Trace number 3434129

Some explanations

A solver is run under the control of another program named runsolver. runsolver is in charge of imposing the CPU time limit and the memory limit to the solver. It also monitors some information about the process. The trace of the execution of a solver is divided into four (or five) parts:
  1. SOLVER DATA
    This is the output of the solver (stdout and stderr).
    Note that some very long lines in this section may be truncated by your web browser ! In such a case, you may want to use the "Download as text" link to get the trace as a text file.

    When the --timestamp option is passed to the runsolver program, each line output by the solver is prepended with a timestamp which indicates at what time the line was output by the solver. Times are relative to the start of the program, given in seconds. The first timestamp (if present) is estimated CPU time. The last timestamp is wall clock time.

    As some 'v lines' may be very long (sometimes several megabytes), the 'v line' output by your solver may be split on several lines to help limit the size of the trace recorded in the database. In any case, the exact output of your solver is preserved in a trace file.
  2. VERIFIER DATA
    The output of the solver is piped to a verifier program which will search a value line "v " and, if found, will check that the given interpretation satisfies all constraints.
  3. CONVERSION SCRIPT DATA (Optionnal)
    When a conversion script is used, this section shows the messages that were output by the conversion script.
  4. WATCHER DATA
    This is the informations gathered by the runsolver program. It first prints the different limits. There's a first limit on CPU time set to X seconds (see the parameters in the trace). After this time has ellapsed, runsolver sends a SIGTERM and 2 seconds later a SIGKILL to the solver. For safety, there's also another limit set to X+30 seconds which will send a SIGXPU to the solver. The last limit is on the virtual memory used by the process (see the parameters in the trace).
    Every ten seconds, the runsolver process fetches the content of /proc/loadavg, /proc/pid/stat and /proc/pid/statm (see man proc) and prints it as raw data. This is only recorded in case we need to investigate the behaviour of a solver. The memory used by the solver (vsize) is also given every ten seconds.
    When the solver exits, runsolver prints some informations such as status and time. CPU usage is the ratio CPU Time/Real Time.
  5. LAUNCHER DATA
    These informations are related to the script which will launch the solver. The most important informations are the command line given to the solver, the md5sum of the different files and the dump of the /proc/cpuinfo and /proc/meminfo which provides some useful information on the computer.

Solver answer on this benchmark

Solver NameAnswerCPU timeWall clock time
minisat hack: MiniSAT 2.2.0-agile-26UNSAT 4916.24 4916.19

General information on the benchmark

NameSAT02/industrial/goldberg/rand_net/
rand_net70-60-10.shuffled.cnf
MD5SUM6ebe2de27b5534e626cb88c01abcf6c6
Bench CategoryAPPLICATION (applications instances)
Best result obtained on this benchmarkUNSAT
Best CPU time to get the best result obtained on this benchmark0.027995
Satisfiable
(Un)Satisfiability was proved
Number of variables8400
Number of clauses25061
Sum of the clauses size58730
Maximum clause length70
Minimum clause length2
Number of clauses of size 10
Number of clauses of size 216520
Number of clauses of size 38540
Number of clauses of size 40
Number of clauses of size 50
Number of clauses of size over 51

Solver Data 

4916.14/4916.18	WARNING: for repeatability, setting FPU to use double precision
4916.14/4916.18	============================[ Problem Statistics ]=============================
4916.14/4916.18	|                                                                             |
4916.14/4916.18	|  Number of variables:          8400                                         |
4916.14/4916.18	|  Number of clauses:           25061                                         |
4916.14/4916.18	|  Parse time:                   0.01 s                                       |
4916.14/4916.18	|  Eliminated clauses:           0.13 Mb                                      |
4916.14/4916.18	|  Simplification time:          0.03 s                                       |
4916.14/4916.18	|                                                                             |
4916.14/4916.18	============================[ Search Statistics ]=================================
4916.14/4916.18	| Conflicts |          ORIGINAL         |          LEARNT          | Progress    |
4916.14/4916.18	|           |    Vars  Clauses Literals |    Limit  Clauses Lit/Cl |     Agility |
4916.14/4916.18	==================================================================================
4916.14/4916.18	|       100 |    5206    18995    50412 |     6964      100     67 |  0.000 % 27 |
4916.14/4916.18	|       250 |    5206    18995    50412 |     7661      250     84 |  0.000 % 26 |
4916.14/4916.18	|       475 |    5206    18995    50412 |     8427      475     73 |  0.000 % 13 |
4916.14/4916.18	|       812 |    5206    18995    50412 |     9270      812     55 |  0.000 %  7 |
4916.14/4916.18	|      1318 |    5206    18995    50412 |    10197     1318     66 |  0.000 % 16 |
4916.14/4916.18	|      2077 |    5206    18995    50412 |    11216     2077     56 |  0.000 % 21 |
4916.14/4916.18	|      3216 |    5206    18995    50412 |    12338     3216     58 |  0.000 % 10 |
4916.14/4916.18	|      4924 |    5206    18995    50412 |    13572     4924     58 |  0.000 % 15 |
4916.14/4916.18	|      7486 |    5206    18995    50412 |    14929     7486     54 |  0.000 % 16 |
4916.14/4916.18	|     11330 |    5206    18995    50412 |    16422    11330     53 |  0.000 % 15 |
4916.14/4916.18	|     17096 |    5206    18995    50412 |    18064    17096     55 |  0.000 % 23 |
4916.14/4916.18	|     25745 |    5206    18995    50412 |    19871    16468     57 |  0.000 % 12 |
4916.14/4916.18	|     38719 |    5206    18995    50412 |    21858    19443     46 |  0.000 % 11 |
4916.14/4916.18	|     58180 |    5206    18995    50412 |    24044    16516     44 |  0.000 % 14 |
4916.14/4916.18	|     87372 |    5206    18995    50412 |    26448    21639     45 |  0.000 % 18 |
4916.14/4916.18	|    131161 |    5206    18995    50412 |    29093    24307     52 |  0.000 % 18 |
4916.14/4916.18	|    196845 |    5206    18995    50412 |    32003    16035     57 |  0.000 % 14 |
4916.14/4916.18	|    295371 |    5206    18995    50412 |    35203    16591     50 |  0.000 % 12 |
4916.14/4916.18	|    443160 |    5206    18995    50412 |    38723    19363     58 |  0.000 % 20 |
4916.14/4916.18	|    664843 |    5206    18995    50412 |    42596    20772     50 |  0.000 % 14 |
4916.14/4916.18	|    997368 |    5206    18995    50412 |    46855    31931     66 |  0.000 % 15 |
4916.14/4916.18	|   1496156 |    5206    18995    50412 |    51541    30410     47 |  0.000 % 21 |
4916.14/4916.18	|   2244338 |    5206    18995    50412 |    56695    44967     79 |  0.000 % 15 |
4916.14/4916.18	|   3366612 |    5206    18995    50412 |    62365    29364     49 |  0.000 % 17 |
4916.14/4916.18	|   5050023 |    5206    18995    50412 |    68601    42322     67 |  0.000 % 18 |
4916.14/4916.18	|   7575139 |    5206    18995    50412 |    75461    43179     72 |  0.000 % 19 |
4916.14/4916.18	|  11362814 |    5206    18995    50412 |    83008    52985     53 |  0.000 % 17 |
4916.14/4916.18	|  17044326 |    5206    18995    50412 |    91308    80416     62 |  0.000 % 22 |
4916.14/4916.18	===============================================================================
4916.14/4916.18	restarts              : 33853
4916.14/4916.18	skipped               : 235
4916.14/4916.18	conflicts             : 25133433       (5112 /sec)
4916.14/4916.18	decisions             : 47112222       (0.00 % random) (9583 /sec)
4916.14/4916.18	propagations          : 13943875955    (2836375 /sec)
4916.14/4916.18	conflict literals     : 1663158565     (49.38 % deleted)
4916.14/4916.18	Memory used           : 221.00 MB
4916.14/4916.18	CPU time              : 4916.09 s
4916.14/4916.18	
4916.14/4916.18	s UNSATISFIABLE

Verifier Data 

No possible verification on an UNSAT instance

Watcher Data 

runsolver Copyright (C) 2010-2011 Olivier ROUSSEL

This is runsolver version 3.3.0 (svn: 977)

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

command line: BIN/runsolver --timestamp -w /tmp/evaluation-result-3434129-1306899774/watcher-3434129-1306899774 -o /tmp/evaluation-result-3434129-1306899774/solver-3434129-1306899774 -C 5000 -W 5100 -M 15500 minisat HOME/instance-3434129-1306899774.cnf 

running on 4 cores: 1,3,5,7

Enforcing CPUTime limit (soft limit, will send SIGTERM then SIGKILL): 5000 seconds
Enforcing CPUTime limit (hard limit, will send SIGXCPU): 5030 seconds
Enforcing wall clock limit (soft limit, will send SIGTERM then SIGKILL): 5100 seconds
Enforcing VSIZE limit (soft limit, will send SIGTERM then SIGKILL): 15872000 KiB
Enforcing VSIZE limit (hard limit, stack expansion will fail with SIGSEGV, brk() and mmap() will return ENOMEM): 15923200 KiB
Current StackSize limit: 10240 KiB


[startup+0 s]
/proc/loadavg: 1.98 1.53 1.26 2/498 28915
/proc/meminfo: memFree=6343440/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=21892 CPUtime=0.01 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 1193 0 0 0 1 0 0 0 25 0 1 0 880208112 22417408 1111 33554432000 4194304 4291235 140734728638400 18446744073709551615 4229923 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 5473 1111 238 24 0 2107 0

[startup+0.057451 s]
/proc/loadavg: 1.98 1.53 1.26 2/498 28915
/proc/meminfo: memFree=6343440/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=18228 CPUtime=0.05 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 1520 0 0 0 5 0 0 0 25 0 1 0 880208112 18665472 1213 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248396 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 4557 1213 256 24 0 1191 0
Current children cumulated CPU time (s) 0.05
Current children cumulated vsize (KiB) 18228

[startup+0.100437 s]
/proc/loadavg: 1.98 1.53 1.26 2/498 28915
/proc/meminfo: memFree=6343440/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=18468 CPUtime=0.09 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 1554 0 0 0 9 0 0 0 25 0 1 0 880208112 18911232 1247 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255903 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 4617 1247 258 24 0 1251 0
Current children cumulated CPU time (s) 0.09
Current children cumulated vsize (KiB) 18468

[startup+0.300403 s]
/proc/loadavg: 1.98 1.53 1.26 2/498 28915
/proc/meminfo: memFree=6343440/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=19492 CPUtime=0.29 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 1719 0 0 0 29 0 0 0 25 0 1 0 880208112 19959808 1408 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256265 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 4873 1408 258 24 0 1507 0
Current children cumulated CPU time (s) 0.29
Current children cumulated vsize (KiB) 19492

[startup+0.700335 s]
/proc/loadavg: 1.98 1.53 1.26 2/498 28915
/proc/meminfo: memFree=6343440/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=20520 CPUtime=0.69 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 1952 0 0 0 69 0 0 0 25 0 1 0 880208112 21012480 1638 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255634 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 5130 1638 258 24 0 1764 0
Current children cumulated CPU time (s) 0.69
Current children cumulated vsize (KiB) 20520

[startup+1.50018 s]
/proc/loadavg: 1.98 1.53 1.26 3/499 28916
/proc/meminfo: memFree=6336372/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=22592 CPUtime=1.49 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 2511 0 0 0 149 0 0 0 25 0 1 0 880208112 23134208 2188 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248548 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 5648 2188 258 24 0 2282 0
Current children cumulated CPU time (s) 1.49
Current children cumulated vsize (KiB) 22592

[startup+3.10089 s]
/proc/loadavg: 1.98 1.53 1.26 3/499 28916
/proc/meminfo: memFree=6331908/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=32540 CPUtime=3.09 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 5228 0 0 0 309 0 0 0 25 0 1 0 880208112 33320960 3674 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248284 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 8135 3674 258 24 0 4769 0
Current children cumulated CPU time (s) 3.09
Current children cumulated vsize (KiB) 32540

[startup+6.3003 s]
/proc/loadavg: 1.98 1.54 1.26 3/499 28917
/proc/meminfo: memFree=6326080/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=32540 CPUtime=6.29 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 6377 0 0 0 629 0 0 0 25 0 1 0 880208112 33320960 4775 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255653 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 8135 4775 258 24 0 4769 0
Current children cumulated CPU time (s) 6.29
Current children cumulated vsize (KiB) 32540

[startup+12.7011 s]
/proc/loadavg: 1.98 1.54 1.27 3/499 28917
/proc/meminfo: memFree=6330208/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=32544 CPUtime=12.69 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 7308 0 0 0 1268 1 0 0 25 0 1 0 880208112 33325056 3471 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256232 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 8136 3471 258 24 0 4770 0
Current children cumulated CPU time (s) 12.69
Current children cumulated vsize (KiB) 32544

[startup+25.5007 s]
/proc/loadavg: 1.98 1.57 1.28 3/499 28917
/proc/meminfo: memFree=6320036/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=36964 CPUtime=25.49 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 9821 0 0 0 2548 1 0 0 25 0 1 0 880208112 37851136 5894 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255634 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 9241 5894 258 24 0 5875 0
Current children cumulated CPU time (s) 25.49
Current children cumulated vsize (KiB) 36964

[startup+51.101 s]
/proc/loadavg: 2.11 1.63 1.31 3/499 28918
/proc/meminfo: memFree=6309092/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=49680 CPUtime=51.09 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 18550 0 0 0 5107 2 0 0 25 0 1 0 880208112 50872320 8670 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256127 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 12420 8670 258 24 0 9054 0
Current children cumulated CPU time (s) 51.09
Current children cumulated vsize (KiB) 49680

[startup+102.319 s]
/proc/loadavg: 2.11 1.70 1.34 3/499 28919
/proc/meminfo: memFree=6298008/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=56860 CPUtime=102.31 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 20789 0 0 0 10229 2 0 0 25 0 1 0 880208112 58224640 10868 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256145 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 14215 10868 258 24 0 10849 0
Current children cumulated CPU time (s) 102.31
Current children cumulated vsize (KiB) 56860

[startup+162.3 s]
/proc/loadavg: 2.04 1.75 1.38 3/499 28921
/proc/meminfo: memFree=6294744/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=56860 CPUtime=162.29 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 20789 0 0 0 16227 2 0 0 25 0 1 0 880208112 58224640 10868 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255883 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 14215 10868 258 24 0 10849 0
Current children cumulated CPU time (s) 162.29
Current children cumulated vsize (KiB) 56860

[startup+222.3 s]
/proc/loadavg: 2.01 1.80 1.42 3/499 28922
/proc/meminfo: memFree=6294204/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=61552 CPUtime=222.29 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 24331 0 0 0 22226 3 0 0 25 0 1 0 880208112 63029248 10924 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248365 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 15388 10924 258 24 0 12022 0
Current children cumulated CPU time (s) 222.29
Current children cumulated vsize (KiB) 61552

[startup+282.3 s]
/proc/loadavg: 2.10 1.86 1.46 3/499 28924
/proc/meminfo: memFree=6293040/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=61552 CPUtime=282.3 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 24665 0 0 0 28227 3 0 0 25 0 1 0 880208112 63029248 11254 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248301 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 15388 11254 258 24 0 12022 0
Current children cumulated CPU time (s) 282.3
Current children cumulated vsize (KiB) 61552

[startup+342.301 s]
/proc/loadavg: 2.08 1.90 1.50 3/499 28926
/proc/meminfo: memFree=6286048/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=68700 CPUtime=342.31 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 26484 0 0 0 34227 4 0 0 25 0 1 0 880208112 70348800 13024 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256145 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 17175 13024 258 24 0 13809 0
Current children cumulated CPU time (s) 342.31
Current children cumulated vsize (KiB) 68700

[startup+402.301 s]
/proc/loadavg: 2.03 1.91 1.53 3/499 28927
/proc/meminfo: memFree=6282896/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=68700 CPUtime=402.31 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 27282 0 0 0 40227 4 0 0 25 0 1 0 880208112 70348800 13812 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255618 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 17175 13812 258 24 0 13809 0
Current children cumulated CPU time (s) 402.31
Current children cumulated vsize (KiB) 68700

[startup+462.301 s]
/proc/loadavg: 2.01 1.93 1.55 3/499 28929
/proc/meminfo: memFree=6264100/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=91940 CPUtime=462.3 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 37239 0 0 0 46225 5 0 0 25 0 1 0 880208112 94146560 18620 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255683 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 22985 18620 258 24 0 19619 0
Current children cumulated CPU time (s) 462.3
Current children cumulated vsize (KiB) 91940

[startup+522.301 s]
/proc/loadavg: 2.00 1.94 1.58 3/499 28930
/proc/meminfo: memFree=6261812/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=91940 CPUtime=522.31 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 37796 0 0 0 52226 5 0 0 25 0 1 0 880208112 94146560 19171 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255683 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 22985 19171 258 24 0 19619 0
Current children cumulated CPU time (s) 522.31
Current children cumulated vsize (KiB) 91940

[startup+582.301 s]
/proc/loadavg: 2.00 1.95 1.60 3/499 28932
/proc/meminfo: memFree=6261772/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=91940 CPUtime=582.31 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 37796 0 0 0 58226 5 0 0 25 0 1 0 880208112 94146560 19171 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255856 0 0 4096 8388610 0 0 0 17 1 0 0 0
/proc/28915/statm: 22985 19171 258 24 0 19619 0
Current children cumulated CPU time (s) 582.31
Current children cumulated vsize (KiB) 91940

[startup+642.301 s]

################
# More data... #
################

/proc/meminfo: memFree=97156/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4182.32 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 75140 0 0 0 418221 11 0 0 25 0 1 0 880208112 181764096 40964 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255875 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 40964 258 24 0 41010 0
Current children cumulated CPU time (s) 4182.32
Current children cumulated vsize (KiB) 177504

[startup+4242.3 s]
/proc/loadavg: 2.00 2.01 2.00 3/499 29068
/proc/meminfo: memFree=97180/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4242.32 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 75171 0 0 0 424221 11 0 0 25 0 1 0 880208112 181764096 40995 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255683 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 40995 258 24 0 41010 0
Current children cumulated CPU time (s) 4242.32
Current children cumulated vsize (KiB) 177504

[startup+4302.3 s]
/proc/loadavg: 2.06 2.03 2.01 3/499 29070
/proc/meminfo: memFree=93268/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4302.32 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 75171 0 0 0 430221 11 0 0 25 0 1 0 880208112 181764096 40995 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255683 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 40995 258 24 0 41010 0
Current children cumulated CPU time (s) 4302.32
Current children cumulated vsize (KiB) 177504

[startup+4362.3 s]
/proc/loadavg: 2.16 2.06 2.01 3/499 29072
/proc/meminfo: memFree=97152/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4362.32 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 75171 0 0 0 436221 11 0 0 25 0 1 0 880208112 181764096 40995 33554432000 4194304 4291235 140734728638400 18446744073709551615 4261941 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 40995 258 24 0 41010 0
Current children cumulated CPU time (s) 4362.32
Current children cumulated vsize (KiB) 177504

[startup+4422.3 s]
/proc/loadavg: 2.12 2.06 2.01 3/499 29073
/proc/meminfo: memFree=127260/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4422.33 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 91982 0 0 0 442220 13 0 0 25 0 1 0 880208112 181764096 41003 33554432000 4194304 4291235 140734728638400 18446744073709551615 4261987 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41003 258 24 0 41010 0
Current children cumulated CPU time (s) 4422.33
Current children cumulated vsize (KiB) 177504

[startup+4482.3 s]
/proc/loadavg: 2.04 2.05 2.00 3/499 29075
/proc/meminfo: memFree=94452/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4482.33 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 448219 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248304 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4482.33
Current children cumulated vsize (KiB) 177504

[startup+4542.3 s]
/proc/loadavg: 2.01 2.04 2.00 3/499 29076
/proc/meminfo: memFree=92616/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4542.33 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 454219 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256145 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4542.33
Current children cumulated vsize (KiB) 177504

[startup+4602.3 s]
/proc/loadavg: 2.00 2.03 2.00 3/499 29078
/proc/meminfo: memFree=92276/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4602.35 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 460221 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255683 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4602.35
Current children cumulated vsize (KiB) 177504

[startup+4662.3 s]
/proc/loadavg: 2.00 2.02 2.00 3/499 29080
/proc/meminfo: memFree=97472/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4662.34 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 466220 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255562 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4662.34
Current children cumulated vsize (KiB) 177504

[startup+4722.32 s]
/proc/loadavg: 2.00 2.01 2.00 3/499 29090
/proc/meminfo: memFree=97356/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4722.36 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 472222 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248348 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4722.36
Current children cumulated vsize (KiB) 177504

[startup+4782.3 s]
/proc/loadavg: 2.10 2.04 2.01 3/499 29092
/proc/meminfo: memFree=93812/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4782.34 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 478220 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255622 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4782.34
Current children cumulated vsize (KiB) 177504

[startup+4842.3 s]
/proc/loadavg: 2.07 2.04 2.01 3/499 29094
/proc/meminfo: memFree=91964/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4842.34 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 484220 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4263440 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4842.34
Current children cumulated vsize (KiB) 177504

[startup+4902.3 s]
/proc/loadavg: 2.03 2.03 2.00 3/499 29095
/proc/meminfo: memFree=95816/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4902.34 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 490220 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248950 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4902.34
Current children cumulated vsize (KiB) 177504

Solver just ended. Dumping a history of the last processes samples

[startup+4908.7 s]
/proc/loadavg: 2.18 2.06 2.01 3/499 29095
/proc/meminfo: memFree=98924/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4908.74 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 490860 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4248304 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4908.74
Current children cumulated vsize (KiB) 177504

[startup+4911.9 s]
/proc/loadavg: 2.18 2.06 2.01 3/499 29095
/proc/meminfo: memFree=97052/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4911.94 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 491180 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255608 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4911.94
Current children cumulated vsize (KiB) 177504

[startup+4913.5 s]
/proc/loadavg: 2.17 2.06 2.01 3/499 29095
/proc/meminfo: memFree=96184/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4913.54 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 491340 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255537 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4913.54
Current children cumulated vsize (KiB) 177504

[startup+4915.1 s]
/proc/loadavg: 2.17 2.06 2.01 3/499 29095
/proc/meminfo: memFree=94844/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4915.14 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 491500 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256145 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4915.14
Current children cumulated vsize (KiB) 177504

[startup+4915.92 s]
/proc/loadavg: 2.17 2.06 2.01 3/499 29095
/proc/meminfo: memFree=94104/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4915.96 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 491582 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4256145 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4915.96
Current children cumulated vsize (KiB) 177504

[startup+4916.1 s]
/proc/loadavg: 2.17 2.06 2.01 3/499 29095
/proc/meminfo: memFree=94104/32950928 swapFree=34421304/67111528
[pid=28915] ppid=28913 vsize=177504 CPUtime=4916.14 cores=1,3,5,7
/proc/28915/stat : 28915 (minisat) R 28913 28915 27501 0 -1 4202496 99752 0 0 0 491600 14 0 0 25 0 1 0 880208112 181764096 41028 33554432000 4194304 4291235 140734728638400 18446744073709551615 4255634 0 0 4096 8388610 0 0 0 17 5 0 0 0
/proc/28915/statm: 44376 41028 258 24 0 41010 0
Current children cumulated CPU time (s) 4916.14
Current children cumulated vsize (KiB) 177504

Child status: 20
Real time (s): 4916.19
CPU time (s): 4916.24
CPU user time (s): 4916.09
CPU system time (s): 0.149977
CPU usage (%): 100.001
Max. virtual memory (cumulated for all children) (KiB): 226824

getrusage(RUSAGE_CHILDREN,...) data:
user time used= 4916.09
system time used= 0.149977
maximum resident set size= 0
integral shared memory size= 0
integral unshared data size= 0
integral unshared stack size= 0
page reclaims= 99767
page faults= 0
swaps= 0
block input operations= 0
block output operations= 0
messages sent= 0
messages received= 0
signals received= 0
voluntary context switches= 7
involuntary context switches= 44630

runsolver used 23.0485 second user time and 57.3913 second system time

The end

Launcher Data 

Begin job on node113 at 2011-06-01 05:42:54
IDJOB=3434129
IDBENCH=87988
IDSOLVER=1930
FILE ID=node113/3434129-1306899774
RUNJOBID= node113-1306899546-28701
PBS_JOBID= 13488463
Free space on /tmp= 30252 MiB

SOLVER NAME= minisat hack: MiniSAT 2.2.0-agile-26
BENCH NAME= SAT02/industrial/goldberg/rand_net/rand_net70-60-10.shuffled.cnf
COMMAND LINE= minisat BENCHNAME
RUNSOLVER COMMAND LINE= BIN/runsolver --timestamp -w /tmp/evaluation-result-3434129-1306899774/watcher-3434129-1306899774 -o /tmp/evaluation-result-3434129-1306899774/solver-3434129-1306899774 -C 5000 -W 5100 -M 15500  minisat HOME/instance-3434129-1306899774.cnf

TIME LIMIT= 5000 seconds
MEMORY LIMIT= 15500 MiB
NBCORE= 4

MD5SUM BENCH= 6ebe2de27b5534e626cb88c01abcf6c6
RANDOM SEED=1031333500

node113.alineos.net Linux 2.6.18-164.el5 #1 SMP Thu Sep 3 03:28:30 EDT 2009

/proc/cpuinfo:
processor	: 0
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 0
cpu cores	: 4
apicid		: 0
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5333.69
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 1
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 0
cpu cores	: 4
apicid		: 16
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.76
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 2
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 1
cpu cores	: 4
apicid		: 2
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.74
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 3
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 1
cpu cores	: 4
apicid		: 18
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 4
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 2
cpu cores	: 4
apicid		: 4
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.74
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 5
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 2
cpu cores	: 4
apicid		: 20
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.75
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 6
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 0
siblings	: 4
core id		: 3
cpu cores	: 4
apicid		: 6
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.83
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]

processor	: 7
vendor_id	: GenuineIntel
cpu family	: 6
model		: 26
model name	: Intel(R) Xeon(R) CPU           X5550  @ 2.67GHz
stepping	: 5
cpu MHz		: 2666.846
cache size	: 8192 KB
physical id	: 1
siblings	: 4
core id		: 3
cpu cores	: 4
apicid		: 22
fpu		: yes
fpu_exception	: yes
cpuid level	: 11
wp		: yes
flags		: fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm syscall nx rdtscp lm constant_tsc ida nonstop_tsc pni monitor ds_cpl vmx est tm2 cx16 xtpr popcnt lahf_lm
bogomips	: 5332.74
clflush size	: 64
cache_alignment	: 64
address sizes	: 40 bits physical, 48 bits virtual
power management: [8]


/proc/meminfo:
MemTotal:     32950928 kB
MemFree:       6343836 kB
Buffers:         86140 kB
Cached:       20647508 kB
SwapCached:      13252 kB
Active:       13532296 kB
Inactive:     12252776 kB
HighTotal:           0 kB
HighFree:            0 kB
LowTotal:     32950928 kB
LowFree:       6343836 kB
SwapTotal:    67111528 kB
SwapFree:     34421304 kB
Dirty:             348 kB
Writeback:           0 kB
AnonPages:     5050284 kB
Mapped:          21168 kB
Slab:           635380 kB
PageTables:     116256 kB
NFS_Unstable:        0 kB
Bounce:              0 kB
CommitLimit:  83586992 kB
Committed_AS: 154807544 kB
VmallocTotal: 34359738367 kB
VmallocUsed:    296008 kB
VmallocChunk: 34359440975 kB
HugePages_Total:     0
HugePages_Free:      0
HugePages_Rsvd:      0
Hugepagesize:     2048 kB

Free space on /tmp at the end= 30152 MiB
End job on node113 at 2011-06-01 07:04:51