Execution Chart

We display below the execution chart for this examination (boot time has been removed).

Trace from the execution

Formatting '/data/fkordon/mcc2023-input.r481-tall-167912691800302.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2023-input.qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
...................
=====================================================================
Generated by BenchKit 2-5348
Executing tool marcie
Input is Sudoku-PT-BN04, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 1
Run identifier is r481-tall-167912691800302
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 3.3M
-rw-r--r-- 1 mcc users 40K Feb 26 09:35 CTLCardinality.txt
-rw-r--r-- 1 mcc users 230K Feb 26 09:35 CTLCardinality.xml
-rw-r--r-- 1 mcc users 104K Feb 26 09:33 CTLFireability.txt
-rw-r--r-- 1 mcc users 488K Feb 26 09:33 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K Jan 29 11:41 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.6K Jan 29 11:41 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 18K Feb 25 17:17 LTLCardinality.txt
-rw-r--r-- 1 mcc users 73K Feb 25 17:17 LTLCardinality.xml
-rw-r--r-- 1 mcc users 31K Feb 25 17:17 LTLFireability.txt
-rw-r--r-- 1 mcc users 110K Feb 25 17:17 LTLFireability.xml
-rw-r--r-- 1 mcc users 88K Feb 26 09:39 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 496K Feb 26 09:39 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 268K Feb 26 09:36 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 1.3M Feb 26 09:36 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 4.6K Feb 25 17:17 UpperBounds.txt
-rw-r--r-- 1 mcc users 11K Feb 25 17:17 UpperBounds.xml
-rw-r--r-- 1 mcc users 5 Mar 5 18:23 equiv_col
-rw-r--r-- 1 mcc users 5 Mar 5 18:23 instance
-rw-r--r-- 1 mcc users 6 Mar 5 18:23 iscolored
-rw-r--r-- 1 mcc users 53K Mar 5 18:23 model.pnml

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

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

The expected result is a vector of booleans
BOOL_VECTOR

here is the order used to build the result vector(from text file)
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-00
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-01
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-02
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-03
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-04
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-05
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-06
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-07
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-08
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-09
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-10
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-11
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-12
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-13
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-14
FORMULA_NAME Sudoku-PT-BN04-ReachabilityCardinality-15

=== Now, execution of the tool begins

BK_START 1679157226640

bash -c /home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n "BK_STOP " ; date -u +%s%3N
Invoking MCC driver with
BK_TOOL=marcie
BK_EXAMINATION=ReachabilityCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=Sudoku-PT-BN04
Not applying reductions.
Model is PT
ReachabilityCardinality PT
timeout --kill-after=10s --signal=SIGINT 1m for testing only

Marcie built on Linux at 2019-11-18.
A model checker for Generalized Stochastic Petri nets

authors: Alex Tovchigrechko (IDD package and CTL model checking)

Martin Schwarick (Symbolic numerical analysis and CSL model checking)

Christian Rohr (Simulative and approximative numerical model checking)

marcie@informatik.tu-cottbus.de

called as: /home/mcc/BenchKit/bin//../marcie/bin/marcie --net-file=model.pnml --mcc-file=ReachabilityCardinality.xml --memory=6 --mcc-mode

parse successfull
net created successfully

Net: Sudoku_PT_BN04
(NrP: 128 NrTr: 64 NrArc: 320)

parse formulas
formulas created successfully
place and transition orderings generation:0m 0.002sec

net check time: 0m 0.000sec

init dd package: 0m 2.885sec


RS generation: 0m 7.451sec


-> reachability set: #nodes 710410 (7.1e+05) #states 61,556,225 (7)



starting MCC model checker
--------------------------

checking: AG [Board_0_3_1<=1]
normalized: ~ [E [true U ~ [Board_0_3_1<=1]]]

abstracting: (Board_0_3_1<=1)
states: 61,556,225 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-10 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.174sec

checking: AG [Board_1_1_2<=1]
normalized: ~ [E [true U ~ [Board_1_1_2<=1]]]

abstracting: (Board_1_1_2<=1)
states: 61,556,225 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-11 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.397sec

checking: AG [Board_3_2_0<=1]
normalized: ~ [E [true U ~ [Board_3_2_0<=1]]]

abstracting: (Board_3_2_0<=1)
states: 61,556,225 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-15 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.000sec

checking: EF [Columns_2_1<=Rows_3_2]
normalized: E [true U Columns_2_1<=Rows_3_2]

abstracting: (Columns_2_1<=Rows_3_2)
states: 46,094,130 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-14 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m17.977sec

checking: EF [~ [[[[~ [1<=Columns_3_1] | Board_3_3_3<=Board_2_1_2] & ~ [Board_1_1_1<=Board_2_3_2]] | [[~ [[~ [Board_1_2_2<=0] & [Cells_2_1<=0 & ~ [Board_2_3_3<=0]]]] | 1<=Board_2_1_1] | [[Board_2_1_1<=0 & Board_1_1_3<=Board_3_3_1] & 1<=Board_1_0_2]]]]]
normalized: E [true U ~ [[[[1<=Board_1_0_2 & [Board_2_1_1<=0 & Board_1_1_3<=Board_3_3_1]] | [1<=Board_2_1_1 | ~ [[[Cells_2_1<=0 & ~ [Board_2_3_3<=0]] & ~ [Board_1_2_2<=0]]]]] | [~ [Board_1_1_1<=Board_2_3_2] & [Board_3_3_3<=Board_2_1_2 | ~ [1<=Columns_3_1]]]]]]

abstracting: (1<=Columns_3_1)
states: 28,662,649 (7)
abstracting: (Board_3_3_3<=Board_2_1_2)
states: 54,224,681 (7)
abstracting: (Board_1_1_1<=Board_2_3_2)
states: 54,419,697 (7)
abstracting: (Board_1_2_2<=0)
states: 53,332,831 (7)
abstracting: (Board_2_3_3<=0)
states: 53,332,831 (7)
abstracting: (Cells_2_1<=0)
states: 32,893,576 (7)
abstracting: (1<=Board_2_1_1)
states: 8,223,394 (6)
abstracting: (Board_1_1_3<=Board_3_3_1)
states: 54,419,697 (7)
abstracting: (Board_2_1_1<=0)
states: 53,332,831 (7)
abstracting: (1<=Board_1_0_2)
states: 8,223,394 (6)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-13 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 6.721sec

checking: AG [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=89]
normalized: ~ [E [true U ~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=89]]]

abstracting: (sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=89)
states: 61,556,225 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-05 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.701sec

checking: EF [~ [[[Board_1_0_2<=Board_3_2_0 | ~ [[[[Regions_3_1<=Rows_0_2 & [~ [Board_2_1_2<=Rows_1_3] & [Board_3_2_0<=0 & Board_0_3_1<=Regions_2_0]]] | ~ [[1<=Board_3_2_3 & ~ [Cells_0_0<=0]]]] | [Board_3_1_0<=Board_1_2_2 & [[[Board_2_2_2<=Rows_0_1 & Board_1_1_1<=Cells_3_2] | [Cells_2_3<=0 | Board_3_1_1<=Regions_0_3]] & ~ [1<=Regions_1_2]]]]]] | ~ [[~ [Board_3_3_2<=Regions_3_2] & Board_3_3_2<=0]]]]]
normalized: E [true U ~ [[~ [[Board_3_3_2<=0 & ~ [Board_3_3_2<=Regions_3_2]]] | [Board_1_0_2<=Board_3_2_0 | ~ [[[Board_3_1_0<=Board_1_2_2 & [~ [1<=Regions_1_2] & [[Cells_2_3<=0 | Board_3_1_1<=Regions_0_3] | [Board_2_2_2<=Rows_0_1 & Board_1_1_1<=Cells_3_2]]]] | [~ [[1<=Board_3_2_3 & ~ [Cells_0_0<=0]]] | [Regions_3_1<=Rows_0_2 & [[Board_3_2_0<=0 & Board_0_3_1<=Regions_2_0] & ~ [Board_2_1_2<=Rows_1_3]]]]]]]]]]

abstracting: (Board_2_1_2<=Rows_1_3)
states: 57,127,680 (7)
abstracting: (Board_0_3_1<=Regions_2_0)
states: 57,208,761 (7)
abstracting: (Board_3_2_0<=0)
states: 53,332,831 (7)
abstracting: (Regions_3_1<=Rows_0_2)
states: 46,376,829 (7)
abstracting: (Cells_0_0<=0)
states: 32,893,576 (7)
abstracting: (1<=Board_3_2_3)
states: 8,223,394 (6)
abstracting: (Board_1_1_1<=Cells_3_2)
states: 57,148,894 (7)
abstracting: (Board_2_2_2<=Rows_0_1)
states: 57,127,680 (7)
abstracting: (Board_3_1_1<=Regions_0_3)
states: 57,046,599 (7)
abstracting: (Cells_2_3<=0)
states: 32,893,576 (7)
abstracting: (1<=Regions_1_2)
states: 28,662,649 (7)
abstracting: (Board_3_1_0<=Board_1_2_2)
states: 54,419,697 (7)
abstracting: (Board_1_0_2<=Board_3_2_0)
states: 54,419,697 (7)
abstracting: (Board_3_3_2<=Regions_3_2)
states: 53,332,831 (7)
abstracting: (Board_3_3_2<=0)
states: 53,332,831 (7)
-> the formula is FALSE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-08 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 8.619sec

checking: EF [[[[~ [1<=Rows_0_0] & [Board_0_3_2<=0 | 1<=Cells_3_1]] & ~ [[~ [[[~ [Rows_3_2<=1] | [Rows_0_1<=Cells_0_2 & [Board_0_2_3<=Board_1_3_1 & 1<=Board_0_2_3]]] & [[[1<=Board_0_0_1 | Columns_3_2<=0] & ~ [Columns_3_3<=1]] | ~ [1<=Rows_3_3]]]] | [~ [[[Columns_2_1<=0 & ~ [1<=Cells_1_0]] | [Regions_0_2<=Board_1_0_3 & ~ [Board_3_3_3<=0]]]] & [~ [[~ [1<=Board_0_2_0] & 1<=Board_2_3_0]] | ~ [[[Board_1_2_0<=1 | 1<=Rows_3_1] | ~ [1<=Board_1_1_2]]]]]]]] & ~ [[[1<=Rows_1_1 | [~ [Columns_1_3<=Board_0_3_1] | [Columns_2_1<=Regions_1_1 & [[Board_1_1_0<=1 & ~ [Regions_2_1<=Rows_2_1]] | ~ [[Board_2_0_2<=0 & 1<=Regions_3_3]]]]]] | ~ [Board_1_2_2<=1]]]]]
normalized: E [true U [~ [[~ [Board_1_2_2<=1] | [1<=Rows_1_1 | [[Columns_2_1<=Regions_1_1 & [~ [[Board_2_0_2<=0 & 1<=Regions_3_3]] | [Board_1_1_0<=1 & ~ [Regions_2_1<=Rows_2_1]]]] | ~ [Columns_1_3<=Board_0_3_1]]]]] & [~ [[[[~ [[~ [1<=Board_1_1_2] | [Board_1_2_0<=1 | 1<=Rows_3_1]]] | ~ [[1<=Board_2_3_0 & ~ [1<=Board_0_2_0]]]] & ~ [[[Regions_0_2<=Board_1_0_3 & ~ [Board_3_3_3<=0]] | [Columns_2_1<=0 & ~ [1<=Cells_1_0]]]]] | ~ [[[~ [1<=Rows_3_3] | [~ [Columns_3_3<=1] & [1<=Board_0_0_1 | Columns_3_2<=0]]] & [[Rows_0_1<=Cells_0_2 & [Board_0_2_3<=Board_1_3_1 & 1<=Board_0_2_3]] | ~ [Rows_3_2<=1]]]]]] & [[Board_0_3_2<=0 | 1<=Cells_3_1] & ~ [1<=Rows_0_0]]]]]

abstracting: (1<=Rows_0_0)
states: 28,662,649 (7)
abstracting: (1<=Cells_3_1)
states: 28,662,649 (7)
abstracting: (Board_0_3_2<=0)
states: 53,332,831 (7)
abstracting: (Rows_3_2<=1)
states: 61,556,225 (7)
abstracting: (1<=Board_0_2_3)
states: 8,223,394 (6)
abstracting: (Board_0_2_3<=Board_1_3_1)
states: 54,715,618 (7)
abstracting: (Rows_0_1<=Cells_0_2)
states: 49,086,788 (7)
abstracting: (Columns_3_2<=0)
states: 32,893,576 (7)
abstracting: (1<=Board_0_0_1)
states: 8,223,394 (6)
abstracting: (Columns_3_3<=1)
states: 61,556,225 (7)
abstracting: (1<=Rows_3_3)
states: 28,662,649 (7)
abstracting: (1<=Cells_1_0)
states: 28,662,649 (7)
abstracting: (Columns_2_1<=0)
states: 32,893,576 (7)
abstracting: (Board_3_3_3<=0)
states: 53,332,831 (7)
abstracting: (Regions_0_2<=Board_1_0_3)
states: 37,052,205 (7)
abstracting: (1<=Board_0_2_0)
states: 8,223,394 (6)
abstracting: (1<=Board_2_3_0)
states: 8,223,394 (6)
abstracting: (1<=Rows_3_1)
states: 28,662,649 (7)
abstracting: (Board_1_2_0<=1)
states: 61,556,225 (7)
abstracting: (1<=Board_1_1_2)
states: 8,223,394 (6)
abstracting: (Columns_1_3<=Board_0_3_1)
states: 36,688,425 (7)
abstracting: (Regions_2_1<=Rows_2_1)
states: 52,655,461 (7)
abstracting: (Board_1_1_0<=1)
states: 61,556,225 (7)
abstracting: (1<=Regions_3_3)
states: 28,662,649 (7)
abstracting: (Board_2_0_2<=0)
states: 53,332,831 (7)
abstracting: (Columns_2_1<=Regions_1_1)
states: 52,655,461 (7)
abstracting: (1<=Rows_1_1)
states: 28,662,649 (7)
abstracting: (Board_1_2_2<=1)
states: 61,556,225 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-12 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m19.470sec

checking: AG [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=51]
normalized: ~ [E [true U ~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=51]]]

abstracting: (sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=51)
MC time: 7m22.014sec

checking: EF [[30<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=68]]
normalized: E [true U [30<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=68]]

abstracting: (sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=68)
MC time: 6m27.001sec

checking: EF [[~ [[~ [[[[~ [[Regions_3_3<=1 & Columns_0_2<=Regions_2_1]] & Regions_3_2<=0] | [~ [[1<=Board_0_1_3 | Board_0_2_0<=1]] | [~ [1<=Rows_2_3] | [Board_2_3_0<=0 & 1<=Cells_1_3]]]] & ~ [[~ [Rows_2_3<=0] | [[1<=Board_2_3_0 & Board_0_1_3<=1] | [Board_0_3_0<=Regions_1_2 | Columns_0_2<=Board_0_2_0]]]]]] & [[[Board_1_1_2<=Board_3_3_3 | Board_1_0_2<=0] & Board_2_2_0<=Board_1_3_2] | [[~ [[[Regions_3_3<=Board_1_2_1 | Board_0_3_1<=0] & 1<=Board_2_2_1]] | [~ [Board_3_2_2<=Rows_2_3] | [[1<=Regions_1_1 & Board_1_3_1<=Board_3_2_3] | Cells_2_0<=1]]] | [1<=Columns_1_3 & [~ [Board_1_2_2<=0] | ~ [[Regions_3_3<=0 & 1<=Columns_2_0]]]]]]]] & [[Cells_2_3<=0 | [[[~ [[[Regions_3_1<=Columns_0_3 | 1<=Regions_1_0] | 1<=Regions_3_2]] | [[~ [1<=Board_3_2_2] | [1<=Regions_2_0 | Columns_1_1<=Board_1_0_0]] & [~ [1<=Cells_1_3] & [Columns_1_2<=1 | Board_3_3_0<=Cells_1_0]]]] | [[~ [Board_2_1_0<=0] | [[Columns_3_0<=Cells_0_3 & Cells_0_0<=0] & ~ [Board_1_2_0<=Regions_1_1]]] | [[[Board_3_1_0<=0 | Regions_1_2<=1] & [Board_0_0_1<=1 & 1<=Regions_0_1]] | [Board_0_0_2<=1 | 1<=Columns_0_1]]]] & [[[Board_0_1_2<=Regions_0_1 | [[1<=Board_0_3_3 | 1<=Board_0_1_0] | [Board_3_2_0<=1 & Board_3_0_1<=Columns_0_2]]] & 1<=Cells_3_3] & [~ [Columns_3_3<=Cells_2_2] & ~ [[Board_2_1_2<=1 & Columns_0_3<=1]]]]]] & [Board_2_3_0<=0 | [[[[Cells_1_2<=0 & ~ [Cells_2_1<=0]] & ~ [1<=Board_1_0_1]] | ~ [Board_0_3_1<=Columns_3_2]] | ~ [[~ [[[Rows_0_1<=Columns_1_1 & Columns_3_0<=Board_0_3_3] | [Columns_1_3<=Columns_1_2 & Cells_3_3<=0]]] & Rows_0_0<=1]]]]]]]
normalized: E [true U [[[Board_2_3_0<=0 | [~ [[Rows_0_0<=1 & ~ [[[Columns_1_3<=Columns_1_2 & Cells_3_3<=0] | [Rows_0_1<=Columns_1_1 & Columns_3_0<=Board_0_3_3]]]]] | [~ [Board_0_3_1<=Columns_3_2] | [~ [1<=Board_1_0_1] & [Cells_1_2<=0 & ~ [Cells_2_1<=0]]]]]] & [Cells_2_3<=0 | [[[~ [[Board_2_1_2<=1 & Columns_0_3<=1]] & ~ [Columns_3_3<=Cells_2_2]] & [1<=Cells_3_3 & [Board_0_1_2<=Regions_0_1 | [[Board_3_2_0<=1 & Board_3_0_1<=Columns_0_2] | [1<=Board_0_3_3 | 1<=Board_0_1_0]]]]] & [[[[Board_0_0_2<=1 | 1<=Columns_0_1] | [[Board_0_0_1<=1 & 1<=Regions_0_1] & [Board_3_1_0<=0 | Regions_1_2<=1]]] | [[~ [Board_1_2_0<=Regions_1_1] & [Columns_3_0<=Cells_0_3 & Cells_0_0<=0]] | ~ [Board_2_1_0<=0]]] | [[[[Columns_1_2<=1 | Board_3_3_0<=Cells_1_0] & ~ [1<=Cells_1_3]] & [[1<=Regions_2_0 | Columns_1_1<=Board_1_0_0] | ~ [1<=Board_3_2_2]]] | ~ [[1<=Regions_3_2 | [Regions_3_1<=Columns_0_3 | 1<=Regions_1_0]]]]]]]] & ~ [[[[[1<=Columns_1_3 & [~ [[Regions_3_3<=0 & 1<=Columns_2_0]] | ~ [Board_1_2_2<=0]]] | [[[Cells_2_0<=1 | [1<=Regions_1_1 & Board_1_3_1<=Board_3_2_3]] | ~ [Board_3_2_2<=Rows_2_3]] | ~ [[1<=Board_2_2_1 & [Regions_3_3<=Board_1_2_1 | Board_0_3_1<=0]]]]] | [Board_2_2_0<=Board_1_3_2 & [Board_1_1_2<=Board_3_3_3 | Board_1_0_2<=0]]] & ~ [[~ [[[[Board_0_3_0<=Regions_1_2 | Columns_0_2<=Board_0_2_0] | [1<=Board_2_3_0 & Board_0_1_3<=1]] | ~ [Rows_2_3<=0]]] & [[[[Board_2_3_0<=0 & 1<=Cells_1_3] | ~ [1<=Rows_2_3]] | ~ [[1<=Board_0_1_3 | Board_0_2_0<=1]]] | [Regions_3_2<=0 & ~ [[Regions_3_3<=1 & Columns_0_2<=Regions_2_1]]]]]]]]]]

abstracting: (Columns_0_2<=Regions_2_1)
states: 45,811,431 (7)
abstracting: (Regions_3_3<=1)
states: 61,556,225 (7)
abstracting: (Regions_3_2<=0)
states: 32,893,576 (7)
abstracting: (Board_0_2_0<=1)
states: 61,556,225 (7)
abstracting: (1<=Board_0_1_3)
states: 8,223,394 (6)
abstracting: (1<=Rows_2_3)
states: 28,662,649 (7)
abstracting: (1<=Cells_1_3)
states: 28,662,649 (7)
abstracting: (Board_2_3_0<=0)
states: 53,332,831 (7)
abstracting: (Rows_2_3<=0)
states: 32,893,576 (7)
abstracting: (Board_0_1_3<=1)
states: 61,556,225 (7)
abstracting: (1<=Board_2_3_0)
states: 8,223,394 (6)
abstracting: (Columns_0_2<=Board_0_2_0)
states: 36,688,425 (7)
abstracting: (Board_0_3_0<=Regions_1_2)
states: 57,491,460 (7)
abstracting: (Board_1_0_2<=0)
states: 53,332,831 (7)
abstracting: (Board_1_1_2<=Board_3_3_3)
states: 54,419,697 (7)
abstracting: (Board_2_2_0<=Board_1_3_2)
states: 54,224,681 (7)
abstracting: (Board_0_3_1<=0)
states: 53,332,831 (7)
abstracting: (Regions_3_3<=Board_1_2_1)
states: 36,607,344 (7)
abstracting: (1<=Board_2_2_1)
states: 8,223,394 (6)
abstracting: (Board_3_2_2<=Rows_2_3)
states: 57,048,749 (7)
abstracting: (Board_1_3_1<=Board_3_2_3)
states: 54,224,681 (7)
abstracting: (1<=Regions_1_1)
states: 28,662,649 (7)
abstracting: (Cells_2_0<=1)
states: 61,556,225 (7)
abstracting: (Board_1_2_2<=0)
states: 53,332,831 (7)
abstracting: (1<=Columns_2_0)
states: 28,662,649 (7)
abstracting: (Regions_3_3<=0)
states: 32,893,576 (7)
abstracting: (1<=Columns_1_3)
states: 28,662,649 (7)
abstracting: (1<=Regions_1_0)
states: 28,662,649 (7)
abstracting: (Regions_3_1<=Columns_0_3)
states: 46,376,829 (7)
abstracting: (1<=Regions_3_2)
states: 28,662,649 (7)
abstracting: (1<=Board_3_2_2)
states: 8,223,394 (6)
abstracting: (Columns_1_1<=Board_1_0_0)
states: 36,609,494 (7)
abstracting: (1<=Regions_2_0)
states: 28,662,649 (7)
abstracting: (1<=Cells_1_3)
states: 28,662,649 (7)
abstracting: (Board_3_3_0<=Cells_1_0)
states: 57,148,894 (7)
abstracting: (Columns_1_2<=1)
states: 61,556,225 (7)
abstracting: (Board_2_1_0<=0)
states: 53,332,831 (7)
abstracting: (Cells_0_0<=0)
states: 32,893,576 (7)
abstracting: (Columns_3_0<=Cells_0_3)
states: 49,086,788 (7)
abstracting: (Board_1_2_0<=Regions_1_1)
states: 57,491,460 (7)
abstracting: (Regions_1_2<=1)
states: 61,556,225 (7)
abstracting: (Board_3_1_0<=0)
states: 53,332,831 (7)
abstracting: (1<=Regions_0_1)
states: 28,662,649 (7)
abstracting: (Board_0_0_1<=1)
states: 61,556,225 (7)
abstracting: (1<=Columns_0_1)
states: 28,662,649 (7)
abstracting: (Board_0_0_2<=1)
states: 61,556,225 (7)
abstracting: (1<=Board_0_1_0)
states: 8,223,394 (6)
abstracting: (1<=Board_0_3_3)
states: 8,223,394 (6)
abstracting: (Board_3_0_1<=Columns_0_2)
states: 57,489,310 (7)
abstracting: (Board_3_2_0<=1)
states: 61,556,225 (7)
abstracting: (Board_0_1_2<=Regions_0_1)
states: 57,491,460 (7)
abstracting: (1<=Cells_3_3)
states: 28,662,649 (7)
abstracting: (Columns_3_3<=Cells_2_2)
states: 45,958,089 (7)
abstracting: (Columns_0_3<=1)
states: 61,556,225 (7)
abstracting: (Board_2_1_2<=1)
states: 61,556,225 (7)
abstracting: (Cells_2_3<=0)
states: 32,893,576 (7)
abstracting: (Cells_2_1<=0)
states: 32,893,576 (7)
abstracting: (Cells_1_2<=0)
states: 32,893,576 (7)
abstracting: (1<=Board_1_0_1)
states: 8,223,394 (6)
abstracting: (Board_0_3_1<=Columns_3_2)
states: 57,489,310 (7)
abstracting: (Columns_3_0<=Board_0_3_3)
states: 37,050,055 (7)
abstracting: (Rows_0_1<=Columns_1_1)
states: 49,018,999 (7)
abstracting: (Cells_3_3<=0)
states: 32,893,576 (7)
abstracting: (Columns_1_3<=Columns_1_2)
states: 44,930,309 (7)
abstracting: (Rows_0_0<=1)
states: 61,556,225 (7)
abstracting: (Board_2_3_0<=0)
states: 53,332,831 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-BN04-ReachabilityCardinality-09 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m36.049sec

checking: EF [[[~ [17<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] | [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=56 | ~ [[[~ [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=56 & 77<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] | ~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] | [[80<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=4] | 74<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]]]] | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] & [[~ [[62<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | [[[[63<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=62] & [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=96 & 78<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] | [2<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=9]]] & ~ [[[11<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=30] | ~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]]]]] & 5<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]]
normalized: E [true U [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) & [5<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & ~ [[62<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | [~ [[~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | [11<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=30]]] & [[2<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=9]] | [[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=96 & 78<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [63<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=62]]]]]]]] & [[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) | [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=56 | ~ [[[74<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | [80<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=4]] | [~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] | ~ [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=56 & 77<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]]]]]]] | ~ [17<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]]

abstracting: (17<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0))
states: 0
abstracting: (77<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0))
states: 0
abstracting: (sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=56)
states: 61,556,225 (7)
abstracting: (sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0))
states: 61,556,225 (7)
abstracting: (sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=4)
states: 1,708,704 (6)
abstracting: (80<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0))
states: 0
abstracting: (74<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0))
states: 0
abstracting: (sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=56)
states: 61,556,225 (7)
abstracting: (sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0))
MC time: 6m21.999sec

checking: EF [[4<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & [[[[[53<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]] & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | [[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=3 | [~ [26<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] | [30<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & 70<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]]]] | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]] & [~ [[26<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=8] & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]] & [[[~ [[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=14 & 71<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]] | [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=98] | ~ [99<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]] & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=81] | ~ [5<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]] | ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]]
normalized: E [true U [4<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & [[[[[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=81 & [[[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=98] | ~ [99<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] | ~ [[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=14 & 71<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]]] | ~ [5<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] & ~ [[26<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=8]]]]] & [[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=3 | [[30<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & 70<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] | ~ [26<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]] | [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & [53<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]]] | ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]]

abstracting: (sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0))
MC time: 5m26.999sec

checking: AG [[[[~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=73] & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=26]] | ~ [[[~ [[~ [20<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)] & [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=74] & ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]] | [[[[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=13] & ~ [20<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] & [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=94 | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=85] | [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=47 | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]] & [[~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=15] & ~ [90<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]] & [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & 53<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)] & 90<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]] | ~ [[[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & ~ [41<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] | [[[57<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | 94<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)] | ~ [70<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] & [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=80 | sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=21] & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]]]]] & ~ [[[13<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & [[[[~ [5<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] & ~ [82<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] & [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=28]]] | [[~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=14] & ~ [5<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] & [[58<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] & [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]]] & 24<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]] & sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]]]
normalized: ~ [E [true U ~ [[[~ [[[[[[90<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & 53<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] & [~ [90<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)] & ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=15]]] & [[[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=47 | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=94 | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=85]] & [~ [20<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=13]]]] | ~ [[[~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] & [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=74]] & ~ [20<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]]]] | ~ [[[[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=80 | sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=21]] & [~ [70<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] | [57<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | 94<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]] | [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & ~ [41<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]]]]] | [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=26 & ~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=73]] & ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]] & ~ [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & [13<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & [24<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & [[[[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [58<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] & [~ [5<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] & ~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=14]]] | [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=28]] & [~ [82<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & ~ [5<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]]]]]]]]]]

abstracting: (5<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0))
MC time: 4m40.999sec

checking: EF [[~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] | ~ [[[~ [[~ [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) & sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=59]] | ~ [75<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]]] | ~ [[~ [[[38<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=73]] | [[[12<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] & [93<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] & [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=75] & [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & 96<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]]]]] | [[[[[[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=15 | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)] & ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] & [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=74 & [22<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & 81<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]] | sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] & [~ [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=10 | 76<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] & [~ [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=98]] & ~ [[64<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=21]]]]] | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=44]]]]]
normalized: E [true U [~ [[[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=44 | [[[~ [[64<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=21]] & ~ [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=98]]] & ~ [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=10 | 76<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]] & [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | [[sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=74 & [22<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & 81<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]] & [~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)] & [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=15 | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]]]]] | [~ [[[[[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & 96<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=75]] & [[93<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] & [12<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]]] | ~ [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=73 | [38<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]]] | ~ [[~ [75<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)] | ~ [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) & sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=59]]]]]]] | ~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]

abstracting: (sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0))
states: 61,556,225 (7)
abstracting: (sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=59)
states: 61,556,225 (7)
abstracting: (sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0))
MC time: 4m 0.998sec

checking: AG [[[[~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=17] & [[[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) | ~ [65<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]] | [~ [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=21 & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=49]] | [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=100 & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=100] | [[sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=75 & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]]] | 61<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] & ~ [[[[~ [[[43<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | ~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]] | [~ [22<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)] | ~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=48]]] & 40<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] | ~ [[[[~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=65] & [1<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | 88<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)]] | [~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=37] & 74<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] | [[[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & 48<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)] | [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=94 | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]] | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=84]]]]]] | [67<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | [[[36<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & ~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=31]] | sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=6] | [[~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=59] | [[84<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | [~ [99<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)] & ~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]] | ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=41]]] | ~ [[~ [[42<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=93]] & ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]]]]]]
normalized: ~ [E [true U ~ [[[~ [[~ [[[sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=84 | [[sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=94 | sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] | [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) & 48<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]] | [[74<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) & ~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=37]] | [[1<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | 88<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)] & ~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=65]]]]] | [40<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & [[~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=48] | ~ [22<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)]] | ~ [[~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)] | [43<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]]]]]]] & [[61<=sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0) | [[[[[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=75 & sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] | [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)]] | [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=100 & sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=100]] | ~ [[sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=21 & sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=49]]] | [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0) | ~ [65<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]]] & ~ [sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=17]]] | [67<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) | [[~ [[~ [[42<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0) | sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)<=93]] & ~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)]]] | [[~ [sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)<=41] | [84<=sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0) | [~ [sum(Rows_3_3, Rows_3_2, Rows_3_1, Rows_3_0, Rows_2_3, Rows_2_2, Rows_2_1, Rows_2_0, Rows_1_3, Rows_1_2, Rows_1_1, Rows_1_0, Rows_0_3, Rows_0_2, Rows_0_1, Rows_0_0)<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0)] & ~ [99<=sum(Columns_3_3, Columns_3_2, Columns_3_1, Columns_3_0, Columns_2_3, Columns_2_2, Columns_2_1, Columns_2_0, Columns_1_3, Columns_1_2, Columns_1_1, Columns_1_0, Columns_0_3, Columns_0_2, Columns_0_1, Columns_0_0)]]]] | ~ [sum(Cells_3_3, Cells_3_2, Cells_3_1, Cells_3_0, Cells_2_3, Cells_2_2, Cells_2_1, Cells_2_0, Cells_1_3, Cells_1_2, Cells_1_1, Cells_1_0, Cells_0_3, Cells_0_2, Cells_0_1, Cells_0_0)<=59]]] | [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=6 | [36<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0) & ~ [sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=31]]]]]]]]]

abstracting: (sum(Regions_3_3, Regions_3_2, Regions_3_1, Regions_3_0, Regions_2_3, Regions_2_2, Regions_2_1, Regions_2_0, Regions_1_3, Regions_1_2, Regions_1_1, Regions_1_0, Regions_0_3, Regions_0_2, Regions_0_1, Regions_0_0)<=31)
states: 61,556,225 (7)
abstracting: (36<=sum(Board_3_3_3, Board_3_3_2, Board_3_3_1, Board_3_3_0, Board_3_2_3, Board_3_2_2, Board_3_2_1, Board_3_2_0, Board_3_1_3, Board_3_1_2, Board_3_1_1, Board_3_1_0, Board_3_0_3, Board_3_0_2, Board_3_0_1, Board_3_0_0, Board_2_3_3, Board_2_3_2, Board_2_3_1, Board_2_3_0, Board_2_2_3, Board_2_2_2, Board_2_2_1, Board_2_2_0, Board_2_1_3, Board_2_1_2, Board_2_1_1, Board_2_1_0, Board_2_0_3, Board_2_0_2, Board_2_0_1, Board_2_0_0, Board_1_3_3, Board_1_3_2, Board_1_3_1, Board_1_3_0, Board_1_2_3, Board_1_2_2, Board_1_2_1, Board_1_2_0, Board_1_1_3, Board_1_1_2, Board_1_1_1, Board_1_1_0, Board_1_0_3, Board_1_0_2, Board_1_0_1, Board_1_0_0, Board_0_3_3, Board_0_3_2, Board_0_3_1, Board_0_3_0, Board_0_2_3, Board_0_2_2, Board_0_2_1, Board_0_2_0, Board_0_1_3, Board_0_1_2, Board_0_1_1, Board_0_1_0, Board_0_0_3, Board_0_0_2, Board_0_0_1, Board_0_0_0))
TIME LIMIT: Killed by timeout after 3600 seconds
MemTotal: 16393916 kB
MemFree: 8468264 kB
After kill :
MemTotal: 16393916 kB
MemFree: 16175072 kB

BK_TIME_CONFINEMENT_REACHED

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

check for maximal unmarked siphon
ok
check for constant places
ok
check if there are places and transitions
ok
check if there are transitions without pre-places
ok
check if at least one transition is enabled in m0
ok
check if there are transitions that can never fire
ok


initing FirstDep: 0m 0.000sec


iterations count:1554 (24), effective:64 (1)

initing FirstDep: 0m 0.000sec


iterations count:157 (2), effective:4 (0)

iterations count:159 (2), effective:4 (0)

iterations count:529 (8), effective:23 (0)

idd.h:1025: Timeout: after 441 sec


idd.h:1025: Timeout: after 386 sec


iterations count:274 (4), effective:10 (0)

idd.h:1025: Timeout: after 381 sec


idd.h:1025: Timeout: after 326 sec


idd.h:1025: Timeout: after 280 sec


idd.h:1025: Timeout: after 240 sec


idd.h:1025: Timeout: after 205 sec

Sequence of Actions to be Executed by the VM

This is useful if one wants to reexecute the tool in the VM from the submitted image disk.

set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="Sudoku-PT-BN04"
export BK_EXAMINATION="ReachabilityCardinality"
export BK_TOOL="marcie"
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 2-5348"
echo " Executing tool marcie"
echo " Input is Sudoku-PT-BN04, examination is ReachabilityCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 1"
echo " Run identifier is r481-tall-167912691800302"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-PT-BN04.tgz
mv Sudoku-PT-BN04 execution
cd execution
if [ "ReachabilityCardinality" = "ReachabilityDeadlock" ] || [ "ReachabilityCardinality" = "UpperBounds" ] || [ "ReachabilityCardinality" = "QuasiLiveness" ] || [ "ReachabilityCardinality" = "StableMarking" ] || [ "ReachabilityCardinality" = "Liveness" ] || [ "ReachabilityCardinality" = "OneSafe" ] || [ "ReachabilityCardinality" = "StateSpace" ]; then
rm -f GenericPropertiesVerdict.xml
fi
pwd
ls -lh

echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "ReachabilityCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "ReachabilityCardinality" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "ReachabilityCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property ReachabilityCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "ReachabilityCardinality.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '' ReachabilityCardinality.xml | cut -d '>' -f 2 | cut -d '<' -f 1 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ "ReachabilityCardinality" = "ReachabilityDeadlock" ] || [ "ReachabilityCardinality" = "QuasiLiveness" ] || [ "ReachabilityCardinality" = "StableMarking" ] || [ "ReachabilityCardinality" = "Liveness" ] || [ "ReachabilityCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME ReachabilityCardinality"
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;