/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       DP
SRS with 6 strict rules and 3 weak rules on 6 letters       weights
SRS with 4 strict rules and 3 weak rules on 6 letters       EDG
SRS with 4 strict rules and 3 weak rules on 6 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 8, encoding = Ersatz_Binary, dim = 4, solver = Minisatapi, verbose = True, tracing = False}
SRS with 3 strict rules and 3 weak rules on 6 letters       weights
SRS with 0 strict rules and 3 weak rules on 3 letters       EDG

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

**************************************************
skeleton: (3,3)\Deepee(6/3,6)\Weight\EDG(4/3,6)\Matrix{\Arctic}{4}(3/3,6)\Weight(0/3,3)\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)
**************************************************
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 1.778105452000
  min duration 1.490175749000
  total durat. 3.268281201000
  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 = 6
      , total_length = 26}
    , self = 45
    , parent = Just 16
    , duration = 1.490175749000
    , status = Fail
    , start = 2021-07-13 23:28:07.526732307 UTC
    , finish = 2021-07-13 23:28:09.016908056 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '3'
                          , '4' ]
                        , 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 = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 28}
    , self = 50
    , parent = Just 15
    , duration = 1.778105452000
    , status = Fail
    , start = 2021-07-13 23:28:07.526400031 UTC
    , finish = 2021-07-13 23:28:09.304505483 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '1'
                          , '1' ]
                        , 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 8.119783972000
  min duration 8.119783972000
  total durat. 8.119783972000
  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 = 6
      , total_length = 26}
    , self = 63
    , parent = Just 16
    , duration = 8.119783972000
    , status = Success
    , start = 2021-07-13 23:28:09.017151111 UTC
    , finish = 2021-07-13 23:28:17.136935083 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '8' ]
                        , 0
                        , True )}
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 2.472912759000
  min duration 1.780356754000
  total durat. 4.253269513000
  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 = 6
      , total_length = 26}
    , self = 53
    , parent = Just 16
    , duration = 1.780356754000
    , status = Fail
    , start = 2021-07-13 23:28:07.981312783 UTC
    , finish = 2021-07-13 23:28:09.761669537 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '7' ]
                        , 0
                        , True )}
  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 = 6
      , total_length = 28}
    , self = 60
    , parent = Just 15
    , duration = 2.472912759000
    , status = Fail
    , start = 2021-07-13 23:28:08.013856176 UTC
    , finish = 2021-07-13 23:28:10.486768935 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '0' ]
                        , 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 1.712328174000
  min duration 0.064068660000
  total durat. 1.776396834000
  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 = 44
      , num_strict_rules = 44
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 14
      , total_length = 268}
    , self = 51
    , parent = Just 28
    , duration = 1.712328174000
    , status = Success
    , start = 2021-07-13 23:28:07.756673161 UTC
    , finish = 2021-07-13 23:28:09.469001335 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 2.061501888000
  min duration 0.041694285000
  total durat. 2.103196173000
  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 = 44
      , num_strict_rules = 44
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 14
      , total_length = 268}
    , self = 54
    , parent = Just 28
    , duration = 2.061501888000
    , status = Success
    , start = 2021-07-13 23:28:07.75663926 UTC
    , finish = 2021-07-13 23:28:09.818141148 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '8'
                          , '3' ]
                        , 3
                        , True )}
Fail : Tiling { method = Overlap , 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 4.288584341000
  min duration 4.288584341000
  total durat. 4.288584341000
  Info
    { what = Tiling
      { method = Overlap
      , 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 = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 26}
    , self = 61
    , parent = Just 16
    , duration = 4.288584341000
    , status = Fail
    , start = 2021-07-13 23:28:07.535222617 UTC
    , finish = 2021-07-13 23:28:11.823806958 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '6'
                          , '9' ]
                        , 3
                        , True )}
Fail : Tiling { method = Overlap , width = 8 , 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 6.875868950000
  min duration 6.875868950000
  total durat. 6.875868950000
  Info
    { what = Tiling
      { method = Overlap
      , width = 8
      , 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 = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 28}
    , self = 62
    , parent = Just 15
    , duration = 6.875868950000
    , status = Fail
    , start = 2021-07-13 23:28:07.535040049 UTC
    , finish = 2021-07-13 23:28:14.410908999 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '5'
                          , '1' ]
                        , 3
                        , True )}
Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 5
  max duration 2.342244219000
  min duration 0.000385826000
  total durat. 3.714213003000
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 91
      , num_strict_rules = 14
      , num_top_rules = 14
      , num_weak_rules = 77
      , alphabet_size = 27
      , total_length = 548}
    , self = 46
    , parent = Just 35
    , duration = 1.365536588000
    , status = Success
    , start = 2021-07-13 23:28:07.734580801 UTC
    , finish = 2021-07-13 23:28:09.100117389 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '7'
                          , '7' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 95
      , num_strict_rules = 15
      , num_top_rules = 15
      , num_weak_rules = 80
      , alphabet_size = 27
      , total_length = 575}
    , self = 56
    , parent = Just 38
    , duration = 2.342244219000
    , status = Success
    , start = 2021-07-13 23:28:07.73956113 UTC
    , finish = 2021-07-13 23:28:10.081805349 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '7'
                          , '8' ]
                        , 3
                        , False )}
**************************************************