About the Execution of GreatSPN+red for AutonomousCar-PT-05b
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
363.016 | 9453.00 | 24018.00 | 195.70 | FTTFTFFTTTFTTFTF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fkordon/mcc2024-input.r025-smll-171620166300295.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2024-input.qcow2 backing_fmt=qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
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=====================================================================
Generated by BenchKit 2-5568
Executing tool greatspnxred
Input is AutonomousCar-PT-05b, examination is ReachabilityFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r025-smll-171620166300295
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 608K
-rw-r--r-- 1 mcc users 7.1K May 14 13:22 CTLCardinality.txt
-rw-r--r-- 1 mcc users 77K May 14 13:22 CTLCardinality.xml
-rw-r--r-- 1 mcc users 4.9K May 14 13:22 CTLFireability.txt
-rw-r--r-- 1 mcc users 43K May 14 13:22 CTLFireability.xml
-rw-r--r-- 1 mcc users 3.5K Apr 22 14:28 LTLCardinality.txt
-rw-r--r-- 1 mcc users 24K Apr 22 14:28 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.4K Apr 22 14:28 LTLFireability.txt
-rw-r--r-- 1 mcc users 20K Apr 22 14:28 LTLFireability.xml
-rw-r--r-- 1 mcc users 11K Apr 12 18:10 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 115K Apr 12 18:10 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 11K Apr 12 18:09 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 96K Apr 12 18:09 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.7K Apr 22 14:28 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.7K Apr 22 14:28 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 May 18 16:42 equiv_col
-rw-r--r-- 1 mcc users 4 May 18 16:42 instance
-rw-r--r-- 1 mcc users 6 May 18 16:42 iscolored
-rw-r--r-- 1 mcc users 159K May 18 16:42 model.pnml
--------------------
content from stdout:
=== Data for post analysis generated by BenchKit (invocation template)
The expected result is a vector of booleans
BOOL_VECTOR
here is the order used to build the result vector(from text file)
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-00
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-01
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-02
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-03
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-04
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-05
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-06
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-07
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-08
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-09
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-10
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-11
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-12
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-13
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-14
FORMULA_NAME AutonomousCar-PT-05b-ReachabilityFireability-2024-15
=== Now, execution of the tool begins
BK_START 1716347725954
Invoking MCC driver with
BK_TOOL=greatspnxred
BK_EXAMINATION=ReachabilityFireability
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=AutonomousCar-PT-05b
BK_MEMORY_CONFINEMENT=16384
Applying reductions before tool greatspn
Invoking reducer
Running Version 202405141337
[2024-05-22 03:15:28] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, ReachabilityFireability, -timeout, 360, -rebuildPNML]
[2024-05-22 03:15:28] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2024-05-22 03:15:28] [INFO ] Load time of PNML (sax parser for PT used): 224 ms
[2024-05-22 03:15:28] [INFO ] Transformed 255 places.
[2024-05-22 03:15:28] [INFO ] Transformed 490 transitions.
[2024-05-22 03:15:28] [INFO ] Found NUPN structural information;
[2024-05-22 03:15:28] [INFO ] Parsed PT model containing 255 places and 490 transitions and 2527 arcs in 460 ms.
Parsed 16 properties from file /home/mcc/execution/ReachabilityFireability.xml in 32 ms.
Working with output stream class java.io.PrintStream
RANDOM walk for 40000 steps (120 resets) in 2530 ms. (15 steps per ms) remains 7/16 properties
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-14 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-12 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-11 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-10 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-09 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-07 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-06 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-05 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-02 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
BEST_FIRST walk for 40003 steps (81 resets) in 766 ms. (52 steps per ms) remains 6/7 properties
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-00 FALSE TECHNIQUES TOPOLOGICAL BESTFIRST_WALK
BEST_FIRST walk for 40004 steps (87 resets) in 293 ms. (136 steps per ms) remains 5/6 properties
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-01 TRUE TECHNIQUES TOPOLOGICAL BESTFIRST_WALK
BEST_FIRST walk for 40003 steps (88 resets) in 1192 ms. (33 steps per ms) remains 5/5 properties
BEST_FIRST walk for 40003 steps (136 resets) in 336 ms. (118 steps per ms) remains 5/5 properties
BEST_FIRST walk for 40003 steps (84 resets) in 181 ms. (219 steps per ms) remains 4/5 properties
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-08 TRUE TECHNIQUES TOPOLOGICAL BESTFIRST_WALK
BEST_FIRST walk for 40003 steps (88 resets) in 250 ms. (159 steps per ms) remains 4/4 properties
BEST_FIRST walk for 40003 steps (159 resets) in 202 ms. (197 steps per ms) remains 4/4 properties
// Phase 1: matrix 490 rows 255 cols
[2024-05-22 03:15:30] [INFO ] Computed 10 invariants in 37 ms
All remaining problems are real, not stopping.
At refinement iteration 0 (INCLUDED_ONLY) 0/86 variables, 86/86 constraints. Problems are: Problem set: 0 solved, 4 unsolved
At refinement iteration 1 (INCLUDED_ONLY) 0/86 variables, 0/86 constraints. Problems are: Problem set: 0 solved, 4 unsolved
Problem AutonomousCar-PT-05b-ReachabilityFireability-2024-03 is UNSAT
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-03 FALSE TECHNIQUES SMT_REFINEMENT
Problem AutonomousCar-PT-05b-ReachabilityFireability-2024-15 is UNSAT
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-15 FALSE TECHNIQUES SMT_REFINEMENT
At refinement iteration 2 (OVERLAPS) 169/255 variables, 10/96 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 3 (INCLUDED_ONLY) 0/255 variables, 169/265 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 4 (INCLUDED_ONLY) 0/255 variables, 0/265 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 5 (OVERLAPS) 490/745 variables, 255/520 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 6 (INCLUDED_ONLY) 0/745 variables, 0/520 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 7 (OVERLAPS) 0/745 variables, 0/520 constraints. Problems are: Problem set: 2 solved, 2 unsolved
No progress, stopping.
After SMT solving in domain Real declared 745/745 variables, and 520 constraints, problems are : Problem set: 2 solved, 2 unsolved in 1040 ms.
Refiners :[Domain max(s): 255/255 constraints, Positive P Invariants (semi-flows): 10/10 constraints, State Equation: 255/255 constraints, PredecessorRefiner: 4/4 constraints, Known Traps: 0/0 constraints]
Escalating to Integer solving :Problem set: 2 solved, 2 unsolved
At refinement iteration 0 (INCLUDED_ONLY) 0/67 variables, 67/67 constraints. Problems are: Problem set: 2 solved, 2 unsolved
At refinement iteration 1 (INCLUDED_ONLY) 0/67 variables, 0/67 constraints. Problems are: Problem set: 2 solved, 2 unsolved
Problem AutonomousCar-PT-05b-ReachabilityFireability-2024-04 is UNSAT
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-04 TRUE TECHNIQUES SMT_REFINEMENT
At refinement iteration 2 (OVERLAPS) 188/255 variables, 10/77 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 3 (INCLUDED_ONLY) 0/255 variables, 188/265 constraints. Problems are: Problem set: 3 solved, 1 unsolved
[2024-05-22 03:15:32] [INFO ] Deduced a trap composed of 22 places in 243 ms of which 17 ms to minimize.
[2024-05-22 03:15:33] [INFO ] Deduced a trap composed of 35 places in 201 ms of which 2 ms to minimize.
[2024-05-22 03:15:33] [INFO ] Deduced a trap composed of 35 places in 172 ms of which 3 ms to minimize.
At refinement iteration 4 (INCLUDED_ONLY) 0/255 variables, 3/268 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 5 (INCLUDED_ONLY) 0/255 variables, 0/268 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 6 (OVERLAPS) 490/745 variables, 255/523 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 7 (INCLUDED_ONLY) 0/745 variables, 1/524 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 8 (INCLUDED_ONLY) 0/745 variables, 0/524 constraints. Problems are: Problem set: 3 solved, 1 unsolved
At refinement iteration 9 (OVERLAPS) 0/745 variables, 0/524 constraints. Problems are: Problem set: 3 solved, 1 unsolved
No progress, stopping.
After SMT solving in domain Int declared 745/745 variables, and 524 constraints, problems are : Problem set: 3 solved, 1 unsolved in 2152 ms.
Refiners :[Domain max(s): 255/255 constraints, Positive P Invariants (semi-flows): 10/10 constraints, State Equation: 255/255 constraints, PredecessorRefiner: 1/4 constraints, Known Traps: 3/3 constraints]
After SMT, in 3670ms problems are : Problem set: 3 solved, 1 unsolved
Parikh walk visited 0 properties in 166 ms.
Support contains 37 out of 255 places. Attempting structural reductions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 255/255 places, 490/490 transitions.
Graph (trivial) has 179 edges and 255 vertex of which 4 / 255 are part of one of the 2 SCC in 6 ms
Free SCC test removed 2 places
Drop transitions (Empty/Sink Transition effects.) removed 4 transitions
Reduce isomorphic transitions removed 4 transitions.
Graph (complete) has 759 edges and 253 vertex of which 248 are kept as prefixes of interest. Removing 5 places using SCC suffix rule.7 ms
Discarding 5 places :
Also discarding 3 output transitions
Drop transitions (Output transitions of discarded places.) removed 3 transitions
Drop transitions (Empty/Sink Transition effects.) removed 1 transitions
Reduce isomorphic transitions removed 1 transitions.
Drop transitions (Trivial Post-Agglo cleanup.) removed 78 transitions
Trivial Post-agglo rules discarded 78 transitions
Performed 78 trivial Post agglomeration. Transition count delta: 78
Iterating post reduction 0 with 79 rules applied. Total rules applied 81 place count 248 transition count 404
Reduce places removed 78 places and 0 transitions.
Ensure Unique test removed 9 transitions
Reduce isomorphic transitions removed 9 transitions.
Drop transitions (Trivial Post-Agglo cleanup.) removed 9 transitions
Trivial Post-agglo rules discarded 9 transitions
Performed 9 trivial Post agglomeration. Transition count delta: 9
Iterating post reduction 1 with 96 rules applied. Total rules applied 177 place count 170 transition count 386
Reduce places removed 9 places and 0 transitions.
Performed 6 Post agglomeration using F-continuation condition.Transition count delta: 6
Iterating post reduction 2 with 15 rules applied. Total rules applied 192 place count 161 transition count 380
Reduce places removed 6 places and 0 transitions.
Ensure Unique test removed 1 transitions
Reduce isomorphic transitions removed 1 transitions.
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Iterating post reduction 3 with 8 rules applied. Total rules applied 200 place count 155 transition count 378
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 4 with 1 rules applied. Total rules applied 201 place count 154 transition count 378
Performed 17 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 5 with 17 Pre rules applied. Total rules applied 201 place count 154 transition count 361
Deduced a syphon composed of 17 places in 3 ms
Reduce places removed 17 places and 0 transitions.
Iterating global reduction 5 with 34 rules applied. Total rules applied 235 place count 137 transition count 361
Discarding 20 places :
Symmetric choice reduction at 5 with 20 rule applications. Total rules 255 place count 117 transition count 341
Iterating global reduction 5 with 20 rules applied. Total rules applied 275 place count 117 transition count 341
Ensure Unique test removed 102 transitions
Reduce isomorphic transitions removed 102 transitions.
Drop transitions (Trivial Post-Agglo cleanup.) removed 1 transitions
Trivial Post-agglo rules discarded 1 transitions
Performed 1 trivial Post agglomeration. Transition count delta: 1
Iterating post reduction 5 with 103 rules applied. Total rules applied 378 place count 117 transition count 238
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 6 with 1 rules applied. Total rules applied 379 place count 116 transition count 238
Discarding 1 places :
Symmetric choice reduction at 7 with 1 rule applications. Total rules 380 place count 115 transition count 233
Iterating global reduction 7 with 1 rules applied. Total rules applied 381 place count 115 transition count 233
Performed 23 Post agglomeration using F-continuation condition with reduction of 1 identical transitions.
Deduced a syphon composed of 23 places in 1 ms
Reduce places removed 23 places and 0 transitions.
Iterating global reduction 7 with 46 rules applied. Total rules applied 427 place count 92 transition count 209
Drop transitions (Redundant composition of simpler transitions.) removed 1 transitions
Redundant transition composition rules discarded 1 transitions
Iterating global reduction 7 with 1 rules applied. Total rules applied 428 place count 92 transition count 208
Free-agglomeration rule applied 14 times.
Iterating global reduction 7 with 14 rules applied. Total rules applied 442 place count 92 transition count 194
Reduce places removed 14 places and 0 transitions.
Iterating post reduction 7 with 14 rules applied. Total rules applied 456 place count 78 transition count 194
Drop transitions (Redundant composition of simpler transitions.) removed 2 transitions
Redundant transition composition rules discarded 2 transitions
Iterating global reduction 8 with 2 rules applied. Total rules applied 458 place count 78 transition count 192
Partial Free-agglomeration rule applied 1 times.
Drop transitions (Partial Free agglomeration) removed 1 transitions
Iterating global reduction 8 with 1 rules applied. Total rules applied 459 place count 78 transition count 192
Reduce places removed 1 places and 1 transitions.
Iterating global reduction 8 with 1 rules applied. Total rules applied 460 place count 77 transition count 191
Applied a total of 460 rules in 310 ms. Remains 77 /255 variables (removed 178) and now considering 191/490 (removed 299) transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 331 ms. Remains : 77/255 places, 191/490 transitions.
RANDOM walk for 40000 steps (1152 resets) in 298 ms. (133 steps per ms) remains 1/1 properties
BEST_FIRST walk for 40003 steps (193 resets) in 307 ms. (129 steps per ms) remains 1/1 properties
Finished probabilistic random walk after 20188 steps, run visited all 1 properties in 109 ms. (steps per millisecond=185 )
Probabilistic random walk after 20188 steps, saw 4505 distinct states, run finished after 117 ms. (steps per millisecond=172 ) properties seen :1
FORMULA AutonomousCar-PT-05b-ReachabilityFireability-2024-13 FALSE TECHNIQUES TOPOLOGICAL PROBABILISTIC_WALK
All properties solved without resorting to model-checking.
Total runtime 7025 ms.
ITS solved all properties within timeout
BK_STOP 1716347735407
--------------------
content from stderr:
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ export PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ export LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
+ LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
++ sed s/.jar//
++ perl -pe 's/.*\.//g'
++ ls /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202405141337.jar
+ VERSION=202405141337
+ echo 'Running Version 202405141337'
+ /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/its-tools -pnfolder /home/mcc/execution -examination ReachabilityFireability -timeout 360 -rebuildPNML
Sequence of Actions to be Executed by the VM
This is useful if one wants to reexecute the tool in the VM from the submitted image disk.
set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="AutonomousCar-PT-05b"
export BK_EXAMINATION="ReachabilityFireability"
export BK_TOOL="greatspnxred"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"
export BK_BIN_PATH="/home/mcc/BenchKit/bin/"
# this is specific to your benchmark or test
export BIN_DIR="$HOME/BenchKit/bin"
# remove the execution directoty if it exists (to avoid increse of .vmdk images)
if [ -d execution ] ; then
rm -rf execution
fi
# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-5568"
echo " Executing tool greatspnxred"
echo " Input is AutonomousCar-PT-05b, examination is ReachabilityFireability"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r025-smll-171620166300295"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/AutonomousCar-PT-05b.tgz
mv AutonomousCar-PT-05b execution
cd execution
if [ "ReachabilityFireability" = "ReachabilityDeadlock" ] || [ "ReachabilityFireability" = "UpperBounds" ] || [ "ReachabilityFireability" = "QuasiLiveness" ] || [ "ReachabilityFireability" = "StableMarking" ] || [ "ReachabilityFireability" = "Liveness" ] || [ "ReachabilityFireability" = "OneSafe" ] || [ "ReachabilityFireability" = "StateSpace" ]; then
rm -f GenericPropertiesVerdict.xml
fi
pwd
ls -lh
echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "ReachabilityFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "ReachabilityFireability" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "ReachabilityFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property ReachabilityFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "ReachabilityFireability.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '
echo "FORMULA_NAME $x"
done
elif [ "ReachabilityFireability" = "ReachabilityDeadlock" ] || [ "ReachabilityFireability" = "QuasiLiveness" ] || [ "ReachabilityFireability" = "StableMarking" ] || [ "ReachabilityFireability" = "Liveness" ] || [ "ReachabilityFireability" = "OneSafe" ] ; then
echo "FORMULA_NAME ReachabilityFireability"
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;