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-162106745900402.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-AN02, examination is CTLFireability
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r254-tall-162106745900402
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 308K
-rw-r--r-- 1 mcc users 9.4K May 15 08:50 CTLCardinality.txt
-rw-r--r-- 1 mcc users 91K May 15 08:50 CTLCardinality.xml
-rw-r--r-- 1 mcc users 5.5K May 15 08:50 CTLFireability.txt
-rw-r--r-- 1 mcc users 49K 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 3.7K Mar 28 16:44 LTLCardinality.txt
-rw-r--r-- 1 mcc users 27K 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 17K Mar 28 16:44 LTLFireability.xml
-rw-r--r-- 1 mcc users 3.4K May 13 19:29 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 17K May 13 19:29 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 2.8K May 13 19:29 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 16K 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 3.6K 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-AN02-CTLFireability-00
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-01
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-02
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-03
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-04
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-05
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-06
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-07
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-08
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-09
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-10
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-11
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-12
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-13
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-14
FORMULA_NAME Sudoku-COL-AN02-CTLFireability-15

=== Now, execution of the tool begins

BK_START 1621193959090

Running Version 0
[2021-05-16 19:39:20] [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 19:39:20] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2021-05-16 19:39:21] [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 19:39:21] [WARNING] Using fallBack plugin, rng conformance not checked
[2021-05-16 19:39:21] [INFO ] Load time of PNML (colored model parsed with PNMLFW) : 484 ms
[2021-05-16 19:39:21] [WARNING] Unknown color function,Tuple skipping symmetry detection on parameters for transition select
[2021-05-16 19:39:21] [INFO ] Imported 4 HL places and 1 HL transitions for a total of 20 PT places and 8.0 transition bindings in 14 ms.
Parsed 16 properties from file /home/mcc/execution/CTLFireability.xml in 11 ms.
[2021-05-16 19:39:21] [INFO ] Built PT skeleton of HLPN with 4 places and 1 transitions in 3 ms.
[2021-05-16 19:39:21] [INFO ] Skeletonized HLPN properties in 0 ms.
Successfully produced net in file /tmp/petri1000_10993171535741488208.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 19:39:21] [INFO ] Flatten gal took : 13 ms
[2021-05-16 19:39:21] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:21] [INFO ] Unfolded HLPN to a Petri net with 20 places and 8 transitions in 2 ms.
[2021-05-16 19:39:21] [INFO ] Unfolded HLPN properties in 1 ms.
Successfully produced net in file /tmp/petri1001_8187978677676081625.dot
Support contains 12 out of 20 places. Attempting structural reductions.
Starting structural reductions, iteration 0 : 20/20 places, 8/8 transitions.
Reduce places removed 8 places and 0 transitions.
Iterating post reduction 0 with 8 rules applied. Total rules applied 8 place count 12 transition count 8
Applied a total of 8 rules in 6 ms. Remains 12 /20 variables (removed 8) and now considering 8/8 (removed 0) transitions.
// Phase 1: matrix 8 rows 12 cols
[2021-05-16 19:39:21] [INFO ] Computed 5 place invariants in 5 ms
[2021-05-16 19:39:21] [INFO ] Implicit Places using invariants in 72 ms returned []
// Phase 1: matrix 8 rows 12 cols
[2021-05-16 19:39:21] [INFO ] Computed 5 place invariants in 2 ms
[2021-05-16 19:39:21] [INFO ] Implicit Places using invariants and state equation in 25 ms returned []
Implicit Place search using SMT with State Equation took 123 ms to find 0 implicit places.
// Phase 1: matrix 8 rows 12 cols
[2021-05-16 19:39:21] [INFO ] Computed 5 place invariants in 0 ms
[2021-05-16 19:39:21] [INFO ] Dead Transitions using invariants and state equation in 30 ms returned []
Finished structural reductions, in 1 iterations. Remains : 12/20 places, 8/8 transitions.
[2021-05-16 19:39:21] [INFO ] Initial state reduction rules for CTL removed 6 formulas.
[2021-05-16 19:39:21] [INFO ] Flatten gal took : 16 ms
FORMULA Sudoku-COL-AN02-CTLFireability-12 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-COL-AN02-CTLFireability-10 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-COL-AN02-CTLFireability-08 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-COL-AN02-CTLFireability-07 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-COL-AN02-CTLFireability-05 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-COL-AN02-CTLFireability-04 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
[2021-05-16 19:39:21] [INFO ] Flatten gal took : 7 ms
[2021-05-16 19:39:22] [INFO ] Input system was already deterministic with 8 transitions.
Finished random walk after 5 steps, including 1 resets, run visited all 8 properties in 1 ms. (steps per millisecond=5 )
Applied a total of 0 rules in 3 ms. Remains 12 /12 variables (removed 0) and now considering 8/8 (removed 0) transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:39:22] [INFO ] Input system was already deterministic with 8 transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 2 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Time to serialize gal into /tmp/CTLFireability1392866635859198051.gal : 1 ms
[2021-05-16 19:39:22] [INFO ] Time to serialize properties into /tmp/CTLFireability15539358676150701007.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/CTLFireability1392866635859198051.gal, -t, CGAL, -ctl, /tmp/CTLFireability15539358676150701007.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/CTLFireability1392866635859198051.gal -t CGAL -ctl /tmp/CTLFireability15539358676150701007.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,34,0.005882,4264,2,80,5,202,6,0,47,154,0


Converting to forward existential form...Done !
original formula: EG(AF(AG(((((((((((Rows_0>=1)&&(Cells_1>=1))&&(Columns_2>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_3>=1)))||(((Rows_3>=1)&&(Cells_2>=1))&&(Columns_1>=1))))))
=> equivalent forward existential formula: [FwdG(Init,!(EG(!(!(E(TRUE U !(((((((((((Rows_0>=1)&&(Cells_1>=1))&&(Columns_2>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_3>=1)))||(((Rows_3>=1)&&(Cells_2>=1))&&(Columns_1>=1))))))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/8/8
dead was empty
(forward)formula 0,0,0.016315,4652,1,0,35,1035,32,16,311,1076,31
FORMULA Sudoku-COL-AN02-CTLFireability-00 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is FALSE !

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

Applied a total of 0 rules in 1 ms. Remains 12 /12 variables (removed 0) and now considering 8/8 (removed 0) transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Input system was already deterministic with 8 transitions.
Finished random walk after 5 steps, including 1 resets, run visited all 1 properties in 2 ms. (steps per millisecond=2 )
FORMULA Sudoku-COL-AN02-CTLFireability-06 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
Applied a total of 0 rules in 0 ms. Remains 12 /12 variables (removed 0) and now considering 8/8 (removed 0) transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Input system was already deterministic with 8 transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 1 ms
[2021-05-16 19:39:22] [INFO ] Time to serialize gal into /tmp/CTLFireability4228653054262507324.gal : 0 ms
[2021-05-16 19:39:22] [INFO ] Time to serialize properties into /tmp/CTLFireability17628412706015043566.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/CTLFireability4228653054262507324.gal, -t, CGAL, -ctl, /tmp/CTLFireability17628412706015043566.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/CTLFireability4228653054262507324.gal -t CGAL -ctl /tmp/CTLFireability17628412706015043566.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,34,0.002801,4420,2,80,5,202,6,0,47,154,0


Converting to forward existential form...Done !
original formula: !(AF(EG(EF(((((((((((Rows_0>=1)&&(Cells_1>=1))&&(Columns_2>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_3>=1)))||(((Rows_3>=1)&&(Cells_2>=1))&&(Columns_1>=1)))))))
=> equivalent forward existential formula: [FwdG(Init,!(EG(E(TRUE U ((((((((((Rows_0>=1)&&(Cells_1>=1))&&(Columns_2>=1))||(((Rows_0>=1)&&(Cells_0>=1))&&(Columns_0>=1)))||(((Rows_2>=1)&&(Cells_3>=1))&&(Columns_2>=1)))||(((Rows_1>=1)&&(Cells_1>=1))&&(Columns_3>=1)))||(((Rows_2>=1)&&(Cells_2>=1))&&(Columns_0>=1)))||(((Rows_1>=1)&&(Cells_0>=1))&&(Columns_1>=1)))||(((Rows_3>=1)&&(Cells_3>=1))&&(Columns_3>=1)))||(((Rows_3>=1)&&(Cells_2>=1))&&(Columns_1>=1)))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/8/8
(forward)formula 0,1,0.012587,4796,1,0,35,908,35,15,303,955,30
FORMULA Sudoku-COL-AN02-CTLFireability-11 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL
Formula is TRUE !

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

ITS tools runner thread asked to quit. Dying gracefully.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 5 ms
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 5 ms
[2021-05-16 19:39:22] [INFO ] Applying decomposition
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 5 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/graph5808399227403006101.txt, -o, /tmp/graph5808399227403006101.bin, -w, /tmp/graph5808399227403006101.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/graph5808399227403006101.bin, -l, -1, -v, -w, /tmp/graph5808399227403006101.weights, -q, 0, -e, 0.001], workingDir=null]
[2021-05-16 19:39:22] [INFO ] Decomposing Gal with order
[2021-05-16 19:39:22] [INFO ] Rewriting arrays to variables to allow decomposition.
[2021-05-16 19:39:22] [INFO ] Removed a total of 12 redundant transitions.
[2021-05-16 19:39:22] [INFO ] Flatten gal took : 19 ms
[2021-05-16 19:39:22] [INFO ] Fuse similar labels procedure discarded/fused a total of 0 labels/synchronizations in 0 ms.
[2021-05-16 19:39:22] [INFO ] Time to serialize gal into /tmp/CTLFireability923115641925350037.gal : 1 ms
[2021-05-16 19:39:22] [INFO ] Time to serialize properties into /tmp/CTLFireability6313907717614434350.ctl : 6 ms
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.202104292328/bin/its-ctl-linux64, --gc-threshold, 2000000, --quiet, -i, /tmp/CTLFireability923115641925350037.gal, -t, CGAL, -ctl, /tmp/CTLFireability6313907717614434350.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/CTLFireability923115641925350037.gal -t CGAL -ctl /tmp/CTLFireability6313907717614434350.ctl
No direction supplied, using forward translation only.
Parsed 7 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,34,0.003148,4304,82,3,146,31,26,44,4,19,0


Converting to forward existential form...Done !
original formula: A((!(AG(((EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) + ((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))) + ((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))))) * !(EG(EF(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) U A((A(((((((((((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * ((((((((E(EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U EF(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) + (((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))) + (((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1))) + (((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1))) + (((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1))) + (((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))
=> equivalent forward existential formula: [((Init * !(EG(!(!((E(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U (!((!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * ((((((((E(EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U E(TRUE U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) + (((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))) + (((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1))) + (((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1))) + (((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1))) + (((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) * !(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) + EG(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))))) * !(E(!(!((E(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U (!((!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * ((((((((E(EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U E(TRUE U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) + (((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))) + (((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1))) + (((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1))) + (((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1))) + (((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) * !(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) + EG(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))))) U (!((!(!(E(TRUE U !(((EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) + ((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))) + ((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))))))) * !(EG(E(TRUE U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))) * !(!((E(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U (!((!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * ((((((((E(EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U E(TRUE U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) + (((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))) + (((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1))) + (((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1))) + (((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1))) + (((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1))) + (((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1))) + (((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1))) + (((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) * !(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) + EG(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))))))] != FALSE
Reverse transition relation is NOT exact ! Due to transitions t0, t1, t2, t3, t4, t5, t6, t7, Intersection with reachable at each step enabled. (destroyed/reverse/intersect/total) :0/0/8/8
(forward)formula 0,0,0.11395,5332,1,0,838,31,307,1056,16,19,4165
FORMULA Sudoku-COL-AN02-CTLFireability-01 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

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

original formula: !(EX(AX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))
=> equivalent forward existential formula: [(EY(Init) * !(EX(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))] = FALSE
(forward)formula 1,1,0.117092,5332,1,0,861,31,307,1130,16,19,4237
FORMULA Sudoku-COL-AN02-CTLFireability-02 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

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

original formula: EG(EX(EF(EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))
=> equivalent forward existential formula: [FwdG(Init,EX(E(TRUE U EX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))] != FALSE
dead was empty
(forward)formula 2,0,0.12109,5332,1,0,883,31,307,1182,16,19,4396
FORMULA Sudoku-COL-AN02-CTLFireability-03 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

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

original formula: AX(((A(A(AX(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U A(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U ((((((((AG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * (((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))) * (((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1))) * (((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1))) * (((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1))) * (((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1))) * (((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1))) * (((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1))) * (((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))) + A(AF(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U ((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1))))) + AG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))
=> equivalent forward existential formula: [(FwdU((EY(Init) * !((!((E(!(((((((((!(E(TRUE U !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) * (((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))) * (((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1))) * (((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1))) * (((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1))) * (((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1))) * (((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1))) * (((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1))) * (((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))) U (!(!((E(!(!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))) U (!(!(EX(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * !(!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))) + EG(!(!((E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) + EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))))) * !(((((((((!(E(TRUE U !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) * (((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))) * (((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1))) * (((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1))) * (((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1))) * (((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1))) * (((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1))) * (((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1))) * (((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))))) + EG(!(((((((((!(E(TRUE U !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) * (((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))) * (((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1))) * (((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1))) * (((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1))) * (((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1))) * (((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1))) * (((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1))) * (((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1))))))) + !((E(!(((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))) U (!(!(EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * !(((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))))) + EG(!(((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))))))))),TRUE) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))] = FALSE
(forward)formula 3,1,0.200963,5332,1,0,922,31,314,1206,16,19,4679
FORMULA Sudoku-COL-AN02-CTLFireability-09 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

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

original formula: EX(A(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))
=> equivalent forward existential formula: [((EY(Init) * !(EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))) * !(E(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) U (!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))))] != FALSE
(forward)formula 4,1,0.211787,5332,1,0,922,31,314,1225,16,19,4679
FORMULA Sudoku-COL-AN02-CTLFireability-13 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

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

original formula: (AX(AX((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) + !(AF(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))) * E((((((((((((((((((((((((((((((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))&&((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))&&((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) * AF(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))) U E(E(((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U E(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U EF(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))))
=> equivalent forward existential formula: ([((EY(EY(Init)) * !(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) * !(EG(!(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))] = FALSE * [(Init * !(E((((((((((((((((((((((((((((((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))&&((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))&&((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) * !(EG(!(EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))) U E(E(((((((((((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))||(((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1)))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U E(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))) U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))) U E(TRUE U EG(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))] = FALSE)
(forward)formula 5,0,0.248771,5332,1,0,929,31,337,1235,16,19,4856
FORMULA Sudoku-COL-AN02-CTLFireability-14 FALSE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is FALSE !

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

original formula: !(EX(AG((((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1))) + !(EF(((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1)))))))))
=> equivalent forward existential formula: [(EY(Init) * !(E(TRUE U !((((((((((((u0.Rows_0<1)||(u5.Cells_1<1))||(u10.Columns_2<1))&&(((u0.Rows_0<1)||(u4.Cells_0<1))||(u8.Columns_0<1)))&&(((u2.Rows_2<1)||(u7.Cells_3<1))||(u10.Columns_2<1)))&&(((u1.Rows_1<1)||(u5.Cells_1<1))||(u11.Columns_3<1)))&&(((u2.Rows_2<1)||(u6.Cells_2<1))||(u8.Columns_0<1)))&&(((u1.Rows_1<1)||(u4.Cells_0<1))||(u9.Columns_1<1)))&&(((u3.Rows_3<1)||(u7.Cells_3<1))||(u11.Columns_3<1)))&&(((u3.Rows_3<1)||(u6.Cells_2<1))||(u9.Columns_1<1))) + !(E(TRUE U ((((((((((u0.Rows_0>=1)&&(u5.Cells_1>=1))&&(u10.Columns_2>=1))||(((u0.Rows_0>=1)&&(u4.Cells_0>=1))&&(u8.Columns_0>=1)))||(((u2.Rows_2>=1)&&(u7.Cells_3>=1))&&(u10.Columns_2>=1)))||(((u1.Rows_1>=1)&&(u5.Cells_1>=1))&&(u11.Columns_3>=1)))||(((u2.Rows_2>=1)&&(u6.Cells_2>=1))&&(u8.Columns_0>=1)))||(((u1.Rows_1>=1)&&(u4.Cells_0>=1))&&(u9.Columns_1>=1)))||(((u3.Rows_3>=1)&&(u7.Cells_3>=1))&&(u11.Columns_3>=1)))||(((u3.Rows_3>=1)&&(u6.Cells_2>=1))&&(u9.Columns_1>=1))))))))))] = FALSE
(forward)formula 6,1,0.259516,5332,1,0,929,31,337,1238,16,19,4856
FORMULA Sudoku-COL-AN02-CTLFireability-15 TRUE TECHNIQUES DECISION_DIAGRAMS TOPOLOGICAL USE_NUPN
Formula is TRUE !

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


BK_STOP 1621193963679

--------------------
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-AN02"
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-AN02, 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-162106745900402"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-COL-AN02.tgz
mv Sudoku-COL-AN02 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 ;