About the Execution of Marcie+red for BridgeAndVehicles-COL-V80P50N10
| Execution Summary | |||||
| Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
| 11927.523 | 3600000.00 | 3656918.00 | 801.30 | ?FF????T?FT?F?FF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/mnt/tpsp/fkordon/mcc2023-input.r042-tajo-167813695300137.qcow2', fmt=qcow2 size=4294967296 backing_file='/mnt/tpsp/fkordon/mcc2023-input.qcow2' encryption=off cluster_size=65536 lazy_refcounts=off
Waiting for the VM to be ready (probing ssh)
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=====================================================================
Generated by BenchKit 2-5348
Executing tool marciexred
Input is BridgeAndVehicles-COL-V80P50N10, examination is CTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r042-tajo-167813695300137
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 556K
-rw-r--r-- 1 mcc users 7.8K Feb 25 12:19 CTLCardinality.txt
-rw-r--r-- 1 mcc users 73K Feb 25 12:19 CTLCardinality.xml
-rw-r--r-- 1 mcc users 6.0K Feb 25 12:16 CTLFireability.txt
-rw-r--r-- 1 mcc users 46K Feb 25 12:16 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K Jan 29 11:40 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.4K Jan 29 11:40 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 3.9K Feb 25 15:36 LTLCardinality.txt
-rw-r--r-- 1 mcc users 23K Feb 25 15:36 LTLCardinality.xml
-rw-r--r-- 1 mcc users 3.0K Feb 25 15:36 LTLFireability.txt
-rw-r--r-- 1 mcc users 18K Feb 25 15:36 LTLFireability.xml
-rw-r--r-- 1 mcc users 17K Feb 25 12:48 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 163K Feb 25 12:48 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 12K Feb 25 12:44 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 84K Feb 25 12:44 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.9K Feb 25 15:36 UpperBounds.txt
-rw-r--r-- 1 mcc users 4.0K Feb 25 15:36 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 Mar 5 18:22 equiv_pt
-rw-r--r-- 1 mcc users 10 Mar 5 18:22 instance
-rw-r--r-- 1 mcc users 5 Mar 5 18:22 iscolored
-rw-r--r-- 1 mcc users 45K Mar 5 18:22 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 BridgeAndVehicles-COL-V80P50N10-CTLCardinality-00
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-01
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-02
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-03
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-04
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-05
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-06
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-07
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-08
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-09
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-10
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-11
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-12
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-13
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-14
FORMULA_NAME BridgeAndVehicles-COL-V80P50N10-CTLCardinality-15
=== Now, execution of the tool begins
BK_START 1678696431526
bash -c /home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n "BK_STOP " ; date -u +%s%3N
Invoking MCC driver with
BK_TOOL=marciexred
BK_EXAMINATION=CTLCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=BridgeAndVehicles-COL-V80P50N10
Applying reductions before tool marcie
Invoking reducer
Running Version 202303021504
[2023-03-13 08:33:52] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, CTLCardinality, -timeout, 360, -rebuildPNML]
[2023-03-13 08:33:52] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2023-03-13 08:33:53] [INFO ] Detected file is not PT type :http://www.pnml.org/version-2009/grammar/symmetricnet
log4j:WARN No appenders could be found for logger (org.apache.axiom.locator.DefaultOMMetaFactoryLocator).
log4j:WARN Please initialize the log4j system properly.
log4j:WARN See http://logging.apache.org/log4j/1.2/faq.html#noconfig for more info.
[2023-03-13 08:33:53] [WARNING] Using fallBack plugin, rng conformance not checked
[2023-03-13 08:33:53] [INFO ] Load time of PNML (colored model parsed with PNMLFW) : 392 ms
[2023-03-13 08:33:53] [INFO ] Imported 15 HL places and 11 HL transitions for a total of 188 PT places and 289218.0 transition bindings in 14 ms.
Parsed 16 properties from file /home/mcc/execution/CTLCardinality.xml in 12 ms.
[2023-03-13 08:33:53] [INFO ] Built PT skeleton of HLPN with 15 places and 11 transitions 56 arcs in 4 ms.
[2023-03-13 08:33:53] [INFO ] Skeletonized 16 HLPN properties in 1 ms.
Computed a total of 12 stabilizing places and 6 stable transitions
Graph (complete) has 51 edges and 15 vertex of which 13 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.1 ms
Remains 16 properties that can be checked using skeleton over-approximation.
Reduce places removed 3 places and 0 transitions.
Ensure Unique test removed 1 transitions
Reduce redundant transitions removed 1 transitions.
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-02 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Computed a total of 9 stabilizing places and 6 stable transitions
Graph (complete) has 22 edges and 12 vertex of which 10 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.0 ms
Incomplete random walk after 10000 steps, including 2 resets, run finished after 500 ms. (steps per millisecond=20 ) properties (out of 61) seen :36
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 13 ms. (steps per millisecond=77 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 16 ms. (steps per millisecond=62 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 12 ms. (steps per millisecond=83 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 9 ms. (steps per millisecond=111 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1000 steps, including 2 resets, run finished after 20 ms. (steps per millisecond=50 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 6 ms. (steps per millisecond=166 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 6 ms. (steps per millisecond=166 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 6 ms. (steps per millisecond=166 ) properties (out of 25) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 25) seen :1
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 6 ms. (steps per millisecond=166 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1000 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 10 ms. (steps per millisecond=100 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 8 ms. (steps per millisecond=125 ) properties (out of 24) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=143 ) properties (out of 24) seen :0
Running SMT prover for 24 properties.
// Phase 1: matrix 10 rows 12 cols
[2023-03-13 08:33:54] [INFO ] Computed 4 place invariants in 5 ms
[2023-03-13 08:33:54] [INFO ] [Real]Absence check using 4 positive place invariants in 2 ms returned sat
[2023-03-13 08:33:54] [INFO ] After 258ms SMT Verify possible using all constraints in real domain returned unsat :22 sat :0 real:2
[2023-03-13 08:33:54] [INFO ] [Nat]Absence check using 4 positive place invariants in 1 ms returned sat
[2023-03-13 08:33:54] [INFO ] After 14ms SMT Verify possible using state equation in natural domain returned unsat :22 sat :2
[2023-03-13 08:33:54] [INFO ] After 21ms SMT Verify possible using trap constraints in natural domain returned unsat :22 sat :2
Attempting to minimize the solution found.
Minimization took 12 ms.
[2023-03-13 08:33:54] [INFO ] After 76ms SMT Verify possible using all constraints in natural domain returned unsat :22 sat :2
Fused 24 Parikh solutions to 2 different solutions.
Finished Parikh walk after 71 steps, including 0 resets, run visited all 1 properties in 1 ms. (steps per millisecond=71 )
Parikh walk visited 2 properties in 12 ms.
Successfully simplified 22 atomic propositions for a total of 15 simplifications.
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-01 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-07 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-12 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2023-03-13 08:33:54] [INFO ] Initial state reduction rules for CTL removed 2 formulas.
[2023-03-13 08:33:54] [INFO ] Flatten gal took : 67 ms
[2023-03-13 08:33:54] [INFO ] Initial state reduction rules for CTL removed 2 formulas.
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-15 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-14 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-10 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA BridgeAndVehicles-COL-V80P50N10-CTLCardinality-09 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2023-03-13 08:33:54] [INFO ] Flatten gal took : 2 ms
Arc [1:1*[(MOD (ADD $cA 1) 81)]] contains successor/predecessor on variables of sort voitureA
Arc [6:1*[(MOD (ADD (MOD (MINUS $cB 1) 81) 81) 81)]] contains successor/predecessor on variables of sort voitureB
Arc [13:1*[(MOD (ADD $cpt 1) 11)]] contains successor/predecessor on variables of sort compteur
Arc [14:1*[(MOD (ADD $s 1) 2)]] contains successor/predecessor on variables of sort sens
[2023-03-13 08:33:54] [INFO ] Unfolded HLPN to a Petri net with 188 places and 2108 transitions 15950 arcs in 114 ms.
[2023-03-13 08:33:54] [INFO ] Unfolded 8 HLPN properties in 1 ms.
Support contains 15 out of 188 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Applied a total of 0 rules in 86 ms. Remains 188 /188 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:33:55] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 188 cols
[2023-03-13 08:33:55] [INFO ] Computed 7 place invariants in 23 ms
[2023-03-13 08:33:56] [INFO ] Dead Transitions using invariants and state equation in 1326 ms found 0 transitions.
[2023-03-13 08:33:56] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:33:56] [INFO ] Invariant cache hit.
[2023-03-13 08:33:56] [INFO ] Implicit Places using invariants in 305 ms returned []
[2023-03-13 08:33:56] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:33:56] [INFO ] Invariant cache hit.
[2023-03-13 08:33:56] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:33:58] [INFO ] Implicit Places using invariants and state equation in 2098 ms returned []
Implicit Place search using SMT with State Equation took 2406 ms to find 0 implicit places.
[2023-03-13 08:33:58] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:33:58] [INFO ] Invariant cache hit.
[2023-03-13 08:33:59] [INFO ] Dead Transitions using invariants and state equation in 734 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 4578 ms. Remains : 188/188 places, 2108/2108 transitions.
Support contains 15 out of 188 places after structural reductions.
[2023-03-13 08:33:59] [INFO ] Flatten gal took : 156 ms
[2023-03-13 08:33:59] [INFO ] Flatten gal took : 119 ms
[2023-03-13 08:34:00] [INFO ] Input system was already deterministic with 2108 transitions.
Incomplete random walk after 10000 steps, including 14 resets, run finished after 388 ms. (steps per millisecond=25 ) properties (out of 33) seen :22
Incomplete Best-First random walk after 10001 steps, including 5 resets, run finished after 103 ms. (steps per millisecond=97 ) properties (out of 11) seen :1
Incomplete Best-First random walk after 10000 steps, including 6 resets, run finished after 130 ms. (steps per millisecond=76 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 6 resets, run finished after 131 ms. (steps per millisecond=76 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10000 steps, including 4 resets, run finished after 82 ms. (steps per millisecond=121 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 5 resets, run finished after 105 ms. (steps per millisecond=95 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 6 resets, run finished after 88 ms. (steps per millisecond=113 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10000 steps, including 5 resets, run finished after 84 ms. (steps per millisecond=119 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 5 resets, run finished after 83 ms. (steps per millisecond=120 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 6 resets, run finished after 161 ms. (steps per millisecond=62 ) properties (out of 10) seen :0
Incomplete Best-First random walk after 10001 steps, including 5 resets, run finished after 125 ms. (steps per millisecond=80 ) properties (out of 10) seen :0
Running SMT prover for 10 properties.
[2023-03-13 08:34:01] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:01] [INFO ] Invariant cache hit.
[2023-03-13 08:34:02] [INFO ] [Real]Absence check using 7 positive place invariants in 2 ms returned sat
[2023-03-13 08:34:02] [INFO ] After 556ms SMT Verify possible using all constraints in real domain returned unsat :8 sat :0 real:2
[2023-03-13 08:34:02] [INFO ] [Nat]Absence check using 7 positive place invariants in 3 ms returned sat
[2023-03-13 08:34:02] [INFO ] After 153ms SMT Verify possible using state equation in natural domain returned unsat :8 sat :2
[2023-03-13 08:34:02] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:34:02] [INFO ] After 112ms SMT Verify possible using 22 Read/Feed constraints in natural domain returned unsat :8 sat :2
[2023-03-13 08:34:02] [INFO ] After 284ms SMT Verify possible using trap constraints in natural domain returned unsat :8 sat :2
Attempting to minimize the solution found.
Minimization took 184 ms.
[2023-03-13 08:34:02] [INFO ] After 695ms SMT Verify possible using all constraints in natural domain returned unsat :8 sat :2
Fused 10 Parikh solutions to 2 different solutions.
Parikh walk visited 0 properties in 30 ms.
Support contains 6 out of 188 places. Attempting structural reductions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Graph (complete) has 1882 edges and 188 vertex of which 186 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.19 ms
Discarding 2 places :
Also discarding 0 output transitions
Applied a total of 1 rules in 365 ms. Remains 186 /188 variables (removed 2) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:03] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 186 cols
[2023-03-13 08:34:03] [INFO ] Computed 5 place invariants in 25 ms
[2023-03-13 08:34:04] [INFO ] Dead Transitions using invariants and state equation in 798 ms found 0 transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 1167 ms. Remains : 186/188 places, 2108/2108 transitions.
Incomplete random walk after 10000 steps, including 14 resets, run finished after 124 ms. (steps per millisecond=80 ) properties (out of 2) seen :0
Incomplete Best-First random walk after 10001 steps, including 4 resets, run finished after 42 ms. (steps per millisecond=238 ) properties (out of 2) seen :0
Incomplete Best-First random walk after 10000 steps, including 5 resets, run finished after 42 ms. (steps per millisecond=238 ) properties (out of 2) seen :0
Interrupted probabilistic random walk after 274709 steps, run timeout after 3001 ms. (steps per millisecond=91 ) properties seen :{}
Probabilistic random walk after 274709 steps, saw 75648 distinct states, run finished after 3002 ms. (steps per millisecond=91 ) properties seen :0
Running SMT prover for 2 properties.
[2023-03-13 08:34:07] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:07] [INFO ] Invariant cache hit.
[2023-03-13 08:34:07] [INFO ] [Real]Absence check using 5 positive place invariants in 1 ms returned sat
[2023-03-13 08:34:07] [INFO ] After 309ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:2
[2023-03-13 08:34:07] [INFO ] [Nat]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-13 08:34:07] [INFO ] After 157ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:07] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:34:08] [INFO ] After 176ms SMT Verify possible using 22 Read/Feed constraints in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:08] [INFO ] After 446ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :2
Attempting to minimize the solution found.
Minimization took 294 ms.
[2023-03-13 08:34:08] [INFO ] After 1013ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :2
Parikh walk visited 0 properties in 29 ms.
Support contains 6 out of 186 places. Attempting structural reductions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 186/186 places, 2108/2108 transitions.
Applied a total of 0 rules in 283 ms. Remains 186 /186 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 283 ms. Remains : 186/186 places, 2108/2108 transitions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 186/186 places, 2108/2108 transitions.
Applied a total of 0 rules in 373 ms. Remains 186 /186 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:09] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:09] [INFO ] Invariant cache hit.
[2023-03-13 08:34:09] [INFO ] Implicit Places using invariants in 277 ms returned []
[2023-03-13 08:34:09] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:09] [INFO ] Invariant cache hit.
[2023-03-13 08:34:09] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:34:11] [INFO ] Implicit Places using invariants and state equation in 1384 ms returned [83, 167]
Discarding 2 places :
Implicit Place search using SMT with State Equation took 1670 ms to find 2 implicit places.
Starting structural reductions in REACHABILITY mode, iteration 1 : 184/186 places, 2108/2108 transitions.
Applied a total of 0 rules in 314 ms. Remains 184 /184 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
Finished structural reductions in REACHABILITY mode , in 2 iterations and 2359 ms. Remains : 184/186 places, 2108/2108 transitions.
Incomplete random walk after 10000 steps, including 14 resets, run finished after 102 ms. (steps per millisecond=98 ) properties (out of 2) seen :0
Incomplete Best-First random walk after 10001 steps, including 4 resets, run finished after 33 ms. (steps per millisecond=303 ) properties (out of 2) seen :0
Incomplete Best-First random walk after 10001 steps, including 5 resets, run finished after 40 ms. (steps per millisecond=250 ) properties (out of 2) seen :0
Interrupted probabilistic random walk after 265243 steps, run timeout after 3001 ms. (steps per millisecond=88 ) properties seen :{}
Probabilistic random walk after 265243 steps, saw 73087 distinct states, run finished after 3001 ms. (steps per millisecond=88 ) properties seen :0
Running SMT prover for 2 properties.
[2023-03-13 08:34:14] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 184 cols
[2023-03-13 08:34:14] [INFO ] Computed 5 place invariants in 5 ms
[2023-03-13 08:34:14] [INFO ] [Real]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-13 08:34:14] [INFO ] After 200ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:2
[2023-03-13 08:34:14] [INFO ] [Nat]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-13 08:34:15] [INFO ] After 178ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:15] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:34:15] [INFO ] After 151ms SMT Verify possible using 22 Read/Feed constraints in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:15] [INFO ] After 391ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :2
Attempting to minimize the solution found.
Minimization took 153 ms.
[2023-03-13 08:34:15] [INFO ] After 781ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :2
Parikh walk visited 0 properties in 7 ms.
Support contains 6 out of 184 places. Attempting structural reductions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 184/184 places, 2108/2108 transitions.
Applied a total of 0 rules in 215 ms. Remains 184 /184 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 215 ms. Remains : 184/184 places, 2108/2108 transitions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 184/184 places, 2108/2108 transitions.
Applied a total of 0 rules in 167 ms. Remains 184 /184 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:16] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:16] [INFO ] Invariant cache hit.
[2023-03-13 08:34:16] [INFO ] Implicit Places using invariants in 394 ms returned []
[2023-03-13 08:34:16] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:16] [INFO ] Invariant cache hit.
[2023-03-13 08:34:16] [INFO ] State equation strengthened by 22 read => feed constraints.
[2023-03-13 08:34:17] [INFO ] Implicit Places using invariants and state equation in 830 ms returned []
Implicit Place search using SMT with State Equation took 1226 ms to find 0 implicit places.
[2023-03-13 08:34:17] [INFO ] Redundant transitions in 116 ms returned []
[2023-03-13 08:34:17] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
[2023-03-13 08:34:17] [INFO ] Invariant cache hit.
[2023-03-13 08:34:17] [INFO ] Dead Transitions using invariants and state equation in 628 ms found 0 transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 2157 ms. Remains : 184/184 places, 2108/2108 transitions.
Ensure Unique test removed 1738 transitions
Reduce isomorphic transitions removed 1738 transitions.
Iterating post reduction 0 with 1738 rules applied. Total rules applied 1738 place count 184 transition count 370
Free-agglomeration rule (complex) applied 1 times.
Iterating global reduction 1 with 1 rules applied. Total rules applied 1739 place count 184 transition count 369
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 1 with 1 rules applied. Total rules applied 1740 place count 183 transition count 369
Applied a total of 1740 rules in 21 ms. Remains 183 /184 variables (removed 1) and now considering 369/2108 (removed 1739) transitions.
Running SMT prover for 2 properties.
// Phase 1: matrix 369 rows 183 cols
[2023-03-13 08:34:18] [INFO ] Computed 5 place invariants in 2 ms
[2023-03-13 08:34:18] [INFO ] [Real]Absence check using 5 positive place invariants in 5 ms returned sat
[2023-03-13 08:34:18] [INFO ] After 167ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:2
[2023-03-13 08:34:18] [INFO ] [Nat]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-13 08:34:18] [INFO ] After 148ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:18] [INFO ] State equation strengthened by 1 read => feed constraints.
[2023-03-13 08:34:18] [INFO ] After 59ms SMT Verify possible using 1 Read/Feed constraints in natural domain returned unsat :0 sat :2
[2023-03-13 08:34:18] [INFO ] After 148ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :2
Attempting to minimize the solution found.
Minimization took 58 ms.
[2023-03-13 08:34:18] [INFO ] After 401ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :2
Successfully simplified 8 atomic propositions for a total of 8 simplifications.
[2023-03-13 08:34:18] [INFO ] Flatten gal took : 61 ms
[2023-03-13 08:34:18] [INFO ] Flatten gal took : 73 ms
[2023-03-13 08:34:18] [INFO ] Input system was already deterministic with 2108 transitions.
Computed a total of 171 stabilizing places and 324 stable transitions
Graph (complete) has 4310 edges and 188 vertex of which 186 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.13 ms
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 187 transition count 2108
Applied a total of 1 rules in 13 ms. Remains 187 /188 variables (removed 1) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:18] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 187 cols
[2023-03-13 08:34:18] [INFO ] Computed 6 place invariants in 5 ms
[2023-03-13 08:34:19] [INFO ] Dead Transitions using invariants and state equation in 675 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 693 ms. Remains : 187/188 places, 2108/2108 transitions.
[2023-03-13 08:34:19] [INFO ] Flatten gal took : 66 ms
[2023-03-13 08:34:19] [INFO ] Flatten gal took : 67 ms
[2023-03-13 08:34:19] [INFO ] Input system was already deterministic with 2108 transitions.
Starting structural reductions in SI_CTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Graph (complete) has 4310 edges and 188 vertex of which 186 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.5 ms
Discarding 2 places :
Also discarding 0 output transitions
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 2 place count 185 transition count 2107
Iterating global reduction 0 with 1 rules applied. Total rules applied 3 place count 185 transition count 2107
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Deduced a syphon composed of 1 places in 4 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 0 with 3 rules applied. Total rules applied 6 place count 183 transition count 2106
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Deduced a syphon composed of 2 places in 4 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 0 with 4 rules applied. Total rules applied 10 place count 181 transition count 2104
Applied a total of 10 rules in 617 ms. Remains 181 /188 variables (removed 7) and now considering 2104/2108 (removed 4) transitions.
Finished structural reductions in SI_CTL mode , in 1 iterations and 618 ms. Remains : 181/188 places, 2104/2108 transitions.
[2023-03-13 08:34:20] [INFO ] Flatten gal took : 50 ms
[2023-03-13 08:34:20] [INFO ] Flatten gal took : 52 ms
[2023-03-13 08:34:20] [INFO ] Input system was already deterministic with 2104 transitions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 186 transition count 2108
Applied a total of 2 rules in 13 ms. Remains 186 /188 variables (removed 2) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:20] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 186 cols
[2023-03-13 08:34:20] [INFO ] Computed 5 place invariants in 4 ms
[2023-03-13 08:34:21] [INFO ] Dead Transitions using invariants and state equation in 719 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 738 ms. Remains : 186/188 places, 2108/2108 transitions.
[2023-03-13 08:34:21] [INFO ] Flatten gal took : 53 ms
[2023-03-13 08:34:21] [INFO ] Flatten gal took : 52 ms
[2023-03-13 08:34:21] [INFO ] Input system was already deterministic with 2108 transitions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Applied a total of 0 rules in 11 ms. Remains 188 /188 variables (removed 0) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:21] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 188 cols
[2023-03-13 08:34:21] [INFO ] Computed 7 place invariants in 11 ms
[2023-03-13 08:34:22] [INFO ] Dead Transitions using invariants and state equation in 678 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 694 ms. Remains : 188/188 places, 2108/2108 transitions.
[2023-03-13 08:34:22] [INFO ] Flatten gal took : 55 ms
[2023-03-13 08:34:22] [INFO ] Flatten gal took : 56 ms
[2023-03-13 08:34:22] [INFO ] Input system was already deterministic with 2108 transitions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 186 transition count 2108
Applied a total of 2 rules in 13 ms. Remains 186 /188 variables (removed 2) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:22] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 186 cols
[2023-03-13 08:34:22] [INFO ] Computed 5 place invariants in 2 ms
[2023-03-13 08:34:23] [INFO ] Dead Transitions using invariants and state equation in 646 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 662 ms. Remains : 186/188 places, 2108/2108 transitions.
[2023-03-13 08:34:23] [INFO ] Flatten gal took : 51 ms
[2023-03-13 08:34:23] [INFO ] Flatten gal took : 59 ms
[2023-03-13 08:34:23] [INFO ] Input system was already deterministic with 2108 transitions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 186 transition count 2108
Discarding 1 places :
Symmetric choice reduction at 1 with 1 rule applications. Total rules 3 place count 185 transition count 2107
Iterating global reduction 1 with 1 rules applied. Total rules applied 4 place count 185 transition count 2107
Applied a total of 4 rules in 24 ms. Remains 185 /188 variables (removed 3) and now considering 2107/2108 (removed 1) transitions.
[2023-03-13 08:34:23] [INFO ] Flow matrix only has 369 transitions (discarded 1738 similar events)
// Phase 1: matrix 369 rows 185 cols
[2023-03-13 08:34:23] [INFO ] Computed 5 place invariants in 2 ms
[2023-03-13 08:34:24] [INFO ] Dead Transitions using invariants and state equation in 645 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 671 ms. Remains : 185/188 places, 2107/2108 transitions.
[2023-03-13 08:34:24] [INFO ] Flatten gal took : 50 ms
[2023-03-13 08:34:24] [INFO ] Flatten gal took : 59 ms
[2023-03-13 08:34:24] [INFO ] Input system was already deterministic with 2107 transitions.
Starting structural reductions in SI_CTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Graph (complete) has 4310 edges and 188 vertex of which 186 are kept as prefixes of interest. Removing 2 places using SCC suffix rule.5 ms
Discarding 2 places :
Also discarding 0 output transitions
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 2 place count 185 transition count 2107
Iterating global reduction 0 with 1 rules applied. Total rules applied 3 place count 185 transition count 2107
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Deduced a syphon composed of 1 places in 4 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 0 with 3 rules applied. Total rules applied 6 place count 183 transition count 2106
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Deduced a syphon composed of 2 places in 4 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 0 with 4 rules applied. Total rules applied 10 place count 181 transition count 2104
Applied a total of 10 rules in 247 ms. Remains 181 /188 variables (removed 7) and now considering 2104/2108 (removed 4) transitions.
Finished structural reductions in SI_CTL mode , in 1 iterations and 249 ms. Remains : 181/188 places, 2104/2108 transitions.
[2023-03-13 08:34:25] [INFO ] Flatten gal took : 40 ms
[2023-03-13 08:34:25] [INFO ] Flatten gal took : 46 ms
[2023-03-13 08:34:25] [INFO ] Input system was already deterministic with 2104 transitions.
Starting structural reductions in LTL mode, iteration 0 : 188/188 places, 2108/2108 transitions.
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 187 transition count 2108
Applied a total of 1 rules in 13 ms. Remains 187 /188 variables (removed 1) and now considering 2108/2108 (removed 0) transitions.
[2023-03-13 08:34:25] [INFO ] Flow matrix only has 370 transitions (discarded 1738 similar events)
// Phase 1: matrix 370 rows 187 cols
[2023-03-13 08:34:25] [INFO ] Computed 6 place invariants in 3 ms
[2023-03-13 08:34:26] [INFO ] Dead Transitions using invariants and state equation in 866 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 881 ms. Remains : 187/188 places, 2108/2108 transitions.
[2023-03-13 08:34:26] [INFO ] Flatten gal took : 49 ms
[2023-03-13 08:34:26] [INFO ] Flatten gal took : 52 ms
[2023-03-13 08:34:26] [INFO ] Input system was already deterministic with 2108 transitions.
[2023-03-13 08:34:26] [INFO ] Flatten gal took : 51 ms
[2023-03-13 08:34:26] [INFO ] Flatten gal took : 51 ms
[2023-03-13 08:34:26] [INFO ] Export to MCC of 8 properties in file /home/mcc/execution/CTLCardinality.sr.xml took 2 ms.
[2023-03-13 08:34:26] [INFO ] Export to PNML in file /home/mcc/execution/model.sr.pnml of net with 188 places, 2108 transitions and 15950 arcs took 16 ms.
Total runtime 33520 ms.
There are residual formulas that ITS could not solve within timeout
timeout --kill-after=10s --signal=SIGINT 1m for testing only
Marcie built on Linux at 2019-11-18.
A model checker for Generalized Stochastic Petri nets
authors: Alex Tovchigrechko (IDD package and CTL model checking)
Martin Schwarick (Symbolic numerical analysis and CSL model checking)
Christian Rohr (Simulative and approximative numerical model checking)
marcie@informatik.tu-cottbus.de
called as: /home/mcc/BenchKit/bin//../reducer/bin//../../marcie/bin/marcie --net-file=model.pnml --mcc-file=CTLCardinality.xml --memory=6 --mcc-mode
parse successfull
net created successfully
Net: Petri
(NrP: 188 NrTr: 2108 NrArc: 15950)
parse formulas
formulas created successfully
place and transition orderings generation:0m 0.044sec
net check time: 0m 0.001sec
init dd package: 0m 3.066sec
before gc: list nodes free: 2318696
after gc: idd nodes used:24263861, unused:39736139; list nodes free:238985797
before gc: list nodes free: 527750
after gc: idd nodes used:35060020, unused:28939980; list nodes free:187282367
TIME LIMIT: Killed by timeout after 3600 seconds
MemTotal: 16393356 kB
MemFree: 4212736 kB
After kill :
MemTotal: 16393356 kB
MemFree: 16095116 kB
BK_TIME_CONFINEMENT_REACHED
--------------------
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_1.0.0.202303021504.jar
+ VERSION=202303021504
+ echo 'Running Version 202303021504'
+ /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/its-tools -pnfolder /home/mcc/execution -examination CTLCardinality -timeout 360 -rebuildPNML
check for maximal unmarked siphon
ok
check for constant places
ok
check if there are places and transitions
ok
check if there are transitions without pre-places
ok
check if at least one transition is enabled in m0
ok
check if there are transitions that can never fire
ok
initing FirstDep: 0m 0.003sec
1182289 3761818 6885911 11050215 13483785 14737770 18029888 19724365 21957112 24574684 28449317 32045692 32879040 35069018 37122692 38186636 38557836 39197326
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="BridgeAndVehicles-COL-V80P50N10"
export BK_EXAMINATION="CTLCardinality"
export BK_TOOL="marciexred"
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 2-5348"
echo " Executing tool marciexred"
echo " Input is BridgeAndVehicles-COL-V80P50N10, examination is CTLCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r042-tajo-167813695300137"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/BridgeAndVehicles-COL-V80P50N10.tgz
mv BridgeAndVehicles-COL-V80P50N10 execution
cd execution
if [ "CTLCardinality" = "ReachabilityDeadlock" ] || [ "CTLCardinality" = "UpperBounds" ] || [ "CTLCardinality" = "QuasiLiveness" ] || [ "CTLCardinality" = "StableMarking" ] || [ "CTLCardinality" = "Liveness" ] || [ "CTLCardinality" = "OneSafe" ] || [ "CTLCardinality" = "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 [ "CTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "CTLCardinality" != "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 "CTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property CTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "CTLCardinality.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 [ "CTLCardinality" = "ReachabilityDeadlock" ] || [ "CTLCardinality" = "QuasiLiveness" ] || [ "CTLCardinality" = "StableMarking" ] || [ "CTLCardinality" = "Liveness" ] || [ "CTLCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME CTLCardinality"
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 ;