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-162106746000410.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-COL-AN03, examination is CTLFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r254-tall-162106746000410
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 300K
-rw-r--r-- 1 mcc users 9.6K May 15 08:50 CTLCardinality.txt
-rw-r--r-- 1 mcc users 94K May 15 08:50 CTLCardinality.xml
-rw-r--r-- 1 mcc users 5.7K May 15 08:50 CTLFireability.txt
-rw-r--r-- 1 mcc users 52K 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 3.2K Mar 28 16:44 LTLCardinality.txt
-rw-r--r-- 1 mcc users 23K Mar 28 16:44 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.0K Mar 28 16:44 LTLFireability.txt
-rw-r--r-- 1 mcc users 16K Mar 28 16:44 LTLFireability.xml
-rw-r--r-- 1 mcc users 3.3K May 13 19:29 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 15K May 13 19:29 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 2.6K May 13 19:29 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 14K 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 3.7K Mar 22 08:16 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 May 5 16:52 equiv_pt
-rw-r--r-- 1 mcc users 5 May 5 16:52 instance
-rw-r--r-- 1 mcc users 5 May 5 16:52 iscolored
-rw-r--r-- 1 mcc users 6.5K 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-COL-AN03-CTLFireability-00
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-01
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-02
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-03
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-04
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-05
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-06
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-07
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-08
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-09
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-10
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-11
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-12
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-13
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-14
FORMULA_NAME Sudoku-COL-AN03-CTLFireability-15

=== Now, execution of the tool begins

BK_START 1621194122105

Running Version 0
[2021-05-16 19:42:03] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, CTLFireability, -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]
[2021-05-16 19:42:04] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-16 19:42:04] [INFO ] Detected file is not PT type :http://www.pnml.org/version-2009/grammar/symmetricnet
log4j:WARN No appenders could be found for logger (org.apache.axiom.locator.DefaultOMMetaFactoryLocator).
log4j:WARN Please initialize the log4j system properly.
[2021-05-16 19:42:04] [WARNING] Using fallBack plugin, rng conformance not checked
[2021-05-16 19:42:04] [INFO ] Load time of PNML (colored model parsed with PNMLFW) : 478 ms
[2021-05-16 19:42:04] [WARNING] Unknown color function,Tuple skipping symmetry detection on parameters for transition select
[2021-05-16 19:42:04] [INFO ] Imported 4 HL places and 1 HL transitions for a total of 54 PT places and 27.0 transition bindings in 14 ms.
Parsed 16 properties from file /home/mcc/execution/CTLFireability.xml in 25 ms.
[2021-05-16 19:42:04] [INFO ] Built PT skeleton of HLPN with 4 places and 1 transitions in 3 ms.
[2021-05-16 19:42:04] [INFO ] Skeletonized HLPN properties in 0 ms.
Successfully produced net in file /tmp/petri1000_1442813373106434319.dot
Finished random walk after 0 steps, including 0 resets, run visited all 0 properties in 1 ms. (steps per millisecond=0 )
[2021-05-16 19:42:04] [INFO ] Flatten gal took : 13 ms
[2021-05-16 19:42:04] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:42:04] [INFO ] Unfolded HLPN to a Petri net with 54 places and 27 transitions in 4 ms.
[2021-05-16 19:42:04] [INFO ] Unfolded HLPN properties in 1 ms.
Successfully produced net in file /tmp/petri1001_14668351391267287720.dot
Support contains 27 out of 54 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 54/54 places, 27/27 transitions.
Reduce places removed 27 places and 0 transitions.
Iterating post reduction 0 with 27 rules applied. Total rules applied 27 place count 27 transition count 27
Applied a total of 27 rules in 7 ms. Remains 27 /54 variables (removed 27) and now considering 27/27 (removed 0) transitions.
// Phase 1: matrix 27 rows 27 cols
[2021-05-16 19:42:04] [INFO ] Computed 8 place invariants in 9 ms
[2021-05-16 19:42:04] [INFO ] Implicit Places using invariants in 86 ms returned []
// Phase 1: matrix 27 rows 27 cols
[2021-05-16 19:42:04] [INFO ] Computed 8 place invariants in 2 ms
[2021-05-16 19:42:04] [INFO ] Implicit Places using invariants and state equation in 34 ms returned []
Implicit Place search using SMT with State Equation took 144 ms to find 0 implicit places.
// Phase 1: matrix 27 rows 27 cols
[2021-05-16 19:42:04] [INFO ] Computed 8 place invariants in 2 ms
[2021-05-16 19:42:04] [INFO ] Dead Transitions using invariants and state equation in 35 ms returned []
Finished structural reductions, in 1 iterations. Remains : 27/54 places, 27/27 transitions.
[2021-05-16 19:42:05] [INFO ] Flatten gal took : 39 ms
[2021-05-16 19:42:05] [INFO ] Flatten gal took : 41 ms
[2021-05-16 19:42:05] [INFO ] Input system was already deterministic with 27 transitions.
Incomplete random walk after 100000 steps, including 11739 resets, run finished after 545 ms. (steps per millisecond=183 ) properties (out of 11) seen :9
Running SMT prover for 2 properties.
// Phase 1: matrix 27 rows 27 cols
[2021-05-16 19:42:06] [INFO ] Computed 8 place invariants in 4 ms
Successfully simplified 2 atomic propositions for a total of 16 simplifications.
Applied a total of 0 rules in 4 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:06] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:06] [INFO ] Flatten gal took : 5 ms
[2021-05-16 19:42:06] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:06] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:06] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:06] [INFO ] Time to serialize gal into /tmp/CTLFireability14834078187913979098.gal : 1 ms
[2021-05-16 19:42:06] [INFO ] Time to serialize properties into /tmp/CTLFireability16882927300772223356.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability14834078187913979098.gal, -t, CGAL, -ctl, /tmp/CTLFireability16882927300772223356.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability14834078187913979098.gal -t CGAL -ctl /tmp/CTLFireability16882927300772223356.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.072651,6940,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: EG(E(E(AF((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))) U E((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))) U AG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) U AG((A((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))) U (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))) * (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))
=> equivalent forward existential formula: [FwdG(Init,E(E(!(EG(!((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) U E((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))) U !(E(TRUE U !((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))) U !(E(TRUE U !((!((E(!((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))) U (!((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))) * !((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))))) * (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/27/27
dead was empty
(forward)formula 0,0,1.64755,59116,1,0,113,339756,84,44,903,292159,87
FORMULA Sudoku-COL-AN03-CTLFireability-01 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

***************************************

Applied a total of 0 rules in 1 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:08] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:08] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:08] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:08] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:08] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:08] [INFO ] Time to serialize gal into /tmp/CTLFireability11794737776823980434.gal : 1 ms
[2021-05-16 19:42:08] [INFO ] Time to serialize properties into /tmp/CTLFireability14296801853167824887.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability11794737776823980434.gal, -t, CGAL, -ctl, /tmp/CTLFireability14296801853167824887.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability11794737776823980434.gal -t CGAL -ctl /tmp/CTLFireability14296801853167824887.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.073766,7080,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: AG(!(EG(AG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))
=> equivalent forward existential formula: [FwdG(FwdU(Init,TRUE),!(E(TRUE U !((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))] = FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/27/27
dead was empty
(forward)formula 0,1,1.67447,55872,1,0,113,331648,70,42,839,276996,82
FORMULA Sudoku-COL-AN03-CTLFireability-03 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is TRUE !

***************************************

Applied a total of 0 rules in 1 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:09] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:09] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:09] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:09] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:09] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:09] [INFO ] Time to serialize gal into /tmp/CTLFireability13425004407991297611.gal : 1 ms
[2021-05-16 19:42:09] [INFO ] Time to serialize properties into /tmp/CTLFireability17146032699463182040.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability13425004407991297611.gal, -t, CGAL, -ctl, /tmp/CTLFireability17146032699463182040.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability13425004407991297611.gal -t CGAL -ctl /tmp/CTLFireability17146032699463182040.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.074058,6964,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: EG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))
=> equivalent forward existential formula: [FwdG(Init,(((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))] != FALSE
dead was empty
(forward)formula 0,0,0.597099,24668,1,0,17,114020,12,2,649,91265,14
FORMULA Sudoku-COL-AN03-CTLFireability-06 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

***************************************

Applied a total of 0 rules in 1 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:10] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:10] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:10] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:10] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:10] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:10] [INFO ] Time to serialize gal into /tmp/CTLFireability12663626046680541063.gal : 0 ms
[2021-05-16 19:42:10] [INFO ] Time to serialize properties into /tmp/CTLFireability8764286642028249862.ctl : 0 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability12663626046680541063.gal, -t, CGAL, -ctl, /tmp/CTLFireability8764286642028249862.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability12663626046680541063.gal -t CGAL -ctl /tmp/CTLFireability8764286642028249862.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.078658,6976,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: EF(AG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))
=> equivalent forward existential formula: [(FwdU(Init,TRUE) * !(E(TRUE U !((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/27/27
(forward)formula 0,0,1.51284,50484,1,0,104,309736,68,41,821,244287,71
FORMULA Sudoku-COL-AN03-CTLFireability-10 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

***************************************

Applied a total of 0 rules in 1 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:12] [INFO ] Flatten gal took : 3 ms
[2021-05-16 19:42:12] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:12] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:12] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:12] [INFO ] Flatten gal took : 4 ms
[2021-05-16 19:42:12] [INFO ] Time to serialize gal into /tmp/CTLFireability112841651654513868.gal : 0 ms
[2021-05-16 19:42:12] [INFO ] Time to serialize properties into /tmp/CTLFireability10114982826538252869.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability112841651654513868.gal, -t, CGAL, -ctl, /tmp/CTLFireability10114982826538252869.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability112841651654513868.gal -t CGAL -ctl /tmp/CTLFireability10114982826538252869.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.069938,6920,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: EG(((!(EG(EF((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) * AF(AG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) + (EF((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((Rows_8<1)||(Cells_7<1))||(Columns_5<1))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))&&(((Rows_8<1)||(Cells_7<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))&&(((Rows_8<1)||(Cells_7<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))) * (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))))
=> equivalent forward existential formula: [FwdG(Init,((!(EG(E(TRUE U (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))) * !(EG(!(!(E(TRUE U !((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1)))))))))) + (E(TRUE U (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((Rows_8<1)||(Cells_7<1))||(Columns_5<1))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))&&(((Rows_8<1)||(Cells_7<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))&&(((Rows_8<1)||(Cells_7<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_0<1))||(Columns_0<1)))&&(((Rows_2<1)||(Cells_0<1))||(Columns_2<1)))&&(((Rows_4<1)||(Cells_3<1))||(Columns_1<1)))&&(((Rows_6<1)||(Cells_8<1))||(Columns_6<1)))&&(((Rows_1<1)||(Cells_2<1))||(Columns_7<1)))&&(((Rows_4<1)||(Cells_5<1))||(Columns_7<1)))&&(((Rows_6<1)||(Cells_6<1))||(Columns_0<1)))&&(((Rows_1<1)||(Cells_1<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_5<1))||(Columns_6<1)))&&(((Rows_5<1)||(Cells_4<1))||(Columns_5<1)))&&(((Rows_8<1)||(Cells_8<1))||(Columns_8<1)))&&(((Rows_5<1)||(Cells_3<1))||(Columns_2<1)))&&(((Rows_7<1)||(Cells_7<1))||(Columns_4<1)))&&(((Rows_3<1)||(Cells_4<1))||(Columns_3<1)))&&(((Rows_2<1)||(Cells_2<1))||(Columns_8<1)))&&(((Rows_7<1)||(Cells_8<1))||(Columns_7<1)))&&(((Rows_1<1)||(Cells_0<1))||(Columns_1<1)))&&(((Rows_7<1)||(Cells_6<1))||(Columns_1<1)))&&(((Rows_2<1)||(Cells_1<1))||(Columns_5<1)))&&(((Rows_0<1)||(Cells_1<1))||(Columns_3<1)))&&(((Rows_0<1)||(Cells_2<1))||(Columns_6<1)))&&(((Rows_3<1)||(Cells_3<1))||(Columns_0<1)))&&(((Rows_8<1)||(Cells_6<1))||(Columns_2<1)))&&(((Rows_6<1)||(Cells_7<1))||(Columns_3<1)))&&(((Rows_5<1)||(Cells_5<1))||(Columns_8<1)))&&(((Rows_4<1)||(Cells_4<1))||(Columns_4<1)))) * (((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/27/27
dead was empty
(forward)formula 0,0,1.5837,59520,1,0,113,337584,70,45,883,289830,83
FORMULA Sudoku-COL-AN03-CTLFireability-11 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

***************************************

Applied a total of 0 rules in 1 ms. Remains 27 /27 variables (removed 0) and now considering 27/27 (removed 0) transitions.
[2021-05-16 19:42:13] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:13] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:13] [INFO ] Input system was already deterministic with 27 transitions.
[2021-05-16 19:42:13] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:13] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:42:13] [INFO ] Time to serialize gal into /tmp/CTLFireability11293959581088187818.gal : 4 ms
[2021-05-16 19:42:13] [INFO ] Time to serialize properties into /tmp/CTLFireability4279652580782524115.ctl : 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability11293959581088187818.gal, -t, CGAL, -ctl, /tmp/CTLFireability4279652580782524115.ctl, --gen-order, FOLLOW], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability11293959581088187818.gal -t CGAL -ctl /tmp/CTLFireability4279652580782524115.ctl --gen-order FOLLOW
No direction supplied, using forward translation only.
Parsed 1 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.073711,7048,2,3419,5,13148,6,0,111,13916,0


Converting to forward existential form...Done !
original formula: EG((((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))
=> equivalent forward existential formula: [FwdG(Init,(((((((((((((((((((((((((((((Rows_8>=1)&&(Cells_7>=1))&&(Columns_5>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_0>=1))&&(Columns_2>=1)))||(((Rows_4>=1)&&(Cells_3>=1))&&(Columns_1>=1)))||(((Rows_6>=1)&&(Cells_8>=1))&&(Columns_6>=1)))||(((Rows_1>=1)&&(Cells_2>=1))&&(Columns_7>=1)))||(((Rows_4>=1)&&(Cells_5>=1))&&(Columns_7>=1)))||(((Rows_6>=1)&&(Cells_6>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_5>=1))&&(Columns_6>=1)))||(((Rows_5>=1)&&(Cells_4>=1))&&(Columns_5>=1)))||(((Rows_8>=1)&&(Cells_8>=1))&&(Columns_8>=1)))||(((Rows_5>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_7>=1)&&(Cells_7>=1))&&(Columns_4>=1)))||(((Rows_3>=1)&&(Cells_4>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_8>=1)))||(((Rows_7>=1)&&(Cells_8>=1))&&(Columns_7>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_7>=1)&&(Cells_6>=1))&&(Columns_1>=1)))||(((Rows_2>=1)&&(Cells_1>=1))&&(Columns_5>=1)))||(((Rows_0>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_0>=1)&&(Cells_2>=1))&&(Columns_6>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_0>=1)))||(((Rows_8>=1)&&(Cells_6>=1))&&(Columns_2>=1)))||(((Rows_6>=1)&&(Cells_7>=1))&&(Columns_3>=1)))||(((Rows_5>=1)&&(Cells_5>=1))&&(Columns_8>=1)))||(((Rows_4>=1)&&(Cells_4>=1))&&(Columns_4>=1))))] != FALSE
dead was empty
(forward)formula 0,0,0.599211,24764,1,0,17,114020,12,2,649,91265,14
FORMULA Sudoku-COL-AN03-CTLFireability-13 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

***************************************

[2021-05-16 19:42:14] [INFO ] Flatten gal took : 23 ms
[2021-05-16 19:42:14] [INFO ] Flatten gal took : 17 ms
[2021-05-16 19:42:14] [INFO ] Applying decomposition
[2021-05-16 19:42:14] [INFO ] Flatten gal took : 18 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/graph12968555151692481247.txt, -o, /tmp/graph12968555151692481247.bin, -w, /tmp/graph12968555151692481247.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/graph12968555151692481247.bin, -l, -1, -v, -w, /tmp/graph12968555151692481247.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-16 19:42:14] [INFO ] Decomposing Gal with order
[2021-05-16 19:42:14] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-16 19:42:14] [INFO ] Removed a total of 54 redundant transitions.
[2021-05-16 19:42:14] [INFO ] Flatten gal took : 52 ms
[2021-05-16 19:42:14] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 1 ms.
[2021-05-16 19:42:14] [INFO ] Time to serialize gal into /tmp/CTLFireability5881481696474718842.gal : 1 ms
[2021-05-16 19:42:15] [INFO ] Time to serialize properties into /tmp/CTLFireability7241660052937361514.ctl : 30 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-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability5881481696474718842.gal, -t, CGAL, -ctl, /tmp/CTLFireability7241660052937361514.ctl], workingDir=/home/mcc/execution]

its-ctl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64 --gc-threshold 2000000 --quiet -i /tmp/CTLFireability5881481696474718842.gal -t CGAL -ctl /tmp/CTLFireability7241660052937361514.ctl
No direction supplied, using forward translation only.
Parsed 10 CTL formulae.
Model ,|S| ,Time ,Mem(kb) ,fin. SDD ,fin. DDD ,peak SDD ,peak DDD ,SDD Hom ,SDD cache peak ,DDD Hom ,DDD cachepeak ,SHom cache
reachable,10712,0.077546,8904,4053,3,8592,84,60,9077,4,57,0


Converting to forward existential form...Done !
original formula: EG((E(EX((((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) * AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) U !(AX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EF(AX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))
=> equivalent forward existential formula: [FwdG(Init,(E(EX((((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) * !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) U !(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) + E(TRUE U !(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t20, t21, t22, t23, t24, t25, t26, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/27/27
(forward)formula 0,1,1.92283,99312,1,0,231382,84,823,306966,15,57,541199
FORMULA Sudoku-COL-AN03-CTLFireability-00 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: AG((!(AG(A((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))) U AX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) * (AF(E(AX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))
=> equivalent forward existential formula: ([(FwdU(Init,TRUE) * !(E(TRUE U !(!((E(!(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) U (!((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1)))) * !(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))) + EG(!(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))))))] = FALSE * [FwdG((FwdU(Init,TRUE) * !(EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))),!(E(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) U EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))] = FALSE)
(forward)formula 1,0,2.01568,102744,1,0,238502,84,829,321247,15,57,563150
FORMULA Sudoku-COL-AN03-CTLFireability-02 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

***************************************

original formula: A(EX(A((EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) U (((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))))
=> equivalent forward existential formula: [((Init * !(EG(!((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))))))) * !(E(!((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1)))) U (!(EX(!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))) * !((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))))))))] != FALSE
(forward)formula 2,0,2.6103,127560,1,0,294474,84,1002,396629,16,57,740448
FORMULA Sudoku-COL-AN03-CTLFireability-04 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

***************************************

original formula: AX(EX((EF(AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + AG((((((((((((((((((((((((((((EF((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) + (((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1))) + (((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1))) + (((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1))) + (((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1))) + (((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1))) + (((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1))) + (((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1))) + (((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1))) + (((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1))) + (((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1))) + (((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1))) + (((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1))) + (((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1))) + (((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1))) + (((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1))) + (((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1))) + (((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1))) + (((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1))) + (((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1))) + (((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))
=> equivalent forward existential formula: [(EY(Init) * !(EX((E(TRUE U !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) + !(E(TRUE U !((((((((((((((((((((((((((((E(TRUE U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) + (((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1))) + (((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1))) + (((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1))) + (((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1))) + (((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1))) + (((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1))) + (((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1))) + (((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1))) + (((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1))) + (((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1))) + (((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1))) + (((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1))) + (((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1))) + (((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1))) + (((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1))) + (((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1))) + (((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1))) + (((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1))) + (((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1))) + (((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))] = FALSE
(forward)formula 3,0,2.8179,132048,1,0,300640,84,1002,418108,16,57,768938
FORMULA Sudoku-COL-AN03-CTLFireability-05 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

***************************************

original formula: !(AG(AX((((((((((((((((((((((((((((EF((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) + (((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1))) + (((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1))) + (((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1))) + (((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1))) + (((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1))) + (((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1))) + (((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1))) + (((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1))) + (((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1))) + (((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1))) + (((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1))) + (((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1))) + (((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1))) + (((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1))) + (((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1))) + (((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1))) + (((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1))) + (((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1))) + (((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1))) + (((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))
=> equivalent forward existential formula: [((((((((((((((((((((((((((((EY(FwdU(Init,TRUE)) * !((((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))) * !((((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))) * !((((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))) * !((((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))) * !((((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))) * !((((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))) * !((((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))) * !((((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))) * !((((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))) * !((((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))) * !((((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))) * !((((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))) * !((((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))) * !((((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))) * !((((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))) * !((((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))) * !((((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))) * !((((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))) * !((((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))) * !((((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))) * !((((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))) * !((((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))) * !((((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))) * !((((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))) * !((((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))) * !((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))) * !(E(TRUE U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))] != FALSE
(forward)formula 4,1,3.05276,139704,1,0,323408,84,1029,467076,16,57,768938
FORMULA Sudoku-COL-AN03-CTLFireability-07 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: (!(A((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U AX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + (!(AX((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))))) * !(AX((E((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))) U EF((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * AX(AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))
=> equivalent forward existential formula: (([(EY((FwdU(Init,!(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))] != FALSE + [FwdG(Init,!(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))] != FALSE) + ([(EY((Init * !(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))))))))) * !(E((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))) U E(TRUE U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))] != FALSE + [(FwdU(EY(EY((Init * !(!(EX(!((((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1)))))))))),TRUE) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))] != FALSE))
dead was empty
(forward)formula 5,1,3.13866,141024,1,0,324550,84,1036,469014,16,57,777001
FORMULA Sudoku-COL-AN03-CTLFireability-08 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: (((!(E((((((((((((((((((((((((((((((((EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + (((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1))) + (((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1))) + (((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1))) + (((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1))) + (((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1))) + (((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1))) + (((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1))) + (((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1))) + (((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1))) + (((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1))) + (((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1))) + (((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1))) + (((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1))) + (((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1))) + (((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1))) + (((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1))) + (((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1))) + (((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1))) + (((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1))) + (((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) * AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * ((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U AX((AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) + 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((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))&&((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) + EF((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) + !(E((!(EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))
=> equivalent forward existential formula: [(FwdU((Init * !(((!(E((((((((((((((((((((((((((((((((EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + (((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1))) + (((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1))) + (((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1))) + (((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1))) + (((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1))) + (((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1))) + (((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1))) + (((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1))) + (((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1))) + (((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1))) + (((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1))) + (((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1))) + (((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1))) + (((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1))) + (((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1))) + (((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1))) + (((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1))) + (((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1))) + (((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1))) + (((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1))) + (((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1))) + (((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) * !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * ((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U !(EX(!((!(E(TRUE U 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* (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))] = FALSE
(forward)formula 6,1,3.31628,142080,1,0,324706,84,1046,470223,16,57,782926
FORMULA Sudoku-COL-AN03-CTLFireability-09 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: A(AX((EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * A((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) U EF(!(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (A((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) + AG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))
=> equivalent forward existential formula: [((Init * !(EG(!(E(TRUE U !(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) + !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))))))) * !(E(!(E(TRUE U !(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) + !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))) U (!(!(EX(!((EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))))) * !(E(TRUE U !(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) + !(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))))))))] != FALSE
(forward)formula 7,1,3.6962,145776,1,0,327739,84,1048,473733,16,57,810846
FORMULA Sudoku-COL-AN03-CTLFireability-12 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: ((E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U EF(((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + AX((!(EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))) * !(E(((((((((((((((((((((((((((((!(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * (((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))) * (((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1))) * (((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1))) * (((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1))) * (((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1))) * (((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1))) * (((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1))) * (((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1))) * (((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1))) * (((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1))) * (((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1))) * (((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1))) * (((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1))) * (((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1))) * (((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1))) * (((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1))) * (((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1))) * (((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1))) * (((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1))) * (((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1))) * (((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1))) * (((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1))) * (((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1))) * (((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1))) * (((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1))) * (((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1))) * (((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))) + !(EX(((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) U EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))
=> equivalent forward existential formula: (([FwdG(EY((Init * !(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U E(TRUE U ((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))),(((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))] = FALSE * [(EY((Init * !(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U E(TRUE U ((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) * !(EG((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))] = FALSE) * [FwdG(FwdU(Init,((((((((((((((((((((((((((((!(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * (((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))) * (((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1))) * (((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1))) * (((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1))) * (((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1))) * (((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1))) * (((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1))) * (((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1))) * (((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1))) * (((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1))) * (((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1))) * (((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1))) * (((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1))) * (((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1))) * (((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1))) * (((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1))) * (((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1))) * (((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1))) * (((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1))) * (((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1))) * (((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1))) * (((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1))) * (((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1))) * (((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1))) * (((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1))) * (((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1))) * (((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1))) + !(EX(((((((((((((((((((((((((((((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))||(((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))),(((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))] = FALSE)
dead was empty
dead was empty
(forward)formula 8,1,4.17996,152004,1,0,333025,84,1052,491235,16,57,873332
FORMULA Sudoku-COL-AN03-CTLFireability-14 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

***************************************

original formula: A((((((!(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + 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* 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U !(EF(AX(!(A((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))
=> equivalent forward existential formula: [((Init * !(EG(!(!(E(TRUE U !(EX(!(!(!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))))))))) * !(E(!(!(E(TRUE U !(EX(!(!(!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * 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+ EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))))))) U (!((((((!(E((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))) U (((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) + !(!(E(TRUE U 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+ 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+ !(!(EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))) + (((((((((((((((((((((((((((((u8.Rows_8<1)||(u16.Cells_7<1))||(u23.Columns_5<1))&&(((u0.Rows_0<1)||(u9.Cells_0<1))||(u18.Columns_0<1)))&&(((u2.Rows_2<1)||(u9.Cells_0<1))||(u20.Columns_2<1)))&&(((u4.Rows_4<1)||(u12.Cells_3<1))||(u19.Columns_1<1)))&&(((u6.Rows_6<1)||(u17.Cells_8<1))||(u24.Columns_6<1)))&&(((u1.Rows_1<1)||(u11.Cells_2<1))||(u25.Columns_7<1)))&&(((u4.Rows_4<1)||(u14.Cells_5<1))||(u25.Columns_7<1)))&&(((u6.Rows_6<1)||(u15.Cells_6<1))||(u18.Columns_0<1)))&&(((u1.Rows_1<1)||(u10.Cells_1<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u14.Cells_5<1))||(u24.Columns_6<1)))&&(((u5.Rows_5<1)||(u13.Cells_4<1))||(u23.Columns_5<1)))&&(((u8.Rows_8<1)||(u17.Cells_8<1))||(u26.Columns_8<1)))&&(((u5.Rows_5<1)||(u12.Cells_3<1))||(u20.Columns_2<1)))&&(((u7.Rows_7<1)||(u16.Cells_7<1))||(u22.Columns_4<1)))&&(((u3.Rows_3<1)||(u13.Cells_4<1))||(u21.Columns_3<1)))&&(((u2.Rows_2<1)||(u11.Cells_2<1))||(u26.Columns_8<1)))&&(((u7.Rows_7<1)||(u17.Cells_8<1))||(u25.Columns_7<1)))&&(((u1.Rows_1<1)||(u9.Cells_0<1))||(u19.Columns_1<1)))&&(((u7.Rows_7<1)||(u15.Cells_6<1))||(u19.Columns_1<1)))&&(((u2.Rows_2<1)||(u10.Cells_1<1))||(u23.Columns_5<1)))&&(((u0.Rows_0<1)||(u10.Cells_1<1))||(u21.Columns_3<1)))&&(((u0.Rows_0<1)||(u11.Cells_2<1))||(u24.Columns_6<1)))&&(((u3.Rows_3<1)||(u12.Cells_3<1))||(u18.Columns_0<1)))&&(((u8.Rows_8<1)||(u15.Cells_6<1))||(u20.Columns_2<1)))&&(((u6.Rows_6<1)||(u16.Cells_7<1))||(u21.Columns_3<1)))&&(((u5.Rows_5<1)||(u14.Cells_5<1))||(u26.Columns_8<1)))&&(((u4.Rows_4<1)||(u13.Cells_4<1))||(u22.Columns_4<1)))) + (!(EX((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))) * !(!(E(TRUE U !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))))))) * !(!(E(TRUE U !(EX(!(!(!((E(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) U (!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))) * !((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1)))))) + EG(!((((((((((((((((((((((((((((((u8.Rows_8>=1)&&(u16.Cells_7>=1))&&(u23.Columns_5>=1))||(((u0.Rows_0>=1)&&(u9.Cells_0>=1))&&(u18.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u9.Cells_0>=1))&&(u20.Columns_2>=1)))||(((u4.Rows_4>=1)&&(u12.Cells_3>=1))&&(u19.Columns_1>=1)))||(((u6.Rows_6>=1)&&(u17.Cells_8>=1))&&(u24.Columns_6>=1)))||(((u1.Rows_1>=1)&&(u11.Cells_2>=1))&&(u25.Columns_7>=1)))||(((u4.Rows_4>=1)&&(u14.Cells_5>=1))&&(u25.Columns_7>=1)))||(((u6.Rows_6>=1)&&(u15.Cells_6>=1))&&(u18.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u10.Cells_1>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u14.Cells_5>=1))&&(u24.Columns_6>=1)))||(((u5.Rows_5>=1)&&(u13.Cells_4>=1))&&(u23.Columns_5>=1)))||(((u8.Rows_8>=1)&&(u17.Cells_8>=1))&&(u26.Columns_8>=1)))||(((u5.Rows_5>=1)&&(u12.Cells_3>=1))&&(u20.Columns_2>=1)))||(((u7.Rows_7>=1)&&(u16.Cells_7>=1))&&(u22.Columns_4>=1)))||(((u3.Rows_3>=1)&&(u13.Cells_4>=1))&&(u21.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u11.Cells_2>=1))&&(u26.Columns_8>=1)))||(((u7.Rows_7>=1)&&(u17.Cells_8>=1))&&(u25.Columns_7>=1)))||(((u1.Rows_1>=1)&&(u9.Cells_0>=1))&&(u19.Columns_1>=1)))||(((u7.Rows_7>=1)&&(u15.Cells_6>=1))&&(u19.Columns_1>=1)))||(((u2.Rows_2>=1)&&(u10.Cells_1>=1))&&(u23.Columns_5>=1)))||(((u0.Rows_0>=1)&&(u10.Cells_1>=1))&&(u21.Columns_3>=1)))||(((u0.Rows_0>=1)&&(u11.Cells_2>=1))&&(u24.Columns_6>=1)))||(((u3.Rows_3>=1)&&(u12.Cells_3>=1))&&(u18.Columns_0>=1)))||(((u8.Rows_8>=1)&&(u15.Cells_6>=1))&&(u20.Columns_2>=1)))||(((u6.Rows_6>=1)&&(u16.Cells_7>=1))&&(u21.Columns_3>=1)))||(((u5.Rows_5>=1)&&(u14.Cells_5>=1))&&(u26.Columns_8>=1)))||(((u4.Rows_4>=1)&&(u13.Cells_4>=1))&&(u22.Columns_4>=1))))))))))))))))))] != FALSE
(forward)formula 9,0,4.57893,155700,1,0,350843,84,1055,515265,16,57,896425
FORMULA Sudoku-COL-AN03-CTLFireability-15 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

***************************************


BK_STOP 1621194140919

--------------------
content from stderr:

+ export BINDIR=/home/mcc/BenchKit/bin//../
+ BINDIR=/home/mcc/BenchKit/bin//../
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ CTLFireability = StateSpace ]]
+ /home/mcc/BenchKit/bin//..//runeclipse.sh /home/mcc/execution CTLFireability -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 CTLFireability -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-COL-AN03"
export BK_EXAMINATION="CTLFireability"
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-COL-AN03, examination is CTLFireability"
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-162106746000410"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-COL-AN03.tgz
mv Sudoku-COL-AN03 execution
cd execution
if [ "CTLFireability" = "ReachabilityDeadlock" ] || [ "CTLFireability" = "UpperBounds" ] || [ "CTLFireability" = "QuasiLiveness" ] || [ "CTLFireability" = "StableMarking" ] || [ "CTLFireability" = "Liveness" ] || [ "CTLFireability" = "OneSafe" ] || [ "CTLFireability" = "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 [ "CTLFireability" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "CTLFireability" != "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 "CTLFireability.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property CTLFireability.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "CTLFireability.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 '' CTLFireability.xml | cut -d '>' -f 2 | cut -d '<' -f 1 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ "CTLFireability" = "ReachabilityDeadlock" ] || [ "CTLFireability" = "QuasiLiveness" ] || [ "CTLFireability" = "StableMarking" ] || [ "CTLFireability" = "Liveness" ] || [ "CTLFireability" = "OneSafe" ] ; then
echo "FORMULA_NAME CTLFireability"
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 ;