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.r490-tall-167912708300190.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 marciexred
Input is Sudoku-PT-AN04, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r490-tall-167912708300190
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 2.1M
-rw-r--r-- 1 mcc users 38K Feb 26 09:17 CTLCardinality.txt
-rw-r--r-- 1 mcc users 224K Feb 26 09:17 CTLCardinality.xml
-rw-r--r-- 1 mcc users 32K Feb 26 09:14 CTLFireability.txt
-rw-r--r-- 1 mcc users 152K Feb 26 09:14 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 23K Feb 25 17:16 LTLCardinality.txt
-rw-r--r-- 1 mcc users 89K Feb 25 17:16 LTLCardinality.xml
-rw-r--r-- 1 mcc users 35K Feb 25 17:16 LTLFireability.txt
-rw-r--r-- 1 mcc users 134K Feb 25 17:16 LTLFireability.xml
-rw-r--r-- 1 mcc users 65K Feb 26 09:21 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 358K Feb 26 09:21 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 135K Feb 26 09:18 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 674K Feb 26 09:18 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 5.8K Feb 25 17:16 UpperBounds.txt
-rw-r--r-- 1 mcc users 15K Feb 25 17:16 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 44K 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-AN04-ReachabilityCardinality-00
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-01
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-02
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-03
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-04
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-05
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-06
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-07
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-08
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-09
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-10
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-11
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-12
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-13
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-14
FORMULA_NAME Sudoku-PT-AN04-ReachabilityCardinality-15

=== Now, execution of the tool begins

BK_START 1679200427951

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=marciexred
BK_EXAMINATION=ReachabilityCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=Sudoku-PT-AN04
Applying reductions before tool marcie
Invoking reducer
Running Version 202303021504
[2023-03-19 04:33:49] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, ReachabilityCardinality, -timeout, 360, -rebuildPNML]
[2023-03-19 04:33:49] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2023-03-19 04:33:49] [INFO ] Load time of PNML (sax parser for PT used): 33 ms
[2023-03-19 04:33:49] [INFO ] Transformed 112 places.
[2023-03-19 04:33:49] [INFO ] Transformed 64 transitions.
[2023-03-19 04:33:49] [INFO ] Parsed PT model containing 112 places and 64 transitions and 256 arcs in 89 ms.
Parsed 16 properties from file /home/mcc/execution/ReachabilityCardinality.xml in 32 ms.
Working with output stream class java.io.PrintStream
Initial state reduction rules removed 1 formulas.
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-05 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-14 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Incomplete random walk after 10000 steps, including 697 resets, run finished after 464 ms. (steps per millisecond=21 ) properties (out of 14) seen :6
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-15 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-13 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-12 FALSE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-07 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-03 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-02 TRUE TECHNIQUES TOPOLOGICAL RANDOM_WALK
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 82 ms. (steps per millisecond=121 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 46 ms. (steps per millisecond=217 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 31 ms. (steps per millisecond=322 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 87 ms. (steps per millisecond=114 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 31 resets, run finished after 56 ms. (steps per millisecond=178 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 99 ms. (steps per millisecond=101 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 30 resets, run finished after 66 ms. (steps per millisecond=151 ) properties (out of 8) seen :0
Incomplete Best-First random walk after 10001 steps, including 29 resets, run finished after 20 ms. (steps per millisecond=500 ) properties (out of 8) seen :0
Running SMT prover for 8 properties.
// Phase 1: matrix 64 rows 112 cols
[2023-03-19 04:33:50] [INFO ] Computed 48 place invariants in 16 ms
[2023-03-19 04:33:50] [INFO ] [Real]Absence check using 48 positive place invariants in 9 ms returned sat
[2023-03-19 04:33:50] [INFO ] After 215ms SMT Verify possible using all constraints in real domain returned unsat :4 sat :0 real:4
[2023-03-19 04:33:50] [INFO ] [Nat]Absence check using 48 positive place invariants in 9 ms returned sat
[2023-03-19 04:33:50] [INFO ] After 81ms SMT Verify possible using all constraints in natural domain returned unsat :8 sat :0
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-11 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-10 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-09 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-08 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-06 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-04 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-01 FALSE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
FORMULA Sudoku-PT-AN04-ReachabilityCardinality-00 TRUE TECHNIQUES STRUCTURAL_REDUCTION TOPOLOGICAL SAT_SMT
Fused 8 Parikh solutions to 0 different solutions.
Parikh walk visited 0 properties in 1 ms.
All properties solved without resorting to model-checking.
Total runtime 1683 ms.
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//../reducer/bin//../../marcie/bin/marcie --net-file=model.pnml --mcc-file=ReachabilityCardinality.xml --memory=6 --mcc-mode

parse successfull
net created successfully

Net: Sudoku_PT_AN04
(NrP: 112 NrTr: 64 NrArc: 256)

parse formulas
formulas created successfully
place and transition orderings generation:0m 0.001sec

net check time: 0m 0.000sec

init dd package: 0m 2.685sec


RS generation: 0m47.042sec


-> reachability set: #nodes 2921644 (2.9e+06) #states 127,545,137 (8)



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

checking: AG [Board_3_2_1<=1]
normalized: ~ [E [true U ~ [Board_3_2_1<=1]]]

abstracting: (Board_3_2_1<=1)
states: 127,545,137 (8)
-> the formula is TRUE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-11 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.000sec

checking: EF [Board_0_3_1<=Board_0_2_2]
normalized: E [true U Board_0_3_1<=Board_0_2_2]

abstracting: (Board_0_3_1<=Board_0_2_2)
states: 112,871,246 (8)
-> the formula is TRUE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-14 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m56.762sec

checking: EF [[1<=Board_3_3_3 & 1<=Board_1_1_0]]
normalized: E [true U [1<=Board_3_3_3 & 1<=Board_1_1_0]]

abstracting: (1<=Board_1_1_0)
states: 17,723,659 (7)
abstracting: (1<=Board_3_3_3)
states: 17,723,659 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-15 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m10.333sec

checking: EF [~ [[Board_3_3_3<=Rows_1_0 | [~ [1<=Board_2_1_2] | [Board_2_0_2<=Board_1_1_3 & [[Board_0_0_0<=1 | [~ [Board_0_2_2<=Columns_1_1] | [Rows_0_2<=Rows_2_2 | Board_0_0_3<=1]]] | Board_2_2_3<=Rows_1_0]]]]]]
normalized: E [true U ~ [[Board_3_3_3<=Rows_1_0 | [[Board_2_0_2<=Board_1_1_3 & [Board_2_2_3<=Rows_1_0 | [Board_0_0_0<=1 | [[Rows_0_2<=Rows_2_2 | Board_0_0_3<=1] | ~ [Board_0_2_2<=Columns_1_1]]]]] | ~ [1<=Board_2_1_2]]]]]

abstracting: (1<=Board_2_1_2)
states: 17,723,659 (7)
abstracting: (Board_0_2_2<=Columns_1_1)
states: 117,575,590 (8)
abstracting: (Board_0_0_3<=1)
states: 127,545,137 (8)
abstracting: (Rows_0_2<=Rows_2_2)
states: 93,247,717 (7)
abstracting: (Board_0_0_0<=1)
states: 127,545,137 (8)
abstracting: (Board_2_2_3<=Rows_1_0)
states: 117,575,590 (8)
abstracting: (Board_2_0_2<=Board_1_1_3)
states: 112,128,071 (8)
abstracting: (Board_3_3_3<=Rows_1_0)
states: 117,575,590 (8)
-> the formula is FALSE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-08 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m18.779sec

checking: AG [~ [70<=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)]]
normalized: ~ [E [true U 70<=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)]]

abstracting: (70<=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
-> the formula is TRUE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-04 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m 0.174sec

checking: EF [[~ [[[[[Board_3_2_2<=0 & ~ [[1<=Cells_3_2 & Rows_2_1<=Board_1_1_0]]] | 1<=Cells_3_2] | [~ [[Cells_2_3<=Board_3_3_1 & ~ [Board_1_3_2<=1]]] | ~ [Board_1_0_1<=0]]] | [Board_3_1_2<=Board_0_1_2 & [[[1<=Cells_1_3 & Board_2_2_0<=1] | [1<=Columns_2_0 | [Board_3_3_1<=Board_0_1_3 & [Board_0_0_3<=0 | 1<=Rows_1_0]]]] & [~ [[Columns_0_2<=Cells_2_0 & 1<=Board_0_0_1]] | [Board_1_1_1<=1 | 1<=Board_2_2_3]]]]]] & [[Cells_3_1<=1 | ~ [[[~ [Board_0_1_3<=Board_2_3_3] & Board_2_3_0<=0] | Cells_1_2<=Board_1_3_2]]] | Cells_1_3<=Rows_1_1]]]
normalized: E [true U [~ [[[[~ [[Cells_2_3<=Board_3_3_1 & ~ [Board_1_3_2<=1]]] | ~ [Board_1_0_1<=0]] | [1<=Cells_3_2 | [Board_3_2_2<=0 & ~ [[1<=Cells_3_2 & Rows_2_1<=Board_1_1_0]]]]] | [Board_3_1_2<=Board_0_1_2 & [[~ [[Columns_0_2<=Cells_2_0 & 1<=Board_0_0_1]] | [Board_1_1_1<=1 | 1<=Board_2_2_3]] & [[1<=Columns_2_0 | [Board_3_3_1<=Board_0_1_3 & [Board_0_0_3<=0 | 1<=Rows_1_0]]] | [1<=Cells_1_3 & Board_2_2_0<=1]]]]]] & [Cells_1_3<=Rows_1_1 | [Cells_3_1<=1 | ~ [[Cells_1_2<=Board_1_3_2 | [Board_2_3_0<=0 & ~ [Board_0_1_3<=Board_2_3_3]]]]]]]]

abstracting: (Board_0_1_3<=Board_2_3_3)
states: 112,871,246 (8)
abstracting: (Board_2_3_0<=0)
states: 109,821,478 (8)
abstracting: (Cells_1_2<=Board_1_3_2)
states: 79,468,991 (7)
abstracting: (Cells_3_1<=1)
states: 127,545,137 (8)
abstracting: (Cells_1_3<=Rows_1_1)
states: 101,822,072 (8)
abstracting: (Board_2_2_0<=1)
states: 127,545,137 (8)
abstracting: (1<=Cells_1_3)
states: 56,650,501 (7)
abstracting: (1<=Rows_1_0)
states: 56,650,501 (7)
abstracting: (Board_0_0_3<=0)
states: 109,821,478 (8)
abstracting: (Board_3_3_1<=Board_0_1_3)
states: 112,128,071 (8)
abstracting: (1<=Columns_2_0)
states: 56,650,501 (7)
abstracting: (1<=Board_2_2_3)
states: 17,723,659 (7)
abstracting: (Board_1_1_1<=1)
states: 127,545,137 (8)
abstracting: (1<=Board_0_0_1)
states: 17,723,659 (7)
abstracting: (Columns_0_2<=Cells_2_0)
states: 101,822,072 (8)
abstracting: (Board_3_1_2<=Board_0_1_2)
states: 109,821,478 (8)
abstracting: (Rows_2_1<=Board_1_1_0)
states: 78,648,748 (7)
abstracting: (1<=Cells_3_2)
states: 56,650,501 (7)
abstracting: (Board_3_2_2<=0)
states: 109,821,478 (8)
abstracting: (1<=Cells_3_2)
states: 56,650,501 (7)
abstracting: (Board_1_0_1<=0)
states: 109,821,478 (8)
abstracting: (Board_1_3_2<=1)
states: 127,545,137 (8)
abstracting: (Cells_2_3<=Board_3_3_1)
states: 79,468,991 (7)
-> the formula is FALSE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-10 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 0m43.523sec

checking: EF [~ [[[~ [1<=Board_2_0_0] & [[~ [Columns_1_1<=0] & [[[~ [Board_0_1_2<=1] | [1<=Board_3_2_1 | Board_1_0_3<=Board_2_0_0]] & [[1<=Cells_2_2 | 1<=Board_0_2_2] & [1<=Columns_3_3 | 1<=Cells_0_2]]] | Board_1_0_1<=Board_2_0_0]] | [~ [Board_1_1_1<=1] & ~ [1<=Rows_3_3]]]] & ~ [[~ [[[[Cells_2_0<=Board_1_3_0 | ~ [1<=Board_0_3_0]] & [[1<=Board_1_3_0 & 1<=Rows_3_3] | Board_1_3_3<=1]] & [~ [Board_1_2_0<=Board_0_3_0] | ~ [Cells_1_0<=Board_3_1_1]]]] | [Cells_1_2<=0 & [[~ [[1<=Board_2_2_0 | 1<=Board_2_3_0]] | [[1<=Board_2_2_3 | Board_1_1_0<=1] | ~ [1<=Columns_0_3]]] | Board_1_1_1<=Board_0_1_0]]]]]]]
normalized: E [true U ~ [[~ [[[Cells_1_2<=0 & [Board_1_1_1<=Board_0_1_0 | [[~ [1<=Columns_0_3] | [1<=Board_2_2_3 | Board_1_1_0<=1]] | ~ [[1<=Board_2_2_0 | 1<=Board_2_3_0]]]]] | ~ [[[~ [Cells_1_0<=Board_3_1_1] | ~ [Board_1_2_0<=Board_0_3_0]] & [[Board_1_3_3<=1 | [1<=Board_1_3_0 & 1<=Rows_3_3]] & [Cells_2_0<=Board_1_3_0 | ~ [1<=Board_0_3_0]]]]]]] & [[[~ [1<=Rows_3_3] & ~ [Board_1_1_1<=1]] | [[Board_1_0_1<=Board_2_0_0 | [[[1<=Columns_3_3 | 1<=Cells_0_2] & [1<=Cells_2_2 | 1<=Board_0_2_2]] & [[1<=Board_3_2_1 | Board_1_0_3<=Board_2_0_0] | ~ [Board_0_1_2<=1]]]] & ~ [Columns_1_1<=0]]] & ~ [1<=Board_2_0_0]]]]]

abstracting: (1<=Board_2_0_0)
states: 17,723,659 (7)
abstracting: (Columns_1_1<=0)
states: 70,894,636 (7)
abstracting: (Board_0_1_2<=1)
states: 127,545,137 (8)
abstracting: (Board_1_0_3<=Board_2_0_0)
states: 112,871,246 (8)
abstracting: (1<=Board_3_2_1)
states: 17,723,659 (7)
abstracting: (1<=Board_0_2_2)
states: 17,723,659 (7)
abstracting: (1<=Cells_2_2)
states: 56,650,501 (7)
abstracting: (1<=Cells_0_2)
states: 56,650,501 (7)
abstracting: (1<=Columns_3_3)
states: 56,650,501 (7)
abstracting: (Board_1_0_1<=Board_2_0_0)
states: 112,871,246 (8)
abstracting: (Board_1_1_1<=1)
states: 127,545,137 (8)
abstracting: (1<=Rows_3_3)
states: 56,650,501 (7)
abstracting: (1<=Board_0_3_0)
states: 17,723,659 (7)
abstracting: (Cells_2_0<=Board_1_3_0)
states: 78,648,748 (7)
abstracting: (1<=Rows_3_3)
states: 56,650,501 (7)
abstracting: (1<=Board_1_3_0)
states: 17,723,659 (7)
abstracting: (Board_1_3_3<=1)
states: 127,545,137 (8)
abstracting: (Board_1_2_0<=Board_0_3_0)
states: 112,871,246 (8)
abstracting: (Cells_1_0<=Board_3_1_1)
states: 78,648,748 (7)
abstracting: (1<=Board_2_3_0)
states: 17,723,659 (7)
abstracting: (1<=Board_2_2_0)
states: 17,723,659 (7)
abstracting: (Board_1_1_0<=1)
states: 127,545,137 (8)
abstracting: (1<=Board_2_2_3)
states: 17,723,659 (7)
abstracting: (1<=Columns_0_3)
states: 56,650,501 (7)
abstracting: (Board_1_1_1<=Board_0_1_0)
states: 112,871,246 (8)
abstracting: (Cells_1_2<=0)
states: 70,894,636 (7)
-> the formula is TRUE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-13 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 2m10.116sec

checking: AG [[Board_3_0_3<=1 & [~ [[[[[[Columns_0_3<=Board_0_0_2 & ~ [Board_1_1_0<=Board_3_0_2]] | 1<=Board_2_1_3] & [[[Rows_0_1<=Board_0_2_3 | 1<=Cells_3_3] | ~ [1<=Cells_1_3]] & [[1<=Board_2_0_0 & Columns_2_2<=Board_3_2_3] | [1<=Board_1_3_0 | Board_3_0_3<=Cells_0_0]]]] | [Columns_1_1<=1 | Board_3_1_3<=Board_2_1_1]] & [~ [[[Board_0_1_1<=0 | [Board_1_1_3<=1 | Board_1_0_0<=Board_0_1_1]] & [~ [Board_3_3_0<=0] | [1<=Board_3_3_1 & 1<=Columns_2_3]]]] & ~ [[[[Board_1_1_1<=Board_0_3_3 & Board_1_2_3<=Board_0_3_0] | ~ [1<=Board_3_0_2]] | ~ [Cells_1_3<=Board_0_2_1]]]]]] | [[Rows_0_1<=Rows_2_3 & ~ [Board_0_0_3<=1]] & 1<=Board_0_1_0]]]]
normalized: ~ [E [true U ~ [[Board_3_0_3<=1 & [[1<=Board_0_1_0 & [Rows_0_1<=Rows_2_3 & ~ [Board_0_0_3<=1]]] | ~ [[[~ [[~ [Cells_1_3<=Board_0_2_1] | [~ [1<=Board_3_0_2] | [Board_1_1_1<=Board_0_3_3 & Board_1_2_3<=Board_0_3_0]]]] & ~ [[[[1<=Board_3_3_1 & 1<=Columns_2_3] | ~ [Board_3_3_0<=0]] & [Board_0_1_1<=0 | [Board_1_1_3<=1 | Board_1_0_0<=Board_0_1_1]]]]] & [[Columns_1_1<=1 | Board_3_1_3<=Board_2_1_1] | [[[[1<=Board_1_3_0 | Board_3_0_3<=Cells_0_0] | [1<=Board_2_0_0 & Columns_2_2<=Board_3_2_3]] & [~ [1<=Cells_1_3] | [Rows_0_1<=Board_0_2_3 | 1<=Cells_3_3]]] & [1<=Board_2_1_3 | [Columns_0_3<=Board_0_0_2 & ~ [Board_1_1_0<=Board_3_0_2]]]]]]]]]]]]

abstracting: (Board_1_1_0<=Board_3_0_2)
states: 112,128,071 (8)
abstracting: (Columns_0_3<=Board_0_0_2)
states: 79,468,991 (7)
abstracting: (1<=Board_2_1_3)
states: 17,723,659 (7)
abstracting: (1<=Cells_3_3)
states: 56,650,501 (7)
abstracting: (Rows_0_1<=Board_0_2_3)
states: 79,468,991 (7)
abstracting: (1<=Cells_1_3)
states: 56,650,501 (7)
abstracting: (Columns_2_2<=Board_3_2_3)
states: 79,468,991 (7)
abstracting: (1<=Board_2_0_0)
states: 17,723,659 (7)
abstracting: (Board_3_0_3<=Cells_0_0)

before gc: list nodes free: 1441396

after gc: idd nodes used:38517220, unused:25482780; list nodes free:114004669
states: 118,395,833 (8)
abstracting: (1<=Board_1_3_0)
states: 17,723,659 (7)
abstracting: (Board_3_1_3<=Board_2_1_1)
states: 112,871,246 (8)
abstracting: (Columns_1_1<=1)
states: 127,545,137 (8)
abstracting: (Board_1_0_0<=Board_0_1_1)
states: 112,128,071 (8)
abstracting: (Board_1_1_3<=1)
states: 127,545,137 (8)
abstracting: (Board_0_1_1<=0)
states: 109,821,478 (8)
abstracting: (Board_3_3_0<=0)
states: 109,821,478 (8)
abstracting: (1<=Columns_2_3)
states: 56,650,501 (7)
abstracting: (1<=Board_3_3_1)
states: 17,723,659 (7)
abstracting: (Board_1_2_3<=Board_0_3_0)
states: 112,128,071 (8)
abstracting: (Board_1_1_1<=Board_0_3_3)
states: 112,128,071 (8)
abstracting: (1<=Board_3_0_2)
states: 17,723,659 (7)
abstracting: (Cells_1_3<=Board_0_2_1)
states: 78,648,748 (7)
abstracting: (Board_0_0_3<=1)
states: 127,545,137 (8)
abstracting: (Rows_0_1<=Rows_2_3)
states: 96,528,689 (7)
abstracting: (1<=Board_0_1_0)
states: 17,723,659 (7)
abstracting: (Board_3_0_3<=1)
states: 127,545,137 (8)
-> the formula is FALSE

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-12 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT

MC time: 1m42.267sec

checking: AG [[~ [[[Rows_1_3<=1 & [[~ [[Board_3_1_3<=Board_1_2_0 & [Board_0_1_2<=0 | 1<=Board_1_0_0]]] | [[~ [1<=Columns_0_0] | ~ [Board_2_3_3<=Board_0_0_1]] | Rows_3_1<=0]] | [~ [[[1<=Cells_1_2 | 1<=Rows_0_1] & Cells_0_2<=Board_1_2_0]] | [Rows_3_0<=Rows_1_2 | [~ [1<=Board_1_1_3] | 1<=Board_0_1_0]]]]] & ~ [[[[[~ [1<=Board_2_3_0] & Board_1_0_1<=1] | ~ [1<=Board_0_3_0]] | [[1<=Board_3_0_0 & ~ [Columns_3_0<=0]] | [~ [Board_3_0_2<=Board_1_0_0] | ~ [Rows_1_2<=Board_0_0_1]]]] | [~ [[Columns_1_3<=1 | 1<=Board_0_1_2]] & [[~ [1<=Board_1_0_2] | [1<=Columns_3_1 | Columns_0_2<=1]] & [Board_2_3_3<=Columns_2_2 | [Board_2_0_3<=1 & 1<=Board_0_1_2]]]]]]]] | [~ [[Columns_0_0<=Board_2_1_1 | [~ [[[1<=Board_2_1_1 & [1<=Board_1_0_1 & 1<=Columns_0_1]] | Cells_2_1<=0]] & 1<=Board_1_0_2]]] | [Cells_0_0<=Board_2_1_1 | [~ [[Cells_1_2<=1 & Cells_3_0<=Board_0_0_2]] | ~ [Cells_2_1<=1]]]]]]
normalized: ~ [E [true U ~ [[[[Cells_0_0<=Board_2_1_1 | [~ [Cells_2_1<=1] | ~ [[Cells_1_2<=1 & Cells_3_0<=Board_0_0_2]]]] | ~ [[Columns_0_0<=Board_2_1_1 | [1<=Board_1_0_2 & ~ [[Cells_2_1<=0 | [1<=Board_2_1_1 & [1<=Board_1_0_1 & 1<=Columns_0_1]]]]]]]] | ~ [[~ [[[[[Board_2_3_3<=Columns_2_2 | [Board_2_0_3<=1 & 1<=Board_0_1_2]] & [[1<=Columns_3_1 | Columns_0_2<=1] | ~ [1<=Board_1_0_2]]] & ~ [[Columns_1_3<=1 | 1<=Board_0_1_2]]] | [[[~ [Rows_1_2<=Board_0_0_1] | ~ [Board_3_0_2<=Board_1_0_0]] | [1<=Board_3_0_0 & ~ [Columns_3_0<=0]]] | [~ [1<=Board_0_3_0] | [Board_1_0_1<=1 & ~ [1<=Board_2_3_0]]]]]] & [Rows_1_3<=1 & [[[Rows_3_0<=Rows_1_2 | [1<=Board_0_1_0 | ~ [1<=Board_1_1_3]]] | ~ [[Cells_0_2<=Board_1_2_0 & [1<=Cells_1_2 | 1<=Rows_0_1]]]] | [[Rows_3_1<=0 | [~ [Board_2_3_3<=Board_0_0_1] | ~ [1<=Columns_0_0]]] | ~ [[Board_3_1_3<=Board_1_2_0 & [Board_0_1_2<=0 | 1<=Board_1_0_0]]]]]]]]]]]]

abstracting: (1<=Board_1_0_0)
states: 17,723,659 (7)
abstracting: (Board_0_1_2<=0)
states: 109,821,478 (8)
abstracting: (Board_3_1_3<=Board_1_2_0)
states: 112,128,071 (8)
abstracting: (1<=Columns_0_0)
states: 56,650,501 (7)
abstracting: (Board_2_3_3<=Board_0_0_1)
states: 112,128,071 (8)
abstracting: (Rows_3_1<=0)
states: 70,894,636 (7)
abstracting: (1<=Rows_0_1)

before gc: list nodes free: 1882772

after gc: idd nodes used:52458940, unused:11541060; list nodes free:52992275
states: 56,650,501 (7)
abstracting: (1<=Cells_1_2)
states: 56,650,501 (7)
abstracting: (Cells_0_2<=Board_1_2_0)
states: 79,468,991 (7)
abstracting: (1<=Board_1_1_3)
states: 17,723,659 (7)
abstracting: (1<=Board_0_1_0)
states: 17,723,659 (7)
abstracting: (Rows_3_0<=Rows_1_2)
states: 96,528,689 (7)
abstracting: (Rows_1_3<=1)
states: 127,545,137 (8)
abstracting: (1<=Board_2_3_0)
states: 17,723,659 (7)
abstracting: (Board_1_0_1<=1)
states: 127,545,137 (8)
abstracting: (1<=Board_0_3_0)
states: 17,723,659 (7)

before gc: list nodes free: 2182586

after gc: idd nodes used:57388651, unused:6611349; list nodes free:31280210
abstracting: (Columns_3_0<=0)
states: 70,894,636 (7)
abstracting: (1<=Board_3_0_0)
states: 17,723,659 (7)
abstracting: (Board_3_0_2<=Board_1_0_0)
states: 112,871,246 (8)
abstracting: (Rows_1_2<=Board_0_0_1)
states: 78,648,748 (7)
abstracting: (1<=Board_0_1_2)
states: 17,723,659 (7)
abstracting: (Columns_1_3<=1)
states: 127,545,137 (8)
abstracting: (1<=Board_1_0_2)
states: 17,723,659 (7)

before gc: list nodes free: 1779738

after gc: idd nodes used:60323864, unused:3676136; list nodes free:18173890
abstracting: (Columns_0_2<=1)
states: 127,545,137 (8)
abstracting: (1<=Columns_3_1)
states: 56,650,501 (7)
abstracting: (1<=Board_0_1_2)
states: 17,723,659 (7)
abstracting: (Board_2_0_3<=1)
states: 127,545,137 (8)
abstracting: (Board_2_3_3<=Columns_2_2)
states: 117,575,590 (8)
abstracting: (1<=Columns_0_1)
states: 56,650,501 (7)
abstracting: (1<=Board_1_0_1)

before gc: list nodes free: 2008279

after gc: idd nodes used:62887709, unused:1112291; list nodes free:6947304
states: 17,723,659 (7)
abstracting: (1<=Board_2_1_1)
states: 17,723,659 (7)
abstracting: (Cells_2_1<=0)
states: 70,894,636 (7)
abstracting: (1<=Board_1_0_2)
states: 17,723,659 (7)
abstracting: (Columns_0_0<=Board_2_1_1)

before gc: list nodes free: 1958943

after gc: idd nodes used:63566678, unused:433322; list nodes free:3861783

FORMULA Sudoku-PT-AN04-ReachabilityCardinality-09 CANNOT_COMPUTE

MC time: 2m43.617sec

checking: EF [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(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)]

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)<=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))

before gc: list nodes free: 1973187

after gc: idd nodes used:63544853, unused:455147; list nodes free:3967910
MC time: 7m12.000sec

checking: EF [[[~ [54<=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)] & 66<=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(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)]]]
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)<=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)] | [66<=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) & ~ [54<=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: (54<=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: 6m10.000sec

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)<=98] & [84<=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(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)<=43] | 73<=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)<=58] & ~ [15<=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)<=15] | 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]]
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)<=36 | [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)<=15 & ~ [[[~ [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)] | [[84<=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)<=98]]] | [~ [15<=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)<=58 | [73<=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)<=43]]]]]]]]]]]

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)<=43)
states: 127,545,137 (8)
abstracting: (73<=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: (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)<=58)
MC time: 5m18.000sec

checking: AG [[[~ [[~ [[[37<=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) | 83<=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)] & ~ [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(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)<=68 & 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)<=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(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)<=13 & 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)<=19]]]
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)<=13 & 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)<=19] | [[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(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)<=68 & 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)<=96]] | ~ [[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) | ~ [[[37<=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) | 83<=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)] & ~ [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)]]]]]]]]]]

abstracting: (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))
MC time: 4m32.000sec

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)<=100] & ~ [[[[94<=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)] | 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)<=64 & [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(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(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)<=87 & [[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 | 35<=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)] & 20<=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(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)] & 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)]]]]] | 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)]]
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)<=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)<=87 & [20<=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 | 35<=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)<=64 & [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(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]]]] & [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) & [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(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 | [94<=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)]]]] & ~ [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)<=100]]]]

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)<=100)
MC time: 3m52.999sec

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)<=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)<=38 & [[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)] & 44<=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)]] | ~ [[87<=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(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) & 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)]]]]]] & ~ [[~ [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)<=88] | [~ [[[37<=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)] | [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) & 10<=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)]]] | [23<=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)<=90] & 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)<=36]]]]]]] | [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)<=95 & ~ [[~ [[[[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 | 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)<=50] | 5<=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(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)<=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(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(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) | 61<=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)]] & ~ [[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)<=40 & 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)]]]]]]]]]
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)<=95 & ~ [[[[[~ [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(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) | 61<=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)<=40 & 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(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)<=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(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(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 | 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)<=50]]]]]]] | ~ [[~ [[[[23<=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)<=36 & ~ [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)<=90]]] | ~ [[[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) & 10<=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)] | [37<=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)]]]] | ~ [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)<=88]]] & ~ [[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) | [~ [[87<=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(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) & 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)]]] | [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)<=38 & [44<=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(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)]]]]]]]]]]]]

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)<=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))
states: 127,545,137 (8)
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(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: 3m19.999sec

checking: EF [[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)<=78 & [[[[~ [[[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)<=79 & 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(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)<=23]] | [[[33<=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(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)<=58 | 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)<=88]] & ~ [[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)<=14 & 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)<=100 | 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)<=95]] & [[53<=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(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)<=51]] | [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) & [~ [49<=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)] & [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) & 51<=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(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) | [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(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(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)]]] & [[~ [76<=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)] & [~ [[[97<=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)] | [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)<=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)<=36] | 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)<=66]]] | ~ [[[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)<=67 | [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)<=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)]] | 35<=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)]]]]]]]
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)<=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)<=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)<=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(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) | [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(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(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) & [[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) & 51<=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(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)<=51 | [53<=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)<=100 | 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)<=95]]]] & [[~ [[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)<=14 & 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)<=58 | 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)<=88] | [33<=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)<=23 & [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)<=79 & 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)]]]]]] & [~ [[35<=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)<=67 | [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)<=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(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)<=66 | ~ [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(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)<=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)] | [97<=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)]]]] & ~ [76<=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: (76<=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: 16393216 kB
MemFree: 6034200 kB
After kill :
MemTotal: 16393216 kB
MemFree: 16100148 kB

BK_TIME_CONFINEMENT_REACHED

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

+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ export PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ export LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
+ LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
++ sed s/.jar//
++ perl -pe 's/.*\.//g'
++ ls /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202303021504.jar
+ VERSION=202303021504
+ echo 'Running Version 202303021504'
+ /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/its-tools -pnfolder /home/mcc/execution -examination ReachabilityCardinality -timeout 360 -rebuildPNML
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:1766 (27), effective:64 (1)

initing FirstDep: 0m 0.000sec


iterations count:73 (1), effective:1 (0)

iterations count:130 (2), effective:2 (0)

iterations count:350 (5), effective:14 (0)

iterations count:315 (4), effective:11 (0)
idd.cc:820: DD Exception: No free nodes


idd.h:1025: Timeout: after 431 sec


idd.h:1025: Timeout: after 369 sec


idd.h:1025: Timeout: after 317 sec


idd.h:1025: Timeout: after 271 sec


idd.h:1025: Timeout: after 232 sec


idd.h:1025: Timeout: after 199 sec


idd.h:1025: Timeout: after 170 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-AN04"
export BK_EXAMINATION="ReachabilityCardinality"
export BK_TOOL="marciexred"
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 marciexred"
echo " Input is Sudoku-PT-AN04, examination is ReachabilityCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r490-tall-167912708300190"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/Sudoku-PT-AN04.tgz
mv Sudoku-PT-AN04 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 ;