/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 35 rules on 15 letters       weights
SRS with 6 rules on 5 letters       mirror
SRS with 6 rules on 5 letters       DP
SRS with 14 strict rules and 6 weak rules on 8 letters       weights
SRS with 0 strict rules and 6 weak rules on 5 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a12, a12, a12, a12] -> [] {- Input 0 -}
  [a13, a13, a13, a13] -> [] {- Input 1 -}
  [a14, a14, a14, a14] -> [] {- Input 2 -}
  [a15, a15, a15, a15] -> [] {- Input 3 -}
  [a16, a16, a16, a16] -> [] {- Input 4 -}
  [a23, a23, a23, a23] -> [] {- Input 5 -}
  [a24, a24, a24, a24] -> [] {- Input 6 -}
  [a25, a25, a25, a25] -> [] {- Input 7 -}
  [a26, a26, a26, a26] -> [] {- Input 8 -}
  [a34, a34, a34, a34] -> [] {- Input 9 -}
  [a35, a35, a35, a35] -> [] {- Input 10 -}
  [a36, a36, a36, a36] -> [] {- Input 11 -}
  [a45, a45, a45, a45] -> [] {- Input 12 -}
  [a46, a46, a46, a46] -> [] {- Input 13 -}
  [a56, a56, a56, a56] -> [] {- Input 14 -}
  [a13, a13] -> [a12, a12, a23, a23, a12, a12] {- Input 15 -}
  [a14, a14] -> [a12, a12, a23, a23, a34, a34, a23, a23, a12, a12] {- Input 16 -}
  [a15, a15] -> [ a12 , a12 , a23 , a23 , a34 , a34 , a45 , a45 , a34 , a34 , a23 , a23 , a12 , a12 ] {- Input 17 -}
  [a16, a16] -> [ a12 , a12 , a23 , a23 , a34 , a34 , a45 , a45 , a56 , a56 , a45 , a45 , a34 , a34 , a23 , a23 , a12 , a12 ] {- Input 18 -}
  [a24, a24] -> [a23, a23, a34, a34, a23, a23] {- Input 19 -}
  [a25, a25] -> [a23, a23, a34, a34, a45, a45, a34, a34, a23, a23] {- Input 20 -}
  [a26, a26] -> [ a23 , a23 , a34 , a34 , a45 , a45 , a56 , a56 , a45 , a45 , a34 , a34 , a23 , a23 ] {- Input 21 -}
  [a35, a35] -> [a34, a34, a45, a45, a34, a34] {- Input 22 -}
  [a36, a36] -> [a34, a34, a45, a45, a56, a56, a45, a45, a34, a34] {- Input 23 -}
  [a46, a46] -> [a45, a45, a56, a56, a45, a45] {- Input 24 -}
  [ a12 , a12 , a23 , a23 , a12 , a12 , a23 , a23 , a12 , a12 , a23 , a23 ] -> [] {- Input 25 -}
  [ a23 , a23 , a34 , a34 , a23 , a23 , a34 , a34 , a23 , a23 , a34 , a34 ] -> [] {- Input 26 -}
  [ a34 , a34 , a45 , a45 , a34 , a34 , a45 , a45 , a34 , a34 , a45 , a45 ] -> [] {- Input 27 -}
  [ a45 , a45 , a56 , a56 , a45 , a45 , a56 , a56 , a45 , a45 , a56 , a56 ] -> [] {- Input 28 -}
  [a12, a12, a34, a34] -> [a34, a34, a12, a12] {- Input 29 -}
  [a12, a12, a45, a45] -> [a45, a45, a12, a12] {- Input 30 -}
  [a12, a12, a56, a56] -> [a56, a56, a12, a12] {- Input 31 -}
  [a23, a23, a45, a45] -> [a45, a45, a23, a23] {- Input 32 -}
  [a23, a23, a56, a56] -> [a56, a56, a23, a23] {- Input 33 -}
  [a34, a34, a56, a56] -> [a56, a56, a34, a34] {- Input 34 -}
reason
  (a12, 2/1)
  (a13, 49/2)
  (a14, 49/2)
  (a15, 49/2)
  (a16, 49/2)
  (a23, 3/1)
  (a24, 49/2)
  (a25, 49/2)
  (a26, 49/2)
  (a34, 3/1)
  (a35, 49/2)
  (a36, 49/2)
  (a45, 3/1)
  (a46, 49/2)
  (a56, 2/1)
   property Termination
has value Just True
for SRS
  [a12, a12, a34, a34] -> [a34, a34, a12, a12] {- Input 29 -}
  [a12, a12, a45, a45] -> [a45, a45, a12, a12] {- Input 30 -}
  [a12, a12, a56, a56] -> [a56, a56, a12, a12] {- Input 31 -}
  [a23, a23, a45, a45] -> [a45, a45, a23, a23] {- Input 32 -}
  [a23, a23, a56, a56] -> [a56, a56, a23, a23] {- Input 33 -}
  [a34, a34, a56, a56] -> [a56, a56, a34, a34] {- Input 34 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a34, a34, a12, a12] -> [a12, a12, a34, a34] {- Mirror (Input 29) -}
  [a45, a45, a12, a12] -> [a12, a12, a45, a45] {- Mirror (Input 30) -}
  [a56, a56, a12, a12] -> [a12, a12, a56, a56] {- Mirror (Input 31) -}
  [a45, a45, a23, a23] -> [a23, a23, a45, a45] {- Mirror (Input 32) -}
  [a56, a56, a23, a23] -> [a23, a23, a56, a56] {- Mirror (Input 33) -}
  [a56, a56, a34, a34] -> [a34, a34, a56, a56] {- Mirror (Input 34) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a34, a34, a12, a12] ->= [ a12 , a12 , a34 , a34 ] {- DP Nontop (Mirror (Input 29)) -}
  [a45, a45, a12, a12] ->= [ a12 , a12 , a45 , a45 ] {- DP Nontop (Mirror (Input 30)) -}
  [a56, a56, a12, a12] ->= [ a12 , a12 , a56 , a56 ] {- DP Nontop (Mirror (Input 31)) -}
  [a45, a45, a23, a23] ->= [ a23 , a23 , a45 , a45 ] {- DP Nontop (Mirror (Input 32)) -}
  [a56, a56, a23, a23] ->= [ a23 , a23 , a56 , a56 ] {- DP Nontop (Mirror (Input 33)) -}
  [a56, a56, a34, a34] ->= [ a34 , a34 , a56 , a56 ] {- DP Nontop (Mirror (Input 34)) -}
  [a34#, a34, a12, a12] |-> [a34#] {- DP (Top 3) (Mirror (Input 29)) -}
  [a34#, a34, a12, a12] |-> [a34#, a34] {- DP (Top 2) (Mirror (Input 29)) -}
  [a45#, a45, a12, a12] |-> [a45#] {- DP (Top 3) (Mirror (Input 30)) -}
  [a45#, a45, a12, a12] |-> [a45#, a45] {- DP (Top 2) (Mirror (Input 30)) -}
  [a45#, a45, a23, a23] |-> [a45#] {- DP (Top 3) (Mirror (Input 32)) -}
  [a45#, a45, a23, a23] |-> [a45#, a45] {- DP (Top 2) (Mirror (Input 32)) -}
  [a56#, a56, a12, a12] |-> [a56#] {- DP (Top 3) (Mirror (Input 31)) -}
  [a56#, a56, a12, a12] |-> [a56#, a56] {- DP (Top 2) (Mirror (Input 31)) -}
  [a56#, a56, a23, a23] |-> [a56#] {- DP (Top 3) (Mirror (Input 33)) -}
  [a56#, a56, a23, a23] |-> [a56#, a56] {- DP (Top 2) (Mirror (Input 33)) -}
  [a56#, a56, a34, a34] |-> [ a34# , a34 , a56 , a56 ] {- DP (Top 0) (Mirror (Input 34)) -}
  [a56#, a56, a34, a34] |-> [a34#, a56, a56] {- DP (Top 1) (Mirror (Input 34)) -}
  [a56#, a56, a34, a34] |-> [a56#] {- DP (Top 3) (Mirror (Input 34)) -}
  [a56#, a56, a34, a34] |-> [a56#, a56] {- DP (Top 2) (Mirror (Input 34)) -}
reason
  (a34, 5/1)
  (a12, 4/1)
  (a45, 2/1)
  (a23, 3/1)
  (a56#, 2/1)
   property Termination
has value Just True
for SRS
  [a34, a34, a12, a12] ->= [ a12 , a12 , a34 , a34 ] {- DP Nontop (Mirror (Input 29)) -}
  [a45, a45, a12, a12] ->= [ a12 , a12 , a45 , a45 ] {- DP Nontop (Mirror (Input 30)) -}
  [a56, a56, a12, a12] ->= [ a12 , a12 , a56 , a56 ] {- DP Nontop (Mirror (Input 31)) -}
  [a45, a45, a23, a23] ->= [ a23 , a23 , a45 , a45 ] {- DP Nontop (Mirror (Input 32)) -}
  [a56, a56, a23, a23] ->= [ a23 , a23 , a56 , a56 ] {- DP Nontop (Mirror (Input 33)) -}
  [a56, a56, a34, a34] ->= [ a34 , a34 , a56 , a56 ] {- DP Nontop (Mirror (Input 34)) -}
reason
  EDG

**************************************************
skeleton: (35,15)\Weight\Mirror(6,5)\Deepee(14/6,8)\Weight(0/6,5)\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)
**************************************************

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