/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 4 rules on 4 letters       mirror
SRS with 4 rules on 4 letters       DP
SRS with 10 strict rules and 4 weak rules on 8 letters       weights
SRS with 7 strict rules and 4 weak rules on 8 letters       EDG
2 sub-proofs
  1 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
  
  2 SRS with 6 strict rules and 3 weak rules on 6 letters       Usable
  SRS with 6 strict rules and 3 weak rules on 6 letters       weights
  SRS with 1 strict rules and 3 weak rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 8, encoding = Ersatz_Binary, dim = 4, solver = Minisatapi, verbose = True, tracing = False}
  SRS with 0 strict rules and 3 weak rules on 3 letters       EDG
  
**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, b, a] -> [b, c] {- Input 0 -}
  [b, b, b] -> [c, b] {- Input 1 -}
  [c] -> [a, b] {- Input 2 -}
  [c, d] -> [d, c, b, a] {- Input 3 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a, b, a] -> [c, b] {- Mirror (Input 0) -}
  [b, b, b] -> [b, c] {- Mirror (Input 1) -}
  [c] -> [b, a] {- Mirror (Input 2) -}
  [d, c] -> [a, b, c, d] {- Mirror (Input 3) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
  [d, c] ->= [a, b, c, d] {- DP Nontop (Mirror (Input 3)) -}
  [a#, b, a] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [a#, b, a] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [b#, b, b] |-> [b#, c] {- DP (Top 0) (Mirror (Input 1)) -}
  [b#, b, b] |-> [c#] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#] |-> [a#] {- DP (Top 1) (Mirror (Input 2)) -}
  [c#] |-> [b#, a] {- DP (Top 0) (Mirror (Input 2)) -}
  [d#, c] |-> [a#, b, c, d] {- DP (Top 0) (Mirror (Input 3)) -}
  [d#, c] |-> [b#, c, d] {- DP (Top 1) (Mirror (Input 3)) -}
  [d#, c] |-> [c#, d] {- DP (Top 2) (Mirror (Input 3)) -}
  [d#, c] |-> [d#] {- DP (Top 3) (Mirror (Input 3)) -}
reason
  (d#, 3/1)
   property Termination
has value Just True
for SRS
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
  [d, c] ->= [a, b, c, d] {- DP Nontop (Mirror (Input 3)) -}
  [a#, b, a] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [a#, b, a] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [b#, b, b] |-> [b#, c] {- DP (Top 0) (Mirror (Input 1)) -}
  [b#, b, b] |-> [c#] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#] |-> [a#] {- DP (Top 1) (Mirror (Input 2)) -}
  [c#] |-> [b#, a] {- DP (Top 0) (Mirror (Input 2)) -}
  [d#, c] |-> [d#] {- DP (Top 3) (Mirror (Input 3)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [d#, c] |-> [d#] {- DP (Top 3) (Mirror (Input 3)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [d#, c] |-> [d#] {- DP (Top 3) (Mirror (Input 3)) -}
reason
  (c, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

property Termination
has value Just True
for SRS
  [a#, b, a] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [b#, b, b] |-> [c#] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#] |-> [b#, a] {- DP (Top 0) (Mirror (Input 2)) -}
  [b#, b, b] |-> [b#, c] {- DP (Top 0) (Mirror (Input 1)) -}
  [c#] |-> [a#] {- DP (Top 1) (Mirror (Input 2)) -}
  [a#, b, a] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [a#, b, a] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [b#, b, b] |-> [c#] {- DP (Top 1) (Mirror (Input 1)) -}
  [c#] |-> [b#, a] {- DP (Top 0) (Mirror (Input 2)) -}
  [b#, b, b] |-> [b#, c] {- DP (Top 0) (Mirror (Input 1)) -}
  [c#] |-> [a#] {- DP (Top 1) (Mirror (Input 2)) -}
  [a#, b, a] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
reason
  (a, 3/1)
  (b, 3/1)
  (c, 6/1)
  (a#, 3/1)
  (c#, 5/1)
   property Termination
has value Just True
for SRS
  [b#, b, b] |-> [b#, c] {- DP (Top 0) (Mirror (Input 1)) -}
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
reason
  ( a
  , Wk  / 1A 2A - -  \
        | -  3A - 3A |
        | 0A 0A - 0A |
        \ -  -  - 0A / )
  ( b
  , Wk  / -  3A -  3A \
        | -  -  -  0A |
        | 1A 0A 3A 1A |
        \ -  -  -  0A / )
  ( c
  , Wk  / -  6A - 6A \
        | -  -  - 0A |
        | 3A 3A - 3A |
        \ -  -  - 0A / )
  ( b#
  , Wk  / 1A 7A 4A 7A \
        | -  -  -  -  |
        | -  -  -  -  |
        \ -  -  -  0A / )
   property Termination
has value Just True
for SRS
  [a, b, a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, b, b] ->= [b, c] {- DP Nontop (Mirror (Input 1)) -}
  [c] ->= [b, a] {- DP Nontop (Mirror (Input 2)) -}
reason
  EDG

**************************************************
skeleton: \Mirror(4,4)\Deepee(10/4,8)\Weight(7/4,8)\EDG[\Usable(1,2)\Weight(0,0)[],\Usable(6/3,6)\Weight(1/3,4)\Matrix{\Arctic}{4}(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 3.069414148000
  min duration 1.255569319000
  total durat. 4.324983467000
  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 = 4
      , num_strict_rules = 1
      , num_top_rules = 1
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 18}
    , self = 70
    , parent = Just 22
    , duration = 1.255569319000
    , status = Fail
    , start = 2021-07-13 23:35:51.436192184 UTC
    , finish = 2021-07-13 23:35:52.691761503 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '5'
                          , '5' ]
                        , 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 = 3
      , num_top_rules = 3
      , num_weak_rules = 4
      , alphabet_size = 7
      , total_length = 32}
    , self = 81
    , parent = Just 60
    , duration = 3.069414148000
    , status = Fail
    , start = 2021-07-13 23:35:52.091444794 UTC
    , finish = 2021-07-13 23:35:55.160858942 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '6'
                          , '6' ]
                        , 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 8.109522783000
  min duration 8.109522783000
  total durat. 8.109522783000
  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 = 4
      , num_strict_rules = 1
      , num_top_rules = 1
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 18}
    , self = 85
    , parent = Just 22
    , duration = 8.109522783000
    , status = Success
    , start = 2021-07-13 23:35:52.693997936 UTC
    , finish = 2021-07-13 23:36:00.803520719 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '9'
                          , '3' ]
                        , 0
                        , True )}
Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 3
  max duration 0.658173477000
  min duration 0.296685065000
  total durat. 1.602540080000
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 3.185034576000
  min duration 1.504326034000
  total durat. 4.689360610000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 4
      , num_strict_rules = 1
      , num_top_rules = 1
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 18}
    , self = 75
    , parent = Just 22
    , duration = 1.504326034000
    , status = Fail
    , start = 2021-07-13 23:35:51.733095763 UTC
    , finish = 2021-07-13 23:35:53.237421797 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '3' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 4
      , alphabet_size = 7
      , total_length = 32}
    , self = 84
    , parent = Just 60
    , duration = 3.185034576000
    , status = Fail
    , start = 2021-07-13 23:35:52.742473721 UTC
    , finish = 2021-07-13 23:35:55.927508297 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '9'
                          , '7' ]
                        , 0
                        , True )}
Fail : QPI { dim = 6, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 7.628376498000
  min duration 4.932705956000
  total durat. 12.561082454000
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 4
      , alphabet_size = 7
      , total_length = 32}
    , self = 88
    , parent = Just 60
    , duration = 4.932705956000
    , status = Fail
    , start = 2021-07-13 23:35:55.933581665 UTC
    , finish = 2021-07-13 23:36:00.866287621 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '2'
                          , '0' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 4
      , num_strict_rules = 1
      , num_top_rules = 1
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 18}
    , self = 89
    , parent = Just 22
    , duration = 7.628376498000
    , status = Fail
    , start = 2021-07-13 23:35:53.237889189 UTC
    , finish = 2021-07-13 23:36:00.866265687 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '0'
                          , '4' ]
                        , 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 3
  max duration 3.377040222000
  min duration 0.050950807000
  total durat. 3.549808535000
  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 = 40
      , num_strict_rules = 40
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 13
      , total_length = 256}
    , self = 82
    , parent = Just 46
    , duration = 3.377040222000
    , status = Success
    , start = 2021-07-13 23:35:51.883181284 UTC
    , finish = 2021-07-13 23:35:55.260221506 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '4' ]
                        , 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 0.715765509000
  min duration 0.170262296000
  total durat. 1.503544824000
Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 9
  max duration 2.317649929000
  min duration 0.000573075000
  total durat. 5.181701851000
  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 = 95
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 23
      , total_length = 635}
    , self = 76
    , parent = Just 43
    , duration = 2.132760878000
    , status = Success
    , start = 2021-07-13 23:35:51.626460062 UTC
    , finish = 2021-07-13 23:35:53.75922094 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '1'
                          , '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 = 95
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 23
      , total_length = 635}
    , self = 77
    , parent = Just 69
    , duration = 2.317649929000
    , status = Success
    , start = 2021-07-13 23:35:52.160360748 UTC
    , finish = 2021-07-13 23:35:54.478010677 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '8'
                          , '8' ]
                        , 3
                        , False )}
**************************************************