/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
**************************************************
summary
**************************************************
SRS with 4 rules on 3 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 24 rules on 10 letters       weights
SRS with 20 rules on 9 letters       unlabel
SRS with 2 rules on 2 letters       mirror
SRS with 2 rules on 2 letters       DP
SRS with 4 strict rules and 2 weak rules on 4 letters       weights
SRS with 2 strict rules and 2 weak rules on 4 letters       EDG
SRS with 2 strict rules and 2 weak rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
SRS with 1 strict rules and 2 weak rules on 4 letters       weights
SRS with 0 strict rules and 2 weak rules on 2 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [b, a, b] -> [a, b, a] {- Input 0 -}
  [b, b, a] -> [b, b, b] {- Input 1 -}
  [c, a] -> [a, b, c] {- Input 2 -}
  [c, b] -> [b, a, c] {- Input 3 -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 1
  using 11 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, b], [b, a], [a, b], [b, >]] -> [ [<, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, b], [b, a], [a, b], [b, b]] -> [ [<, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, b], [b, a], [a, b], [b, a]] -> [ [<, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[<, b], [b, a], [a, b], [b, c]] -> [ [<, a] , [a, b] , [b, a] , [ a , c ] ] {- Semlab 0 (Concon 3 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, >]] -> [ [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, b]] -> [ [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, a]] -> [ [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, c]] -> [ [b, a] , [a, b] , [b, a] , [ a , c ] ] {- Semlab 1 (Concon 3 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, >]] -> [ [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, b]] -> [ [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, a]] -> [ [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, c]] -> [ [a, a] , [a, b] , [b, a] , [ a , c ] ] {- Semlab 2 (Concon 3 (Input 0)) -}
  [[<, b], [b, b], [b, a], [a, >]] -> [ [<, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, a]] -> [ [<, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, c]] -> [ [<, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 0 (Concon 3 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, >]] -> [ [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, a]] -> [ [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, c]] -> [ [b, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, >]] -> [ [a, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, a]] -> [ [a, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, c]] -> [ [a, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 2 (Concon 3 (Input 1)) -}
reason
  ([<, b], 4/1)
   property Termination
has value Just True
for SRS
  [[b, b], [b, a], [a, b], [b, >]] -> [ [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, b]] -> [ [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, a]] -> [ [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[b, b], [b, a], [a, b], [b, c]] -> [ [b, a] , [a, b] , [b, a] , [ a , c ] ] {- Semlab 1 (Concon 3 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, >]] -> [ [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, b]] -> [ [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, a]] -> [ [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[a, b], [b, a], [a, b], [b, c]] -> [ [a, a] , [a, b] , [b, a] , [ a , c ] ] {- Semlab 2 (Concon 3 (Input 0)) -}
  [[<, b], [b, b], [b, a], [a, >]] -> [ [<, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, a]] -> [ [<, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, c]] -> [ [<, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 0 (Concon 3 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, >]] -> [ [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, a]] -> [ [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, c]] -> [ [b, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, >]] -> [ [a, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, a]] -> [ [a, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, c]] -> [ [a, b] , [b, b] , [b, b] , [ b , c ] ] {- Semlab 2 (Concon 3 (Input 1)) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [0, 1, 0] -> [1, 0, 1] {- Input 0 -}
  [0, 0, 1] -> [0, 0, 0] {- Input 1 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [0, 1, 0] -> [1, 0, 1] {- Mirror (Input 0) -}
  [1, 0, 0] -> [0, 0, 0] {- Mirror (Input 1) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [0, 1, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 0)) -}
  [1, 0, 0] ->= [0, 0, 0] {- DP Nontop (Mirror (Input 1)) -}
  [0#, 1, 0] |-> [0#, 1] {- DP (Top 1) (Mirror (Input 0)) -}
  [0#, 1, 0] |-> [1#] {- DP (Top 2) (Mirror (Input 0)) -}
  [0#, 1, 0] |-> [1#, 0, 1] {- DP (Top 0) (Mirror (Input 0)) -}
  [1#, 0, 0] |-> [0#, 0, 0] {- DP (Top 0) (Mirror (Input 1)) -}
reason
  (0, 1/3)
  (1, 1/3)
   property Termination
has value Just True
for SRS
  [0, 1, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 0)) -}
  [1, 0, 0] ->= [0, 0, 0] {- DP Nontop (Mirror (Input 1)) -}
  [0#, 1, 0] |-> [1#, 0, 1] {- DP (Top 0) (Mirror (Input 0)) -}
  [1#, 0, 0] |-> [0#, 0, 0] {- DP (Top 0) (Mirror (Input 1)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [0#, 1, 0] |-> [1#, 0, 1] {- DP (Top 0) (Mirror (Input 0)) -}
  [1#, 0, 0] |-> [0#, 0, 0] {- DP (Top 0) (Mirror (Input 1)) -}
  [0, 1, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 0)) -}
  [1, 0, 0] ->= [0, 0, 0] {- DP Nontop (Mirror (Input 1)) -}
reason
  ( 0
  , Wk  / 9A 9A 12A \
        | 9A 9A 9A  |
        \ 6A 6A 9A  / )
  ( 1
  , Wk  / 9A 9A 9A \
        | 6A 9A 9A |
        \ 6A 9A 9A / )
  ( 0#
  , Wk  / 10A 10A 11A \
        | 10A 10A 11A |
        \ 10A 10A 11A / )
  ( 1#
  , Wk  / 8A 11A 11A \
        | 8A 11A 11A |
        \ 8A 11A 11A / )
   property Termination
has value Just True
for SRS
  [0#, 1, 0] |-> [1#, 0, 1] {- DP (Top 0) (Mirror (Input 0)) -}
  [0, 1, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 0)) -}
  [1, 0, 0] ->= [0, 0, 0] {- DP Nontop (Mirror (Input 1)) -}
reason
  (0#, 1/1)
   property Termination
has value Just True
for SRS
  [0, 1, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 0)) -}
  [1, 0, 0] ->= [0, 0, 0] {- DP Nontop (Mirror (Input 1)) -}
reason
  EDG

**************************************************
skeleton: (4,3)\TileAllRFC{2}(24,10)\Weight(20,9)\Unlabel\Mirror(2,2)\Deepee(4/2,4)\Weight\EDG(2/2,4)\Matrix{\Arctic}{3}(1/2,4)\Weight(0/2,2)\EDG[]
**************************************************
let {}
in let {trac = False;done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,unlabel = False})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 1000)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = trac,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO {bits = b,solver = solver})));mb = Worker (Matchbound {method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight {modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ Seq [ matrix Arctic 2 5, matrix Arctic 3 4, matrix Arctic 4 3], Seq [ matrix Natural 2 5, matrix Natural 3 4, matrix Natural 4 3]] <> [ kbo 1, And_Then (Worker Mirror) (And_Then (kbo 1) (Worker Mirror))])));dp = As_Transformer (Apply (And_Then (Worker (DP {tracing = True})) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = True})) remove)));noh = [ Worker (Enumerate {closure = Forward}), Worker (Enumerate {closure = Backward})];yeah = Tree_Search_Preemptive 0 done ([ Worker (Weight {modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp, tiling Forward 2, And_Then (Worker Mirror) (tiling Forward 2)] <> [ Worker (Unlabel {verbose = True})])}
  in Apply (Worker Remap) (Seq [ Worker KKST01, First_Of ([ yeah] <> noh)])