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


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


YES
**************************************************
summary
**************************************************
SRS with 10 rules on 7 letters       DP
SRS with 15 strict rules and 10 weak rules on 14 letters       EDG
SRS with 15 strict rules and 10 weak rules on 14 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 12 strict rules and 10 weak rules on 14 letters       weights
SRS with 5 strict rules and 10 weak rules on 12 letters       EDG
2 sub-proofs
  1 SRS with 2 strict rules and 10 weak rules on 9 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
  SRS with 1 strict rules and 10 weak rules on 9 letters       weights
  SRS with 0 strict rules and 10 weak rules on 7 letters       EDG
  
  2 SRS with 3 strict rules and 10 weak rules on 10 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
  SRS with 2 strict rules and 10 weak rules on 10 letters       weights
  SRS with 0 strict rules and 10 weak rules on 7 letters       EDG
  
**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, b] -> [c, b] {- Input 0 -}
  [c, c] -> [d, b] {- Input 1 -}
  [d] -> [c, e] {- Input 2 -}
  [b, b] -> [f] {- Input 3 -}
  [c, b] -> [g] {- Input 4 -}
  [e] -> [f] {- Input 5 -}
  [e] -> [b, b] {- Input 6 -}
  [f, g] -> [a, c] {- Input 7 -}
  [g, f] -> [e] {- Input 8 -}
  [a] -> [b, c] {- Input 9 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [a#] |-> [c#] {- DP (Top 1) (Input 9) -}
  [a#, b] |-> [c#, b] {- DP (Top 0) (Input 0) -}
  [b#, b] |-> [f#] {- DP (Top 0) (Input 3) -}
  [c#, b] |-> [g#] {- DP (Top 0) (Input 4) -}
  [c#, c] |-> [b#] {- DP (Top 1) (Input 1) -}
  [c#, c] |-> [d#, b] {- DP (Top 0) (Input 1) -}
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [d#] |-> [e#] {- DP (Top 1) (Input 2) -}
  [e#] |-> [b#] {- DP (Top 1) (Input 6) -}
  [e#] |-> [b#, b] {- DP (Top 0) (Input 6) -}
  [e#] |-> [f#] {- DP (Top 0) (Input 5) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [f#, g] |-> [c#] {- DP (Top 1) (Input 7) -}
  [g#, f] |-> [e#] {- DP (Top 0) (Input 8) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [b#, b] |-> [f#] {- DP (Top 0) (Input 3) -}
  [f#, g] |-> [c#] {- DP (Top 1) (Input 7) -}
  [c#, c] |-> [d#, b] {- DP (Top 0) (Input 1) -}
  [d#] |-> [e#] {- DP (Top 1) (Input 2) -}
  [e#] |-> [f#] {- DP (Top 0) (Input 5) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [a#, b] |-> [c#, b] {- DP (Top 0) (Input 0) -}
  [c#, c] |-> [b#] {- DP (Top 1) (Input 1) -}
  [c#, b] |-> [g#] {- DP (Top 0) (Input 4) -}
  [g#, f] |-> [e#] {- DP (Top 0) (Input 8) -}
  [e#] |-> [b#, b] {- DP (Top 0) (Input 6) -}
  [e#] |-> [b#] {- DP (Top 1) (Input 6) -}
  [a#] |-> [c#] {- DP (Top 1) (Input 9) -}
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  ( a
  , Wk  / 0A 2A \
        \ 0A 2A / )
  ( b
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( c
  , Wk  / 0A 2A \
        \ 0A 0A / )
  ( d
  , Wk  / 2A 2A \
        \ 0A 0A / )
  ( e
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( f
  , Wk  / 0A 0A \
        \ 0A 0A / )
  ( g
  , Wk  / 2A 2A \
        \ 0A 0A / )
  ( a#
  , Wk  / 29A 31A \
        \ 29A 31A / )
  ( b#
  , Wk  / 29A 29A \
        \ 29A 29A / )
  ( c#
  , Wk  / 27A 29A \
        \ 27A 29A / )
  ( f#
  , Wk  / 29A 29A \
        \ 29A 29A / )
  ( g#
  , Wk  / 27A 29A \
        \ 27A 29A / )
  ( d#
  , Wk  / 29A 29A \
        \ 29A 29A / )
  ( e#
  , Wk  / 29A 29A \
        \ 29A 29A / )
   property Termination
has value Just True
for SRS
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [b#, b] |-> [f#] {- DP (Top 0) (Input 3) -}
  [c#, c] |-> [d#, b] {- DP (Top 0) (Input 1) -}
  [d#] |-> [e#] {- DP (Top 1) (Input 2) -}
  [e#] |-> [f#] {- DP (Top 0) (Input 5) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [c#, c] |-> [b#] {- DP (Top 1) (Input 1) -}
  [c#, b] |-> [g#] {- DP (Top 0) (Input 4) -}
  [g#, f] |-> [e#] {- DP (Top 0) (Input 8) -}
  [e#] |-> [b#, b] {- DP (Top 0) (Input 6) -}
  [e#] |-> [b#] {- DP (Top 1) (Input 6) -}
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  (c#, 5/1)
  (g#, 4/1)
  (d#, 5/1)
  (e#, 3/1)
   property Termination
has value Just True
for SRS
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [b#, b] |-> [f#] {- DP (Top 0) (Input 3) -}
  [c#, c] |-> [d#, b] {- DP (Top 0) (Input 1) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [c#, c] |-> [d#, b] {- DP (Top 0) (Input 1) -}
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  ( a
  , Wk  / 3A 3A 3A \
        | 0A 0A 0A |
        \ 0A 0A 0A / )
  ( b
  , Wk  / 0A  0A  3A \
        | -3A -3A 0A |
        \ -3A -3A 0A / )
  ( c
  , Wk  / 0A 0A 3A \
        | 0A 0A 3A |
        \ 0A 0A 0A / )
  ( d
  , Wk  / 0A 0A 3A \
        | 0A 0A 3A |
        \ 0A 0A 3A / )
  ( e
  , Wk  / 0A  0A  3A \
        | -3A 0A  0A |
        \ -3A -3A 0A / )
  ( f
  , Wk  / 0A  0A  3A \
        | -3A -3A 0A |
        \ -3A -3A 0A / )
  ( g
  , Wk  / 0A 0A 3A \
        | 0A 0A 3A |
        \ 0A 0A 3A / )
  ( c#
  , Wk  / 40A 43A 43A \
        | 40A 43A 43A |
        \ 40A 43A 43A / )
  ( d#
  , Wk  / 40A 43A 43A \
        | 40A 43A 43A |
        \ 40A 43A 43A / )
   property Termination
has value Just True
for SRS
  [d#] |-> [c#, e] {- DP (Top 0) (Input 2) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  (d#, 1/1)
   property Termination
has value Just True
for SRS
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  EDG

property Termination
has value Just True
for SRS
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [b#, b] |-> [f#] {- DP (Top 0) (Input 3) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  ( a
  , Wk  / 3A 3A 6A \
        | 0A 0A 3A |
        \ 0A 0A 3A / )
  ( b
  , Wk  / 0A  3A 3A \
        | -3A 0A 0A |
        \ -3A 0A 0A / )
  ( c
  , Wk  / 0A  0A 3A \
        | 0A  0A 3A |
        \ -3A 0A 0A / )
  ( d
  , Wk  / 0A  3A 3A \
        | 0A  3A 3A |
        \ -3A 0A 0A / )
  ( e
  , Wk  / 0A  3A 3A \
        | -3A 0A 0A |
        \ -3A 0A 0A / )
  ( f
  , Wk  / 0A  3A 3A \
        | -3A 0A 0A |
        \ -3A 0A 0A / )
  ( g
  , Wk  / 0A  3A 3A \
        | 0A  3A 3A |
        \ -3A 0A 0A / )
  ( a#
  , Wk  / 22A 22A 25A \
        | 22A 22A 25A |
        \ 22A 22A 25A / )
  ( b#
  , Wk  / 21A 21A 22A \
        | 21A 21A 22A |
        \ 21A 21A 22A / )
  ( f#
  , Wk  / 20A 22A 22A \
        | 20A 22A 22A |
        \ 20A 22A 22A / )
   property Termination
has value Just True
for SRS
  [a#] |-> [b#, c] {- DP (Top 0) (Input 9) -}
  [f#, g] |-> [a#, c] {- DP (Top 0) (Input 7) -}
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  (a#, 1/1)
  (f#, 2/1)
   property Termination
has value Just True
for SRS
  [a, b] ->= [c, b] {- DP Nontop (Input 0) -}
  [c, c] ->= [d, b] {- DP Nontop (Input 1) -}
  [d] ->= [c, e] {- DP Nontop (Input 2) -}
  [b, b] ->= [f] {- DP Nontop (Input 3) -}
  [c, b] ->= [g] {- DP Nontop (Input 4) -}
  [e] ->= [f] {- DP Nontop (Input 5) -}
  [e] ->= [b, b] {- DP Nontop (Input 6) -}
  [f, g] ->= [a, c] {- DP Nontop (Input 7) -}
  [g, f] ->= [e] {- DP Nontop (Input 8) -}
  [a] ->= [b, c] {- DP Nontop (Input 9) -}
reason
  EDG

**************************************************
skeleton: (10,7)\Deepee\EDG(15/10,14)\Matrix{\Arctic}{2}(12/10,14)\Weight(5/10,12)\EDG[(2/10,9)\Matrix{\Arctic}{3}(1/10,9)\Weight(0/10,7)\EDG[],(3/10,10)\Matrix{\Arctic}{3}(2/10,10)\Weight(0/10,7)\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)])