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


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YES
**************************************************
summary
**************************************************
SRS with 9 rules on 6 letters       weights
SRS with 8 rules on 6 letters       DP
SRS with 33 strict rules and 8 weak rules on 10 letters       weights
SRS with 4 strict rules and 8 weak rules on 10 letters       EDG
4 sub-proofs
  1 SRS with 1 rules on 3 letters       Usable
  SRS with 1 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 4 letters       Usable
  SRS with 1 strict rules and 3 weak rules on 4 letters       remove some, by Config   { method = Overlap,width = 4,unlabel = True}
  SRS with 0 strict rules and 1 weak rules on 2 letters       weights
  SRS with 0 rules on 0 letters       no strict rules
  
  3 SRS with 1 strict rules and 3 weak rules on 4 letters       Usable
  SRS with 1 strict rules and 3 weak rules on 4 letters       remove some, by Config   { method = Overlap,width = 4,unlabel = True}
  SRS with 0 strict rules and 1 weak rules on 2 letters       weights
  SRS with 0 rules on 0 letters       no strict rules
  
  4 SRS with 1 strict rules and 3 weak rules on 4 letters       Usable
  SRS with 1 strict rules and 3 weak rules on 4 letters       remove some, by Config   { method = Overlap,width = 8,unlabel = True}
  SRS with 0 strict rules and 2 weak rules on 2 letters       weights
  SRS with 0 rules on 0 letters       no strict rules
  
**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [tower, 0] -> [s, 0, p, s, p, s] {- Input 0 -}
  [tower, s] -> [p, s, p, s, twoto, p, s, p, s, tower, p, s, p, s] {- Input 1 -}
  [twoto, 0] -> [s, 0] {- Input 2 -}
  [twoto, s] -> [ p , p , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- Input 3 -}
  [twice, 0] -> [0] {- Input 4 -}
  [twice, s] -> [p, p, p, s, s, s, s, s, twice, p, p, p, s, s, s] {- Input 5 -}
  [p, p, s] -> [p] {- Input 6 -}
  [p, s] -> [] {- Input 7 -}
  [p, 0] -> [0, s, s, s, s, s, s, s, s] {- Input 8 -}
reason
  (tower, 1/1)
   property Termination
has value Just True
for SRS
  [tower, s] -> [p, s, p, s, twoto, p, s, p, s, tower, p, s, p, s] {- Input 1 -}
  [twoto, 0] -> [s, 0] {- Input 2 -}
  [twoto, s] -> [ p , p , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- Input 3 -}
  [twice, 0] -> [0] {- Input 4 -}
  [twice, s] -> [p, p, p, s, s, s, s, s, twice, p, p, p, s, s, s] {- Input 5 -}
  [p, p, s] -> [p] {- Input 6 -}
  [p, s] -> [] {- Input 7 -}
  [p, 0] -> [0, s, s, s, s, s, s, s, s] {- Input 8 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [tower, s] ->= [ p , s , p , s , twoto , p , s , p , s , tower , p , s , p , s ] {- DP Nontop (Input 1) -}
  [twoto, 0] ->= [s, 0] {- DP Nontop (Input 2) -}
  [twoto, s] ->= [ p , p , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP Nontop (Input 3) -}
  [twice, 0] ->= [0] {- DP Nontop (Input 4) -}
  [twice, s] ->= [ p , p , p , s , s , s , s , s , twice , p , p , p , s , s , s ] {- DP Nontop (Input 5) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
  [tower#, s] |-> [tower#, p, s, p, s] {- DP (Top 9) (Input 1) -}
  [tower#, s] |-> [p#, s] {- DP (Top 12) (Input 1) -}
  [tower#, s] |-> [p#, s, tower, p, s, p, s] {- DP (Top 7) (Input 1) -}
  [tower#, s] |-> [p#, s, p, s] {- DP (Top 10) (Input 1) -}
  [tower#, s] |-> [p#, s, p, s, tower, p, s, p, s] {- DP (Top 5) (Input 1) -}
  [tower#, s] |-> [ p# , s , p , s , twoto , p , s , p , s , tower , p , s , p , s ] {- DP (Top 0) (Input 1) -}
  [tower#, s] |-> [ p# , s , twoto , p , s , p , s , tower , p , s , p , s ] {- DP (Top 2) (Input 1) -}
  [tower#, s] |-> [ twoto# , p , s , p , s , tower , p , s , p , s ] {- DP (Top 4) (Input 1) -}
  [p#, p, s] |-> [p#] {- DP (Top 0) (Input 6) -}
  [twoto#, s] |-> [p#, s] {- DP (Top 30) (Input 3) -}
  [twoto#, s] |-> [p#, s, s, s, twoto, p, s, p, s] {- DP (Top 23) (Input 3) -}
  [twoto#, s] |-> [ p# , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 5) (Input 3) -}
  [twoto#, s] |-> [ p# , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 8) (Input 3) -}
  [twoto#, s] |-> [ p# , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 11) (Input 3) -}
  [twoto#, s] |-> [p#, s, p, s] {- DP (Top 28) (Input 3) -}
  [twoto#, s] |-> [ p# , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 17) (Input 3) -}
  [twoto#, s] |-> [ p# , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 19) (Input 3) -}
  [twoto#, s] |-> [ p# , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 1) (Input 3) -}
  [twoto#, s] |-> [ p# , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 14) (Input 3) -}
  [twoto#, s] |-> [p#, p, s, s, s, twoto, p, s, p, s] {- DP (Top 22) (Input 3) -}
  [twoto#, s] |-> [ p# , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 4) (Input 3) -}
  [twoto#, s] |-> [ p# , p , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 0) (Input 3) -}
  [twoto#, s] |-> [ p# , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 21) (Input 3) -}
  [twoto#, s] |-> [ p# , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 3) (Input 3) -}
  [twoto#, s] |-> [twoto#, p, s, p, s] {- DP (Top 27) (Input 3) -}
  [twoto#, s] |-> [ twice# , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP (Top 16) (Input 3) -}
  [twice#, s] |-> [p#, s, s, s] {- DP (Top 11) (Input 5) -}
  [twice#, s] |-> [ p# , s , s , s , s , s , twice , p , p , p , s , s , s ] {- DP (Top 2) (Input 5) -}
  [twice#, s] |-> [p#, p, s, s, s] {- DP (Top 10) (Input 5) -}
  [twice#, s] |-> [ p# , p , s , s , s , s , s , twice , p , p , p , s , s , s ] {- DP (Top 1) (Input 5) -}
  [twice#, s] |-> [p#, p, p, s, s, s] {- DP (Top 9) (Input 5) -}
  [twice#, s] |-> [ p# , p , p , s , s , s , s , s , twice , p , p , p , s , s , s ] {- DP (Top 0) (Input 5) -}
  [twice#, s] |-> [twice#, p, p, p, s, s, s] {- DP (Top 8) (Input 5) -}
reason
  (tower#, 8/1)
  (twoto#, 7/1)
  (twice#, 6/1)
   property Termination
has value Just True
for SRS
  [tower, s] ->= [ p , s , p , s , twoto , p , s , p , s , tower , p , s , p , s ] {- DP Nontop (Input 1) -}
  [twoto, 0] ->= [s, 0] {- DP Nontop (Input 2) -}
  [twoto, s] ->= [ p , p , s , p , p , p , s , s , p , s , s , p , s , s , p , s , twice , p , s , p , s , p , p , p , s , s , s , twoto , p , s , p , s ] {- DP Nontop (Input 3) -}
  [twice, 0] ->= [0] {- DP Nontop (Input 4) -}
  [twice, s] ->= [ p , p , p , s , s , s , s , s , twice , p , p , p , s , s , s ] {- DP Nontop (Input 5) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
  [tower#, s] |-> [tower#, p, s, p, s] {- DP (Top 9) (Input 1) -}
  [p#, p, s] |-> [p#] {- DP (Top 0) (Input 6) -}
  [twoto#, s] |-> [twoto#, p, s, p, s] {- DP (Top 27) (Input 3) -}
  [twice#, s] |-> [twice#, p, p, p, s, s, s] {- DP (Top 8) (Input 5) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [p#, p, s] |-> [p#] {- DP (Top 0) (Input 6) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [p#, p, s] |-> [p#] {- DP (Top 0) (Input 6) -}
reason
  (s, 1/1)
  (p, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

property Termination
has value Just True
for SRS
  [tower#, s] |-> [tower#, p, s, p, s] {- DP (Top 9) (Input 1) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [tower#, s] |-> [tower#, p, s, p, s] {- DP (Top 9) (Input 1) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Tiling   { method = Overlap, width = 4, state_type = Bit64, 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}
  steps 2
  using 17 tiles
  remove some unmatched rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [p, s] ->= [] {- DP Nontop (Input 7) -}
reason
  (p, 1/1)
  (s, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

property Termination
has value Just True
for SRS
  [twoto#, s] |-> [twoto#, p, s, p, s] {- DP (Top 27) (Input 3) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [twoto#, s] |-> [twoto#, p, s, p, s] {- DP (Top 27) (Input 3) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Tiling   { method = Overlap, width = 4, state_type = Bit64, 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}
  steps 2
  using 17 tiles
  remove some unmatched rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [p, s] ->= [] {- DP Nontop (Input 7) -}
reason
  (p, 1/1)
  (s, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

property Termination
has value Just True
for SRS
  [twice#, s] |-> [twice#, p, p, p, s, s, s] {- DP (Top 8) (Input 5) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [twice#, s] |-> [twice#, p, p, p, s, s, s] {- DP (Top 8) (Input 5) -}
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
  [p, 0] ->= [0, s, s, s, s, s, s, s, s] {- DP Nontop (Input 8) -}
reason
  Tiling   { method = Overlap, width = 8, state_type = Bit64, 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}
  steps 3
  using 27 tiles
  remove some unmatched rules
  steps: 3
  
   property Termination
has value Just True
for SRS
  [p, p, s] ->= [p] {- DP Nontop (Input 6) -}
  [p, s] ->= [] {- DP Nontop (Input 7) -}
reason
  (p, 1/1)
  (s, 1/1)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: (9,6)\Weight(8,6)\Deepee(33/8,10)\Weight(4/8,10)\EDG[\Usable(1,3)\Weight(0,0)[],\Usable(1/3,4)\TileRemoveROC{4}(0/1,2)\Weight(0,0)[],\Usable(1/3,4)\TileRemoveROC{4}(0/1,2)\Weight(0,0)[],\Usable(1/3,4)\TileRemoveROC{8}(0/2,2)\Weight(0,0)[]]
**************************************************
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)
**************************************************

**************************************************