/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 3 rules on 2 letters       mirror
SRS with 3 rules on 2 letters       DP
SRS with 12 strict rules and 3 weak rules on 4 letters       weights
SRS with 2 strict rules and 3 weak rules on 4 letters       EDG
2 sub-proofs
  1 SRS with 1 strict rules and 1 weak rules on 3 letters       Usable
  SRS with 1 strict rules and 1 weak rules on 3 letters       weights
  SRS with 0 rules on 0 letters       no strict rules
  
  2 SRS with 1 strict rules and 3 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 3 weak rules on 2 letters       EDG
  
**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [b, b, b, a] -> [a, b, a, a] {- Input 0 -}
  [a, a, a, a] -> [b, a, a, b] {- Input 1 -}
  [a, a, a, b] -> [b, b, b, b] {- Input 2 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a, b, b, b] -> [a, a, b, a] {- Mirror (Input 0) -}
  [a, a, a, a] -> [b, a, a, b] {- Mirror (Input 1) -}
  [b, a, a, a] -> [b, b, b, b] {- Mirror (Input 2) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, b, b, b] ->= [a, a, b, a] {- DP Nontop (Mirror (Input 0)) -}
  [a, a, a, a] ->= [b, a, a, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
  [b#, a, a, a] |-> [b#] {- DP (Top 3) (Mirror (Input 2)) -}
  [b#, a, a, a] |-> [b#, b] {- DP (Top 2) (Mirror (Input 2)) -}
  [b#, a, a, a] |-> [b#, b, b] {- DP (Top 1) (Mirror (Input 2)) -}
  [b#, a, a, a] |-> [b#, b, b, b] {- DP (Top 0) (Mirror (Input 2)) -}
  [a#, b, b, b] |-> [b#, a] {- DP (Top 2) (Mirror (Input 0)) -}
  [a#, b, b, b] |-> [a#] {- DP (Top 3) (Mirror (Input 0)) -}
  [a#, b, b, b] |-> [a#, b, a] {- DP (Top 1) (Mirror (Input 0)) -}
  [a#, b, b, b] |-> [a#, a, b, a] {- DP (Top 0) (Mirror (Input 0)) -}
  [a#, a, a, a] |-> [b#] {- DP (Top 3) (Mirror (Input 1)) -}
  [a#, a, a, a] |-> [b#, a, a, b] {- DP (Top 0) (Mirror (Input 1)) -}
  [a#, a, a, a] |-> [a#, b] {- DP (Top 2) (Mirror (Input 1)) -}
  [a#, a, a, a] |-> [a#, a, b] {- DP (Top 1) (Mirror (Input 1)) -}
reason
  (a, 1/2)
  (b, 1/2)
  (a#, 1/1)
   property Termination
has value Just True
for SRS
  [a, b, b, b] ->= [a, a, b, a] {- DP Nontop (Mirror (Input 0)) -}
  [a, a, a, a] ->= [b, a, a, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
  [b#, a, a, a] |-> [b#, b, b, b] {- DP (Top 0) (Mirror (Input 2)) -}
  [a#, b, b, b] |-> [a#, a, b, a] {- DP (Top 0) (Mirror (Input 0)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [b#, a, a, a] |-> [b#, b, b, b] {- DP (Top 0) (Mirror (Input 2)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [b#, a, a, a] |-> [b#, b, b, b] {- DP (Top 0) (Mirror (Input 2)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  (a, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

property Termination
has value Just True
for SRS
  [a#, b, b, b] |-> [a#, a, b, a] {- DP (Top 0) (Mirror (Input 0)) -}
  [a, b, b, b] ->= [a, a, b, a] {- DP Nontop (Mirror (Input 0)) -}
  [a, a, a, a] ->= [b, a, a, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  ( a
  , Wk  / 8A 8A 8A 8A \
        | 4A 4A 4A 4A |
        | 4A 4A 4A 4A |
        \ 4A 4A 4A 4A / )
  ( b
  , Wk  / 4A 4A 8A 8A \
        | 4A 4A 8A 8A |
        | 4A 4A 4A 8A |
        \ 4A 4A 4A 4A / )
  ( a#
  , Wk  / 4A 7A 8A 8A \
        | 4A 7A 8A 8A |
        | 4A 7A 8A 8A |
        \ 4A 7A 8A 8A / )
   property Termination
has value Just True
for SRS
  [a, b, b, b] ->= [a, a, b, a] {- DP Nontop (Mirror (Input 0)) -}
  [a, a, a, a] ->= [b, a, a, b] {- DP Nontop (Mirror (Input 1)) -}
  [b, a, a, a] ->= [b, b, b, b] {- DP Nontop (Mirror (Input 2)) -}
reason
  EDG

**************************************************
skeleton: \Mirror(3,2)\Deepee(12/3,4)\Weight(2/3,4)\EDG[\Usable(1/1,3)\Weight(0,0)[],(1/3,3)\Matrix{\Arctic}{4}(0/3,2)\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 = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 1
  max duration 2.630901195000
  min duration 2.630901195000
  total durat. 2.630901195000
  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 = 3
      , total_length = 32}
    , self = 71
    , parent = Just 16
    , duration = 2.630901195000
    , status = Fail
    , start = 2021-07-13 23:37:35.415656191 UTC
    , finish = 2021-07-13 23:37:38.046557386 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '1'
                          , '4' ]
                        , 0
                        , True )}
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 2.637040931000
  min duration 2.637040931000
  total durat. 2.637040931000
  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 = 6
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 48}
    , self = 78
    , parent = Just 15
    , duration = 2.637040931000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:37:35.418433121 UTC
    , finish = 2021-07-13 23:37:38.055474052 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '3'
                          , '7' ]
                        , 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 = 3 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 1
  max duration 2.037056530000
  min duration 2.037056530000
  total durat. 2.037056530000
  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 = 4
      , num_strict_rules = 1
      , num_top_rules = 1
      , num_weak_rules = 3
      , alphabet_size = 3
      , total_length = 32}
    , self = 76
    , parent = Just 16
    , duration = 2.037056530000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:37:36.015988059 UTC
    , finish = 2021-07-13 23:37:38.053044589 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '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 0.880859069000
  min duration 0.600176120000
  total durat. 1.481035189000
Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 2
  max duration 0.720970080000
  min duration 0.473886357000
  total durat. 1.194856437000
Success : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 1
  max duration 2.158161434000
  min duration 2.158161434000
  total durat. 2.158161434000
  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 = 3
      , total_length = 32}
    , self = 72
    , parent = Just 16
    , duration = 2.158161434000
    , status = Success
    , start = 2021-07-13 23:37:35.891531918 UTC
    , finish = 2021-07-13 23:37:38.049693352 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 1
  max duration 1.915800870000
  min duration 1.915800870000
  total durat. 1.915800870000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 6
      , num_strict_rules = 3
      , num_top_rules = 3
      , num_weak_rules = 3
      , alphabet_size = 4
      , total_length = 48}
    , self = 77
    , parent = Just 15
    , duration = 1.915800870000
    , status = Fail
    , start = 2021-07-13 23:37:36.139550594 UTC
    , finish = 2021-07-13 23:37:38.055351464 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '6' ]
                        , 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 0.696714587000
  min duration 0.030944208000
  total durat. 1.065259534000
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 1
  max duration 2.558403280000
  min duration 2.558403280000
  total durat. 2.558403280000
  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 = 3
      , num_strict_rules = 3
      , num_top_rules = 0
      , num_weak_rules = 0
      , alphabet_size = 2
      , total_length = 24}
    , self = 69
    , parent = Just 0
    , duration = 2.558403280000
    , status = Success
    , start = 2021-07-13 23:37:35.413334278 UTC
    , finish = 2021-07-13 23:37:37.971737558 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '6'
                          , '4' ]
                        , 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 3
  max duration 0.918500401000
  min duration 0.045060528000
  total durat. 1.644404287000
**************************************************