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:50:50.636675451 UTC
    , finish = 2021-07-13 23:50:53.252767312 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '6' ]
                        , 1
                        , 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 5
  max duration 1.649167351000
  min duration 0.046300301000
  total durat. 2.563790390000
  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 = 24
      , num_strict_rules = 24
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 10
      , total_length = 648}
    , self = 128
    , parent = Just 55
    , duration = 1.649167351000
    , status = Success
    , start = 2021-07-13 23:50:51.555002144 UTC
    , finish = 2021-07-13 23:50:53.204169495 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '8' ]
                        , 3
                        , True )}
Success : Tiling { method = Backward , width = 4 , 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 1.270685558000
  min duration 0.203992397000
  total durat. 1.474677955000
  Info
    { what = Tiling
      { method = Backward
      , width = 4
      , 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 = 4
      , num_strict_rules = 4
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 4
      , total_length = 100}
    , self = 111
    , parent = Just 42
    , duration = 1.270685558000
    , status = Success
    , start = 2021-07-13 23:50:51.144462727 UTC
    , finish = 2021-07-13 23:50:52.415148285 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '1'
                          , '0' ]
                        , 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 5
  max duration 1.116015646000
  min duration 0.029247538000
  total durat. 2.303845463000
  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 = 12
      , num_strict_rules = 12
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 7
      , total_length = 324}
    , self = 124
    , parent = Just 97
    , duration = 1.116015646000
    , status = Success
    , start = 2021-07-13 23:50:51.99656569 UTC
    , finish = 2021-07-13 23:50:53.112581336 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '1'
                          , '6' ]
                        , 3
                        , True )}
Success : Tiling { method = Forward , width = 4 , 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 0.934067623000
  min duration 0.202215788000
  total durat. 1.136283411000
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 0.978313092000
  min duration 0.505075633000
  total durat. 2.811737621000
Success : Tiling { method = Overlap , width = 4 , 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 2.290687341000
  min duration 1.346761407000
  total durat. 3.637448748000
  Info
    { what = Tiling
      { method = Overlap
      , width = 4
      , 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 = 4
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 62}
    , self = 126
    , parent = Just 82
    , duration = 1.346761407000
    , status = Success
    , start = 2021-07-13 23:50:51.830649606 UTC
    , finish = 2021-07-13 23:50:53.177411013 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '5'
                          , '6' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 4
      , 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 = 9
      , num_strict_rules = 8
      , num_top_rules = 8
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 139}
    , self = 120
    , parent = Just 19
    , duration = 2.290687341000
    , status = Success
    , start = 2021-07-13 23:50:50.652623445 UTC
    , finish = 2021-07-13 23:50:52.943310786 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '4'
                          , '7' ]
                        , 3
                        , True )}
Success : Transport { mode = Standard, max_derivation_length = Nothing}
  total number 1
  max duration 2.613934684000
  min duration 2.613934684000
  total durat. 2.613934684000
  Info
    { what = Transport   { mode = Standard, max_derivation_length = Nothing}
    , input_size = Size
      { num_rules = 1
      , num_strict_rules = 1
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 2
      , total_length = 23}
    , self = 131
    , parent = Just 0
    , duration = 2.613934684000
    , status = Success
    , start = 2021-07-13 23:50:50.636718137 UTC
    , finish = 2021-07-13 23:50:53.250652821 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '8' ]
                        , 1
                        , True )}
Fail : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 21
  max duration 0.899465418000
  min duration 0.000210210000
  total durat. 1.365800826000
**************************************************