/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 7 rules on 5 letters       weights
SRS with 5 rules on 5 letters       mirror
SRS with 5 rules on 5 letters       DP
SRS with 11 strict rules and 5 weak rules on 9 letters       weights
SRS with 4 strict rules and 5 weak rules on 8 letters       EDG
SRS with 4 strict rules and 5 weak rules on 8 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
SRS with 3 strict rules and 5 weak rules on 8 letters       weights
SRS with 2 strict rules and 5 weak rules on 7 letters       EDG
SRS with 2 strict rules and 5 weak rules on 7 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 0 strict rules and 5 weak rules on 5 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [r, e] -> [w, r] {- Input 0 -}
  [i, t] -> [e, r] {- Input 1 -}
  [e, w] -> [r, i] {- Input 2 -}
  [t, e] -> [r, e] {- Input 3 -}
  [w, r] -> [i, t] {- Input 4 -}
  [e, r] -> [e, w] {- Input 5 -}
  [r, i, t, e, r] -> [e, w, r, i, t, e] {- Input 6 -}
reason
  (r, 1/1)
  (e, 1/2)
  (w, 1/2)
  (t, 3/2)
   property Termination
has value Just True
for SRS
  [r, e] -> [w, r] {- Input 0 -}
  [i, t] -> [e, r] {- Input 1 -}
  [e, w] -> [r, i] {- Input 2 -}
  [w, r] -> [i, t] {- Input 4 -}
  [r, i, t, e, r] -> [e, w, r, i, t, e] {- Input 6 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [e, r] -> [r, w] {- Mirror (Input 0) -}
  [t, i] -> [r, e] {- Mirror (Input 1) -}
  [w, e] -> [i, r] {- Mirror (Input 2) -}
  [r, w] -> [t, i] {- Mirror (Input 4) -}
  [r, e, t, i, r] -> [e, t, i, r, w, e] {- Mirror (Input 6) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [r#, w, e] {- DP (Top 3) (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [e#] {- DP (Top 5) (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [e#, t, i, r, w, e] {- DP (Top 0) (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [w#, e] {- DP (Top 4) (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [t#, i, r, w, e] {- DP (Top 1) (Mirror (Input 6)) -}
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [e#, r] |-> [r#, w] {- DP (Top 0) (Mirror (Input 0)) -}
  [e#, r] |-> [w#] {- DP (Top 1) (Mirror (Input 0)) -}
  [w#, e] |-> [r#] {- DP (Top 1) (Mirror (Input 2)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
  [t#, i] |-> [e#] {- DP (Top 1) (Mirror (Input 1)) -}
reason
  (e, 2/1)
  (r, 4/1)
  (w, 2/1)
  (t, 6/1)
  (r#, 2/1)
  (w#, 1/1)
  (t#, 4/1)
   property Termination
has value Just True
for SRS
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
  [r#, e, t, i, r] |-> [e#, t, i, r, w, e] {- DP (Top 0) (Mirror (Input 6)) -}
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [e#, r] |-> [r#, w] {- DP (Top 0) (Mirror (Input 0)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [r#, e, t, i, r] |-> [e#, t, i, r, w, e] {- DP (Top 0) (Mirror (Input 6)) -}
  [e#, r] |-> [r#, w] {- DP (Top 0) (Mirror (Input 0)) -}
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
reason
  ( e
  , Wk  / 3A 3A 3A \
        | 3A 3A 3A |
        \ 0A 0A 3A / )
  ( r
  , Wk  / 6A 6A 9A \
        | 6A 6A 9A |
        \ 6A 6A 9A / )
  ( w
  , Wk  / 3A 3A 6A \
        | 3A 3A 6A |
        \ 0A 0A 3A / )
  ( t
  , Wk  / 9A 12A 12A \
        | 9A 12A 12A |
        \ 9A 12A 12A / )
  ( i
  , Wk  / 0A  0A  0A  \
        | -3A -3A 0A  |
        \ -3A -3A -3A / )
  ( r#
  , Wk  / 22A 22A 23A \
        | 22A 22A 23A |
        \ 22A 22A 23A / )
  ( e#
  , Wk  / 19A 19A 19A \
        | 19A 19A 19A |
        \ 19A 19A 19A / )
  ( t#
  , Wk  / 25A 26A 27A \
        | 25A 26A 27A |
        \ 25A 26A 27A / )
   property Termination
has value Just True
for SRS
  [e#, r] |-> [r#, w] {- DP (Top 0) (Mirror (Input 0)) -}
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
reason
  (e#, 1/1)
   property Termination
has value Just True
for SRS
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [r#, w] |-> [t#, i] {- DP (Top 0) (Mirror (Input 4)) -}
  [t#, i] |-> [r#, e] {- DP (Top 0) (Mirror (Input 1)) -}
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
reason
  ( e
  , Wk  / 0A  0A  \
        \ -2A -2A / )
  ( r
  , Wk  / 0A  0A  \
        \ -2A -2A / )
  ( w
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( t
  , Wk  / 0A  0A  \
        \ -2A -2A / )
  ( i
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( r#
  , Wk  / 27A 29A \
        \ 27A 29A / )
  ( t#
  , Wk  / 27A 28A \
        \ 27A 28A / )
   property Termination
has value Just True
for SRS
  [e, r] ->= [r, w] {- DP Nontop (Mirror (Input 0)) -}
  [t, i] ->= [r, e] {- DP Nontop (Mirror (Input 1)) -}
  [w, e] ->= [i, r] {- DP Nontop (Mirror (Input 2)) -}
  [r, w] ->= [t, i] {- DP Nontop (Mirror (Input 4)) -}
  [r, e, t, i, r] ->= [e, t, i, r, w, e] {- DP Nontop (Mirror (Input 6)) -}
reason
  EDG

**************************************************
skeleton: (7,5)\Weight\Mirror(5,5)\Deepee(11/5,9)\Weight\EDG(4/5,8)\Matrix{\Arctic}{3}(3/5,8)\Weight\EDG(2/5,7)\Matrix{\Arctic}{2}(0/5,5)\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)])