About the Execution of ITS-Tools for Sudoku-PT-AN13
| Execution Summary | |||||
| Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
| 15791.420 | 3600000.00 | 10537190.00 | 29370.80 | F????F?TFFFFFTFF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fkordon/mcc2021-input.r254-tall-162106746300654.qcow2', fmt=qcow2 size=4294967296 backing_file='/data/fkordon/mcc2021-input.qcow2' encryption=off cluster_size=65536 lazy_refcounts=off
Waiting for the VM to be ready (probing ssh)
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=====================================================================
Generated by BenchKit 2-4028
Executing tool itstools
Input is Sudoku-PT-AN13, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r254-tall-162106746300654
=====================================================================
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preparation of the directory to be used:
/home/mcc/execution
total 41M
-rw-r--r-- 1 mcc users 2.4M May 15 08:50 CTLCardinality.txt
-rw-r--r-- 1 mcc users 11M May 15 08:50 CTLCardinality.xml
-rw-r--r-- 1 mcc users 2.5M May 15 08:50 CTLFireability.txt
-rw-r--r-- 1 mcc users 12M May 15 08:50 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K May 6 14:48 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.6K May 6 14:48 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 507K Mar 28 16:44 LTLCardinality.txt
-rw-r--r-- 1 mcc users 1.6M Mar 28 16:44 LTLCardinality.xml
-rw-r--r-- 1 mcc users 1005K Mar 28 16:44 LTLFireability.txt
-rw-r--r-- 1 mcc users 3.5M Mar 28 16:44 LTLFireability.xml
-rw-r--r-- 1 mcc users 219K May 13 19:29 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 650K May 13 19:29 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 1.1M May 13 19:29 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 3.5M May 13 19:29 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.6K Mar 22 08:16 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.3K Mar 22 08:16 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 May 5 16:52 equiv_col
-rw-r--r-- 1 mcc users 5 May 5 16:52 instance
-rw-r--r-- 1 mcc users 6 May 5 16:52 iscolored
-rw-r--r-- 1 mcc users 1.2M May 5 16:52 model.pnml
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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-AN13-ReachabilityCardinality-00
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-01
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-02
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-03
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-04
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-05
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-06
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-07
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-08
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-09
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-10
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-11
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-12
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-13
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-14
FORMULA_NAME Sudoku-PT-AN13-ReachabilityCardinality-15
=== Now, execution of the tool begins
BK_START 1621254391272
Running Version 0
[2021-05-17 12:26:32] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, ReachabilityCardinality, -spotpath, /home/mcc/BenchKit/bin//..//ltlfilt, -z3path, /home/mcc/BenchKit/bin//..//z3/bin/z3, -yices2path, /home/mcc/BenchKit/bin//..//yices/bin/yices, -its, -ltsmin, -greatspnpath, /home/mcc/BenchKit/bin//..//greatspn/, -order, META, -manyOrder, -smt, -timeout, 3600]
[2021-05-17 12:26:32] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-17 12:26:32] [INFO ] Load time of PNML (sax parser for PT used): 176 ms
[2021-05-17 12:26:32] [INFO ] Transformed 2704 places.
[2021-05-17 12:26:33] [INFO ] Transformed 2197 transitions.
[2021-05-17 12:26:33] [INFO ] Parsed PT model containing 2704 places and 2197 transitions in 241 ms.
Parsed 16 properties from file /home/mcc/execution/ReachabilityCardinality.xml in 165 ms.
Working with output stream class java.io.PrintStream
Incomplete random walk after 10000 steps, including 67 resets, run finished after 1840 ms. (steps per millisecond=5 ) properties (out of 16) seen :5
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-12 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-09 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-07 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-05 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-00 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 279 ms. (steps per millisecond=35 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 302 ms. (steps per millisecond=33 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 676 ms. (steps per millisecond=14 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 104 ms. (steps per millisecond=96 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 102 ms. (steps per millisecond=98 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 75 ms. (steps per millisecond=133 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 72 ms. (steps per millisecond=138 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 72 ms. (steps per millisecond=138 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 74 ms. (steps per millisecond=135 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 73 ms. (steps per millisecond=137 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 71 ms. (steps per millisecond=140 ) properties (out of 11) seen :0
Running SMT prover for 11 properties.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:26:37] [INFO ] Computed 507 place invariants in 35 ms
[2021-05-17 12:26:42] [INFO ] [Real]Absence check using 507 positive place invariants in 4656 ms returned unknown
[2021-05-17 12:26:46] [INFO ] [Real]Absence check using 507 positive place invariants in 4549 ms returned sat
[2021-05-17 12:26:46] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 12:26:47] [WARNING] SMT solver failed with error :java.lang.RuntimeException: SMT solver raised an error when submitting script. Raised (error "Error writing to Z3 solver: java.io.IOException: Broken pipe")... while checking expression at index 1
[2021-05-17 12:26:52] [INFO ] [Real]Absence check using 507 positive place invariants in 4725 ms returned unknown
[2021-05-17 12:26:57] [INFO ] [Real]Absence check using 507 positive place invariants in 4752 ms returned unknown
[2021-05-17 12:27:02] [INFO ] [Real]Absence check using 507 positive place invariants in 4762 ms returned unknown
[2021-05-17 12:27:02] [INFO ] [Real]Absence check using 507 positive place invariants in 30 ms returned unsat
[2021-05-17 12:27:02] [INFO ] [Real]Absence check using 507 positive place invariants in 27 ms returned unsat
[2021-05-17 12:27:02] [INFO ] [Real]Absence check using 507 positive place invariants in 26 ms returned unsat
[2021-05-17 12:27:03] [INFO ] [Real]Absence check using 507 positive place invariants in 131 ms returned sat
[2021-05-17 12:27:03] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 12:27:04] [INFO ] [Real]Absence check using state equation in 933 ms returned sat
[2021-05-17 12:27:04] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 12:27:04] [INFO ] [Nat]Absence check using 507 positive place invariants in 127 ms returned sat
[2021-05-17 12:27:04] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-17 12:27:05] [INFO ] [Nat]Absence check using state equation in 927 ms returned sat
[2021-05-17 12:27:06] [INFO ] Computed and/alt/rep : 0/0/0 causal constraints (skipped 0 transitions) in 63 ms.
[2021-05-17 12:27:06] [INFO ] Added : 0 causal constraints over 0 iterations in 293 ms. Result :sat
Attempting to minimize the solution found.
Minimization took 6 ms.
[2021-05-17 12:27:06] [INFO ] [Real]Absence check using 507 positive place invariants in 33 ms returned unsat
[2021-05-17 12:27:07] [INFO ] [Real]Absence check using 507 positive place invariants in 39 ms returned unsat
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-15 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-14 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-11 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-10 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-08 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
Fused 11 Parikh solutions to 2 different solutions.
Incomplete Parikh walk after 10600 steps, including 99 resets, run finished after 697 ms. (steps per millisecond=15 ) properties (out of 6) seen :1 could not realise parikh vector
FORMULA Sudoku-PT-AN13-ReachabilityCardinality-13 TRUE TECHNIQUES TOPOLOGICAL PARIKH_WALK
Support contains 2704 out of 2704 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 2704/2704 places, 2197/2197 transitions.
Applied a total of 0 rules in 51 ms. Remains 2704 /2704 variables (removed 0) and now considering 2197/2197 (removed 0) transitions.
Finished structural reductions, in 1 iterations. Remains : 2704/2704 places, 2197/2197 transitions.
[2021-05-17 12:27:08] [INFO ] Flatten gal took : 246 ms
[2021-05-17 12:27:08] [INFO ] Flatten gal took : 162 ms
[2021-05-17 12:27:08] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality11841161327676778679.gal : 42 ms
[2021-05-17 12:27:08] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality11977810582972517782.prop : 8 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality11841161327676778679.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality11977810582972517782.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality11841161327676778679.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality11977810582972517782.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality11977810582972517782.prop.
SDD proceeding with computation,5 properties remain. new max is 4
SDD size :1 after 31
SDD proceeding with computation,5 properties remain. new max is 8
SDD size :31 after 1337
Detected timeout of ITS tools.
[2021-05-17 12:27:23] [INFO ] Flatten gal took : 123 ms
[2021-05-17 12:27:23] [INFO ] Applying decomposition
[2021-05-17 12:27:23] [INFO ] Flatten gal took : 116 ms
Converted graph to binary with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/convert-linux64, -i, /tmp/graph16704675397230684254.txt, -o, /tmp/graph16704675397230684254.bin, -w, /tmp/graph16704675397230684254.weights], workingDir=null]
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/louvain-linux64, /tmp/graph16704675397230684254.bin, -l, -1, -v, -w, /tmp/graph16704675397230684254.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 12:27:30] [INFO ] Decomposing Gal with order
[2021-05-17 12:27:30] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 12:27:35] [INFO ] Removed a total of 6084 redundant transitions.
[2021-05-17 12:27:35] [INFO ] Flatten gal took : 5169 ms
[2021-05-17 12:27:35] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 30 ms.
[2021-05-17 12:27:36] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality2716839918262195416.gal : 24 ms
[2021-05-17 12:27:36] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality14663132723780443008.prop : 3 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality2716839918262195416.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality14663132723780443008.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality2716839918262195416.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality14663132723780443008.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality14663132723780443008.prop.
SDD proceeding with computation,5 properties remain. new max is 4
SDD size :1 after 31
SDD proceeding with computation,5 properties remain. new max is 8
SDD size :31 after 1337
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin8898479413205588641
[2021-05-17 12:27:51] [INFO ] Built C files in 44ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin8898479413205588641
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin8898479413205588641]
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin8898479413205588641] killed by timeout after 1 SECONDS
java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin8898479413205588641] killed by timeout after 1 SECONDS
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:79)
at java.base/java.lang.Thread.run(Thread.java:834)
Interrupted random walk after 171882 steps, including 1159 resets, run timeout after 30001 ms. (steps per millisecond=5 ) properties seen :{}
Interrupted Best-First random walk after 195478 steps, including 2 resets, run timeout after 5004 ms. (steps per millisecond=39 ) properties seen :{}
Interrupted Best-First random walk after 176295 steps, including 1 resets, run timeout after 5011 ms. (steps per millisecond=35 ) properties seen :{}
Interrupted Best-First random walk after 71977 steps, including 0 resets, run timeout after 5039 ms. (steps per millisecond=14 ) properties seen :{}
Interrupted Best-First random walk after 581962 steps, including 5 resets, run timeout after 5001 ms. (steps per millisecond=116 ) properties seen :{}
Interrupted Best-First random walk after 565422 steps, including 5 resets, run timeout after 5001 ms. (steps per millisecond=113 ) properties seen :{}
Interrupted probabilistic random walk after 1353307 steps, run timeout after 30001 ms. (steps per millisecond=45 ) properties seen :{}
Probabilistic random walk after 1353307 steps, saw 408627 distinct states, run finished after 30001 ms. (steps per millisecond=45 ) properties seen :{}
Running SMT prover for 5 properties.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:29:17] [INFO ] Computed 507 place invariants in 12 ms
[2021-05-17 12:30:02] [INFO ] [Real]Absence check using 507 positive place invariants in 44733 ms returned unknown
[2021-05-17 12:30:07] [INFO ] [Real]Absence check using 507 positive place invariants in 4618 ms returned sat
[2021-05-17 12:30:07] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 12:30:08] [INFO ] [Real]Absence check using state equation in 1443 ms returned sat
[2021-05-17 12:30:08] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 12:30:17] [INFO ] [Nat]Absence check using 507 positive place invariants in 8139 ms returned unknown
[2021-05-17 12:31:02] [INFO ] [Real]Absence check using 507 positive place invariants in 44743 ms returned unknown
[2021-05-17 12:31:47] [INFO ] [Real]Absence check using 507 positive place invariants in 44749 ms returned unknown
[2021-05-17 12:32:32] [INFO ] [Real]Absence check using 507 positive place invariants in 44739 ms returned unknown
Fused 5 Parikh solutions to 1 different solutions.
Support contains 2704 out of 2704 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 2704/2704 places, 2197/2197 transitions.
Applied a total of 0 rules in 34 ms. Remains 2704 /2704 variables (removed 0) and now considering 2197/2197 (removed 0) transitions.
Finished structural reductions, in 1 iterations. Remains : 2704/2704 places, 2197/2197 transitions.
Starting structural reductions, iteration 0 : 2704/2704 places, 2197/2197 transitions.
Applied a total of 0 rules in 26 ms. Remains 2704 /2704 variables (removed 0) and now considering 2197/2197 (removed 0) transitions.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:32:32] [INFO ] Computed 507 place invariants in 10 ms
[2021-05-17 12:32:32] [INFO ] Implicit Places using invariants in 383 ms returned []
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:32:32] [INFO ] Computed 507 place invariants in 8 ms
[2021-05-17 12:32:34] [INFO ] Implicit Places using invariants and state equation in 1270 ms returned []
Implicit Place search using SMT with State Equation took 1654 ms to find 0 implicit places.
[2021-05-17 12:32:34] [INFO ] Redundant transitions in 113 ms returned []
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:32:34] [INFO ] Computed 507 place invariants in 8 ms
[2021-05-17 12:32:35] [INFO ] Dead Transitions using invariants and state equation in 1312 ms returned []
Finished structural reductions, in 1 iterations. Remains : 2704/2704 places, 2197/2197 transitions.
Incomplete random walk after 100000 steps, including 674 resets, run finished after 17536 ms. (steps per millisecond=5 ) properties (out of 5) seen :0
Running SMT prover for 5 properties.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:32:53] [INFO ] Computed 507 place invariants in 8 ms
[2021-05-17 12:33:13] [INFO ] [Real]Absence check using 507 positive place invariants in 19761 ms returned unknown
[2021-05-17 12:33:17] [INFO ] [Real]Absence check using 507 positive place invariants in 4569 ms returned sat
[2021-05-17 12:33:17] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 12:33:19] [INFO ] [Real]Absence check using state equation in 1476 ms returned sat
[2021-05-17 12:33:19] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 12:33:27] [INFO ] [Nat]Absence check using 507 positive place invariants in 8186 ms returned unknown
[2021-05-17 12:33:47] [INFO ] [Real]Absence check using 507 positive place invariants in 19745 ms returned unknown
[2021-05-17 12:34:07] [INFO ] [Real]Absence check using 507 positive place invariants in 19752 ms returned unknown
[2021-05-17 12:34:27] [INFO ] [Real]Absence check using 507 positive place invariants in 19748 ms returned unknown
[2021-05-17 12:34:28] [INFO ] Flatten gal took : 113 ms
[2021-05-17 12:34:28] [INFO ] Flatten gal took : 110 ms
[2021-05-17 12:34:28] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality5980959383097298779.gal : 11 ms
[2021-05-17 12:34:29] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality16951018963307320034.prop : 1607 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality5980959383097298779.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality16951018963307320034.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality5980959383097298779.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality16951018963307320034.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality16951018963307320034.prop.
Detected timeout of ITS tools.
[2021-05-17 12:34:44] [INFO ] Flatten gal took : 97 ms
[2021-05-17 12:34:44] [INFO ] Applying decomposition
[2021-05-17 12:34:45] [INFO ] Flatten gal took : 98 ms
Converted graph to binary with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/convert-linux64, -i, /tmp/graph4316219162435158826.txt, -o, /tmp/graph4316219162435158826.bin, -w, /tmp/graph4316219162435158826.weights], workingDir=null]
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/louvain-linux64, /tmp/graph4316219162435158826.bin, -l, -1, -v, -w, /tmp/graph4316219162435158826.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 12:34:52] [INFO ] Decomposing Gal with order
[2021-05-17 12:34:52] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 12:34:57] [INFO ] Removed a total of 6084 redundant transitions.
[2021-05-17 12:34:57] [INFO ] Flatten gal took : 4710 ms
[2021-05-17 12:34:57] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 25 ms.
[2021-05-17 12:34:57] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality11527752820501670384.gal : 11 ms
[2021-05-17 12:35:06] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality4742701861494732695.prop : 8824 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality11527752820501670384.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality4742701861494732695.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality11527752820501670384.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality4742701861494732695.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality4742701861494732695.prop.
SDD proceeding with computation,5 properties remain. new max is 4
SDD size :1 after 31
SDD proceeding with computation,5 properties remain. new max is 8
SDD size :31 after 1337
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin12854525735109891378
[2021-05-17 12:35:21] [INFO ] Built C files in 32ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin12854525735109891378
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin12854525735109891378]
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin12854525735109891378] killed by timeout after 1 SECONDS
java.lang.RuntimeException: Compilation or link of executable timed out.java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin12854525735109891378] killed by timeout after 1 SECONDS
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:79)
at java.base/java.lang.Thread.run(Thread.java:834)
Applied a total of 0 rules in 26 ms. Remains 2704 /2704 variables (removed 0) and now considering 2197/2197 (removed 0) transitions.
Running SMT prover for 5 properties.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:35:22] [INFO ] Computed 507 place invariants in 7 ms
[2021-05-17 12:36:07] [INFO ] [Real]Absence check using 507 positive place invariants in 44778 ms returned unknown
[2021-05-17 12:36:12] [INFO ] [Real]Absence check using 507 positive place invariants in 4464 ms returned sat
[2021-05-17 12:36:12] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 12:36:13] [INFO ] [Real]Absence check using state equation in 1438 ms returned sat
[2021-05-17 12:36:13] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 12:36:22] [INFO ] [Nat]Absence check using 507 positive place invariants in 8114 ms returned unknown
[2021-05-17 12:37:07] [INFO ] [Real]Absence check using 507 positive place invariants in 44744 ms returned unknown
[2021-05-17 12:37:52] [INFO ] [Real]Absence check using 507 positive place invariants in 44790 ms returned unknown
[2021-05-17 12:38:37] [INFO ] [Real]Absence check using 507 positive place invariants in 44760 ms returned unknown
[2021-05-17 12:38:37] [INFO ] Flatten gal took : 98 ms
Using solver Z3 to compute partial order matrices.
Built C files in :
/tmp/ltsmin16471699771130896224
[2021-05-17 12:38:37] [INFO ] Too many transitions (2197) to apply POR reductions. Disabling POR matrices.
[2021-05-17 12:38:37] [INFO ] Built C files in 35ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin16471699771130896224
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/include/, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/tmp/ltsmin16471699771130896224]
[2021-05-17 12:38:37] [INFO ] Applying decomposition
[2021-05-17 12:38:37] [INFO ] Flatten gal took : 121 ms
[2021-05-17 12:38:37] [INFO ] Flatten gal took : 139 ms
[2021-05-17 12:38:37] [INFO ] Input system was already deterministic with 2197 transitions.
[2021-05-17 12:38:38] [INFO ] Ran tautology test, simplified 0 / 5 in 1303 ms.
[2021-05-17 12:38:38] [INFO ] BMC solution for property Sudoku-PT-AN13-ReachabilityCardinality-01(UNSAT) depth K=0 took 46 ms
[2021-05-17 12:38:38] [INFO ] BMC solution for property Sudoku-PT-AN13-ReachabilityCardinality-02(UNSAT) depth K=0 took 5 ms
[2021-05-17 12:38:38] [INFO ] BMC solution for property Sudoku-PT-AN13-ReachabilityCardinality-03(UNSAT) depth K=0 took 38 ms
[2021-05-17 12:38:38] [INFO ] BMC solution for property Sudoku-PT-AN13-ReachabilityCardinality-04(UNSAT) depth K=0 took 3 ms
[2021-05-17 12:38:38] [INFO ] BMC solution for property Sudoku-PT-AN13-ReachabilityCardinality-06(UNSAT) depth K=0 took 9 ms
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 2197 rows 2704 cols
[2021-05-17 12:38:39] [INFO ] Computed 507 place invariants in 10 ms
inv : Board_0_11_2 + Board_1_11_2 + Board_2_11_2 + Board_3_11_2 + Board_4_11_2 + Board_5_11_2 + Board_6_11_2 + Board_7_11_2 + Board_8_11_2 + Board_9_11_2 + Board_10_11_2 + Board_11_11_2 + Board_12_11_2 + Columns_11_2 = 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 + Board_11_9_2 + Board_12_9_2 + Columns_9_2 = 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 + Board_4_11_10 + Board_4_12_10 = 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 + Board_9_11_5 + Board_9_12_5 = 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 + Board_11_7_2 + Board_12_7_2 + Columns_7_2 = 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 + Board_7_10_11 + Board_7_10_12 + Cells_7_10 = 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 + Board_6_1_11 + Board_6_1_12 + Cells_6_1 = 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 + Board_5_11_6 + Board_5_12_6 = 1
inv : Board_6_12_0 + Board_6_12_1 + Board_6_12_2 + Board_6_12_3 + Board_6_12_4 + Board_6_12_5 + Board_6_12_6 + Board_6_12_7 + Board_6_12_8 + Board_6_12_9 + Board_6_12_10 + Board_6_12_11 + Board_6_12_12 + Cells_6_12 = 1
inv : Rows_0_11 + Board_0_0_11 + Board_0_1_11 + Board_0_2_11 + Board_0_3_11 + Board_0_4_11 + Board_0_5_11 + Board_0_6_11 + Board_0_7_11 + Board_0_8_11 + Board_0_9_11 + Board_0_10_11 + Board_0_11_11 + Board_0_12_11 = 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 + Board_1_11_7 + Board_1_12_7 = 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 + Board_5_3_11 + Board_5_3_12 + Cells_5_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 + Board_9_6_11 + Board_9_6_12 + Cells_9_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 + Board_2_11_3 + Board_2_12_3 = 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 + Board_11_1_2 + Board_12_1_2 + Columns_1_2 = 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 + Board_11_5_2 + Board_12_5_2 + Columns_5_2 = 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 + Board_11_3_2 + Board_12_3_2 + Columns_3_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 + Board_10_4_11 + Board_10_4_12 + Cells_10_4 = 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 + Board_11_4_4 + Board_12_4_4 + Columns_4_4 = 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 + Board_11_0_4 + Board_12_0_4 + Columns_0_4 = 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 + Board_0_11_0 + Board_0_12_0 = 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 + Board_11_8_4 + Board_12_8_4 + Columns_8_4 = 1
inv : Board_12_10_0 + Board_12_10_1 + Board_12_10_2 + Board_12_10_3 + Board_12_10_4 + Board_12_10_5 + Board_12_10_6 + Board_12_10_7 + Board_12_10_8 + Board_12_10_9 + Board_12_10_10 + Board_12_10_11 + Board_12_10_12 + Cells_12_10 = 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 + Board_1_1_11 + Board_1_1_12 + Cells_1_1 = 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 + Board_0_3_11 + Board_0_3_12 + Cells_0_3 = 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 + Board_11_4_0 + Board_12_4_0 + Columns_4_0 = 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 + Board_2_11_7 + Board_2_12_7 = 1
inv : Rows_11_12 + Board_11_0_12 + Board_11_1_12 + Board_11_2_12 + Board_11_3_12 + Board_11_4_12 + Board_11_5_12 + Board_11_6_12 + Board_11_7_12 + Board_11_8_12 + Board_11_9_12 + Board_11_10_12 + Board_11_11_12 + Board_11_12_12 = 1
inv : Board_11_12_0 + Board_11_12_1 + Board_11_12_2 + Board_11_12_3 + Board_11_12_4 + Board_11_12_5 + Board_11_12_6 + Board_11_12_7 + Board_11_12_8 + Board_11_12_9 + Board_11_12_10 + Board_11_12_11 + Board_11_12_12 + Cells_11_12 = 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 + Board_11_0_0 + Board_12_0_0 + Columns_0_0 = 1
inv : Board_0_12_4 + Board_1_12_4 + Board_2_12_4 + Board_3_12_4 + Board_4_12_4 + Board_5_12_4 + Board_6_12_4 + Board_7_12_4 + Board_8_12_4 + Board_9_12_4 + Board_10_12_4 + Board_11_12_4 + Board_12_12_4 + Columns_12_4 = 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 + Board_2_9_11 + Board_2_9_12 + Cells_2_9 = 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 + Board_3_8_11 + Board_3_8_12 + Cells_3_8 = 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 + Board_10_11_5 + Board_10_12_5 = 1
inv : Rows_11_1 + Board_11_0_1 + Board_11_1_1 + Board_11_2_1 + Board_11_3_1 + Board_11_4_1 + Board_11_5_1 + Board_11_6_1 + Board_11_7_1 + Board_11_8_1 + Board_11_9_1 + Board_11_10_1 + Board_11_11_1 + Board_11_12_1 = 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 + Board_9_5_11 + Board_9_5_12 + Cells_9_5 = 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 + Board_6_11_6 + Board_6_12_6 = 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 + Board_7_11_2 + Board_7_12_2 = 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 + Board_1_0_11 + Board_1_0_12 + Cells_1_0 = 1
inv : Board_0_11_6 + Board_1_11_6 + Board_2_11_6 + Board_3_11_6 + Board_4_11_6 + Board_5_11_6 + Board_6_11_6 + Board_7_11_6 + Board_8_11_6 + Board_9_11_6 + Board_10_11_6 + Board_11_11_6 + Board_12_11_6 + Columns_11_6 = 1
inv : Rows_10_12 + Board_10_0_12 + Board_10_1_12 + Board_10_2_12 + Board_10_3_12 + Board_10_4_12 + Board_10_5_12 + Board_10_6_12 + Board_10_7_12 + Board_10_8_12 + Board_10_9_12 + Board_10_10_12 + Board_10_11_12 + Board_10_12_12 = 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 + Board_11_8_0 + Board_12_8_0 + Columns_8_0 = 1
inv : Board_1_12_0 + Board_1_12_1 + Board_1_12_2 + Board_1_12_3 + Board_1_12_4 + Board_1_12_5 + Board_1_12_6 + Board_1_12_7 + Board_1_12_8 + Board_1_12_9 + Board_1_12_10 + Board_1_12_11 + Board_1_12_12 + Cells_1_12 = 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 + Board_9_11_1 + Board_9_12_1 = 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 + Board_11_10_0 + Board_12_10_0 + Columns_10_0 = 1
inv : Board_11_1_0 + Board_11_1_1 + Board_11_1_2 + Board_11_1_3 + Board_11_1_4 + Board_11_1_5 + Board_11_1_6 + Board_11_1_7 + Board_11_1_8 + Board_11_1_9 + Board_11_1_10 + Board_11_1_11 + Board_11_1_12 + Cells_11_1 = 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 + Board_3_7_11 + Board_3_7_12 + Cells_3_7 = 1
inv : Board_6_11_0 + Board_6_11_1 + Board_6_11_2 + Board_6_11_3 + Board_6_11_4 + Board_6_11_5 + Board_6_11_6 + Board_6_11_7 + Board_6_11_8 + Board_6_11_9 + Board_6_11_10 + Board_6_11_11 + Board_6_11_12 + Cells_6_11 = 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 + Board_6_2_11 + Board_6_2_12 + Cells_6_2 = 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 + Board_6_11_2 + Board_6_12_2 = 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 + Board_11_2_4 + Board_12_2_4 + Columns_2_4 = 1
inv : Board_0_8_11 + Board_1_8_11 + Board_2_8_11 + Board_3_8_11 + Board_4_8_11 + Board_5_8_11 + Board_6_8_11 + Board_7_8_11 + Board_8_8_11 + Board_9_8_11 + Board_10_8_11 + Board_11_8_11 + Board_12_8_11 + Columns_8_11 = 1
inv : Board_12_0_0 + Board_12_0_1 + Board_12_0_2 + Board_12_0_3 + Board_12_0_4 + Board_12_0_5 + Board_12_0_6 + Board_12_0_7 + Board_12_0_8 + Board_12_0_9 + Board_12_0_10 + Board_12_0_11 + Board_12_0_12 + Cells_12_0 = 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 + Board_11_2_0 + Board_12_2_0 + Columns_2_0 = 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 + Board_3_11_3 + Board_3_12_3 = 1
inv : Board_0_0_11 + Board_1_0_11 + Board_2_0_11 + Board_3_0_11 + Board_4_0_11 + Board_5_0_11 + Board_6_0_11 + Board_7_0_11 + Board_8_0_11 + Board_9_0_11 + Board_10_0_11 + Board_11_0_11 + Board_12_0_11 + Columns_0_11 = 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 + Board_10_11_1 + Board_10_12_1 = 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 + Board_11_10_4 + Board_12_10_4 + Columns_10_4 = 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 + Board_11_3_6 + Board_12_3_6 + Columns_3_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 + Board_10_11_8 + Board_10_12_8 = 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 + Board_0_4_11 + Board_0_4_12 + Cells_0_4 = 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 + Board_3_6_11 + Board_3_6_12 + Cells_3_6 = 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 + Board_11_1_9 + Board_12_1_9 + Columns_1_9 = 1
inv : Rows_2_11 + Board_2_0_11 + Board_2_1_11 + Board_2_2_11 + Board_2_3_11 + Board_2_4_11 + Board_2_5_11 + Board_2_6_11 + Board_2_7_11 + Board_2_8_11 + Board_2_9_11 + Board_2_10_11 + Board_2_11_11 + Board_2_12_11 = 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 + Board_2_8_11 + Board_2_8_12 + Cells_2_8 = 1
inv : Board_11_3_0 + Board_11_3_1 + Board_11_3_2 + Board_11_3_3 + Board_11_3_4 + Board_11_3_5 + Board_11_3_6 + Board_11_3_7 + Board_11_3_8 + Board_11_3_9 + Board_11_3_10 + Board_11_3_11 + Board_11_3_12 + Cells_11_3 = 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 + Board_6_11_10 + Board_6_12_10 = 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 + Board_11_7_9 + Board_12_7_9 + Columns_7_9 = 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 + Board_11_3_9 + Board_12_3_9 + Columns_3_9 = 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 + Board_11_5_9 + Board_12_5_9 + Columns_5_9 = 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 + Board_11_4_8 + Board_12_4_8 + Columns_4_8 = 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 + Board_2_0_11 + Board_2_0_12 + Cells_2_0 = 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 + Board_11_6_8 + Board_12_6_8 + Columns_6_8 = 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 + Board_11_3_10 + Board_12_3_10 + Columns_3_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 + Board_11_1_10 + Board_12_1_10 + Columns_1_10 = 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 + Board_11_8_8 + Board_12_8_8 + Columns_8_8 = 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 + Board_11_10_8 + Board_12_10_8 + Columns_10_8 = 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 + Board_4_11_2 + Board_4_12_2 = 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 + Board_11_8_7 + Board_12_8_7 + Columns_8_7 = 1
inv : Board_0_12_7 + Board_1_12_7 + Board_2_12_7 + Board_3_12_7 + Board_4_12_7 + Board_5_12_7 + Board_6_12_7 + Board_7_12_7 + Board_8_12_7 + Board_9_12_7 + Board_10_12_7 + Board_11_12_7 + Board_12_12_7 + Columns_12_7 = 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 + Board_0_1_11 + Board_0_1_12 + Cells_0_1 = 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 + Board_9_4_11 + Board_9_4_12 + Cells_9_4 = 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 + Board_1_11_0 + Board_1_12_0 = 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 + Board_8_11_1 + Board_8_12_1 = 1
inv : Board_7_11_0 + Board_7_11_1 + Board_7_11_2 + Board_7_11_3 + Board_7_11_4 + Board_7_11_5 + Board_7_11_6 + Board_7_11_7 + Board_7_11_8 + Board_7_11_9 + Board_7_11_10 + Board_7_11_11 + Board_7_11_12 + Cells_7_11 = 1
inv : Board_0_12_0 + Board_0_12_1 + Board_0_12_2 + Board_0_12_3 + Board_0_12_4 + Board_0_12_5 + Board_0_12_6 + Board_0_12_7 + Board_0_12_8 + Board_0_12_9 + Board_0_12_10 + Board_0_12_11 + Board_0_12_12 + Cells_0_12 = 1
inv : Board_0_10_11 + Board_1_10_11 + Board_2_10_11 + Board_3_10_11 + Board_4_10_11 + Board_5_10_11 + Board_6_10_11 + Board_7_10_11 + Board_8_10_11 + Board_9_10_11 + Board_10_10_11 + Board_11_10_11 + Board_12_10_11 + Columns_10_11 = 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 + Board_2_11_10 + Board_2_12_10 = 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 + Board_1_11_4 + Board_1_12_4 = 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 + Board_8_9_11 + Board_8_9_12 + Cells_8_9 = 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 + Board_8_7_11 + Board_8_7_12 + Cells_8_7 = 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 + Board_11_1_6 + Board_12_1_6 + Columns_1_6 = 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 + Board_6_11_9 + Board_6_12_9 = 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 + Board_10_11_9 + Board_10_12_9 = 1
inv : Rows_12_0 + Board_12_0_0 + Board_12_1_0 + Board_12_2_0 + Board_12_3_0 + Board_12_4_0 + Board_12_5_0 + Board_12_6_0 + Board_12_7_0 + Board_12_8_0 + Board_12_9_0 + Board_12_10_0 + Board_12_11_0 + Board_12_12_0 = 1
inv : Board_2_11_0 + Board_2_11_1 + Board_2_11_2 + Board_2_11_3 + Board_2_11_4 + Board_2_11_5 + Board_2_11_6 + Board_2_11_7 + Board_2_11_8 + Board_2_11_9 + Board_2_11_10 + Board_2_11_11 + Board_2_11_12 + Cells_2_11 = 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 + Board_0_2_11 + Board_0_2_12 + Cells_0_2 = 1
inv : Rows_12_4 + Board_12_0_4 + Board_12_1_4 + Board_12_2_4 + Board_12_3_4 + Board_12_4_4 + Board_12_5_4 + Board_12_6_4 + Board_12_7_4 + Board_12_8_4 + Board_12_9_4 + Board_12_10_4 + Board_12_11_4 + Board_12_12_4 = 1
inv : Board_7_12_0 + Board_7_12_1 + Board_7_12_2 + Board_7_12_3 + Board_7_12_4 + Board_7_12_5 + Board_7_12_6 + Board_7_12_7 + Board_7_12_8 + Board_7_12_9 + Board_7_12_10 + Board_7_12_11 + Board_7_12_12 + Cells_7_12 = 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 + Board_5_11_3 + Board_5_12_3 = 1
inv : Board_0_12_11 + Board_1_12_11 + Board_2_12_11 + Board_3_12_11 + Board_4_12_11 + Board_5_12_11 + Board_6_12_11 + Board_7_12_11 + Board_8_12_11 + Board_9_12_11 + Board_10_12_11 + Board_11_12_11 + Board_12_12_11 + Columns_12_11 = 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 + Board_9_11_2 + Board_9_12_2 = 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 + Board_10_11_4 + Board_10_12_4 = 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 + Board_5_4_11 + Board_5_4_12 + Cells_5_4 = 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 + Board_8_11_5 + Board_8_12_5 = 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 + Board_6_11_5 + Board_6_12_5 = 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 + Board_0_11_3 + Board_0_12_3 = 1
inv : Board_11_2_0 + Board_11_2_1 + Board_11_2_2 + Board_11_2_3 + Board_11_2_4 + Board_11_2_5 + Board_11_2_6 + Board_11_2_7 + Board_11_2_8 + Board_11_2_9 + Board_11_2_10 + Board_11_2_11 + Board_11_2_12 + Cells_11_2 = 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 + Board_11_6_4 + Board_12_6_4 + Columns_6_4 = 1
inv : Rows_12_12 + Board_12_0_12 + Board_12_1_12 + Board_12_2_12 + Board_12_3_12 + Board_12_4_12 + Board_12_5_12 + Board_12_6_12 + Board_12_7_12 + Board_12_8_12 + Board_12_9_12 + Board_12_10_12 + Board_12_11_12 + Board_12_12_12 = 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 + Board_11_10_7 + Board_12_10_7 + Columns_10_7 = 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 + Board_3_5_11 + Board_3_5_12 + Cells_3_5 = 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 + Board_6_0_11 + Board_6_0_12 + Cells_6_0 = 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 + Board_11_6_0 + Board_12_6_0 + Columns_6_0 = 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 + Board_5_5_11 + Board_5_5_12 + Cells_5_5 = 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 + Board_4_11_6 + Board_4_12_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 + Board_11_10_3 + Board_12_10_3 + Columns_10_3 = 1
inv : Rows_12_8 + Board_12_0_8 + Board_12_1_8 + Board_12_2_8 + Board_12_3_8 + Board_12_4_8 + Board_12_5_8 + Board_12_6_8 + Board_12_7_8 + Board_12_8_8 + Board_12_9_8 + Board_12_10_8 + Board_12_11_8 + Board_12_12_8 = 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 + Board_11_3_5 + Board_12_3_5 + Columns_3_5 = 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 + Board_8_8_11 + Board_8_8_12 + Cells_8_8 = 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 + Board_2_10_11 + Board_2_10_12 + Cells_2_10 = 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 + Board_0_11_7 + Board_0_12_7 = 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 + Board_11_2_1 + Board_12_2_1 + Columns_2_1 = 1
inv : Board_11_11_0 + Board_11_11_1 + Board_11_11_2 + Board_11_11_3 + Board_11_11_4 + Board_11_11_5 + Board_11_11_6 + Board_11_11_7 + Board_11_11_8 + Board_11_11_9 + Board_11_11_10 + Board_11_11_11 + Board_11_11_12 + Cells_11_11 = 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 + Board_8_11_9 + Board_8_12_9 = 1
inv : Board_0_8_12 + Board_1_8_12 + Board_2_8_12 + Board_3_8_12 + Board_4_8_12 + Board_5_8_12 + Board_6_8_12 + Board_7_8_12 + Board_8_8_12 + Board_9_8_12 + Board_10_8_12 + Board_11_8_12 + Board_12_8_12 + Columns_8_12 = 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 + Board_6_11_3 + Board_6_12_3 = 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 + Board_4_8_11 + Board_4_8_12 + Cells_4_8 = 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 + Board_8_5_11 + Board_8_5_12 + Cells_8_5 = 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 + Board_10_11_2 + Board_10_12_2 = 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 + Board_5_11_7 + Board_5_12_7 = 1
inv : Rows_12_7 + Board_12_0_7 + Board_12_1_7 + Board_12_2_7 + Board_12_3_7 + Board_12_4_7 + Board_12_5_7 + Board_12_6_7 + Board_12_7_7 + Board_12_8_7 + Board_12_9_7 + Board_12_10_7 + Board_12_11_7 + Board_12_12_7 = 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 + Board_5_6_11 + Board_5_6_12 + Cells_5_6 = 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 + Board_3_11_0 + Board_3_12_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 + Board_11_9_3 + Board_12_9_3 + Columns_9_3 = 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 + Board_11_5_3 + Board_12_5_3 + Columns_5_3 = 1
inv : Board_10_12_0 + Board_10_12_1 + Board_10_12_2 + Board_10_12_3 + Board_10_12_4 + Board_10_12_5 + Board_10_12_6 + Board_10_12_7 + Board_10_12_8 + Board_10_12_9 + Board_10_12_10 + Board_10_12_11 + Board_10_12_12 + Cells_10_12 = 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 + Board_11_1_3 + Board_12_1_3 + Columns_1_3 = 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 + Board_11_3_3 + Board_12_3_3 + Columns_3_3 = 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 + Board_2_11_4 + Board_2_12_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 + Board_6_9_11 + Board_6_9_12 + Cells_6_9 = 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 + Board_2_1_11 + Board_2_1_12 + Cells_2_1 = 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 + Board_1_11_8 + Board_1_12_8 = 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 + Board_11_7_3 + Board_12_7_3 + Columns_7_3 = 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 + Board_2_11_6 + Board_2_12_6 = 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 + Board_0_5_11 + Board_0_5_12 + Cells_0_5 = 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 + Board_11_3_1 + Board_12_3_1 + Columns_3_1 = 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 + Board_5_11_5 + Board_5_12_5 = 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 + Board_1_11_6 + Board_1_12_6 = 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 + Board_11_7_1 + Board_12_7_1 + Columns_7_1 = 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 + Board_1_9_11 + Board_1_9_12 + Cells_1_9 = 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 + Board_0_11_1 + Board_0_12_1 = 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 + Board_9_11_6 + Board_9_12_6 = 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 + Board_4_2_11 + Board_4_2_12 + Cells_4_2 = 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 + Board_11_1_5 + Board_12_1_5 + Columns_1_5 = 1
inv : Board_0_11_1 + Board_1_11_1 + Board_2_11_1 + Board_3_11_1 + Board_4_11_1 + Board_5_11_1 + Board_6_11_1 + Board_7_11_1 + Board_8_11_1 + Board_9_11_1 + Board_10_11_1 + Board_11_11_1 + Board_12_11_1 + Columns_11_1 = 1
inv : Board_0_12_3 + Board_1_12_3 + Board_2_12_3 + Board_3_12_3 + Board_4_12_3 + Board_5_12_3 + Board_6_12_3 + Board_7_12_3 + Board_8_12_3 + Board_9_12_3 + Board_10_12_3 + Board_11_12_3 + Board_12_12_3 + Columns_12_3 = 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 + Board_4_11_0 + Board_4_12_0 = 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 + Board_9_11_4 + Board_9_12_4 = 1
inv : Board_0_10_12 + Board_1_10_12 + Board_2_10_12 + Board_3_10_12 + Board_4_10_12 + Board_5_10_12 + Board_6_10_12 + Board_7_10_12 + Board_8_10_12 + Board_9_10_12 + Board_10_10_12 + Board_11_10_12 + Board_12_10_12 + Columns_10_12 = 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 + Board_11_0_1 + Board_12_0_1 + Columns_0_1 = 1
inv : Board_0_3_12 + Board_1_3_12 + Board_2_3_12 + Board_3_3_12 + Board_4_3_12 + Board_5_3_12 + Board_6_3_12 + Board_7_3_12 + Board_8_3_12 + Board_9_3_12 + Board_10_3_12 + Board_11_3_12 + Board_12_3_12 + Columns_3_12 = 1
inv : Board_0_5_12 + Board_1_5_12 + Board_2_5_12 + Board_3_5_12 + Board_4_5_12 + Board_5_5_12 + Board_6_5_12 + Board_7_5_12 + Board_8_5_12 + Board_9_5_12 + Board_10_5_12 + Board_11_5_12 + Board_12_5_12 + Columns_5_12 = 1
inv : Board_5_12_0 + Board_5_12_1 + Board_5_12_2 + Board_5_12_3 + Board_5_12_4 + Board_5_12_5 + Board_5_12_6 + Board_5_12_7 + Board_5_12_8 + Board_5_12_9 + Board_5_12_10 + Board_5_12_11 + Board_5_12_12 + Cells_5_12 = 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 + Board_7_1_11 + Board_7_1_12 + Cells_7_1 = 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 + Board_4_11_7 + Board_4_12_7 = 1
inv : Board_0_12_12 + Board_1_12_12 + Board_2_12_12 + Board_3_12_12 + Board_4_12_12 + Board_5_12_12 + Board_6_12_12 + Board_7_12_12 + Board_8_12_12 + Board_9_12_12 + Board_10_12_12 + Board_11_12_12 + Board_12_12_12 + Columns_12_12 = 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 + Board_6_10_11 + Board_6_10_12 + Cells_6_10 = 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 + Board_1_8_11 + Board_1_8_12 + Cells_1_8 = 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 + Board_11_6_5 + Board_12_6_5 + Columns_6_5 = 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 + Board_11_8_5 + Board_12_8_5 + Columns_8_5 = 1
inv : Rows_3_11 + Board_3_0_11 + Board_3_1_11 + Board_3_2_11 + Board_3_3_11 + Board_3_4_11 + Board_3_5_11 + Board_3_6_11 + Board_3_7_11 + Board_3_8_11 + Board_3_9_11 + Board_3_10_11 + Board_3_11_11 + Board_3_12_11 = 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 + Board_8_11_6 + Board_8_12_6 = 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 + Board_3_4_11 + Board_3_4_12 + Cells_3_4 = 1
inv : Rows_11_7 + Board_11_0_7 + Board_11_1_7 + Board_11_2_7 + Board_11_3_7 + Board_11_4_7 + Board_11_5_7 + Board_11_6_7 + Board_11_7_7 + Board_11_8_7 + Board_11_9_7 + Board_11_10_7 + Board_11_11_7 + Board_11_12_7 = 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 + Board_7_11_10 + Board_7_12_10 = 1
inv : Rows_12_5 + Board_12_0_5 + Board_12_1_5 + Board_12_2_5 + Board_12_3_5 + Board_12_4_5 + Board_12_5_5 + Board_12_6_5 + Board_12_7_5 + Board_12_8_5 + Board_12_9_5 + Board_12_10_5 + Board_12_11_5 + Board_12_12_5 = 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 + Board_9_9_11 + Board_9_9_12 + Cells_9_9 = 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 + Board_7_11_8 + Board_7_12_8 = 1
inv : Rows_11_9 + Board_11_0_9 + Board_11_1_9 + Board_11_2_9 + Board_11_3_9 + Board_11_4_9 + Board_11_5_9 + Board_11_6_9 + Board_11_7_9 + Board_11_8_9 + Board_11_9_9 + Board_11_10_9 + Board_11_11_9 + Board_11_12_9 = 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 + Board_11_6_7 + Board_12_6_7 + Columns_6_7 = 1
inv : Board_5_11_0 + Board_5_11_1 + Board_5_11_2 + Board_5_11_3 + Board_5_11_4 + Board_5_11_5 + Board_5_11_6 + Board_5_11_7 + Board_5_11_8 + Board_5_11_9 + Board_5_11_10 + Board_5_11_11 + Board_5_11_12 + Cells_5_11 = 1
inv : Board_0_11_10 + Board_1_11_10 + Board_2_11_10 + Board_3_11_10 + Board_4_11_10 + Board_5_11_10 + Board_6_11_10 + Board_7_11_10 + Board_8_11_10 + Board_9_11_10 + Board_10_11_10 + Board_11_11_10 + Board_12_11_10 + Columns_11_10 = 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 + Board_4_7_11 + Board_4_7_12 + Cells_4_7 = 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 + Board_7_2_11 + Board_7_2_12 + Cells_7_2 = 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 + Board_11_0_7 + Board_12_0_7 + Columns_0_7 = 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 + Board_11_5_1 + Board_12_5_1 + Columns_5_1 = 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 + Board_5_7_11 + Board_5_7_12 + Cells_5_7 = 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 + Board_8_6_11 + Board_8_6_12 + Cells_8_6 = 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 + Board_0_11_10 + Board_0_12_10 = 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 + Board_8_11_8 + Board_8_12_8 = 1
inv : Board_2_12_0 + Board_2_12_1 + Board_2_12_2 + Board_2_12_3 + Board_2_12_4 + Board_2_12_5 + Board_2_12_6 + Board_2_12_7 + Board_2_12_8 + Board_2_12_9 + Board_2_12_10 + Board_2_12_11 + Board_2_12_12 + Cells_2_12 = 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 + Board_4_3_11 + Board_4_3_12 + Cells_4_3 = 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 + Board_4_11_9 + Board_4_12_9 = 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 + Board_0_11_8 + Board_0_12_8 = 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 + Board_5_10_11 + Board_5_10_12 + Cells_5_10 = 1
inv : Rows_9_12 + Board_9_0_12 + Board_9_1_12 + Board_9_2_12 + Board_9_3_12 + Board_9_4_12 + Board_9_5_12 + Board_9_6_12 + Board_9_7_12 + Board_9_8_12 + Board_9_9_12 + Board_9_10_12 + Board_9_11_12 + Board_9_12_12 = 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 + Board_1_10_11 + Board_1_10_12 + Cells_1_10 = 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 + Board_11_2_8 + Board_12_2_8 + Columns_2_8 = 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 + Board_0_7_11 + Board_0_7_12 + Cells_0_7 = 1
inv : Rows_2_12 + Board_2_0_12 + Board_2_1_12 + Board_2_2_12 + Board_2_3_12 + Board_2_4_12 + Board_2_5_12 + Board_2_6_12 + Board_2_7_12 + Board_2_8_12 + Board_2_9_12 + Board_2_10_12 + Board_2_11_12 + Board_2_12_12 = 1
inv : Board_11_0_0 + Board_11_0_1 + Board_11_0_2 + Board_11_0_3 + Board_11_0_4 + Board_11_0_5 + Board_11_0_6 + Board_11_0_7 + Board_11_0_8 + Board_11_0_9 + Board_11_0_10 + Board_11_0_11 + Board_11_0_12 + Cells_11_0 = 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 + Board_9_7_11 + Board_9_7_12 + Cells_9_7 = 1
inv : Rows_6_11 + Board_6_0_11 + Board_6_1_11 + Board_6_2_11 + Board_6_3_11 + Board_6_4_11 + Board_6_5_11 + Board_6_6_11 + Board_6_7_11 + Board_6_8_11 + Board_6_9_11 + Board_6_10_11 + Board_6_11_11 + Board_6_12_11 = 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 + Board_11_2_7 + Board_12_2_7 + Columns_2_7 = 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 + Board_11_5_10 + Board_12_5_10 + Columns_5_10 = 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 + Board_10_11_10 + Board_10_12_10 = 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 + Board_11_9_10 + Board_12_9_10 + Columns_9_10 = 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 + Board_3_0_11 + Board_3_0_12 + Cells_3_0 = 1
inv : Board_12_1_0 + Board_12_1_1 + Board_12_1_2 + Board_12_1_3 + Board_12_1_4 + Board_12_1_5 + Board_12_1_6 + Board_12_1_7 + Board_12_1_8 + Board_12_1_9 + Board_12_1_10 + Board_12_1_11 + Board_12_1_12 + Cells_12_1 = 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 + Board_11_9_9 + Board_12_9_9 + Columns_9_9 = 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 + Board_4_6_11 + Board_4_6_12 + Cells_4_6 = 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 + Board_4_4_11 + Board_4_4_12 + Cells_4_4 = 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 + Board_7_11_9 + Board_7_12_9 = 1
inv : Board_0_1_12 + Board_1_1_12 + Board_2_1_12 + Board_3_1_12 + Board_4_1_12 + Board_5_1_12 + Board_6_1_12 + Board_7_1_12 + Board_8_1_12 + Board_9_1_12 + Board_10_1_12 + Board_11_1_12 + Board_12_1_12 + Columns_1_12 = 1
inv : Board_0_12_5 + Board_1_12_5 + Board_2_12_5 + Board_3_12_5 + Board_4_12_5 + Board_5_12_5 + Board_6_12_5 + Board_7_12_5 + Board_8_12_5 + Board_9_12_5 + Board_10_12_5 + Board_11_12_5 + Board_12_12_5 + Columns_12_5 = 1
inv : Rows_11_8 + Board_11_0_8 + Board_11_1_8 + Board_11_2_8 + Board_11_3_8 + Board_11_4_8 + Board_11_5_8 + Board_11_6_8 + Board_11_7_8 + Board_11_8_8 + Board_11_9_8 + Board_11_10_8 + Board_11_11_8 + Board_11_12_8 = 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 + Board_11_10_5 + Board_12_10_5 + Columns_10_5 = 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 + Board_5_8_11 + Board_5_8_12 + Cells_5_8 = 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 + Board_8_3_11 + Board_8_3_12 + Cells_8_3 = 1
inv : Board_12_3_0 + Board_12_3_1 + Board_12_3_2 + Board_12_3_3 + Board_12_3_4 + Board_12_3_5 + Board_12_3_6 + Board_12_3_7 + Board_12_3_8 + Board_12_3_9 + Board_12_3_10 + Board_12_3_11 + Board_12_3_12 + Cells_12_3 = 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 + Board_3_11_10 + Board_3_12_10 = 1
inv : Rows_10_11 + Board_10_0_11 + Board_10_1_11 + Board_10_2_11 + Board_10_3_11 + Board_10_4_11 + Board_10_5_11 + Board_10_6_11 + Board_10_7_11 + Board_10_8_11 + Board_10_9_11 + Board_10_10_11 + Board_10_11_11 + Board_10_12_11 = 1
inv : Board_1_11_0 + Board_1_11_1 + Board_1_11_2 + Board_1_11_3 + Board_1_11_4 + Board_1_11_5 + Board_1_11_6 + Board_1_11_7 + Board_1_11_8 + Board_1_11_9 + Board_1_11_10 + Board_1_11_11 + Board_1_11_12 + Cells_1_11 = 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 + Board_11_8_6 + Board_12_8_6 + Columns_8_6 = 1
inv : Rows_6_12 + Board_6_0_12 + Board_6_1_12 + Board_6_2_12 + Board_6_3_12 + Board_6_4_12 + Board_6_5_12 + Board_6_6_12 + Board_6_7_12 + Board_6_8_12 + Board_6_9_12 + Board_6_10_12 + Board_6_11_12 + Board_6_12_12 = 1
inv : Board_10_11_0 + Board_10_11_1 + Board_10_11_2 + Board_10_11_3 + Board_10_11_4 + Board_10_11_5 + Board_10_11_6 + Board_10_11_7 + Board_10_11_8 + Board_10_11_9 + Board_10_11_10 + Board_10_11_11 + Board_10_11_12 + Cells_10_11 = 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 + Board_11_6_6 + Board_12_6_6 + Columns_6_6 = 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 + Board_0_6_11 + Board_0_6_12 + Cells_0_6 = 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 + Board_9_8_11 + Board_9_8_12 + Cells_9_8 = 1
inv : Board_0_3_11 + Board_1_3_11 + Board_2_3_11 + Board_3_3_11 + Board_4_3_11 + Board_5_3_11 + Board_6_3_11 + Board_7_3_11 + Board_8_3_11 + Board_9_3_11 + Board_10_3_11 + Board_11_3_11 + Board_12_3_11 + Columns_3_11 = 1
inv : Board_0_5_11 + Board_1_5_11 + Board_2_5_11 + Board_3_5_11 + Board_4_5_11 + Board_5_5_11 + Board_6_5_11 + Board_7_5_11 + Board_8_5_11 + Board_9_5_11 + Board_10_5_11 + Board_11_5_11 + Board_12_5_11 + Columns_5_11 = 1
inv : Rows_11_0 + Board_11_0_0 + Board_11_1_0 + Board_11_2_0 + Board_11_3_0 + Board_11_4_0 + Board_11_5_0 + Board_11_6_0 + Board_11_7_0 + Board_11_8_0 + Board_11_9_0 + Board_11_10_0 + Board_11_11_0 + Board_11_12_0 = 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 + Board_7_11_1 + Board_7_12_1 = 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 + Board_11_4_7 + Board_12_4_7 + Columns_4_7 = 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 + Board_7_0_11 + Board_7_0_12 + Cells_7_0 = 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 + Board_8_11_7 + Board_8_12_7 = 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 + Board_5_9_11 + Board_5_9_12 + Cells_5_9 = 1
inv : Rows_12_6 + Board_12_0_6 + Board_12_1_6 + Board_12_2_6 + Board_12_3_6 + Board_12_4_6 + Board_12_5_6 + Board_12_6_6 + Board_12_7_6 + Board_12_8_6 + Board_12_9_6 + Board_12_10_6 + Board_12_11_6 + Board_12_12_6 = 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 + Board_3_11_2 + Board_3_12_2 = 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 + Board_8_4_11 + Board_8_4_12 + Cells_8_4 = 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 + Board_11_7_10 + Board_12_7_10 + Columns_7_10 = 1
inv : Board_12_2_0 + Board_12_2_1 + Board_12_2_2 + Board_12_2_3 + Board_12_2_4 + Board_12_2_5 + Board_12_2_6 + Board_12_2_7 + Board_12_2_8 + Board_12_2_9 + Board_12_2_10 + Board_12_2_11 + Board_12_2_12 + Cells_12_2 = 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 + Board_11_9_1 + Board_12_9_1 + Columns_9_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 + Board_11_0_8 + Board_12_0_8 + Columns_0_8 = 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 + Board_3_1_11 + Board_3_1_12 + Cells_3_1 = 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 + Board_0_11_9 + Board_0_12_9 = 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 + Board_4_5_11 + Board_4_5_12 + Cells_4_5 = 1
inv : Board_0_11_9 + Board_1_11_9 + Board_2_11_9 + Board_3_11_9 + Board_4_11_9 + Board_5_11_9 + Board_6_11_9 + Board_7_11_9 + Board_8_11_9 + Board_9_11_9 + Board_10_11_9 + Board_11_11_9 + Board_12_11_9 + Columns_11_9 = 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 + Board_4_11_8 + Board_4_12_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 + Board_11_10_2 + Board_12_10_2 + Columns_10_2 = 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 + Board_1_6_11 + Board_1_6_12 + Cells_1_6 = 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 + Board_11_6_2 + Board_12_6_2 + Columns_6_2 = 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 + Board_2_4_11 + Board_2_4_12 + Cells_2_4 = 1
inv : Board_11_7_0 + Board_11_7_1 + Board_11_7_2 + Board_11_7_3 + Board_11_7_4 + Board_11_7_5 + Board_11_7_6 + Board_11_7_7 + Board_11_7_8 + Board_11_7_9 + Board_11_7_10 + Board_11_7_11 + Board_11_7_12 + Cells_11_7 = 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 + Board_11_8_2 + Board_12_8_2 + Columns_8_2 = 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 + Board_3_11_1 + Board_3_12_1 = 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 + Board_3_2_11 + Board_3_2_12 + Cells_3_2 = 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 + Board_10_9_11 + Board_10_9_12 + Cells_10_9 = 1
inv : Board_0_12_2 + Board_1_12_2 + Board_2_12_2 + Board_3_12_2 + Board_4_12_2 + Board_5_12_2 + Board_6_12_2 + Board_7_12_2 + Board_8_12_2 + Board_9_12_2 + Board_10_12_2 + Board_11_12_2 + Board_12_12_2 + Columns_12_2 = 1
inv : Board_9_11_0 + Board_9_11_1 + Board_9_11_2 + Board_9_11_3 + Board_9_11_4 + Board_9_11_5 + Board_9_11_6 + Board_9_11_7 + Board_9_11_8 + Board_9_11_9 + Board_9_11_10 + Board_9_11_11 + Board_9_11_12 + Cells_9_11 = 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 + Board_2_11_5 + Board_2_12_5 = 1
inv : Rows_11_10 + Board_11_0_10 + Board_11_1_10 + Board_11_2_10 + Board_11_3_10 + Board_11_4_10 + Board_11_5_10 + Board_11_6_10 + Board_11_7_10 + Board_11_8_10 + Board_11_9_10 + Board_11_10_10 + Board_11_11_10 + Board_11_12_10 = 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 + Board_1_11_9 + Board_1_12_9 = 1
inv : Board_12_5_0 + Board_12_5_1 + Board_12_5_2 + Board_12_5_3 + Board_12_5_4 + Board_12_5_5 + Board_12_5_6 + Board_12_5_7 + Board_12_5_8 + Board_12_5_9 + Board_12_5_10 + Board_12_5_11 + Board_12_5_12 + Cells_12_5 = 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 + Board_7_11_0 + Board_7_12_0 = 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 + Board_5_11_8 + Board_5_12_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 + Board_0_8_11 + Board_0_8_12 + Cells_0_8 = 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 + Board_6_11_4 + Board_6_12_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 + Board_11_1_4 + Board_12_1_4 + Columns_1_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 + Board_11_5_4 + Board_12_5_4 + Columns_5_4 = 1
inv : Rows_3_12 + Board_3_0_12 + Board_3_1_12 + Board_3_2_12 + Board_3_3_12 + Board_3_4_12 + Board_3_5_12 + Board_3_6_12 + Board_3_7_12 + Board_3_8_12 + Board_3_9_12 + Board_3_10_12 + Board_3_11_12 + Board_3_12_12 = 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 + Board_9_0_11 + Board_9_0_12 + Cells_9_0 = 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 + Board_11_7_0 + Board_12_7_0 + Columns_7_0 = 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 + Board_9_11_7 + Board_9_12_7 = 1
inv : Rows_7_11 + Board_7_0_11 + Board_7_1_11 + Board_7_2_11 + Board_7_3_11 + Board_7_4_11 + Board_7_5_11 + Board_7_6_11 + Board_7_7_11 + Board_7_8_11 + Board_7_9_11 + Board_7_10_11 + Board_7_11_11 + Board_7_12_11 = 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 + Board_4_0_11 + Board_4_0_12 + Cells_4_0 = 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 + Board_11_3_0 + Board_12_3_0 + Columns_3_0 = 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 + Board_9_11_3 + Board_9_12_3 = 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 + Board_11_0_2 + Board_12_0_2 + Columns_0_2 = 1
inv : Board_0_11_0 + Board_1_11_0 + Board_2_11_0 + Board_3_11_0 + Board_4_11_0 + Board_5_11_0 + Board_6_11_0 + Board_7_11_0 + Board_8_11_0 + Board_9_11_0 + Board_10_11_0 + Board_11_11_0 + Board_12_11_0 + Columns_11_0 = 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 + Board_7_5_11 + Board_7_5_12 + Cells_7_5 = 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 + Board_11_4_2 + Board_12_4_2 + Columns_4_2 = 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 + Board_5_11_4 + Board_5_12_4 = 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 + Board_2_11_1 + Board_2_12_1 = 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 + Board_0_11_2 + Board_0_12_2 = 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 + Board_4_11_1 + Board_4_12_1 = 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 + Board_9_1_11 + Board_9_1_12 + Cells_9_1 = 1
inv : Board_3_12_0 + Board_3_12_1 + Board_3_12_2 + Board_3_12_3 + Board_3_12_4 + Board_3_12_5 + Board_3_12_6 + Board_3_12_7 + Board_3_12_8 + Board_3_12_9 + Board_3_12_10 + Board_3_12_11 + Board_3_12_12 + Cells_3_12 = 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 + Board_11_10_6 + Board_12_10_6 + Columns_10_6 = 1
inv : Board_0_9_11 + Board_1_9_11 + Board_2_9_11 + Board_3_9_11 + Board_4_9_11 + Board_5_9_11 + Board_6_9_11 + Board_7_9_11 + Board_8_9_11 + Board_9_9_11 + Board_10_9_11 + Board_11_9_11 + Board_12_9_11 + Columns_9_11 = 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 + Board_11_1_0 + Board_12_1_0 + Columns_1_0 = 1
inv : Board_0_7_11 + Board_1_7_11 + Board_2_7_11 + Board_3_7_11 + Board_4_7_11 + Board_5_7_11 + Board_6_7_11 + Board_7_7_11 + Board_8_7_11 + Board_9_7_11 + Board_10_7_11 + Board_11_7_11 + Board_12_7_11 + Columns_7_11 = 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 + Board_0_9_11 + Board_0_9_12 + Cells_0_9 = 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 + Board_6_6_11 + Board_6_6_12 + Cells_6_6 = 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 + Board_10_10_11 + Board_10_10_12 + Cells_10_10 = 1
inv : Board_0_11_4 + Board_1_11_4 + Board_2_11_4 + Board_3_11_4 + Board_4_11_4 + Board_5_11_4 + Board_6_11_4 + Board_7_11_4 + Board_8_11_4 + Board_9_11_4 + Board_10_11_4 + Board_11_11_4 + Board_12_11_4 + Columns_11_4 = 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 + Board_11_2_6 + Board_12_2_6 + Columns_2_6 = 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 + Board_2_3_11 + Board_2_3_12 + Cells_2_3 = 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 + Board_11_4_6 + Board_12_4_6 + Columns_4_6 = 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 + Board_11_9_4 + Board_12_9_4 + Columns_9_4 = 1
inv : Board_0_1_11 + Board_1_1_11 + Board_2_1_11 + Board_3_1_11 + Board_4_1_11 + Board_5_1_11 + Board_6_1_11 + Board_7_1_11 + Board_8_1_11 + Board_9_1_11 + Board_10_1_11 + Board_11_1_11 + Board_12_1_11 + Columns_1_11 = 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 + Board_6_7_11 + Board_6_7_12 + Cells_6_7 = 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 + Board_8_2_11 + Board_8_2_12 + Cells_8_2 = 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 + Board_10_11_3 + Board_10_12_3 = 1
inv : Board_4_11_0 + Board_4_11_1 + Board_4_11_2 + Board_4_11_3 + Board_4_11_4 + Board_4_11_5 + Board_4_11_6 + Board_4_11_7 + Board_4_11_8 + Board_4_11_9 + Board_4_11_10 + Board_4_11_11 + Board_4_11_12 + Cells_4_11 = 1
inv : Rows_11_3 + Board_11_0_3 + Board_11_1_3 + Board_11_2_3 + Board_11_3_3 + Board_11_4_3 + Board_11_5_3 + Board_11_6_3 + Board_11_7_3 + Board_11_8_3 + Board_11_9_3 + Board_11_10_3 + Board_11_11_3 + Board_11_12_3 = 1
inv : Board_12_4_0 + Board_12_4_1 + Board_12_4_2 + Board_12_4_3 + Board_12_4_4 + Board_12_4_5 + Board_12_4_6 + Board_12_4_7 + Board_12_4_8 + Board_12_4_9 + Board_12_4_10 + Board_12_4_11 + Board_12_4_12 + Cells_12_4 = 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 + Board_3_3_11 + Board_3_3_12 + Cells_3_3 = 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 + Board_11_3_4 + Board_12_3_4 + Columns_3_4 = 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 + Board_11_3_8 + Board_12_3_8 + Columns_3_8 = 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 + Board_3_11_5 + Board_3_12_5 = 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 + Board_11_9_0 + Board_12_9_0 + Columns_9_0 = 1
inv : Board_0_11_8 + Board_1_11_8 + Board_2_11_8 + Board_3_11_8 + Board_4_11_8 + Board_5_11_8 + Board_6_11_8 + Board_7_11_8 + Board_8_11_8 + Board_9_11_8 + Board_10_11_8 + Board_11_11_8 + Board_12_11_8 + Columns_11_8 = 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 + Board_11_2_2 + Board_12_2_2 + Columns_2_2 = 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 + Board_6_11_0 + Board_6_12_0 = 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 + Board_7_11_4 + Board_7_12_4 = 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 + Board_8_1_11 + Board_8_1_12 + Cells_8_1 = 1
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 + Board_5_11_0 + Board_5_12_0 = 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 + Board_11_2_9 + Board_12_2_9 + Columns_2_9 = 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 + Board_11_0_9 + Board_12_0_9 + Columns_0_9 = 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 + Board_1_11_1 + Board_1_12_1 = 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 + Board_11_6_9 + Board_12_6_9 + Columns_6_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 + Board_11_4_9 + Board_12_4_9 + Columns_4_9 = 1
inv : Rows_9_11 + Board_9_0_11 + Board_9_1_11 + Board_9_2_11 + Board_9_3_11 + Board_9_4_11 + Board_9_5_11 + Board_9_6_11 + Board_9_7_11 + Board_9_8_11 + Board_9_9_11 + Board_9_10_11 + Board_9_11_11 + Board_9_12_11 = 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 + Board_9_10_11 + Board_9_10_12 + Cells_9_10 = 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 + Board_6_8_11 + Board_6_8_12 + Cells_6_8 = 1
inv : Board_12_6_0 + Board_12_6_1 + Board_12_6_2 + Board_12_6_3 + Board_12_6_4 + Board_12_6_5 + Board_12_6_6 + Board_12_6_7 + Board_12_6_8 + Board_12_6_9 + Board_12_6_10 + Board_12_6_11 + Board_12_6_12 + Cells_12_6 = 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 + Board_3_11_8 + Board_3_12_8 = 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 + Board_11_9_7 + Board_12_9_7 + Columns_9_7 = 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 + Board_3_11_9 + Board_3_12_9 = 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 + Board_1_7_11 + Board_1_7_12 + Cells_1_7 = 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 + Board_10_8_11 + Board_10_8_12 + Cells_10_8 = 1
inv : Rows_12_3 + Board_12_0_3 + Board_12_1_3 + Board_12_2_3 + Board_12_3_3 + Board_12_4_3 + Board_12_5_3 + Board_12_6_3 + Board_12_7_3 + Board_12_8_3 + Board_12_9_3 + Board_12_10_3 + Board_12_11_3 + Board_12_12_3 = 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 + Board_10_0_11 + Board_10_0_12 + Cells_10_0 = 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 + Board_9_2_11 + Board_9_2_12 + Cells_9_2 = 1
inv : Board_0_12_6 + Board_1_12_6 + Board_2_12_6 + Board_3_12_6 + Board_4_12_6 + Board_5_12_6 + Board_6_12_6 + Board_7_12_6 + Board_8_12_6 + Board_9_12_6 + Board_10_12_6 + Board_11_12_6 + Board_12_12_6 + Columns_12_6 = 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 + Board_11_5_8 + Board_12_5_8 + Columns_5_8 = 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 + Board_7_3_11 + Board_7_3_12 + Cells_7_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 + Board_11_2_10 + Board_12_2_10 + Columns_2_10 = 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 + Board_8_11_0 + Board_8_12_0 = 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 + Board_11_9_8 + Board_12_9_8 + Columns_9_8 = 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 + Board_1_5_11 + Board_1_5_12 + Cells_1_5 = 1
inv : Board_12_7_0 + Board_12_7_1 + Board_12_7_2 + Board_12_7_3 + Board_12_7_4 + Board_12_7_5 + Board_12_7_6 + Board_12_7_7 + Board_12_7_8 + Board_12_7_9 + Board_12_7_10 + Board_12_7_11 + Board_12_7_12 + Cells_12_7 = 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 + Board_3_11_4 + Board_3_12_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 + Board_4_10_11 + Board_4_10_12 + Cells_4_10 = 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 + Board_7_11_3 + Board_7_12_3 = 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 + Board_1_11_5 + Board_1_12_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 + Board_10_7_11 + Board_10_7_12 + Cells_10_7 = 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 + Board_11_4_5 + Board_12_4_5 + Columns_4_5 = 1
inv : Board_9_12_0 + Board_9_12_1 + Board_9_12_2 + Board_9_12_3 + Board_9_12_4 + Board_9_12_5 + Board_9_12_6 + Board_9_12_7 + Board_9_12_8 + Board_9_12_9 + Board_9_12_10 + Board_9_12_11 + Board_9_12_12 + Cells_9_12 = 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 + Board_0_10_11 + Board_0_10_12 + Cells_0_10 = 1
inv : Rows_11_2 + Board_11_0_2 + Board_11_1_2 + Board_11_2_2 + Board_11_3_2 + Board_11_4_2 + Board_11_5_2 + Board_11_6_2 + Board_11_7_2 + Board_11_8_2 + Board_11_9_2 + Board_11_10_2 + Board_11_11_2 + Board_11_12_2 = 1
inv : Board_0_11_11 + Board_1_11_11 + Board_2_11_11 + Board_3_11_11 + Board_4_11_11 + Board_5_11_11 + Board_6_11_11 + Board_7_11_11 + Board_8_11_11 + Board_9_11_11 + Board_10_11_11 + Board_11_11_11 + Board_12_11_11 + Columns_11_11 = 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 + Board_2_11_2 + Board_2_12_2 = 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 + Board_11_2_5 + Board_12_2_5 + Columns_2_5 = 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 + Board_11_0_6 + Board_12_0_6 + Columns_0_6 = 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 + Board_2_2_11 + Board_2_2_12 + Cells_2_2 = 1
inv : Board_0_9_12 + Board_1_9_12 + Board_2_9_12 + Board_3_9_12 + Board_4_9_12 + Board_5_9_12 + Board_6_9_12 + Board_7_9_12 + Board_8_9_12 + Board_9_9_12 + Board_10_9_12 + Board_11_9_12 + Board_12_9_12 + Columns_9_12 = 1
inv : Board_0_7_12 + Board_1_7_12 + Board_2_7_12 + Board_3_7_12 + Board_4_7_12 + Board_5_7_12 + Board_6_7_12 + Board_7_7_12 + Board_8_7_12 + Board_9_7_12 + Board_10_7_12 + Board_11_7_12 + Board_12_7_12 + Columns_7_12 = 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 + Board_8_0_11 + Board_8_0_12 + Cells_8_0 = 1
inv : Rows_11_6 + Board_11_0_6 + Board_11_1_6 + Board_11_2_6 + Board_11_3_6 + Board_11_4_6 + Board_11_5_6 + Board_11_6_6 + Board_11_7_6 + Board_11_8_6 + Board_11_9_6 + Board_11_10_6 + Board_11_11_6 + Board_11_12_6 = 1
inv : Board_0_11_7 + Board_1_11_7 + Board_2_11_7 + Board_3_11_7 + Board_4_11_7 + Board_5_11_7 + Board_6_11_7 + Board_7_11_7 + Board_8_11_7 + Board_9_11_7 + Board_10_11_7 + Board_11_11_7 + Board_12_11_7 + Columns_11_7 = 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 + Board_11_7_4 + Board_12_7_4 + Columns_7_4 = 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 + Board_6_11_1 + Board_6_12_1 = 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 + Board_7_11_7 + Board_7_12_7 = 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 + Board_11_5_0 + Board_12_5_0 + Columns_5_0 = 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 + Board_4_9_11 + Board_4_9_12 + Cells_4_9 = 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 + Board_4_1_11 + Board_4_1_12 + Cells_4_1 = 1
inv : Rows_5_12 + Board_5_0_12 + Board_5_1_12 + Board_5_2_12 + Board_5_3_12 + Board_5_4_12 + Board_5_5_12 + Board_5_6_12 + Board_5_7_12 + Board_5_8_12 + Board_5_9_12 + Board_5_10_12 + Board_5_11_12 + Board_5_12_12 = 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 + Board_11_7_8 + Board_12_7_8 + Columns_7_8 = 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 + Board_7_4_11 + Board_7_4_12 + Cells_7_4 = 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 + Board_11_0_10 + Board_12_0_10 + Columns_0_10 = 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 + Board_10_11_0 + Board_10_12_0 = 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 + Board_9_3_11 + Board_9_3_12 + Cells_9_3 = 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 + Board_10_1_11 + Board_10_1_12 + Cells_10_1 = 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 + Board_3_10_11 + Board_3_10_12 + Cells_3_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 + Board_11_0_3 + Board_12_0_3 + Columns_0_3 = 1
inv : Rows_11_11 + Board_11_0_11 + Board_11_1_11 + Board_11_2_11 + Board_11_3_11 + Board_11_4_11 + Board_11_5_11 + Board_11_6_11 + Board_11_7_11 + Board_11_8_11 + Board_11_9_11 + Board_11_10_11 + Board_11_11_11 + Board_11_12_11 = 1
inv : Board_0_11_0 + Board_0_11_1 + Board_0_11_2 + Board_0_11_3 + Board_0_11_4 + Board_0_11_5 + Board_0_11_6 + Board_0_11_7 + Board_0_11_8 + Board_0_11_9 + Board_0_11_10 + Board_0_11_11 + Board_0_11_12 + Cells_0_11 = 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 + Board_6_4_11 + Board_6_4_12 + Cells_6_4 = 1
inv : Rows_4_11 + Board_4_0_11 + Board_4_1_11 + Board_4_2_11 + Board_4_3_11 + Board_4_4_11 + Board_4_5_11 + Board_4_6_11 + Board_4_7_11 + Board_4_8_11 + Board_4_9_11 + Board_4_10_11 + Board_4_11_11 + Board_4_12_11 = 1
inv : Board_0_11_3 + Board_1_11_3 + Board_2_11_3 + Board_3_11_3 + Board_4_11_3 + Board_5_11_3 + Board_6_11_3 + Board_7_11_3 + Board_8_11_3 + Board_9_11_3 + Board_10_11_3 + Board_11_11_3 + Board_12_11_3 + Columns_11_3 = 1
inv : Board_0_12_1 + Board_1_12_1 + Board_2_12_1 + Board_3_12_1 + Board_4_12_1 + Board_5_12_1 + Board_6_12_1 + Board_7_12_1 + Board_8_12_1 + Board_9_12_1 + Board_10_12_1 + Board_11_12_1 + Board_12_12_1 + Columns_12_1 = 1
inv : Rows_0_12 + Board_0_0_12 + Board_0_1_12 + Board_0_2_12 + Board_0_3_12 + Board_0_4_12 + Board_0_5_12 + Board_0_6_12 + Board_0_7_12 + Board_0_8_12 + Board_0_9_12 + Board_0_10_12 + Board_0_11_12 + Board_0_12_12 = 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 + Board_11_1_1 + Board_12_1_1 + Columns_1_1 = 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 + Board_2_7_11 + Board_2_7_12 + Cells_2_7 = 1
inv : Board_12_8_0 + Board_12_8_1 + Board_12_8_2 + Board_12_8_3 + Board_12_8_4 + Board_12_8_5 + Board_12_8_6 + Board_12_8_7 + Board_12_8_8 + Board_12_8_9 + Board_12_8_10 + Board_12_8_11 + Board_12_8_12 + Cells_12_8 = 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 + Board_1_3_11 + Board_1_3_12 + Cells_1_3 = 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 + Board_11_4_1 + Board_12_4_1 + Columns_4_1 = 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 + Board_10_6_11 + Board_10_6_12 + Cells_10_6 = 1
inv : Board_11_4_0 + Board_11_4_1 + Board_11_4_2 + Board_11_4_3 + Board_11_4_4 + Board_11_4_5 + Board_11_4_6 + Board_11_4_7 + Board_11_4_8 + Board_11_4_9 + Board_11_4_10 + Board_11_4_11 + Board_11_4_12 + Cells_11_4 = 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 + Board_11_8_1 + Board_12_8_1 + Columns_8_1 = 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 + Board_7_7_11 + Board_7_7_12 + Cells_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 + Board_11_4_3 + Board_12_4_3 + Columns_4_3 = 1
inv : Rows_7_12 + Board_7_0_12 + Board_7_1_12 + Board_7_2_12 + Board_7_3_12 + Board_7_4_12 + Board_7_5_12 + Board_7_6_12 + Board_7_7_12 + Board_7_8_12 + Board_7_9_12 + Board_7_10_12 + Board_7_11_12 + Board_7_12_12 = 1
inv : Board_8_11_0 + Board_8_11_1 + Board_8_11_2 + Board_8_11_3 + Board_8_11_4 + Board_8_11_5 + Board_8_11_6 + Board_8_11_7 + Board_8_11_8 + Board_8_11_9 + Board_8_11_10 + Board_8_11_11 + Board_8_11_12 + Cells_8_11 = 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 + Board_11_8_3 + Board_12_8_3 + Columns_8_3 = 1
inv : Board_11_10_0 + Board_11_10_1 + Board_11_10_2 + Board_11_10_3 + Board_11_10_4 + Board_11_10_5 + Board_11_10_6 + Board_11_10_7 + Board_11_10_8 + Board_11_10_9 + Board_11_10_10 + Board_11_10_11 + Board_11_10_12 + Cells_11_10 = 1
inv : Rows_8_12 + Board_8_0_12 + Board_8_1_12 + Board_8_2_12 + Board_8_3_12 + Board_8_4_12 + Board_8_5_12 + Board_8_6_12 + Board_8_7_12 + Board_8_8_12 + Board_8_9_12 + Board_8_10_12 + Board_8_11_12 + Board_8_12_12 = 1
inv : Board_0_4_12 + Board_1_4_12 + Board_2_4_12 + Board_3_4_12 + Board_4_4_12 + Board_5_4_12 + Board_6_4_12 + Board_7_4_12 + Board_8_4_12 + Board_9_4_12 + Board_10_4_12 + Board_11_4_12 + Board_12_4_12 + Columns_4_12 = 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 + Board_1_4_11 + Board_1_4_12 + Cells_1_4 = 1
inv : Board_0_6_12 + Board_1_6_12 + Board_2_6_12 + Board_3_6_12 + Board_4_6_12 + Board_5_6_12 + Board_6_6_12 + Board_7_6_12 + Board_8_6_12 + Board_9_6_12 + Board_10_6_12 + Board_11_6_12 + Board_12_6_12 + Columns_6_12 = 1
inv : Rows_12_11 + Board_12_0_11 + Board_12_1_11 + Board_12_2_11 + Board_12_3_11 + Board_12_4_11 + Board_12_5_11 + Board_12_6_11 + Board_12_7_11 + Board_12_8_11 + Board_12_9_11 + Board_12_10_11 + Board_12_11_11 + Board_12_12_11 = 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 + Board_11_7_5 + Board_12_7_5 + Columns_7_5 = 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 + Board_11_5_5 + Board_12_5_5 + Columns_5_5 = 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 + Board_6_3_11 + Board_6_3_12 + Cells_6_3 = 1
inv : Board_11_5_0 + Board_11_5_1 + Board_11_5_2 + Board_11_5_3 + Board_11_5_4 + Board_11_5_5 + Board_11_5_6 + Board_11_5_7 + Board_11_5_8 + Board_11_5_9 + Board_11_5_10 + Board_11_5_11 + Board_11_5_12 + Cells_11_5 = 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 + Board_5_11_9 + Board_5_12_9 = 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 + Board_11_0_5 + Board_12_0_5 + Columns_0_5 = 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 + Board_9_11_8 + Board_9_12_8 = 1
inv : Board_0_11_12 + Board_1_11_12 + Board_2_11_12 + Board_3_11_12 + Board_4_11_12 + Board_5_11_12 + Board_6_11_12 + Board_7_11_12 + Board_8_11_12 + Board_9_11_12 + Board_10_11_12 + Board_11_11_12 + Board_12_11_12 + Columns_11_12 = 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 + Board_8_11_4 + Board_8_12_4 = 1
inv : Rows_12_9 + Board_12_0_9 + Board_12_1_9 + Board_12_2_9 + Board_12_3_9 + Board_12_4_9 + Board_12_5_9 + Board_12_6_9 + Board_12_7_9 + Board_12_8_9 + Board_12_9_9 + Board_12_10_9 + Board_12_11_9 + Board_12_12_9 = 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 + Board_11_7_7 + Board_12_7_7 + Columns_7_7 = 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 + Board_9_11_10 + Board_9_12_10 = 1
inv : Board_0_12_10 + Board_1_12_10 + Board_2_12_10 + Board_3_12_10 + Board_4_12_10 + Board_5_12_10 + Board_6_12_10 + Board_7_12_10 + Board_8_12_10 + Board_9_12_10 + Board_10_12_10 + Board_11_12_10 + Board_12_12_10 + Columns_12_10 = 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 + Board_4_11_5 + Board_4_12_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 + Board_11_4_10 + Board_12_4_10 + Columns_4_10 = 1
inv : Rows_5_11 + Board_5_0_11 + Board_5_1_11 + Board_5_2_11 + Board_5_3_11 + Board_5_4_11 + Board_5_5_11 + Board_5_6_11 + Board_5_7_11 + Board_5_8_11 + Board_5_9_11 + Board_5_10_11 + Board_5_11_11 + Board_5_12_11 = 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 + Board_1_11_10 + Board_1_12_10 = 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 + Board_8_11_10 + Board_8_12_10 = 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 + Board_11_6_1 + Board_12_6_1 + Columns_6_1 = 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 + Board_0_11_6 + Board_0_12_6 = 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 + Board_11_6_3 + Board_12_6_3 + Columns_6_3 = 1
inv : Rows_1_12 + Board_1_0_12 + Board_1_1_12 + Board_1_2_12 + Board_1_3_12 + Board_1_4_12 + Board_1_5_12 + Board_1_6_12 + Board_1_7_12 + Board_1_8_12 + Board_1_9_12 + Board_1_10_12 + Board_1_11_12 + Board_1_12_12 = 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 + Board_7_6_11 + Board_7_6_12 + Cells_7_6 = 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 + Board_0_0_11 + Board_0_0_12 + Cells_0_0 = 1
inv : Board_11_9_0 + Board_11_9_1 + Board_11_9_2 + Board_11_9_3 + Board_11_9_4 + Board_11_9_5 + Board_11_9_6 + Board_11_9_7 + Board_11_9_8 + Board_11_9_9 + Board_11_9_10 + Board_11_9_11 + Board_11_9_12 + Cells_11_9 = 1
inv : Rows_11_5 + Board_11_0_5 + Board_11_1_5 + Board_11_2_5 + Board_11_3_5 + Board_11_4_5 + Board_11_5_5 + Board_11_6_5 + Board_11_7_5 + Board_11_8_5 + Board_11_9_5 + Board_11_10_5 + Board_11_11_5 + Board_11_12_5 = 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 + Board_8_10_11 + Board_8_10_12 + Cells_8_10 = 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 + Board_10_5_11 + Board_10_5_12 + Cells_10_5 = 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 + Board_0_11_5 + Board_0_12_5 = 1
inv : Rows_12_1 + Board_12_0_1 + Board_12_1_1 + Board_12_2_1 + Board_12_3_1 + Board_12_4_1 + Board_12_5_1 + Board_12_6_1 + Board_12_7_1 + Board_12_8_1 + Board_12_9_1 + Board_12_10_1 + Board_12_11_1 + Board_12_12_1 = 1
inv : Board_4_12_0 + Board_4_12_1 + Board_4_12_2 + Board_4_12_3 + Board_4_12_4 + Board_4_12_5 + Board_4_12_6 + Board_4_12_7 + Board_4_12_8 + Board_4_12_9 + Board_4_12_10 + Board_4_12_11 + Board_4_12_12 + Cells_4_12 = 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 + Board_3_11_7 + Board_3_12_7 = 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 + Board_1_2_11 + Board_1_2_12 + Cells_1_2 = 1
inv : Board_12_9_0 + Board_12_9_1 + Board_12_9_2 + Board_12_9_3 + Board_12_9_4 + Board_12_9_5 + Board_12_9_6 + Board_12_9_7 + Board_12_9_8 + Board_12_9_9 + Board_12_9_10 + Board_12_9_11 + Board_12_9_12 + Cells_12_9 = 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 + Board_11_8_9 + Board_12_8_9 + Columns_8_9 = 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 + Board_1_11_2 + Board_1_12_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 + Board_7_11_6 + Board_7_12_6 = 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 + Board_8_11_2 + Board_8_12_2 = 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 + Board_6_5_11 + Board_6_5_12 + Cells_6_5 = 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 + Board_5_11_1 + Board_5_12_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 + Board_5_2_11 + Board_5_2_12 + Cells_5_2 = 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 + Board_4_11_3 + Board_4_12_3 = 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 + Board_8_11_3 + Board_8_12_3 = 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 + Board_11_10_9 + Board_12_10_9 + Columns_10_9 = 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 + Board_4_11_4 + Board_4_12_4 = 1
inv : Board_0_12_9 + Board_1_12_9 + Board_2_12_9 + Board_3_12_9 + Board_4_12_9 + Board_5_12_9 + Board_6_12_9 + Board_7_12_9 + Board_8_12_9 + Board_9_12_9 + Board_10_12_9 + Board_11_12_9 + Board_12_12_9 + Columns_12_9 = 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 + Board_0_11_4 + Board_0_12_4 = 1
inv : Board_0_12_8 + Board_1_12_8 + Board_2_12_8 + Board_3_12_8 + Board_4_12_8 + Board_5_12_8 + Board_6_12_8 + Board_7_12_8 + Board_8_12_8 + Board_9_12_8 + Board_10_12_8 + Board_11_12_8 + Board_12_12_8 + Columns_12_8 = 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 + Board_9_11_0 + Board_9_12_0 = 1
inv : Board_11_6_0 + Board_11_6_1 + Board_11_6_2 + Board_11_6_3 + Board_11_6_4 + Board_11_6_5 + Board_11_6_6 + Board_11_6_7 + Board_11_6_8 + Board_11_6_9 + Board_11_6_10 + Board_11_6_11 + Board_11_6_12 + Cells_11_6 = 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 + Board_2_5_11 + Board_2_5_12 + Cells_2_5 = 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 + Board_3_9_11 + Board_3_9_12 + Cells_3_9 = 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 + Board_1_11_3 + Board_1_12_3 = 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 + Board_2_11_9 + Board_2_12_9 = 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 + Board_10_2_11 + Board_10_2_12 + Cells_10_2 = 1
inv : Board_11_8_0 + Board_11_8_1 + Board_11_8_2 + Board_11_8_3 + Board_11_8_4 + Board_11_8_5 + Board_11_8_6 + Board_11_8_7 + Board_11_8_8 + Board_11_8_9 + Board_11_8_10 + Board_11_8_11 + Board_11_8_12 + Cells_11_8 = 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 + Board_11_1_7 + Board_12_1_7 + Columns_1_7 = 1
inv : Board_3_11_0 + Board_3_11_1 + Board_3_11_2 + Board_3_11_3 + Board_3_11_4 + Board_3_11_5 + Board_3_11_6 + Board_3_11_7 + Board_3_11_8 + Board_3_11_9 + Board_3_11_10 + Board_3_11_11 + Board_3_11_12 + Cells_3_11 = 1
inv : Board_12_12_0 + Board_12_12_1 + Board_12_12_2 + Board_12_12_3 + Board_12_12_4 + Board_12_12_5 + Board_12_12_6 + Board_12_12_7 + Board_12_12_8 + Board_12_12_9 + Board_12_12_10 + Board_12_12_11 + Board_12_12_12 + Cells_12_12 = 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 + Board_5_11_2 + Board_5_12_2 = 1
inv : Rows_12_2 + Board_12_0_2 + Board_12_1_2 + Board_12_2_2 + Board_12_3_2 + Board_12_4_2 + Board_12_5_2 + Board_12_6_2 + Board_12_7_2 + Board_12_8_2 + Board_12_9_2 + Board_12_10_2 + Board_12_11_2 + Board_12_12_2 = 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 + Board_11_6_10 + Board_12_6_10 + Columns_6_10 = 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 + Board_10_11_7 + Board_10_12_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 + Board_10_11_6 + Board_10_12_6 = 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 + Board_11_10_10 + Board_12_10_10 + Columns_10_10 = 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 + Board_7_9_11 + Board_7_9_12 + Cells_7_9 = 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 + Board_11_1_8 + Board_12_1_8 + Columns_1_8 = 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 + Board_6_11_7 + Board_6_12_7 = 1
inv : Board_0_6_11 + Board_1_6_11 + Board_2_6_11 + Board_3_6_11 + Board_4_6_11 + Board_5_6_11 + Board_6_6_11 + Board_7_6_11 + Board_8_6_11 + Board_9_6_11 + Board_10_6_11 + Board_11_6_11 + Board_12_6_11 + Columns_6_11 = 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 + Board_11_9_6 + Board_12_9_6 + Columns_9_6 = 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 + Board_11_5_6 + Board_12_5_6 + Columns_5_6 = 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 + Board_2_11_8 + Board_2_12_8 = 1
inv : Board_0_2_11 + Board_1_2_11 + Board_2_2_11 + Board_3_2_11 + Board_4_2_11 + Board_5_2_11 + Board_6_2_11 + Board_7_2_11 + Board_8_2_11 + Board_9_2_11 + Board_10_2_11 + Board_11_2_11 + Board_12_2_11 + Columns_2_11 = 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 + Board_6_11_8 + Board_6_12_8 = 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 + Board_11_5_7 + Board_12_5_7 + Columns_5_7 = 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 + Board_2_6_11 + Board_2_6_12 + Cells_2_6 = 1
inv : Board_0_2_12 + Board_1_2_12 + Board_2_2_12 + Board_3_2_12 + Board_4_2_12 + Board_5_2_12 + Board_6_2_12 + Board_7_2_12 + Board_8_2_12 + Board_9_2_12 + Board_10_2_12 + Board_11_2_12 + Board_12_2_12 + Columns_2_12 = 1
inv : Rows_1_11 + Board_1_0_11 + Board_1_1_11 + Board_1_2_11 + Board_1_3_11 + Board_1_4_11 + Board_1_5_11 + Board_1_6_11 + Board_1_7_11 + Board_1_8_11 + Board_1_9_11 + Board_1_10_11 + Board_1_11_11 + Board_1_12_11 = 1
inv : Board_0_11_5 + Board_1_11_5 + Board_2_11_5 + Board_3_11_5 + Board_4_11_5 + Board_5_11_5 + Board_6_11_5 + Board_7_11_5 + Board_8_11_5 + Board_9_11_5 + Board_10_11_5 + Board_11_11_5 + Board_12_11_5 + Columns_11_5 = 1
inv : Board_12_11_0 + Board_12_11_1 + Board_12_11_2 + Board_12_11_3 + Board_12_11_4 + Board_12_11_5 + Board_12_11_6 + Board_12_11_7 + Board_12_11_8 + Board_12_11_9 + Board_12_11_10 + Board_12_11_11 + Board_12_11_12 + Cells_12_11 = 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 + Board_11_9_5 + Board_12_9_5 + Columns_9_5 = 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 + Board_5_11_10 + Board_5_12_10 = 1
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 + Board_7_8_11 + Board_7_8_12 + Cells_7_8 = 1
inv : Board_0_0_12 + Board_1_0_12 + Board_2_0_12 + Board_3_0_12 + Board_4_0_12 + Board_5_0_12 + Board_6_0_12 + Board_7_0_12 + Board_8_0_12 + Board_9_0_12 + Board_10_0_12 + Board_11_0_12 + Board_12_0_12 + Columns_0_12 = 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 + Board_5_0_11 + Board_5_0_12 + Cells_5_0 = 1
inv : Board_0_12_0 + Board_1_12_0 + Board_2_12_0 + Board_3_12_0 + Board_4_12_0 + Board_5_12_0 + Board_6_12_0 + Board_7_12_0 + Board_8_12_0 + Board_9_12_0 + Board_10_12_0 + Board_11_12_0 + Board_12_12_0 + Columns_12_0 = 1
inv : Rows_4_12 + Board_4_0_12 + Board_4_1_12 + Board_4_2_12 + Board_4_3_12 + Board_4_4_12 + Board_4_5_12 + Board_4_6_12 + Board_4_7_12 + Board_4_8_12 + Board_4_9_12 + Board_4_10_12 + Board_4_11_12 + Board_4_12_12 = 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 + Board_9_11_9 + Board_9_12_9 = 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 + Board_5_1_11 + Board_5_1_12 + Cells_5_1 = 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 + Board_11_3_7 + Board_12_3_7 + Columns_3_7 = 1
inv : Rows_8_11 + Board_8_0_11 + Board_8_1_11 + Board_8_2_11 + Board_8_3_11 + Board_8_4_11 + Board_8_5_11 + Board_8_6_11 + Board_8_7_11 + Board_8_8_11 + Board_8_9_11 + Board_8_10_11 + Board_8_11_11 + Board_8_12_11 = 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 + Board_11_8_10 + Board_12_8_10 + Columns_8_10 = 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 + Board_11_10_1 + Board_12_10_1 + Columns_10_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 + Board_3_11_6 + Board_3_12_6 = 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 + Board_7_11_5 + Board_7_12_5 = 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 + Board_11_7_6 + Board_12_7_6 + Columns_7_6 = 1
inv : Rows_12_10 + Board_12_0_10 + Board_12_1_10 + Board_12_2_10 + Board_12_3_10 + Board_12_4_10 + Board_12_5_10 + Board_12_6_10 + Board_12_7_10 + Board_12_8_10 + Board_12_9_10 + Board_12_10_10 + Board_12_11_10 + Board_12_12_10 = 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 + Board_11_2_3 + Board_12_2_3 + Columns_2_3 = 1
inv : Board_8_12_0 + Board_8_12_1 + Board_8_12_2 + Board_8_12_3 + Board_8_12_4 + Board_8_12_5 + Board_8_12_6 + Board_8_12_7 + Board_8_12_8 + Board_8_12_9 + Board_8_12_10 + Board_8_12_11 + Board_8_12_12 + Cells_8_12 = 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 + Board_2_11_0 + Board_2_12_0 = 1
inv : Rows_11_4 + Board_11_0_4 + Board_11_1_4 + Board_11_2_4 + Board_11_3_4 + Board_11_4_4 + Board_11_5_4 + Board_11_6_4 + Board_11_7_4 + Board_11_8_4 + Board_11_9_4 + Board_11_10_4 + Board_11_11_4 + Board_11_12_4 = 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 + Board_10_3_11 + Board_10_3_12 + Cells_10_3 = 1
inv : Board_0_4_11 + Board_1_4_11 + Board_2_4_11 + Board_3_4_11 + Board_4_4_11 + Board_5_4_11 + Board_6_4_11 + Board_7_4_11 + Board_8_4_11 + Board_9_4_11 + Board_10_4_11 + Board_11_4_11 + Board_12_4_11 + Columns_4_11 = 1
Total of 507 invariants.
[2021-05-17 12:38:39] [INFO ] Computed 507 place invariants in 21 ms
Converted graph to binary with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/convert-linux64, -i, /tmp/graph9845327944844124597.txt, -o, /tmp/graph9845327944844124597.bin, -w, /tmp/graph9845327944844124597.weights], workingDir=null]
Built communities with : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/louvain-linux64, /tmp/graph9845327944844124597.bin, -l, -1, -v, -w, /tmp/graph9845327944844124597.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 12:38:43] [INFO ] Decomposing Gal with order
[2021-05-17 12:38:43] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 12:38:45] [INFO ] Proved 2704 variables to be positive in 5957 ms
[2021-05-17 12:38:49] [INFO ] Removed a total of 6084 redundant transitions.
[2021-05-17 12:38:49] [INFO ] Flatten gal took : 5226 ms
[2021-05-17 12:38:49] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 31 ms.
[2021-05-17 12:38:49] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality10969000212961687594.gal : 21 ms
[2021-05-17 12:38:49] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality16373242863932257073.prop : 2 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality10969000212961687594.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality16373242863932257073.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality10969000212961687594.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality16373242863932257073.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality16373242863932257073.prop.
SDD proceeding with computation,5 properties remain. new max is 4
SDD size :1 after 31
SDD proceeding with computation,5 properties remain. new max is 8
SDD size :31 after 1337
Compilation finished in 28164 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/tmp/ltsmin16471699771130896224]
Link finished in 56 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality01==true], workingDir=/tmp/ltsmin16471699771130896224]
SDD proceeding with computation,5 properties remain. new max is 16
SDD size :1337 after 36046
WARNING : LTSmin timed out (>720 s) on command CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality01==true], workingDir=/tmp/ltsmin16471699771130896224]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality02==true], workingDir=/tmp/ltsmin16471699771130896224]
Detected timeout of ITS tools.
[2021-05-17 13:02:51] [INFO ] Applying decomposition
[2021-05-17 13:02:52] [INFO ] Flatten gal took : 247 ms
[2021-05-17 13:02:52] [INFO ] Decomposing Gal with order
[2021-05-17 13:02:52] [INFO ] Rewriting arrays to variables to allow decomposition.
WARNING : LTSmin timed out (>720 s) on command CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality02==true], workingDir=/tmp/ltsmin16471699771130896224]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality03==true], workingDir=/tmp/ltsmin16471699771130896224]
[2021-05-17 13:03:06] [INFO ] Removed a total of 6084 redundant transitions.
[2021-05-17 13:03:06] [INFO ] Flatten gal took : 13544 ms
[2021-05-17 13:03:06] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 39 ms.
[2021-05-17 13:03:07] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality8618065295302264706.gal : 26 ms
[2021-05-17 13:03:07] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality9388256697440305508.prop : 20 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/ReachabilityCardinality8618065295302264706.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality9388256697440305508.prop, --nowitness, --gen-order, FOLLOW], workingDir=/home/mcc/execution]
its-reach command run as :
/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /tmp/ReachabilityCardinality8618065295302264706.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality9388256697440305508.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality9388256697440305508.prop.
SDD proceeding with computation,5 properties remain. new max is 4
SDD size :1 after 31
SDD proceeding with computation,5 properties remain. new max is 8
SDD size :31 after 1337
SDD proceeding with computation,5 properties remain. new max is 16
SDD size :1337 after 36046
WARNING : LTSmin timed out (>720 s) on command CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality03==true], workingDir=/tmp/ltsmin16471699771130896224]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202104292328/bin/pins2lts-mc-linux64, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, SudokuPTAN13ReachabilityCardinality04==true], workingDir=/tmp/ltsmin16471699771130896224]
BK_TIME_CONFINEMENT_REACHED
--------------------
content from stderr:
+ export BINDIR=/home/mcc/BenchKit/bin//../
+ BINDIR=/home/mcc/BenchKit/bin//../
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ ReachabilityCardinality = StateSpace ]]
+ /home/mcc/BenchKit/bin//..//runeclipse.sh /home/mcc/execution ReachabilityCardinality -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
++ cut -d . -f 9
++ ls /home/mcc/BenchKit/bin//..//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202104292328.jar
+ VERSION=0
+ echo 'Running Version 0'
+ /home/mcc/BenchKit/bin//..//itstools/its-tools -data /home/mcc/execution/workspace -pnfolder /home/mcc/execution -examination ReachabilityCardinality -spotpath /home/mcc/BenchKit/bin//..//ltlfilt -z3path /home/mcc/BenchKit/bin//..//z3/bin/z3 -yices2path /home/mcc/BenchKit/bin//..//yices/bin/yices -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600 -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss128m -Xms40m -Xmx16000m
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-AN13"
export BK_EXAMINATION="ReachabilityCardinality"
export BK_TOOL="itstools"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"
export BK_BIN_PATH="/home/mcc/BenchKit/bin/"
# this is specific to your benchmark or test
export BIN_DIR="$HOME/BenchKit/bin"
# remove the execution directoty if it exists (to avoid increse of .vmdk images)
if [ -d execution ] ; then
rm -rf execution
fi
# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-4028"
echo " Executing tool itstools"
echo " Input is Sudoku-PT-AN13, examination is ReachabilityCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r254-tall-162106746300654"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-PT-AN13.tgz
mv Sudoku-PT-AN13 execution
cd execution
if [ "ReachabilityCardinality" = "ReachabilityDeadlock" ] || [ "ReachabilityCardinality" = "UpperBounds" ] || [ "ReachabilityCardinality" = "QuasiLiveness" ] || [ "ReachabilityCardinality" = "StableMarking" ] || [ "ReachabilityCardinality" = "Liveness" ] || [ "ReachabilityCardinality" = "OneSafe" ] || [ "ReachabilityCardinality" = "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 [ "ReachabilityCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "ReachabilityCardinality" != "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 "ReachabilityCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property ReachabilityCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "ReachabilityCardinality.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '
echo "FORMULA_NAME $x"
done
elif [ "ReachabilityCardinality" = "ReachabilityDeadlock" ] || [ "ReachabilityCardinality" = "QuasiLiveness" ] || [ "ReachabilityCardinality" = "StableMarking" ] || [ "ReachabilityCardinality" = "Liveness" ] || [ "ReachabilityCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME ReachabilityCardinality"
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 ;