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.r227-oct2-159033546600394.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)
..............................................................................................................................................................................
=====================================================================
Generated by BenchKit 2-4028
Executing tool itstools
Input is Sudoku-PT-AN11, examination is LTLFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r227-oct2-159033546600394
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 9.8M
-rw-r--r-- 1 mcc users 2.9K May 14 04:01 CTLCardinality.txt
-rw-r--r-- 1 mcc users 13K May 14 04:01 CTLCardinality.xml
-rw-r--r-- 1 mcc users 553K May 13 21:38 CTLFireability.txt
-rw-r--r-- 1 mcc users 2.0M May 13 21:38 CTLFireability.xml
-rw-r--r-- 1 mcc users 343K May 14 10:06 LTLCardinality.txt
-rw-r--r-- 1 mcc users 1.2M May 14 10:06 LTLCardinality.xml
-rw-r--r-- 1 mcc users 637K May 14 10:06 LTLFireability.txt
-rw-r--r-- 1 mcc users 2.2M May 14 10:06 LTLFireability.xml
-rw-r--r-- 1 mcc users 1 May 12 20:42 NewModel
-rw-r--r-- 1 mcc users 3.7K May 13 15:07 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 17K May 13 15:07 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 511K May 13 10:30 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 1.8M May 13 10:30 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.6K May 13 16:53 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.3K May 13 16:53 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 May 12 20:42 equiv_col
-rw-r--r-- 1 mcc users 5 May 12 20:42 instance
-rw-r--r-- 1 mcc users 6 May 12 20:42 iscolored
-rw-r--r-- 1 mcc users 694K May 12 20:42 model.pnml

--------------------
content from stdout:

=== Data for post analysis generated by BenchKit (invocation template)

The expected result is a vector of booleans
BOOL_VECTOR

here is the order used to build the result vector(from text file)
FORMULA_NAME Sudoku-PT-AN11-00
FORMULA_NAME Sudoku-PT-AN11-01
FORMULA_NAME Sudoku-PT-AN11-02
FORMULA_NAME Sudoku-PT-AN11-03
FORMULA_NAME Sudoku-PT-AN11-04
FORMULA_NAME Sudoku-PT-AN11-05
FORMULA_NAME Sudoku-PT-AN11-06
FORMULA_NAME Sudoku-PT-AN11-07
FORMULA_NAME Sudoku-PT-AN11-08
FORMULA_NAME Sudoku-PT-AN11-09
FORMULA_NAME Sudoku-PT-AN11-10
FORMULA_NAME Sudoku-PT-AN11-11
FORMULA_NAME Sudoku-PT-AN11-12
FORMULA_NAME Sudoku-PT-AN11-13
FORMULA_NAME Sudoku-PT-AN11-14
FORMULA_NAME Sudoku-PT-AN11-15

=== Now, execution of the tool begins

BK_START 1590491492566

[2020-05-26 11:11:34] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLFireability, -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]
[2020-05-26 11:11:34] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2020-05-26 11:11:35] [INFO ] Load time of PNML (sax parser for PT used): 186 ms
[2020-05-26 11:11:35] [INFO ] Transformed 1694 places.
[2020-05-26 11:11:35] [INFO ] Transformed 1331 transitions.
[2020-05-26 11:11:35] [INFO ] Parsed PT model containing 1694 places and 1331 transitions in 271 ms.
Parsed 16 properties from file /home/mcc/execution/LTLFireability.xml in 831 ms.
Working with output stream class java.io.PrintStream
Incomplete random walk after 100000 steps, including 946 resets, run finished after 6726 ms. (steps per millisecond=14 ) properties seen :[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]
// Phase 1: matrix 1331 rows 1694 cols
[2020-05-26 11:11:43] [INFO ] Computed 363 place invariants in 36 ms
[2020-05-26 11:11:44] [INFO ] [Real]Absence check using 363 positive place invariants in 726 ms returned unsat
Successfully simplified 1 atomic propositions for a total of 1 simplifications.
[2020-05-26 11:11:47] [INFO ] Initial state reduction rules for CTL removed 5 formulas.
[2020-05-26 11:11:47] [INFO ] Flatten gal took : 1087 ms
FORMULA Sudoku-PT-AN11-14 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-PT-AN11-11 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-PT-AN11-07 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-PT-AN11-04 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-PT-AN11-00 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2020-05-26 11:11:47] [INFO ] Flatten gal took : 262 ms
Using solver Z3 to compute partial order matrices.
Built C files in :
/home/mcc/execution
[2020-05-26 11:11:48] [INFO ] Applying decomposition
[2020-05-26 11:11:48] [INFO ] Input system was already deterministic with 1331 transitions.
[2020-05-26 11:11:48] [INFO ] Flatten gal took : 530 ms
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 1331 rows 1694 cols
[2020-05-26 11:11:49] [INFO ] Computed 363 place invariants in 15 ms
inv : Board_7_8_0 + Board_7_8_1 + Board_7_8_2 + Board_7_8_3 + Board_7_8_4 + Board_7_8_5 + Board_7_8_6 + Board_7_8_7 + Board_7_8_8 + Board_7_8_9 + Board_7_8_10 + Cells_7_8 = 1
inv : Board_0_8_0 + Board_0_8_1 + Board_0_8_2 + Board_0_8_3 + Board_0_8_4 + Board_0_8_5 + Board_0_8_6 + Board_0_8_7 + Board_0_8_8 + Board_0_8_9 + Board_0_8_10 + Cells_0_8 = 1
inv : Board_0_7_8 + Board_1_7_8 + Board_2_7_8 + Board_3_7_8 + Board_4_7_8 + Board_5_7_8 + Board_6_7_8 + Board_7_7_8 + Board_8_7_8 + Board_9_7_8 + Board_10_7_8 + Columns_7_8 = 1
inv : Board_0_4_4 + Board_1_4_4 + Board_2_4_4 + Board_3_4_4 + Board_4_4_4 + Board_5_4_4 + Board_6_4_4 + Board_7_4_4 + Board_8_4_4 + Board_9_4_4 + Board_10_4_4 + Columns_4_4 = 1
inv : Rows_8_10 + Board_8_0_10 + Board_8_1_10 + Board_8_2_10 + Board_8_3_10 + Board_8_4_10 + Board_8_5_10 + Board_8_6_10 + Board_8_7_10 + Board_8_8_10 + Board_8_9_10 + Board_8_10_10 = 1
inv : Board_8_10_0 + Board_8_10_1 + Board_8_10_2 + Board_8_10_3 + Board_8_10_4 + Board_8_10_5 + Board_8_10_6 + Board_8_10_7 + Board_8_10_8 + Board_8_10_9 + Board_8_10_10 + Cells_8_10 = 1
inv : Rows_10_1 + Board_10_0_1 + Board_10_1_1 + Board_10_2_1 + Board_10_3_1 + Board_10_4_1 + Board_10_5_1 + Board_10_6_1 + Board_10_7_1 + Board_10_8_1 + Board_10_9_1 + Board_10_10_1 = 1
inv : Board_0_1_0 + Board_1_1_0 + Board_2_1_0 + Board_3_1_0 + Board_4_1_0 + Board_5_1_0 + Board_6_1_0 + Board_7_1_0 + Board_8_1_0 + Board_9_1_0 + Board_10_1_0 + Columns_1_0 = 1
inv : Board_0_5_3 + Board_1_5_3 + Board_2_5_3 + Board_3_5_3 + Board_4_5_3 + Board_5_5_3 + Board_6_5_3 + Board_7_5_3 + Board_8_5_3 + Board_9_5_3 + Board_10_5_3 + Columns_5_3 = 1
inv : Board_6_6_0 + Board_6_6_1 + Board_6_6_2 + Board_6_6_3 + Board_6_6_4 + Board_6_6_5 + Board_6_6_6 + Board_6_6_7 + Board_6_6_8 + Board_6_6_9 + Board_6_6_10 + Cells_6_6 = 1
inv : Rows_1_8 + Board_1_0_8 + Board_1_1_8 + Board_1_2_8 + Board_1_3_8 + Board_1_4_8 + Board_1_5_8 + Board_1_6_8 + Board_1_7_8 + Board_1_8_8 + Board_1_9_8 + Board_1_10_8 = 1
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/graph14363261792420297893.txt, -o, /tmp/graph14363261792420297893.bin, -w, /tmp/graph14363261792420297893.weights], workingDir=null]
inv : Rows_5_0 + Board_5_0_0 + Board_5_1_0 + Board_5_2_0 + Board_5_3_0 + Board_5_4_0 + Board_5_5_0 + Board_5_6_0 + Board_5_7_0 + Board_5_8_0 + Board_5_9_0 + Board_5_10_0 = 1
inv : Rows_6_9 + Board_6_0_9 + Board_6_1_9 + Board_6_2_9 + Board_6_3_9 + Board_6_4_9 + Board_6_5_9 + Board_6_6_9 + Board_6_7_9 + Board_6_8_9 + Board_6_9_9 + Board_6_10_9 = 1
inv : Rows_3_9 + Board_3_0_9 + Board_3_1_9 + Board_3_2_9 + Board_3_3_9 + Board_3_4_9 + Board_3_5_9 + Board_3_6_9 + Board_3_7_9 + Board_3_8_9 + Board_3_9_9 + Board_3_10_9 = 1
inv : Board_3_1_0 + Board_3_1_1 + Board_3_1_2 + Board_3_1_3 + Board_3_1_4 + Board_3_1_5 + Board_3_1_6 + Board_3_1_7 + Board_3_1_8 + Board_3_1_9 + Board_3_1_10 + Cells_3_1 = 1
inv : Rows_8_0 + Board_8_0_0 + Board_8_1_0 + Board_8_2_0 + Board_8_3_0 + Board_8_4_0 + Board_8_5_0 + Board_8_6_0 + Board_8_7_0 + Board_8_8_0 + Board_8_9_0 + Board_8_10_0 = 1
inv : Board_0_6_9 + Board_1_6_9 + Board_2_6_9 + Board_3_6_9 + Board_4_6_9 + Board_5_6_9 + Board_6_6_9 + Board_7_6_9 + Board_8_6_9 + Board_9_6_9 + Board_10_6_9 + Columns_6_9 = 1
inv : Board_0_3_5 + Board_1_3_5 + Board_2_3_5 + Board_3_3_5 + Board_4_3_5 + Board_5_3_5 + Board_6_3_5 + Board_7_3_5 + Board_8_3_5 + Board_9_3_5 + Board_10_3_5 + Columns_3_5 = 1
inv : Board_4_2_0 + Board_4_2_1 + Board_4_2_2 + Board_4_2_3 + Board_4_2_4 + Board_4_2_5 + Board_4_2_6 + Board_4_2_7 + Board_4_2_8 + Board_4_2_9 + Board_4_2_10 + Cells_4_2 = 1
inv : Board_0_6_2 + Board_1_6_2 + Board_2_6_2 + Board_3_6_2 + Board_4_6_2 + Board_5_6_2 + Board_6_6_2 + Board_7_6_2 + Board_8_6_2 + Board_9_6_2 + Board_10_6_2 + Columns_6_2 = 1
inv : Rows_5_10 + Board_5_0_10 + Board_5_1_10 + Board_5_2_10 + Board_5_3_10 + Board_5_4_10 + Board_5_5_10 + Board_5_6_10 + Board_5_7_10 + Board_5_8_10 + Board_5_9_10 + Board_5_10_10 = 1
inv : Board_0_1_10 + Board_1_1_10 + Board_2_1_10 + Board_3_1_10 + Board_4_1_10 + Board_5_1_10 + Board_6_1_10 + Board_7_1_10 + Board_8_1_10 + Board_9_1_10 + Board_10_1_10 + Columns_1_10 = 1
inv : Rows_7_8 + Board_7_0_8 + Board_7_1_8 + Board_7_2_8 + Board_7_3_8 + Board_7_4_8 + Board_7_5_8 + Board_7_6_8 + Board_7_7_8 + Board_7_8_8 + Board_7_9_8 + Board_7_10_8 = 1
inv : Board_8_9_0 + Board_8_9_1 + Board_8_9_2 + Board_8_9_3 + Board_8_9_4 + Board_8_9_5 + Board_8_9_6 + Board_8_9_7 + Board_8_9_8 + Board_8_9_9 + Board_8_9_10 + Cells_8_9 = 1
inv : Rows_4_1 + Board_4_0_1 + Board_4_1_1 + Board_4_2_1 + Board_4_3_1 + Board_4_4_1 + Board_4_5_1 + Board_4_6_1 + Board_4_7_1 + Board_4_8_1 + Board_4_9_1 + Board_4_10_1 = 1
inv : Rows_5_7 + Board_5_0_7 + Board_5_1_7 + Board_5_2_7 + Board_5_3_7 + Board_5_4_7 + Board_5_5_7 + Board_5_6_7 + Board_5_7_7 + Board_5_8_7 + Board_5_9_7 + Board_5_10_7 = 1
inv : Board_0_0_1 + Board_1_0_1 + Board_2_0_1 + Board_3_0_1 + Board_4_0_1 + Board_5_0_1 + Board_6_0_1 + Board_7_0_1 + Board_8_0_1 + Board_9_0_1 + Board_10_0_1 + Columns_0_1 = 1
inv : Rows_3_6 + Board_3_0_6 + Board_3_1_6 + Board_3_2_6 + Board_3_3_6 + Board_3_4_6 + Board_3_5_6 + Board_3_6_6 + Board_3_7_6 + Board_3_8_6 + Board_3_9_6 + Board_3_10_6 = 1
inv : Rows_9_9 + Board_9_0_9 + Board_9_1_9 + Board_9_2_9 + Board_9_3_9 + Board_9_4_9 + Board_9_5_9 + Board_9_6_9 + Board_9_7_9 + Board_9_8_9 + Board_9_9_9 + Board_9_10_9 = 1
inv : Rows_2_0 + Board_2_0_0 + Board_2_1_0 + Board_2_2_0 + Board_2_3_0 + Board_2_4_0 + Board_2_5_0 + Board_2_6_0 + Board_2_7_0 + Board_2_8_0 + Board_2_9_0 + Board_2_10_0 = 1
inv : Rows_8_3 + Board_8_0_3 + Board_8_1_3 + Board_8_2_3 + Board_8_3_3 + Board_8_4_3 + Board_8_5_3 + Board_8_6_3 + Board_8_7_3 + Board_8_8_3 + Board_8_9_3 + Board_8_10_3 = 1
inv : Board_0_9_6 + Board_1_9_6 + Board_2_9_6 + Board_3_9_6 + Board_4_9_6 + Board_5_9_6 + Board_6_9_6 + Board_7_9_6 + Board_8_9_6 + Board_9_9_6 + Board_10_9_6 + Columns_9_6 = 1
inv : Board_0_8_7 + Board_1_8_7 + Board_2_8_7 + Board_3_8_7 + Board_4_8_7 + Board_5_8_7 + Board_6_8_7 + Board_7_8_7 + Board_8_8_7 + Board_9_8_7 + Board_10_8_7 + Columns_8_7 = 1
inv : Board_5_4_0 + Board_5_4_1 + Board_5_4_2 + Board_5_4_3 + Board_5_4_4 + Board_5_4_5 + Board_5_4_6 + Board_5_4_7 + Board_5_4_8 + Board_5_4_9 + Board_5_4_10 + Cells_5_4 = 1
inv : Board_9_0_0 + Board_9_0_1 + Board_9_0_2 + Board_9_0_3 + Board_9_0_4 + Board_9_0_5 + Board_9_0_6 + Board_9_0_7 + Board_9_0_8 + Board_9_0_9 + Board_9_0_10 + Cells_9_0 = 1
inv : Board_1_10_0 + Board_1_10_1 + Board_1_10_2 + Board_1_10_3 + Board_1_10_4 + Board_1_10_5 + Board_1_10_6 + Board_1_10_7 + Board_1_10_8 + Board_1_10_9 + Board_1_10_10 + Cells_1_10 = 1
inv : Rows_6_2 + Board_6_0_2 + Board_6_1_2 + Board_6_2_2 + Board_6_3_2 + Board_6_4_2 + Board_6_5_2 + Board_6_6_2 + Board_6_7_2 + Board_6_8_2 + Board_6_9_2 + Board_6_10_2 = 1
inv : Board_0_2_2 + Board_1_2_2 + Board_2_2_2 + Board_3_2_2 + Board_4_2_2 + Board_5_2_2 + Board_6_2_2 + Board_7_2_2 + Board_8_2_2 + Board_9_2_2 + Board_10_2_2 + Columns_2_2 = 1
inv : Board_10_0_0 + Board_10_0_1 + Board_10_0_2 + Board_10_0_3 + Board_10_0_4 + Board_10_0_5 + Board_10_0_6 + Board_10_0_7 + Board_10_0_8 + Board_10_0_9 + Board_10_0_10 + Cells_10_0 = 1
inv : Board_2_10_0 + Board_2_10_1 + Board_2_10_2 + Board_2_10_3 + Board_2_10_4 + Board_2_10_5 + Board_2_10_6 + Board_2_10_7 + Board_2_10_8 + Board_2_10_9 + Board_2_10_10 + Cells_2_10 = 1
inv : Board_5_6_0 + Board_5_6_1 + Board_5_6_2 + Board_5_6_3 + Board_5_6_4 + Board_5_6_5 + Board_5_6_6 + Board_5_6_7 + Board_5_6_8 + Board_5_6_9 + Board_5_6_10 + Cells_5_6 = 1
inv : Board_9_10_0 + Board_9_10_1 + Board_9_10_2 + Board_9_10_3 + Board_9_10_4 + Board_9_10_5 + Board_9_10_6 + Board_9_10_7 + Board_9_10_8 + Board_9_10_9 + Board_9_10_10 + Cells_9_10 = 1
inv : Board_10_2_0 + Board_10_2_1 + Board_10_2_2 + Board_10_2_3 + Board_10_2_4 + Board_10_2_5 + Board_10_2_6 + Board_10_2_7 + Board_10_2_8 + Board_10_2_9 + Board_10_2_10 + Cells_10_2 = 1
inv : Board_0_10_9 + Board_1_10_9 + Board_2_10_9 + Board_3_10_9 + Board_4_10_9 + Board_5_10_9 + Board_6_10_9 + Board_7_10_9 + Board_8_10_9 + Board_9_10_9 + Board_10_10_9 + Columns_10_9 = 1
inv : Rows_0_2 + Board_0_0_2 + Board_0_1_2 + Board_0_2_2 + Board_0_3_2 + Board_0_4_2 + Board_0_5_2 + Board_0_6_2 + Board_0_7_2 + Board_0_8_2 + Board_0_9_2 + Board_0_10_2 = 1
inv : Board_5_3_0 + Board_5_3_1 + Board_5_3_2 + Board_5_3_3 + Board_5_3_4 + Board_5_3_5 + Board_5_3_6 + Board_5_3_7 + Board_5_3_8 + Board_5_3_9 + Board_5_3_10 + Cells_5_3 = 1
inv : Board_4_4_0 + Board_4_4_1 + Board_4_4_2 + Board_4_4_3 + Board_4_4_4 + Board_4_4_5 + Board_4_4_6 + Board_4_4_7 + Board_4_4_8 + Board_4_4_9 + Board_4_4_10 + Cells_4_4 = 1
inv : Rows_9_6 + Board_9_0_6 + Board_9_1_6 + Board_9_2_6 + Board_9_3_6 + Board_9_4_6 + Board_9_5_6 + Board_9_6_6 + Board_9_7_6 + Board_9_8_6 + Board_9_9_6 + Board_9_10_6 = 1
inv : Rows_2_3 + Board_2_0_3 + Board_2_1_3 + Board_2_2_3 + Board_2_3_3 + Board_2_4_3 + Board_2_5_3 + Board_2_6_3 + Board_2_7_3 + Board_2_8_3 + Board_2_9_3 + Board_2_10_3 = 1
inv : Board_7_6_0 + Board_7_6_1 + Board_7_6_2 + Board_7_6_3 + Board_7_6_4 + Board_7_6_5 + Board_7_6_6 + Board_7_6_7 + Board_7_6_8 + Board_7_6_9 + Board_7_6_10 + Cells_7_6 = 1
inv : Board_0_1_3 + Board_1_1_3 + Board_2_1_3 + Board_3_1_3 + Board_4_1_3 + Board_5_1_3 + Board_6_1_3 + Board_7_1_3 + Board_8_1_3 + Board_9_1_3 + Board_10_1_3 + Columns_1_3 = 1
inv : Board_0_5_0 + Board_1_5_0 + Board_2_5_0 + Board_3_5_0 + Board_4_5_0 + Board_5_5_0 + Board_6_5_0 + Board_7_5_0 + Board_8_5_0 + Board_9_5_0 + Board_10_5_0 + Columns_5_0 = 1
inv : Board_7_10_0 + Board_7_10_1 + Board_7_10_2 + Board_7_10_3 + Board_7_10_4 + Board_7_10_5 + Board_7_10_6 + Board_7_10_7 + Board_7_10_8 + Board_7_10_9 + Board_7_10_10 + Cells_7_10 = 1
inv : Board_0_9_9 + Board_1_9_9 + Board_2_9_9 + Board_3_9_9 + Board_4_9_9 + Board_5_9_9 + Board_6_9_9 + Board_7_9_9 + Board_8_9_9 + Board_9_9_9 + Board_10_9_9 + Columns_9_9 = 1
inv : Board_0_8_4 + Board_1_8_4 + Board_2_8_4 + Board_3_8_4 + Board_4_8_4 + Board_5_8_4 + Board_6_8_4 + Board_7_8_4 + Board_8_8_4 + Board_9_8_4 + Board_10_8_4 + Columns_8_4 = 1
inv : Board_0_4_7 + Board_1_4_7 + Board_2_4_7 + Board_3_4_7 + Board_4_4_7 + Board_5_4_7 + Board_6_4_7 + Board_7_4_7 + Board_8_4_7 + Board_9_4_7 + Board_10_4_7 + Columns_4_7 = 1
inv : Board_0_5_7 + Board_1_5_7 + Board_2_5_7 + Board_3_5_7 + Board_4_5_7 + Board_5_5_7 + Board_6_5_7 + Board_7_5_7 + Board_8_5_7 + Board_9_5_7 + Board_10_5_7 + Columns_5_7 = 1
inv : Rows_4_4 + Board_4_0_4 + Board_4_1_4 + Board_4_2_4 + Board_4_3_4 + Board_4_4_4 + Board_4_5_4 + Board_4_6_4 + Board_4_7_4 + Board_4_8_4 + Board_4_9_4 + Board_4_10_4 = 1
inv : Rows_5_4 + Board_5_0_4 + Board_5_1_4 + Board_5_2_4 + Board_5_3_4 + Board_5_4_4 + Board_5_5_4 + Board_5_6_4 + Board_5_7_4 + Board_5_8_4 + Board_5_9_4 + Board_5_10_4 = 1
inv : Board_0_4_0 + Board_1_4_0 + Board_2_4_0 + Board_3_4_0 + Board_4_4_0 + Board_5_4_0 + Board_6_4_0 + Board_7_4_0 + Board_8_4_0 + Board_9_4_0 + Board_10_4_0 + Columns_4_0 = 1
inv : Rows_7_5 + Board_7_0_5 + Board_7_1_5 + Board_7_2_5 + Board_7_3_5 + Board_7_4_5 + Board_7_5_5 + Board_7_6_5 + Board_7_7_5 + Board_7_8_5 + Board_7_9_5 + Board_7_10_5 = 1
inv : Board_3_3_0 + Board_3_3_1 + Board_3_3_2 + Board_3_3_3 + Board_3_3_4 + Board_3_3_5 + Board_3_3_6 + Board_3_3_7 + Board_3_3_8 + Board_3_3_9 + Board_3_3_10 + Cells_3_3 = 1
inv : Board_6_7_0 + Board_6_7_1 + Board_6_7_2 + Board_6_7_3 + Board_6_7_4 + Board_6_7_5 + Board_6_7_6 + Board_6_7_7 + Board_6_7_8 + Board_6_7_9 + Board_6_7_10 + Cells_6_7 = 1
inv : Rows_8_6 + Board_8_0_6 + Board_8_1_6 + Board_8_2_6 + Board_8_3_6 + Board_8_4_6 + Board_8_5_6 + Board_8_6_6 + Board_8_7_6 + Board_8_8_6 + Board_8_9_6 + Board_8_10_6 = 1
inv : Rows_3_3 + Board_3_0_3 + Board_3_1_3 + Board_3_2_3 + Board_3_3_3 + Board_3_4_3 + Board_3_5_3 + Board_3_6_3 + Board_3_7_3 + Board_3_8_3 + Board_3_9_3 + Board_3_10_3 = 1
inv : Rows_6_5 + Board_6_0_5 + Board_6_1_5 + Board_6_2_5 + Board_6_3_5 + Board_6_4_5 + Board_6_5_5 + Board_6_6_5 + Board_6_7_5 + Board_6_8_5 + Board_6_9_5 + Board_6_10_5 = 1
inv : Board_4_0_0 + Board_4_0_1 + Board_4_0_2 + Board_4_0_3 + Board_4_0_4 + Board_4_0_5 + Board_4_0_6 + Board_4_0_7 + Board_4_0_8 + Board_4_0_9 + Board_4_0_10 + Cells_4_0 = 1
inv : Board_7_7_0 + Board_7_7_1 + Board_7_7_2 + Board_7_7_3 + Board_7_7_4 + Board_7_7_5 + Board_7_7_6 + Board_7_7_7 + Board_7_7_8 + Board_7_7_9 + Board_7_7_10 + Cells_7_7 = 1
inv : Board_0_0_7 + Board_1_0_7 + Board_2_0_7 + Board_3_0_7 + Board_4_0_7 + Board_5_0_7 + Board_6_0_7 + Board_7_0_7 + Board_8_0_7 + Board_9_0_7 + Board_10_0_7 + Columns_0_7 = 1
inv : Board_0_7_0 + Board_0_7_1 + Board_0_7_2 + Board_0_7_3 + Board_0_7_4 + Board_0_7_5 + Board_0_7_6 + Board_0_7_7 + Board_0_7_8 + Board_0_7_9 + Board_0_7_10 + Cells_0_7 = 1
inv : Board_3_0_0 + Board_3_0_1 + Board_3_0_2 + Board_3_0_3 + Board_3_0_4 + Board_3_0_5 + Board_3_0_6 + Board_3_0_7 + Board_3_0_8 + Board_3_0_9 + Board_3_0_10 + Cells_3_0 = 1
inv : Rows_1_2 + Board_1_0_2 + Board_1_1_2 + Board_1_2_2 + Board_1_3_2 + Board_1_4_2 + Board_1_5_2 + Board_1_6_2 + Board_1_7_2 + Board_1_8_2 + Board_1_9_2 + Board_1_10_2 = 1
inv : Rows_10_7 + Board_10_0_7 + Board_10_1_7 + Board_10_2_7 + Board_10_3_7 + Board_10_4_7 + Board_10_5_7 + Board_10_6_7 + Board_10_7_7 + Board_10_8_7 + Board_10_9_7 + Board_10_10_7 = 1
inv : Board_4_3_0 + Board_4_3_1 + Board_4_3_2 + Board_4_3_3 + Board_4_3_4 + Board_4_3_5 + Board_4_3_6 + Board_4_3_7 + Board_4_3_8 + Board_4_3_9 + Board_4_3_10 + Cells_4_3 = 1
inv : Board_5_7_0 + Board_5_7_1 + Board_5_7_2 + Board_5_7_3 + Board_5_7_4 + Board_5_7_5 + Board_5_7_6 + Board_5_7_7 + Board_5_7_8 + Board_5_7_9 + Board_5_7_10 + Cells_5_7 = 1
inv : Board_0_2_9 + Board_1_2_9 + Board_2_2_9 + Board_3_2_9 + Board_4_2_9 + Board_5_2_9 + Board_6_2_9 + Board_7_2_9 + Board_8_2_9 + Board_9_2_9 + Board_10_2_9 + Columns_2_9 = 1
inv : Board_10_3_0 + Board_10_3_1 + Board_10_3_2 + Board_10_3_3 + Board_10_3_4 + Board_10_3_5 + Board_10_3_6 + Board_10_3_7 + Board_10_3_8 + Board_10_3_9 + Board_10_3_10 + Cells_10_3 = 1
inv : Board_0_9_0 + Board_1_9_0 + Board_2_9_0 + Board_3_9_0 + Board_4_9_0 + Board_5_9_0 + Board_6_9_0 + Board_7_9_0 + Board_8_9_0 + Board_9_9_0 + Board_10_9_0 + Columns_9_0 = 1
inv : Board_1_7_0 + Board_1_7_1 + Board_1_7_2 + Board_1_7_3 + Board_1_7_4 + Board_1_7_5 + Board_1_7_6 + Board_1_7_7 + Board_1_7_8 + Board_1_7_9 + Board_1_7_10 + Cells_1_7 = 1
inv : Board_2_0_0 + Board_2_0_1 + Board_2_0_2 + Board_2_0_3 + Board_2_0_4 + Board_2_0_5 + Board_2_0_6 + Board_2_0_7 + Board_2_0_8 + Board_2_0_9 + Board_2_0_10 + Cells_2_0 = 1
inv : Rows_9_2 + Board_9_0_2 + Board_9_1_2 + Board_9_2_2 + Board_9_3_2 + Board_9_4_2 + Board_9_5_2 + Board_9_6_2 + Board_9_7_2 + Board_9_8_2 + Board_9_9_2 + Board_9_10_2 = 1
inv : Rows_2_7 + Board_2_0_7 + Board_2_1_7 + Board_2_2_7 + Board_2_3_7 + Board_2_4_7 + Board_2_5_7 + Board_2_6_7 + Board_2_7_7 + Board_2_8_7 + Board_2_9_7 + Board_2_10_7 = 1
inv : Rows_7_1 + Board_7_0_1 + Board_7_1_1 + Board_7_2_1 + Board_7_3_1 + Board_7_4_1 + Board_7_5_1 + Board_7_6_1 + Board_7_7_1 + Board_7_8_1 + Board_7_9_1 + Board_7_10_1 = 1
inv : Board_0_8_0 + Board_1_8_0 + Board_2_8_0 + Board_3_8_0 + Board_4_8_0 + Board_5_8_0 + Board_6_8_0 + Board_7_8_0 + Board_8_8_0 + Board_9_8_0 + Board_10_8_0 + Columns_8_0 = 1
inv : Board_0_3_9 + Board_1_3_9 + Board_2_3_9 + Board_3_3_9 + Board_4_3_9 + Board_5_3_9 + Board_6_3_9 + Board_7_3_9 + Board_8_3_9 + Board_9_3_9 + Board_10_3_9 + Columns_3_9 = 1
inv : Rows_0_6 + Board_0_0_6 + Board_0_1_6 + Board_0_2_6 + Board_0_3_6 + Board_0_4_6 + Board_0_5_6 + Board_0_6_6 + Board_0_7_6 + Board_0_8_6 + Board_0_9_6 + Board_0_10_6 = 1
inv : Rows_4_8 + Board_4_0_8 + Board_4_1_8 + Board_4_2_8 + Board_4_3_8 + Board_4_4_8 + Board_4_5_8 + Board_4_6_8 + Board_4_7_8 + Board_4_8_8 + Board_4_9_8 + Board_4_10_8 = 1
inv : Board_0_10_2 + Board_1_10_2 + Board_2_10_2 + Board_3_10_2 + Board_4_10_2 + Board_5_10_2 + Board_6_10_2 + Board_7_10_2 + Board_8_10_2 + Board_9_10_2 + Board_10_10_2 + Columns_10_2 = 1
inv : Board_0_1_7 + Board_1_1_7 + Board_2_1_7 + Board_3_1_7 + Board_4_1_7 + Board_5_1_7 + Board_6_1_7 + Board_7_1_7 + Board_8_1_7 + Board_9_1_7 + Board_10_1_7 + Columns_1_7 = 1
inv : Board_0_0_0 + Board_1_0_0 + Board_2_0_0 + Board_3_0_0 + Board_4_0_0 + Board_5_0_0 + Board_6_0_0 + Board_7_0_0 + Board_8_0_0 + Board_9_0_0 + Board_10_0_0 + Columns_0_0 = 1
inv : Board_5_1_0 + Board_5_1_1 + Board_5_1_2 + Board_5_1_3 + Board_5_1_4 + Board_5_1_5 + Board_5_1_6 + Board_5_1_7 + Board_5_1_8 + Board_5_1_9 + Board_5_1_10 + Cells_5_1 = 1
inv : Rows_0_0 + Board_0_0_0 + Board_0_1_0 + Board_0_2_0 + Board_0_3_0 + Board_0_4_0 + Board_0_5_0 + Board_0_6_0 + Board_0_7_0 + Board_0_8_0 + Board_0_9_0 + Board_0_10_0 = 1
inv : Board_6_3_0 + Board_6_3_1 + Board_6_3_2 + Board_6_3_3 + Board_6_3_4 + Board_6_3_5 + Board_6_3_6 + Board_6_3_7 + Board_6_3_8 + Board_6_3_9 + Board_6_3_10 + Cells_6_3 = 1
inv : Rows_4_2 + Board_4_0_2 + Board_4_1_2 + Board_4_2_2 + Board_4_3_2 + Board_4_4_2 + Board_4_5_2 + Board_4_6_2 + Board_4_7_2 + Board_4_8_2 + Board_4_9_2 + Board_4_10_2 = 1
inv : Board_10_4_0 + Board_10_4_1 + Board_10_4_2 + Board_10_4_3 + Board_10_4_4 + Board_10_4_5 + Board_10_4_6 + Board_10_4_7 + Board_10_4_8 + Board_10_4_9 + Board_10_4_10 + Cells_10_4 = 1
inv : Board_0_5_9 + Board_1_5_9 + Board_2_5_9 + Board_3_5_9 + Board_4_5_9 + Board_5_5_9 + Board_6_5_9 + Board_7_5_9 + Board_8_5_9 + Board_9_5_9 + Board_10_5_9 + Columns_5_9 = 1
inv : Rows_2_6 + Board_2_0_6 + Board_2_1_6 + Board_2_2_6 + Board_2_3_6 + Board_2_4_6 + Board_2_5_6 + Board_2_6_6 + Board_2_7_6 + Board_2_8_6 + Board_2_9_6 + Board_2_10_6 = 1
inv : Board_0_10_1 + Board_1_10_1 + Board_2_10_1 + Board_3_10_1 + Board_4_10_1 + Board_5_10_1 + Board_6_10_1 + Board_7_10_1 + Board_8_10_1 + Board_9_10_1 + Board_10_10_1 + Columns_10_1 = 1
inv : Board_3_4_0 + Board_3_4_1 + Board_3_4_2 + Board_3_4_3 + Board_3_4_4 + Board_3_4_5 + Board_3_4_6 + Board_3_4_7 + Board_3_4_8 + Board_3_4_9 + Board_3_4_10 + Cells_3_4 = 1
inv : Board_0_0_5 + Board_1_0_5 + Board_2_0_5 + Board_3_0_5 + Board_4_0_5 + Board_5_0_5 + Board_6_0_5 + Board_7_0_5 + Board_8_0_5 + Board_9_0_5 + Board_10_0_5 + Columns_0_5 = 1
inv : Board_0_8_8 + Board_1_8_8 + Board_2_8_8 + Board_3_8_8 + Board_4_8_8 + Board_5_8_8 + Board_6_8_8 + Board_7_8_8 + Board_8_8_8 + Board_9_8_8 + Board_10_8_8 + Columns_8_8 = 1
inv : Rows_5_6 + Board_5_0_6 + Board_5_1_6 + Board_5_2_6 + Board_5_3_6 + Board_5_4_6 + Board_5_5_6 + Board_5_6_6 + Board_5_7_6 + Board_5_8_6 + Board_5_9_6 + Board_5_10_6 = 1
inv : Board_0_3_4 + Board_1_3_4 + Board_2_3_4 + Board_3_3_4 + Board_4_3_4 + Board_5_3_4 + Board_6_3_4 + Board_7_3_4 + Board_8_3_4 + Board_9_3_4 + Board_10_3_4 + Columns_3_4 = 1
inv : Board_8_7_0 + Board_8_7_1 + Board_8_7_2 + Board_8_7_3 + Board_8_7_4 + Board_8_7_5 + Board_8_7_6 + Board_8_7_7 + Board_8_7_8 + Board_8_7_9 + Board_8_7_10 + Cells_8_7 = 1
inv : Board_0_2_0 + Board_1_2_0 + Board_2_2_0 + Board_3_2_0 + Board_4_2_0 + Board_5_2_0 + Board_6_2_0 + Board_7_2_0 + Board_8_2_0 + Board_9_2_0 + Board_10_2_0 + Columns_2_0 = 1
inv : Rows_0_10 + Board_0_0_10 + Board_0_1_10 + Board_0_2_10 + Board_0_3_10 + Board_0_4_10 + Board_0_5_10 + Board_0_6_10 + Board_0_7_10 + Board_0_8_10 + Board_0_9_10 + Board_0_10_10 = 1
inv : Rows_8_4 + Board_8_0_4 + Board_8_1_4 + Board_8_2_4 + Board_8_3_4 + Board_8_4_4 + Board_8_5_4 + Board_8_6_4 + Board_8_7_4 + Board_8_8_4 + Board_8_9_4 + Board_8_10_4 = 1
inv : Rows_1_9 + Board_1_0_9 + Board_1_1_9 + Board_1_2_9 + Board_1_3_9 + Board_1_4_9 + Board_1_5_9 + Board_1_6_9 + Board_1_7_9 + Board_1_8_9 + Board_1_9_9 + Board_1_10_9 = 1
inv : Board_0_6_8 + Board_1_6_8 + Board_2_6_8 + Board_3_6_8 + Board_4_6_8 + Board_5_6_8 + Board_6_6_8 + Board_7_6_8 + Board_8_6_8 + Board_9_6_8 + Board_10_6_8 + Columns_6_8 = 1
inv : Board_0_7_9 + Board_1_7_9 + Board_2_7_9 + Board_3_7_9 + Board_4_7_9 + Board_5_7_9 + Board_6_7_9 + Board_7_7_9 + Board_8_7_9 + Board_9_7_9 + Board_10_7_9 + Columns_7_9 = 1
inv : Board_0_2_5 + Board_1_2_5 + Board_2_2_5 + Board_3_2_5 + Board_4_2_5 + Board_5_2_5 + Board_6_2_5 + Board_7_2_5 + Board_8_2_5 + Board_9_2_5 + Board_10_2_5 + Columns_2_5 = 1
inv : Rows_1_4 + Board_1_0_4 + Board_1_1_4 + Board_1_2_4 + Board_1_3_4 + Board_1_4_4 + Board_1_5_4 + Board_1_6_4 + Board_1_7_4 + Board_1_8_4 + Board_1_9_4 + Board_1_10_4 = 1
inv : Board_0_1_4 + Board_1_1_4 + Board_2_1_4 + Board_3_1_4 + Board_4_1_4 + Board_5_1_4 + Board_6_1_4 + Board_7_1_4 + Board_8_1_4 + Board_9_1_4 + Board_10_1_4 + Columns_1_4 = 1
inv : Board_6_9_0 + Board_6_9_1 + Board_6_9_2 + Board_6_9_3 + Board_6_9_4 + Board_6_9_5 + Board_6_9_6 + Board_6_9_7 + Board_6_9_8 + Board_6_9_9 + Board_6_9_10 + Cells_6_9 = 1
inv : Rows_10_2 + Board_10_0_2 + Board_10_1_2 + Board_10_2_2 + Board_10_3_2 + Board_10_4_2 + Board_10_5_2 + Board_10_6_2 + Board_10_7_2 + Board_10_8_2 + Board_10_9_2 + Board_10_10_2 = 1
inv : Board_7_4_0 + Board_7_4_1 + Board_7_4_2 + Board_7_4_3 + Board_7_4_4 + Board_7_4_5 + Board_7_4_6 + Board_7_4_7 + Board_7_4_8 + Board_7_4_9 + Board_7_4_10 + Cells_7_4 = 1
inv : Board_0_4_5 + Board_1_4_5 + Board_2_4_5 + Board_3_4_5 + Board_4_4_5 + Board_5_4_5 + Board_6_4_5 + Board_7_4_5 + Board_8_4_5 + Board_9_4_5 + Board_10_4_5 + Columns_4_5 = 1
inv : Board_1_1_0 + Board_1_1_1 + Board_1_1_2 + Board_1_1_3 + Board_1_1_4 + Board_1_1_5 + Board_1_1_6 + Board_1_1_7 + Board_1_1_8 + Board_1_1_9 + Board_1_1_10 + Cells_1_1 = 1
inv : Board_8_6_0 + Board_8_6_1 + Board_8_6_2 + Board_8_6_3 + Board_8_6_4 + Board_8_6_5 + Board_8_6_6 + Board_8_6_7 + Board_8_6_8 + Board_8_6_9 + Board_8_6_10 + Cells_8_6 = 1
inv : Board_2_1_0 + Board_2_1_1 + Board_2_1_2 + Board_2_1_3 + Board_2_1_4 + Board_2_1_5 + Board_2_1_6 + Board_2_1_7 + Board_2_1_8 + Board_2_1_9 + Board_2_1_10 + Cells_2_1 = 1
inv : Rows_3_8 + Board_3_0_8 + Board_3_1_8 + Board_3_2_8 + Board_3_3_8 + Board_3_4_8 + Board_3_5_8 + Board_3_6_8 + Board_3_7_8 + Board_3_8_8 + Board_3_9_8 + Board_3_10_8 = 1
inv : Board_1_6_0 + Board_1_6_1 + Board_1_6_2 + Board_1_6_3 + Board_1_6_4 + Board_1_6_5 + Board_1_6_6 + Board_1_6_7 + Board_1_6_8 + Board_1_6_9 + Board_1_6_10 + Cells_1_6 = 1
inv : Rows_6_0 + Board_6_0_0 + Board_6_1_0 + Board_6_2_0 + Board_6_3_0 + Board_6_4_0 + Board_6_5_0 + Board_6_6_0 + Board_6_7_0 + Board_6_8_0 + Board_6_9_0 + Board_6_10_0 = 1
inv : Board_9_9_0 + Board_9_9_1 + Board_9_9_2 + Board_9_9_3 + Board_9_9_4 + Board_9_9_5 + Board_9_9_6 + Board_9_9_7 + Board_9_9_8 + Board_9_9_9 + Board_9_9_10 + Cells_9_9 = 1
inv : Board_0_7_4 + Board_1_7_4 + Board_2_7_4 + Board_3_7_4 + Board_4_7_4 + Board_5_7_4 + Board_6_7_4 + Board_7_7_4 + Board_8_7_4 + Board_9_7_4 + Board_10_7_4 + Columns_7_4 = 1
inv : Board_0_5_4 + Board_1_5_4 + Board_2_5_4 + Board_3_5_4 + Board_4_5_4 + Board_5_5_4 + Board_6_5_4 + Board_7_5_4 + Board_8_5_4 + Board_9_5_4 + Board_10_5_4 + Columns_5_4 = 1
inv : Board_0_6_5 + Board_1_6_5 + Board_2_6_5 + Board_3_6_5 + Board_4_6_5 + Board_5_6_5 + Board_6_6_5 + Board_7_6_5 + Board_8_6_5 + Board_9_6_5 + Board_10_6_5 + Columns_6_5 = 1
inv : Board_10_9_0 + Board_10_9_1 + Board_10_9_2 + Board_10_9_3 + Board_10_9_4 + Board_10_9_5 + Board_10_9_6 + Board_10_9_7 + Board_10_9_8 + Board_10_9_9 + Board_10_9_10 + Cells_10_9 = 1
inv : Board_6_4_0 + Board_6_4_1 + Board_6_4_2 + Board_6_4_3 + Board_6_4_4 + Board_6_4_5 + Board_6_4_6 + Board_6_4_7 + Board_6_4_8 + Board_6_4_9 + Board_6_4_10 + Cells_6_4 = 1
inv : Board_0_10_8 + Board_1_10_8 + Board_2_10_8 + Board_3_10_8 + Board_4_10_8 + Board_5_10_8 + Board_6_10_8 + Board_7_10_8 + Board_8_10_8 + Board_9_10_8 + Board_10_10_8 + Columns_10_8 = 1
inv : Board_4_6_0 + Board_4_6_1 + Board_4_6_2 + Board_4_6_3 + Board_4_6_4 + Board_4_6_5 + Board_4_6_6 + Board_4_6_7 + Board_4_6_8 + Board_4_6_9 + Board_4_6_10 + Cells_4_6 = 1
inv : Rows_9_8 + Board_9_0_8 + Board_9_1_8 + Board_9_2_8 + Board_9_3_8 + Board_9_4_8 + Board_9_5_8 + Board_9_6_8 + Board_9_7_8 + Board_9_8_8 + Board_9_9_8 + Board_9_10_8 = 1
inv : Board_0_1_1 + Board_1_1_1 + Board_2_1_1 + Board_3_1_1 + Board_4_1_1 + Board_5_1_1 + Board_6_1_1 + Board_7_1_1 + Board_8_1_1 + Board_9_1_1 + Board_10_1_1 + Columns_1_1 = 1
inv : Board_0_0_8 + Board_1_0_8 + Board_2_0_8 + Board_3_0_8 + Board_4_0_8 + Board_5_0_8 + Board_6_0_8 + Board_7_0_8 + Board_8_0_8 + Board_9_0_8 + Board_10_0_8 + Columns_0_8 = 1
inv : Board_5_9_0 + Board_5_9_1 + Board_5_9_2 + Board_5_9_3 + Board_5_9_4 + Board_5_9_5 + Board_5_9_6 + Board_5_9_7 + Board_5_9_8 + Board_5_9_9 + Board_5_9_10 + Cells_5_9 = 1
inv : Rows_6_1 + Board_6_0_1 + Board_6_1_1 + Board_6_2_1 + Board_6_3_1 + Board_6_4_1 + Board_6_5_1 + Board_6_6_1 + Board_6_7_1 + Board_6_8_1 + Board_6_9_1 + Board_6_10_1 = 1
inv : Board_0_7_5 + Board_1_7_5 + Board_2_7_5 + Board_3_7_5 + Board_4_7_5 + Board_5_7_5 + Board_6_7_5 + Board_7_7_5 + Board_8_7_5 + Board_9_7_5 + Board_10_7_5 + Columns_7_5 = 1
inv : Board_0_4_1 + Board_1_4_1 + Board_2_4_1 + Board_3_4_1 + Board_4_4_1 + Board_5_4_1 + Board_6_4_1 + Board_7_4_1 + Board_8_4_1 + Board_9_4_1 + Board_10_4_1 + Columns_4_1 = 1
inv : Rows_4_5 + Board_4_0_5 + Board_4_1_5 + Board_4_2_5 + Board_4_3_5 + Board_4_4_5 + Board_4_5_5 + Board_4_6_5 + Board_4_7_5 + Board_4_8_5 + Board_4_9_5 + Board_4_10_5 = 1
inv : Board_0_1_8 + Board_1_1_8 + Board_2_1_8 + Board_3_1_8 + Board_4_1_8 + Board_5_1_8 + Board_6_1_8 + Board_7_1_8 + Board_8_1_8 + Board_9_1_8 + Board_10_1_8 + Columns_1_8 = 1
inv : Board_0_3_1 + Board_1_3_1 + Board_2_3_1 + Board_3_3_1 + Board_4_3_1 + Board_5_3_1 + Board_6_3_1 + Board_7_3_1 + Board_8_3_1 + Board_9_3_1 + Board_10_3_1 + Columns_3_1 = 1
inv : Board_0_8_5 + Board_1_8_5 + Board_2_8_5 + Board_3_8_5 + Board_4_8_5 + Board_5_8_5 + Board_6_8_5 + Board_7_8_5 + Board_8_8_5 + Board_9_8_5 + Board_10_8_5 + Columns_8_5 = 1
inv : Rows_7_9 + Board_7_0_9 + Board_7_1_9 + Board_7_2_9 + Board_7_3_9 + Board_7_4_9 + Board_7_5_9 + Board_7_6_9 + Board_7_7_9 + Board_7_8_9 + Board_7_9_9 + Board_7_10_9 = 1
inv : Rows_5_3 + Board_5_0_3 + Board_5_1_3 + Board_5_2_3 + Board_5_3_3 + Board_5_4_3 + Board_5_5_3 + Board_5_6_3 + Board_5_7_3 + Board_5_8_3 + Board_5_9_3 + Board_5_10_3 = 1
inv : Board_9_4_0 + Board_9_4_1 + Board_9_4_2 + Board_9_4_3 + Board_9_4_4 + Board_9_4_5 + Board_9_4_6 + Board_9_4_7 + Board_9_4_8 + Board_9_4_9 + Board_9_4_10 + Cells_9_4 = 1
inv : Board_0_6_1 + Board_1_6_1 + Board_2_6_1 + Board_3_6_1 + Board_4_6_1 + Board_5_6_1 + Board_6_6_1 + Board_7_6_1 + Board_8_6_1 + Board_9_6_1 + Board_10_6_1 + Columns_6_1 = 1
inv : Rows_1_5 + Board_1_0_5 + Board_1_1_5 + Board_1_2_5 + Board_1_3_5 + Board_1_4_5 + Board_1_5_5 + Board_1_6_5 + Board_1_7_5 + Board_1_8_5 + Board_1_9_5 + Board_1_10_5 = 1
inv : Board_6_1_0 + Board_6_1_1 + Board_6_1_2 + Board_6_1_3 + Board_6_1_4 + Board_6_1_5 + Board_6_1_6 + Board_6_1_7 + Board_6_1_8 + Board_6_1_9 + Board_6_1_10 + Cells_6_1 = 1
inv : Rows_0_3 + Board_0_0_3 + Board_0_1_3 + Board_0_2_3 + Board_0_3_3 + Board_0_4_3 + Board_0_5_3 + Board_0_6_3 + Board_0_7_3 + Board_0_8_3 + Board_0_9_3 + Board_0_10_3 = 1
inv : Board_0_6_0 + Board_0_6_1 + Board_0_6_2 + Board_0_6_3 + Board_0_6_4 + Board_0_6_5 + Board_0_6_6 + Board_0_6_7 + Board_0_6_8 + Board_0_6_9 + Board_0_6_10 + Cells_0_6 = 1
inv : Board_0_9_5 + Board_1_9_5 + Board_2_9_5 + Board_3_9_5 + Board_4_9_5 + Board_5_9_5 + Board_6_9_5 + Board_7_9_5 + Board_8_9_5 + Board_9_9_5 + Board_10_9_5 + Columns_9_5 = 1
inv : Rows_9_5 + Board_9_0_5 + Board_9_1_5 + Board_9_2_5 + Board_9_3_5 + Board_9_4_5 + Board_9_5_5 + Board_9_6_5 + Board_9_7_5 + Board_9_8_5 + Board_9_9_5 + Board_9_10_5 = 1
inv : Board_7_9_0 + Board_7_9_1 + Board_7_9_2 + Board_7_9_3 + Board_7_9_4 + Board_7_9_5 + Board_7_9_6 + Board_7_9_7 + Board_7_9_8 + Board_7_9_9 + Board_7_9_10 + Cells_7_9 = 1
inv : Board_0_5_1 + Board_1_5_1 + Board_2_5_1 + Board_3_5_1 + Board_4_5_1 + Board_5_5_1 + Board_6_5_1 + Board_7_5_1 + Board_8_5_1 + Board_9_5_1 + Board_10_5_1 + Columns_5_1 = 1
inv : Rows_2_10 + Board_2_0_10 + Board_2_1_10 + Board_2_2_10 + Board_2_3_10 + Board_2_4_10 + Board_2_5_10 + Board_2_6_10 + Board_2_7_10 + Board_2_8_10 + Board_2_9_10 + Board_2_10_10 = 1
inv : Board_4_1_0 + Board_4_1_1 + Board_4_1_2 + Board_4_1_3 + Board_4_1_4 + Board_4_1_5 + Board_4_1_6 + Board_4_1_7 + Board_4_1_8 + Board_4_1_9 + Board_4_1_10 + Cells_4_1 = 1
inv : Board_0_10_5 + Board_1_10_5 + Board_2_10_5 + Board_3_10_5 + Board_4_10_5 + Board_5_10_5 + Board_6_10_5 + Board_7_10_5 + Board_8_10_5 + Board_9_10_5 + Board_10_10_5 + Columns_10_5 = 1
inv : Board_8_1_0 + Board_8_1_1 + Board_8_1_2 + Board_8_1_3 + Board_8_1_4 + Board_8_1_5 + Board_8_1_6 + Board_8_1_7 + Board_8_1_8 + Board_8_1_9 + Board_8_1_10 + Cells_8_1 = 1
inv : Board_0_0_4 + Board_1_0_4 + Board_2_0_4 + Board_3_0_4 + Board_4_0_4 + Board_5_0_4 + Board_6_0_4 + Board_7_0_4 + Board_8_0_4 + Board_9_0_4 + Board_10_0_4 + Columns_0_4 = 1
inv : Rows_4_9 + Board_4_0_9 + Board_4_1_9 + Board_4_2_9 + Board_4_3_9 + Board_4_4_9 + Board_4_5_9 + Board_4_6_9 + Board_4_7_9 + Board_4_8_9 + Board_4_9_9 + Board_4_10_9 = 1
inv : Board_0_3_8 + Board_1_3_8 + Board_2_3_8 + Board_3_3_8 + Board_4_3_8 + Board_5_3_8 + Board_6_3_8 + Board_7_3_8 + Board_8_3_8 + Board_9_3_8 + Board_10_3_8 + Columns_3_8 = 1
inv : Rows_10_10 + Board_10_0_10 + Board_10_1_10 + Board_10_2_10 + Board_10_3_10 + Board_10_4_10 + Board_10_5_10 + Board_10_6_10 + Board_10_7_10 + Board_10_8_10 + Board_10_9_10 + Board_10_10_10 = 1
inv : Board_0_8_1 + Board_1_8_1 + Board_2_8_1 + Board_3_8_1 + Board_4_8_1 + Board_5_8_1 + Board_6_8_1 + Board_7_8_1 + Board_8_8_1 + Board_9_8_1 + Board_10_8_1 + Columns_8_1 = 1
inv : Board_7_1_0 + Board_7_1_1 + Board_7_1_2 + Board_7_1_3 + Board_7_1_4 + Board_7_1_5 + Board_7_1_6 + Board_7_1_7 + Board_7_1_8 + Board_7_1_9 + Board_7_1_10 + Cells_7_1 = 1
inv : Board_0_7_1 + Board_1_7_1 + Board_2_7_1 + Board_3_7_1 + Board_4_7_1 + Board_5_7_1 + Board_6_7_1 + Board_7_7_1 + Board_8_7_1 + Board_9_7_1 + Board_10_7_1 + Columns_7_1 = 1
inv : Board_0_4_8 + Board_1_4_8 + Board_2_4_8 + Board_3_4_8 + Board_4_4_8 + Board_5_4_8 + Board_6_4_8 + Board_7_4_8 + Board_8_4_8 + Board_9_4_8 + Board_10_4_8 + Columns_4_8 = 1
inv : Rows_9_1 + Board_9_0_1 + Board_9_1_1 + Board_9_2_1 + Board_9_3_1 + Board_9_4_1 + Board_9_5_1 + Board_9_6_1 + Board_9_7_1 + Board_9_8_1 + Board_9_9_1 + Board_9_10_1 = 1
inv : Rows_3_0 + Board_3_0_0 + Board_3_1_0 + Board_3_2_0 + Board_3_3_0 + Board_3_4_0 + Board_3_5_0 + Board_3_6_0 + Board_3_7_0 + Board_3_8_0 + Board_3_9_0 + Board_3_10_0 = 1
inv : Board_3_9_0 + Board_3_9_1 + Board_3_9_2 + Board_3_9_3 + Board_3_9_4 + Board_3_9_5 + Board_3_9_6 + Board_3_9_7 + Board_3_9_8 + Board_3_9_9 + Board_3_9_10 + Cells_3_9 = 1
inv : Board_10_1_0 + Board_10_1_1 + Board_10_1_2 + Board_10_1_3 + Board_10_1_4 + Board_10_1_5 + Board_10_1_6 + Board_10_1_7 + Board_10_1_8 + Board_10_1_9 + Board_10_1_10 + Cells_10_1 = 1
inv : Rows_6_8 + Board_6_0_8 + Board_6_1_8 + Board_6_2_8 + Board_6_3_8 + Board_6_4_8 + Board_6_5_8 + Board_6_6_8 + Board_6_7_8 + Board_6_8_8 + Board_6_9_8 + Board_6_10_8 = 1
inv : Rows_0_7 + Board_0_0_7 + Board_0_1_7 + Board_0_2_7 + Board_0_3_7 + Board_0_4_7 + Board_0_5_7 + Board_0_6_7 + Board_0_7_7 + Board_0_8_7 + Board_0_9_7 + Board_0_10_7 = 1
inv : Rows_8_7 + Board_8_0_7 + Board_8_1_7 + Board_8_2_7 + Board_8_3_7 + Board_8_4_7 + Board_8_5_7 + Board_8_6_7 + Board_8_7_7 + Board_8_8_7 + Board_8_9_7 + Board_8_10_7 = 1
inv : Board_2_9_0 + Board_2_9_1 + Board_2_9_2 + Board_2_9_3 + Board_2_9_4 + Board_2_9_5 + Board_2_9_6 + Board_2_9_7 + Board_2_9_8 + Board_2_9_9 + Board_2_9_10 + Cells_2_9 = 1
inv : Board_9_1_0 + Board_9_1_1 + Board_9_1_2 + Board_9_1_3 + Board_9_1_4 + Board_9_1_5 + Board_9_1_6 + Board_9_1_7 + Board_9_1_8 + Board_9_1_9 + Board_9_1_10 + Cells_9_1 = 1
inv : Board_0_9_0 + Board_0_9_1 + Board_0_9_2 + Board_0_9_3 + Board_0_9_4 + Board_0_9_5 + Board_0_9_6 + Board_0_9_7 + Board_0_9_8 + Board_0_9_9 + Board_0_9_10 + Cells_0_9 = 1
inv : Board_0_2_8 + Board_1_2_8 + Board_2_2_8 + Board_3_2_8 + Board_4_2_8 + Board_5_2_8 + Board_6_2_8 + Board_7_2_8 + Board_8_2_8 + Board_9_2_8 + Board_10_2_8 + Columns_2_8 = 1
inv : Board_0_9_1 + Board_1_9_1 + Board_2_9_1 + Board_3_9_1 + Board_4_9_1 + Board_5_9_1 + Board_6_9_1 + Board_7_9_1 + Board_8_9_1 + Board_9_9_1 + Board_10_9_1 + Columns_9_1 = 1
inv : Rows_1_1 + Board_1_0_1 + Board_1_1_1 + Board_1_2_1 + Board_1_3_1 + Board_1_4_1 + Board_1_5_1 + Board_1_6_1 + Board_1_7_1 + Board_1_8_1 + Board_1_9_1 + Board_1_10_1 = 1
inv : Rows_7_2 + Board_7_0_2 + Board_7_1_2 + Board_7_2_2 + Board_7_3_2 + Board_7_4_2 + Board_7_5_2 + Board_7_6_2 + Board_7_7_2 + Board_7_8_2 + Board_7_9_2 + Board_7_10_2 = 1
inv : Board_1_9_0 + Board_1_9_1 + Board_1_9_2 + Board_1_9_3 + Board_1_9_4 + Board_1_9_5 + Board_1_9_6 + Board_1_9_7 + Board_1_9_8 + Board_1_9_9 + Board_1_9_10 + Cells_1_9 = 1
inv : Board_0_4_9 + Board_1_4_9 + Board_2_4_9 + Board_3_4_9 + Board_4_4_9 + Board_5_4_9 + Board_6_4_9 + Board_7_4_9 + Board_8_4_9 + Board_9_4_9 + Board_10_4_9 + Columns_4_9 = 1
inv : Board_0_1_5 + Board_1_1_5 + Board_2_1_5 + Board_3_1_5 + Board_4_1_5 + Board_5_1_5 + Board_6_1_5 + Board_7_1_5 + Board_8_1_5 + Board_9_1_5 + Board_10_1_5 + Columns_1_5 = 1
inv : Board_10_7_0 + Board_10_7_1 + Board_10_7_2 + Board_10_7_3 + Board_10_7_4 + Board_10_7_5 + Board_10_7_6 + Board_10_7_7 + Board_10_7_8 + Board_10_7_9 + Board_10_7_10 + Cells_10_7 = 1
inv : Rows_10_6 + Board_10_0_6 + Board_10_1_6 + Board_10_2_6 + Board_10_3_6 + Board_10_4_6 + Board_10_5_6 + Board_10_6_6 + Board_10_7_6 + Board_10_8_6 + Board_10_9_6 + Board_10_10_6 = 1
inv : Rows_1_3 + Board_1_0_3 + Board_1_1_3 + Board_1_2_3 + Board_1_3_3 + Board_1_4_3 + Board_1_5_3 + Board_1_6_3 + Board_1_7_3 + Board_1_8_3 + Board_1_9_3 + Board_1_10_3 = 1
inv : Board_2_5_0 + Board_2_5_1 + Board_2_5_2 + Board_2_5_3 + Board_2_5_4 + Board_2_5_5 + Board_2_5_6 + Board_2_5_7 + Board_2_5_8 + Board_2_5_9 + Board_2_5_10 + Cells_2_5 = 1
inv : Board_0_10_7 + Board_1_10_7 + Board_2_10_7 + Board_3_10_7 + Board_4_10_7 + Board_5_10_7 + Board_6_10_7 + Board_7_10_7 + Board_8_10_7 + Board_9_10_7 + Board_10_10_7 + Columns_10_7 = 1
inv : Board_4_9_0 + Board_4_9_1 + Board_4_9_2 + Board_4_9_3 + Board_4_9_4 + Board_4_9_5 + Board_4_9_6 + Board_4_9_7 + Board_4_9_8 + Board_4_9_9 + Board_4_9_10 + Cells_4_9 = 1
inv : Board_0_3_10 + Board_1_3_10 + Board_2_3_10 + Board_3_3_10 + Board_4_3_10 + Board_5_3_10 + Board_6_3_10 + Board_7_3_10 + Board_8_3_10 + Board_9_3_10 + Board_10_3_10 + Columns_3_10 = 1
inv : Board_0_8_2 + Board_1_8_2 + Board_2_8_2 + Board_3_8_2 + Board_4_8_2 + Board_5_8_2 + Board_6_8_2 + Board_7_8_2 + Board_8_8_2 + Board_9_8_2 + Board_10_8_2 + Columns_8_2 = 1
inv : Board_0_5_8 + Board_1_5_8 + Board_2_5_8 + Board_3_5_8 + Board_4_5_8 + Board_5_5_8 + Board_6_5_8 + Board_7_5_8 + Board_8_5_8 + Board_9_5_8 + Board_10_5_8 + Columns_5_8 = 1
inv : Rows_4_3 + Board_4_0_3 + Board_4_1_3 + Board_4_2_3 + Board_4_3_3 + Board_4_4_3 + Board_4_5_3 + Board_4_6_3 + Board_4_7_3 + Board_4_8_3 + Board_4_9_3 + Board_4_10_3 = 1
inv : Board_1_3_0 + Board_1_3_1 + Board_1_3_2 + Board_1_3_3 + Board_1_3_4 + Board_1_3_5 + Board_1_3_6 + Board_1_3_7 + Board_1_3_8 + Board_1_3_9 + Board_1_3_10 + Cells_1_3 = 1
inv : Board_6_0_0 + Board_6_0_1 + Board_6_0_2 + Board_6_0_3 + Board_6_0_4 + Board_6_0_5 + Board_6_0_6 + Board_6_0_7 + Board_6_0_8 + Board_6_0_9 + Board_6_0_10 + Cells_6_0 = 1
inv : Rows_6_4 + Board_6_0_4 + Board_6_1_4 + Board_6_2_4 + Board_6_3_4 + Board_6_4_4 + Board_6_5_4 + Board_6_6_4 + Board_6_7_4 + Board_6_8_4 + Board_6_9_4 + Board_6_10_4 = 1
inv : Rows_5_5 + Board_5_0_5 + Board_5_1_5 + Board_5_2_5 + Board_5_3_5 + Board_5_4_5 + Board_5_5_5 + Board_5_6_5 + Board_5_7_5 + Board_5_8_5 + Board_5_9_5 + Board_5_10_5 = 1
inv : Board_9_5_0 + Board_9_5_1 + Board_9_5_2 + Board_9_5_3 + Board_9_5_4 + Board_9_5_5 + Board_9_5_6 + Board_9_5_7 + Board_9_5_8 + Board_9_5_9 + Board_9_5_10 + Cells_9_5 = 1
inv : Board_0_2_4 + Board_1_2_4 + Board_2_2_4 + Board_3_2_4 + Board_4_2_4 + Board_5_2_4 + Board_6_2_4 + Board_7_2_4 + Board_8_2_4 + Board_9_2_4 + Board_10_2_4 + Columns_2_4 = 1
inv : Rows_3_4 + Board_3_0_4 + Board_3_1_4 + Board_3_2_4 + Board_3_3_4 + Board_3_4_4 + Board_3_5_4 + Board_3_6_4 + Board_3_7_4 + Board_3_8_4 + Board_3_9_4 + Board_3_10_4 = 1
inv : Board_0_7_3 + Board_1_7_3 + Board_2_7_3 + Board_3_7_3 + Board_4_7_3 + Board_5_7_3 + Board_6_7_3 + Board_7_7_3 + Board_8_7_3 + Board_9_7_3 + Board_10_7_3 + Columns_7_3 = 1
inv : Board_9_6_0 + Board_9_6_1 + Board_9_6_2 + Board_9_6_3 + Board_9_6_4 + Board_9_6_5 + Board_9_6_6 + Board_9_6_7 + Board_9_6_8 + Board_9_6_9 + Board_9_6_10 + Cells_9_6 = 1
inv : Rows_8_5 + Board_8_0_5 + Board_8_1_5 + Board_8_2_5 + Board_8_3_5 + Board_8_4_5 + Board_8_5_5 + Board_8_6_5 + Board_8_7_5 + Board_8_8_5 + Board_8_9_5 + Board_8_10_5 = 1
inv : Board_1_4_0 + Board_1_4_1 + Board_1_4_2 + Board_1_4_3 + Board_1_4_4 + Board_1_4_5 + Board_1_4_6 + Board_1_4_7 + Board_1_4_8 + Board_1_4_9 + Board_1_4_10 + Cells_1_4 = 1
inv : Board_5_10_0 + Board_5_10_1 + Board_5_10_2 + Board_5_10_3 + Board_5_10_4 + Board_5_10_5 + Board_5_10_6 + Board_5_10_7 + Board_5_10_8 + Board_5_10_9 + Board_5_10_10 + Cells_5_10 = 1
inv : Board_2_6_0 + Board_2_6_1 + Board_2_6_2 + Board_2_6_3 + Board_2_6_4 + Board_2_6_5 + Board_2_6_6 + Board_2_6_7 + Board_2_6_8 + Board_2_6_9 + Board_2_6_10 + Cells_2_6 = 1
inv : Board_4_8_0 + Board_4_8_1 + Board_4_8_2 + Board_4_8_3 + Board_4_8_4 + Board_4_8_5 + Board_4_8_6 + Board_4_8_7 + Board_4_8_8 + Board_4_8_9 + Board_4_8_10 + Cells_4_8 = 1
inv : Board_0_3_0 + Board_1_3_0 + Board_2_3_0 + Board_3_3_0 + Board_4_3_0 + Board_5_3_0 + Board_6_3_0 + Board_7_3_0 + Board_8_3_0 + Board_9_3_0 + Board_10_3_0 + Columns_3_0 = 1
inv : Board_0_3_3 + Board_1_3_3 + Board_2_3_3 + Board_3_3_3 + Board_4_3_3 + Board_5_3_3 + Board_6_3_3 + Board_7_3_3 + Board_8_3_3 + Board_9_3_3 + Board_10_3_3 + Columns_3_3 = 1
inv : Board_3_8_0 + Board_3_8_1 + Board_3_8_2 + Board_3_8_3 + Board_3_8_4 + Board_3_8_5 + Board_3_8_6 + Board_3_8_7 + Board_3_8_8 + Board_3_8_9 + Board_3_8_10 + Cells_3_8 = 1
inv : Board_0_6_7 + Board_1_6_7 + Board_2_6_7 + Board_3_6_7 + Board_4_6_7 + Board_5_6_7 + Board_6_6_7 + Board_7_6_7 + Board_8_6_7 + Board_9_6_7 + Board_10_6_7 + Columns_6_7 = 1
inv : Board_8_4_0 + Board_8_4_1 + Board_8_4_2 + Board_8_4_3 + Board_8_4_4 + Board_8_4_5 + Board_8_4_6 + Board_8_4_7 + Board_8_4_8 + Board_8_4_9 + Board_8_4_10 + Cells_8_4 = 1
inv : Rows_9_7 + Board_9_0_7 + Board_9_1_7 + Board_9_2_7 + Board_9_3_7 + Board_9_4_7 + Board_9_5_7 + Board_9_6_7 + Board_9_7_7 + Board_9_8_7 + Board_9_9_7 + Board_9_10_7 = 1
inv : Board_0_6_4 + Board_1_6_4 + Board_2_6_4 + Board_3_6_4 + Board_4_6_4 + Board_5_6_4 + Board_6_6_4 + Board_7_6_4 + Board_8_6_4 + Board_9_6_4 + Board_10_6_4 + Columns_6_4 = 1
inv : Board_0_5_5 + Board_1_5_5 + Board_2_5_5 + Board_3_5_5 + Board_4_5_5 + Board_5_5_5 + Board_6_5_5 + Board_7_5_5 + Board_8_5_5 + Board_9_5_5 + Board_10_5_5 + Columns_5_5 = 1
inv : Rows_2_2 + Board_2_0_2 + Board_2_1_2 + Board_2_2_2 + Board_2_3_2 + Board_2_4_2 + Board_2_5_2 + Board_2_6_2 + Board_2_7_2 + Board_2_8_2 + Board_2_9_2 + Board_2_10_2 = 1
inv : Rows_7_6 + Board_7_0_6 + Board_7_1_6 + Board_7_2_6 + Board_7_3_6 + Board_7_4_6 + Board_7_5_6 + Board_7_6_6 + Board_7_7_6 + Board_7_8_6 + Board_7_9_6 + Board_7_10_6 = 1
inv : Board_0_4_2 + Board_1_4_2 + Board_2_4_2 + Board_3_4_2 + Board_4_4_2 + Board_5_4_2 + Board_6_4_2 + Board_7_4_2 + Board_8_4_2 + Board_9_4_2 + Board_10_4_2 + Columns_4_2 = 1
inv : Board_0_7_6 + Board_1_7_6 + Board_2_7_6 + Board_3_7_6 + Board_4_7_6 + Board_5_7_6 + Board_6_7_6 + Board_7_7_6 + Board_8_7_6 + Board_9_7_6 + Board_10_7_6 + Columns_7_6 = 1
inv : Board_3_6_0 + Board_3_6_1 + Board_3_6_2 + Board_3_6_3 + Board_3_6_4 + Board_3_6_5 + Board_3_6_6 + Board_3_6_7 + Board_3_6_8 + Board_3_6_9 + Board_3_6_10 + Cells_3_6 = 1
inv : Board_0_9_8 + Board_1_9_8 + Board_2_9_8 + Board_3_9_8 + Board_4_9_8 + Board_5_9_8 + Board_6_9_8 + Board_7_9_8 + Board_8_9_8 + Board_9_9_8 + Board_10_9_8 + Columns_9_8 = 1
inv : Board_0_1_0 + Board_0_1_1 + Board_0_1_2 + Board_0_1_3 + Board_0_1_4 + Board_0_1_5 + Board_0_1_6 + Board_0_1_7 + Board_0_1_8 + Board_0_1_9 + Board_0_1_10 + Cells_0_1 = 1
inv : Board_0_2_1 + Board_1_2_1 + Board_2_2_1 + Board_3_2_1 + Board_4_2_1 + Board_5_2_1 + Board_6_2_1 + Board_7_2_1 + Board_8_2_1 + Board_9_2_1 + Board_10_2_1 + Columns_2_1 = 1
inv : Board_7_2_0 + Board_7_2_1 + Board_7_2_2 + Board_7_2_3 + Board_7_2_4 + Board_7_2_5 + Board_7_2_6 + Board_7_2_7 + Board_7_2_8 + Board_7_2_9 + Board_7_2_10 + Cells_7_2 = 1
inv : Board_8_2_0 + Board_8_2_1 + Board_8_2_2 + Board_8_2_3 + Board_8_2_4 + Board_8_2_5 + Board_8_2_6 + Board_8_2_7 + Board_8_2_8 + Board_8_2_9 + Board_8_2_10 + Cells_8_2 = 1
inv : Rows_0_1 + Board_0_0_1 + Board_0_1_1 + Board_0_2_1 + Board_0_3_1 + Board_0_4_1 + Board_0_5_1 + Board_0_6_1 + Board_0_7_1 + Board_0_8_1 + Board_0_9_1 + Board_0_10_1 = 1
inv : Rows_8_2 + Board_8_0_2 + Board_8_1_2 + Board_8_2_2 + Board_8_3_2 + Board_8_4_2 + Board_8_5_2 + Board_8_6_2 + Board_8_7_2 + Board_8_8_2 + Board_8_9_2 + Board_8_10_2 = 1
inv : Rows_3_7 + Board_3_0_7 + Board_3_1_7 + Board_3_2_7 + Board_3_3_7 + Board_3_4_7 + Board_3_5_7 + Board_3_6_7 + Board_3_7_7 + Board_3_8_7 + Board_3_9_7 + Board_3_10_7 = 1
inv : Rows_2_9 + Board_2_0_9 + Board_2_1_9 + Board_2_2_9 + Board_2_3_9 + Board_2_4_9 + Board_2_5_9 + Board_2_6_9 + Board_2_7_9 + Board_2_8_9 + Board_2_9_9 + Board_2_10_9 = 1
inv : Board_0_10_4 + Board_1_10_4 + Board_2_10_4 + Board_3_10_4 + Board_4_10_4 + Board_5_10_4 + Board_6_10_4 + Board_7_10_4 + Board_8_10_4 + Board_9_10_4 + Board_10_10_4 + Columns_10_4 = 1
inv : Board_0_7_0 + Board_1_7_0 + Board_2_7_0 + Board_3_7_0 + Board_4_7_0 + Board_5_7_0 + Board_6_7_0 + Board_7_7_0 + Board_8_7_0 + Board_9_7_0 + Board_10_7_0 + Columns_7_0 = 1
inv : Board_7_0_0 + Board_7_0_1 + Board_7_0_2 + Board_7_0_3 + Board_7_0_4 + Board_7_0_5 + Board_7_0_6 + Board_7_0_7 + Board_7_0_8 + Board_7_0_9 + Board_7_0_10 + Cells_7_0 = 1
inv : Board_0_2_7 + Board_1_2_7 + Board_2_2_7 + Board_3_2_7 + Board_4_2_7 + Board_5_2_7 + Board_6_2_7 + Board_7_2_7 + Board_8_2_7 + Board_9_2_7 + Board_10_2_7 + Columns_2_7 = 1
inv : Rows_9_0 + Board_9_0_0 + Board_9_1_0 + Board_9_2_0 + Board_9_3_0 + Board_9_4_0 + Board_9_5_0 + Board_9_6_0 + Board_9_7_0 + Board_9_8_0 + Board_9_9_0 + Board_9_10_0 = 1
inv : Rows_1_6 + Board_1_0_6 + Board_1_1_6 + Board_1_2_6 + Board_1_3_6 + Board_1_4_6 + Board_1_5_6 + Board_1_6_6 + Board_1_7_6 + Board_1_8_6 + Board_1_9_6 + Board_1_10_6 = 1
inv : Rows_10_3 + Board_10_0_3 + Board_10_1_3 + Board_10_2_3 + Board_10_3_3 + Board_10_4_3 + Board_10_5_3 + Board_10_6_3 + Board_10_7_3 + Board_10_8_3 + Board_10_9_3 + Board_10_10_3 = 1
inv : Board_0_6_0 + Board_1_6_0 + Board_2_6_0 + Board_3_6_0 + Board_4_6_0 + Board_5_6_0 + Board_6_6_0 + Board_7_6_0 + Board_8_6_0 + Board_9_6_0 + Board_10_6_0 + Columns_6_0 = 1
inv : Board_0_3_0 + Board_0_3_1 + Board_0_3_2 + Board_0_3_3 + Board_0_3_4 + Board_0_3_5 + Board_0_3_6 + Board_0_3_7 + Board_0_3_8 + Board_0_3_9 + Board_0_3_10 + Cells_0_3 = 1
inv : Board_0_3_7 + Board_1_3_7 + Board_2_3_7 + Board_3_3_7 + Board_4_3_7 + Board_5_3_7 + Board_6_3_7 + Board_7_3_7 + Board_8_3_7 + Board_9_3_7 + Board_10_3_7 + Columns_3_7 = 1
inv : Rows_0_8 + Board_0_0_8 + Board_0_1_8 + Board_0_2_8 + Board_0_3_8 + Board_0_4_8 + Board_0_5_8 + Board_0_6_8 + Board_0_7_8 + Board_0_8_8 + Board_0_9_8 + Board_0_10_8 = 1
inv : Board_2_4_0 + Board_2_4_1 + Board_2_4_2 + Board_2_4_3 + Board_2_4_4 + Board_2_4_5 + Board_2_4_6 + Board_2_4_7 + Board_2_4_8 + Board_2_4_9 + Board_2_4_10 + Cells_2_4 = 1
inv : Board_4_10_0 + Board_4_10_1 + Board_4_10_2 + Board_4_10_3 + Board_4_10_4 + Board_4_10_5 + Board_4_10_6 + Board_4_10_7 + Board_4_10_8 + Board_4_10_9 + Board_4_10_10 + Cells_4_10 = 1
inv : Rows_7_10 + Board_7_0_10 + Board_7_1_10 + Board_7_2_10 + Board_7_3_10 + Board_7_4_10 + Board_7_5_10 + Board_7_6_10 + Board_7_7_10 + Board_7_8_10 + Board_7_9_10 + Board_7_10_10 = 1
inv : Board_0_0_3 + Board_1_0_3 + Board_2_0_3 + Board_3_0_3 + Board_4_0_3 + Board_5_0_3 + Board_6_0_3 + Board_7_0_3 + Board_8_0_3 + Board_9_0_3 + Board_10_0_3 + Columns_0_3 = 1
inv : Board_9_7_0 + Board_9_7_1 + Board_9_7_2 + Board_9_7_3 + Board_9_7_4 + Board_9_7_5 + Board_9_7_6 + Board_9_7_7 + Board_9_7_8 + Board_9_7_9 + Board_9_7_10 + Cells_9_7 = 1
inv : Board_10_6_0 + Board_10_6_1 + Board_10_6_2 + Board_10_6_3 + Board_10_6_4 + Board_10_6_5 + Board_10_6_6 + Board_10_6_7 + Board_10_6_8 + Board_10_6_9 + Board_10_6_10 + Cells_10_6 = 1
inv : Board_5_0_0 + Board_5_0_1 + Board_5_0_2 + Board_5_0_3 + Board_5_0_4 + Board_5_0_5 + Board_5_0_6 + Board_5_0_7 + Board_5_0_8 + Board_5_0_9 + Board_5_0_10 + Cells_5_0 = 1
inv : Board_0_8_9 + Board_1_8_9 + Board_2_8_9 + Board_3_8_9 + Board_4_8_9 + Board_5_8_9 + Board_6_8_9 + Board_7_8_9 + Board_8_8_9 + Board_9_8_9 + Board_10_8_9 + Columns_8_9 = 1
inv : Board_0_9_4 + Board_1_9_4 + Board_2_9_4 + Board_3_9_4 + Board_4_9_4 + Board_5_9_4 + Board_6_9_4 + Board_7_9_4 + Board_8_9_4 + Board_9_9_4 + Board_10_9_4 + Columns_9_4 = 1
inv : Rows_4_10 + Board_4_0_10 + Board_4_1_10 + Board_4_2_10 + Board_4_3_10 + Board_4_4_10 + Board_4_5_10 + Board_4_6_10 + Board_4_7_10 + Board_4_8_10 + Board_4_9_10 + Board_4_10_10 = 1
inv : Board_0_0_9 + Board_1_0_9 + Board_2_0_9 + Board_3_0_9 + Board_4_0_9 + Board_5_0_9 + Board_6_0_9 + Board_7_0_9 + Board_8_0_9 + Board_9_0_9 + Board_10_0_9 + Columns_0_9 = 1
inv : Board_2_3_0 + Board_2_3_1 + Board_2_3_2 + Board_2_3_3 + Board_2_3_4 + Board_2_3_5 + Board_2_3_6 + Board_2_3_7 + Board_2_3_8 + Board_2_3_9 + Board_2_3_10 + Cells_2_3 = 1
inv : Rows_9_4 + Board_9_0_4 + Board_9_1_4 + Board_9_2_4 + Board_9_3_4 + Board_9_4_4 + Board_9_5_4 + Board_9_6_4 + Board_9_7_4 + Board_9_8_4 + Board_9_9_4 + Board_9_10_4 = 1
inv : Rows_2_5 + Board_2_0_5 + Board_2_1_5 + Board_2_2_5 + Board_2_3_5 + Board_2_4_5 + Board_2_5_5 + Board_2_6_5 + Board_2_7_5 + Board_2_8_5 + Board_2_9_5 + Board_2_10_5 = 1
inv : Rows_0_4 + Board_0_0_4 + Board_0_1_4 + Board_0_2_4 + Board_0_3_4 + Board_0_4_4 + Board_0_5_4 + Board_0_6_4 + Board_0_7_4 + Board_0_8_4 + Board_0_9_4 + Board_0_10_4 = 1
inv : Board_0_4_0 + Board_0_4_1 + Board_0_4_2 + Board_0_4_3 + Board_0_4_4 + Board_0_4_5 + Board_0_4_6 + Board_0_4_7 + Board_0_4_8 + Board_0_4_9 + Board_0_4_10 + Cells_0_4 = 1
inv : Board_0_10_0 + Board_1_10_0 + Board_2_10_0 + Board_3_10_0 + Board_4_10_0 + Board_5_10_0 + Board_6_10_0 + Board_7_10_0 + Board_8_10_0 + Board_9_10_0 + Board_10_10_0 + Columns_10_0 = 1
inv : Board_0_1_9 + Board_1_1_9 + Board_2_1_9 + Board_3_1_9 + Board_4_1_9 + Board_5_1_9 + Board_6_1_9 + Board_7_1_9 + Board_8_1_9 + Board_9_1_9 + Board_10_1_9 + Columns_1_9 = 1
inv : Board_9_3_0 + Board_9_3_1 + Board_9_3_2 + Board_9_3_3 + Board_9_3_4 + Board_9_3_5 + Board_9_3_6 + Board_9_3_7 + Board_9_3_8 + Board_9_3_9 + Board_9_3_10 + Cells_9_3 = 1
inv : Rows_4_6 + Board_4_0_6 + Board_4_1_6 + Board_4_2_6 + Board_4_3_6 + Board_4_4_6 + Board_4_5_6 + Board_4_6_6 + Board_4_7_6 + Board_4_8_6 + Board_4_9_6 + Board_4_10_6 = 1
inv : Rows_7_3 + Board_7_0_3 + Board_7_1_3 + Board_7_2_3 + Board_7_3_3 + Board_7_4_3 + Board_7_5_3 + Board_7_6_3 + Board_7_7_3 + Board_7_8_3 + Board_7_9_3 + Board_7_10_3 = 1
inv : Board_8_3_0 + Board_8_3_1 + Board_8_3_2 + Board_8_3_3 + Board_8_3_4 + Board_8_3_5 + Board_8_3_6 + Board_8_3_7 + Board_8_3_8 + Board_8_3_9 + Board_8_3_10 + Cells_8_3 = 1
inv : Rows_8_8 + Board_8_0_8 + Board_8_1_8 + Board_8_2_8 + Board_8_3_8 + Board_8_4_8 + Board_8_5_8 + Board_8_6_8 + Board_8_7_8 + Board_8_8_8 + Board_8_9_8 + Board_8_10_8 = 1
inv : Rows_3_1 + Board_3_0_1 + Board_3_1_1 + Board_3_2_1 + Board_3_3_1 + Board_3_4_1 + Board_3_5_1 + Board_3_6_1 + Board_3_7_1 + Board_3_8_1 + Board_3_9_1 + Board_3_10_1 = 1
inv : Rows_6_7 + Board_6_0_7 + Board_6_1_7 + Board_6_2_7 + Board_6_3_7 + Board_6_4_7 + Board_6_5_7 + Board_6_6_7 + Board_6_7_7 + Board_6_8_7 + Board_6_9_7 + Board_6_10_7 = 1
inv : Rows_1_0 + Board_1_0_0 + Board_1_1_0 + Board_1_2_0 + Board_1_3_0 + Board_1_4_0 + Board_1_5_0 + Board_1_6_0 + Board_1_7_0 + Board_1_8_0 + Board_1_9_0 + Board_1_10_0 = 1
inv : Board_4_7_0 + Board_4_7_1 + Board_4_7_2 + Board_4_7_3 + Board_4_7_4 + Board_4_7_5 + Board_4_7_6 + Board_4_7_7 + Board_4_7_8 + Board_4_7_9 + Board_4_7_10 + Cells_4_7 = 1
inv : Rows_10_9 + Board_10_0_9 + Board_10_1_9 + Board_10_2_9 + Board_10_3_9 + Board_10_4_9 + Board_10_5_9 + Board_10_6_9 + Board_10_7_9 + Board_10_8_9 + Board_10_9_9 + Board_10_10_9 = 1
inv : Board_2_7_0 + Board_2_7_1 + Board_2_7_2 + Board_2_7_3 + Board_2_7_4 + Board_2_7_5 + Board_2_7_6 + Board_2_7_7 + Board_2_7_8 + Board_2_7_9 + Board_2_7_10 + Cells_2_7 = 1
inv : Rows_5_2 + Board_5_0_2 + Board_5_1_2 + Board_5_2_2 + Board_5_3_2 + Board_5_4_2 + Board_5_5_2 + Board_5_6_2 + Board_5_7_2 + Board_5_8_2 + Board_5_9_2 + Board_5_10_2 = 1
inv : Board_10_10_0 + Board_10_10_1 + Board_10_10_2 + Board_10_10_3 + Board_10_10_4 + Board_10_10_5 + Board_10_10_6 + Board_10_10_7 + Board_10_10_8 + Board_10_10_9 + Board_10_10_10 + Cells_10_10 = 1
inv : Board_3_7_0 + Board_3_7_1 + Board_3_7_2 + Board_3_7_3 + Board_3_7_4 + Board_3_7_5 + Board_3_7_6 + Board_3_7_7 + Board_3_7_8 + Board_3_7_9 + Board_3_7_10 + Cells_3_7 = 1
inv : Board_7_3_0 + Board_7_3_1 + Board_7_3_2 + Board_7_3_3 + Board_7_3_4 + Board_7_3_5 + Board_7_3_6 + Board_7_3_7 + Board_7_3_8 + Board_7_3_9 + Board_7_3_10 + Cells_7_3 = 1
inv : Board_0_0_0 + Board_0_0_1 + Board_0_0_2 + Board_0_0_3 + Board_0_0_4 + Board_0_0_5 + Board_0_0_6 + Board_0_0_7 + Board_0_0_8 + Board_0_0_9 + Board_0_0_10 + Cells_0_0 = 1
inv : Board_2_2_0 + Board_2_2_1 + Board_2_2_2 + Board_2_2_3 + Board_2_2_4 + Board_2_2_5 + Board_2_2_6 + Board_2_2_7 + Board_2_2_8 + Board_2_2_9 + Board_2_2_10 + Cells_2_2 = 1
inv : Board_9_2_0 + Board_9_2_1 + Board_9_2_2 + Board_9_2_3 + Board_9_2_4 + Board_9_2_5 + Board_9_2_6 + Board_9_2_7 + Board_9_2_8 + Board_9_2_9 + Board_9_2_10 + Cells_9_2 = 1
inv : Board_0_6_3 + Board_1_6_3 + Board_2_6_3 + Board_3_6_3 + Board_4_6_3 + Board_5_6_3 + Board_6_6_3 + Board_7_6_3 + Board_8_6_3 + Board_9_6_3 + Board_10_6_3 + Columns_6_3 = 1
inv : Board_0_2_10 + Board_1_2_10 + Board_2_2_10 + Board_3_2_10 + Board_4_2_10 + Board_5_2_10 + Board_6_2_10 + Board_7_2_10 + Board_8_2_10 + Board_9_2_10 + Board_10_2_10 + Columns_2_10 = 1
inv : Board_1_0_0 + Board_1_0_1 + Board_1_0_2 + Board_1_0_3 + Board_1_0_4 + Board_1_0_5 + Board_1_0_6 + Board_1_0_7 + Board_1_0_8 + Board_1_0_9 + Board_1_0_10 + Cells_1_0 = 1
inv : Rows_7_7 + Board_7_0_7 + Board_7_1_7 + Board_7_2_7 + Board_7_3_7 + Board_7_4_7 + Board_7_5_7 + Board_7_6_7 + Board_7_7_7 + Board_7_8_7 + Board_7_9_7 + Board_7_10_7 = 1
inv : Board_0_9_2 + Board_1_9_2 + Board_2_9_2 + Board_3_9_2 + Board_4_9_2 + Board_5_9_2 + Board_6_9_2 + Board_7_9_2 + Board_8_9_2 + Board_9_9_2 + Board_10_9_2 + Columns_9_2 = 1
inv : Rows_9_3 + Board_9_0_3 + Board_9_1_3 + Board_9_2_3 + Board_9_3_3 + Board_9_4_3 + Board_9_5_3 + Board_9_6_3 + Board_9_7_3 + Board_9_8_3 + Board_9_9_3 + Board_9_10_3 = 1
inv : Board_8_0_0 + Board_8_0_1 + Board_8_0_2 + Board_8_0_3 + Board_8_0_4 + Board_8_0_5 + Board_8_0_6 + Board_8_0_7 + Board_8_0_8 + Board_8_0_9 + Board_8_0_10 + Cells_8_0 = 1
inv : Board_3_10_0 + Board_3_10_1 + Board_3_10_2 + Board_3_10_3 + Board_3_10_4 + Board_3_10_5 + Board_3_10_6 + Board_3_10_7 + Board_3_10_8 + Board_3_10_9 + Board_3_10_10 + Cells_3_10 = 1
inv : Board_7_5_0 + Board_7_5_1 + Board_7_5_2 + Board_7_5_3 + Board_7_5_4 + Board_7_5_5 + Board_7_5_6 + Board_7_5_7 + Board_7_5_8 + Board_7_5_9 + Board_7_5_10 + Cells_7_5 = 1
inv : Rows_6_3 + Board_6_0_3 + Board_6_1_3 + Board_6_2_3 + Board_6_3_3 + Board_6_4_3 + Board_6_5_3 + Board_6_6_3 + Board_6_7_3 + Board_6_8_3 + Board_6_9_3 + Board_6_10_3 = 1
inv : Rows_0_5 + Board_0_0_5 + Board_0_1_5 + Board_0_2_5 + Board_0_3_5 + Board_0_4_5 + Board_0_5_5 + Board_0_6_5 + Board_0_7_5 + Board_0_8_5 + Board_0_9_5 + Board_0_10_5 = 1
inv : Rows_10_0 + Board_10_0_0 + Board_10_1_0 + Board_10_2_0 + Board_10_3_0 + Board_10_4_0 + Board_10_5_0 + Board_10_6_0 + Board_10_7_0 + Board_10_8_0 + Board_10_9_0 + Board_10_10_0 = 1
inv : Rows_3_5 + Board_3_0_5 + Board_3_1_5 + Board_3_2_5 + Board_3_3_5 + Board_3_4_5 + Board_3_5_5 + Board_3_6_5 + Board_3_7_5 + Board_3_8_5 + Board_3_9_5 + Board_3_10_5 = 1
inv : Board_0_0_10 + Board_1_0_10 + Board_2_0_10 + Board_3_0_10 + Board_4_0_10 + Board_5_0_10 + Board_6_0_10 + Board_7_0_10 + Board_8_0_10 + Board_9_0_10 + Board_10_0_10 + Columns_0_10 = 1
inv : Board_9_8_0 + Board_9_8_1 + Board_9_8_2 + Board_9_8_3 + Board_9_8_4 + Board_9_8_5 + Board_9_8_6 + Board_9_8_7 + Board_9_8_8 + Board_9_8_9 + Board_9_8_10 + Cells_9_8 = 1
inv : Board_0_10_6 + Board_1_10_6 + Board_2_10_6 + Board_3_10_6 + Board_4_10_6 + Board_5_10_6 + Board_6_10_6 + Board_7_10_6 + Board_8_10_6 + Board_9_10_6 + Board_10_10_6 + Columns_10_6 = 1
inv : Board_0_8_3 + Board_1_8_3 + Board_2_8_3 + Board_3_8_3 + Board_4_8_3 + Board_5_8_3 + Board_6_8_3 + Board_7_8_3 + Board_8_8_3 + Board_9_8_3 + Board_10_8_3 + Columns_8_3 = 1
inv : Board_0_7_2 + Board_1_7_2 + Board_2_7_2 + Board_3_7_2 + Board_4_7_2 + Board_5_7_2 + Board_6_7_2 + Board_7_7_2 + Board_8_7_2 + Board_9_7_2 + Board_10_7_2 + Columns_7_2 = 1
inv : Rows_10_5 + Board_10_0_5 + Board_10_1_5 + Board_10_2_5 + Board_10_3_5 + Board_10_4_5 + Board_10_5_5 + Board_10_6_5 + Board_10_7_5 + Board_10_8_5 + Board_10_9_5 + Board_10_10_5 = 1
inv : Board_6_10_0 + Board_6_10_1 + Board_6_10_2 + Board_6_10_3 + Board_6_10_4 + Board_6_10_5 + Board_6_10_6 + Board_6_10_7 + Board_6_10_8 + Board_6_10_9 + Board_6_10_10 + Cells_6_10 = 1
inv : Board_0_5_0 + Board_0_5_1 + Board_0_5_2 + Board_0_5_3 + Board_0_5_4 + Board_0_5_5 + Board_0_5_6 + Board_0_5_7 + Board_0_5_8 + Board_0_5_9 + Board_0_5_10 + Cells_0_5 = 1
inv : Rows_3_10 + Board_3_0_10 + Board_3_1_10 + Board_3_2_10 + Board_3_3_10 + Board_3_4_10 + Board_3_5_10 + Board_3_6_10 + Board_3_7_10 + Board_3_8_10 + Board_3_9_10 + Board_3_10_10 = 1
inv : Board_0_5_2 + Board_1_5_2 + Board_2_5_2 + Board_3_5_2 + Board_4_5_2 + Board_5_5_2 + Board_6_5_2 + Board_7_5_2 + Board_8_5_2 + Board_9_5_2 + Board_10_5_2 + Columns_5_2 = 1
inv : Rows_1_7 + Board_1_0_7 + Board_1_1_7 + Board_1_2_7 + Board_1_3_7 + Board_1_4_7 + Board_1_5_7 + Board_1_6_7 + Board_1_7_7 + Board_1_8_7 + Board_1_9_7 + Board_1_10_7 = 1
inv : Rows_8_1 + Board_8_0_1 + Board_8_1_1 + Board_8_2_1 + Board_8_3_1 + Board_8_4_1 + Board_8_5_1 + Board_8_6_1 + Board_8_7_1 + Board_8_8_1 + Board_8_9_1 + Board_8_10_1 = 1
inv : Board_5_2_0 + Board_5_2_1 + Board_5_2_2 + Board_5_2_3 + Board_5_2_4 + Board_5_2_5 + Board_5_2_6 + Board_5_2_7 + Board_5_2_8 + Board_5_2_9 + Board_5_2_10 + Cells_5_2 = 1
inv : Rows_5_9 + Board_5_0_9 + Board_5_1_9 + Board_5_2_9 + Board_5_3_9 + Board_5_4_9 + Board_5_5_9 + Board_5_6_9 + Board_5_7_9 + Board_5_8_9 + Board_5_9_9 + Board_5_10_9 = 1
inv : Board_6_2_0 + Board_6_2_1 + Board_6_2_2 + Board_6_2_3 + Board_6_2_4 + Board_6_2_5 + Board_6_2_6 + Board_6_2_7 + Board_6_2_8 + Board_6_2_9 + Board_6_2_10 + Cells_6_2 = 1
inv : Board_5_8_0 + Board_5_8_1 + Board_5_8_2 + Board_5_8_3 + Board_5_8_4 + Board_5_8_5 + Board_5_8_6 + Board_5_8_7 + Board_5_8_8 + Board_5_8_9 + Board_5_8_10 + Cells_5_8 = 1
inv : Board_0_2_3 + Board_1_2_3 + Board_2_2_3 + Board_3_2_3 + Board_4_2_3 + Board_5_2_3 + Board_6_2_3 + Board_7_2_3 + Board_8_2_3 + Board_9_2_3 + Board_10_2_3 + Columns_2_3 = 1
inv : Board_0_7_7 + Board_1_7_7 + Board_2_7_7 + Board_3_7_7 + Board_4_7_7 + Board_5_7_7 + Board_6_7_7 + Board_7_7_7 + Board_8_7_7 + Board_9_7_7 + Board_10_7_7 + Columns_7_7 = 1
inv : Board_0_4_3 + Board_1_4_3 + Board_2_4_3 + Board_3_4_3 + Board_4_4_3 + Board_5_4_3 + Board_6_4_3 + Board_7_4_3 + Board_8_4_3 + Board_9_4_3 + Board_10_4_3 + Columns_4_3 = 1
inv : Board_0_3_2 + Board_1_3_2 + Board_2_3_2 + Board_3_3_2 + Board_4_3_2 + Board_5_3_2 + Board_6_3_2 + Board_7_3_2 + Board_8_3_2 + Board_9_3_2 + Board_10_3_2 + Columns_3_2 = 1
inv : Board_1_8_0 + Board_1_8_1 + Board_1_8_2 + Board_1_8_3 + Board_1_8_4 + Board_1_8_5 + Board_1_8_6 + Board_1_8_7 + Board_1_8_8 + Board_1_8_9 + Board_1_8_10 + Cells_1_8 = 1
inv : Board_0_8_6 + Board_1_8_6 + Board_2_8_6 + Board_3_8_6 + Board_4_8_6 + Board_5_8_6 + Board_6_8_6 + Board_7_8_6 + Board_8_8_6 + Board_9_8_6 + Board_10_8_6 + Columns_8_6 = 1
inv : Board_0_9_7 + Board_1_9_7 + Board_2_9_7 + Board_3_9_7 + Board_4_9_7 + Board_5_9_7 + Board_6_9_7 + Board_7_9_7 + Board_8_9_7 + Board_9_9_7 + Board_10_9_7 + Columns_9_7 = 1
inv : Board_0_10_0 + Board_0_10_1 + Board_0_10_2 + Board_0_10_3 + Board_0_10_4 + Board_0_10_5 + Board_0_10_6 + Board_0_10_7 + Board_0_10_8 + Board_0_10_9 + Board_0_10_10 + Cells_0_10 = 1
inv : Board_2_8_0 + Board_2_8_1 + Board_2_8_2 + Board_2_8_3 + Board_2_8_4 + Board_2_8_5 + Board_2_8_6 + Board_2_8_7 + Board_2_8_8 + Board_2_8_9 + Board_2_8_10 + Cells_2_8 = 1
inv : Rows_2_1 + Board_2_0_1 + Board_2_1_1 + Board_2_2_1 + Board_2_3_1 + Board_2_4_1 + Board_2_5_1 + Board_2_6_1 + Board_2_7_1 + Board_2_8_1 + Board_2_9_1 + Board_2_10_1 = 1
inv : Board_0_5_6 + Board_1_5_6 + Board_2_5_6 + Board_3_5_6 + Board_4_5_6 + Board_5_5_6 + Board_6_5_6 + Board_7_5_6 + Board_8_5_6 + Board_9_5_6 + Board_10_5_6 + Columns_5_6 = 1
inv : Board_1_5_0 + Board_1_5_1 + Board_1_5_2 + Board_1_5_3 + Board_1_5_4 + Board_1_5_5 + Board_1_5_6 + Board_1_5_7 + Board_1_5_8 + Board_1_5_9 + Board_1_5_10 + Cells_1_5 = 1
inv : Board_8_5_0 + Board_8_5_1 + Board_8_5_2 + Board_8_5_3 + Board_8_5_4 + Board_8_5_5 + Board_8_5_6 + Board_8_5_7 + Board_8_5_8 + Board_8_5_9 + Board_8_5_10 + Cells_8_5 = 1
inv : Board_0_8_10 + Board_1_8_10 + Board_2_8_10 + Board_3_8_10 + Board_4_8_10 + Board_5_8_10 + Board_6_8_10 + Board_7_8_10 + Board_8_8_10 + Board_9_8_10 + Board_10_8_10 + Columns_8_10 = 1
inv : Rows_5_8 + Board_5_0_8 + Board_5_1_8 + Board_5_2_8 + Board_5_3_8 + Board_5_4_8 + Board_5_5_8 + Board_5_6_8 + Board_5_7_8 + Board_5_8_8 + Board_5_9_8 + Board_5_10_8 = 1
inv : Rows_7_4 + Board_7_0_4 + Board_7_1_4 + Board_7_2_4 + Board_7_3_4 + Board_7_4_4 + Board_7_5_4 + Board_7_6_4 + Board_7_7_4 + Board_7_8_4 + Board_7_9_4 + Board_7_10_4 = 1
inv : Rows_3_2 + Board_3_0_2 + Board_3_1_2 + Board_3_2_2 + Board_3_3_2 + Board_3_4_2 + Board_3_5_2 + Board_3_6_2 + Board_3_7_2 + Board_3_8_2 + Board_3_9_2 + Board_3_10_2 = 1
inv : Rows_4_0 + Board_4_0_0 + Board_4_1_0 + Board_4_2_0 + Board_4_3_0 + Board_4_4_0 + Board_4_5_0 + Board_4_6_0 + Board_4_7_0 + Board_4_8_0 + Board_4_9_0 + Board_4_10_0 = 1
inv : Board_0_1_2 + Board_1_1_2 + Board_2_1_2 + Board_3_1_2 + Board_4_1_2 + Board_5_1_2 + Board_6_1_2 + Board_7_1_2 + Board_8_1_2 + Board_9_1_2 + Board_10_1_2 + Columns_1_2 = 1
inv : Board_0_6_6 + Board_1_6_6 + Board_2_6_6 + Board_3_6_6 + Board_4_6_6 + Board_5_6_6 + Board_6_6_6 + Board_7_6_6 + Board_8_6_6 + Board_9_6_6 + Board_10_6_6 + Columns_6_6 = 1
inv : Board_1_2_0 + Board_1_2_1 + Board_1_2_2 + Board_1_2_3 + Board_1_2_4 + Board_1_2_5 + Board_1_2_6 + Board_1_2_7 + Board_1_2_8 + Board_1_2_9 + Board_1_2_10 + Cells_1_2 = 1
inv : Rows_6_6 + Board_6_0_6 + Board_6_1_6 + Board_6_2_6 + Board_6_3_6 + Board_6_4_6 + Board_6_5_6 + Board_6_6_6 + Board_6_7_6 + Board_6_8_6 + Board_6_9_6 + Board_6_10_6 = 1
inv : Board_0_7_10 + Board_1_7_10 + Board_2_7_10 + Board_3_7_10 + Board_4_7_10 + Board_5_7_10 + Board_6_7_10 + Board_7_7_10 + Board_8_7_10 + Board_9_7_10 + Board_10_7_10 + Columns_7_10 = 1
inv : Rows_9_10 + Board_9_0_10 + Board_9_1_10 + Board_9_2_10 + Board_9_3_10 + Board_9_4_10 + Board_9_5_10 + Board_9_6_10 + Board_9_7_10 + Board_9_8_10 + Board_9_9_10 + Board_9_10_10 = 1
inv : Rows_10_4 + Board_10_0_4 + Board_10_1_4 + Board_10_2_4 + Board_10_3_4 + Board_10_4_4 + Board_10_5_4 + Board_10_6_4 + Board_10_7_4 + Board_10_8_4 + Board_10_9_4 + Board_10_10_4 = 1
inv : Board_0_0_2 + Board_1_0_2 + Board_2_0_2 + Board_3_0_2 + Board_4_0_2 + Board_5_0_2 + Board_6_0_2 + Board_7_0_2 + Board_8_0_2 + Board_9_0_2 + Board_10_0_2 + Columns_0_2 = 1
inv : Board_0_10_10 + Board_1_10_10 + Board_2_10_10 + Board_3_10_10 + Board_4_10_10 + Board_5_10_10 + Board_6_10_10 + Board_7_10_10 + Board_8_10_10 + Board_9_10_10 + Board_10_10_10 + Columns_10_10 = 1
inv : Board_0_3_6 + Board_1_3_6 + Board_2_3_6 + Board_3_3_6 + Board_4_3_6 + Board_5_3_6 + Board_6_3_6 + Board_7_3_6 + Board_8_3_6 + Board_9_3_6 + Board_10_3_6 + Columns_3_6 = 1
inv : Board_6_8_0 + Board_6_8_1 + Board_6_8_2 + Board_6_8_3 + Board_6_8_4 + Board_6_8_5 + Board_6_8_6 + Board_6_8_7 + Board_6_8_8 + Board_6_8_9 + Board_6_8_10 + Cells_6_8 = 1
inv : Board_8_8_0 + Board_8_8_1 + Board_8_8_2 + Board_8_8_3 + Board_8_8_4 + Board_8_8_5 + Board_8_8_6 + Board_8_8_7 + Board_8_8_8 + Board_8_8_9 + Board_8_8_10 + Cells_8_8 = 1
inv : Rows_1_10 + Board_1_0_10 + Board_1_1_10 + Board_1_2_10 + Board_1_3_10 + Board_1_4_10 + Board_1_5_10 + Board_1_6_10 + Board_1_7_10 + Board_1_8_10 + Board_1_9_10 + Board_1_10_10 = 1
inv : Board_0_4_6 + Board_1_4_6 + Board_2_4_6 + Board_3_4_6 + Board_4_4_6 + Board_5_4_6 + Board_6_4_6 + Board_7_4_6 + Board_8_4_6 + Board_9_4_6 + Board_10_4_6 + Columns_4_6 = 1
inv : Board_10_5_0 + Board_10_5_1 + Board_10_5_2 + Board_10_5_3 + Board_10_5_4 + Board_10_5_5 + Board_10_5_6 + Board_10_5_7 + Board_10_5_8 + Board_10_5_9 + Board_10_5_10 + Cells_10_5 = 1
inv : Rows_2_4 + Board_2_0_4 + Board_2_1_4 + Board_2_2_4 + Board_2_3_4 + Board_2_4_4 + Board_2_5_4 + Board_2_6_4 + Board_2_7_4 + Board_2_8_4 + Board_2_9_4 + Board_2_10_4 = 1
inv : Board_0_9_10 + Board_1_9_10 + Board_2_9_10 + Board_3_9_10 + Board_4_9_10 + Board_5_9_10 + Board_6_9_10 + Board_7_9_10 + Board_8_9_10 + Board_9_9_10 + Board_10_9_10 + Columns_9_10 = 1
inv : Board_3_2_0 + Board_3_2_1 + Board_3_2_2 + Board_3_2_3 + Board_3_2_4 + Board_3_2_5 + Board_3_2_6 + Board_3_2_7 + Board_3_2_8 + Board_3_2_9 + Board_3_2_10 + Cells_3_2 = 1
inv : Board_0_5_10 + Board_1_5_10 + Board_2_5_10 + Board_3_5_10 + Board_4_5_10 + Board_5_5_10 + Board_6_5_10 + Board_7_5_10 + Board_8_5_10 + Board_9_5_10 + Board_10_5_10 + Columns_5_10 = 1
inv : Rows_6_10 + Board_6_0_10 + Board_6_1_10 + Board_6_2_10 + Board_6_3_10 + Board_6_4_10 + Board_6_5_10 + Board_6_6_10 + Board_6_7_10 + Board_6_8_10 + Board_6_9_10 + Board_6_10_10 = 1
inv : Board_4_5_0 + Board_4_5_1 + Board_4_5_2 + Board_4_5_3 + Board_4_5_4 + Board_4_5_5 + Board_4_5_6 + Board_4_5_7 + Board_4_5_8 + Board_4_5_9 + Board_4_5_10 + Cells_4_5 = 1
inv : Rows_0_9 + Board_0_0_9 + Board_0_1_9 + Board_0_2_9 + Board_0_3_9 + Board_0_4_9 + Board_0_5_9 + Board_0_6_9 + Board_0_7_9 + Board_0_8_9 + Board_0_9_9 + Board_0_10_9 = 1
inv : Board_0_1_6 + Board_1_1_6 + Board_2_1_6 + Board_3_1_6 + Board_4_1_6 + Board_5_1_6 + Board_6_1_6 + Board_7_1_6 + Board_8_1_6 + Board_9_1_6 + Board_10_1_6 + Columns_1_6 = 1
inv : Board_0_10_3 + Board_1_10_3 + Board_2_10_3 + Board_3_10_3 + Board_4_10_3 + Board_5_10_3 + Board_6_10_3 + Board_7_10_3 + Board_8_10_3 + Board_9_10_3 + Board_10_10_3 + Columns_10_3 = 1
inv : Rows_2_8 + Board_2_0_8 + Board_2_1_8 + Board_2_2_8 + Board_2_3_8 + Board_2_4_8 + Board_2_5_8 + Board_2_6_8 + Board_2_7_8 + Board_2_8_8 + Board_2_9_8 + Board_2_10_8 = 1
inv : Rows_8_9 + Board_8_0_9 + Board_8_1_9 + Board_8_2_9 + Board_8_3_9 + Board_8_4_9 + Board_8_5_9 + Board_8_6_9 + Board_8_7_9 + Board_8_8_9 + Board_8_9_9 + Board_8_10_9 = 1
inv : Rows_7_0 + Board_7_0_0 + Board_7_1_0 + Board_7_2_0 + Board_7_3_0 + Board_7_4_0 + Board_7_5_0 + Board_7_6_0 + Board_7_7_0 + Board_7_8_0 + Board_7_9_0 + Board_7_10_0 = 1
inv : Board_0_9_3 + Board_1_9_3 + Board_2_9_3 + Board_3_9_3 + Board_4_9_3 + Board_5_9_3 + Board_6_9_3 + Board_7_9_3 + Board_8_9_3 + Board_9_9_3 + Board_10_9_3 + Columns_9_3 = 1
inv : Board_10_8_0 + Board_10_8_1 + Board_10_8_2 + Board_10_8_3 + Board_10_8_4 + Board_10_8_5 + Board_10_8_6 + Board_10_8_7 + Board_10_8_8 + Board_10_8_9 + Board_10_8_10 + Cells_10_8 = 1
inv : Board_0_2_6 + Board_1_2_6 + Board_2_2_6 + Board_3_2_6 + Board_4_2_6 + Board_5_2_6 + Board_6_2_6 + Board_7_2_6 + Board_8_2_6 + Board_9_2_6 + Board_10_2_6 + Columns_2_6 = 1
inv : Rows_10_8 + Board_10_0_8 + Board_10_1_8 + Board_10_2_8 + Board_10_3_8 + Board_10_4_8 + Board_10_5_8 + Board_10_6_8 + Board_10_7_8 + Board_10_8_8 + Board_10_9_8 + Board_10_10_8 = 1
inv : Board_0_0_6 + Board_1_0_6 + Board_2_0_6 + Board_3_0_6 + Board_4_0_6 + Board_5_0_6 + Board_6_0_6 + Board_7_0_6 + Board_8_0_6 + Board_9_0_6 + Board_10_0_6 + Columns_0_6 = 1
inv : Rows_4_7 + Board_4_0_7 + Board_4_1_7 + Board_4_2_7 + Board_4_3_7 + Board_4_4_7 + Board_4_5_7 + Board_4_6_7 + Board_4_7_7 + Board_4_8_7 + Board_4_9_7 + Board_4_10_7 = 1
inv : Rows_5_1 + Board_5_0_1 + Board_5_1_1 + Board_5_2_1 + Board_5_3_1 + Board_5_4_1 + Board_5_5_1 + Board_5_6_1 + Board_5_7_1 + Board_5_8_1 + Board_5_9_1 + Board_5_10_1 = 1
inv : Board_6_5_0 + Board_6_5_1 + Board_6_5_2 + Board_6_5_3 + Board_6_5_4 + Board_6_5_5 + Board_6_5_6 + Board_6_5_7 + Board_6_5_8 + Board_6_5_9 + Board_6_5_10 + Cells_6_5 = 1
inv : Board_0_2_0 + Board_0_2_1 + Board_0_2_2 + Board_0_2_3 + Board_0_2_4 + Board_0_2_5 + Board_0_2_6 + Board_0_2_7 + Board_0_2_8 + Board_0_2_9 + Board_0_2_10 + Cells_0_2 = 1
inv : Board_3_5_0 + Board_3_5_1 + Board_3_5_2 + Board_3_5_3 + Board_3_5_4 + Board_3_5_5 + Board_3_5_6 + Board_3_5_7 + Board_3_5_8 + Board_3_5_9 + Board_3_5_10 + Cells_3_5 = 1
inv : Board_0_4_10 + Board_1_4_10 + Board_2_4_10 + Board_3_4_10 + Board_4_4_10 + Board_5_4_10 + Board_6_4_10 + Board_7_4_10 + Board_8_4_10 + Board_9_4_10 + Board_10_4_10 + Columns_4_10 = 1
inv : Board_0_6_10 + Board_1_6_10 + Board_2_6_10 + Board_3_6_10 + Board_4_6_10 + Board_5_6_10 + Board_6_6_10 + Board_7_6_10 + Board_8_6_10 + Board_9_6_10 + Board_10_6_10 + Columns_6_10 = 1
inv : Board_5_5_0 + Board_5_5_1 + Board_5_5_2 + Board_5_5_3 + Board_5_5_4 + Board_5_5_5 + Board_5_5_6 + Board_5_5_7 + Board_5_5_8 + Board_5_5_9 + Board_5_5_10 + Cells_5_5 = 1
Total of 363 invariants.
[2020-05-26 11:11:49] [INFO ] Computed 363 place invariants in 36 ms
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202005100927/bin/louvain-linux64, /tmp/graph14363261792420297893.bin, -l, -1, -v, -w, /tmp/graph14363261792420297893.weights, -q, 0, -e, 0.001], workingDir=null]
[2020-05-26 11:11:49] [INFO ] Decomposing Gal with order
[2020-05-26 11:11:49] [INFO ] Rewriting arrays to variables to allow decomposition.
[2020-05-26 11:11:51] [INFO ] Proved 1694 variables to be positive in 1779 ms
[2020-05-26 11:11:51] [INFO ] Computing symmetric may disable matrix : 1331 transitions.
[2020-05-26 11:11:51] [INFO ] Computation of disable matrix completed :0/1331 took 0 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2020-05-26 11:11:51] [INFO ] Computation of Complete disable matrix. took 185 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2020-05-26 11:11:51] [INFO ] Computing symmetric may enable matrix : 1331 transitions.
[2020-05-26 11:11:51] [INFO ] Computation of Complete enable matrix. took 94 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2020-05-26 11:11:51] [INFO ] Removed a total of 2299 redundant transitions.
[2020-05-26 11:11:53] [INFO ] Flatten gal took : 1517 ms
[2020-05-26 11:11:55] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 22 ms.
[2020-05-26 11:11:55] [INFO ] Time to serialize gal into /home/mcc/execution/LTLFireability.pnml.gal : 51 ms
[2020-05-26 11:11:55] [INFO ] Time to serialize properties into /home/mcc/execution/LTLFireability.ltl : 124 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/LTLFireability.pnml.gal, -t, CGAL, -LTL, /home/mcc/execution/LTLFireability.ltl, -c, -stutter-deadlock], 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/LTLFireability.pnml.gal -t CGAL -LTL /home/mcc/execution/LTLFireability.ltl -c -stutter-deadlock
Read 11 LTL properties
Checking formula 0 : !((((!(("(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((i0.u47.Rows_4_7>=1)&&(i14.u144.Cells_4_7>=1))&&(i0.u335.Columns_7_7>=1))||(((i6.u98.Rows_9_5>=1)&&(i6.u252.Cells_9_3>=1))&&(i8.u296.Columns_3_5>=1)))||(((i16.u64.Rows_6_3>=1)&&(i18.u226.Cells_6_8>=1))&&(i18.u340.Columns_8_3>=1)))||(((i8.u5.Rows_0_6>=1)&&(i12.u166.Cells_0_9>=1))&&(i12.u349.Columns_9_6>=1)))||(((i12.u22.Rows_2_1>=1)&&(i9.u181.Cells_2_2>=1))&&(i9.u284.Columns_2_1>=1)))||(((i2.u39.Rows_3_10>=1)&&(i2.u198.Cells_3_9>=1))&&(i12.u352.Columns_9_10>=1)))||(((i17.u23.Rows_2_2>=1)&&(i7.u188.Cells_2_10>=1))&&(i17.u355.Columns_10_2>=1)))||(((i12.u106.Rows_10_2>=1)&&(i11.i1.u259.Cells_10_1>=1))&&(i11.i1.u275.Columns_1_2>=1)))||(((i19.u4.Rows_0_5>=1)&&(i11.i1.u158.Cells_0_1>=1))&&(i11.i1.u278.Columns_1_5>=1)))||(((i10.u57.Rows_5_6>=1)&&(i10.u218.Cells_5_10>=1))&&(i17.u358.Columns_10_6>=1)))||(((i6.u100.Rows_9_7>=1)&&(i6.u257.Cells_9_8>=1))&&(i18.u342.Columns_8_7>=1)))||(((i17.u62.Rows_6_1>=1)&&(i8.u147.Cells_6_3>=1))&&(i8.u293.Columns_3_1>=1)))||(((i11.i0.u81.Rows_7_10>=1)&&(i17.u239.Cells_7_10>=1))&&(i11.i0.u362.Columns_10_10>=1)))||(((i10.u56.Rows_5_5>=1)&&(i9.u146.Cells_5_2>=1))&&(i9.u286.Columns_2_5>=1)))||(((i14.u107.Rows_10_3>=1)&&(i12.u265.Cells_10_9>=1))&&(i12.u347.Columns_9_3>=1)))||(((i2.u37.Rows_3_8>=1)&&(i2.u193.Cells_3_4>=1))&&(i7.u308.Columns_4_8>=1)))||(((i15.u21.Rows_2_0>=1)&&(i3.i1.u184.Cells_2_5>=1))&&(i15.u311.Columns_5_0>=1)))||(((i4.u148.Rows_7_9>=1)&&(i9.u231.Cells_7_2>=1))&&(i9.u290.Columns_2_9>=1)))||(((i0.u6.Rows_0_7>=1)&&(i16.u163.Cells_0_6>=1))&&(i0.u139.Columns_6_7>=1)))||(((i4.u30.Rows_2_9>=1)&&(i11.i1.u180.Cells_2_1>=1))&&(i4.u119.Columns_1_9>=1)))||(((i7.u90.Rows_8_8>=1)&&(i13.u243.Cells_8_5>=1))&&(i7.u318.Columns_5_8>=1)))||(((i15.u72.Rows_7_0>=1)&&(i16.u235.Cells_7_6>=1))&&(i16.u320.Columns_6_0>=1)))||(((i6.u99.Rows_9_6>=1)&&(i6.u249.Cells_9_0>=1))&&(i13.u115.Columns_0_6>=1)))||(((i12.u46.Rows_4_6>=1)&&(i17.u208.Cells_4_10>=1))&&(i17.u358.Columns_10_6>=1)))||(((i12.u65.Rows_6_4>=1)&&(i17.u223.Cells_6_5>=1))&&(i3.i1.u315.Columns_5_4>=1)))||(((i6.u97.Rows_9_4>=1)&&(i6.u255.Cells_9_6>=1))&&(i16.u322.Columns_6_4>=1)))||(((i13.u82.Rows_8_0>=1)&&(i13.u244.Cells_8_6>=1))&&(i16.u320.Columns_6_0>=1)))||(((i11.i0.u31.Rows_2_10>=1)&&(i12.u187.Cells_2_9>=1))&&(i12.u352.Columns_9_10>=1)))||(((i7.u24.Rows_2_3>=1)&&(i14.u185.Cells_2_7>=1))&&(i14.u331.Columns_7_3>=1)))||(((i7.u80.Rows_7_8>=1)&&(i3.i1.u234.Cells_7_5>=1))&&(i7.u318.Columns_5_8>=1)))||(((i13.u92.Rows_8_10>=1)&&(i13.u248.Cells_8_10>=1))&&(i11.i0.u362.Columns_10_10>=1)))||(((i16.u75.Rows_7_3>=1)&&(i18.u237.Cells_7_8>=1))&&(i18.u340.Columns_8_3>=1)))||(((i13.u87.Rows_8_5>=1)&&(i8.u150.Cells_8_3>=1))&&(i8.u296.Columns_3_5>=1)))||(((i2.u32.Rows_3_0>=1)&&(i2.u194.Cells_3_5>=1))&&(i15.u311.Columns_5_0>=1)))||(((i7.u7.Rows_0_8>=1)&&(i8.u160.Cells_0_3>=1))&&(i7.u298.Columns_3_8>=1)))||(((i1.u14.Rows_1_4>=1)&&(i1.u172.Cells_1_4>=1))&&(i5.u304.Columns_4_4>=1)))||(((i4.u70.Rows_6_9>=1)&&(i9.u221.Cells_6_2>=1))&&(i9.u290.Columns_2_9>=1)))||(((i4.u49.Rows_4_9>=1)&&(i11.i1.u201.Cells_4_1>=1))&&(i4.u119.Columns_1_9>=1)))||(((i5.u73.Rows_7_1>=1)&&(i8.u232.Cells_7_3>=1))&&(i8.u293.Columns_3_1>=1)))||(((i7.u29.Rows_2_8>=1)&&(i5.u183.Cells_2_4>=1))&&(i7.u308.Columns_4_8>=1)))||(((i0.u89.Rows_8_7>=1)&&(i18.u246.Cells_8_8>=1))&&(i18.u342.Columns_8_7>=1)))||(((i2.u140.Rows_3_2>=1)&&(i2.u199.Cells_3_10>=1))&&(i17.u355.Columns_10_2>=1)))||(((i2.u36.Rows_3_7>=1)&&(i2.u196.Cells_3_7>=1))&&(i0.u335.Columns_7_7>=1)))||(((i17.u63.Rows_6_2>=1)&&(i19.u219.Cells_6_0>=1))&&(i17.u114.Columns_0_2>=1)))||(((i2.u35.Rows_3_5>=1)&&(i9.u191.Cells_3_2>=1))&&(i9.u286.Columns_2_5>=1)))||(((i16.u154.Rows_10_6>=1)&&(i0.u258.Cells_10_0>=1))&&(i13.u115.Colu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Formula 0 simplified : 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built 241 ordering constraints for composite.
built 102 ordering constraints for composite.
built 92 ordering constraints for composite.
built 89 ordering constraints for composite.
built 75 ordering constraints for composite.
built 73 ordering constraints for composite.
built 105 ordering constraints for composite.
built 29 ordering constraints for composite.
built 81 ordering constraints for composite.
built 84 ordering constraints for composite.
built 105 ordering constraints for composite.
built 86 ordering constraints for composite.
built 101 ordering constraints for composite.
built 72 ordering constraints for composite.
built 9 ordering constraints for composite.
built 67 ordering constraints for composite.
built 84 ordering constraints for composite.
built 86 ordering constraints for composite.
built 69 ordering constraints for composite.
built 85 ordering constraints for composite.
built 30 ordering constraints for composite.
built 83 ordering constraints for composite.
built 93 ordering constraints for composite.
built 84 ordering constraints for composite.
built 87 ordering constraints for composite.
[2020-05-26 11:13:15] [INFO ] Computing symmetric co enabling matrix : 1331 transitions.
[2020-05-26 11:13:16] [INFO ] Computation of co-enabling matrix(0/1331) took 611 ms. Total solver calls (SAT/UNSAT): 30(30/0)
[2020-05-26 11:13:19] [INFO ] Computation of co-enabling matrix(15/1331) took 3635 ms. Total solver calls (SAT/UNSAT): 410(410/0)
[2020-05-26 11:13:22] [INFO ] Computation of co-enabling matrix(25/1331) took 6724 ms. Total solver calls (SAT/UNSAT): 645(645/0)
[2020-05-26 11:13:25] [INFO ] Computation of co-enabling matrix(35/1331) took 9774 ms. Total solver calls (SAT/UNSAT): 870(870/0)
[2020-05-26 11:13:28] [INFO ] Computation of co-enabling matrix(44/1331) took 13179 ms. Total solver calls (SAT/UNSAT): 1060(1060/0)
[2020-05-26 11:13:32] [INFO ] Computation of co-enabling matrix(50/1331) took 16507 ms. Total solver calls (SAT/UNSAT): 1195(1195/0)
[2020-05-26 11:13:35] [INFO ] Computation of co-enabling matrix(60/1331) took 19846 ms. Total solver calls (SAT/UNSAT): 1400(1400/0)
[2020-05-26 11:13:38] [INFO ] Computation of co-enabling matrix(74/1331) took 22953 ms. Total solver calls (SAT/UNSAT): 1665(1665/0)
[2020-05-26 11:13:41] [INFO ] Computation of co-enabling matrix(91/1331) took 25970 ms. Total solver calls (SAT/UNSAT): 1974(1974/0)
[2020-05-26 11:13:44] [INFO ] Computation of co-enabling matrix(104/1331) took 28970 ms. Total solver calls (SAT/UNSAT): 2190(2190/0)
[2020-05-26 11:13:47] [INFO ] Computation of co-enabling matrix(120/1331) took 32111 ms. Total solver calls (SAT/UNSAT): 2420(2420/0)
[2020-05-26 11:13:51] [INFO ] Computation of co-enabling matrix(130/1331) took 35452 ms. Total solver calls (SAT/UNSAT): 2665(2665/0)
[2020-05-26 11:13:54] [INFO ] Computation of co-enabling matrix(147/1331) took 38566 ms. Total solver calls (SAT/UNSAT): 3062(3062/0)
[2020-05-26 11:13:57] [INFO ] Computation of co-enabling matrix(162/1331) took 41930 ms. Total solver calls (SAT/UNSAT): 3377(3377/0)
[2020-05-26 11:14:00] [INFO ] Computation of co-enabling matrix(170/1331) took 44990 ms. Total solver calls (SAT/UNSAT): 3545(3545/0)
[2020-05-26 11:14:04] [INFO ] Computation of co-enabling matrix(177/1331) took 48243 ms. Total solver calls (SAT/UNSAT): 3677(3677/0)
[2020-05-26 11:14:07] [INFO ] Computation of co-enabling matrix(185/1331) took 51281 ms. Total solver calls (SAT/UNSAT): 3825(3825/0)
[2020-05-26 11:14:10] [INFO ] Computation of co-enabling matrix(194/1331) took 54459 ms. Total solver calls (SAT/UNSAT): 3995(3995/0)
[2020-05-26 11:14:13] [INFO ] Computation of co-enabling matrix(209/1331) took 57567 ms. Total solver calls (SAT/UNSAT): 4245(4245/0)
[2020-05-26 11:14:16] [INFO ] Computation of co-enabling matrix(231/1331) took 60921 ms. Total solver calls (SAT/UNSAT): 4584(4584/0)
[2020-05-26 11:14:19] [INFO ] Computation of co-enabling matrix(252/1331) took 63922 ms. Total solver calls (SAT/UNSAT): 4972(4972/0)
[2020-05-26 11:14:22] [INFO ] Computation of co-enabling matrix(259/1331) took 66945 ms. Total solver calls (SAT/UNSAT): 5140(5140/0)
[2020-05-26 11:14:25] [INFO ] Computation of co-enabling matrix(267/1331) took 70054 ms. Total solver calls (SAT/UNSAT): 5312(5312/0)
[2020-05-26 11:14:29] [INFO ] Computation of co-enabling matrix(282/1331) took 73374 ms. Total solver calls (SAT/UNSAT): 5617(5617/0)
[2020-05-26 11:14:32] [INFO ] Computation of co-enabling matrix(289/1331) took 76507 ms. Total solver calls (SAT/UNSAT): 5755(5755/0)
[2020-05-26 11:14:35] [INFO ] Computation of co-enabling matrix(298/1331) took 79582 ms. Total solver calls (SAT/UNSAT): 5919(5919/0)
[2020-05-26 11:14:38] [INFO ] Computation of co-enabling matrix(312/1331) took 82699 ms. Total solver calls (SAT/UNSAT): 6172(6172/0)
[2020-05-26 11:14:41] [INFO ] Computation of co-enabling matrix(321/1331) took 85827 ms. Total solver calls (SAT/UNSAT): 6319(6319/0)
[2020-05-26 11:14:44] [INFO ] Computation of co-enabling matrix(331/1331) took 88859 ms. Total solver calls (SAT/UNSAT): 6474(6474/0)
[2020-05-26 11:14:47] [INFO ] Computation of co-enabling matrix(342/1331) took 92058 ms. Total solver calls (SAT/UNSAT): 6637(6637/0)
[2020-05-26 11:14:50] [INFO ] Computation of co-enabling matrix(352/1331) took 95159 ms. Total solver calls (SAT/UNSAT): 6772(6772/0)
[2020-05-26 11:14:54] [INFO ] Computation of co-enabling matrix(363/1331) took 98207 ms. Total solver calls (SAT/UNSAT): 6924(6924/0)
[2020-05-26 11:14:57] [INFO ] Computation of co-enabling matrix(373/1331) took 101271 ms. Total solver calls (SAT/UNSAT): 7139(7139/0)
[2020-05-26 11:15:00] [INFO ] Computation of co-enabling matrix(380/1331) took 104602 ms. Total solver calls (SAT/UNSAT): 7300(7300/0)
[2020-05-26 11:15:03] [INFO ] Computation of co-enabling matrix(388/1331) took 107741 ms. Total solver calls (SAT/UNSAT): 7464(7464/0)
[2020-05-26 11:15:06] [INFO ] Computation of co-enabling matrix(396/1331) took 111035 ms. Total solver calls (SAT/UNSAT): 7614(7614/0)
[2020-05-26 11:15:09] [INFO ] Computation of co-enabling matrix(404/1331) took 114180 ms. Total solver calls (SAT/UNSAT): 7770(7770/0)
[2020-05-26 11:15:13] [INFO ] Computation of co-enabling matrix(411/1331) took 117245 ms. Total solver calls (SAT/UNSAT): 7904(7904/0)
[2020-05-26 11:15:16] [INFO ] Computation of co-enabling matrix(420/1331) took 120481 ms. Total solver calls (SAT/UNSAT): 8060(8060/0)
[2020-05-26 11:15:19] [INFO ] Computation of co-enabling matrix(429/1331) took 123745 ms. Total solver calls (SAT/UNSAT): 8205(8205/0)
[2020-05-26 11:15:22] [INFO ] Computation of co-enabling matrix(438/1331) took 126763 ms. Total solver calls (SAT/UNSAT): 8349(8349/0)
[2020-05-26 11:15:25] [INFO ] Computation of co-enabling matrix(448/1331) took 130028 ms. Total solver calls (SAT/UNSAT): 8504(8504/0)
[2020-05-26 11:15:28] [INFO ] Computation of co-enabling matrix(459/1331) took 133057 ms. Total solver calls (SAT/UNSAT): 8660(8660/0)
[2020-05-26 11:15:32] [INFO ] Computation of co-enabling matrix(468/1331) took 136215 ms. Total solver calls (SAT/UNSAT): 8784(8784/0)
[2020-05-26 11:15:35] [INFO ] Computation of co-enabling matrix(482/1331) took 139234 ms. Total solver calls (SAT/UNSAT): 8947(8947/0)
[2020-05-26 11:15:38] [INFO ] Computation of co-enabling matrix(491/1331) took 142372 ms. Total solver calls (SAT/UNSAT): 9134(9134/0)
[2020-05-26 11:15:41] [INFO ] Computation of co-enabling matrix(507/1331) took 145392 ms. Total solver calls (SAT/UNSAT): 9452(9452/0)
[2020-05-26 11:15:44] [INFO ] Computation of co-enabling matrix(519/1331) took 148759 ms. Total solver calls (SAT/UNSAT): 9680(9680/0)
[2020-05-26 11:15:47] [INFO ] Computation of co-enabling matrix(528/1331) took 151881 ms. Total solver calls (SAT/UNSAT): 9834(9834/0)
[2020-05-26 11:15:50] [INFO ] Computation of co-enabling matrix(538/1331) took 154998 ms. Total solver calls (SAT/UNSAT): 9999(9999/0)
[2020-05-26 11:15:54] [INFO ] Computation of co-enabling matrix(550/1331) took 158281 ms. Total solver calls (SAT/UNSAT): 10195(10195/0)
[2020-05-26 11:15:57] [INFO ] Computation of co-enabling matrix(560/1331) took 161409 ms. Total solver calls (SAT/UNSAT): 10340(10340/0)
[2020-05-26 11:16:00] [INFO ] Computation of co-enabling matrix(583/1331) took 164512 ms. Total solver calls (SAT/UNSAT): 10654(10654/0)
[2020-05-26 11:16:03] [INFO ] Computation of co-enabling matrix(609/1331) took 167550 ms. Total solver calls (SAT/UNSAT): 11005(11005/0)
[2020-05-26 11:16:06] [INFO ] Computation of co-enabling matrix(626/1331) took 170643 ms. Total solver calls (SAT/UNSAT): 11319(11319/0)
[2020-05-26 11:16:09] [INFO ] Computation of co-enabling matrix(638/1331) took 173987 ms. Total solver calls (SAT/UNSAT): 11539(11539/0)
[2020-05-26 11:16:13] [INFO ] Computation of co-enabling matrix(647/1331) took 177219 ms. Total solver calls (SAT/UNSAT): 11692(11692/0)
[2020-05-26 11:16:16] [INFO ] Computation of co-enabling matrix(660/1331) took 180364 ms. Total solver calls (SAT/UNSAT): 11900(11900/0)
[2020-05-26 11:16:19] [INFO ] Computation of co-enabling matrix(671/1331) took 183598 ms. Total solver calls (SAT/UNSAT): 12064(12064/0)
[2020-05-26 11:16:22] [INFO ] Computation of co-enabling matrix(685/1331) took 186840 ms. Total solver calls (SAT/UNSAT): 12265(12265/0)
[2020-05-26 11:16:25] [INFO ] Computation of co-enabling matrix(709/1331) took 189867 ms. Total solver calls (SAT/UNSAT): 12555(12555/0)
[2020-05-26 11:16:28] [INFO ] Computation of co-enabling matrix(729/1331) took 193143 ms. Total solver calls (SAT/UNSAT): 12795(12795/0)
[2020-05-26 11:16:31] [INFO ] Computation of co-enabling matrix(739/1331) took 196143 ms. Total solver calls (SAT/UNSAT): 12980(12980/0)
[2020-05-26 11:16:35] [INFO ] Computation of co-enabling matrix(748/1331) took 199289 ms. Total solver calls (SAT/UNSAT): 13134(13134/0)
[2020-05-26 11:16:38] [INFO ] Computation of co-enabling matrix(760/1331) took 202662 ms. Total solver calls (SAT/UNSAT): 13340(13340/0)
[2020-05-26 11:16:41] [INFO ] Computation of co-enabling matrix(770/1331) took 205893 ms. Total solver calls (SAT/UNSAT): 13495(13495/0)
[2020-05-26 11:16:44] [INFO ] Computation of co-enabling matrix(781/1331) took 209036 ms. Total solver calls (SAT/UNSAT): 13659(13659/0)
[2020-05-26 11:16:47] [INFO ] Computation of co-enabling matrix(792/1331) took 212040 ms. Total solver calls (SAT/UNSAT): 13812(13812/0)
[2020-05-26 11:16:50] [INFO ] Computation of co-enabling matrix(820/1331) took 215157 ms. Total solver calls (SAT/UNSAT): 14160(14160/0)
[2020-05-26 11:16:53] [INFO ] Computation of co-enabling matrix(854/1331) took 218162 ms. Total solver calls (SAT/UNSAT): 14555(14555/0)
[2020-05-26 11:16:57] [INFO ] Computation of co-enabling matrix(875/1331) took 221291 ms. Total solver calls (SAT/UNSAT): 14910(14910/0)
[2020-05-26 11:17:00] [INFO ] Computation of co-enabling matrix(886/1331) took 224479 ms. Total solver calls (SAT/UNSAT): 15079(15079/0)
[2020-05-26 11:17:03] [INFO ] Computation of co-enabling matrix(911/1331) took 227523 ms. Total solver calls (SAT/UNSAT): 15414(15414/0)
[2020-05-26 11:17:06] [INFO ] Computation of co-enabling matrix(945/1331) took 230576 ms. Total solver calls (SAT/UNSAT): 15785(15785/0)
[2020-05-26 11:17:09] [INFO ] Computation of co-enabling matrix(979/1331) took 233639 ms. Total solver calls (SAT/UNSAT): 16180(16180/0)
[2020-05-26 11:17:12] [INFO ] Computation of co-enabling matrix(1004/1331) took 236753 ms. Total solver calls (SAT/UNSAT): 16570(16570/0)
[2020-05-26 11:17:15] [INFO ] Computation of co-enabling matrix(1017/1331) took 239930 ms. Total solver calls (SAT/UNSAT): 16747(16747/0)
[2020-05-26 11:17:18] [INFO ] Computation of co-enabling matrix(1036/1331) took 243006 ms. Total solver calls (SAT/UNSAT): 16974(16974/0)
[2020-05-26 11:17:21] [INFO ] Computation of co-enabling matrix(1057/1331) took 246054 ms. Total solver calls (SAT/UNSAT): 17187(17187/0)
[2020-05-26 11:17:24] [INFO ] Computation of co-enabling matrix(1077/1331) took 249135 ms. Total solver calls (SAT/UNSAT): 17347(17347/0)
[2020-05-26 11:17:28] [INFO ] Computation of co-enabling matrix(1092/1331) took 252377 ms. Total solver calls (SAT/UNSAT): 17502(17502/0)
[2020-05-26 11:17:31] [INFO ] Computation of co-enabling matrix(1105/1331) took 255799 ms. Total solver calls (SAT/UNSAT): 17705(17705/0)
[2020-05-26 11:17:34] [INFO ] Computation of co-enabling matrix(1115/1331) took 258850 ms. Total solver calls (SAT/UNSAT): 17850(17850/0)
[2020-05-26 11:17:37] [INFO ] Computation of co-enabling matrix(1131/1331) took 261870 ms. Total solver calls (SAT/UNSAT): 18054(18054/0)
[2020-05-26 11:17:40] [INFO ] Computation of co-enabling matrix(1162/1331) took 264932 ms. Total solver calls (SAT/UNSAT): 18407(18407/0)
[2020-05-26 11:17:43] [INFO ] Computation of co-enabling matrix(1182/1331) took 267959 ms. Total solver calls (SAT/UNSAT): 18587(18587/0)
[2020-05-26 11:17:46] [INFO ] Computation of co-enabling matrix(1203/1331) took 271006 ms. Total solver calls (SAT/UNSAT): 18734(18734/0)
[2020-05-26 11:17:49] [INFO ] Computation of co-enabling matrix(1218/1331) took 274009 ms. Total solver calls (SAT/UNSAT): 18899(18899/0)
[2020-05-26 11:17:52] [INFO ] Computation of co-enabling matrix(1236/1331) took 277074 ms. Total solver calls (SAT/UNSAT): 19154(19154/0)
[2020-05-26 11:17:55] [INFO ] Computation of co-enabling matrix(1267/1331) took 280136 ms. Total solver calls (SAT/UNSAT): 19512(19512/0)
[2020-05-26 11:17:58] [INFO ] Computation of co-enabling matrix(1307/1331) took 283137 ms. Total solver calls (SAT/UNSAT): 19842(19842/0)
[2020-05-26 11:18:00] [INFO ] Computation of Finished co-enabling matrix. took 284321 ms. Total solver calls (SAT/UNSAT): 19965(19965/0)
[2020-05-26 11:18:00] [INFO ] Computing Do-Not-Accords matrix : 1331 transitions.
[2020-05-26 11:18:00] [INFO ] Computation of Completed DNA matrix. took 212 ms. Total solver calls (SAT/UNSAT): 0(0/0)
[2020-05-26 11:18:00] [INFO ] Built C files in 372636ms 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 20364 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 95 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((LTLAP0==true))) ) || ( !( []((LTLAP0==true))) ) ) || ( !( <>((LTLAP0==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((LTLAP0==true))) ) || ( !( []((LTLAP0==true))) ) ) || ( !( <>((LTLAP0==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((LTLAP0==true))) ) || ( !( []((LTLAP0==true))) ) ) || ( !( <>((LTLAP0==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)
Detected timeout of ITS tools.
[2020-05-26 11:32:00] [INFO ] Flatten gal took : 203 ms
[2020-05-26 11:32:00] [INFO ] Time to serialize gal into /home/mcc/execution/LTLFireability.pnml.gal : 8 ms
[2020-05-26 11:32:00] [INFO ] Time to serialize properties into /home/mcc/execution/LTLFireability.ltl : 204 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/LTLFireability.pnml.gal, -t, CGAL, -LTL, /home/mcc/execution/LTLFireability.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/LTLFireability.pnml.gal -t CGAL -LTL /home/mcc/execution/LTLFireability.ltl -c -stutter-deadlock --gen-order FOLLOW
Read 11 LTL properties
Checking formula 0 : !((((!(("(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((Rows_4_7>=1)&&(Cells_4_7>=1))&&(Columns_7_7>=1))||(((Rows_9_5>=1)&&(Cells_9_3>=1))&&(Columns_3_5>=1)))||(((Rows_6_3>=1)&&(Cells_6_8>=1))&&(Columns_8_3>=1)))||(((Rows_0_6>=1)&&(Cells_0_9>=1))&&(Columns_9_6>=1)))||(((Rows_2_1>=1)&&(Cells_2_2>=1))&&(Columns_2_1>=1)))||(((Rows_3_10>=1)&&(Cells_3_9>=1))&&(Columns_9_10>=1)))||(((Rows_2_2>=1)&&(Cells_2_10>=1))&&(Columns_10_2>=1)))||(((Rows_10_2>=1)&&(Cells_10_1>=1))&&(Columns_1_2>=1)))||(((Rows_0_5>=1)&&(Cells_0_1>=1))&&(Columns_1_5>=1)))||(((Rows_5_6>=1)&&(Cells_5_10>=1))&&(Columns_10_6>=1)))||(((Rows_9_7>=1)&&(Cells_9_8>=1))&&(Columns_8_7>=1)))||(((Rows_6_1>=1)&&(Cells_6_3>=1))&&(Columns_3_1>=1)))||(((Rows_7_10>=1)&&(Cells_7_10>=1))&&(Columns_10_10>=1)))||(((Rows_5_5>=1)&&(Cells_5_2>=1))&&(Columns_2_5>=1)))||(((Rows_10_3>=1)&&(Cells_10_9>=1))&&(Columns_9_3>=1)))||(((Rows_3_8>=1)&&(Cells_3_4>=1))&&(Columns_4_8>=1)))||(((Rows_2_0>=1)&&(Cells_2_5>=1))&&(Columns_5_0>=1)))||(((Rows_7_9>=1)&&(Cells_7_2>=1))&&(Columns_2_9>=1)))||(((Rows_0_7>=1)&&(Cells_0_6>=1))&&(Columns_6_7>=1)))||(((Rows_2_9>=1)&&(Cells_2_1>=1))&&(Columns_1_9>=1)))||(((Rows_8_8>=1)&&(Cells_8_5>=1))&&(Columns_5_8>=1)))||(((Rows_7_0>=1)&&(Cells_7_6>=1))&&(Columns_6_0>=1)))||(((Rows_9_6>=1)&&(Cells_9_0>=1))&&(Columns_0_6>=1)))||(((Rows_4_6>=1)&&(Cells_4_10>=1))&&(Columns_10_6>=1)))||(((Rows_6_4>=1)&&(Cells_6_5>=1))&&(Columns_5_4>=1)))||(((Rows_9_4>=1)&&(Cells_9_6>=1))&&(Columns_6_4>=1)))||(((Rows_8_0>=1)&&(Cells_8_6>=1))&&(Columns_6_0>=1)))||(((Rows_2_10>=1)&&(Cells_2_9>=1))&&(Columns_9_10>=1)))||(((Rows_2_3>=1)&&(Cells_2_7>=1))&&(Columns_7_3>=1)))||(((Rows_7_8>=1)&&(Cells_7_5>=1))&&(Columns_5_8>=1)))||(((Rows_8_10>=1)&&(Cells_8_10>=1))&&(Columns_10_10>=1)))||(((Rows_7_3>=1)&&(Cells_7_8>=1))&&(Columns_8_3>=1)))||(((Rows_8_5>=1)&&(Cells_8_3>=1))&&(Columns_3_5>=1)))||(((Rows_3_0>=1)&&(Cells_3_5>=1))&&(Columns_5_0>=1)))||(((Rows_0_8>=1)&&(Cells_0_3>=1))&&(Columns_3_8>=1)))||(((Rows_1_4>=1)&&(Cells_1_4>=1))&&(Columns_4_4>=1)))||(((Rows_6_9>=1)&&(Cells_6_2>=1))&&(Columns_2_9>=1)))||(((Rows_4_9>=1)&&(Cells_4_1>=1))&&(Columns_1_9>=1)))||(((Rows_7_1>=1)&&(Cells_7_3>=1))&&(Columns_3_1>=1)))||(((Rows_2_8>=1)&&(Cells_2_4>=1))&&(Columns_4_8>=1)))||(((Rows_8_7>=1)&&(Cells_8_8>=1))&&(Columns_8_7>=1)))||(((Rows_3_2>=1)&&(Cells_3_10>=1))&&(Columns_10_2>=1)))||(((Rows_3_7>=1)&&(Cells_3_7>=1))&&(Columns_7_7>=1)))||(((Rows_6_2>=1)&&(Cells_6_0>=1))&&(Columns_0_2>=1)))||(((Rows_3_5>=1)&&(Cells_3_2>=1))&&(Columns_2_5>=1)))||(((Rows_10_6>=1)&&(Cells_10_0>=1))&&(Columns_0_6>=1)))||(((Rows_6_10>=1)&&(Cells_6_10>=1))&&(Columns_10_10>=1)))||(((Rows_4_0>=1)&&(Cells_4_5>=1))&&(Columns_5_0>=1)))||(((Rows_2_6>=1)&&(Cells_2_9>=1))&&(Columns_9_6>=1)))||(((Rows_9_9>=1)&&(Cells_9_2>=1))&&(Columns_2_9>=1)))||(((Rows_7_2>=1)&&(Cells_7_0>=1))&&(Columns_0_2>=1)))||(((Rows_5_1>=1)&&(Cells_5_3>=1))&&(Columns_3_1>=1)))||(((Rows_10_7>=1)&&(Cells_10_8>=1))&&(Columns_8_7>=1)))||(((Rows_4_2>=1)&&(Cells_4_10>=1))&&(Columns_10_2>=1)))||(((Rows_0_0>=1)&&(Cells_0_4>=1))&&(Columns_4_0>=1)))||(((Rows_8_4>=1)&&(Cells_8_6>=1))&&(Columns_6_4>=1)))||(((Rows_10_10>=1)&&(Cells_10_0>=1))&&(Columns_0_10>=1)))||(((Rows_7_4>=1)&&(Cells_7_5>=1))&&(Columns_5_4>=1)))||(((Rows_5_3>=1)&&(Cells_5_8>=1))&&(Columns_8_3>=1)))||(((Rows_0_3>=1)&&(Cells_0_7>=1))&&(Columns_7_3>=1)))||(((Rows_3_6>=1)&&(Cells_3_10>=1))&&(Columns_10_6>=1)))||(((Rows_10_5>=1)&&(Cells_10_3>=1))&&(Columns_3_5>=1)))||(((Rows_1_1>=1)&&(Cells_1_2>=1))&&(Columns_2_1>=1)))||(((Rows_2_4>=1)&&(Cells_2_4>=1))&&(Columns_4_4>=1)))||(((Rows_3_4>=1)&&(Cells_3_4>=1))&&(Columns_4_4>=1)))||(((Rows_1_8>=1)&&(Cells_1_4>=1))&&(Columns_4_8>=1)))||(((Rows_0_2>=1)&&(Cells_0_9>=1))&&(Columns_9_2>=1)))||((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========== file over 1MB has been truncated ======
retrieve it from the run archives if needed

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="Sudoku-PT-AN11"
export BK_EXAMINATION="LTLFireability"
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 Sudoku-PT-AN11, examination is LTLFireability"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r227-oct2-159033546600394"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-PT-AN11.tgz
mv Sudoku-PT-AN11 execution
cd execution
if [ "LTLFireability" = "ReachabilityDeadlock" ] || [ "LTLFireability" = "UpperBounds" ] || [ "LTLFireability" = "QuasiLiveness" ] || [ "LTLFireability" = "StableMarking" ] || [ "LTLFireability" = "Liveness" ] || [ "LTLFireability" = "OneSafe" ] || [ "LTLFireability" = "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 [ "LTLFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLFireability" != "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 "LTLFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLFireability.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 '' LTLFireability.xml | cut -d '>' -f 2 | cut -d '<' -f 1 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ "LTLFireability" = "ReachabilityDeadlock" ] || [ "LTLFireability" = "QuasiLiveness" ] || [ "LTLFireability" = "StableMarking" ] || [ "LTLFireability" = "Liveness" ] || [ "LTLFireability" = "OneSafe" ] ; then
echo "FORMULA_NAME LTLFireability"
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 ;