/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       mirror
SRS with 4 rules on 3 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 36 rules on 11 letters       unlabel
SRS with 3 rules on 3 letters       mirror
SRS with 3 rules on 3 letters       DP
SRS with 9 strict rules and 3 weak rules on 5 letters       weights
SRS with 3 strict rules and 3 weak rules on 5 letters       EDG
SRS with 2 strict rules and 3 weak rules on 5 letters       mirror
SRS with 2 strict rules and 3 weak rules on 5 letters       Matrix   { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 2 strict rules and 2 weak rules on 4 letters       mirror
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 = 2, 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
  [a, s] -> [s, a] {- Input 0 -}
  [b, a, b, s] -> [a, b, s, a] {- Input 1 -}
  [b, a, b, b] -> [a, b, a, b] {- Input 2 -}
  [a, b, a, a] -> [b, a, b, a] {- Input 3 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [s, a] -> [a, s] {- Mirror (Input 0) -}
  [s, b, a, b] -> [a, s, b, a] {- Mirror (Input 1) -}
  [b, b, a, b] -> [b, a, b, a] {- Mirror (Input 2) -}
  [a, a, b, a] -> [a, b, a, b] {- Mirror (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 2
  using 12 tiles
  tile all rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[a, s], [s, b], [b, a], [a, b], [b, >]] -> [ [a, a] , [a, s] , [s, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -}
  [[a, s], [s, b], [b, a], [a, b], [b, a]] -> [ [a, a] , [a, s] , [s, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -}
  [[a, s], [s, b], [b, a], [a, b], [b, s]] -> [ [a, a] , [a, s] , [s, b] , [b, a] , [ a , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -}
  [[a, s], [s, b], [b, a], [a, b], [b, b]] -> [ [a, a] , [a, s] , [s, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (Mirror (Input 1))) -}
  [[b, s], [s, b], [b, a], [a, b], [b, >]] -> [ [b, a] , [a, s] , [s, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -}
  [[b, s], [s, b], [b, a], [a, b], [b, a]] -> [ [b, a] , [a, s] , [s, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -}
  [[b, s], [s, b], [b, a], [a, b], [b, s]] -> [ [b, a] , [a, s] , [s, b] , [b, a] , [ a , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -}
  [[b, s], [s, b], [b, a], [a, b], [b, b]] -> [ [b, a] , [a, s] , [s, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Mirror (Input 1))) -}
  [[<, b], [b, b], [b, a], [a, b], [b, >]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -}
  [[<, b], [b, b], [b, a], [a, b], [b, a]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, b], [b, b], [b, a], [a, b], [b, s]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, b], [b, b], [b, a], [a, b], [b, b]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[a, b], [b, b], [b, a], [a, b], [b, >]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -}
  [[a, b], [b, b], [b, a], [a, b], [b, a]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[a, b], [b, b], [b, a], [a, b], [b, s]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[a, b], [b, b], [b, a], [a, b], [b, b]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[s, b], [b, b], [b, a], [a, b], [b, >]] -> [ [s, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -}
  [[s, b], [b, b], [b, a], [a, b], [b, a]] -> [ [s, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[s, b], [b, b], [b, a], [a, b], [b, s]] -> [ [s, b] , [b, a] , [a, b] , [b, a] , [ a , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[s, b], [b, b], [b, a], [a, b], [b, b]] -> [ [s, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[b, b], [b, b], [b, a], [a, b], [b, >]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 2))) -}
  [[b, b], [b, b], [b, a], [a, b], [b, a]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 2))) -}
  [[b, b], [b, b], [b, a], [a, b], [b, s]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 2))) -}
  [[b, b], [b, b], [b, a], [a, b], [b, b]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (Mirror (Input 2))) -}
  [[<, a], [a, a], [a, b], [b, a], [a, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[<, a], [a, a], [a, b], [b, a], [a, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -}
  [[<, a], [a, a], [a, b], [b, a], [a, s]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 3))) -}
  [[<, a], [a, a], [a, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (Mirror (Input 3))) -}
  [[a, a], [a, a], [a, b], [b, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[a, a], [a, a], [a, b], [b, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -}
  [[a, a], [a, a], [a, b], [b, a], [a, s]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -}
  [[a, a], [a, a], [a, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 3 (Mirror (Input 3))) -}
  [[b, a], [a, a], [a, b], [b, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[b, a], [a, a], [a, b], [b, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -}
  [[b, a], [a, a], [a, b], [b, a], [a, s]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 3))) -}
  [[b, a], [a, a], [a, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 3 (Mirror (Input 3))) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [0, 2, 1, 2] -> [1, 0, 2, 1] {- Mirror (Input 1) -}
  [2, 2, 1, 2] -> [2, 1, 2, 1] {- Mirror (Input 2) -}
  [1, 1, 2, 1] -> [1, 2, 1, 2] {- Mirror (Input 3) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [2, 1, 2, 0] -> [1, 2, 0, 1] {- Input 1 -}
  [2, 1, 2, 2] -> [1, 2, 1, 2] {- Input 2 -}
  [1, 2, 1, 1] -> [2, 1, 2, 1] {- Input 3 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [2, 1, 2, 0] ->= [1, 2, 0, 1] {- DP Nontop (Input 1) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
  [1#, 2, 1, 1] |-> [1#, 2, 1] {- DP (Top 1) (Input 3) -}
  [1#, 2, 1, 1] |-> [2#, 1] {- DP (Top 2) (Input 3) -}
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2#, 1, 2, 0] |-> [1#] {- DP (Top 3) (Input 1) -}
  [2#, 1, 2, 0] |-> [1#, 2, 0, 1] {- DP (Top 0) (Input 1) -}
  [2#, 1, 2, 0] |-> [2#, 0, 1] {- DP (Top 1) (Input 1) -}
  [2#, 1, 2, 2] |-> [1#, 2] {- DP (Top 2) (Input 2) -}
  [2#, 1, 2, 2] |-> [1#, 2, 1, 2] {- DP (Top 0) (Input 2) -}
  [2#, 1, 2, 2] |-> [2#, 1, 2] {- DP (Top 1) (Input 2) -}
reason
  (2, 1/7)
  (1, 1/7)
  (0, 1/1)
   property Termination
has value Just True
for SRS
  [2, 1, 2, 0] ->= [1, 2, 0, 1] {- DP Nontop (Input 1) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2#, 1, 2, 0] |-> [1#, 2, 0, 1] {- DP (Top 0) (Input 1) -}
  [2#, 1, 2, 2] |-> [1#, 2, 1, 2] {- DP (Top 0) (Input 2) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2#, 1, 2, 2] |-> [1#, 2, 1, 2] {- DP (Top 0) (Input 2) -}
  [2, 1, 2, 0] ->= [1, 2, 0, 1] {- DP Nontop (Input 1) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [1, 1, 2, 1#] ->| [1, 2, 1, 2#] {- Mirror (DP (Top 0) (Input 3)) -}
  [2, 2, 1, 2#] ->| [2, 1, 2, 1#] {- Mirror (DP (Top 0) (Input 2)) -}
  [0, 2, 1, 2] ->= [1, 0, 2, 1] {- Mirror (DP Nontop (Input 1)) -}
  [2, 2, 1, 2] ->= [2, 1, 2, 1] {- Mirror (DP Nontop (Input 2)) -}
  [1, 1, 2, 1] ->= [1, 2, 1, 2] {- Mirror (DP Nontop (Input 3)) -}
reason
  ( 2
  , St  / 1 1 \
        \ 0 1 / )
  ( 1
  , St  / 1 1 \
        \ 0 1 / )
  ( 0
  , St  / 2 0 \
        \ 0 1 / )
  ( 1#
  , St  / 1 0 \
        \ 0 1 / )
  ( 2#
  , St  / 1 0 \
        \ 0 1 / )
   property Termination
has value Just True
for SRS
  [1, 1, 2, 1#] ->| [1, 2, 1, 2#] {- Mirror (DP (Top 0) (Input 3)) -}
  [2, 2, 1, 2#] ->| [2, 1, 2, 1#] {- Mirror (DP (Top 0) (Input 2)) -}
  [2, 2, 1, 2] ->= [2, 1, 2, 1] {- Mirror (DP Nontop (Input 2)) -}
  [1, 1, 2, 1] ->= [1, 2, 1, 2] {- Mirror (DP Nontop (Input 3)) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2#, 1, 2, 2] |-> [1#, 2, 1, 2] {- DP (Top 0) (Input 2) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2#, 1, 2, 2] |-> [1#, 2, 1, 2] {- DP (Top 0) (Input 2) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
reason
  ( 2
  , Wk  / 6A 6A \
        \ 4A 4A / )
  ( 1
  , Wk  / 4A 6A \
        \ 4A 6A / )
  ( 1#
  , Wk  / 1A 1A \
        \ 1A 1A / )
  ( 2#
  , Wk  / 1A 3A \
        \ 1A 3A / )
   property Termination
has value Just True
for SRS
  [1#, 2, 1, 1] |-> [2#, 1, 2, 1] {- DP (Top 0) (Input 3) -}
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
reason
  (1#, 1/1)
   property Termination
has value Just True
for SRS
  [2, 1, 2, 2] ->= [1, 2, 1, 2] {- DP Nontop (Input 2) -}
  [1, 2, 1, 1] ->= [2, 1, 2, 1] {- DP Nontop (Input 3) -}
reason
  EDG

**************************************************
skeleton: \Mirror(4,3)\TileAllRFC{2}(36,11)\Unlabel\Mirror(3,3)\Deepee(9/3,5)\Weight(3/3,5)\EDG\Mirror(2/3,5)\Matrix{\Natural}{2}(2/2,4)\Mirror\EDG(2/2,4)\Matrix{\Arctic}{2}(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)])