About the Execution of ITS-Tools for RwMutex-PT-r0010w0500
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
15775.500 | 1026583.00 | 1121598.00 | 2828.50 | TTFTTFFFFTFTFFTF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fko/mcc2020-input.r156-oct2-158972913900273.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fko/mcc2020-input.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 2-4028
Executing tool itstools
Input is RwMutex-PT-r0010w0500, examination is LTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r156-oct2-158972913900273
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 1008K
-rw-r--r-- 1 mcc users 2.9K Apr 12 11:05 CTLCardinality.txt
-rw-r--r-- 1 mcc users 14K Apr 12 11:05 CTLCardinality.xml
-rw-r--r-- 1 mcc users 2.5K Apr 11 12:13 CTLFireability.txt
-rw-r--r-- 1 mcc users 17K Apr 11 12:13 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.0K Mar 24 05:38 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.1K Mar 24 05:38 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 3.3K Apr 14 12:50 LTLCardinality.txt
-rw-r--r-- 1 mcc users 24K Apr 28 14:02 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.0K Apr 14 12:50 LTLFireability.txt
-rw-r--r-- 1 mcc users 17K Apr 28 14:02 LTLFireability.xml
-rw-r--r-- 1 mcc users 3.5K Apr 10 16:38 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 17K Apr 10 16:38 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 2.6K Apr 9 23:04 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 14K Apr 9 23:04 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.7K Apr 10 22:28 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.7K Apr 10 22:28 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 Mar 24 05:38 equiv_col
-rw-r--r-- 1 mcc users 11 Mar 24 05:38 instance
-rw-r--r-- 1 mcc users 6 Mar 24 05:38 iscolored
-rw-r--r-- 1 mcc users 836K Mar 24 05:38 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 RwMutex-PT-r0010w0500-00
FORMULA_NAME RwMutex-PT-r0010w0500-01
FORMULA_NAME RwMutex-PT-r0010w0500-02
FORMULA_NAME RwMutex-PT-r0010w0500-03
FORMULA_NAME RwMutex-PT-r0010w0500-04
FORMULA_NAME RwMutex-PT-r0010w0500-05
FORMULA_NAME RwMutex-PT-r0010w0500-06
FORMULA_NAME RwMutex-PT-r0010w0500-07
FORMULA_NAME RwMutex-PT-r0010w0500-08
FORMULA_NAME RwMutex-PT-r0010w0500-09
FORMULA_NAME RwMutex-PT-r0010w0500-10
FORMULA_NAME RwMutex-PT-r0010w0500-11
FORMULA_NAME RwMutex-PT-r0010w0500-12
FORMULA_NAME RwMutex-PT-r0010w0500-13
FORMULA_NAME RwMutex-PT-r0010w0500-14
FORMULA_NAME RwMutex-PT-r0010w0500-15
=== Now, execution of the tool begins
BK_START 1589887728627
[2020-05-19 11:28:51] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLCardinality, -z3path, /home/mcc/BenchKit//z3/bin/z3, -yices2path, /home/mcc/BenchKit//yices/bin/yices, -its, -ltsminpath, /home/mcc/BenchKit//lts_install_dir/, -greatspnpath, /home/mcc/BenchKit//greatspn/, -order, META, -manyOrder, -smt, -timeout, 3600]
[2020-05-19 11:28:51] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2020-05-19 11:28:51] [INFO ] Load time of PNML (sax parser for PT used): 157 ms
[2020-05-19 11:28:51] [INFO ] Transformed 1030 places.
[2020-05-19 11:28:51] [INFO ] Transformed 1020 transitions.
[2020-05-19 11:28:51] [INFO ] Parsed PT model containing 1030 places and 1020 transitions in 220 ms.
Parsed 16 properties from file /home/mcc/execution/LTLCardinality.xml in 67 ms.
Working with output stream class java.io.PrintStream
Incomplete random walk after 100000 steps, including 0 resets, run finished after 3510 ms. (steps per millisecond=28 ) properties seen :[0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1]
// Phase 1: matrix 1020 rows 1030 cols
[2020-05-19 11:28:55] [INFO ] Computed 520 place invariants in 188 ms
[2020-05-19 11:28:55] [INFO ] [Real]Absence check using 520 positive place invariants in 26 ms returned unsat
[2020-05-19 11:28:56] [INFO ] [Real]Absence check using 520 positive place invariants in 45 ms returned unsat
[2020-05-19 11:28:56] [INFO ] [Real]Absence check using 520 positive place invariants in 634 ms returned unsat
[2020-05-19 11:28:57] [INFO ] [Real]Absence check using 520 positive place invariants in 45 ms returned unsat
[2020-05-19 11:28:57] [INFO ] [Real]Absence check using 520 positive place invariants in 78 ms returned unsat
[2020-05-19 11:28:57] [INFO ] [Real]Absence check using 520 positive place invariants in 184 ms returned unsat
[2020-05-19 11:28:57] [INFO ] [Real]Absence check using 520 positive place invariants in 84 ms returned unsat
[2020-05-19 11:28:58] [INFO ] [Real]Absence check using 520 positive place invariants in 493 ms returned unsat
[2020-05-19 11:28:58] [INFO ] [Real]Absence check using 520 positive place invariants in 319 ms returned unsat
[2020-05-19 11:28:59] [INFO ] [Real]Absence check using 520 positive place invariants in 298 ms returned unsat
[2020-05-19 11:28:59] [INFO ] [Real]Absence check using 520 positive place invariants in 217 ms returned unsat
[2020-05-19 11:29:00] [INFO ] [Real]Absence check using 520 positive place invariants in 1117 ms returned unsat
[2020-05-19 11:29:01] [INFO ] [Real]Absence check using 520 positive place invariants in 665 ms returned unsat
[2020-05-19 11:29:01] [INFO ] [Real]Absence check using 520 positive place invariants in 6 ms returned unsat
[2020-05-19 11:29:01] [INFO ] [Real]Absence check using 520 positive place invariants in 30 ms returned unsat
[2020-05-19 11:29:02] [INFO ] [Real]Absence check using 520 positive place invariants in 85 ms returned unsat
[2020-05-19 11:29:02] [INFO ] [Real]Absence check using 520 positive place invariants in 633 ms returned unsat
[2020-05-19 11:29:03] [INFO ] [Real]Absence check using 520 positive place invariants in 259 ms returned unsat
[2020-05-19 11:29:03] [INFO ] [Real]Absence check using 520 positive place invariants in 222 ms returned unsat
[2020-05-19 11:29:04] [INFO ] [Real]Absence check using 520 positive place invariants in 523 ms returned unsat
[2020-05-19 11:29:05] [INFO ] [Real]Absence check using 520 positive place invariants in 1009 ms returned unsat
[2020-05-19 11:29:06] [INFO ] [Real]Absence check using 520 positive place invariants in 940 ms returned unsat
Successfully simplified 22 atomic propositions for a total of 30 simplifications.
[2020-05-19 11:29:07] [INFO ] Initial state reduction rules for CTL removed 11 formulas.
[2020-05-19 11:29:07] [INFO ] Flatten gal took : 440 ms
FORMULA RwMutex-PT-r0010w0500-15 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-14 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-10 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-09 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-08 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-07 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-05 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-04 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-03 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-01 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA RwMutex-PT-r0010w0500-00 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2020-05-19 11:29:07] [INFO ] Flatten gal took : 208 ms
Using solver Z3 to compute partial order matrices.
Built C files in :
/home/mcc/execution
[2020-05-19 11:29:08] [INFO ] Applying decomposition
[2020-05-19 11:29:08] [INFO ] Input system was already deterministic with 1020 transitions.
[2020-05-19 11:29:08] [INFO ] Flatten gal took : 345 ms
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
Converted graph to binary with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202005100927/bin/convert-linux64, -i, /tmp/graph13119095003163549729.txt, -o, /tmp/graph13119095003163549729.bin, -w, /tmp/graph13119095003163549729.weights], workingDir=null]
// Phase 1: matrix 1020 rows 1030 cols
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202005100927/bin/louvain-linux64, /tmp/graph13119095003163549729.bin, -l, -1, -v, -w, /tmp/graph13119095003163549729.weights, -q, 0, -e, 0.001], workingDir=null]
[2020-05-19 11:29:08] [INFO ] Computed 520 place invariants in 70 ms
inv : p1025 + p505 = 1
inv : p475 + p995 = 1
inv : p100 + p620 = 1
inv : p593 + p73 = 1
inv : p439 + p959 = 1
inv : p466 + p986 = 1
inv : p17 + p537 = 1
inv : p299 + p819 = 1
inv : p389 + p909 = 1
inv : p398 + p918 = 1
inv : p30 + p550 = 1
inv : p57 + p577 = 1
inv : p2 + p512 = 1
inv : p376 + p896 = 1
inv : p181 + p701 = 1
inv : p448 + p968 = 1
inv : p457 + p977 = 1
inv : p108 + p628 = 1
inv : p126 + p646 = 1
inv : p618 + p98 = 1
inv : p587 + p67 = 1
inv : p303 + p823 = 1
inv : p1012 + p492 = 1
inv : p367 + p887 = 1
inv : p162 + p682 = 1
inv : p579 + p59 = 1
inv : p330 + p850 = 1
inv : p207 + p727 = 1
inv : p411 + p931 = 1
inv : p222 + p742 = 1
inv : p268 + p788 = 1
inv : p225 + p745 = 1
inv : p204 + p724 = 1
inv : p280 + p800 = 1
inv : p144 + p664 = 1
inv : p349 + p869 = 1
inv : p585 + p65 = 1
inv : p616 + p96 = 1
inv : p169 + p689 = 1
inv : p1015 + p495 = 1
inv : p1006 + p486 = 1
inv : p315 + p835 = 1
inv : p132 + p652 = 1
inv : p3 + p513 = 1
inv : p342 + p862 = 1
inv : p306 + p826 = 1
inv : p519 + p9 = 1
inv : p379 + p899 = 1
inv : p14 + p534 = 1
inv : p231 + p751 = 1
inv : p243 + p763 = 1
inv : p252 + p772 = 1
inv : p592 + p72 = 1
inv : p29 + p549 = 1
inv : p45 + p565 = 1
inv : p105 + p625 = 1
inv : p184 + p704 = 1
inv : p321 + p841 = 1
inv : p117 + p637 = 1
inv : p153 + p673 = 1
inv : p469 + p989 = 1
inv : p358 + p878 = 1
inv : p591 + p71 = 1
inv : p405 + p925 = 1
inv : p190 + p710 = 1
inv : p463 + p983 = 1
inv : p259 + p779 = 1
inv : p441 + p961 = 1
inv : p395 + p915 = 1
inv : p586 + p66 = 1
inv : p42 + p562 = 1
inv : p420 + p940 = 1
inv : p617 + p97 = 1
inv : p216 + p736 = 1
inv : p364 + p884 = 1
inv : p355 + p875 = 1
inv : p346 + p866 = 1
inv : p110 + p630 = 1
inv : p589 + p69 = 1
inv : p138 + p658 = 1
inv : p129 + p649 = 1
inv : p427 + p947 = 1
inv : p174 + p694 = 1
inv : p615 + p95 = 1
inv : p382 + p902 = 1
inv : p300 + p820 = 1
inv : p391 + p911 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p513 + p523 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p238 + p758 = 1
inv : p246 + p766 = 1
inv : p614 + p94 = 1
inv : p450 + p970 = 1
inv : p296 + p816 = 1
inv : p1022 + p502 = 1
inv : p157 + p677 = 1
inv : p309 + p829 = 1
inv : p372 + p892 = 1
inv : p472 + p992 = 1
inv : p24 + p544 = 1
inv : p608 + p88 = 1
inv : p409 + p929 = 1
inv : p595 + p75 = 1
inv : p141 + p661 = 1
inv : p150 + p670 = 1
inv : p435 + p955 = 1
inv : p444 + p964 = 1
inv : p261 + p781 = 1
inv : p333 + p853 = 1
inv : p594 + p74 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p512 + p522 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p270 + p790 = 1
inv : p293 + p813 = 1
inv : p318 + p838 = 1
inv : p193 + p713 = 1
inv : p33 + p553 = 1
inv : p433 + p953 = 1
inv : p187 + p707 = 1
inv : p324 + p844 = 1
inv : p166 + p686 = 1
inv : p1003 + p483 = 1
inv : p255 + p775 = 1
inv : p135 + p655 = 1
inv : p229 + p749 = 1
inv : p287 + p807 = 1
inv : p113 + p633 = 1
inv : p402 + p922 = 1
inv : p588 + p68 = 1
inv : p54 + p574 = 1
inv : p1019 + p499 = 1
inv : p418 + p938 = 1
inv : p609 + p89 = 1
inv : p277 + p797 = 1
inv : p213 + p733 = 1
inv : p23 + p543 = 1
inv : p1029 + p509 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p520 + p530 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p203 + p723 = 1
inv : p221 + p741 = 1
inv : p172 + p692 = 1
inv : p253 + p773 = 1
inv : p1002 + p482 = 1
inv : p244 + p764 = 1
inv : p177 + p697 = 1
inv : p212 + p732 = 1
inv : p145 + p665 = 1
inv : p320 + p840 = 1
inv : p1011 + p491 = 1
inv : p154 + p674 = 1
inv : p598 + p78 = 1
inv : p339 + p859 = 1
inv : p370 + p890 = 1
inv : p163 + p683 = 1
inv : p199 + p719 = 1
inv : p399 + p919 = 1
inv : p424 + p944 = 1
inv : p104 + p624 = 1
inv : p357 + p877 = 1
inv : p456 + p976 = 1
inv : p380 + p900 = 1
inv : p180 + p700 = 1
inv : p311 + p831 = 1
inv : p136 + p656 = 1
inv : p118 + p638 = 1
inv : p438 + p958 = 1
inv : p262 + p782 = 1
inv : p406 + p926 = 1
inv : p230 + p750 = 1
inv : p430 + p950 = 1
inv : p421 + p941 = 1
inv : p383 + p903 = 1
inv : p453 + p973 = 1
inv : p597 + p77 = 1
inv : p474 + p994 = 1
inv : p111 + p631 = 1
inv : p1030 + p510 = 1
inv : p336 + p856 = 1
inv : p462 + p982 = 1
inv : p290 + p810 = 1
inv : p196 + p716 = 1
inv : p1021 + p501 = 1
inv : p327 + p847 = 1
inv : p18 + p538 = 1
inv : p206 + p726 = 1
inv : p415 + p935 = 1
inv : p269 + p789 = 1
inv : p148 + p668 = 1
inv : p200 + p720 = 1
inv : p348 + p868 = 1
inv : p237 + p757 = 1
inv : p56 + p576 = 1
inv : p274 + p794 = 1
inv : p284 + p804 = 1
inv : p447 + p967 = 1
inv : p1005 + p485 = 1
inv : p596 + p76 = 1
inv : p363 + p883 = 1
inv : p127 + p647 = 1
inv : p305 + p825 = 1
inv : p183 + p703 = 1
inv : p373 + p893 = 1
inv : p192 + p712 = 1
inv : p41 + p561 = 1
inv : p332 + p852 = 1
inv : p48 + p568 = 1
inv : p142 + p662 = 1
inv : p21 + p541 = 1
inv : p323 + p843 = 1
inv : p51 + p571 = 1
inv : p160 + p680 = 1
inv : p247 + p767 = 1
inv : p16 + p536 = 1
inv : p28 + p548 = 1
inv : p31 + p551 = 1
inv : p288 + p808 = 1
inv : p151 + p671 = 1
inv : p46 + p566 = 1
inv : p297 + p817 = 1
inv : p1009 + p489 = 1
inv : p1028 + p508 = 1
inv : p478 + p998 = 1
inv : p278 + p798 = 1
inv : p26 + p546 = 1
inv : p440 + p960 = 1
inv : p38 + p558 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p521 + p531 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p120 + p640 = 1
inv : p459 + p979 = 1
inv : p265 + p785 = 1
inv : p354 + p874 = 1
inv : p36 + p556 = 1
inv : p314 + p834 = 1
inv : p139 + p659 = 1
inv : p228 + p748 = 1
inv : p351 + p871 = 1
inv : p4 + p514 = 1
inv : p103 + p623 = 1
inv : p403 + p923 = 1
inv : p281 + p801 = 1
inv : p114 + p634 = 1
inv : p392 + p912 = 1
inv : p517 + p7 = 1
inv : p412 + p932 = 1
inv : p301 + p821 = 1
inv : p123 + p643 = 1
inv : p234 + p754 = 1
inv : p345 + p865 = 1
inv : p240 + p760 = 1
inv : p619 + p99 = 1
inv : p465 + p985 = 1
inv : p386 + p906 = 1
inv : p419 + p939 = 1
inv : p471 + p991 = 1
inv : p599 + p79 = 1
inv : p428 + p948 = 1
inv : p1018 + p498 = 1
inv : p308 + p828 = 1
inv : p167 + p687 = 1
inv : p256 + p776 = 1
inv : p360 + p880 = 1
inv : p271 + p791 = 1
inv : p219 + p739 = 1
inv : p294 + p814 = 1
inv : p1020 + p500 = 1
inv : p600 + p80 = 1
inv : p461 + p981 = 1
inv : p443 + p963 = 1
inv : p470 + p990 = 1
inv : p434 + p954 = 1
inv : p407 + p927 = 1
inv : p416 + p936 = 1
inv : p425 + p945 = 1
inv : p10 + p520 = 1
inv : p353 + p873 = 1
inv : p285 + p805 = 1
inv : p22 + p542 = 1
inv : p130 + p650 = 1
inv : p335 + p855 = 1
inv : p317 + p837 = 1
inv : p158 + p678 = 1
inv : p1017 + p497 = 1
inv : p362 + p882 = 1
inv : p393 + p913 = 1
inv : p601 + p81 = 1
inv : p254 + p774 = 1
inv : p236 + p756 = 1
inv : p186 + p706 = 1
inv : p257 + p777 = 1
inv : p176 + p696 = 1
inv : p173 + p693 = 1
inv : p112 + p632 = 1
inv : p164 + p684 = 1
inv : p310 + p830 = 1
inv : p275 + p795 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p517 + p527 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p128 + p648 = 1
inv : p338 + p858 = 1
inv : p227 + p747 = 1
inv : p220 + p740 = 1
inv : p211 + p731 = 1
inv : p347 + p867 = 1
inv : p137 + p657 = 1
inv : p149 + p669 = 1
inv : p121 + p641 = 1
inv : p326 + p846 = 1
inv : p473 + p993 = 1
inv : p437 + p957 = 1
inv : p49 + p569 = 1
inv : p602 + p82 = 1
inv : p25 + p545 = 1
inv : p468 + p988 = 1
inv : p263 + p783 = 1
inv : p195 + p715 = 1
inv : p374 + p894 = 1
inv : p384 + p904 = 1
inv : p431 + p951 = 1
inv : p248 + p768 = 1
inv : p452 + p972 = 1
inv : p1010 + p490 = 1
inv : p369 + p889 = 1
inv : p350 + p870 = 1
inv : p133 + p653 = 1
inv : p1014 + p494 = 1
inv : p279 + p799 = 1
inv : p282 + p802 = 1
inv : p422 + p942 = 1
inv : p404 + p924 = 1
inv : p101 + p621 = 1
inv : p477 + p997 = 1
inv : p413 + p933 = 1
inv : p341 + p861 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p519 + p529 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p53 + p573 = 1
inv : p446 + p966 = 1
inv : p464 + p984 = 1
inv : p1027 + p507 = 1
inv : p304 + p824 = 1
inv : p291 + p811 = 1
inv : p152 + p672 = 1
inv : p215 + p735 = 1
inv : p43 + p563 = 1
inv : p241 + p761 = 1
inv : p189 + p709 = 1
inv : p107 + p627 = 1
inv : p179 + p699 = 1
inv : p322 + p842 = 1
inv : p400 + p920 = 1
inv : p233 + p753 = 1
inv : p396 + p916 = 1
inv : p170 + p690 = 1
inv : p115 + p635 = 1
inv : p191 + p711 = 1
inv : p155 + p675 = 1
inv : p34 + p554 = 1
inv : p146 + p666 = 1
inv : p44 + p564 = 1
inv : p329 + p849 = 1
inv : p1001 + p481 = 1
inv : p377 + p897 = 1
inv : p13 + p533 = 1
inv : p449 + p969 = 1
inv : p266 + p786 = 1
inv : p1024 + p504 = 1
inv : p202 + p722 = 1
inv : p272 + p792 = 1
inv : p218 + p738 = 1
inv : p209 + p729 = 1
inv : p455 + p975 = 1
inv : p344 + p864 = 1
inv : p250 + p770 = 1
inv : p429 + p949 = 1
inv : p313 + p833 = 1
inv : p224 + p744 = 1
inv : p109 + p629 = 1
inv : p302 + p822 = 1
inv : p298 + p818 = 1
inv : p198 + p718 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p518 + p528 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p387 + p907 = 1
inv : p182 + p702 = 1
inv : p124 + p644 = 1
inv : p161 + p681 = 1
inv : p366 + p886 = 1
inv : p1008 + p488 = 1
inv : p226 + p746 = 1
inv : p235 + p755 = 1
inv : p5 + p515 = 1
inv : p581 + p61 = 1
inv : p208 + p728 = 1
inv : p217 + p737 = 1
inv : p27 + p547 = 1
inv : p258 + p778 = 1
inv : p20 + p540 = 1
inv : p249 + p769 = 1
inv : p1007 + p487 = 1
inv : p612 + p92 = 1
inv : p140 + p660 = 1
inv : p307 + p827 = 1
inv : p131 + p651 = 1
inv : p47 + p567 = 1
inv : p276 + p796 = 1
inv : p267 + p787 = 1
inv : p32 + p552 = 1
inv : p11 + p521 = 1
inv : p122 + p642 = 1
inv : p605 + p85 = 1
inv : p15 + p535 = 1
inv : p375 + p895 = 1
inv : p194 + p714 = 1
inv : p361 + p881 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p514 + p524 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p12 + p532 = 1
inv : p606 + p86 = 1
inv : p385 + p905 = 1
inv : p289 + p809 = 1
inv : p611 + p91 = 1
inv : p325 + p845 = 1
inv : p168 + p688 = 1
inv : p19 + p539 = 1
inv : p343 + p863 = 1
inv : p467 + p987 = 1
inv : p580 + p60 = 1
inv : p426 + p946 = 1
inv : p458 + p978 = 1
inv : p55 + p575 = 1
inv : p607 + p87 = 1
inv : p1 + p511 = 1
inv : p102 + p622 = 1
inv : p582 + p62 = 1
inv : p359 + p879 = 1
inv : p451 + p971 = 1
inv : p613 + p93 = 1
inv : p442 + p962 = 1
inv : p368 + p888 = 1
inv : p264 + p784 = 1
inv : p410 + p930 = 1
inv : p175 + p695 = 1
inv : p394 + p914 = 1
inv : p232 + p752 = 1
inv : p210 + p730 = 1
inv : p143 + p663 = 1
inv : p185 + p705 = 1
inv : p39 + p559 = 1
inv : p205 + p725 = 1
inv : p116 + p636 = 1
inv : p316 + p836 = 1
inv : p352 + p872 = 1
inv : p331 + p851 = 1
inv : p479 + p999 = 1
inv : p35 + p555 = 1
inv : p1026 + p506 = 1
inv : p52 + p572 = 1
inv : p1016 + p496 = 1
inv : p242 + p762 = 1
inv : p159 + p679 = 1
inv : p295 + p815 = 1
inv : p106 + p626 = 1
inv : p337 + p857 = 1
inv : p197 + p717 = 1
inv : p319 + p839 = 1
inv : p328 + p848 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p516 + p526 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p590 + p70 = 1
inv : p603 + p83 = 1
inv : p188 + p708 = 1
inv : p584 + p64 = 1
inv : p445 + p965 = 1
inv : p436 + p956 = 1
inv : p1000 + p480 = 1
inv : p260 + p780 = 1
inv : p454 + p974 = 1
inv : p214 + p734 = 1
inv : p223 + p743 = 1
inv : p283 + p803 = 1
inv : p432 + p952 = 1
inv : p414 + p934 = 1
inv : p1004 + p484 = 1
inv : p251 + p771 = 1
inv : p273 + p793 = 1
inv : p340 + p860 = 1
inv : p165 + p685 = 1
inv : p147 + p667 = 1
inv : p390 + p910 = 1
inv : p378 + p898 = 1
inv : p518 + p8 = 1
inv : p201 + p721 = 1
inv : p417 + p937 = 1
inv : p408 + p928 = 1
inv : p397 + p917 = 1
inv : p604 + p84 = 1
inv : p119 + p639 = 1
inv : p286 + p806 = 1
inv : p239 + p759 = 1
inv : p388 + p908 = 1
inv : p125 + p645 = 1
inv : p365 + p885 = 1
inv : p178 + p698 = 1
inv : p134 + p654 = 1
inv : p516 + p6 = 1
inv : p312 + p832 = 1
inv : p356 + p876 = 1
inv : p583 + p63 = 1
inv : p401 + p921 = 1
inv : p50 + p570 = 1
inv : p1023 + p503 = 1
inv : p171 + p691 = 1
inv : p371 + p891 = 1
inv : p245 + p765 = 1
inv : p460 + p980 = 1
inv : p476 + p996 = 1
inv : p381 + p901 = 1
inv : p1 + p1000 + p1001 + p1002 + p1003 + p1004 + p1005 + p1006 + p1007 + p1008 + p1009 + p1010 + p1011 + p1012 + p1013 + p1014 + p1015 + p1016 + p1017 + p1018 + p1019 + p1020 + p1021 + p1022 + p1023 + p1024 + p1025 + p1026 + p1027 + p1028 + p1029 + p1030 + p515 + p525 + p532 + p533 + p534 + p535 + p536 + p537 + p538 + p539 + p540 + p541 + p542 + p543 + p544 + p545 + p546 + p547 + p548 + p549 + p550 + p551 + p552 + p553 + p554 + p555 + p556 + p557 + p558 + p559 + p560 + p561 + p562 + p563 + p564 + p565 + p566 + p567 + p568 + p569 + p570 + p571 + p572 + p573 + p574 + p575 + p576 + p577 + p578 + p579 + p580 + p581 + p582 + p583 + p584 + p585 + p586 + p587 + p588 + p589 + p590 + p591 + p592 + p593 + p594 + p595 + p596 + p597 + p598 + p599 + p600 + p601 + p602 + p603 + p604 + p605 + p606 + p607 + p608 + p609 + p610 + p611 + p612 + p613 + p614 + p615 + p616 + p617 + p618 + p619 + p620 + p621 + p622 + p623 + p624 + p625 + p626 + p627 + p628 + p629 + p630 + p631 + p632 + p633 + p634 + p635 + p636 + p637 + p638 + p639 + p640 + p641 + p642 + p643 + p644 + p645 + p646 + p647 + p648 + p649 + p650 + p651 + p652 + p653 + p654 + p655 + p656 + p657 + p658 + p659 + p660 + p661 + p662 + p663 + p664 + p665 + p666 + p667 + p668 + p669 + p670 + p671 + p672 + p673 + p674 + p675 + p676 + p677 + p678 + p679 + p680 + p681 + p682 + p683 + p684 + p685 + p686 + p687 + p688 + p689 + p690 + p691 + p692 + p693 + p694 + p695 + p696 + p697 + p698 + p699 + p700 + p701 + p702 + p703 + p704 + p705 + p706 + p707 + p708 + p709 + p710 + p711 + p712 + p713 + p714 + p715 + p716 + p717 + p718 + p719 + p720 + p721 + p722 + p723 + p724 + p725 + p726 + p727 + p728 + p729 + p730 + p731 + p732 + p733 + p734 + p735 + p736 + p737 + p738 + p739 + p740 + p741 + p742 + p743 + p744 + p745 + p746 + p747 + p748 + p749 + p750 + p751 + p752 + p753 + p754 + p755 + p756 + p757 + p758 + p759 + p760 + p761 + p762 + p763 + p764 + p765 + p766 + p767 + p768 + p769 + p770 + p771 + p772 + p773 + p774 + p775 + p776 + p777 + p778 + p779 + p780 + p781 + p782 + p783 + p784 + p785 + p786 + p787 + p788 + p789 + p790 + p791 + p792 + p793 + p794 + p795 + p796 + p797 + p798 + p799 + p800 + p801 + p802 + p803 + p804 + p805 + p806 + p807 + p808 + p809 + p810 + p811 + p812 + p813 + p814 + p815 + p816 + p817 + p818 + p819 + p820 + p821 + p822 + p823 + p824 + p825 + p826 + p827 + p828 + p829 + p830 + p831 + p832 + p833 + p834 + p835 + p836 + p837 + p838 + p839 + p840 + p841 + p842 + p843 + p844 + p845 + p846 + p847 + p848 + p849 + p850 + p851 + p852 + p853 + p854 + p855 + p856 + p857 + p858 + p859 + p860 + p861 + p862 + p863 + p864 + p865 + p866 + p867 + p868 + p869 + p870 + p871 + p872 + p873 + p874 + p875 + p876 + p877 + p878 + p879 + p880 + p881 + p882 + p883 + p884 + p885 + p886 + p887 + p888 + p889 + p890 + p891 + p892 + p893 + p894 + p895 + p896 + p897 + p898 + p899 + p900 + p901 + p902 + p903 + p904 + p905 + p906 + p907 + p908 + p909 + p910 + p911 + p912 + p913 + p914 + p915 + p916 + p917 + p918 + p919 + p920 + p921 + p922 + p923 + p924 + p925 + p926 + p927 + p928 + p929 + p930 + p931 + p932 + p933 + p934 + p935 + p936 + p937 + p938 + p939 + p940 + p941 + p942 + p943 + p944 + p945 + p946 + p947 + p948 + p949 + p950 + p951 + p952 + p953 + p954 + p955 + p956 + p957 + p958 + p959 + p960 + p961 + p962 + p963 + p964 + p965 + p966 + p967 + p968 + p969 + p970 + p971 + p972 + p973 + p974 + p975 + p976 + p977 + p978 + p979 + p980 + p981 + p982 + p983 + p984 + p985 + p986 + p987 + p988 + p989 + p990 + p991 + p992 + p993 + p994 + p995 + p996 + p997 + p998 + p999 = 1
inv : p423 + p943 = 1
inv : p578 + p58 = 1
inv : p1013 + p493 = 1
inv : p292 + p812 = 1
inv : p37 + p557 = 1
inv : p610 + p90 = 1
inv : p156 + p676 = 1
inv : p40 + p560 = 1
inv : p334 + p854 = 1
Total of 520 invariants.
[2020-05-19 11:29:09] [INFO ] Computed 520 place invariants in 102 ms
[2020-05-19 11:29:09] [INFO ] Decomposing Gal with order
[2020-05-19 11:29:09] [INFO ] Rewriting arrays to variables to allow decomposition.
[2020-05-19 11:29:09] [INFO ] Removed a total of 9976 redundant transitions.
[2020-05-19 11:29:09] [INFO ] Flatten gal took : 580 ms
[2020-05-19 11:29:10] [INFO ] Fuse similar labels procedure discarded/fused a total of 16 labels/synchronizations in 205 ms.
[2020-05-19 11:29:10] [INFO ] Time to serialize gal into /home/mcc/execution/LTLCardinality.pnml.gal : 28 ms
[2020-05-19 11:29:10] [INFO ] Time to serialize properties into /home/mcc/execution/LTLCardinality.ltl : 1 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202005100927/bin/its-ltl-linux64, --gc-threshold, 2000000, -i, /home/mcc/execution/LTLCardinality.pnml.gal, -t, CGAL, -LTL, /home/mcc/execution/LTLCardinality.ltl, -c, -stutter-deadlock, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-ltl command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202005100927/bin/its-ltl-linux64 --gc-threshold 2000000 -i /home/mcc/execution/LTLCardinality.pnml.gal -t CGAL -LTL /home/mcc/execution/LTLCardinality.ltl -c -stutter-deadlock --gen-order FOLLOW
Read 5 LTL properties
Checking formula 0 : !((G(("(gi2.gu501.p996>=1)")U(((("(gu442.p1<=gu442.p897)")U("(gi2.gu501.p996>=1)"))U(G("(gu70.p189<=gu70.p836)")))||("(gu7.p101<=gu7.p887)")))))
Formula 0 simplified : !G("(gi2.gu501.p996>=1)" U ("(gu7.p101<=gu7.p887)" | (("(gu442.p1<=gu442.p897)" U "(gi2.gu501.p996>=1)") U G"(gu70.p189<=gu70.p836)")))
[2020-05-19 11:29:12] [WARNING] SMT solver unexpectedly returned 'unknown' answer, retrying.
[2020-05-19 11:29:13] [WARNING] SMT solver unexpectedly returned 'unknown' answer, retrying.
Skipping mayMatrices nes/nds SMT solver raised an error :unknown
java.lang.RuntimeException: SMT solver raised an error :unknown
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:320)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:307)
at fr.lip6.move.gal.gal2smt.bmc.KInductionSolver.init(KInductionSolver.java:116)
at fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver.init(NecessaryEnablingsolver.java:71)
at fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext.printLabels(Gal2PinsTransformerNext.java:471)
at fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext.printDependencyMatrix(Gal2PinsTransformerNext.java:209)
at fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext.buildBodyFile(Gal2PinsTransformerNext.java:85)
at fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext.transform(Gal2PinsTransformerNext.java:831)
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:73)
at java.base/java.lang.Thread.run(Thread.java:834)
[2020-05-19 11:29:14] [INFO ] Built C files in 6761ms conformant to PINS in folder :/home/mcc/execution
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit//lts_install_dir//include, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/home/mcc/execution]
Compilation finished in 21278 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 123 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, --ltl, [](((LTLAP0==true))U(( (((LTLAP1==true))U((LTLAP0==true)))U([]((LTLAP2==true)))) || ( (LTLAP3==true)) )), --buchi-type=spotba], workingDir=/home/mcc/execution]
/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc: error while loading shared libraries: libltdl.so.7: cannot open shared object file: No such file or directory
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, --ltl, [](((LTLAP0==true))U(( (((LTLAP1==true))U((LTLAP0==true)))U([]((LTLAP2==true)))) || ( (LTLAP3==true)) )), --buchi-type=spotba], workingDir=/home/mcc/execution]
127
java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, --ltl, [](((LTLAP0==true))U(( (((LTLAP1==true))U((LTLAP0==true)))U([]((LTLAP2==true)))) || ( (LTLAP3==true)) )), --buchi-type=spotba], workingDir=/home/mcc/execution]
127
at fr.lip6.move.gal.application.LTSminRunner.checkProperty(LTSminRunner.java:170)
at fr.lip6.move.gal.application.LTSminRunner.access$10(LTSminRunner.java:124)
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:93)
at java.base/java.lang.Thread.run(Thread.java:834)
Reverse transition relation is exact ! Faster fixpoint algorithm enabled.
4 unique states visited
4 strongly connected components in search stack
4 transitions explored
4 items max in DFS search stack
77704 ticks for the emptiness check
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
STATS,0,777.25,15583608,1,0,27,6.76638e+07,67,10,19761,1.84034e+06,88
an accepting run exists (use option '-e' to print it)
Formula 0 is FALSE accepting run found.
FORMULA RwMutex-PT-r0010w0500-02 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Checking formula 1 : !((!(G(F(X("(gi2.gu490.p463<1)"))))))
Formula 1 simplified : GFX"(gi2.gu490.p463<1)"
2 unique states visited
1 strongly connected components in search stack
3 transitions explored
2 items max in DFS search stack
13406 ticks for the emptiness check
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
STATS,0,911.309,15586084,1,0,28,6.76638e+07,73,11,26351,1.84034e+06,98
an accepting run exists (use option '-e' to print it)
Formula 1 is FALSE accepting run found.
FORMULA RwMutex-PT-r0010w0500-06 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Checking formula 2 : !((F(X("(gu365.p756<=gu365.p752)"))))
Formula 2 simplified : !FX"(gu365.p756<=gu365.p752)"
2 unique states visited
0 strongly connected components in search stack
1 transitions explored
2 items max in DFS search stack
6 ticks for the emptiness check
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
STATS,0,911.369,15586280,1,0,29,6.76638e+07,82,11,26355,1.84034e+06,109
no accepting run found
Formula 2 is TRUE no accepting run found.
FORMULA RwMutex-PT-r0010w0500-11 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Checking formula 3 : !((F(G((!(F(!(G("(gu314.p656>gu314.p852)")))))U((F(G("(gu314.p656<=gu314.p852)")))&&(X("(gu314.p656<=gu314.p852)")))))))
Formula 3 simplified : !FG(!F!G"(gu314.p656>gu314.p852)" U (FG"(gu314.p656<=gu314.p852)" & X"(gu314.p656<=gu314.p852)"))
4 unique states visited
4 strongly connected components in search stack
5 transitions explored
4 items max in DFS search stack
197 ticks for the emptiness check
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
STATS,0,913.354,15586928,1,0,41,6.76638e+07,102,21,26368,1.84034e+06,200
an accepting run exists (use option '-e' to print it)
Formula 3 is FALSE accepting run found.
FORMULA RwMutex-PT-r0010w0500-12 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Checking formula 4 : !((F("(gu306.p645>gu306.p874)")))
Formula 4 simplified : !F"(gu306.p645>gu306.p874)"
2 unique states visited
2 strongly connected components in search stack
2 transitions explored
2 items max in DFS search stack
73 ticks for the emptiness check
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
STATS,0,914.097,15586928,1,0,51,6.76638e+07,111,21,26374,1.84034e+06,257
an accepting run exists (use option '-e' to print it)
Formula 4 is FALSE accepting run found.
FORMULA RwMutex-PT-r0010w0500-13 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
BK_STOP 1589888755210
--------------------
content from stderr:
+ export BINDIR=/home/mcc/BenchKit/
+ BINDIR=/home/mcc/BenchKit/
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ LTLCardinality = StateSpace ]]
+ /home/mcc/BenchKit//runeclipse.sh /home/mcc/execution LTLCardinality -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -greatspnpath /home/mcc/BenchKit//greatspn/ -order META -manyOrder -smt -timeout 3600
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ /home/mcc/BenchKit//itstools/its-tools -data /home/mcc/execution/workspace -pnfolder /home/mcc/execution -examination LTLCardinality -z3path /home/mcc/BenchKit//z3/bin/z3 -yices2path /home/mcc/BenchKit//yices/bin/yices -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -greatspnpath /home/mcc/BenchKit//greatspn/ -order META -manyOrder -smt -timeout 3600 -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss128m -Xms40m -Xmx16000m -Dfile.encoding=UTF-8 -Dosgi.requiredJavaVersion=1.6
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="RwMutex-PT-r0010w0500"
export BK_EXAMINATION="LTLCardinality"
export BK_TOOL="itstools"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"
# 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 2-4028"
echo " Executing tool itstools"
echo " Input is RwMutex-PT-r0010w0500, examination is LTLCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r156-oct2-158972913900273"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/RwMutex-PT-r0010w0500.tgz
mv RwMutex-PT-r0010w0500 execution
cd execution
if [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "UpperBounds" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] || [ "LTLCardinality" = "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 [ "LTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLCardinality" != "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 "LTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLCardinality.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 [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME LTLCardinality"
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 ;