About the Execution of ITS-Tools for Sudoku-PT-AN15
| Execution Summary | |||||
| Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
| 16242.707 | 3600000.00 | 9696229.00 | 92430.90 | ?FTTF???FFFTTTFT | 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-162106746300670.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-AN15, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r254-tall-162106746300670
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 47M
-rw-r--r-- 1 mcc users 1.8M May 15 08:50 CTLCardinality.txt
-rw-r--r-- 1 mcc users 8.0M May 15 08:50 CTLCardinality.xml
-rw-r--r-- 1 mcc users 3.0M May 15 08:50 CTLFireability.txt
-rw-r--r-- 1 mcc users 14M 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 665K Mar 28 16:44 LTLCardinality.txt
-rw-r--r-- 1 mcc users 2.2M Mar 28 16:44 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.0M Mar 28 16:45 LTLFireability.txt
-rw-r--r-- 1 mcc users 6.9M Mar 28 16:45 LTLFireability.xml
-rw-r--r-- 1 mcc users 400K May 13 19:29 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 1.2M May 13 19:29 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 1.3M May 13 19:29 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 4.0M 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 1.9M May 5 16:52 model.pnml
--------------------
content from stdout:
=== Data for post analysis generated by BenchKit (invocation template)
The expected result is a vector of booleans
BOOL_VECTOR
here is the order used to build the result vector(from text file)
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-00
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-01
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-02
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-03
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-04
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-05
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-06
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-07
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-08
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-09
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-10
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-11
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-12
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-13
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-14
FORMULA_NAME Sudoku-PT-AN15-ReachabilityCardinality-15
=== Now, execution of the tool begins
BK_START 1621258663312
Running Version 0
[2021-05-17 13:37:45] [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 13:37:45] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-17 13:37:45] [INFO ] Load time of PNML (sax parser for PT used): 285 ms
[2021-05-17 13:37:45] [INFO ] Transformed 4050 places.
[2021-05-17 13:37:45] [INFO ] Transformed 3375 transitions.
[2021-05-17 13:37:45] [INFO ] Parsed PT model containing 4050 places and 3375 transitions in 372 ms.
Parsed 16 properties from file /home/mcc/execution/ReachabilityCardinality.xml in 458 ms.
Working with output stream class java.io.PrintStream
Incomplete random walk after 10000 steps, including 50 resets, run finished after 4441 ms. (steps per millisecond=2 ) properties (out of 16) seen :4
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-15 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-12 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-10 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-03 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 265 ms. (steps per millisecond=37 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 2409 ms. (steps per millisecond=4 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 618 ms. (steps per millisecond=16 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 1532 ms. (steps per millisecond=6 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 942 ms. (steps per millisecond=10 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 152 ms. (steps per millisecond=65 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 374 ms. (steps per millisecond=26 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 164 ms. (steps per millisecond=60 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 119 ms. (steps per millisecond=84 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 121 ms. (steps per millisecond=82 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 148 ms. (steps per millisecond=67 ) properties (out of 12) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 119 ms. (steps per millisecond=84 ) properties (out of 12) seen :0
Running SMT prover for 12 properties.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:37:57] [INFO ] Computed 675 place invariants in 63 ms
[2021-05-17 13:38:02] [INFO ] [Real]Absence check using 675 positive place invariants in 4347 ms returned unknown
[2021-05-17 13:38:08] [INFO ] [Real]Absence check using 675 positive place invariants in 4485 ms returned unknown
[2021-05-17 13:38:09] [INFO ] [Real]Absence check using 675 positive place invariants in 277 ms returned unsat
[2021-05-17 13:38:14] [INFO ] [Real]Absence check using 675 positive place invariants in 4621 ms returned unknown
[2021-05-17 13:38:19] [INFO ] [Real]Absence check using 675 positive place invariants in 4641 ms returned unknown
[2021-05-17 13:38:24] [INFO ] [Real]Absence check using 675 positive place invariants in 4639 ms returned unknown
[2021-05-17 13:38:24] [INFO ] [Real]Absence check using 675 positive place invariants in 57 ms returned unsat
[2021-05-17 13:38:24] [INFO ] [Real]Absence check using 675 positive place invariants in 136 ms returned unsat
[2021-05-17 13:38:25] [INFO ] [Real]Absence check using 675 positive place invariants in 80 ms returned unsat
[2021-05-17 13:38:25] [INFO ] [Real]Absence check using 675 positive place invariants in 59 ms returned unsat
[2021-05-17 13:38:26] [INFO ] [Real]Absence check using 675 positive place invariants in 53 ms returned unsat
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-14 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-13 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-11 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-09 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-08 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-04 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-02 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
Fused 12 Parikh solutions to 1 different solutions.
Support contains 4050 out of 4050 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 4050/4050 places, 3375/3375 transitions.
Applied a total of 0 rules in 93 ms. Remains 4050 /4050 variables (removed 0) and now considering 3375/3375 (removed 0) transitions.
Finished structural reductions, in 1 iterations. Remains : 4050/4050 places, 3375/3375 transitions.
[2021-05-17 13:38:27] [INFO ] Flatten gal took : 364 ms
[2021-05-17 13:38:27] [INFO ] Flatten gal took : 262 ms
[2021-05-17 13:38:27] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality6349118926512460914.gal : 85 ms
[2021-05-17 13:38:27] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality12282579699453566562.prop : 18 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/ReachabilityCardinality6349118926512460914.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality12282579699453566562.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/ReachabilityCardinality6349118926512460914.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality12282579699453566562.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality12282579699453566562.prop.
Detected timeout of ITS tools.
[2021-05-17 13:38:42] [INFO ] Flatten gal took : 193 ms
[2021-05-17 13:38:42] [INFO ] Applying decomposition
[2021-05-17 13:38:42] [INFO ] Flatten gal took : 182 ms
[2021-05-17 13:39:08] [WARNING] Could not apply decomposition. Using flat GAL structure.
java.util.concurrent.TimeoutException: Subprocess running CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.louvain.binaries_1.0.0.202104292328/bin/convert-linux64, -i, /tmp/graph15151887292160159735.txt, -o, /tmp/graph15151887292160159735.bin, -w, /tmp/graph15151887292160159735.weights], workingDir=null] killed by timeout after 10 SECONDS
at fr.lip6.move.gal.process.Runner.waitForOrTimeout(Runner.java:76)
at fr.lip6.move.gal.process.Runner.runTool(Runner.java:47)
at fr.lip6.move.gal.process.Runner.runTool(Runner.java:27)
at fr.lip6.move.gal.louvain.GraphBuilder.convertGraphToBin(GraphBuilder.java:258)
at fr.lip6.move.gal.louvain.GraphBuilder.computeLouvain(GraphBuilder.java:189)
at fr.lip6.move.gal.louvain.GraphBuilder.computeLouvain(GraphBuilder.java:157)
at fr.lip6.move.gal.application.MccTranslator.applyOrder(MccTranslator.java:223)
at fr.lip6.move.gal.application.MccTranslator.flattenSpec(MccTranslator.java:270)
at fr.lip6.move.gal.application.GlobalPropertySolver.verifyWithSDD(GlobalPropertySolver.java:595)
at fr.lip6.move.gal.application.ReachabilitySolver.applyReductions(ReachabilitySolver.java:206)
at fr.lip6.move.gal.application.Application.startNoEx(Application.java:550)
at fr.lip6.move.gal.application.Application.start(Application.java:140)
at fr.lip6.move.gal.itscl.application.Application.start(Application.java:43)
at org.eclipse.equinox.internal.app.EclipseAppHandle.run(EclipseAppHandle.java:203)
at org.eclipse.core.runtime.internal.adaptor.EclipseAppLauncher.runApplication(EclipseAppLauncher.java:134)
at org.eclipse.core.runtime.internal.adaptor.EclipseAppLauncher.start(EclipseAppLauncher.java:104)
at org.eclipse.core.runtime.adaptor.EclipseStarter.run(EclipseStarter.java:401)
at org.eclipse.core.runtime.adaptor.EclipseStarter.run(EclipseStarter.java:255)
at java.base/jdk.internal.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at java.base/jdk.internal.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:62)
at java.base/jdk.internal.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:43)
at java.base/java.lang.reflect.Method.invoke(Method.java:566)
at org.eclipse.equinox.launcher.Main.invokeFramework(Main.java:653)
at org.eclipse.equinox.launcher.Main.basicRun(Main.java:590)
at org.eclipse.equinox.launcher.Main.run(Main.java:1461)
at org.eclipse.equinox.launcher.Main.main(Main.java:1434)
[2021-05-17 13:39:08] [INFO ] Flatten gal took : 167 ms
[2021-05-17 13:39:08] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality3230727678088486595.gal : 15 ms
[2021-05-17 13:39:08] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality14020714612279297912.prop : 4 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/ReachabilityCardinality3230727678088486595.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality14020714612279297912.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/ReachabilityCardinality3230727678088486595.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality14020714612279297912.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality14020714612279297912.prop.
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin17186111322463413059
[2021-05-17 13:39:24] [INFO ] Built C files in 95ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin17186111322463413059
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/ltsmin17186111322463413059]
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/ltsmin17186111322463413059] 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/ltsmin17186111322463413059] 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 106177 steps, including 535 resets, run timeout after 30001 ms. (steps per millisecond=3 ) properties seen :{}
Interrupted Best-First random walk after 364552 steps, including 1 resets, run timeout after 5004 ms. (steps per millisecond=72 ) properties seen :{}
Interrupted Best-First random walk after 21626 steps, including 0 resets, run timeout after 5045 ms. (steps per millisecond=4 ) properties seen :{}
Interrupted Best-First random walk after 58134 steps, including 0 resets, run timeout after 5081 ms. (steps per millisecond=11 ) properties seen :{}
Interrupted Best-First random walk after 384989 steps, including 1 resets, run timeout after 5002 ms. (steps per millisecond=76 ) properties seen :{}
Interrupted Best-First random walk after 125947 steps, including 0 resets, run timeout after 5022 ms. (steps per millisecond=25 ) properties seen :{}
Interrupted probabilistic random walk after 368961 steps, run timeout after 30001 ms. (steps per millisecond=12 ) properties seen :{}
Probabilistic random walk after 368961 steps, saw 348979 distinct states, run finished after 30001 ms. (steps per millisecond=12 ) properties seen :{}
Running SMT prover for 5 properties.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:40:50] [INFO ] Computed 675 place invariants in 19 ms
[2021-05-17 13:41:35] [INFO ] [Real]Absence check using 675 positive place invariants in 44569 ms returned unknown
[2021-05-17 13:41:44] [INFO ] [Real]Absence check using 675 positive place invariants in 9261 ms returned unsat
[2021-05-17 13:42:29] [INFO ] [Real]Absence check using 675 positive place invariants in 44634 ms returned unknown
[2021-05-17 13:42:37] [INFO ] [Real]Absence check using 675 positive place invariants in 7165 ms returned sat
[2021-05-17 13:42:37] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:42:59] [INFO ] [Real]Absence check using state equation in 22099 ms returned sat
[2021-05-17 13:43:00] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:43:45] [INFO ] [Nat]Absence check using 675 positive place invariants in 44633 ms returned unknown
[2021-05-17 13:43:54] [INFO ] [Real]Absence check using 675 positive place invariants in 9069 ms returned sat
[2021-05-17 13:43:54] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:44:04] [INFO ] [Real]Absence check using state equation in 10385 ms returned sat
[2021-05-17 13:44:05] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:44:14] [INFO ] [Nat]Absence check using 675 positive place invariants in 8821 ms returned sat
[2021-05-17 13:44:14] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-17 13:44:39] [INFO ] [Nat]Absence check using state equation in 25755 ms returned sat
[2021-05-17 13:44:40] [INFO ] Computed and/alt/rep : 0/0/0 causal constraints (skipped 0 transitions) in 147 ms.
[2021-05-17 13:44:40] [INFO ] Added : 0 causal constraints over 0 iterations in 451 ms. Result :sat
FORMULA Sudoku-PT-AN15-ReachabilityCardinality-01 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
Fused 5 Parikh solutions to 2 different solutions.
Incomplete Parikh walk after 22400 steps, including 107 resets, run finished after 2436 ms. (steps per millisecond=9 ) properties (out of 4) seen :0 could not realise parikh vector
Support contains 4050 out of 4050 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 4050/4050 places, 3375/3375 transitions.
Applied a total of 0 rules in 43 ms. Remains 4050 /4050 variables (removed 0) and now considering 3375/3375 (removed 0) transitions.
Finished structural reductions, in 1 iterations. Remains : 4050/4050 places, 3375/3375 transitions.
[2021-05-17 13:44:43] [INFO ] Flatten gal took : 150 ms
[2021-05-17 13:44:43] [INFO ] Flatten gal took : 150 ms
[2021-05-17 13:44:45] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality9926378714441844202.gal : 2421 ms
[2021-05-17 13:44:45] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality8552531893071012344.prop : 1 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/ReachabilityCardinality9926378714441844202.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality8552531893071012344.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/ReachabilityCardinality9926378714441844202.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality8552531893071012344.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality8552531893071012344.prop.
Detected timeout of ITS tools.
[2021-05-17 13:45:01] [INFO ] Flatten gal took : 148 ms
[2021-05-17 13:45:01] [INFO ] Applying decomposition
[2021-05-17 13:45:01] [INFO ] Flatten gal took : 147 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/graph14436022520679518713.txt, -o, /tmp/graph14436022520679518713.bin, -w, /tmp/graph14436022520679518713.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/graph14436022520679518713.bin, -l, -1, -v, -w, /tmp/graph14436022520679518713.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 13:45:30] [INFO ] Decomposing Gal with order
[2021-05-17 13:45:30] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 13:45:47] [INFO ] Removed a total of 3150 redundant transitions.
[2021-05-17 13:45:47] [INFO ] Flatten gal took : 16516 ms
[2021-05-17 13:45:48] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 39 ms.
[2021-05-17 13:45:58] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality17823423566212394507.gal : 9327 ms
[2021-05-17 13:45:58] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality16953138770098131367.prop : 157 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/ReachabilityCardinality17823423566212394507.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality16953138770098131367.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/ReachabilityCardinality17823423566212394507.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality16953138770098131367.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality16953138770098131367.prop.
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin18284068770111798477
[2021-05-17 13:46:13] [INFO ] Built C files in 50ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin18284068770111798477
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/ltsmin18284068770111798477]
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/ltsmin18284068770111798477] 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/ltsmin18284068770111798477] 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 109863 steps, including 554 resets, run timeout after 30001 ms. (steps per millisecond=3 ) properties seen :{}
Interrupted Best-First random walk after 379098 steps, including 1 resets, run timeout after 5003 ms. (steps per millisecond=75 ) properties seen :{}
Interrupted Best-First random walk after 58245 steps, including 0 resets, run timeout after 5087 ms. (steps per millisecond=11 ) properties seen :{}
Interrupted Best-First random walk after 384349 steps, including 1 resets, run timeout after 5004 ms. (steps per millisecond=76 ) properties seen :{}
Interrupted Best-First random walk after 125266 steps, including 0 resets, run timeout after 5017 ms. (steps per millisecond=24 ) properties seen :{}
Interrupted probabilistic random walk after 455390 steps, run timeout after 30001 ms. (steps per millisecond=15 ) properties seen :{}
Probabilistic random walk after 455390 steps, saw 361571 distinct states, run finished after 30001 ms. (steps per millisecond=15 ) properties seen :{}
Running SMT prover for 4 properties.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:47:34] [INFO ] Computed 675 place invariants in 22 ms
[2021-05-17 13:48:19] [INFO ] [Real]Absence check using 675 positive place invariants in 44518 ms returned unknown
[2021-05-17 13:49:04] [INFO ] [Real]Absence check using 675 positive place invariants in 44632 ms returned unknown
[2021-05-17 13:49:11] [INFO ] [Real]Absence check using 675 positive place invariants in 6426 ms returned sat
[2021-05-17 13:49:11] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:49:34] [INFO ] [Real]Absence check using state equation in 23567 ms returned sat
[2021-05-17 13:49:35] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:50:20] [INFO ] [Nat]Absence check using 675 positive place invariants in 44672 ms returned unknown
[2021-05-17 13:50:29] [INFO ] [Real]Absence check using 675 positive place invariants in 9322 ms returned sat
[2021-05-17 13:50:29] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:50:36] [INFO ] [Real]Absence check using state equation in 6877 ms returned sat
[2021-05-17 13:50:47] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:50:56] [INFO ] [Nat]Absence check using 675 positive place invariants in 8215 ms returned sat
[2021-05-17 13:50:56] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-17 13:51:21] [INFO ] [Nat]Absence check using state equation in 24688 ms returned sat
[2021-05-17 13:51:21] [INFO ] Computed and/alt/rep : 0/0/0 causal constraints (skipped 0 transitions) in 131 ms.
[2021-05-17 13:51:21] [INFO ] Added : 0 causal constraints over 0 iterations in 388 ms. Result :sat
Fused 4 Parikh solutions to 2 different solutions.
Incomplete Parikh walk after 22400 steps, including 107 resets, run finished after 2447 ms. (steps per millisecond=9 ) properties (out of 4) seen :0 could not realise parikh vector
Support contains 4050 out of 4050 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 4050/4050 places, 3375/3375 transitions.
Applied a total of 0 rules in 36 ms. Remains 4050 /4050 variables (removed 0) and now considering 3375/3375 (removed 0) transitions.
Finished structural reductions, in 1 iterations. Remains : 4050/4050 places, 3375/3375 transitions.
Starting structural reductions, iteration 0 : 4050/4050 places, 3375/3375 transitions.
Applied a total of 0 rules in 33 ms. Remains 4050 /4050 variables (removed 0) and now considering 3375/3375 (removed 0) transitions.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:51:24] [INFO ] Computed 675 place invariants in 11 ms
[2021-05-17 13:51:27] [INFO ] Implicit Places using invariants in 2479 ms returned []
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:51:27] [INFO ] Computed 675 place invariants in 11 ms
[2021-05-17 13:51:27] [INFO ] Implicit Places using invariants and state equation in 332 ms returned []
Implicit Place search using SMT with State Equation took 2811 ms to find 0 implicit places.
[2021-05-17 13:51:27] [INFO ] Redundant transitions in 227 ms returned []
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:51:27] [INFO ] Computed 675 place invariants in 10 ms
[2021-05-17 13:51:29] [INFO ] Dead Transitions using invariants and state equation in 2054 ms returned []
Finished structural reductions, in 1 iterations. Remains : 4050/4050 places, 3375/3375 transitions.
Incomplete random walk after 100000 steps, including 504 resets, run finished after 29529 ms. (steps per millisecond=3 ) properties (out of 4) seen :0
Running SMT prover for 4 properties.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:51:59] [INFO ] Computed 675 place invariants in 10 ms
[2021-05-17 13:52:19] [INFO ] [Real]Absence check using 675 positive place invariants in 19642 ms returned unknown
[2021-05-17 13:52:39] [INFO ] [Real]Absence check using 675 positive place invariants in 19637 ms returned unknown
[2021-05-17 13:52:46] [INFO ] [Real]Absence check using 675 positive place invariants in 6670 ms returned sat
[2021-05-17 13:52:46] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:52:59] [INFO ] [Real]Absence check using state equation in 12983 ms returned unknown
[2021-05-17 13:53:17] [INFO ] [Real]Absence check using 675 positive place invariants in 9575 ms returned sat
[2021-05-17 13:53:17] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:53:21] [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: Stream closed... while checking expression at index 3
[2021-05-17 13:53:21] [INFO ] Flatten gal took : 153 ms
[2021-05-17 13:53:21] [INFO ] Flatten gal took : 156 ms
[2021-05-17 13:53:21] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality4079388938425012593.gal : 252 ms
[2021-05-17 13:53:21] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality6858721596341879966.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/ReachabilityCardinality4079388938425012593.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality6858721596341879966.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/ReachabilityCardinality4079388938425012593.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality6858721596341879966.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality6858721596341879966.prop.
Detected timeout of ITS tools.
[2021-05-17 13:53:36] [INFO ] Flatten gal took : 147 ms
[2021-05-17 13:53:36] [INFO ] Applying decomposition
[2021-05-17 13:53:36] [INFO ] Flatten gal took : 150 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/graph12992016522828756256.txt, -o, /tmp/graph12992016522828756256.bin, -w, /tmp/graph12992016522828756256.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/graph12992016522828756256.bin, -l, -1, -v, -w, /tmp/graph12992016522828756256.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 13:53:59] [INFO ] Decomposing Gal with order
[2021-05-17 13:53:59] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 13:54:08] [INFO ] Removed a total of 9450 redundant transitions.
[2021-05-17 13:54:08] [INFO ] Flatten gal took : 9063 ms
[2021-05-17 13:54:08] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 39 ms.
[2021-05-17 13:54:13] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality17403757265995258913.gal : 4019 ms
[2021-05-17 13:54:13] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality6691941236383672700.prop : 1 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/ReachabilityCardinality17403757265995258913.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality6691941236383672700.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/ReachabilityCardinality17403757265995258913.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality6691941236383672700.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality6691941236383672700.prop.
Detected timeout of ITS tools.
Built C files in :
/tmp/ltsmin6364843490246226340
[2021-05-17 13:54:28] [INFO ] Built C files in 53ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin6364843490246226340
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/ltsmin6364843490246226340]
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/ltsmin6364843490246226340] 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/ltsmin6364843490246226340] 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 32 ms. Remains 4050 /4050 variables (removed 0) and now considering 3375/3375 (removed 0) transitions.
Running SMT prover for 4 properties.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:54:29] [INFO ] Computed 675 place invariants in 9 ms
[2021-05-17 13:55:14] [INFO ] [Real]Absence check using 675 positive place invariants in 44697 ms returned unknown
[2021-05-17 13:55:59] [INFO ] [Real]Absence check using 675 positive place invariants in 44565 ms returned unknown
[2021-05-17 13:56:07] [INFO ] [Real]Absence check using 675 positive place invariants in 6978 ms returned sat
[2021-05-17 13:56:07] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:56:29] [INFO ] [Real]Absence check using state equation in 21895 ms returned sat
[2021-05-17 13:56:29] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:57:14] [INFO ] [Nat]Absence check using 675 positive place invariants in 44655 ms returned unknown
[2021-05-17 13:57:24] [INFO ] [Real]Absence check using 675 positive place invariants in 9812 ms returned sat
[2021-05-17 13:57:24] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2021-05-17 13:57:31] [INFO ] [Real]Absence check using state equation in 7175 ms returned sat
[2021-05-17 13:57:31] [INFO ] Solution in real domain found non-integer solution.
[2021-05-17 13:57:40] [INFO ] [Nat]Absence check using 675 positive place invariants in 8705 ms returned sat
[2021-05-17 13:57:40] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2021-05-17 13:58:06] [INFO ] [Nat]Absence check using state equation in 25857 ms returned sat
[2021-05-17 13:58:06] [INFO ] Computed and/alt/rep : 0/0/0 causal constraints (skipped 0 transitions) in 134 ms.
[2021-05-17 13:58:07] [INFO ] Added : 0 causal constraints over 0 iterations in 390 ms. Result :sat
[2021-05-17 13:58:07] [INFO ] Flatten gal took : 155 ms
Using solver Z3 to compute partial order matrices.
Built C files in :
/tmp/ltsmin8807347685665356962
[2021-05-17 13:58:07] [INFO ] Too many transitions (3375) to apply POR reductions. Disabling POR matrices.
[2021-05-17 13:58:07] [INFO ] Built C files in 47ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin8807347685665356962
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/ltsmin8807347685665356962]
[2021-05-17 13:58:07] [INFO ] Applying decomposition
[2021-05-17 13:58:07] [INFO ] Flatten gal took : 221 ms
[2021-05-17 13:58:08] [INFO ] Flatten gal took : 214 ms
[2021-05-17 13:58:08] [INFO ] Input system was already deterministic with 3375 transitions.
[2021-05-17 13:58:10] [INFO ] Ran tautology test, simplified 0 / 4 in 2201 ms.
[2021-05-17 13:58:10] [INFO ] BMC solution for property Sudoku-PT-AN15-ReachabilityCardinality-00(UNSAT) depth K=0 took 66 ms
[2021-05-17 13:58:10] [INFO ] BMC solution for property Sudoku-PT-AN15-ReachabilityCardinality-05(UNSAT) depth K=0 took 31 ms
[2021-05-17 13:58:10] [INFO ] BMC solution for property Sudoku-PT-AN15-ReachabilityCardinality-06(UNSAT) depth K=0 took 4 ms
[2021-05-17 13:58:10] [INFO ] BMC solution for property Sudoku-PT-AN15-ReachabilityCardinality-07(UNSAT) depth K=0 took 6 ms
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 3375 rows 4050 cols
[2021-05-17 13:58:11] [INFO ] Computed 675 place invariants in 11 ms
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 + Board_3_13_3 + Board_3_14_3 = 1
inv : Rows_14_13 + Board_14_0_13 + Board_14_1_13 + Board_14_2_13 + Board_14_3_13 + Board_14_4_13 + Board_14_5_13 + Board_14_6_13 + Board_14_7_13 + Board_14_8_13 + Board_14_9_13 + Board_14_10_13 + Board_14_11_13 + Board_14_12_13 + Board_14_13_13 + Board_14_14_13 = 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 + Board_3_7_13 + Board_3_7_14 + Cells_3_7 = 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 + Board_2_13_5 + Board_2_14_5 = 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 + Board_10_5_13 + Board_10_5_14 + Cells_10_5 = 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 + Board_8_13_0 + Board_8_14_0 = 1
inv : Board_4_13_0 + Board_4_13_1 + Board_4_13_2 + Board_4_13_3 + Board_4_13_4 + Board_4_13_5 + Board_4_13_6 + Board_4_13_7 + Board_4_13_8 + Board_4_13_9 + Board_4_13_10 + Board_4_13_11 + Board_4_13_12 + Board_4_13_13 + Board_4_13_14 + Cells_4_13 = 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 + Board_7_13_2 + Board_7_14_2 = 1
inv : Rows_10_14 + Board_10_0_14 + Board_10_1_14 + Board_10_2_14 + Board_10_3_14 + Board_10_4_14 + Board_10_5_14 + Board_10_6_14 + Board_10_7_14 + Board_10_8_14 + Board_10_9_14 + Board_10_10_14 + Board_10_11_14 + Board_10_12_14 + Board_10_13_14 + Board_10_14_14 = 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 + Board_0_10_13 + Board_0_10_14 + Cells_0_10 = 1
inv : Board_14_6_0 + Board_14_6_1 + Board_14_6_2 + Board_14_6_3 + Board_14_6_4 + Board_14_6_5 + Board_14_6_6 + Board_14_6_7 + Board_14_6_8 + Board_14_6_9 + Board_14_6_10 + Board_14_6_11 + Board_14_6_12 + Board_14_6_13 + Board_14_6_14 + Cells_14_6 = 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 + Board_11_11_13 + Board_11_11_14 + Cells_11_11 = 1
inv : Board_13_2_0 + Board_13_2_1 + Board_13_2_2 + Board_13_2_3 + Board_13_2_4 + Board_13_2_5 + Board_13_2_6 + Board_13_2_7 + Board_13_2_8 + Board_13_2_9 + Board_13_2_10 + Board_13_2_11 + Board_13_2_12 + Board_13_2_13 + Board_13_2_14 + Cells_13_2 = 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 + Board_13_3_3 + Board_14_3_3 + Columns_3_3 = 1
inv : Board_13_0_0 + Board_13_0_1 + Board_13_0_2 + Board_13_0_3 + Board_13_0_4 + Board_13_0_5 + Board_13_0_6 + Board_13_0_7 + Board_13_0_8 + Board_13_0_9 + Board_13_0_10 + Board_13_0_11 + Board_13_0_12 + Board_13_0_13 + Board_13_0_14 + Cells_13_0 = 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 + Board_13_4_6 + Board_14_4_6 + Columns_4_6 = 1
inv : Board_0_14_0 + Board_1_14_0 + Board_2_14_0 + Board_3_14_0 + Board_4_14_0 + Board_5_14_0 + Board_6_14_0 + Board_7_14_0 + Board_8_14_0 + Board_9_14_0 + Board_10_14_0 + Board_11_14_0 + Board_12_14_0 + Board_13_14_0 + Board_14_14_0 + Columns_14_0 = 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 + Board_13_12_12 + Board_14_12_12 + Columns_12_12 = 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 + Board_2_1_13 + Board_2_1_14 + Cells_2_1 = 1
inv : Board_0_3_14 + Board_1_3_14 + Board_2_3_14 + Board_3_3_14 + Board_4_3_14 + Board_5_3_14 + Board_6_3_14 + Board_7_3_14 + Board_8_3_14 + Board_9_3_14 + Board_10_3_14 + Board_11_3_14 + Board_12_3_14 + Board_13_3_14 + Board_14_3_14 + Columns_3_14 = 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 + Board_13_7_8 + Board_14_7_8 + Columns_7_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 + Board_13_6_5 + Board_14_6_5 + Columns_6_5 = 1
inv : Board_0_9_14 + Board_1_9_14 + Board_2_9_14 + Board_3_9_14 + Board_4_9_14 + Board_5_9_14 + Board_6_9_14 + Board_7_9_14 + Board_8_9_14 + Board_9_9_14 + Board_10_9_14 + Board_11_9_14 + Board_12_9_14 + Board_13_9_14 + Board_14_9_14 + Columns_9_14 = 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 + Board_13_12_5 + Board_14_12_5 + Columns_12_5 = 1
inv : Board_0_1_8 + Board_1_1_8 + Board_2_1_8 + Board_3_1_8 + Board_4_1_8 + Board_5_1_8 + Board_6_1_8 + Board_7_1_8 + Board_8_1_8 + Board_9_1_8 + Board_10_1_8 + Board_11_1_8 + Board_12_1_8 + Board_13_1_8 + Board_14_1_8 + Columns_1_8 = 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 + Board_11_13_1 + Board_11_14_1 = 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 + Board_11_9_13 + Board_11_9_14 + Cells_11_9 = 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 + Board_6_13_4 + Board_6_14_4 = 1
inv : Board_0_14_11 + Board_1_14_11 + Board_2_14_11 + Board_3_14_11 + Board_4_14_11 + Board_5_14_11 + Board_6_14_11 + Board_7_14_11 + Board_8_14_11 + Board_9_14_11 + Board_10_14_11 + Board_11_14_11 + Board_12_14_11 + Board_13_14_11 + Board_14_14_11 + Columns_14_11 = 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 + Board_13_0_12 + Board_14_0_12 + Columns_0_12 = 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 + Board_6_4_13 + Board_6_4_14 + Cells_6_4 = 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 + Board_6_2_13 + Board_6_2_14 + Cells_6_2 = 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 + Board_13_6_12 + Board_14_6_12 + Columns_6_12 = 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 + Board_13_11_9 + Board_14_11_9 + Columns_11_9 = 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 + Board_11_13_12 + Board_11_14_12 = 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 + Board_4_11_13 + Board_4_11_14 + Cells_4_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 + Board_1_13_7 + Board_1_14_7 = 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 + Board_7_8_13 + Board_7_8_14 + Cells_7_8 = 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 + Board_10_3_13 + Board_10_3_14 + Cells_10_3 = 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 + Board_9_1_13 + Board_9_1_14 + Cells_9_1 = 1
inv : Rows_13_8 + Board_13_0_8 + Board_13_1_8 + Board_13_2_8 + Board_13_3_8 + Board_13_4_8 + Board_13_5_8 + Board_13_6_8 + Board_13_7_8 + Board_13_8_8 + Board_13_9_8 + Board_13_10_8 + Board_13_11_8 + Board_13_12_8 + Board_13_13_8 + Board_13_14_8 = 1
inv : Rows_3_14 + Board_3_0_14 + Board_3_1_14 + Board_3_2_14 + Board_3_3_14 + Board_3_4_14 + Board_3_5_14 + Board_3_6_14 + Board_3_7_14 + Board_3_8_14 + Board_3_9_14 + Board_3_10_14 + Board_3_11_14 + Board_3_12_14 + Board_3_13_14 + Board_3_14_14 = 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 + Board_0_13_2 + Board_0_14_2 = 1
inv : Board_8_14_0 + Board_8_14_1 + Board_8_14_2 + Board_8_14_3 + Board_8_14_4 + Board_8_14_5 + Board_8_14_6 + Board_8_14_7 + Board_8_14_8 + Board_8_14_9 + Board_8_14_10 + Board_8_14_11 + Board_8_14_12 + Board_8_14_13 + Board_8_14_14 + Cells_8_14 = 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 + Board_8_12_13 + Board_8_12_14 + Cells_8_12 = 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 + Board_13_9_3 + Board_14_9_3 + Columns_9_3 = 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 + Board_8_13_11 + Board_8_14_11 = 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 + Board_7_10_13 + Board_7_10_14 + Cells_7_10 = 1
inv : Board_11_13_0 + Board_11_13_1 + Board_11_13_2 + Board_11_13_3 + Board_11_13_4 + Board_11_13_5 + Board_11_13_6 + Board_11_13_7 + Board_11_13_8 + Board_11_13_9 + Board_11_13_10 + Board_11_13_11 + Board_11_13_12 + Board_11_13_13 + Board_11_13_14 + Cells_11_13 = 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 + Board_5_0_13 + Board_5_0_14 + Cells_5_0 = 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 + Board_7_6_13 + Board_7_6_14 + Cells_7_6 = 1
inv : Board_14_4_0 + Board_14_4_1 + Board_14_4_2 + Board_14_4_3 + Board_14_4_4 + Board_14_4_5 + Board_14_4_6 + Board_14_4_7 + Board_14_4_8 + Board_14_4_9 + Board_14_4_10 + Board_14_4_11 + Board_14_4_12 + Board_14_4_13 + Board_14_4_14 + Cells_14_4 = 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 + Board_8_13_7 + Board_8_14_7 = 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 + Board_4_13_12 + Board_4_14_12 = 1
inv : Rows_1_14 + Board_1_0_14 + Board_1_1_14 + Board_1_2_14 + Board_1_3_14 + Board_1_4_14 + Board_1_5_14 + Board_1_6_14 + Board_1_7_14 + Board_1_8_14 + Board_1_9_14 + Board_1_10_14 + Board_1_11_14 + Board_1_12_14 + Board_1_13_14 + Board_1_14_14 = 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 + Board_12_13_6 + Board_12_14_6 = 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 + Board_13_12_1 + Board_14_12_1 + Columns_12_1 = 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 + Board_13_2_7 + Board_14_2_7 + Columns_2_7 = 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 + Board_13_8_4 + Board_14_8_4 + Columns_8_4 = 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 + Board_9_13_5 + Board_9_14_5 = 1
inv : Board_14_10_0 + Board_14_10_1 + Board_14_10_2 + Board_14_10_3 + Board_14_10_4 + Board_14_10_5 + Board_14_10_6 + Board_14_10_7 + Board_14_10_8 + Board_14_10_9 + Board_14_10_10 + Board_14_10_11 + Board_14_10_12 + Board_14_10_13 + Board_14_10_14 + Cells_14_10 = 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 + Board_2_13_12 + Board_2_14_12 = 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 + Board_2_3_13 + Board_2_3_14 + Cells_2_3 = 1
inv : Board_0_10_13 + Board_1_10_13 + Board_2_10_13 + Board_3_10_13 + Board_4_10_13 + Board_5_10_13 + Board_6_10_13 + Board_7_10_13 + Board_8_10_13 + Board_9_10_13 + Board_10_10_13 + Board_11_10_13 + Board_12_10_13 + Board_13_10_13 + Board_14_10_13 + Columns_10_13 = 1
inv : Board_1_14_0 + Board_1_14_1 + Board_1_14_2 + Board_1_14_3 + Board_1_14_4 + Board_1_14_5 + Board_1_14_6 + Board_1_14_7 + Board_1_14_8 + Board_1_14_9 + Board_1_14_10 + Board_1_14_11 + Board_1_14_12 + Board_1_14_13 + Board_1_14_14 + Cells_1_14 = 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 + Board_13_5_2 + Board_14_5_2 + Columns_5_2 = 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 + Board_13_8_11 + Board_14_8_11 + Columns_8_11 = 1
inv : Board_0_13_8 + Board_1_13_8 + Board_2_13_8 + Board_3_13_8 + Board_4_13_8 + Board_5_13_8 + Board_6_13_8 + Board_7_13_8 + Board_8_13_8 + Board_9_13_8 + Board_10_13_8 + Board_11_13_8 + Board_12_13_8 + Board_13_13_8 + Board_14_13_8 + Columns_13_8 = 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 + Board_13_0_5 + Board_14_0_5 + Columns_0_5 = 1
inv : Rows_5_13 + Board_5_0_13 + Board_5_1_13 + Board_5_2_13 + Board_5_3_13 + Board_5_4_13 + Board_5_5_13 + Board_5_6_13 + Board_5_7_13 + Board_5_8_13 + Board_5_9_13 + Board_5_10_13 + Board_5_11_13 + Board_5_12_13 + Board_5_13_13 + Board_5_14_13 = 1
inv : Board_14_8_0 + Board_14_8_1 + Board_14_8_2 + Board_14_8_3 + Board_14_8_4 + Board_14_8_5 + Board_14_8_6 + Board_14_8_7 + Board_14_8_8 + Board_14_8_9 + Board_14_8_10 + Board_14_8_11 + Board_14_8_12 + Board_14_8_13 + Board_14_8_14 + Cells_14_8 = 1
inv : Rows_5_6 + Board_5_0_6 + Board_5_1_6 + Board_5_2_6 + Board_5_3_6 + Board_5_4_6 + Board_5_5_6 + Board_5_6_6 + Board_5_7_6 + Board_5_8_6 + Board_5_9_6 + Board_5_10_6 + Board_5_11_6 + Board_5_12_6 + Board_5_13_6 + Board_5_14_6 = 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 + Board_13_2_0 + Board_14_2_0 + Columns_2_0 = 1
inv : Board_0_11_13 + Board_1_11_13 + Board_2_11_13 + Board_3_11_13 + Board_4_11_13 + Board_5_11_13 + Board_6_11_13 + Board_7_11_13 + Board_8_11_13 + Board_9_11_13 + Board_10_11_13 + Board_11_11_13 + Board_12_11_13 + Board_13_11_13 + Board_14_11_13 + Columns_11_13 = 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 + Board_13_5_9 + Board_14_5_9 + Columns_5_9 = 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 + Board_13_10_6 + Board_14_10_6 + Columns_10_6 = 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 + Board_8_13_4 + Board_8_14_4 = 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 + Board_1_13_11 + Board_1_14_11 = 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 + Board_11_13_5 + Board_11_14_5 = 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 + Board_13_7_4 + Board_14_7_4 + Columns_7_4 = 1
inv : Rows_8_14 + Board_8_0_14 + Board_8_1_14 + Board_8_2_14 + Board_8_3_14 + Board_8_4_14 + Board_8_5_14 + Board_8_6_14 + Board_8_7_14 + Board_8_8_14 + Board_8_9_14 + Board_8_10_14 + Board_8_11_14 + Board_8_12_14 + Board_8_13_14 + Board_8_14_14 = 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 + Board_13_3_7 + Board_14_3_7 + Columns_3_7 = 1
inv : Rows_7_13 + Board_7_0_13 + Board_7_1_13 + Board_7_2_13 + Board_7_3_13 + Board_7_4_13 + Board_7_5_13 + Board_7_6_13 + Board_7_7_13 + Board_7_8_13 + Board_7_9_13 + Board_7_10_13 + Board_7_11_13 + Board_7_12_13 + Board_7_13_13 + Board_7_14_13 = 1
inv : Rows_14_6 + Board_14_0_6 + Board_14_1_6 + Board_14_2_6 + Board_14_3_6 + Board_14_4_6 + Board_14_5_6 + Board_14_6_6 + Board_14_7_6 + Board_14_8_6 + Board_14_9_6 + Board_14_10_6 + Board_14_11_6 + Board_14_12_6 + Board_14_13_6 + Board_14_14_6 = 1
inv : Board_5_13_0 + Board_5_13_1 + Board_5_13_2 + Board_5_13_3 + Board_5_13_4 + Board_5_13_5 + Board_5_13_6 + Board_5_13_7 + Board_5_13_8 + Board_5_13_9 + Board_5_13_10 + Board_5_13_11 + Board_5_13_12 + Board_5_13_13 + Board_5_13_14 + Cells_5_13 = 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 + Board_12_11_13 + Board_12_11_14 + Cells_12_11 = 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 + Board_4_7_13 + Board_4_7_14 + Cells_4_7 = 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 + Board_13_0_8 + Board_14_0_8 + Columns_0_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 + Board_13_10_2 + Board_14_10_2 + Columns_10_2 = 1
inv : Board_0_13_12 + Board_1_13_12 + Board_2_13_12 + Board_3_13_12 + Board_4_13_12 + Board_5_13_12 + Board_6_13_12 + Board_7_13_12 + Board_8_13_12 + Board_9_13_12 + Board_10_13_12 + Board_11_13_12 + Board_12_13_12 + Board_13_13_12 + Board_14_13_12 + Columns_13_12 = 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 + Board_13_0_9 + Board_14_0_9 + Columns_0_9 = 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 + Board_12_0_13 + Board_12_0_14 + Cells_12_0 = 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 + Board_13_4_3 + Board_14_4_3 + Columns_4_3 = 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 + Board_13_10_3 + Board_14_10_3 + Columns_10_3 = 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 + Board_13_11_6 + Board_14_11_6 + Columns_11_6 = 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 + Board_1_13_4 + Board_1_14_4 = 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 + Board_13_6_8 + Board_14_6_8 + Columns_6_8 = 1
inv : Rows_12_14 + Board_12_0_14 + Board_12_1_14 + Board_12_2_14 + Board_12_3_14 + Board_12_4_14 + Board_12_5_14 + Board_12_6_14 + Board_12_7_14 + Board_12_8_14 + Board_12_9_14 + Board_12_10_14 + Board_12_11_14 + Board_12_12_14 + Board_12_13_14 + Board_12_14_14 = 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 + Board_3_13_7 + Board_3_14_7 = 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 + Board_1_1_13 + Board_1_1_14 + Cells_1_1 = 1
inv : Rows_4_5 + Board_4_0_5 + Board_4_1_5 + Board_4_2_5 + Board_4_3_5 + Board_4_4_5 + Board_4_5_5 + Board_4_6_5 + Board_4_7_5 + Board_4_8_5 + Board_4_9_5 + Board_4_10_5 + Board_4_11_5 + Board_4_12_5 + Board_4_13_5 + Board_4_14_5 = 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 + Board_0_13_6 + Board_0_14_6 = 1
inv : Board_14_2_0 + Board_14_2_1 + Board_14_2_2 + Board_14_2_3 + Board_14_2_4 + Board_14_2_5 + Board_14_2_6 + Board_14_2_7 + Board_14_2_8 + Board_14_2_9 + Board_14_2_10 + Board_14_2_11 + Board_14_2_12 + Board_14_2_13 + Board_14_2_14 + Cells_14_2 = 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 + Board_1_12_13 + Board_1_12_14 + Cells_1_12 = 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 + Board_2_5_13 + Board_2_5_14 + Cells_2_5 = 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 + Board_10_1_13 + Board_10_1_14 + Cells_10_1 = 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 + Board_3_3_13 + Board_3_3_14 + Cells_3_3 = 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 + Board_3_11_13 + Board_3_11_14 + Cells_3_11 = 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 + Board_10_9_13 + Board_10_9_14 + Cells_10_9 = 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 + Board_13_2_4 + Board_14_2_4 + Columns_2_4 = 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 + Board_2_13_9 + Board_2_14_9 = 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 + Board_11_7_13 + Board_11_7_14 + Cells_11_7 = 1
inv : Board_5_4_0 + Board_5_4_1 + Board_5_4_2 + Board_5_4_3 + Board_5_4_4 + Board_5_4_5 + Board_5_4_6 + Board_5_4_7 + Board_5_4_8 + Board_5_4_9 + Board_5_4_10 + Board_5_4_11 + Board_5_4_12 + Board_5_4_13 + Board_5_4_14 + Cells_5_4 = 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 + Board_13_8_7 + Board_14_8_7 + Columns_8_7 = 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 + Board_7_13_6 + Board_7_14_6 = 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 + Board_9_5_13 + Board_9_5_14 + Cells_9_5 = 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 + Board_13_7_12 + Board_14_7_12 + Columns_7_12 = 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 + Board_5_13_10 + Board_5_14_10 = 1
inv : Board_0_13_11 + Board_1_13_11 + Board_2_13_11 + Board_3_13_11 + Board_4_13_11 + Board_5_13_11 + Board_6_13_11 + Board_7_13_11 + Board_8_13_11 + Board_9_13_11 + Board_10_13_11 + Board_11_13_11 + Board_12_13_11 + Board_13_13_11 + Board_14_13_11 + Columns_13_11 = 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 + Board_6_10_13 + Board_6_10_14 + Cells_6_10 = 1
inv : Board_0_14_7 + Board_1_14_7 + Board_2_14_7 + Board_3_14_7 + Board_4_14_7 + Board_5_14_7 + Board_6_14_7 + Board_7_14_7 + Board_8_14_7 + Board_9_14_7 + Board_10_14_7 + Board_11_14_7 + Board_12_14_7 + Board_13_14_7 + Board_14_14_7 + Columns_14_7 = 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 + Board_6_6_13 + Board_6_6_14 + Cells_6_6 = 1
inv : Board_0_13_1 + Board_1_13_1 + Board_2_13_1 + Board_3_13_1 + Board_4_13_1 + Board_5_13_1 + Board_6_13_1 + Board_7_13_1 + Board_8_13_1 + Board_9_13_1 + Board_10_13_1 + Board_11_13_1 + Board_12_13_1 + Board_13_13_1 + Board_14_13_1 + Columns_13_1 = 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 + Board_10_13_7 + Board_10_14_7 = 1
inv : Board_0_2_14 + Board_1_2_14 + Board_2_2_14 + Board_3_2_14 + Board_4_2_14 + Board_5_2_14 + Board_6_2_14 + Board_7_2_14 + Board_8_2_14 + Board_9_2_14 + Board_10_2_14 + Board_11_2_14 + Board_12_2_14 + Board_13_2_14 + Board_14_2_14 + Columns_2_14 = 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 + Board_8_8_13 + Board_8_8_14 + Cells_8_8 = 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 + Board_2_13_8 + Board_2_14_8 = 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 + Board_7_2_13 + Board_7_2_14 + Cells_7_2 = 1
inv : Board_7_14_0 + Board_7_14_1 + Board_7_14_2 + Board_7_14_3 + Board_7_14_4 + Board_7_14_5 + Board_7_14_6 + Board_7_14_7 + Board_7_14_8 + Board_7_14_9 + Board_7_14_10 + Board_7_14_11 + Board_7_14_12 + Board_7_14_13 + Board_7_14_14 + Cells_7_14 = 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 + Board_0_8_13 + Board_0_8_14 + Cells_0_8 = 1
inv : Rows_1_10 + Board_1_0_10 + Board_1_1_10 + Board_1_2_10 + Board_1_3_10 + Board_1_4_10 + Board_1_5_10 + Board_1_6_10 + Board_1_7_10 + Board_1_8_10 + Board_1_9_10 + Board_1_10_10 + Board_1_11_10 + Board_1_12_10 + Board_1_13_10 + Board_1_14_10 = 1
inv : Board_2_14_0 + Board_2_14_1 + Board_2_14_2 + Board_2_14_3 + Board_2_14_4 + Board_2_14_5 + Board_2_14_6 + Board_2_14_7 + Board_2_14_8 + Board_2_14_9 + Board_2_14_10 + Board_2_14_11 + Board_2_14_12 + Board_2_14_13 + Board_2_14_14 + Cells_2_14 = 1
inv : Rows_5_14 + Board_5_0_14 + Board_5_1_14 + Board_5_2_14 + Board_5_3_14 + Board_5_4_14 + Board_5_5_14 + Board_5_6_14 + Board_5_7_14 + Board_5_8_14 + Board_5_9_14 + Board_5_10_14 + Board_5_11_14 + Board_5_12_14 + Board_5_13_14 + Board_5_14_14 = 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 + Board_13_11_12 + Board_14_11_12 + Columns_11_12 = 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 + Board_13_2_3 + Board_14_2_3 + Columns_2_3 = 1
inv : Rows_13_4 + Board_13_0_4 + Board_13_1_4 + Board_13_2_4 + Board_13_3_4 + Board_13_4_4 + Board_13_5_4 + Board_13_6_4 + Board_13_7_4 + Board_13_8_4 + Board_13_9_4 + Board_13_10_4 + Board_13_11_4 + Board_13_12_4 + Board_13_13_4 + Board_13_14_4 = 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 + Board_9_12_13 + Board_9_12_14 + Cells_9_12 = 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 + Board_13_8_3 + Board_14_8_3 + Columns_8_3 = 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 + Board_13_12_2 + Board_14_12_2 + Columns_12_2 = 1
inv : Board_10_13_0 + Board_10_13_1 + Board_10_13_2 + Board_10_13_3 + Board_10_13_4 + Board_10_13_5 + Board_10_13_6 + Board_10_13_7 + Board_10_13_8 + Board_10_13_9 + Board_10_13_10 + Board_10_13_11 + Board_10_13_12 + Board_10_13_13 + Board_10_13_14 + Cells_10_13 = 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 + Board_13_2_8 + Board_14_2_8 + Columns_2_8 = 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 + Board_4_0_13 + Board_4_0_14 + Cells_4_0 = 1
inv : Rows_14_2 + Board_14_0_2 + Board_14_1_2 + Board_14_2_2 + Board_14_3_2 + Board_14_4_2 + Board_14_5_2 + Board_14_6_2 + Board_14_7_2 + Board_14_8_2 + Board_14_9_2 + Board_14_10_2 + Board_14_11_2 + Board_14_12_2 + Board_14_13_2 + Board_14_14_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 + Board_10_13_3 + Board_10_14_3 = 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 + Board_13_9_7 + Board_14_9_7 + Columns_9_7 = 1
inv : Board_13_4_0 + Board_13_4_1 + Board_13_4_2 + Board_13_4_3 + Board_13_4_4 + Board_13_4_5 + Board_13_4_6 + Board_13_4_7 + Board_13_4_8 + Board_13_4_9 + Board_13_4_10 + Board_13_4_11 + Board_13_4_12 + Board_13_4_13 + Board_13_4_14 + Cells_13_4 = 1
inv : Board_13_8_0 + Board_13_8_1 + Board_13_8_2 + Board_13_8_3 + Board_13_8_4 + Board_13_8_5 + Board_13_8_6 + Board_13_8_7 + Board_13_8_8 + Board_13_8_9 + Board_13_8_10 + Board_13_8_11 + Board_13_8_12 + Board_13_8_13 + Board_13_8_14 + Cells_13_8 = 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 + Board_13_1_4 + Board_14_1_4 + Columns_1_4 = 1
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 + Board_13_11_2 + Board_14_11_2 + Columns_11_2 = 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 + Board_1_13_0 + Board_1_14_0 = 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 + Board_0_4_13 + Board_0_4_14 + Cells_0_4 = 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 + Board_12_13_10 + Board_12_14_10 = 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 + Board_0_12_13 + Board_0_12_14 + Cells_0_12 = 1
inv : Board_0_5_13 + Board_1_5_13 + Board_2_5_13 + Board_3_5_13 + Board_4_5_13 + Board_5_5_13 + Board_6_5_13 + Board_7_5_13 + Board_8_5_13 + Board_9_5_13 + Board_10_5_13 + Board_11_5_13 + Board_12_5_13 + Board_13_5_13 + Board_14_5_13 + Columns_5_13 = 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 + Board_6_13_8 + Board_6_14_8 = 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 + Board_4_13_11 + Board_4_14_11 = 1
inv : Board_0_4_13 + Board_1_4_13 + Board_2_4_13 + Board_3_4_13 + Board_4_4_13 + Board_5_4_13 + Board_6_4_13 + Board_7_4_13 + Board_8_4_13 + Board_9_4_13 + Board_10_4_13 + Board_11_4_13 + Board_12_4_13 + Board_13_4_13 + Board_14_4_13 + Columns_4_13 = 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 + Board_4_13_1 + Board_4_14_1 = 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 + Board_9_13_9 + Board_9_14_9 = 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 + Board_11_13_2 + Board_11_14_2 = 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 + Board_13_10_7 + Board_14_10_7 + Columns_10_7 = 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 + Board_13_11_10 + Board_14_11_10 + Columns_11_10 = 1
inv : Board_0_12_13 + Board_1_12_13 + Board_2_12_13 + Board_3_12_13 + Board_4_12_13 + Board_5_12_13 + Board_6_12_13 + Board_7_12_13 + Board_8_12_13 + Board_9_12_13 + Board_10_12_13 + Board_11_12_13 + Board_12_12_13 + Board_13_12_13 + Board_14_12_13 + Columns_12_13 = 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 + Board_4_2_13 + Board_4_2_14 + Cells_4_2 = 1
inv : Board_0_1_7 + Board_1_1_7 + Board_2_1_7 + Board_3_1_7 + Board_4_1_7 + Board_5_1_7 + Board_6_1_7 + Board_7_1_7 + Board_8_1_7 + Board_9_1_7 + Board_10_1_7 + Board_11_1_7 + Board_12_1_7 + Board_13_1_7 + Board_14_1_7 + Columns_1_7 = 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 + Board_13_4_7 + Board_14_4_7 + Columns_4_7 = 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 + Board_13_8_10 + Board_14_8_10 + Columns_8_10 = 1
inv : Board_0_6_13 + Board_1_6_13 + Board_2_6_13 + Board_3_6_13 + Board_4_6_13 + Board_5_6_13 + Board_6_6_13 + Board_7_6_13 + Board_8_6_13 + Board_9_6_13 + Board_10_6_13 + Board_11_6_13 + Board_12_6_13 + Board_13_6_13 + Board_14_6_13 + Columns_6_13 = 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 + Board_0_13_1 + Board_0_14_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 + Board_1_13_8 + Board_1_14_8 = 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 + Board_11_13_11 + Board_11_14_11 = 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 + Board_5_8_13 + Board_5_8_14 + Cells_5_8 = 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 + Board_13_5_10 + Board_14_5_10 + Columns_5_10 = 1
inv : Board_0_9_13 + Board_1_9_13 + Board_2_9_13 + Board_3_9_13 + Board_4_9_13 + Board_5_9_13 + Board_6_9_13 + Board_7_9_13 + Board_8_9_13 + Board_9_9_13 + Board_10_9_13 + Board_11_9_13 + Board_12_9_13 + Board_13_9_13 + Board_14_9_13 + Columns_9_13 = 1
inv : Board_0_14_10 + Board_1_14_10 + Board_2_14_10 + Board_3_14_10 + Board_4_14_10 + Board_5_14_10 + Board_6_14_10 + Board_7_14_10 + Board_8_14_10 + Board_9_14_10 + Board_10_14_10 + Board_11_14_10 + Board_12_14_10 + Board_13_14_10 + Board_14_14_10 + Columns_14_10 = 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 + Board_0_1_13 + Board_0_1_14 + Cells_0_1 = 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 + Board_2_11_13 + Board_2_11_14 + Cells_2_11 = 1
inv : Rows_10_13 + Board_10_0_13 + Board_10_1_13 + Board_10_2_13 + Board_10_3_13 + Board_10_4_13 + Board_10_5_13 + Board_10_6_13 + Board_10_7_13 + Board_10_8_13 + Board_10_9_13 + Board_10_10_13 + Board_10_11_13 + Board_10_12_13 + Board_10_13_13 + Board_10_14_13 = 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 + Board_12_5_13 + Board_12_5_14 + Cells_12_5 = 1
inv : Board_13_11_0 + Board_13_11_1 + Board_13_11_2 + Board_13_11_3 + Board_13_11_4 + Board_13_11_5 + Board_13_11_6 + Board_13_11_7 + Board_13_11_8 + Board_13_11_9 + Board_13_11_10 + Board_13_11_11 + Board_13_11_12 + Board_13_11_13 + Board_13_11_14 + Cells_13_11 = 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 + Board_1_5_13 + Board_1_5_14 + Cells_1_5 = 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 + Board_13_2_10 + Board_14_2_10 + Columns_2_10 = 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 + Board_4_13_0 + Board_4_14_0 = 1
inv : Board_1_7_0 + Board_1_7_1 + Board_1_7_2 + Board_1_7_3 + Board_1_7_4 + Board_1_7_5 + Board_1_7_6 + Board_1_7_7 + Board_1_7_8 + Board_1_7_9 + Board_1_7_10 + Board_1_7_11 + Board_1_7_12 + Board_1_7_13 + Board_1_7_14 + Cells_1_7 = 1
inv : Rows_13_7 + Board_13_0_7 + Board_13_1_7 + Board_13_2_7 + Board_13_3_7 + Board_13_4_7 + Board_13_5_7 + Board_13_6_7 + Board_13_7_7 + Board_13_8_7 + Board_13_9_7 + Board_13_10_7 + Board_13_11_7 + Board_13_12_7 + Board_13_13_7 + Board_13_14_7 = 1
inv : Rows_6_14 + Board_6_0_14 + Board_6_1_14 + Board_6_2_14 + Board_6_3_14 + Board_6_4_14 + Board_6_5_14 + Board_6_6_14 + Board_6_7_14 + Board_6_8_14 + Board_6_9_14 + Board_6_10_14 + Board_6_11_14 + Board_6_12_14 + Board_6_13_14 + Board_6_14_14 = 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 + Board_5_9_13 + Board_5_9_14 + Cells_5_9 = 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 + Board_6_12_13 + Board_6_12_14 + Cells_6_12 = 1
inv : Board_2_13_0 + Board_2_13_1 + Board_2_13_2 + Board_2_13_3 + Board_2_13_4 + Board_2_13_5 + Board_2_13_6 + Board_2_13_7 + Board_2_13_8 + Board_2_13_9 + Board_2_13_10 + Board_2_13_11 + Board_2_13_12 + Board_2_13_13 + Board_2_13_14 + Cells_2_13 = 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 + Board_12_7_13 + Board_12_7_14 + Cells_12_7 = 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 + Board_9_13_6 + Board_9_14_6 = 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 + Board_5_6_13 + Board_5_6_14 + Cells_5_6 = 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 + Board_7_13_10 + Board_7_14_10 = 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 + Board_3_13_4 + Board_3_14_4 = 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 + Board_11_1_13 + Board_11_1_14 + Cells_11_1 = 1
inv : Board_10_14_0 + Board_10_14_1 + Board_10_14_2 + Board_10_14_3 + Board_10_14_4 + Board_10_14_5 + Board_10_14_6 + Board_10_14_7 + Board_10_14_8 + Board_10_14_9 + Board_10_14_10 + Board_10_14_11 + Board_10_14_12 + Board_10_14_13 + Board_10_14_14 + Cells_10_14 = 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 + Board_5_13_9 + Board_5_14_9 = 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 + Board_9_10_13 + Board_9_10_14 + Cells_9_10 = 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 + Board_0_13_12 + Board_0_14_12 = 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 + Board_13_8_8 + Board_14_8_8 + Columns_8_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 + Board_8_3_13 + Board_8_3_14 + Cells_8_3 = 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 + Board_7_0_13 + Board_7_0_14 + Cells_7_0 = 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 + Board_13_4_5 + Board_14_4_5 + Columns_4_5 = 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 + Board_8_6_13 + Board_8_6_14 + Cells_8_6 = 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 + Board_13_7_7 + Board_14_7_7 + Columns_7_7 = 1
inv : Rows_14_14 + Board_14_0_14 + Board_14_1_14 + Board_14_2_14 + Board_14_3_14 + Board_14_4_14 + Board_14_5_14 + Board_14_6_14 + Board_14_7_14 + Board_14_8_14 + Board_14_9_14 + Board_14_10_14 + Board_14_11_14 + Board_14_12_14 + Board_14_13_14 + Board_14_14_14 = 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 + Board_8_4_13 + Board_8_4_14 + Cells_8_4 = 1
inv : Board_0_0_2 + Board_1_0_2 + Board_2_0_2 + Board_3_0_2 + Board_4_0_2 + Board_5_0_2 + Board_6_0_2 + Board_7_0_2 + Board_8_0_2 + Board_9_0_2 + Board_10_0_2 + Board_11_0_2 + Board_12_0_2 + Board_13_0_2 + Board_14_0_2 + Columns_0_2 = 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 + Board_12_13_11 + Board_12_14_11 = 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 + Board_1_13_1 + Board_1_14_1 = 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 + Board_13_11_3 + Board_14_11_3 + Columns_11_3 = 1
inv : Board_0_14_3 + Board_1_14_3 + Board_2_14_3 + Board_3_14_3 + Board_4_14_3 + Board_5_14_3 + Board_6_14_3 + Board_7_14_3 + Board_8_14_3 + Board_9_14_3 + Board_10_14_3 + Board_11_14_3 + Board_12_14_3 + Board_13_14_3 + Board_14_14_3 + Columns_14_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 + Board_13_4_0 + Board_14_4_0 + Columns_4_0 = 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 + Board_10_13_2 + Board_10_14_2 = 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 + Board_7_13_5 + Board_7_14_5 = 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 + Board_0_3_13 + Board_0_3_14 + Cells_0_3 = 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 + Board_12_8_13 + Board_12_8_14 + Cells_12_8 = 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 + Board_9_7_13 + Board_9_7_14 + Cells_9_7 = 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 + Board_4_5_13 + Board_4_5_14 + Cells_4_5 = 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 + Board_13_11_8 + Board_14_11_8 + Columns_11_8 = 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 + Board_13_3_2 + Board_14_3_2 + Columns_3_2 = 1
inv : Rows_13_0 + Board_13_0_0 + Board_13_1_0 + Board_13_2_0 + Board_13_3_0 + Board_13_4_0 + Board_13_5_0 + Board_13_6_0 + Board_13_7_0 + Board_13_8_0 + Board_13_9_0 + Board_13_10_0 + Board_13_11_0 + Board_13_12_0 + Board_13_13_0 + Board_13_14_0 = 1
inv : Board_0_13_0 + Board_1_13_0 + Board_2_13_0 + Board_3_13_0 + Board_4_13_0 + Board_5_13_0 + Board_6_13_0 + Board_7_13_0 + Board_8_13_0 + Board_9_13_0 + Board_10_13_0 + Board_11_13_0 + Board_12_13_0 + Board_13_13_0 + Board_14_13_0 + Columns_13_0 = 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 + Board_13_2_12 + Board_14_2_12 + Columns_2_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 + Board_1_4_13 + Board_1_4_14 + Cells_1_4 = 1
inv : Rows_9_13 + Board_9_0_13 + Board_9_1_13 + Board_9_2_13 + Board_9_3_13 + Board_9_4_13 + Board_9_5_13 + Board_9_6_13 + Board_9_7_13 + Board_9_8_13 + Board_9_9_13 + Board_9_10_13 + Board_9_11_13 + Board_9_12_13 + Board_9_13_13 + Board_9_14_13 = 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 + Board_8_13_12 + Board_8_14_12 = 1
inv : Board_3_14_0 + Board_3_14_1 + Board_3_14_2 + Board_3_14_3 + Board_3_14_4 + Board_3_14_5 + Board_3_14_6 + Board_3_14_7 + Board_3_14_8 + Board_3_14_9 + Board_3_14_10 + Board_3_14_11 + Board_3_14_12 + Board_3_14_13 + Board_3_14_14 + Cells_3_14 = 1
inv : Board_0_13_5 + Board_1_13_5 + Board_2_13_5 + Board_3_13_5 + Board_4_13_5 + Board_5_13_5 + Board_6_13_5 + Board_7_13_5 + Board_8_13_5 + Board_9_13_5 + Board_10_13_5 + Board_11_13_5 + Board_12_13_5 + Board_13_13_5 + Board_14_13_5 + Columns_13_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 + Board_1_13_6 + Board_1_14_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 + Board_13_6_2 + Board_14_6_2 + Columns_6_2 = 1
inv : Board_13_9_0 + Board_13_9_1 + Board_13_9_2 + Board_13_9_3 + Board_13_9_4 + Board_13_9_5 + Board_13_9_6 + Board_13_9_7 + Board_13_9_8 + Board_13_9_9 + Board_13_9_10 + Board_13_9_11 + Board_13_9_12 + Board_13_9_13 + Board_13_9_14 + Cells_13_9 = 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 + Board_13_5_12 + Board_14_5_12 + Columns_5_12 = 1
inv : Board_0_14_8 + Board_1_14_8 + Board_2_14_8 + Board_3_14_8 + Board_4_14_8 + Board_5_14_8 + Board_6_14_8 + Board_7_14_8 + Board_8_14_8 + Board_9_14_8 + Board_10_14_8 + Board_11_14_8 + Board_12_14_8 + Board_13_14_8 + Board_14_14_8 + Columns_14_8 = 1
inv : Rows_13_12 + Board_13_0_12 + Board_13_1_12 + Board_13_2_12 + Board_13_3_12 + Board_13_4_12 + Board_13_5_12 + Board_13_6_12 + Board_13_7_12 + Board_13_8_12 + Board_13_9_12 + Board_13_10_12 + Board_13_11_12 + Board_13_12_12 + Board_13_13_12 + Board_13_14_12 = 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 + Board_1_2_13 + Board_1_2_14 + Cells_1_2 = 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 + Board_3_13_11 + Board_3_14_11 = 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 + Board_9_13_8 + Board_9_14_8 = 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 + Board_13_4_12 + Board_14_4_12 + Columns_4_12 = 1
inv : Rows_13_5 + Board_13_0_5 + Board_13_1_5 + Board_13_2_5 + Board_13_3_5 + Board_13_4_5 + Board_13_5_5 + Board_13_6_5 + Board_13_7_5 + Board_13_8_5 + Board_13_9_5 + Board_13_10_5 + Board_13_11_5 + Board_13_12_5 + Board_13_13_5 + Board_13_14_5 = 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 + Board_13_0_0 + Board_14_0_0 + Columns_0_0 = 1
inv : Board_0_13_3 + Board_1_13_3 + Board_2_13_3 + Board_3_13_3 + Board_4_13_3 + Board_5_13_3 + Board_6_13_3 + Board_7_13_3 + Board_8_13_3 + Board_9_13_3 + Board_10_13_3 + Board_11_13_3 + Board_12_13_3 + Board_13_13_3 + Board_14_13_3 + Columns_13_3 = 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 + Board_7_13_3 + Board_7_14_3 = 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 + Board_13_1_5 + Board_14_1_5 + Columns_1_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 + Board_13_4_2 + Board_14_4_2 + Columns_4_2 = 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 + Board_3_13_6 + Board_3_14_6 = 1
inv : Rows_14_1 + Board_14_0_1 + Board_14_1_1 + Board_14_2_1 + Board_14_3_1 + Board_14_4_1 + Board_14_5_1 + Board_14_6_1 + Board_14_7_1 + Board_14_8_1 + Board_14_9_1 + Board_14_10_1 + Board_14_11_1 + Board_14_12_1 + Board_14_13_1 + Board_14_14_1 = 1
inv : Board_0_1_0 + Board_1_1_0 + Board_2_1_0 + Board_3_1_0 + Board_4_1_0 + Board_5_1_0 + Board_6_1_0 + Board_7_1_0 + Board_8_1_0 + Board_9_1_0 + Board_10_1_0 + Board_11_1_0 + Board_12_1_0 + Board_13_1_0 + Board_14_1_0 + Columns_1_0 = 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 + Board_13_12_8 + Board_14_12_8 + Columns_12_8 = 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 + Board_7_13_8 + Board_7_14_8 = 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 + Board_3_12_13 + Board_3_12_14 + Cells_3_12 = 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 + Board_8_9_13 + Board_8_9_14 + Cells_8_9 = 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 + Board_2_13_10 + Board_2_14_10 = 1
inv : Rows_13_2 + Board_13_0_2 + Board_13_1_2 + Board_13_2_2 + Board_13_3_2 + Board_13_4_2 + Board_13_5_2 + Board_13_6_2 + Board_13_7_2 + Board_13_8_2 + Board_13_9_2 + Board_13_10_2 + Board_13_11_2 + Board_13_12_2 + Board_13_13_2 + Board_13_14_2 = 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 + Board_5_13_12 + Board_5_14_12 = 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 + Board_10_13_0 + Board_10_14_0 = 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 + Board_1_13_3 + Board_1_14_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 + Board_10_0_13 + Board_10_0_14 + Cells_10_0 = 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 + Board_9_13_11 + Board_9_14_11 = 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 + Board_13_5_5 + Board_14_5_5 + Columns_5_5 = 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 + Board_5_3_13 + Board_5_3_14 + Cells_5_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 + Board_13_1_2 + Board_14_1_2 + Columns_1_2 = 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 + Board_6_13_1 + Board_6_14_1 = 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 + Board_3_1_13 + Board_3_1_14 + Cells_3_1 = 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 + Board_13_1_12 + Board_14_1_12 + Columns_1_12 = 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 + Board_13_3_0 + Board_14_3_0 + Columns_3_0 = 1
inv : Board_0_14_5 + Board_1_14_5 + Board_2_14_5 + Board_3_14_5 + Board_4_14_5 + Board_5_14_5 + Board_6_14_5 + Board_7_14_5 + Board_8_14_5 + Board_9_14_5 + Board_10_14_5 + Board_11_14_5 + Board_12_14_5 + Board_13_14_5 + Board_14_14_5 + Columns_14_5 = 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 + Board_13_2_5 + Board_14_2_5 + Columns_2_5 = 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 + Board_13_6_0 + Board_14_6_0 + Columns_6_0 = 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 + Board_12_10_13 + Board_12_10_14 + Cells_12_10 = 1
inv : Rows_0_14 + Board_0_0_14 + Board_0_1_14 + Board_0_2_14 + Board_0_3_14 + Board_0_4_14 + Board_0_5_14 + Board_0_6_14 + Board_0_7_14 + Board_0_8_14 + Board_0_9_14 + Board_0_10_14 + Board_0_11_14 + Board_0_12_14 + Board_0_13_14 + Board_0_14_14 = 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 + Board_0_6_13 + Board_0_6_14 + Cells_0_6 = 1
inv : Board_14_12_0 + Board_14_12_1 + Board_14_12_2 + Board_14_12_3 + Board_14_12_4 + Board_14_12_5 + Board_14_12_6 + Board_14_12_7 + Board_14_12_8 + Board_14_12_9 + Board_14_12_10 + Board_14_12_11 + Board_14_12_12 + Board_14_12_13 + Board_14_12_14 + Cells_14_12 = 1
inv : Board_13_6_0 + Board_13_6_1 + Board_13_6_2 + Board_13_6_3 + Board_13_6_4 + Board_13_6_5 + Board_13_6_6 + Board_13_6_7 + Board_13_6_8 + Board_13_6_9 + Board_13_6_10 + Board_13_6_11 + Board_13_6_12 + Board_13_6_13 + Board_13_6_14 + Cells_13_6 = 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 + Board_1_10_13 + Board_1_10_14 + Cells_1_10 = 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 + Board_11_4_13 + Board_11_4_14 + Cells_11_4 = 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 + Board_2_13_2 + Board_2_14_2 = 1
inv : Board_5_14_0 + Board_5_14_1 + Board_5_14_2 + Board_5_14_3 + Board_5_14_4 + Board_5_14_5 + Board_5_14_6 + Board_5_14_7 + Board_5_14_8 + Board_5_14_9 + Board_5_14_10 + Board_5_14_11 + Board_5_14_12 + Board_5_14_13 + Board_5_14_14 + Cells_5_14 = 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 + Board_12_13_3 + Board_12_14_3 = 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 + Board_12_2_13 + Board_12_2_14 + Cells_12_2 = 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 + Board_6_7_13 + Board_6_7_14 + Cells_6_7 = 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 + Board_13_10_10 + Board_14_10_10 + Columns_10_10 = 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 + Board_10_11_13 + Board_10_11_14 + Cells_10_11 = 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 + Board_13_3_10 + Board_14_3_10 + Columns_3_10 = 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 + Board_10_8_13 + Board_10_8_14 + Cells_10_8 = 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 + Board_13_12_0 + Board_14_12_0 + Columns_12_0 = 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 + Board_5_11_13 + Board_5_11_14 + Cells_5_11 = 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 + Board_13_12_10 + Board_14_12_10 + Columns_12_10 = 1
inv : Rows_14_9 + Board_14_0_9 + Board_14_1_9 + Board_14_2_9 + Board_14_3_9 + Board_14_4_9 + Board_14_5_9 + Board_14_6_9 + Board_14_7_9 + Board_14_8_9 + Board_14_9_9 + Board_14_10_9 + Board_14_11_9 + Board_14_12_9 + Board_14_13_9 + Board_14_14_9 = 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 + Board_13_11_5 + Board_14_11_5 + Columns_11_5 = 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 + Board_3_13_9 + Board_3_14_9 = 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 + Board_8_1_13 + Board_8_1_14 + Cells_8_1 = 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 + Board_13_4_10 + Board_14_4_10 + Columns_4_10 = 1
inv : Rows_12_13 + Board_12_0_13 + Board_12_1_13 + Board_12_2_13 + Board_12_3_13 + Board_12_4_13 + Board_12_5_13 + Board_12_6_13 + Board_12_7_13 + Board_12_8_13 + Board_12_9_13 + Board_12_10_13 + Board_12_11_13 + Board_12_12_13 + Board_12_13_13 + Board_12_14_13 = 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 + Board_9_13_1 + Board_9_14_1 = 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 + Board_13_0_7 + Board_14_0_7 + Columns_0_7 = 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 + Board_7_5_13 + Board_7_5_14 + Cells_7_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 + Board_7_13_0 + Board_7_14_0 = 1
inv : Rows_1_13 + Board_1_0_13 + Board_1_1_13 + Board_1_2_13 + Board_1_3_13 + Board_1_4_13 + Board_1_5_13 + Board_1_6_13 + Board_1_7_13 + Board_1_8_13 + Board_1_9_13 + Board_1_10_13 + Board_1_11_13 + Board_1_12_13 + Board_1_13_13 + Board_1_14_13 = 1
inv : Board_7_13_0 + Board_7_13_1 + Board_7_13_2 + Board_7_13_3 + Board_7_13_4 + Board_7_13_5 + Board_7_13_6 + Board_7_13_7 + Board_7_13_8 + Board_7_13_9 + Board_7_13_10 + Board_7_13_11 + Board_7_13_12 + Board_7_13_13 + Board_7_13_14 + Cells_7_13 = 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 + Board_4_13_3 + Board_4_14_3 = 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 + Board_9_2_13 + Board_9_2_14 + Cells_9_2 = 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 + Board_13_7_0 + Board_14_7_0 + Columns_7_0 = 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 + Board_11_13_9 + Board_11_14_9 = 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 + Board_11_13_4 + Board_11_14_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 + Board_4_10_13 + Board_4_10_14 + Cells_4_10 = 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 + Board_13_7_5 + Board_14_7_5 + Columns_7_5 = 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 + Board_4_13_8 + Board_4_14_8 = 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 + Board_13_6_10 + Board_14_6_10 + Columns_6_10 = 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 + Board_6_13_11 + Board_6_14_11 = 1
inv : Board_0_14_0 + Board_0_14_1 + Board_0_14_2 + Board_0_14_3 + Board_0_14_4 + Board_0_14_5 + Board_0_14_6 + Board_0_14_7 + Board_0_14_8 + Board_0_14_9 + Board_0_14_10 + Board_0_14_11 + Board_0_14_12 + Board_0_14_13 + Board_0_14_14 + Cells_0_14 = 1
inv : Board_12_13_0 + Board_12_13_1 + Board_12_13_2 + Board_12_13_3 + Board_12_13_4 + Board_12_13_5 + Board_12_13_6 + Board_12_13_7 + Board_12_13_8 + Board_12_13_9 + Board_12_13_10 + Board_12_13_11 + Board_12_13_12 + Board_12_13_13 + Board_12_13_14 + Cells_12_13 = 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 + Board_13_9_10 + Board_14_9_10 + Columns_9_10 = 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 + Board_3_9_13 + Board_3_9_14 + Cells_3_9 = 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 + Board_13_10_5 + Board_14_10_5 + Columns_10_5 = 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 + Board_2_8_13 + Board_2_8_14 + Cells_2_8 = 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 + Board_13_10_0 + Board_14_10_0 + Columns_10_0 = 1
inv : Rows_11_14 + Board_11_0_14 + Board_11_1_14 + Board_11_2_14 + Board_11_3_14 + Board_11_4_14 + Board_11_5_14 + Board_11_6_14 + Board_11_7_14 + Board_11_8_14 + Board_11_9_14 + Board_11_10_14 + Board_11_11_14 + Board_11_12_14 + Board_11_13_14 + Board_11_14_14 = 1
inv : Rows_4_13 + Board_4_0_13 + Board_4_1_13 + Board_4_2_13 + Board_4_3_13 + Board_4_4_13 + Board_4_5_13 + Board_4_6_13 + Board_4_7_13 + Board_4_8_13 + Board_4_9_13 + Board_4_10_13 + Board_4_11_13 + Board_4_12_13 + Board_4_13_13 + Board_4_14_13 = 1
inv : Board_13_14_0 + Board_13_14_1 + Board_13_14_2 + Board_13_14_3 + Board_13_14_4 + Board_13_14_5 + Board_13_14_6 + Board_13_14_7 + Board_13_14_8 + Board_13_14_9 + Board_13_14_10 + Board_13_14_11 + Board_13_14_12 + Board_13_14_13 + Board_13_14_14 + Cells_13_14 = 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 + Board_13_9_5 + Board_14_9_5 + Columns_9_5 = 1
inv : Rows_0_9 + Board_0_0_9 + Board_0_1_9 + Board_0_2_9 + Board_0_3_9 + Board_0_4_9 + Board_0_5_9 + Board_0_6_9 + Board_0_7_9 + Board_0_8_9 + Board_0_9_9 + Board_0_10_9 + Board_0_11_9 + Board_0_12_9 + Board_0_13_9 + Board_0_14_9 = 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 + Board_10_13_10 + Board_10_14_10 = 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 + Board_13_7_10 + Board_14_7_10 + Columns_7_10 = 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 + Board_0_13_4 + Board_0_14_4 = 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 + Board_13_9_0 + Board_14_9_0 + Columns_9_0 = 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 + Board_5_13_2 + Board_5_14_2 = 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 + Board_13_8_0 + Board_14_8_0 + Columns_8_0 = 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 + Board_13_8_5 + Board_14_8_5 + Columns_8_5 = 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 + Board_5_13_7 + Board_5_14_7 = 1
inv : Board_13_1_0 + Board_13_1_1 + Board_13_1_2 + Board_13_1_3 + Board_13_1_4 + Board_13_1_5 + Board_13_1_6 + Board_13_1_7 + Board_13_1_8 + Board_13_1_9 + Board_13_1_10 + Board_13_1_11 + Board_13_1_12 + Board_13_1_13 + Board_13_1_14 + Cells_13_1 = 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 + Board_6_3_13 + Board_6_3_14 + Cells_6_3 = 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 + Board_3_13_12 + Board_3_14_12 = 1
inv : Rows_14_4 + Board_14_0_4 + Board_14_1_4 + Board_14_2_4 + Board_14_3_4 + Board_14_4_4 + Board_14_5_4 + Board_14_6_4 + Board_14_7_4 + Board_14_8_4 + Board_14_9_4 + Board_14_10_4 + Board_14_11_4 + Board_14_12_4 + Board_14_13_4 + Board_14_14_4 = 1
inv : Rows_4_10 + Board_4_0_10 + Board_4_1_10 + Board_4_2_10 + Board_4_3_10 + Board_4_4_10 + Board_4_5_10 + Board_4_6_10 + Board_4_7_10 + Board_4_8_10 + Board_4_9_10 + Board_4_10_10 + Board_4_11_10 + Board_4_12_10 + Board_4_13_10 + Board_4_14_10 = 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 + Board_8_13_9 + Board_8_14_9 = 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 + Board_11_10_13 + Board_11_10_14 + Cells_11_10 = 1
inv : Rows_2_14 + Board_2_0_14 + Board_2_1_14 + Board_2_2_14 + Board_2_3_14 + Board_2_4_14 + Board_2_5_14 + Board_2_6_14 + Board_2_7_14 + Board_2_8_14 + Board_2_9_14 + Board_2_10_14 + Board_2_11_14 + Board_2_12_14 + Board_2_13_14 + Board_2_14_14 = 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 + Board_4_12_13 + Board_4_12_14 + Cells_4_12 = 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 + Board_9_13_7 + Board_9_14_7 = 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 + Board_10_13_5 + Board_10_14_5 = 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 + Board_5_13_8 + Board_5_14_8 = 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 + Board_3_6_13 + Board_3_6_14 + Cells_3_6 = 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 + Board_13_0_3 + Board_14_0_3 + Columns_0_3 = 1
inv : Board_14_7_0 + Board_14_7_1 + Board_14_7_2 + Board_14_7_3 + Board_14_7_4 + Board_14_7_5 + Board_14_7_6 + Board_14_7_7 + Board_14_7_8 + Board_14_7_9 + Board_14_7_10 + Board_14_7_11 + Board_14_7_12 + Board_14_7_13 + Board_14_7_14 + Cells_14_7 = 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 + Board_0_13_11 + Board_0_14_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 + Board_0_11_13 + Board_0_11_14 + Cells_0_11 = 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 + Board_2_2_13 + Board_2_2_14 + Cells_2_2 = 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 + Board_2_0_13 + Board_2_0_14 + Cells_2_0 = 1
inv : Board_0_8_9 + Board_1_8_9 + Board_2_8_9 + Board_3_8_9 + Board_4_8_9 + Board_5_8_9 + Board_6_8_9 + Board_7_8_9 + Board_8_8_9 + Board_9_8_9 + Board_10_8_9 + Board_11_8_9 + Board_12_8_9 + Board_13_8_9 + Board_14_8_9 + Columns_8_9 = 1
inv : Board_0_3_5 + Board_1_3_5 + Board_2_3_5 + Board_3_3_5 + Board_4_3_5 + Board_5_3_5 + Board_6_3_5 + Board_7_3_5 + Board_8_3_5 + Board_9_3_5 + Board_10_3_5 + Board_11_3_5 + Board_12_3_5 + Board_13_3_5 + Board_14_3_5 + Columns_3_5 = 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 + Board_13_8_2 + Board_14_8_2 + Columns_8_2 = 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 + Board_13_5_11 + Board_14_5_11 + Columns_5_11 = 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 + Board_13_10_8 + Board_14_10_8 + Columns_10_8 = 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 + Board_13_11_11 + Board_14_11_11 + Columns_11_11 = 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 + Board_6_13_6 + Board_6_14_6 = 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 + Board_10_6_13 + Board_10_6_14 + Cells_10_6 = 1
inv : Board_8_13_0 + Board_8_13_1 + Board_8_13_2 + Board_8_13_3 + Board_8_13_4 + Board_8_13_5 + Board_8_13_6 + Board_8_13_7 + Board_8_13_8 + Board_8_13_9 + Board_8_13_10 + Board_8_13_11 + Board_8_13_12 + Board_8_13_13 + Board_8_13_14 + Cells_8_13 = 1
inv : Board_0_14_2 + Board_1_14_2 + Board_2_14_2 + Board_3_14_2 + Board_4_14_2 + Board_5_14_2 + Board_6_14_2 + Board_7_14_2 + Board_8_14_2 + Board_9_14_2 + Board_10_14_2 + Board_11_14_2 + Board_12_14_2 + Board_13_14_2 + Board_14_14_2 + Columns_14_2 = 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 + Board_3_8_13 + Board_3_8_14 + Cells_3_8 = 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 + Board_13_5_0 + Board_14_5_0 + Columns_5_0 = 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 + Board_13_7_6 + Board_14_7_6 + Columns_7_6 = 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 + Board_13_2_9 + Board_14_2_9 + Columns_2_9 = 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 + Board_11_13_3 + Board_11_14_3 = 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 + Board_11_12_13 + Board_11_12_14 + Cells_11_12 = 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 + Board_10_4_13 + Board_10_4_14 + Cells_10_4 = 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 + Board_13_11_0 + Board_14_11_0 + Columns_11_0 = 1
inv : Board_4_14_0 + Board_4_14_1 + Board_4_14_2 + Board_4_14_3 + Board_4_14_4 + Board_4_14_5 + Board_4_14_6 + Board_4_14_7 + Board_4_14_8 + Board_4_14_9 + Board_4_14_10 + Board_4_14_11 + Board_4_14_12 + Board_4_14_13 + Board_4_14_14 + Cells_4_14 = 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 + Board_7_13_11 + Board_7_14_11 = 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 + Board_9_0_13 + Board_9_0_14 + Cells_9_0 = 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 + Board_6_1_13 + Board_6_1_14 + Cells_6_1 = 1
inv : Board_6_5_0 + Board_6_5_1 + Board_6_5_2 + Board_6_5_3 + Board_6_5_4 + Board_6_5_5 + Board_6_5_6 + Board_6_5_7 + Board_6_5_8 + Board_6_5_9 + Board_6_5_10 + Board_6_5_11 + Board_6_5_12 + Board_6_5_13 + Board_6_5_14 + Cells_6_5 = 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 + Board_7_7_13 + Board_7_7_14 + Cells_7_7 = 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 + Board_10_13_12 + Board_10_14_12 = 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 + Board_7_9_13 + Board_7_9_14 + Cells_7_9 = 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 + Board_12_13_8 + Board_12_14_8 = 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 + Board_7_11_13 + Board_7_11_14 + Cells_7_11 = 1
inv : Board_0_13_6 + Board_1_13_6 + Board_2_13_6 + Board_3_13_6 + Board_4_13_6 + Board_5_13_6 + Board_6_13_6 + Board_7_13_6 + Board_8_13_6 + Board_9_13_6 + Board_10_13_6 + Board_11_13_6 + Board_12_13_6 + Board_13_13_6 + Board_14_13_6 + Columns_13_6 = 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 + Board_9_13_0 + Board_9_14_0 = 1
inv : Board_0_13_0 + Board_0_13_1 + Board_0_13_2 + Board_0_13_3 + Board_0_13_4 + Board_0_13_5 + Board_0_13_6 + Board_0_13_7 + Board_0_13_8 + Board_0_13_9 + Board_0_13_10 + Board_0_13_11 + Board_0_13_12 + Board_0_13_13 + Board_0_13_14 + Cells_0_13 = 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 + Board_3_4_13 + Board_3_4_14 + Cells_3_4 = 1
inv : Rows_14_11 + Board_14_0_11 + Board_14_1_11 + Board_14_2_11 + Board_14_3_11 + Board_14_4_11 + Board_14_5_11 + Board_14_6_11 + Board_14_7_11 + Board_14_8_11 + Board_14_9_11 + Board_14_10_11 + Board_14_11_11 + Board_14_12_11 + Board_14_13_11 + Board_14_14_11 = 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 + Board_10_2_13 + Board_10_2_14 + Cells_10_2 = 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 + Board_5_13_1 + Board_5_14_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 + Board_3_10_13 + Board_3_10_14 + Cells_3_10 = 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 + Board_13_5_7 + Board_14_5_7 + Columns_5_7 = 1
inv : Board_12_14_0 + Board_12_14_1 + Board_12_14_2 + Board_12_14_3 + Board_12_14_4 + Board_12_14_5 + Board_12_14_6 + Board_12_14_7 + Board_12_14_8 + Board_12_14_9 + Board_12_14_10 + Board_12_14_11 + Board_12_14_12 + Board_12_14_13 + Board_12_14_14 + Cells_12_14 = 1
inv : Board_0_13_13 + Board_1_13_13 + Board_2_13_13 + Board_3_13_13 + Board_4_13_13 + Board_5_13_13 + Board_6_13_13 + Board_7_13_13 + Board_8_13_13 + Board_9_13_13 + Board_10_13_13 + Board_11_13_13 + Board_12_13_13 + Board_13_13_13 + Board_14_13_13 + Columns_13_13 = 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 + Board_2_13_7 + Board_2_14_7 = 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 + Board_13_4_4 + Board_14_4_4 + Columns_4_4 = 1
inv : Board_13_3_0 + Board_13_3_1 + Board_13_3_2 + Board_13_3_3 + Board_13_3_4 + Board_13_3_5 + Board_13_3_6 + Board_13_3_7 + Board_13_3_8 + Board_13_3_9 + Board_13_3_10 + Board_13_3_11 + Board_13_3_12 + Board_13_3_13 + Board_13_3_14 + Cells_13_3 = 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 + Board_0_9_13 + Board_0_9_14 + Cells_0_9 = 1
inv : Board_0_14_13 + Board_1_14_13 + Board_2_14_13 + Board_3_14_13 + Board_4_14_13 + Board_5_14_13 + Board_6_14_13 + Board_7_14_13 + Board_8_14_13 + Board_9_14_13 + Board_10_14_13 + Board_11_14_13 + Board_12_14_13 + Board_13_14_13 + Board_14_14_13 + Columns_14_13 = 1
inv : Board_0_13_10 + Board_1_13_10 + Board_2_13_10 + Board_3_13_10 + Board_4_13_10 + Board_5_13_10 + Board_6_13_10 + Board_7_13_10 + Board_8_13_10 + Board_9_13_10 + Board_10_13_10 + Board_11_13_10 + Board_12_13_10 + Board_13_13_10 + Board_14_13_10 + Columns_13_10 = 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 + Board_13_5_4 + Board_14_5_4 + Columns_5_4 = 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 + Board_8_13_2 + Board_8_14_2 = 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 + Board_1_13_9 + Board_1_14_9 = 1
inv : Board_0_6_14 + Board_1_6_14 + Board_2_6_14 + Board_3_6_14 + Board_4_6_14 + Board_5_6_14 + Board_6_6_14 + Board_7_6_14 + Board_8_6_14 + Board_9_6_14 + Board_10_6_14 + Board_11_6_14 + Board_12_6_14 + Board_13_6_14 + Board_14_6_14 + Columns_6_14 = 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 + Board_0_13_0 + Board_0_14_0 = 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 + Board_13_2_2 + Board_14_2_2 + Columns_2_2 = 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 + Board_12_13_1 + Board_12_14_1 = 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 + Board_0_7_13 + Board_0_7_14 + Cells_0_7 = 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 + Board_2_13_0 + Board_2_14_0 = 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 + Board_13_12_3 + Board_14_12_3 + Columns_12_3 = 1
inv : Rows_13_10 + Board_13_0_10 + Board_13_1_10 + Board_13_2_10 + Board_13_3_10 + Board_13_4_10 + Board_13_5_10 + Board_13_6_10 + Board_13_7_10 + Board_13_8_10 + Board_13_9_10 + Board_13_10_10 + Board_13_11_10 + Board_13_12_10 + Board_13_13_10 + Board_13_14_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 + Board_13_1_10 + Board_14_1_10 + Columns_1_10 = 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 + Board_9_13_3 + Board_9_14_3 = 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 + Board_13_9_1 + Board_14_9_1 + Columns_9_1 = 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 + Board_13_0_10 + Board_14_0_10 + Columns_0_10 = 1
inv : Rows_6_2 + Board_6_0_2 + Board_6_1_2 + Board_6_2_2 + Board_6_3_2 + Board_6_4_2 + Board_6_5_2 + Board_6_6_2 + Board_6_7_2 + Board_6_8_2 + Board_6_9_2 + Board_6_10_2 + Board_6_11_2 + Board_6_12_2 + Board_6_13_2 + Board_6_14_2 = 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 + Board_13_3_12 + Board_14_3_12 + Columns_3_12 = 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 + Board_13_10_1 + Board_14_10_1 + Columns_10_1 = 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 + Board_3_13_1 + Board_3_14_1 = 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 + Board_11_13_10 + Board_11_14_10 = 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 + Board_10_10_13 + Board_10_10_14 + Cells_10_10 = 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 + Board_7_13_7 + Board_7_14_7 = 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 + Board_8_13_5 + Board_8_14_5 = 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 + Board_13_10_11 + Board_14_10_11 + Columns_10_11 = 1
inv : Board_0_5_14 + Board_1_5_14 + Board_2_5_14 + Board_3_5_14 + Board_4_5_14 + Board_5_5_14 + Board_6_5_14 + Board_7_5_14 + Board_8_5_14 + Board_9_5_14 + Board_10_5_14 + Board_11_5_14 + Board_12_5_14 + Board_13_5_14 + Board_14_5_14 + Columns_5_14 = 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 + Board_3_13_8 + Board_3_14_8 = 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 + Board_11_13_6 + Board_11_14_6 = 1
inv : Board_0_14_6 + Board_1_14_6 + Board_2_14_6 + Board_3_14_6 + Board_4_14_6 + Board_5_14_6 + Board_6_14_6 + Board_7_14_6 + Board_8_14_6 + Board_9_14_6 + Board_10_14_6 + Board_11_14_6 + Board_12_14_6 + Board_13_14_6 + Board_14_14_6 + Columns_14_6 = 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 + Board_11_6_13 + Board_11_6_14 + Cells_11_6 = 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 + Board_1_0_13 + Board_1_0_14 + Cells_1_0 = 1
inv : Rows_14_8 + Board_14_0_8 + Board_14_1_8 + Board_14_2_8 + Board_14_3_8 + Board_14_4_8 + Board_14_5_8 + Board_14_6_8 + Board_14_7_8 + Board_14_8_8 + Board_14_9_8 + Board_14_10_8 + Board_14_11_8 + Board_14_12_8 + Board_14_13_8 + Board_14_14_8 = 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 + Board_6_13_9 + Board_6_14_9 = 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 + Board_3_2_13 + Board_3_2_14 + Cells_3_2 = 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 + Board_2_6_13 + Board_2_6_14 + Cells_2_6 = 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 + Board_12_13_4 + Board_12_14_4 = 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 + Board_10_13_8 + Board_10_14_8 = 1
inv : Board_14_1_0 + Board_14_1_1 + Board_14_1_2 + Board_14_1_3 + Board_14_1_4 + Board_14_1_5 + Board_14_1_6 + Board_14_1_7 + Board_14_1_8 + Board_14_1_9 + Board_14_1_10 + Board_14_1_11 + Board_14_1_12 + Board_14_1_13 + Board_14_1_14 + Cells_14_1 = 1
inv : Board_0_13_2 + Board_1_13_2 + Board_2_13_2 + Board_3_13_2 + Board_4_13_2 + Board_5_13_2 + Board_6_13_2 + Board_7_13_2 + Board_8_13_2 + Board_9_13_2 + Board_10_13_2 + Board_11_13_2 + Board_12_13_2 + Board_13_13_2 + Board_14_13_2 + Columns_13_2 = 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 + Board_13_3_8 + Board_14_3_8 + Columns_3_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 + Board_13_7_3 + Board_14_7_3 + Columns_7_3 = 1
inv : Rows_13_3 + Board_13_0_3 + Board_13_1_3 + Board_13_2_3 + Board_13_3_3 + Board_13_4_3 + Board_13_5_3 + Board_13_6_3 + Board_13_7_3 + Board_13_8_3 + Board_13_9_3 + Board_13_10_3 + Board_13_11_3 + Board_13_12_3 + Board_13_13_3 + Board_13_14_3 = 1
inv : Board_13_5_0 + Board_13_5_1 + Board_13_5_2 + Board_13_5_3 + Board_13_5_4 + Board_13_5_5 + Board_13_5_6 + Board_13_5_7 + Board_13_5_8 + Board_13_5_9 + Board_13_5_10 + Board_13_5_11 + Board_13_5_12 + Board_13_5_13 + Board_13_5_14 + Cells_13_5 = 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 + Board_12_12_13 + Board_12_12_14 + Cells_12_12 = 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 + Board_5_13_4 + Board_5_14_4 = 1
inv : Board_11_14_0 + Board_11_14_1 + Board_11_14_2 + Board_11_14_3 + Board_11_14_4 + Board_11_14_5 + Board_11_14_6 + Board_11_14_7 + Board_11_14_8 + Board_11_14_9 + Board_11_14_10 + Board_11_14_11 + Board_11_14_12 + Board_11_14_13 + Board_11_14_14 + Cells_11_14 = 1
inv : Board_0_2_13 + Board_1_2_13 + Board_2_2_13 + Board_3_2_13 + Board_4_2_13 + Board_5_2_13 + Board_6_2_13 + Board_7_2_13 + Board_8_2_13 + Board_9_2_13 + Board_10_2_13 + Board_11_2_13 + Board_12_2_13 + Board_13_2_13 + Board_14_2_13 + Columns_2_13 = 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 + Board_13_6_7 + Board_14_6_7 + Columns_6_7 = 1
inv : Board_9_13_0 + Board_9_13_1 + Board_9_13_2 + Board_9_13_3 + Board_9_13_4 + Board_9_13_5 + Board_9_13_6 + Board_9_13_7 + Board_9_13_8 + Board_9_13_9 + Board_9_13_10 + Board_9_13_11 + Board_9_13_12 + Board_9_13_13 + Board_9_13_14 + Cells_9_13 = 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 + Board_5_12_13 + Board_5_12_14 + Cells_5_12 = 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 + Board_4_8_13 + Board_4_8_14 + Cells_4_8 = 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 + Board_5_1_13 + Board_5_1_14 + Cells_5_1 = 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 + Board_8_11_13 + Board_8_11_14 + Cells_8_11 = 1
inv : Board_0_1_13 + Board_1_1_13 + Board_2_1_13 + Board_3_1_13 + Board_4_1_13 + Board_5_1_13 + Board_6_1_13 + Board_7_1_13 + Board_8_1_13 + Board_9_1_13 + Board_10_1_13 + Board_11_1_13 + Board_12_1_13 + Board_13_1_13 + Board_14_1_13 + Columns_1_13 = 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 + Board_11_13_7 + Board_11_14_7 = 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 + Board_6_9_13 + Board_6_9_14 + Cells_6_9 = 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 + Board_13_7_2 + Board_14_7_2 + Columns_7_2 = 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 + Board_13_9_8 + Board_14_9_8 + Columns_9_8 = 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 + Board_13_1_3 + Board_14_1_3 + Columns_1_3 = 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 + Board_13_3_9 + Board_14_3_9 + Columns_3_9 = 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 + Board_9_4_13 + Board_9_4_14 + Cells_9_4 = 1
inv : Board_0_8_13 + Board_1_8_13 + Board_2_8_13 + Board_3_8_13 + Board_4_8_13 + Board_5_8_13 + Board_6_8_13 + Board_7_8_13 + Board_8_8_13 + Board_9_8_13 + Board_10_8_13 + Board_11_8_13 + Board_12_8_13 + Board_13_8_13 + Board_14_8_13 + Columns_8_13 = 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 + Board_0_13_7 + Board_0_14_7 = 1
inv : Rows_8_6 + Board_8_0_6 + Board_8_1_6 + Board_8_2_6 + Board_8_3_6 + Board_8_4_6 + Board_8_5_6 + Board_8_6_6 + Board_8_7_6 + Board_8_8_6 + Board_8_9_6 + Board_8_10_6 + Board_8_11_6 + Board_8_12_6 + Board_8_13_6 + Board_8_14_6 = 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 + Board_7_3_13 + Board_7_3_14 + Cells_7_3 = 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 + Board_8_7_13 + Board_8_7_14 + Cells_8_7 = 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 + Board_2_13_3 + Board_2_14_3 = 1
inv : Board_8_0_0 + Board_8_0_1 + Board_8_0_2 + Board_8_0_3 + Board_8_0_4 + Board_8_0_5 + Board_8_0_6 + Board_8_0_7 + Board_8_0_8 + Board_8_0_9 + Board_8_0_10 + Board_8_0_11 + Board_8_0_12 + Board_8_0_13 + Board_8_0_14 + Cells_8_0 = 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 + Board_13_8_12 + Board_14_8_12 + Columns_8_12 = 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 + Board_12_3_13 + Board_12_3_14 + Cells_12_3 = 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 + Board_13_1_9 + Board_14_1_9 + Columns_1_9 = 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 + Board_6_13_3 + Board_6_14_3 = 1
inv : Board_0_1_14 + Board_1_1_14 + Board_2_1_14 + Board_3_1_14 + Board_4_1_14 + Board_5_1_14 + Board_6_1_14 + Board_7_1_14 + Board_8_1_14 + Board_9_1_14 + Board_10_1_14 + Board_11_1_14 + Board_12_1_14 + Board_13_1_14 + Board_14_1_14 + Columns_1_14 = 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 + Board_5_5_13 + Board_5_5_14 + Cells_5_5 = 1
inv : Rows_13_13 + Board_13_0_13 + Board_13_1_13 + Board_13_2_13 + Board_13_3_13 + Board_13_4_13 + Board_13_5_13 + Board_13_6_13 + Board_13_7_13 + Board_13_8_13 + Board_13_9_13 + Board_13_10_13 + Board_13_11_13 + Board_13_12_13 + Board_13_13_13 + Board_13_14_13 = 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 + Board_5_13_5 + Board_5_14_5 = 1
inv : Rows_13_9 + Board_13_0_9 + Board_13_1_9 + Board_13_2_9 + Board_13_3_9 + Board_13_4_9 + Board_13_5_9 + Board_13_6_9 + Board_13_7_9 + Board_13_8_9 + Board_13_9_9 + Board_13_10_9 + Board_13_11_9 + Board_13_12_9 + Board_13_13_9 + Board_13_14_9 = 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 + Board_5_13_0 + Board_5_14_0 = 1
inv : Board_0_7_13 + Board_1_7_13 + Board_2_7_13 + Board_3_7_13 + Board_4_7_13 + Board_5_7_13 + Board_6_7_13 + Board_7_7_13 + Board_8_7_13 + Board_9_7_13 + Board_10_7_13 + Board_11_7_13 + Board_12_7_13 + Board_13_7_13 + Board_14_7_13 + Columns_7_13 = 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 + Board_4_4_13 + Board_4_4_14 + Cells_4_4 = 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 + Board_2_13_4 + Board_2_14_4 = 1
inv : Board_14_5_0 + Board_14_5_1 + Board_14_5_2 + Board_14_5_3 + Board_14_5_4 + Board_14_5_5 + Board_14_5_6 + Board_14_5_7 + Board_14_5_8 + Board_14_5_9 + Board_14_5_10 + Board_14_5_11 + Board_14_5_12 + Board_14_5_13 + Board_14_5_14 + Cells_14_5 = 1
inv : Board_14_9_0 + Board_14_9_1 + Board_14_9_2 + Board_14_9_3 + Board_14_9_4 + Board_14_9_5 + Board_14_9_6 + Board_14_9_7 + Board_14_9_8 + Board_14_9_9 + Board_14_9_10 + Board_14_9_11 + Board_14_9_12 + Board_14_9_13 + Board_14_9_14 + Cells_14_9 = 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 + Board_2_10_13 + Board_2_10_14 + Cells_2_10 = 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 + Board_13_9_2 + Board_14_9_2 + Columns_9_2 = 1
inv : Board_1_9_0 + Board_1_9_1 + Board_1_9_2 + Board_1_9_3 + Board_1_9_4 + Board_1_9_5 + Board_1_9_6 + Board_1_9_7 + Board_1_9_8 + Board_1_9_9 + Board_1_9_10 + Board_1_9_11 + Board_1_9_12 + Board_1_9_13 + Board_1_9_14 + Cells_1_9 = 1
inv : Board_1_13_0 + Board_1_13_1 + Board_1_13_2 + Board_1_13_3 + Board_1_13_4 + Board_1_13_5 + Board_1_13_6 + Board_1_13_7 + Board_1_13_8 + Board_1_13_9 + Board_1_13_10 + Board_1_13_11 + Board_1_13_12 + Board_1_13_13 + Board_1_13_14 + Cells_1_13 = 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 + Board_13_4_8 + Board_14_4_8 + Columns_4_8 = 1
inv : Board_0_0_14 + Board_1_0_14 + Board_2_0_14 + Board_3_0_14 + Board_4_0_14 + Board_5_0_14 + Board_6_0_14 + Board_7_0_14 + Board_8_0_14 + Board_9_0_14 + Board_10_0_14 + Board_11_0_14 + Board_12_0_14 + Board_13_0_14 + Board_14_0_14 + Columns_0_14 = 1
inv : Board_14_13_0 + Board_14_13_1 + Board_14_13_2 + Board_14_13_3 + Board_14_13_4 + Board_14_13_5 + Board_14_13_6 + Board_14_13_7 + Board_14_13_8 + Board_14_13_9 + Board_14_13_10 + Board_14_13_11 + Board_14_13_12 + Board_14_13_13 + Board_14_13_14 + Cells_14_13 = 1
inv : Rows_6_13 + Board_6_0_13 + Board_6_1_13 + Board_6_2_13 + Board_6_3_13 + Board_6_4_13 + Board_6_5_13 + Board_6_6_13 + Board_6_7_13 + Board_6_8_13 + Board_6_9_13 + Board_6_10_13 + Board_6_11_13 + Board_6_12_13 + Board_6_13_13 + Board_6_14_13 = 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 + Board_13_9_12 + Board_14_9_12 + Columns_9_12 = 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 + Board_13_12_7 + Board_14_12_7 + Columns_12_7 = 1
inv : Rows_14_7 + Board_14_0_7 + Board_14_1_7 + Board_14_2_7 + Board_14_3_7 + Board_14_4_7 + Board_14_5_7 + Board_14_6_7 + Board_14_7_7 + Board_14_8_7 + Board_14_9_7 + Board_14_10_7 + Board_14_11_7 + Board_14_12_7 + Board_14_13_7 + Board_14_14_7 = 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 + Board_4_13_6 + Board_4_14_6 = 1
inv : Rows_14_12 + Board_14_0_12 + Board_14_1_12 + Board_14_2_12 + Board_14_3_12 + Board_14_4_12 + Board_14_5_12 + Board_14_6_12 + Board_14_7_12 + Board_14_8_12 + Board_14_9_12 + Board_14_10_12 + Board_14_11_12 + Board_14_12_12 + Board_14_13_12 + Board_14_14_12 = 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 + Board_13_6_3 + Board_14_6_3 + Columns_6_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 + Board_1_13_5 + Board_1_14_5 = 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 + Board_9_13_4 + Board_9_14_4 = 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 + Board_13_11_7 + Board_14_11_7 + Columns_11_7 = 1
inv : Rows_9_14 + Board_9_0_14 + Board_9_1_14 + Board_9_2_14 + Board_9_3_14 + Board_9_4_14 + Board_9_5_14 + Board_9_6_14 + Board_9_7_14 + Board_9_8_14 + Board_9_9_14 + Board_9_10_14 + Board_9_11_14 + Board_9_12_14 + Board_9_13_14 + Board_9_14_14 = 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 + Board_13_10_12 + Board_14_10_12 + Columns_10_12 = 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 + Board_12_13_0 + Board_12_14_0 = 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 + Board_12_13_5 + Board_12_14_5 = 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 + Board_13_5_8 + Board_14_5_8 + Columns_5_8 = 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 + Board_13_5_3 + Board_14_5_3 + Columns_5_3 = 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 + Board_1_6_13 + Board_1_6_14 + Cells_1_6 = 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 + Board_6_13_5 + Board_6_14_5 = 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 + Board_13_9_4 + Board_14_9_4 + Columns_9_4 = 1
inv : Board_0_14_1 + Board_1_14_1 + Board_2_14_1 + Board_3_14_1 + Board_4_14_1 + Board_5_14_1 + Board_6_14_1 + Board_7_14_1 + Board_8_14_1 + Board_9_14_1 + Board_10_14_1 + Board_11_14_1 + Board_12_14_1 + Board_13_14_1 + Board_14_14_1 + Columns_14_1 = 1
inv : Board_0_2_1 + Board_1_2_1 + Board_2_2_1 + Board_3_2_1 + Board_4_2_1 + Board_5_2_1 + Board_6_2_1 + Board_7_2_1 + Board_8_2_1 + Board_9_2_1 + Board_10_2_1 + Board_11_2_1 + Board_12_2_1 + Board_13_2_1 + Board_14_2_1 + Columns_2_1 = 1
inv : Board_0_3_13 + Board_1_3_13 + Board_2_3_13 + Board_3_3_13 + Board_4_3_13 + Board_5_3_13 + Board_6_3_13 + Board_7_3_13 + Board_8_3_13 + Board_9_3_13 + Board_10_3_13 + Board_11_3_13 + Board_12_3_13 + Board_13_3_13 + Board_14_3_13 + Columns_3_13 = 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 + Board_13_6_4 + Board_14_6_4 + Columns_6_4 = 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 + Board_0_13_10 + Board_0_14_10 = 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 + Board_13_11_1 + Board_14_11_1 + Columns_11_1 = 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 + Board_12_6_13 + Board_12_6_14 + Cells_12_6 = 1
inv : Board_0_13_7 + Board_1_13_7 + Board_2_13_7 + Board_3_13_7 + Board_4_13_7 + Board_5_13_7 + Board_6_13_7 + Board_7_13_7 + Board_8_13_7 + Board_9_13_7 + Board_10_13_7 + Board_11_13_7 + Board_12_13_7 + Board_13_13_7 + Board_14_13_7 + Columns_13_7 = 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 + Board_0_0_13 + Board_0_0_14 + Cells_0_0 = 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 + Board_13_0_4 + Board_14_0_4 + Columns_0_4 = 1
inv : Board_0_0_13 + Board_1_0_13 + Board_2_0_13 + Board_3_0_13 + Board_4_0_13 + Board_5_0_13 + Board_6_0_13 + Board_7_0_13 + Board_8_0_13 + Board_9_0_13 + Board_10_0_13 + Board_11_0_13 + Board_12_0_13 + Board_13_0_13 + Board_14_0_13 + Columns_0_13 = 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 + Board_13_5_1 + Board_14_5_1 + Columns_5_1 = 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 + Board_11_0_13 + Board_11_0_14 + Cells_11_0 = 1
inv : Board_13_12_0 + Board_13_12_1 + Board_13_12_2 + Board_13_12_3 + Board_13_12_4 + Board_13_12_5 + Board_13_12_6 + Board_13_12_7 + Board_13_12_8 + Board_13_12_9 + Board_13_12_10 + Board_13_12_11 + Board_13_12_12 + Board_13_12_13 + Board_13_12_14 + Cells_13_12 = 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 + Board_2_12_13 + Board_2_12_14 + Cells_2_12 = 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 + Board_12_13_9 + Board_12_14_9 = 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 + Board_8_13_10 + Board_8_14_10 = 1
inv : Board_0_8_1 + Board_1_8_1 + Board_2_8_1 + Board_3_8_1 + Board_4_8_1 + Board_5_8_1 + Board_6_8_1 + Board_7_8_1 + Board_8_8_1 + Board_9_8_1 + Board_10_8_1 + Board_11_8_1 + Board_12_8_1 + Board_13_8_1 + Board_14_8_1 + Columns_8_1 = 1
inv : Rows_14_5 + Board_14_0_5 + Board_14_1_5 + Board_14_2_5 + Board_14_3_5 + Board_14_4_5 + Board_14_5_5 + Board_14_6_5 + Board_14_7_5 + Board_14_8_5 + Board_14_9_5 + Board_14_10_5 + Board_14_11_5 + Board_14_12_5 + Board_14_13_5 + Board_14_14_5 = 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 + Board_3_13_2 + Board_3_14_2 = 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 + Board_7_13_12 + Board_7_14_12 = 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 + Board_13_12_4 + Board_14_12_4 + Columns_12_4 = 1
inv : Board_13_10_0 + Board_13_10_1 + Board_13_10_2 + Board_13_10_3 + Board_13_10_4 + Board_13_10_5 + Board_13_10_6 + Board_13_10_7 + Board_13_10_8 + Board_13_10_9 + Board_13_10_10 + Board_13_10_11 + Board_13_10_12 + Board_13_10_13 + Board_13_10_14 + Cells_13_10 = 1
inv : Board_4_1_0 + Board_4_1_1 + Board_4_1_2 + Board_4_1_3 + Board_4_1_4 + Board_4_1_5 + Board_4_1_6 + Board_4_1_7 + Board_4_1_8 + Board_4_1_9 + Board_4_1_10 + Board_4_1_11 + Board_4_1_12 + Board_4_1_13 + Board_4_1_14 + Cells_4_1 = 1
inv : Rows_3_13 + Board_3_0_13 + Board_3_1_13 + Board_3_2_13 + Board_3_3_13 + Board_3_4_13 + Board_3_5_13 + Board_3_6_13 + Board_3_7_13 + Board_3_8_13 + Board_3_9_13 + Board_3_10_13 + Board_3_11_13 + Board_3_12_13 + Board_3_13_13 + Board_3_14_13 = 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 + Board_9_11_13 + Board_9_11_14 + Cells_9_11 = 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 + Board_9_8_13 + Board_9_8_14 + Cells_9_8 = 1
inv : Rows_2_13 + Board_2_0_13 + Board_2_1_13 + Board_2_2_13 + Board_2_3_13 + Board_2_4_13 + Board_2_5_13 + Board_2_6_13 + Board_2_7_13 + Board_2_8_13 + Board_2_9_13 + Board_2_10_13 + Board_2_11_13 + Board_2_12_13 + Board_2_13_13 + Board_2_14_13 = 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 + Board_4_3_13 + Board_4_3_14 + Cells_4_3 = 1
inv : Rows_13_14 + Board_13_0_14 + Board_13_1_14 + Board_13_2_14 + Board_13_3_14 + Board_13_4_14 + Board_13_5_14 + Board_13_6_14 + Board_13_7_14 + Board_13_8_14 + Board_13_9_14 + Board_13_10_14 + Board_13_11_14 + Board_13_12_14 + Board_13_13_14 + Board_13_14_14 = 1
inv : Rows_14_3 + Board_14_0_3 + Board_14_1_3 + Board_14_2_3 + Board_14_3_3 + Board_14_4_3 + Board_14_5_3 + Board_14_6_3 + Board_14_7_3 + Board_14_8_3 + Board_14_9_3 + Board_14_10_3 + Board_14_11_3 + Board_14_12_3 + Board_14_13_3 + Board_14_14_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 + Board_11_2_13 + Board_11_2_14 + Cells_11_2 = 1
inv : Board_8_2_0 + Board_8_2_1 + Board_8_2_2 + Board_8_2_3 + Board_8_2_4 + Board_8_2_5 + Board_8_2_6 + Board_8_2_7 + Board_8_2_8 + Board_8_2_9 + Board_8_2_10 + Board_8_2_11 + Board_8_2_12 + Board_8_2_13 + Board_8_2_14 + Cells_8_2 = 1
inv : Board_6_14_0 + Board_6_14_1 + Board_6_14_2 + Board_6_14_3 + Board_6_14_4 + Board_6_14_5 + Board_6_14_6 + Board_6_14_7 + Board_6_14_8 + Board_6_14_9 + Board_6_14_10 + Board_6_14_11 + Board_6_14_12 + Board_6_14_13 + Board_6_14_14 + Cells_6_14 = 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 + Board_5_7_13 + Board_5_7_14 + Cells_5_7 = 1
inv : Board_0_10_14 + Board_1_10_14 + Board_2_10_14 + Board_3_10_14 + Board_4_10_14 + Board_5_10_14 + Board_6_10_14 + Board_7_10_14 + Board_8_10_14 + Board_9_10_14 + Board_10_10_14 + Board_11_10_14 + Board_12_10_14 + Board_13_10_14 + Board_14_10_14 + Columns_10_14 = 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 + Board_8_13_1 + Board_8_14_1 = 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 + Board_9_9_13 + Board_9_9_14 + Cells_9_9 = 1
inv : Board_6_13_0 + Board_6_13_1 + Board_6_13_2 + Board_6_13_3 + Board_6_13_4 + Board_6_13_5 + Board_6_13_6 + Board_6_13_7 + Board_6_13_8 + Board_6_13_9 + Board_6_13_10 + Board_6_13_11 + Board_6_13_12 + Board_6_13_13 + Board_6_13_14 + Cells_6_13 = 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 + Board_6_11_13 + Board_6_11_14 + Cells_6_11 = 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 + Board_13_3_4 + Board_14_3_4 + Columns_3_4 = 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 + Board_13_10_9 + Board_14_10_9 + Columns_10_9 = 1
inv : Board_0_14_12 + Board_1_14_12 + Board_2_14_12 + Board_3_14_12 + Board_4_14_12 + Board_5_14_12 + Board_6_14_12 + Board_7_14_12 + Board_8_14_12 + Board_9_14_12 + Board_10_14_12 + Board_11_14_12 + Board_12_14_12 + Board_13_14_12 + Board_14_14_12 + Columns_14_12 = 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 + Board_4_13_9 + Board_4_14_9 = 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 + Board_8_5_13 + Board_8_5_14 + Cells_8_5 = 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 + Board_0_13_8 + Board_0_14_8 = 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 + Board_2_9_13 + Board_2_9_14 + Cells_2_9 = 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 + Board_13_9_6 + Board_14_9_6 + Columns_9_6 = 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 + Board_13_4_9 + Board_14_4_9 + Columns_4_9 = 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 + Board_13_6_6 + Board_14_6_6 + Columns_6_6 = 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 + Board_11_3_13 + Board_11_3_14 + Cells_11_3 = 1
inv : Rows_11_13 + Board_11_0_13 + Board_11_1_13 + Board_11_2_13 + Board_11_3_13 + Board_11_4_13 + Board_11_5_13 + Board_11_6_13 + Board_11_7_13 + Board_11_8_13 + Board_11_9_13 + Board_11_10_13 + Board_11_11_13 + Board_11_12_13 + Board_11_13_13 + Board_11_14_13 = 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 + Board_6_13_12 + Board_6_14_12 = 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 + Board_13_12_11 + Board_14_12_11 + Columns_12_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 + Board_11_13_0 + Board_11_14_0 = 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 + Board_6_13_7 + Board_6_14_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 + Board_13_6_11 + Board_14_6_11 + Columns_6_11 = 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 + Board_5_10_13 + Board_5_10_14 + Cells_5_10 = 1
inv : Board_0_7_14 + Board_1_7_14 + Board_2_7_14 + Board_3_7_14 + Board_4_7_14 + Board_5_7_14 + Board_6_7_14 + Board_7_7_14 + Board_8_7_14 + Board_9_7_14 + Board_10_7_14 + Board_11_7_14 + Board_12_7_14 + Board_13_7_14 + Board_14_7_14 + Columns_7_14 = 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 + Board_13_12_6 + Board_14_12_6 + Columns_12_6 = 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 + Board_13_7_9 + Board_14_7_9 + Columns_7_9 = 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 + Board_10_12_13 + Board_10_12_14 + Cells_10_12 = 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 + Board_10_13_6 + Board_10_14_6 = 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 + Board_0_13_3 + Board_0_14_3 = 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 + Board_7_13_1 + Board_7_14_1 = 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 + Board_12_4_13 + Board_12_4_14 + Cells_12_4 = 1
inv : Board_14_14_0 + Board_14_14_1 + Board_14_14_2 + Board_14_14_3 + Board_14_14_4 + Board_14_14_5 + Board_14_14_6 + Board_14_14_7 + Board_14_14_8 + Board_14_14_9 + Board_14_14_10 + Board_14_14_11 + Board_14_14_12 + Board_14_14_13 + Board_14_14_14 + Cells_14_14 = 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 + Board_3_0_13 + Board_3_0_14 + Cells_3_0 = 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 + Board_10_13_11 + Board_10_14_11 = 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 + Board_1_8_13 + Board_1_8_14 + Cells_1_8 = 1
inv : Board_13_13_0 + Board_13_13_1 + Board_13_13_2 + Board_13_13_3 + Board_13_13_4 + Board_13_13_5 + Board_13_13_6 + Board_13_13_7 + Board_13_13_8 + Board_13_13_9 + Board_13_13_10 + Board_13_13_11 + Board_13_13_12 + Board_13_13_13 + Board_13_13_14 + Cells_13_13 = 1
inv : Board_0_4_14 + Board_1_4_14 + Board_2_4_14 + Board_3_4_14 + Board_4_4_14 + Board_5_4_14 + Board_6_4_14 + Board_7_4_14 + Board_8_4_14 + Board_9_4_14 + Board_10_4_14 + Board_11_4_14 + Board_12_4_14 + Board_13_4_14 + Board_14_4_14 + Columns_4_14 = 1
inv : Board_14_0_0 + Board_14_0_1 + Board_14_0_2 + Board_14_0_3 + Board_14_0_4 + Board_14_0_5 + Board_14_0_6 + Board_14_0_7 + Board_14_0_8 + Board_14_0_9 + Board_14_0_10 + Board_14_0_11 + Board_14_0_12 + Board_14_0_13 + Board_14_0_14 + Cells_14_0 = 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 + Board_9_13_10 + Board_9_14_10 = 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 + Board_4_13_2 + Board_4_14_2 = 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 + Board_13_6_9 + Board_14_6_9 + Columns_6_9 = 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 + Board_0_13_5 + Board_0_14_5 = 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 + Board_4_13_7 + Board_4_14_7 = 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 + Board_10_13_4 + Board_10_14_4 = 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 + Board_13_9_11 + Board_14_9_11 + Columns_9_11 = 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 + Board_10_13_9 + Board_10_14_9 = 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 + Board_6_8_13 + Board_6_8_14 + Cells_6_8 = 1
inv : Rows_4_14 + Board_4_0_14 + Board_4_1_14 + Board_4_2_14 + Board_4_3_14 + Board_4_4_14 + Board_4_5_14 + Board_4_6_14 + Board_4_7_14 + Board_4_8_14 + Board_4_9_14 + Board_4_10_14 + Board_4_11_14 + Board_4_12_14 + Board_4_13_14 + Board_4_14_14 = 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 + Board_1_13_12 + Board_1_14_12 = 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 + Board_9_13_2 + Board_9_14_2 = 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 + Board_11_5_13 + Board_11_5_14 + Cells_11_5 = 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 + Board_13_1_11 + Board_14_1_11 + Columns_1_11 = 1
inv : Board_0_14_14 + Board_1_14_14 + Board_2_14_14 + Board_3_14_14 + Board_4_14_14 + Board_5_14_14 + Board_6_14_14 + Board_7_14_14 + Board_8_14_14 + Board_9_14_14 + Board_10_14_14 + Board_11_14_14 + Board_12_14_14 + Board_13_14_14 + Board_14_14_14 + Columns_14_14 = 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 + Board_5_2_13 + Board_5_2_14 + Cells_5_2 = 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 + Board_2_13_1 + Board_2_14_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 + Board_2_7_13 + Board_2_7_14 + Cells_2_7 = 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 + Board_13_12_9 + Board_14_12_9 + Columns_12_9 = 1
inv : Board_14_11_0 + Board_14_11_1 + Board_14_11_2 + Board_14_11_3 + Board_14_11_4 + Board_14_11_5 + Board_14_11_6 + Board_14_11_7 + Board_14_11_8 + Board_14_11_9 + Board_14_11_10 + Board_14_11_11 + Board_14_11_12 + Board_14_11_13 + Board_14_11_14 + Cells_14_11 = 1
inv : Board_0_8_14 + Board_1_8_14 + Board_2_8_14 + Board_3_8_14 + Board_4_8_14 + Board_5_8_14 + Board_6_8_14 + Board_7_8_14 + Board_8_8_14 + Board_9_8_14 + Board_10_8_14 + Board_11_8_14 + Board_12_8_14 + Board_13_8_14 + Board_14_8_14 + Columns_8_14 = 1
inv : Board_0_11_14 + Board_1_11_14 + Board_2_11_14 + Board_3_11_14 + Board_4_11_14 + Board_5_11_14 + Board_6_11_14 + Board_7_11_14 + Board_8_11_14 + Board_9_11_14 + Board_10_11_14 + Board_11_11_14 + Board_12_11_14 + Board_13_11_14 + Board_14_11_14 + Columns_11_14 = 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 + Board_12_1_13 + Board_12_1_14 + Cells_12_1 = 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 + Board_13_8_6 + Board_14_8_6 + Columns_8_6 = 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 + Board_13_4_11 + Board_14_4_11 + Columns_4_11 = 1
inv : Rows_14_0 + Board_14_0_0 + Board_14_1_0 + Board_14_2_0 + Board_14_3_0 + Board_14_4_0 + Board_14_5_0 + Board_14_6_0 + Board_14_7_0 + Board_14_8_0 + Board_14_9_0 + Board_14_10_0 + Board_14_11_0 + Board_14_12_0 + Board_14_13_0 + Board_14_14_0 = 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 + Board_0_5_13 + Board_0_5_14 + Cells_0_5 = 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 + Board_5_13_11 + Board_5_14_11 = 1
inv : Board_13_7_0 + Board_13_7_1 + Board_13_7_2 + Board_13_7_3 + Board_13_7_4 + Board_13_7_5 + Board_13_7_6 + Board_13_7_7 + Board_13_7_8 + Board_13_7_9 + Board_13_7_10 + Board_13_7_11 + Board_13_7_12 + Board_13_7_13 + Board_13_7_14 + Cells_13_7 = 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 + Board_13_7_11 + Board_14_7_11 + Columns_7_11 = 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 + Board_5_13_3 + Board_5_14_3 = 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 + Board_1_11_13 + Board_1_11_14 + Cells_1_11 = 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 + Board_4_6_13 + Board_4_6_14 + Cells_4_6 = 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 + Board_4_13_4 + Board_4_14_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 + Board_12_13_12 + Board_12_14_12 = 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 + Board_1_13_2 + Board_1_14_2 = 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 + Board_9_3_13 + Board_9_3_14 + Cells_9_3 = 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 + Board_13_7_1 + Board_14_7_1 + Columns_7_1 = 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 + Board_13_11_4 + Board_14_11_4 + Columns_11_4 = 1
inv : Board_3_13_0 + Board_3_13_1 + Board_3_13_2 + Board_3_13_3 + Board_3_13_4 + Board_3_13_5 + Board_3_13_6 + Board_3_13_7 + Board_3_13_8 + Board_3_13_9 + Board_3_13_10 + Board_3_13_11 + Board_3_13_12 + Board_3_13_13 + Board_3_13_14 + Cells_3_13 = 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 + Board_4_9_13 + Board_4_9_14 + Cells_4_9 = 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 + Board_10_13_1 + Board_10_14_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 + Board_13_9_9 + Board_14_9_9 + Columns_9_9 = 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 + Board_11_13_8 + Board_11_14_8 = 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 + Board_6_13_10 + Board_6_14_10 = 1
inv : Rows_0_13 + Board_0_0_13 + Board_0_1_13 + Board_0_2_13 + Board_0_3_13 + Board_0_4_13 + Board_0_5_13 + Board_0_6_13 + Board_0_7_13 + Board_0_8_13 + Board_0_9_13 + Board_0_10_13 + Board_0_11_13 + Board_0_12_13 + Board_0_13_13 + Board_0_14_13 = 1
inv : Board_9_14_0 + Board_9_14_1 + Board_9_14_2 + Board_9_14_3 + Board_9_14_4 + Board_9_14_5 + Board_9_14_6 + Board_9_14_7 + Board_9_14_8 + Board_9_14_9 + Board_9_14_10 + Board_9_14_11 + Board_9_14_12 + Board_9_14_13 + Board_9_14_14 + Cells_9_14 = 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 + Board_13_5_6 + Board_14_5_6 + Columns_5_6 = 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 + Board_13_10_4 + Board_14_10_4 + Columns_10_4 = 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 + Board_7_4_13 + Board_7_4_14 + Cells_7_4 = 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 + Board_6_13_0 + Board_6_14_0 = 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 + Board_9_13_12 + Board_9_14_12 = 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 + Board_6_0_13 + Board_6_0_14 + Cells_6_0 = 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 + Board_9_6_13 + Board_9_6_14 + Cells_9_6 = 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 + Board_8_10_13 + Board_8_10_14 + Cells_8_10 = 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 + Board_7_12_13 + Board_7_12_14 + Cells_7_12 = 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 + Board_13_6_1 + Board_14_6_1 + Columns_6_1 = 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 + Board_12_13_2 + Board_12_14_2 = 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 + Board_7_1_13 + Board_7_1_14 + Cells_7_1 = 1
inv : Board_0_13_9 + Board_1_13_9 + Board_2_13_9 + Board_3_13_9 + Board_4_13_9 + Board_5_13_9 + Board_6_13_9 + Board_7_13_9 + Board_8_13_9 + Board_9_13_9 + Board_10_13_9 + Board_11_13_9 + Board_12_13_9 + Board_13_13_9 + Board_14_13_9 + Columns_13_9 = 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 + Board_10_7_13 + Board_10_7_14 + Cells_10_7 = 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 + Board_11_8_13 + Board_11_8_14 + Cells_11_8 = 1
inv : Rows_7_14 + Board_7_0_14 + Board_7_1_14 + Board_7_2_14 + Board_7_3_14 + Board_7_4_14 + Board_7_5_14 + Board_7_6_14 + Board_7_7_14 + Board_7_8_14 + Board_7_9_14 + Board_7_10_14 + Board_7_11_14 + Board_7_12_14 + Board_7_13_14 + Board_7_14_14 = 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 + Board_13_3_6 + Board_14_3_6 + Columns_3_6 = 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 + Board_12_13_7 + Board_12_14_7 = 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 + Board_0_2_13 + Board_0_2_14 + Cells_0_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 + Board_12_9_13 + Board_12_9_14 + Cells_12_9 = 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 + Board_7_13_9 + Board_7_14_9 = 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 + Board_3_5_13 + Board_3_5_14 + Cells_3_5 = 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 + Board_13_3_11 + Board_14_3_11 + Columns_3_11 = 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 + Board_13_0_1 + Board_14_0_1 + Columns_0_1 = 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 + Board_1_3_13 + Board_1_3_14 + Cells_1_3 = 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 + Board_3_13_5 + Board_3_14_5 = 1
inv : Board_0_4_1 + Board_1_4_1 + Board_2_4_1 + Board_3_4_1 + Board_4_4_1 + Board_5_4_1 + Board_6_4_1 + Board_7_4_1 + Board_8_4_1 + Board_9_4_1 + Board_10_4_1 + Board_11_4_1 + Board_12_4_1 + Board_13_4_1 + Board_14_4_1 + Columns_4_1 = 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 + Board_7_13_4 + Board_7_14_4 = 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 + Board_13_0_11 + Board_14_0_11 + Columns_0_11 = 1
inv : Rows_14_10 + Board_14_0_10 + Board_14_1_10 + Board_14_2_10 + Board_14_3_10 + Board_14_4_10 + Board_14_5_10 + Board_14_6_10 + Board_14_7_10 + Board_14_8_10 + Board_14_9_10 + Board_14_10_10 + Board_14_11_10 + Board_14_12_10 + Board_14_13_10 + Board_14_14_10 = 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 + Board_13_0_6 + Board_14_0_6 + Columns_0_6 = 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 + Board_2_4_13 + Board_2_4_14 + Cells_2_4 = 1
inv : Board_14_3_0 + Board_14_3_1 + Board_14_3_2 + Board_14_3_3 + Board_14_3_4 + Board_14_3_5 + Board_14_3_6 + Board_14_3_7 + Board_14_3_8 + Board_14_3_9 + Board_14_3_10 + Board_14_3_11 + Board_14_3_12 + Board_14_3_13 + Board_14_3_14 + Cells_14_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 + Board_3_13_10 + Board_3_14_10 = 1
inv : Board_0_12_14 + Board_1_12_14 + Board_2_12_14 + Board_3_12_14 + Board_4_12_14 + Board_5_12_14 + Board_6_12_14 + Board_7_12_14 + Board_8_12_14 + Board_9_12_14 + Board_10_12_14 + Board_11_12_14 + Board_12_12_14 + Board_13_12_14 + Board_14_12_14 + Columns_12_14 = 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 + Board_13_2_11 + Board_14_2_11 + Columns_2_11 = 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 + Board_2_13_11 + Board_2_14_11 = 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 + Board_8_13_8 + Board_8_14_8 = 1
inv : Board_0_1_1 + Board_1_1_1 + Board_2_1_1 + Board_3_1_1 + Board_4_1_1 + Board_5_1_1 + Board_6_1_1 + Board_7_1_1 + Board_8_1_1 + Board_9_1_1 + Board_10_1_1 + Board_11_1_1 + Board_12_1_1 + Board_13_1_1 + Board_14_1_1 + Columns_1_1 = 1
inv : Board_0_14_9 + Board_1_14_9 + Board_2_14_9 + Board_3_14_9 + Board_4_14_9 + Board_5_14_9 + Board_6_14_9 + Board_7_14_9 + Board_8_14_9 + Board_9_14_9 + Board_10_14_9 + Board_11_14_9 + Board_12_14_9 + Board_13_14_9 + Board_14_14_9 + Columns_14_9 = 1
inv : Rows_13_1 + Board_13_0_1 + Board_13_1_1 + Board_13_2_1 + Board_13_3_1 + Board_13_4_1 + Board_13_5_1 + Board_13_6_1 + Board_13_7_1 + Board_13_8_1 + Board_13_9_1 + Board_13_10_1 + Board_13_11_1 + Board_13_12_1 + Board_13_13_1 + Board_13_14_1 = 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 + Board_13_1_6 + Board_14_1_6 + Columns_1_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 + Board_3_13_0 + Board_3_14_0 = 1
inv : Rows_8_13 + Board_8_0_13 + Board_8_1_13 + Board_8_2_13 + Board_8_3_13 + Board_8_4_13 + Board_8_5_13 + Board_8_6_13 + Board_8_7_13 + Board_8_8_13 + Board_8_9_13 + Board_8_10_13 + Board_8_11_13 + Board_8_12_13 + Board_8_13_13 + Board_8_14_13 = 1
inv : Board_0_13_4 + Board_1_13_4 + Board_2_13_4 + Board_3_13_4 + Board_4_13_4 + Board_5_13_4 + Board_6_13_4 + Board_7_13_4 + Board_8_13_4 + Board_9_13_4 + Board_10_13_4 + Board_11_13_4 + Board_12_13_4 + Board_13_13_4 + Board_14_13_4 + Columns_13_4 = 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 + Board_8_13_3 + Board_8_14_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 + Board_2_13_6 + Board_2_14_6 = 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 + Board_13_3_1 + Board_14_3_1 + Columns_3_1 = 1
inv : Rows_13_6 + Board_13_0_6 + Board_13_1_6 + Board_13_2_6 + Board_13_3_6 + Board_13_4_6 + Board_13_5_6 + Board_13_6_6 + Board_13_7_6 + Board_13_8_6 + Board_13_9_6 + Board_13_10_6 + Board_13_11_6 + Board_13_12_6 + Board_13_13_6 + Board_13_14_6 = 1
inv : Board_0_14_4 + Board_1_14_4 + Board_2_14_4 + Board_3_14_4 + Board_4_14_4 + Board_5_14_4 + Board_6_14_4 + Board_7_14_4 + Board_8_14_4 + Board_9_14_4 + Board_10_14_4 + Board_11_14_4 + Board_12_14_4 + Board_13_14_4 + Board_14_14_4 + Columns_14_4 = 1
inv : Board_0_13_14 + Board_1_13_14 + Board_2_13_14 + Board_3_13_14 + Board_4_13_14 + Board_5_13_14 + Board_6_13_14 + Board_7_13_14 + Board_8_13_14 + Board_9_13_14 + Board_10_13_14 + Board_11_13_14 + Board_12_13_14 + Board_13_13_14 + Board_14_13_14 + Columns_13_14 = 1
inv : Rows_13_11 + Board_13_0_11 + Board_13_1_11 + Board_13_2_11 + Board_13_3_11 + Board_13_4_11 + Board_13_5_11 + Board_13_6_11 + Board_13_7_11 + Board_13_8_11 + Board_13_9_11 + Board_13_10_11 + Board_13_11_11 + Board_13_12_11 + Board_13_13_11 + Board_13_14_11 = 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 + Board_13_2_6 + Board_14_2_6 + Columns_2_6 = 1
Total of 675 invariants.
[2021-05-17 13:58:11] [INFO ] Computed 675 place invariants in 24 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/graph4203270594037584567.txt, -o, /tmp/graph4203270594037584567.bin, -w, /tmp/graph4203270594037584567.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/graph4203270594037584567.bin, -l, -1, -v, -w, /tmp/graph4203270594037584567.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-17 13:58:22] [INFO ] Decomposing Gal with order
[2021-05-17 13:58:22] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 13:58:23] [INFO ] Proved 4050 variables to be positive in 12316 ms
[2021-05-17 13:58:26] [INFO ] Induction result is SAT, non conclusive we might be starting from unreachable statesSudoku-PT-AN15-ReachabilityCardinality-00
[2021-05-17 13:58:26] [INFO ] KInduction solution for property Sudoku-PT-AN15-ReachabilityCardinality-00(SAT) depth K=0 took 2659 ms
[2021-05-17 13:58:38] [INFO ] Removed a total of 3150 redundant transitions.
[2021-05-17 13:58:38] [INFO ] Flatten gal took : 15635 ms
[2021-05-17 13:58:39] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 40 ms.
[2021-05-17 13:58:39] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality14294171420089647007.gal : 33 ms
[2021-05-17 13:58:39] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality6070915177865190462.prop : 1 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/ReachabilityCardinality14294171420089647007.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality6070915177865190462.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/ReachabilityCardinality14294171420089647007.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality6070915177865190462.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality6070915177865190462.prop.
Compilation finished in 53896 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/tmp/ltsmin8807347685665356962]
Link finished in 71 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, SudokuPTAN15ReachabilityCardinality00==true], workingDir=/tmp/ltsmin8807347685665356962]
SDD proceeding with computation,4 properties remain. new max is 4
SDD size :1 after 501
WARNING : LTSmin timed out (>900 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, SudokuPTAN15ReachabilityCardinality00==true], workingDir=/tmp/ltsmin8807347685665356962]
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, SudokuPTAN15ReachabilityCardinality05==true], workingDir=/tmp/ltsmin8807347685665356962]
ITS-tools command line returned an error code 137
[2021-05-17 14:23:28] [INFO ] Applying decomposition
[2021-05-17 14:23:28] [INFO ] Flatten gal took : 451 ms
[2021-05-17 14:23:28] [INFO ] Decomposing Gal with order
[2021-05-17 14:23:29] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-17 14:23:58] [INFO ] Removed a total of 9450 redundant transitions.
[2021-05-17 14:23:59] [INFO ] Flatten gal took : 28747 ms
[2021-05-17 14:23:59] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 61 ms.
[2021-05-17 14:24:07] [INFO ] Time to serialize gal into /tmp/ReachabilityCardinality15691365537887592822.gal : 43 ms
[2021-05-17 14:24:07] [INFO ] Time to serialize properties into /tmp/ReachabilityCardinality11502085414818073161.prop : 6 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/ReachabilityCardinality15691365537887592822.gal, -t, CGAL, -reachable-file, /tmp/ReachabilityCardinality11502085414818073161.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/ReachabilityCardinality15691365537887592822.gal -t CGAL -reachable-file /tmp/ReachabilityCardinality11502085414818073161.prop --nowitness --gen-order FOLLOW
Loading property file /tmp/ReachabilityCardinality11502085414818073161.prop.
SDD proceeding with computation,4 properties remain. new max is 4
SDD size :1 after 501
WARNING : LTSmin timed out (>900 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, SudokuPTAN15ReachabilityCardinality05==true], workingDir=/tmp/ltsmin8807347685665356962]
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, SudokuPTAN15ReachabilityCardinality06==true], workingDir=/tmp/ltsmin8807347685665356962]
SDD proceeding with computation,4 properties remain. new max is 8
SDD size :501 after 17378
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-AN15"
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-AN15, 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-162106746300670"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-PT-AN15.tgz
mv Sudoku-PT-AN15 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 ;