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


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


YES
**************************************************
summary
**************************************************
SRS with 1 rules on 2 letters       DP
SRS with 9 strict rules and 1 weak rules on 3 letters       EDG
SRS with 2 strict rules and 1 weak rules on 3 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 3, encoding = FBV, dim = 4, solver = Minisatapi, verbose = False, tracing = False}
SRS with 0 strict rules and 1 weak rules on 2 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, a, b, a, a, b, a, b, a, a, b] -> [ a , a , b , a , b , a , a , b , a , b , a , a , b , a ] {- Input 0 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, a, b, a, a, b, a, b, a, a, b] ->= [ a , a , b , a , b , a , a , b , a , b , a , a , b , a ] {- DP Nontop (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [a#] {- DP (Top 13) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [a#, a, b, a] {- DP (Top 10) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , a , b , a , b , a , a , b , a ] {- DP (Top 5) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , a , b , a , b , a , a , b , a , b , a , a , b , a ] {- DP (Top 0) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [a#, b, a] {- DP (Top 11) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , b , a , a , b , a ] {- DP (Top 8) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , b , a , a , b , a , b , a , a , b , a ] {- DP (Top 3) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , b , a , b , a , a , b , a ] {- DP (Top 6) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [ a# , b , a , b , a , a , b , a , b , a , a , b , a ] {- DP (Top 1) (Input 0) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [a#] {- DP (Top 13) (Input 0) -}
  [a#, a, b, a, a, b, a, b, a, a, b] |-> [a#, a, b, a] {- DP (Top 10) (Input 0) -}
  [a, a, b, a, a, b, a, b, a, a, b] ->= [ a , a , b , a , b , a , a , b , a , b , a , a , b , a ] {- DP Nontop (Input 0) -}
reason
  ( a
  , Wk  / 0A  0A  0A  0A \
        | -4A -4A 0A  0A |
        | -4A -4A -4A 0A |
        \ -4A -4A -4A 0A / )
  ( b
  , Wk  / 0A  0A 4A 4A \
        | 0A  0A 4A 4A |
        | 0A  0A 0A 0A |
        \ -4A 0A 0A 0A / )
  ( a#
  , Wk  / 17A 17A 21A 21A \
        | 17A 17A 21A 21A |
        | 17A 17A 21A 21A |
        \ 17A 17A 21A 21A / )
   property Termination
has value Just True
for SRS
  [a, a, b, a, a, b, a, b, a, a, b] ->= [ a , a , b , a , b , a , a , b , a , b , a , a , b , a ] {- DP Nontop (Input 0) -}
reason
  EDG

**************************************************
skeleton: (1,2)\Deepee(9/1,3)\EDG(2/1,3)\Matrix{\Arctic}{4}(0/1,2)\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)
**************************************************
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 0.794356641000
  min duration 0.470904339000
  total durat. 1.265260980000
Success : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 1.907934461000
  min duration 1.907934461000
  total durat. 1.907934461000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 3
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 52}
    , self = 123
    , parent = Just 13
    , duration = 1.907934461000
    , status = Success
    , start = 2021-07-14 00:02:22.372321535 UTC
    , finish = 2021-07-14 00:02:24.280255996 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '5' ]
                        , 0
                        , True )}
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 1.734234370000
  min duration 1.734234370000
  total durat. 1.734234370000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 5
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 105}
    , self = 126
    , parent = Just 14
    , duration = 1.734234370000
    , status = Fail
    , start = 2021-07-14 00:02:22.548681741 UTC
    , finish = 2021-07-14 00:02:24.282916111 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '5' ]
                        , 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 4
  max duration 1.003524205000
  min duration 0.025741862000
  total durat. 1.718883212000
  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 = 18
      , num_strict_rules = 18
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 11
      , total_length = 558}
    , self = 113
    , parent = Just 51
    , duration = 1.003524205000
    , status = Success
    , start = 2021-07-14 00:02:23.151614111 UTC
    , finish = 2021-07-14 00:02:24.155138316 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '4'
                          , '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 4
  max duration 1.049374923000
  min duration 0.053924158000
  total durat. 1.803086051000
  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 = 18
      , num_strict_rules = 18
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 11
      , total_length = 558}
    , self = 117
    , parent = Just 51
    , duration = 1.049374923000
    , status = Success
    , start = 2021-07-14 00:02:23.153540567 UTC
    , finish = 2021-07-14 00:02:24.20291549 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '5'
                          , '1' ]
                        , 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 0.741589610000
  min duration 0.354617382000
  total durat. 1.096206992000
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 1.665765065000
  min duration 0.342727479000
  total durat. 3.230591401000
  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 = 15
      , num_strict_rules = 12
      , num_top_rules = 12
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 345}
    , self = 105
    , parent = Just 58
    , duration = 1.665765065000
    , status = Success
    , start = 2021-07-14 00:02:22.396659031 UTC
    , finish = 2021-07-14 00:02:24.062424096 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '1'
                          , '5' ]
                        , 3
                        , True )}
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 1.699376973000
  min duration 1.564825108000
  total durat. 3.264202081000
  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 = 5
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 105}
    , self = 93
    , parent = Just 14
    , duration = 1.564825108000
    , status = Success
    , start = 2021-07-14 00:02:21.967418444 UTC
    , finish = 2021-07-14 00:02:23.532243552 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '5'
                          , '1' ]
                        , 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 = 3
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 1
      , alphabet_size = 3
      , total_length = 52}
    , self = 97
    , parent = Just 13
    , duration = 1.699376973000
    , status = Success
    , start = 2021-07-14 00:02:21.970808088 UTC
    , finish = 2021-07-14 00:02:23.670185061 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '6'
                          , '5' ]
                        , 3
                        , True )}
Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 7
  max duration 0.415239324000
  min duration 0.050246766000
  total durat. 1.858696245000
**************************************************