Execution Chart

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

Trace from the execution

Formatting '/data/fko/mcc2019-input.r197-oct2-155272230100035.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fko/mcc2019-input.qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
...........................................
=====================================================================
Generated by BenchKit 2-3954
Executing tool itstoolsm
Input is NQueens-PT-12, examination is ReachabilityCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r197-oct2-155272230100035
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 300K
-rw-r--r-- 1 mcc users 3.9K Feb 11 23:02 CTLCardinality.txt
-rw-r--r-- 1 mcc users 22K Feb 11 23:02 CTLCardinality.xml
-rw-r--r-- 1 mcc users 3.7K Feb 7 23:55 CTLFireability.txt
-rw-r--r-- 1 mcc users 24K Feb 7 23:55 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.0K Mar 10 17:31 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.1K Mar 10 17:31 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 100 Feb 24 15:05 GlobalProperties.txt
-rw-r--r-- 1 mcc users 338 Feb 24 15:05 GlobalProperties.xml
-rw-r--r-- 1 mcc users 2.5K Feb 5 00:15 LTLCardinality.txt
-rw-r--r-- 1 mcc users 12K Feb 5 00:15 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.0K Feb 4 22:36 LTLFireability.txt
-rw-r--r-- 1 mcc users 9.9K Feb 4 22:36 LTLFireability.xml
-rw-r--r-- 1 mcc users 3.5K Feb 4 06:32 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 18K Feb 4 06:32 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 2.8K Feb 1 00:06 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 15K Feb 1 00:06 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.6K Feb 4 22:21 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.6K Feb 4 22:21 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 Jan 29 09:34 equiv_col
-rw-r--r-- 1 mcc users 3 Jan 29 09:34 instance
-rw-r--r-- 1 mcc users 6 Jan 29 09:34 iscolored
-rw-r--r-- 1 mcc users 127K Mar 10 17:31 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 NQueens-PT-12-ReachabilityCardinality-00
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-01
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-02
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-03
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-04
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-05
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-06
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-07
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-08
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-09
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-10
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-11
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-12
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-13
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-14
FORMULA_NAME NQueens-PT-12-ReachabilityCardinality-15

=== Now, execution of the tool begins

BK_START 1553627723384

Working with output stream class java.io.PrintStream
FORMULA NQueens-PT-12-ReachabilityCardinality-10 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Using solver Z3 to compute partial order matrices.
Built C files in :
/home/mcc/execution
Running greatSPN : CommandLine [args=[/home/mcc/BenchKit//greatspn//bin/pinvar, /home/mcc/execution/gspn], workingDir=/home/mcc/execution]
Run of greatSPN captured in /home/mcc/execution/outPut.txt
Running greatSPN : CommandLine [args=[/home/mcc/BenchKit//greatspn//bin/RGMEDD2, /home/mcc/execution/gspn, -META, -varord-only], workingDir=/home/mcc/execution]
Run of greatSPN captured in /home/mcc/execution/outPut.txt
Using order generated by GreatSPN with heuristic : META
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201903251645/bin/its-reach-linux64, --gc-threshold, 2000000, --quiet, -i, /home/mcc/execution/ReachabilityCardinality.pnml.gal, -t, CGAL, -reachable-file, ReachabilityCardinality.prop, --nowitness, --load-order, /home/mcc/execution/model.ord], workingDir=/home/mcc/execution]

its-reach command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201903251645/bin/its-reach-linux64 --gc-threshold 2000000 --quiet -i /home/mcc/execution/ReachabilityCardinality.pnml.gal -t CGAL -reachable-file ReachabilityCardinality.prop --nowitness --load-order /home/mcc/execution/model.ord
Successfully loaded order from file /home/mcc/execution/model.ord
Loading property file ReachabilityCardinality.prop.
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-00 with value :(R_1>=3)
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-01 with value :((cX_4>=2)&&(P_5_11<=R_6))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-02 with value :((P_5_4>=2)&&((!(cY_2<=P_8_8))||((P_6_1<=cY_6)&&(L_15<=R_11))))
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-03 with value :(!(((cX_2>=3)&&(P_9_9<=P_8_0))&&(P_1_4>=1)))
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-04 with value :(!(P_6_11>=2))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-05 with value :(P_4_10>=3)
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-06 with value :(!(((P_2_3<=P_4_10)||(P_5_5<=R_6))||((P_4_4<=P_4_3)&&(P_5_8>=2))))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-07 with value :((((P_9_7<=P_7_3)||(L_4>=2))||((R_18<=P_3_10)||(R_8>=3)))&&(P_7_1>=2))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-08 with value :((((P_6_4>=2)&&(L_2<=cX_11))&&(cY_2<=P_0_4))||(((P_8_4>=2)&&(P_0_6<=P_8_7))&&((P_4_3<=P_0_5)||(R_21<=P_10_2))))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-09 with value :((R_19>=2)&&(P_2_11>=2))
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-11 with value :(P_6_11<=R_4)
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-12 with value :(((P_6_8<=cX_9)||((P_9_10>=3)||(P_10_7<=P_10_2)))||(((P_11_2<=P_10_7)&&(cY_1>=1))&&(!(L_17>=2))))
Read [reachable] property : NQueens-PT-12-ReachabilityCardinality-13 with value :(P_7_1>=2)
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-14 with value :(!(((P_5_5>=3)&&(P_4_11<=P_4_1))&&((P_5_8<=L_8)&&(cY_8>=3))))
Read [invariant] property : NQueens-PT-12-ReachabilityCardinality-15 with value :(!(((P_6_9>=3)&&(L_18<=R_6))&&(!(L_11>=1))))
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 144 rows 214 cols
invariant :P_1_2 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + P_4_3 + 2'P_4_4 + 3'P_4_5 + 3'P_4_6 + 3'P_4_7 + 3'P_4_8 + 3'P_4_9 + 2'P_4_10 + P_5_2 + 2'P_5_3 + 3'P_5_4 + 4'P_5_5 + 5'P_5_6 + 5'P_5_7 + 5'P_5_8 + 4'P_5_9 + 2'P_5_10 + P_6_2 + 2'P_6_3 + 4'P_6_4 + 5'P_6_5 + 6'P_6_6 + 7'P_6_7 + 6'P_6_8 + 4'P_6_9 + 2'P_6_10 + P_7_2 + 2'P_7_3 + 4'P_7_4 + 6'P_7_5 + 7'P_7_6 + 7'P_7_7 + 6'P_7_8 + 4'P_7_9 + 2'P_7_10 + P_8_2 + 2'P_8_3 + 4'P_8_4 + 6'P_8_5 + 7'P_8_6 + 6'P_8_7 + 5'P_8_8 + 4'P_8_9 + 2'P_8_10 + P_9_2 + 2'P_9_3 + 4'P_9_4 + 5'P_9_5 + 5'P_9_6 + 5'P_9_7 + 4'P_9_8 + 3'P_9_9 + 2'P_9_10 + P_10_2 + 2'P_10_3 + 3'P_10_4 + 3'P_10_5 + 3'P_10_6 + 3'P_10_7 + 3'P_10_8 + 2'P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + cX_3 + 3'cX_4 + 5'cX_5 + 7'cX_6 + 9'cX_7 + 11'cX_8 + 13'cX_9 + 15'cX_10 + 17'cX_11 + cY_2 + 2'cY_3 + 4'cY_4 + 6'cY_5 + 8'cY_6 + 10'cY_7 + 12'cY_8 + 14'cY_9 + 16'cY_10 + 18'cY_11 + -10'L_0 + -9'L_1 + -8'L_2 + -7'L_3 + -6'L_4 + -5'L_5 + -4'L_6 + -3'L_7 + -2'L_8 + -1'L_9 + -1'L_14 + -2'L_15 + -3'L_16 + -4'L_17 + -5'L_18 + -6'L_19 + -7'L_20 + -8'L_21 + -9'L_22 + -1'R_5 + -2'R_6 + -3'R_7 + -4'R_8 + -5'R_9 + -6'R_10 + -7'R_11 + -8'R_12 + -9'R_13 + -10'R_14 + -12'R_15 + -15'R_16 + -18'R_17 + -21'R_18 + -24'R_19 + -27'R_20 + -30'R_21 + -33'R_22 + -35'R_23 = -198
invariant :cX_0 + cX_3 + 3'cX_4 + 6'cX_5 + 10'cX_6 + 15'cX_7 + 21'cX_8 + 28'cX_9 + 36'cX_10 + 45'cX_11 + cY_2 + 3'cY_3 + 6'cY_4 + 10'cY_5 + 15'cY_6 + 21'cY_7 + 28'cY_8 + 36'cY_9 + 45'cY_10 + 55'cY_11 + -35'L_0 + -30'L_1 + -24'L_2 + -20'L_3 + -15'L_4 + -12'L_5 + -8'L_6 + -6'L_7 + -3'L_8 + -2'L_9 + L_12 + -2'L_15 + -3'L_16 + -6'L_17 + -8'L_18 + -12'L_19 + -15'L_20 + -20'L_21 + -24'L_22 + -1'R_1 + -1'R_2 + -1'R_4 + -1'R_5 + -3'R_6 + -4'R_7 + -7'R_8 + -9'R_9 + -13'R_10 + -16'R_11 + -21'R_12 + -25'R_13 + -31'R_14 + -36'R_15 + -43'R_16 + -49'R_17 + -57'R_18 + -64'R_19 + -73'R_20 + -81'R_21 + -91'R_22 + -100'R_23 = -585
invariant :P_0_9 + P_3_9 + P_4_8 + P_4_9 + P_4_10 + P_5_7 + P_5_8 + 2'P_5_9 + P_5_10 + P_6_6 + P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_5 + P_7_6 + 2'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_4 + P_8_5 + 2'P_8_6 + 2'P_8_7 + 2'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_2 + P_10_3 + 2'P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + P_10_10 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + -1'cX_11 + -1'cY_10 + -2'cY_11 + 2'L_0 + L_1 + L_2 + L_22 + R_13 + R_14 + 2'R_15 + 2'R_16 + 2'R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 2'R_22 + 3'R_23 = 22
invariant :P_10_0 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + -1'cX_11 + L_21 + L_22 + R_23 = 2
invariant :P_0_0 + R_1 = 1
invariant :P_11_1 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + cX_11 + -1'L_22 + -1'R_23 = -1
invariant :P_8_11 + P_9_10 + P_10_9 + P_11_8 + R_20 = 1
invariant :P_7_0 + -1'P_8_2 + -1'P_8_3 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_3 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_18 + L_19 + L_20 + L_21 + L_22 + R_20 + R_21 + R_22 + R_23 = 5
invariant :P_6_1 + P_6_2 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_2 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_10_5 + P_10_6 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -6
invariant :P_0_4 + P_3_4 + P_4_3 + P_4_4 + P_4_5 + P_5_2 + P_5_3 + 2'P_5_4 + P_5_5 + P_5_6 + P_6_3 + P_6_4 + P_6_5 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + P_7_4 + -1'P_7_7 + -1'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_6 + -1'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_5 + -1'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_5 + -2'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_17 + L_18 + 2'L_19 + 2'L_20 + 3'L_21 + 3'L_22 + R_8 + R_9 + 2'R_10 + 2'R_11 + 3'R_12 + 3'R_13 + 4'R_14 + 4'R_15 + 5'R_16 + 5'R_17 + 7'R_18 + 8'R_19 + 10'R_20 + 11'R_21 + 12'R_22 + 13'R_23 = 74
invariant :P_1_8 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_5 + -2'P_5_6 + -3'P_5_7 + -3'P_5_8 + -3'P_5_9 + -2'P_5_10 + -1'P_6_4 + -2'P_6_5 + -3'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -2'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -5'P_7_7 + -5'P_7_8 + -4'P_7_9 + -2'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -6'P_8_7 + -5'P_8_8 + -4'P_8_9 + -2'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -5'P_9_7 + -4'P_9_8 + -3'P_9_9 + -1'P_9_10 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -3'P_10_6 + -3'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + cX_9 + 3'cX_10 + 5'cX_11 + cY_8 + 2'cY_9 + 4'cY_10 + 6'cY_11 + -4'L_0 + -3'L_1 + -2'L_2 + -1'L_3 + -1'L_20 + -2'L_21 + -3'L_22 + -1'R_11 + -2'R_12 + -3'R_13 + -4'R_14 + -5'R_15 + -6'R_16 + -6'R_17 + -6'R_18 + -6'R_19 + -6'R_20 + -7'R_21 + -9'R_22 + -11'R_23 = -66
invariant :P_5_1 + P_5_2 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_5_9 + P_5_10 + P_6_2 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_9_5 + P_9_6 + -1'P_11_5 + -1'P_11_6 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -7
invariant :P_1_7 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -1'P_4_9 + -1'P_5_4 + -2'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -3'P_6_5 + -4'P_6_6 + -4'P_6_7 + -4'P_6_8 + -3'P_6_9 + -2'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -5'P_7_6 + -5'P_7_7 + -5'P_7_8 + -4'P_7_9 + -2'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -5'P_8_7 + -5'P_8_8 + -3'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -4'P_9_6 + -4'P_9_7 + -3'P_9_8 + -1'P_9_9 + -1'P_10_4 + -2'P_10_5 + -3'P_10_6 + -2'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + cX_8 + 3'cX_9 + 5'cX_10 + 7'cX_11 + cY_7 + 2'cY_8 + 4'cY_9 + 6'cY_10 + 8'cY_11 + -5'L_0 + -4'L_1 + -3'L_2 + -2'L_3 + -1'L_4 + -1'L_19 + -2'L_20 + -3'L_21 + -4'L_22 + -1'R_10 + -2'R_11 + -3'R_12 + -4'R_13 + -5'R_14 + -6'R_15 + -7'R_16 + -8'R_17 + -8'R_18 + -8'R_19 + -9'R_20 + -11'R_21 + -13'R_22 + -15'R_23 = -88
invariant :P_1_9 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_7 + -2'P_4_8 + -2'P_4_9 + -2'P_4_10 + -1'P_5_6 + -2'P_5_7 + -3'P_5_8 + -3'P_5_9 + -2'P_5_10 + -1'P_6_5 + -2'P_6_6 + -3'P_6_7 + -4'P_6_8 + -3'P_6_9 + -2'P_6_10 + -1'P_7_4 + -2'P_7_5 + -3'P_7_6 + -4'P_7_7 + -4'P_7_8 + -3'P_7_9 + -2'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -4'P_8_7 + -4'P_8_8 + -3'P_8_9 + -2'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -4'P_9_6 + -4'P_9_7 + -4'P_9_8 + -3'P_9_9 + -2'P_9_10 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -3'P_10_5 + -3'P_10_6 + -3'P_10_7 + -3'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + cX_10 + 3'cX_11 + cY_9 + 2'cY_10 + 4'cY_11 + -3'L_0 + -2'L_1 + -1'L_2 + -1'L_21 + -2'L_22 + -1'R_12 + -2'R_13 + -3'R_14 + -4'R_15 + -4'R_16 + -4'R_17 + -4'R_18 + -4'R_19 + -4'R_20 + -4'R_21 + -5'R_22 + -7'R_23 = -44
invariant :P_2_2 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_3 + -1'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_3 + -2'P_5_4 + -2'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -3'P_6_5 + -3'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -3'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -3'P_8_6 + -3'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -2'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_3 + -2'cY_4 + -3'cY_5 + -4'cY_6 + -5'cY_7 + -6'cY_8 + -7'cY_9 + -8'cY_10 + -9'cY_11 + 5'L_0 + 4'L_1 + 4'L_2 + 3'L_3 + 3'L_4 + 2'L_5 + 2'L_6 + L_7 + L_8 + L_14 + L_15 + 2'L_16 + 2'L_17 + 3'L_18 + 3'L_19 + 4'L_20 + 4'L_21 + 5'L_22 + R_5 + R_6 + 2'R_7 + 2'R_8 + 3'R_9 + 3'R_10 + 4'R_11 + 4'R_12 + 5'R_13 + 5'R_14 + 7'R_15 + 8'R_16 + 10'R_17 + 11'R_18 + 13'R_19 + 14'R_20 + 16'R_21 + 17'R_22 + 18'R_23 = 104
invariant :P_10_1 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + cX_10 + cX_11 + -1'L_21 + -1'L_22 + -1'R_22 + -1'R_23 = -2
invariant :cY_1 + 2'cY_2 + 3'cY_3 + 4'cY_4 + 5'cY_5 + 6'cY_6 + 7'cY_7 + 8'cY_8 + 9'cY_9 + 10'cY_10 + 11'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + L_12 + L_13 + 2'L_14 + 2'L_15 + 3'L_16 + 3'L_17 + 4'L_18 + 4'L_19 + 5'L_20 + 5'L_21 + 6'L_22 + -1'R_2 + -1'R_3 + -2'R_4 + -2'R_5 + -3'R_6 + -3'R_7 + -4'R_8 + -4'R_9 + -5'R_10 + -5'R_11 + -6'R_12 + -6'R_13 + -7'R_14 + -7'R_15 + -8'R_16 + -8'R_17 + -9'R_18 + -9'R_19 + -10'R_20 + -10'R_21 + -11'R_22 + -11'R_23 = -60
invariant :P_1_5 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -1'P_4_7 + -1'P_5_2 + -2'P_5_3 + -3'P_5_4 + -3'P_5_5 + -3'P_5_6 + -2'P_5_7 + -1'P_5_8 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -3'P_6_5 + -3'P_6_6 + -2'P_6_7 + -1'P_6_8 + P_6_10 + -1'P_7_3 + -2'P_7_4 + -2'P_7_5 + -2'P_7_6 + -1'P_7_7 + P_7_9 + P_7_10 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + P_8_8 + P_8_9 + P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + P_11_5 + P_11_6 + cX_6 + 3'cX_7 + 5'cX_8 + 7'cX_9 + 9'cX_10 + 11'cX_11 + cY_5 + 2'cY_6 + 4'cY_7 + 6'cY_8 + 8'cY_9 + 10'cY_10 + 12'cY_11 + -7'L_0 + -6'L_1 + -5'L_2 + -4'L_3 + -3'L_4 + -2'L_5 + -1'L_6 + -1'L_17 + -2'L_18 + -3'L_19 + -4'L_20 + -5'L_21 + -6'L_22 + -1'R_8 + -2'R_9 + -3'R_10 + -4'R_11 + -5'R_12 + -6'R_13 + -7'R_14 + -8'R_15 + -9'R_16 + -10'R_17 + -12'R_18 + -15'R_19 + -17'R_20 + -19'R_21 + -21'R_22 + -23'R_23 = -132
invariant :P_9_0 + -1'P_10_2 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_10 + -1'cX_11 + L_20 + L_21 + L_22 + R_22 + R_23 = 3
invariant :P_4_1 + P_4_2 + P_4_3 + P_4_4 + P_4_5 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_4_10 + P_5_2 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_5_9 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_8_5 + P_8_6 + -1'P_10_5 + -1'P_10_6 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_15 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -8
invariant :P_2_4 + P_3_3 + P_3_4 + P_3_5 + P_4_2 + P_4_3 + 2'P_4_4 + P_4_5 + P_4_6 + P_5_3 + P_5_4 + P_5_5 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + P_6_4 + -1'P_6_7 + -1'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_6 + -1'P_7_7 + -2'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_5 + -1'P_8_6 + -2'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_9_5 + -2'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_16 + L_17 + 2'L_18 + 2'L_19 + 3'L_20 + 3'L_21 + 4'L_22 + R_7 + R_8 + 2'R_9 + 2'R_10 + 3'R_11 + 3'R_12 + 4'R_13 + 4'R_14 + 5'R_15 + 5'R_16 + 7'R_17 + 8'R_18 + 10'R_19 + 11'R_20 + 12'R_21 + 13'R_22 + 14'R_23 = 81
invariant :P_2_7 + P_3_6 + P_3_7 + P_3_8 + P_4_5 + P_4_6 + 2'P_4_7 + P_4_8 + P_4_9 + P_5_4 + P_5_5 + 2'P_5_6 + 2'P_5_7 + 2'P_5_8 + P_5_9 + P_5_10 + P_6_3 + P_6_4 + 2'P_6_5 + 2'P_6_6 + 3'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_2 + P_7_3 + 2'P_7_4 + 2'P_7_5 + 3'P_7_6 + 3'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 2'P_8_8 + P_8_9 + P_9_4 + P_9_5 + 2'P_9_6 + 2'P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_19 + L_20 + 2'L_21 + 2'L_22 + R_10 + R_11 + 2'R_12 + 2'R_13 + 3'R_14 + 3'R_15 + 4'R_16 + 4'R_17 + 4'R_18 + 4'R_19 + 5'R_20 + 6'R_21 + 7'R_22 + 8'R_23 = 46
invariant :P_6_11 + P_7_10 + P_8_9 + P_9_8 + P_10_7 + P_11_6 + R_18 = 1
invariant :P_2_6 + P_3_5 + P_3_6 + P_3_7 + P_4_4 + P_4_5 + 2'P_4_6 + P_4_7 + P_4_8 + P_5_3 + P_5_4 + 2'P_5_5 + 2'P_5_6 + 2'P_5_7 + P_5_8 + P_5_9 + P_6_2 + P_6_3 + 2'P_6_4 + 2'P_6_5 + 3'P_6_6 + 2'P_6_7 + 2'P_6_8 + P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 2'P_7_7 + P_7_8 + P_7_9 + P_8_4 + P_8_5 + 2'P_8_6 + P_8_7 + P_8_8 + P_9_5 + P_9_6 + P_9_7 + P_10_6 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + R_9 + R_10 + 2'R_11 + 2'R_12 + 3'R_13 + 3'R_14 + 4'R_15 + 4'R_16 + 5'R_17 + 5'R_18 + 6'R_19 + 7'R_20 + 8'R_21 + 9'R_22 + 10'R_23 = 58
invariant :P_1_10 + -1'P_3_9 + -1'P_3_10 + -1'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_6 + -2'P_6_7 + -2'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_5 + -2'P_7_6 + -2'P_7_7 + -2'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -2'P_8_6 + -2'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + cX_11 + cY_10 + 2'cY_11 + -2'L_0 + -1'L_1 + -1'L_22 + -1'R_13 + -2'R_14 + -2'R_15 + -2'R_16 + -2'R_17 + -2'R_18 + -2'R_19 + -2'R_20 + -2'R_21 + -2'R_22 + -3'R_23 = -22
invariant :L_0 + L_2 + L_4 + L_6 + L_8 + L_10 + L_12 + L_14 + L_16 + L_18 + L_20 + L_22 + -1'R_2 + -1'R_4 + -1'R_6 + -1'R_8 + -1'R_10 + -1'R_12 + -1'R_14 + -1'R_16 + -1'R_18 + -1'R_20 + -1'R_22 = 1
invariant :P_2_5 + P_3_4 + P_3_5 + P_3_6 + P_4_3 + P_4_4 + 2'P_4_5 + P_4_6 + P_4_7 + P_5_2 + P_5_3 + 2'P_5_4 + 2'P_5_5 + 2'P_5_6 + P_5_7 + P_5_8 + P_6_3 + P_6_4 + 2'P_6_5 + P_6_6 + P_6_7 + -1'P_6_10 + P_7_4 + P_7_5 + P_7_6 + -1'P_7_9 + P_8_5 + -1'P_8_8 + -1'P_9_7 + -1'P_10_6 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_17 + L_18 + 2'L_19 + 2'L_20 + 3'L_21 + 3'L_22 + R_8 + R_9 + 2'R_10 + 2'R_11 + 3'R_12 + 3'R_13 + 4'R_14 + 4'R_15 + 5'R_16 + 5'R_17 + 7'R_18 + 8'R_19 + 9'R_20 + 10'R_21 + 11'R_22 + 12'R_23 = 69
invariant :P_2_8 + P_3_7 + P_3_8 + P_3_9 + P_4_6 + P_4_7 + 2'P_4_8 + P_4_9 + P_4_10 + P_5_5 + P_5_6 + 2'P_5_7 + 2'P_5_8 + 2'P_5_9 + P_5_10 + P_6_4 + P_6_5 + 2'P_6_6 + 2'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 3'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + P_8_3 + 2'P_8_4 + 2'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -1'cY_9 + -2'cY_10 + -3'cY_11 + 2'L_0 + L_1 + L_2 + L_20 + L_21 + 2'L_22 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 3'R_17 + 3'R_18 + 3'R_19 + 3'R_20 + 4'R_21 + 5'R_22 + 6'R_23 = 35
invariant :P_2_0 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_3 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_7_6 + P_8_6 + P_9_5 + P_9_6 + P_9_7 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + -1'cX_3 + -1'cX_4 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_13 + L_14 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 10
invariant :P_0_7 + P_3_7 + P_4_6 + P_4_7 + P_4_8 + P_5_5 + P_5_6 + 2'P_5_7 + P_5_8 + P_5_9 + P_6_4 + P_6_5 + 2'P_6_6 + 2'P_6_7 + 2'P_6_8 + P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 3'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + P_8_3 + 2'P_8_4 + 2'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + P_10_8 + P_11_5 + P_11_6 + P_11_7 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_20 + L_21 + 2'L_22 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 4'R_17 + 4'R_18 + 4'R_19 + 4'R_20 + 5'R_21 + 6'R_22 + 7'R_23 = 43
invariant :P_2_11 + P_3_10 + P_4_9 + P_5_8 + P_6_7 + P_7_6 + P_8_5 + P_9_4 + P_10_3 + P_11_2 + R_14 = 1
invariant :P_0_8 + P_3_8 + P_4_7 + P_4_8 + P_4_9 + P_5_6 + P_5_7 + 2'P_5_8 + P_5_9 + P_5_10 + P_6_5 + P_6_6 + 2'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + P_10_9 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + -1'cX_10 + -2'cX_11 + -1'cY_9 + -2'cY_10 + -3'cY_11 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_21 + L_22 + R_12 + R_13 + 2'R_14 + 2'R_15 + 3'R_16 + 3'R_17 + 3'R_18 + 3'R_19 + 3'R_20 + 3'R_21 + 4'R_22 + 5'R_23 = 32
invariant :P_0_10 + P_3_10 + P_4_9 + P_4_10 + P_5_8 + P_5_9 + P_5_10 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + -1'cY_11 + L_0 + L_1 + R_14 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 11
invariant :P_3_1 + P_3_2 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + P_4_3 + P_4_4 + P_4_5 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_7_5 + P_7_6 + -1'P_9_5 + -1'P_9_6 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + cX_3 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_14 + -1'L_15 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_15 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -9
invariant :P_2_10 + P_3_9 + P_3_10 + P_4_8 + P_4_9 + P_4_10 + P_5_7 + P_5_8 + P_5_9 + P_5_10 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + -1'cX_11 + -1'cY_11 + L_0 + L_22 + R_13 + R_14 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + 2'R_23 = 12
invariant :P_11_0 + L_22 = 1
invariant :P_11_11 + R_23 = 1
invariant :P_1_11 + -1'P_3_10 + -1'P_4_9 + -1'P_4_10 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + cY_11 + -1'L_0 + -1'R_14 + -1'R_15 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -10
invariant :P_0_6 + P_3_6 + P_4_5 + P_4_6 + P_4_7 + P_5_4 + P_5_5 + 2'P_5_6 + P_5_7 + P_5_8 + P_6_3 + P_6_4 + 2'P_6_5 + 2'P_6_6 + 2'P_6_7 + P_6_8 + P_6_9 + P_7_2 + P_7_3 + 2'P_7_4 + 2'P_7_5 + 3'P_7_6 + 2'P_7_7 + 2'P_7_8 + P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 2'P_8_7 + P_8_8 + P_8_9 + P_9_4 + P_9_5 + 2'P_9_6 + P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + P_11_6 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_19 + L_20 + 2'L_21 + 2'L_22 + R_10 + R_11 + 2'R_12 + 2'R_13 + 3'R_14 + 3'R_15 + 4'R_16 + 4'R_17 + 5'R_18 + 5'R_19 + 6'R_20 + 7'R_21 + 8'R_22 + 9'R_23 = 53
invariant :P_4_0 + -1'P_5_2 + -1'P_5_3 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_9_6 + P_10_6 + P_11_5 + P_11_6 + P_11_7 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 8
invariant :P_3_11 + P_4_10 + P_5_9 + P_6_8 + P_7_7 + P_8_6 + P_9_5 + P_10_4 + P_11_3 + R_15 = 1
invariant :cX_2 + 3'cX_3 + 6'cX_4 + 10'cX_5 + 15'cX_6 + 21'cX_7 + 28'cX_8 + 36'cX_9 + 45'cX_10 + 55'cX_11 + cY_2 + 3'cY_3 + 6'cY_4 + 10'cY_5 + 15'cY_6 + 21'cY_7 + 28'cY_8 + 36'cY_9 + 45'cY_10 + 55'cY_11 + -30'L_0 + -25'L_1 + -20'L_2 + -16'L_3 + -12'L_4 + -9'L_5 + -6'L_6 + -4'L_7 + -2'L_8 + -1'L_9 + -1'L_13 + -2'L_14 + -4'L_15 + -6'L_16 + -9'L_17 + -12'L_18 + -16'L_19 + -20'L_20 + -25'L_21 + -30'L_22 + -1'R_4 + -2'R_5 + -4'R_6 + -6'R_7 + -9'R_8 + -12'R_9 + -16'R_10 + -20'R_11 + -25'R_12 + -30'R_13 + -36'R_14 + -42'R_15 + -49'R_16 + -56'R_17 + -64'R_18 + -72'R_19 + -81'R_20 + -90'R_21 + -100'R_22 + -110'R_23 = -635
invariant :P_7_1 + P_7_2 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_2 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_11_5 + P_11_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -5
invariant :P_8_0 + -1'P_9_2 + -1'P_9_3 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_19 + L_20 + L_21 + L_22 + R_21 + R_22 + R_23 = 4
invariant :P_10_11 + P_11_10 + R_22 = 1
invariant :P_2_9 + P_3_8 + P_3_9 + P_3_10 + P_4_7 + P_4_8 + 2'P_4_9 + P_4_10 + P_5_6 + P_5_7 + 2'P_5_8 + 2'P_5_9 + P_5_10 + P_6_5 + P_6_6 + 2'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 2'P_8_7 + 2'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + -1'cX_10 + -2'cX_11 + -1'cY_10 + -2'cY_11 + L_0 + L_1 + L_21 + L_22 + R_12 + R_13 + 2'R_14 + 2'R_15 + 2'R_16 + 2'R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 3'R_22 + 4'R_23 = 23
invariant :cX_1 + -3'cX_3 + -8'cX_4 + -15'cX_5 + -24'cX_6 + -35'cX_7 + -48'cX_8 + -63'cX_9 + -80'cX_10 + -99'cX_11 + -2'cY_2 + -6'cY_3 + -12'cY_4 + -20'cY_5 + -30'cY_6 + -42'cY_7 + -56'cY_8 + -72'cY_9 + -90'cY_10 + -110'cY_11 + 65'L_0 + 55'L_1 + 44'L_2 + 36'L_3 + 27'L_4 + 21'L_5 + 14'L_6 + 10'L_7 + 5'L_8 + 3'L_9 + -1'L_12 + L_13 + 2'L_14 + 6'L_15 + 9'L_16 + 15'L_17 + 20'L_18 + 28'L_19 + 35'L_20 + 45'L_21 + 54'L_22 + -1'R_3 + R_4 + 2'R_5 + 6'R_6 + 9'R_7 + 15'R_8 + 20'R_9 + 28'R_10 + 35'R_11 + 45'R_12 + 54'R_13 + 66'R_14 + 77'R_15 + 91'R_16 + 104'R_17 + 120'R_18 + 135'R_19 + 153'R_20 + 170'R_21 + 190'R_22 + 209'R_23 = 1209
invariant :P_0_1 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_2 + -2'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_2 + -2'P_5_3 + -3'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -4'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -5'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -4'P_8_6 + -4'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -3'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + -1'L_12 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_2 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 7'R_15 + 9'R_16 + 10'R_17 + 12'R_18 + 13'R_19 + 15'R_20 + 16'R_21 + 18'R_22 + 19'R_23 = 105
invariant :P_6_0 + -1'P_7_2 + -1'P_7_3 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_3 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_11_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_19 + R_20 + R_21 + R_22 + R_23 = 6
invariant :P_1_0 + P_3_2 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + 2'P_4_3 + 2'P_4_4 + 2'P_4_5 + 2'P_4_6 + 2'P_4_7 + 2'P_4_8 + 2'P_4_9 + P_4_10 + P_5_2 + 2'P_5_3 + 3'P_5_4 + 3'P_5_5 + 3'P_5_6 + 3'P_5_7 + 3'P_5_8 + 2'P_5_9 + P_5_10 + P_6_2 + 2'P_6_3 + 3'P_6_4 + 4'P_6_5 + 4'P_6_6 + 4'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_2 + 2'P_7_3 + 3'P_7_4 + 4'P_7_5 + 5'P_7_6 + 4'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + 2'P_8_3 + 3'P_8_4 + 4'P_8_5 + 4'P_8_6 + 4'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + 2'P_9_3 + 3'P_9_4 + 3'P_9_5 + 3'P_9_6 + 3'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_2 + 2'P_10_3 + 2'P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + cX_3 + 2'cX_4 + 3'cX_5 + 4'cX_6 + 5'cX_7 + 6'cX_8 + 7'cX_9 + 8'cX_10 + 9'cX_11 + cY_2 + 2'cY_3 + 3'cY_4 + 4'cY_5 + 5'cY_6 + 6'cY_7 + 7'cY_8 + 8'cY_9 + 9'cY_10 + 10'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + L_12 + -1'L_15 + -1'L_16 + -2'L_17 + -2'L_18 + -3'L_19 + -3'L_20 + -4'L_21 + -4'L_22 + -1'R_4 + -1'R_5 + -2'R_6 + -2'R_7 + -3'R_8 + -3'R_9 + -4'R_10 + -4'R_11 + -5'R_12 + -5'R_13 + -6'R_14 + -7'R_15 + -9'R_16 + -10'R_17 + -12'R_18 + -13'R_19 + -15'R_20 + -16'R_21 + -18'R_22 + -19'R_23 = -104
invariant :P_7_11 + P_8_10 + P_9_9 + P_10_8 + P_11_7 + R_19 = 1
invariant :P_4_11 + P_5_10 + P_6_9 + P_7_8 + P_8_7 + P_9_6 + P_10_5 + P_11_4 + R_16 = 1
invariant :P_0_2 + P_3_2 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_3 + -1'P_5_4 + -2'P_5_5 + -2'P_5_6 + -2'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -2'P_6_5 + -3'P_6_6 + -3'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -3'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -3'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -1'cY_3 + -2'cY_4 + -3'cY_5 + -4'cY_6 + -5'cY_7 + -6'cY_8 + -7'cY_9 + -8'cY_10 + -9'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_6 + R_7 + 2'R_8 + 2'R_9 + 3'R_10 + 3'R_11 + 4'R_12 + 4'R_13 + 5'R_14 + 5'R_15 + 7'R_16 + 8'R_17 + 10'R_18 + 11'R_19 + 13'R_20 + 14'R_21 + 16'R_22 + 17'R_23 = 95
invariant :P_5_0 + -1'P_6_2 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + -1'P_7_3 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_10_6 + P_11_6 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 7
invariant :P_0_5 + P_3_5 + P_4_4 + P_4_5 + P_4_6 + P_5_3 + P_5_4 + 2'P_5_5 + P_5_6 + P_5_7 + P_6_2 + P_6_3 + 2'P_6_4 + 2'P_6_5 + 2'P_6_6 + P_6_7 + P_6_8 + P_7_3 + P_7_4 + 2'P_7_5 + P_7_6 + P_7_7 + -1'P_7_10 + P_8_4 + P_8_5 + P_8_6 + -1'P_8_9 + P_9_5 + -1'P_9_8 + -1'P_10_7 + -1'P_11_6 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + R_9 + R_10 + 2'R_11 + 2'R_12 + 3'R_13 + 3'R_14 + 4'R_15 + 4'R_16 + 5'R_17 + 5'R_18 + 7'R_19 + 8'R_20 + 9'R_21 + 10'R_22 + 11'R_23 = 64
invariant :P_0_11 + L_0 = 1
invariant :P_2_1 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_2 + -1'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_2 + -2'P_5_3 + -2'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -3'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -4'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -4'P_8_6 + -3'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 7'R_15 + 9'R_16 + 10'R_17 + 12'R_18 + 13'R_19 + 15'R_20 + 16'R_21 + 18'R_22 + 19'R_23 = 105
invariant :cY_0 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + -1'L_12 + -1'L_13 + -2'L_14 + -2'L_15 + -3'L_16 + -3'L_17 + -4'L_18 + -4'L_19 + -5'L_20 + -5'L_21 + -6'L_22 + -1'R_1 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 6'R_15 + 7'R_16 + 7'R_17 + 8'R_18 + 8'R_19 + 9'R_20 + 9'R_21 + 10'R_22 + 10'R_23 = 49
invariant :P_1_3 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_4_2 + -1'P_4_3 + -1'P_4_4 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_4_10 + P_5_5 + 2'P_5_6 + 3'P_5_7 + 3'P_5_8 + 3'P_5_9 + 2'P_5_10 + P_6_3 + P_6_4 + 2'P_6_5 + 3'P_6_6 + 4'P_6_7 + 5'P_6_8 + 4'P_6_9 + 2'P_6_10 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 5'P_7_7 + 5'P_7_8 + 4'P_7_9 + 2'P_7_10 + P_8_3 + 2'P_8_4 + 4'P_8_5 + 5'P_8_6 + 5'P_8_7 + 4'P_8_8 + 3'P_8_9 + 2'P_8_10 + P_9_3 + 2'P_9_4 + 4'P_9_5 + 5'P_9_6 + 4'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + 2'P_10_4 + 3'P_10_5 + 3'P_10_6 + 3'P_10_7 + 2'P_10_8 + P_10_9 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + cX_4 + 3'cX_5 + 5'cX_6 + 7'cX_7 + 9'cX_8 + 11'cX_9 + 13'cX_10 + 15'cX_11 + cY_3 + 2'cY_4 + 4'cY_5 + 6'cY_6 + 8'cY_7 + 10'cY_8 + 12'cY_9 + 14'cY_10 + 16'cY_11 + -9'L_0 + -8'L_1 + -7'L_2 + -6'L_3 + -5'L_4 + -4'L_5 + -3'L_6 + -2'L_7 + -1'L_8 + -1'L_15 + -2'L_16 + -3'L_17 + -4'L_18 + -5'L_19 + -6'L_20 + -7'L_21 + -8'L_22 + -1'R_6 + -2'R_7 + -3'R_8 + -4'R_9 + -5'R_10 + -6'R_11 + -7'R_12 + -8'R_13 + -9'R_14 + -10'R_15 + -12'R_16 + -15'R_17 + -18'R_18 + -21'R_19 + -24'R_20 + -27'R_21 + -29'R_22 + -31'R_23 = -176
invariant :P_9_11 + P_10_10 + P_11_9 + R_21 = 1
invariant :P_3_0 + -1'P_4_2 + -1'P_4_3 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_3 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_8_6 + P_9_6 + P_10_5 + P_10_6 + P_10_7 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + -1'cX_4 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_14 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 9
invariant :P_1_1 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_3 + 2'P_4_4 + 2'P_4_5 + 2'P_4_6 + 2'P_4_7 + 2'P_4_8 + 2'P_4_9 + P_4_10 + P_5_3 + 2'P_5_4 + 3'P_5_5 + 3'P_5_6 + 3'P_5_7 + 3'P_5_8 + 2'P_5_9 + P_5_10 + P_6_3 + 2'P_6_4 + 3'P_6_5 + 4'P_6_6 + 4'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 4'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + 2'P_8_4 + 3'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + cX_3 + 2'cX_4 + 3'cX_5 + 4'cX_6 + 5'cX_7 + 6'cX_8 + 7'cX_9 + 8'cX_10 + 9'cX_11 + cY_3 + 2'cY_4 + 3'cY_5 + 4'cY_6 + 5'cY_7 + 6'cY_8 + 7'cY_9 + 8'cY_10 + 9'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + -1'L_13 + -1'L_14 + -2'L_15 + -2'L_16 + -3'L_17 + -3'L_18 + -4'L_19 + -4'L_20 + -5'L_21 + -5'L_22 + R_3 + -1'R_6 + -1'R_7 + -2'R_8 + -2'R_9 + -3'R_10 + -3'R_11 + -4'R_12 + -4'R_13 + -5'R_14 + -6'R_15 + -8'R_16 + -9'R_17 + -11'R_18 + -12'R_19 + -14'R_20 + -15'R_21 + -17'R_22 + -18'R_23 = -104
invariant :P_0_3 + P_3_3 + P_4_2 + P_4_3 + P_4_4 + P_5_3 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_5 + -1'P_6_6 + -2'P_6_7 + -2'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_4 + -1'P_7_5 + -2'P_7_6 + -2'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -2'P_8_6 + -3'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_4 + -2'P_9_5 + -3'P_9_6 + -2'P_9_7 + -2'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + 5'L_0 + 4'L_1 + 4'L_2 + 3'L_3 + 3'L_4 + 2'L_5 + 2'L_6 + L_7 + L_8 + L_16 + L_17 + 2'L_18 + 2'L_19 + 3'L_20 + 3'L_21 + 4'L_22 + R_7 + R_8 + 2'R_9 + 2'R_10 + 3'R_11 + 3'R_12 + 4'R_13 + 4'R_14 + 5'R_15 + 5'R_16 + 7'R_17 + 8'R_18 + 10'R_19 + 11'R_20 + 13'R_21 + 14'R_22 + 15'R_23 = 85
invariant :L_1 + L_3 + L_5 + L_7 + L_9 + L_11 + L_13 + L_15 + L_17 + L_19 + L_21 + -1'R_1 + -1'R_3 + -1'R_5 + -1'R_7 + -1'R_9 + -1'R_11 + -1'R_13 + -1'R_15 + -1'R_17 + -1'R_19 + -1'R_21 + -1'R_23 = -1
invariant :P_9_1 + P_9_2 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + cX_9 + cX_10 + cX_11 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_21 + -1'R_22 + -1'R_23 = -3
invariant :P_1_4 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_4_2 + -2'P_4_3 + -2'P_4_4 + -2'P_4_5 + -1'P_4_6 + -1'P_5_2 + -2'P_5_3 + -2'P_5_4 + -2'P_5_5 + -1'P_5_6 + P_5_8 + P_5_9 + P_5_10 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + P_6_7 + 2'P_6_8 + 3'P_6_9 + 2'P_6_10 + P_7_6 + 2'P_7_7 + 3'P_7_8 + 3'P_7_9 + 2'P_7_10 + P_8_4 + P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + 2'P_10_5 + 3'P_10_6 + 2'P_10_7 + P_10_8 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + cX_5 + 3'cX_6 + 5'cX_7 + 7'cX_8 + 9'cX_9 + 11'cX_10 + 13'cX_11 + cY_4 + 2'cY_5 + 4'cY_6 + 6'cY_7 + 8'cY_8 + 10'cY_9 + 12'cY_10 + 14'cY_11 + -8'L_0 + -7'L_1 + -6'L_2 + -5'L_3 + -4'L_4 + -3'L_5 + -2'L_6 + -1'L_7 + -1'L_16 + -2'L_17 + -3'L_18 + -4'L_19 + -5'L_20 + -6'L_21 + -7'L_22 + -1'R_7 + -2'R_8 + -3'R_9 + -4'R_10 + -5'R_11 + -6'R_12 + -7'R_13 + -8'R_14 + -9'R_15 + -10'R_16 + -12'R_17 + -15'R_18 + -18'R_19 + -21'R_20 + -23'R_21 + -25'R_22 + -27'R_23 = -154
invariant :P_1_6 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -1'P_4_8 + -1'P_5_3 + -2'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -2'P_5_8 + -1'P_5_9 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -4'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -4'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -3'P_8_6 + -3'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + cX_7 + 3'cX_8 + 5'cX_9 + 7'cX_10 + 9'cX_11 + cY_6 + 2'cY_7 + 4'cY_8 + 6'cY_9 + 8'cY_10 + 10'cY_11 + -6'L_0 + -5'L_1 + -4'L_2 + -3'L_3 + -2'L_4 + -1'L_5 + -1'L_18 + -2'L_19 + -3'L_20 + -4'L_21 + -5'L_22 + -1'R_9 + -2'R_10 + -3'R_11 + -4'R_12 + -5'R_13 + -6'R_14 + -7'R_15 + -8'R_16 + -9'R_17 + -10'R_18 + -11'R_19 + -13'R_20 + -15'R_21 + -17'R_22 + -19'R_23 = -110
invariant :P_2_3 + P_3_2 + P_3_3 + P_3_4 + P_4_3 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_5 + -1'P_5_6 + -2'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_4 + -1'P_6_5 + -2'P_6_6 + -2'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_4 + -2'P_7_5 + -2'P_7_6 + -3'P_7_7 + -2'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -3'P_8_6 + -2'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_6 + R_7 + 2'R_8 + 2'R_9 + 3'R_10 + 3'R_11 + 4'R_12 + 4'R_13 + 5'R_14 + 5'R_15 + 7'R_16 + 8'R_17 + 10'R_18 + 11'R_19 + 13'R_20 + 14'R_21 + 15'R_22 + 16'R_23 = 92
invariant :P_8_1 + P_8_2 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_2 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -4
invariant :P_5_11 + P_6_10 + P_7_9 + P_8_8 + P_9_7 + P_10_6 + P_11_5 + R_17 = 1
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 144 rows 214 cols
invariant :P_1_2 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + P_4_3 + 2'P_4_4 + 3'P_4_5 + 3'P_4_6 + 3'P_4_7 + 3'P_4_8 + 3'P_4_9 + 2'P_4_10 + P_5_2 + 2'P_5_3 + 3'P_5_4 + 4'P_5_5 + 5'P_5_6 + 5'P_5_7 + 5'P_5_8 + 4'P_5_9 + 2'P_5_10 + P_6_2 + 2'P_6_3 + 4'P_6_4 + 5'P_6_5 + 6'P_6_6 + 7'P_6_7 + 6'P_6_8 + 4'P_6_9 + 2'P_6_10 + P_7_2 + 2'P_7_3 + 4'P_7_4 + 6'P_7_5 + 7'P_7_6 + 7'P_7_7 + 6'P_7_8 + 4'P_7_9 + 2'P_7_10 + P_8_2 + 2'P_8_3 + 4'P_8_4 + 6'P_8_5 + 7'P_8_6 + 6'P_8_7 + 5'P_8_8 + 4'P_8_9 + 2'P_8_10 + P_9_2 + 2'P_9_3 + 4'P_9_4 + 5'P_9_5 + 5'P_9_6 + 5'P_9_7 + 4'P_9_8 + 3'P_9_9 + 2'P_9_10 + P_10_2 + 2'P_10_3 + 3'P_10_4 + 3'P_10_5 + 3'P_10_6 + 3'P_10_7 + 3'P_10_8 + 2'P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + cX_3 + 3'cX_4 + 5'cX_5 + 7'cX_6 + 9'cX_7 + 11'cX_8 + 13'cX_9 + 15'cX_10 + 17'cX_11 + cY_2 + 2'cY_3 + 4'cY_4 + 6'cY_5 + 8'cY_6 + 10'cY_7 + 12'cY_8 + 14'cY_9 + 16'cY_10 + 18'cY_11 + -10'L_0 + -9'L_1 + -8'L_2 + -7'L_3 + -6'L_4 + -5'L_5 + -4'L_6 + -3'L_7 + -2'L_8 + -1'L_9 + -1'L_14 + -2'L_15 + -3'L_16 + -4'L_17 + -5'L_18 + -6'L_19 + -7'L_20 + -8'L_21 + -9'L_22 + -1'R_5 + -2'R_6 + -3'R_7 + -4'R_8 + -5'R_9 + -6'R_10 + -7'R_11 + -8'R_12 + -9'R_13 + -10'R_14 + -12'R_15 + -15'R_16 + -18'R_17 + -21'R_18 + -24'R_19 + -27'R_20 + -30'R_21 + -33'R_22 + -35'R_23 = -198
invariant :cX_0 + cX_3 + 3'cX_4 + 6'cX_5 + 10'cX_6 + 15'cX_7 + 21'cX_8 + 28'cX_9 + 36'cX_10 + 45'cX_11 + cY_2 + 3'cY_3 + 6'cY_4 + 10'cY_5 + 15'cY_6 + 21'cY_7 + 28'cY_8 + 36'cY_9 + 45'cY_10 + 55'cY_11 + -35'L_0 + -30'L_1 + -24'L_2 + -20'L_3 + -15'L_4 + -12'L_5 + -8'L_6 + -6'L_7 + -3'L_8 + -2'L_9 + L_12 + -2'L_15 + -3'L_16 + -6'L_17 + -8'L_18 + -12'L_19 + -15'L_20 + -20'L_21 + -24'L_22 + -1'R_1 + -1'R_2 + -1'R_4 + -1'R_5 + -3'R_6 + -4'R_7 + -7'R_8 + -9'R_9 + -13'R_10 + -16'R_11 + -21'R_12 + -25'R_13 + -31'R_14 + -36'R_15 + -43'R_16 + -49'R_17 + -57'R_18 + -64'R_19 + -73'R_20 + -81'R_21 + -91'R_22 + -100'R_23 = -585
invariant :P_0_9 + P_3_9 + P_4_8 + P_4_9 + P_4_10 + P_5_7 + P_5_8 + 2'P_5_9 + P_5_10 + P_6_6 + P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_5 + P_7_6 + 2'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_4 + P_8_5 + 2'P_8_6 + 2'P_8_7 + 2'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_2 + P_10_3 + 2'P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + P_10_10 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + -1'cX_11 + -1'cY_10 + -2'cY_11 + 2'L_0 + L_1 + L_2 + L_22 + R_13 + R_14 + 2'R_15 + 2'R_16 + 2'R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 2'R_22 + 3'R_23 = 22
invariant :P_10_0 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + -1'cX_11 + L_21 + L_22 + R_23 = 2
invariant :P_0_0 + R_1 = 1
invariant :P_11_1 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + cX_11 + -1'L_22 + -1'R_23 = -1
invariant :P_8_11 + P_9_10 + P_10_9 + P_11_8 + R_20 = 1
invariant :P_7_0 + -1'P_8_2 + -1'P_8_3 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_3 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_18 + L_19 + L_20 + L_21 + L_22 + R_20 + R_21 + R_22 + R_23 = 5
invariant :P_6_1 + P_6_2 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_2 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_10_5 + P_10_6 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -6
invariant :P_0_4 + P_3_4 + P_4_3 + P_4_4 + P_4_5 + P_5_2 + P_5_3 + 2'P_5_4 + P_5_5 + P_5_6 + P_6_3 + P_6_4 + P_6_5 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + P_7_4 + -1'P_7_7 + -1'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_6 + -1'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_5 + -1'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_5 + -2'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_17 + L_18 + 2'L_19 + 2'L_20 + 3'L_21 + 3'L_22 + R_8 + R_9 + 2'R_10 + 2'R_11 + 3'R_12 + 3'R_13 + 4'R_14 + 4'R_15 + 5'R_16 + 5'R_17 + 7'R_18 + 8'R_19 + 10'R_20 + 11'R_21 + 12'R_22 + 13'R_23 = 74
invariant :P_1_8 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_5 + -2'P_5_6 + -3'P_5_7 + -3'P_5_8 + -3'P_5_9 + -2'P_5_10 + -1'P_6_4 + -2'P_6_5 + -3'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -2'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -5'P_7_7 + -5'P_7_8 + -4'P_7_9 + -2'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -6'P_8_7 + -5'P_8_8 + -4'P_8_9 + -2'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -5'P_9_7 + -4'P_9_8 + -3'P_9_9 + -1'P_9_10 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -3'P_10_6 + -3'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + cX_9 + 3'cX_10 + 5'cX_11 + cY_8 + 2'cY_9 + 4'cY_10 + 6'cY_11 + -4'L_0 + -3'L_1 + -2'L_2 + -1'L_3 + -1'L_20 + -2'L_21 + -3'L_22 + -1'R_11 + -2'R_12 + -3'R_13 + -4'R_14 + -5'R_15 + -6'R_16 + -6'R_17 + -6'R_18 + -6'R_19 + -6'R_20 + -7'R_21 + -9'R_22 + -11'R_23 = -66
invariant :P_5_1 + P_5_2 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_5_9 + P_5_10 + P_6_2 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_9_5 + P_9_6 + -1'P_11_5 + -1'P_11_6 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -7
invariant :P_1_7 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -1'P_4_9 + -1'P_5_4 + -2'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -3'P_6_5 + -4'P_6_6 + -4'P_6_7 + -4'P_6_8 + -3'P_6_9 + -2'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -5'P_7_6 + -5'P_7_7 + -5'P_7_8 + -4'P_7_9 + -2'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -5'P_8_7 + -5'P_8_8 + -3'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -4'P_9_6 + -4'P_9_7 + -3'P_9_8 + -1'P_9_9 + -1'P_10_4 + -2'P_10_5 + -3'P_10_6 + -2'P_10_7 + -1'P_10_8 + -1'P_11_5 + -1'P_11_6 + cX_8 + 3'cX_9 + 5'cX_10 + 7'cX_11 + cY_7 + 2'cY_8 + 4'cY_9 + 6'cY_10 + 8'cY_11 + -5'L_0 + -4'L_1 + -3'L_2 + -2'L_3 + -1'L_4 + -1'L_19 + -2'L_20 + -3'L_21 + -4'L_22 + -1'R_10 + -2'R_11 + -3'R_12 + -4'R_13 + -5'R_14 + -6'R_15 + -7'R_16 + -8'R_17 + -8'R_18 + -8'R_19 + -9'R_20 + -11'R_21 + -13'R_22 + -15'R_23 = -88
invariant :P_1_9 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_7 + -2'P_4_8 + -2'P_4_9 + -2'P_4_10 + -1'P_5_6 + -2'P_5_7 + -3'P_5_8 + -3'P_5_9 + -2'P_5_10 + -1'P_6_5 + -2'P_6_6 + -3'P_6_7 + -4'P_6_8 + -3'P_6_9 + -2'P_6_10 + -1'P_7_4 + -2'P_7_5 + -3'P_7_6 + -4'P_7_7 + -4'P_7_8 + -3'P_7_9 + -2'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -4'P_8_7 + -4'P_8_8 + -3'P_8_9 + -2'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -4'P_9_6 + -4'P_9_7 + -4'P_9_8 + -3'P_9_9 + -2'P_9_10 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -3'P_10_5 + -3'P_10_6 + -3'P_10_7 + -3'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + cX_10 + 3'cX_11 + cY_9 + 2'cY_10 + 4'cY_11 + -3'L_0 + -2'L_1 + -1'L_2 + -1'L_21 + -2'L_22 + -1'R_12 + -2'R_13 + -3'R_14 + -4'R_15 + -4'R_16 + -4'R_17 + -4'R_18 + -4'R_19 + -4'R_20 + -4'R_21 + -5'R_22 + -7'R_23 = -44
invariant :P_2_2 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_3 + -1'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_3 + -2'P_5_4 + -2'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -3'P_6_5 + -3'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -3'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -3'P_8_6 + -3'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -2'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_3 + -2'cY_4 + -3'cY_5 + -4'cY_6 + -5'cY_7 + -6'cY_8 + -7'cY_9 + -8'cY_10 + -9'cY_11 + 5'L_0 + 4'L_1 + 4'L_2 + 3'L_3 + 3'L_4 + 2'L_5 + 2'L_6 + L_7 + L_8 + L_14 + L_15 + 2'L_16 + 2'L_17 + 3'L_18 + 3'L_19 + 4'L_20 + 4'L_21 + 5'L_22 + R_5 + R_6 + 2'R_7 + 2'R_8 + 3'R_9 + 3'R_10 + 4'R_11 + 4'R_12 + 5'R_13 + 5'R_14 + 7'R_15 + 8'R_16 + 10'R_17 + 11'R_18 + 13'R_19 + 14'R_20 + 16'R_21 + 17'R_22 + 18'R_23 = 104
invariant :P_10_1 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + cX_10 + cX_11 + -1'L_21 + -1'L_22 + -1'R_22 + -1'R_23 = -2
invariant :cY_1 + 2'cY_2 + 3'cY_3 + 4'cY_4 + 5'cY_5 + 6'cY_6 + 7'cY_7 + 8'cY_8 + 9'cY_9 + 10'cY_10 + 11'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + L_12 + L_13 + 2'L_14 + 2'L_15 + 3'L_16 + 3'L_17 + 4'L_18 + 4'L_19 + 5'L_20 + 5'L_21 + 6'L_22 + -1'R_2 + -1'R_3 + -2'R_4 + -2'R_5 + -3'R_6 + -3'R_7 + -4'R_8 + -4'R_9 + -5'R_10 + -5'R_11 + -6'R_12 + -6'R_13 + -7'R_14 + -7'R_15 + -8'R_16 + -8'R_17 + -9'R_18 + -9'R_19 + -10'R_20 + -10'R_21 + -11'R_22 + -11'R_23 = -60
invariant :P_1_5 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -1'P_4_7 + -1'P_5_2 + -2'P_5_3 + -3'P_5_4 + -3'P_5_5 + -3'P_5_6 + -2'P_5_7 + -1'P_5_8 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -3'P_6_5 + -3'P_6_6 + -2'P_6_7 + -1'P_6_8 + P_6_10 + -1'P_7_3 + -2'P_7_4 + -2'P_7_5 + -2'P_7_6 + -1'P_7_7 + P_7_9 + P_7_10 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + P_8_8 + P_8_9 + P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + P_11_5 + P_11_6 + cX_6 + 3'cX_7 + 5'cX_8 + 7'cX_9 + 9'cX_10 + 11'cX_11 + cY_5 + 2'cY_6 + 4'cY_7 + 6'cY_8 + 8'cY_9 + 10'cY_10 + 12'cY_11 + -7'L_0 + -6'L_1 + -5'L_2 + -4'L_3 + -3'L_4 + -2'L_5 + -1'L_6 + -1'L_17 + -2'L_18 + -3'L_19 + -4'L_20 + -5'L_21 + -6'L_22 + -1'R_8 + -2'R_9 + -3'R_10 + -4'R_11 + -5'R_12 + -6'R_13 + -7'R_14 + -8'R_15 + -9'R_16 + -10'R_17 + -12'R_18 + -15'R_19 + -17'R_20 + -19'R_21 + -21'R_22 + -23'R_23 = -132
invariant :P_9_0 + -1'P_10_2 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_10 + -1'cX_11 + L_20 + L_21 + L_22 + R_22 + R_23 = 3
invariant :P_4_1 + P_4_2 + P_4_3 + P_4_4 + P_4_5 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_4_10 + P_5_2 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_5_9 + P_6_3 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_6_8 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_8_5 + P_8_6 + -1'P_10_5 + -1'P_10_6 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_15 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -8
invariant :P_2_4 + P_3_3 + P_3_4 + P_3_5 + P_4_2 + P_4_3 + 2'P_4_4 + P_4_5 + P_4_6 + P_5_3 + P_5_4 + P_5_5 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + P_6_4 + -1'P_6_7 + -1'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_6 + -1'P_7_7 + -2'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_5 + -1'P_8_6 + -2'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_9_5 + -2'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_16 + L_17 + 2'L_18 + 2'L_19 + 3'L_20 + 3'L_21 + 4'L_22 + R_7 + R_8 + 2'R_9 + 2'R_10 + 3'R_11 + 3'R_12 + 4'R_13 + 4'R_14 + 5'R_15 + 5'R_16 + 7'R_17 + 8'R_18 + 10'R_19 + 11'R_20 + 12'R_21 + 13'R_22 + 14'R_23 = 81
invariant :P_2_7 + P_3_6 + P_3_7 + P_3_8 + P_4_5 + P_4_6 + 2'P_4_7 + P_4_8 + P_4_9 + P_5_4 + P_5_5 + 2'P_5_6 + 2'P_5_7 + 2'P_5_8 + P_5_9 + P_5_10 + P_6_3 + P_6_4 + 2'P_6_5 + 2'P_6_6 + 3'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_2 + P_7_3 + 2'P_7_4 + 2'P_7_5 + 3'P_7_6 + 3'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 2'P_8_8 + P_8_9 + P_9_4 + P_9_5 + 2'P_9_6 + 2'P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_19 + L_20 + 2'L_21 + 2'L_22 + R_10 + R_11 + 2'R_12 + 2'R_13 + 3'R_14 + 3'R_15 + 4'R_16 + 4'R_17 + 4'R_18 + 4'R_19 + 5'R_20 + 6'R_21 + 7'R_22 + 8'R_23 = 46
invariant :P_6_11 + P_7_10 + P_8_9 + P_9_8 + P_10_7 + P_11_6 + R_18 = 1
invariant :P_2_6 + P_3_5 + P_3_6 + P_3_7 + P_4_4 + P_4_5 + 2'P_4_6 + P_4_7 + P_4_8 + P_5_3 + P_5_4 + 2'P_5_5 + 2'P_5_6 + 2'P_5_7 + P_5_8 + P_5_9 + P_6_2 + P_6_3 + 2'P_6_4 + 2'P_6_5 + 3'P_6_6 + 2'P_6_7 + 2'P_6_8 + P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 2'P_7_7 + P_7_8 + P_7_9 + P_8_4 + P_8_5 + 2'P_8_6 + P_8_7 + P_8_8 + P_9_5 + P_9_6 + P_9_7 + P_10_6 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + R_9 + R_10 + 2'R_11 + 2'R_12 + 3'R_13 + 3'R_14 + 4'R_15 + 4'R_16 + 5'R_17 + 5'R_18 + 6'R_19 + 7'R_20 + 8'R_21 + 9'R_22 + 10'R_23 = 58
invariant :P_1_10 + -1'P_3_9 + -1'P_3_10 + -1'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_6 + -2'P_6_7 + -2'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_5 + -2'P_7_6 + -2'P_7_7 + -2'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -2'P_8_6 + -2'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + cX_11 + cY_10 + 2'cY_11 + -2'L_0 + -1'L_1 + -1'L_22 + -1'R_13 + -2'R_14 + -2'R_15 + -2'R_16 + -2'R_17 + -2'R_18 + -2'R_19 + -2'R_20 + -2'R_21 + -2'R_22 + -3'R_23 = -22
invariant :L_0 + L_2 + L_4 + L_6 + L_8 + L_10 + L_12 + L_14 + L_16 + L_18 + L_20 + L_22 + -1'R_2 + -1'R_4 + -1'R_6 + -1'R_8 + -1'R_10 + -1'R_12 + -1'R_14 + -1'R_16 + -1'R_18 + -1'R_20 + -1'R_22 = 1
invariant :P_2_5 + P_3_4 + P_3_5 + P_3_6 + P_4_3 + P_4_4 + 2'P_4_5 + P_4_6 + P_4_7 + P_5_2 + P_5_3 + 2'P_5_4 + 2'P_5_5 + 2'P_5_6 + P_5_7 + P_5_8 + P_6_3 + P_6_4 + 2'P_6_5 + P_6_6 + P_6_7 + -1'P_6_10 + P_7_4 + P_7_5 + P_7_6 + -1'P_7_9 + P_8_5 + -1'P_8_8 + -1'P_9_7 + -1'P_10_6 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_17 + L_18 + 2'L_19 + 2'L_20 + 3'L_21 + 3'L_22 + R_8 + R_9 + 2'R_10 + 2'R_11 + 3'R_12 + 3'R_13 + 4'R_14 + 4'R_15 + 5'R_16 + 5'R_17 + 7'R_18 + 8'R_19 + 9'R_20 + 10'R_21 + 11'R_22 + 12'R_23 = 69
invariant :P_2_8 + P_3_7 + P_3_8 + P_3_9 + P_4_6 + P_4_7 + 2'P_4_8 + P_4_9 + P_4_10 + P_5_5 + P_5_6 + 2'P_5_7 + 2'P_5_8 + 2'P_5_9 + P_5_10 + P_6_4 + P_6_5 + 2'P_6_6 + 2'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 3'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + P_8_3 + 2'P_8_4 + 2'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -1'cY_9 + -2'cY_10 + -3'cY_11 + 2'L_0 + L_1 + L_2 + L_20 + L_21 + 2'L_22 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 3'R_17 + 3'R_18 + 3'R_19 + 3'R_20 + 4'R_21 + 5'R_22 + 6'R_23 = 35
invariant :P_2_0 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_3 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_7_6 + P_8_6 + P_9_5 + P_9_6 + P_9_7 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + -1'cX_3 + -1'cX_4 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_13 + L_14 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 10
invariant :P_0_7 + P_3_7 + P_4_6 + P_4_7 + P_4_8 + P_5_5 + P_5_6 + 2'P_5_7 + P_5_8 + P_5_9 + P_6_4 + P_6_5 + 2'P_6_6 + 2'P_6_7 + 2'P_6_8 + P_6_9 + P_6_10 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 3'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + P_8_3 + 2'P_8_4 + 2'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + P_10_8 + P_11_5 + P_11_6 + P_11_7 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_20 + L_21 + 2'L_22 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 4'R_17 + 4'R_18 + 4'R_19 + 4'R_20 + 5'R_21 + 6'R_22 + 7'R_23 = 43
invariant :P_2_11 + P_3_10 + P_4_9 + P_5_8 + P_6_7 + P_7_6 + P_8_5 + P_9_4 + P_10_3 + P_11_2 + R_14 = 1
invariant :P_0_8 + P_3_8 + P_4_7 + P_4_8 + P_4_9 + P_5_6 + P_5_7 + 2'P_5_8 + P_5_9 + P_5_10 + P_6_5 + P_6_6 + 2'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + P_10_9 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + -1'cX_10 + -2'cX_11 + -1'cY_9 + -2'cY_10 + -3'cY_11 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_21 + L_22 + R_12 + R_13 + 2'R_14 + 2'R_15 + 3'R_16 + 3'R_17 + 3'R_18 + 3'R_19 + 3'R_20 + 3'R_21 + 4'R_22 + 5'R_23 = 32
invariant :P_0_10 + P_3_10 + P_4_9 + P_4_10 + P_5_8 + P_5_9 + P_5_10 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + -1'cY_11 + L_0 + L_1 + R_14 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 11
invariant :P_3_1 + P_3_2 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + P_4_3 + P_4_4 + P_4_5 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_5_3 + P_5_4 + P_5_5 + P_5_6 + P_5_7 + P_5_8 + P_6_4 + P_6_5 + P_6_6 + P_6_7 + P_7_5 + P_7_6 + -1'P_9_5 + -1'P_9_6 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + cX_3 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_14 + -1'L_15 + -1'L_16 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_15 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -9
invariant :P_2_10 + P_3_9 + P_3_10 + P_4_8 + P_4_9 + P_4_10 + P_5_7 + P_5_8 + P_5_9 + P_5_10 + P_6_6 + P_6_7 + P_6_8 + P_6_9 + P_6_10 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + -1'cX_11 + -1'cY_11 + L_0 + L_22 + R_13 + R_14 + R_15 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + 2'R_23 = 12
invariant :P_11_0 + L_22 = 1
invariant :P_11_11 + R_23 = 1
invariant :P_1_11 + -1'P_3_10 + -1'P_4_9 + -1'P_4_10 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + cY_11 + -1'L_0 + -1'R_14 + -1'R_15 + -1'R_16 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -10
invariant :P_0_6 + P_3_6 + P_4_5 + P_4_6 + P_4_7 + P_5_4 + P_5_5 + 2'P_5_6 + P_5_7 + P_5_8 + P_6_3 + P_6_4 + 2'P_6_5 + 2'P_6_6 + 2'P_6_7 + P_6_8 + P_6_9 + P_7_2 + P_7_3 + 2'P_7_4 + 2'P_7_5 + 3'P_7_6 + 2'P_7_7 + 2'P_7_8 + P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 2'P_8_7 + P_8_8 + P_8_9 + P_9_4 + P_9_5 + 2'P_9_6 + P_9_7 + P_9_8 + P_10_5 + P_10_6 + P_10_7 + P_11_6 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_19 + L_20 + 2'L_21 + 2'L_22 + R_10 + R_11 + 2'R_12 + 2'R_13 + 3'R_14 + 3'R_15 + 4'R_16 + 4'R_17 + 5'R_18 + 5'R_19 + 6'R_20 + 7'R_21 + 8'R_22 + 9'R_23 = 53
invariant :P_4_0 + -1'P_5_2 + -1'P_5_3 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_9_6 + P_10_6 + P_11_5 + P_11_6 + P_11_7 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 8
invariant :P_3_11 + P_4_10 + P_5_9 + P_6_8 + P_7_7 + P_8_6 + P_9_5 + P_10_4 + P_11_3 + R_15 = 1
invariant :cX_2 + 3'cX_3 + 6'cX_4 + 10'cX_5 + 15'cX_6 + 21'cX_7 + 28'cX_8 + 36'cX_9 + 45'cX_10 + 55'cX_11 + cY_2 + 3'cY_3 + 6'cY_4 + 10'cY_5 + 15'cY_6 + 21'cY_7 + 28'cY_8 + 36'cY_9 + 45'cY_10 + 55'cY_11 + -30'L_0 + -25'L_1 + -20'L_2 + -16'L_3 + -12'L_4 + -9'L_5 + -6'L_6 + -4'L_7 + -2'L_8 + -1'L_9 + -1'L_13 + -2'L_14 + -4'L_15 + -6'L_16 + -9'L_17 + -12'L_18 + -16'L_19 + -20'L_20 + -25'L_21 + -30'L_22 + -1'R_4 + -2'R_5 + -4'R_6 + -6'R_7 + -9'R_8 + -12'R_9 + -16'R_10 + -20'R_11 + -25'R_12 + -30'R_13 + -36'R_14 + -42'R_15 + -49'R_16 + -56'R_17 + -64'R_18 + -72'R_19 + -81'R_20 + -90'R_21 + -100'R_22 + -110'R_23 = -635
invariant :P_7_1 + P_7_2 + P_7_3 + P_7_4 + P_7_5 + P_7_6 + P_7_7 + P_7_8 + P_7_9 + P_7_10 + P_8_2 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_11_5 + P_11_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -5
invariant :P_8_0 + -1'P_9_2 + -1'P_9_3 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_3 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_19 + L_20 + L_21 + L_22 + R_21 + R_22 + R_23 = 4
invariant :P_10_11 + P_11_10 + R_22 = 1
invariant :P_2_9 + P_3_8 + P_3_9 + P_3_10 + P_4_7 + P_4_8 + 2'P_4_9 + P_4_10 + P_5_6 + P_5_7 + 2'P_5_8 + 2'P_5_9 + P_5_10 + P_6_5 + P_6_6 + 2'P_6_7 + 2'P_6_8 + 2'P_6_9 + P_6_10 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 2'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 2'P_8_7 + 2'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + -1'cX_10 + -2'cX_11 + -1'cY_10 + -2'cY_11 + L_0 + L_1 + L_21 + L_22 + R_12 + R_13 + 2'R_14 + 2'R_15 + 2'R_16 + 2'R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 3'R_22 + 4'R_23 = 23
invariant :cX_1 + -3'cX_3 + -8'cX_4 + -15'cX_5 + -24'cX_6 + -35'cX_7 + -48'cX_8 + -63'cX_9 + -80'cX_10 + -99'cX_11 + -2'cY_2 + -6'cY_3 + -12'cY_4 + -20'cY_5 + -30'cY_6 + -42'cY_7 + -56'cY_8 + -72'cY_9 + -90'cY_10 + -110'cY_11 + 65'L_0 + 55'L_1 + 44'L_2 + 36'L_3 + 27'L_4 + 21'L_5 + 14'L_6 + 10'L_7 + 5'L_8 + 3'L_9 + -1'L_12 + L_13 + 2'L_14 + 6'L_15 + 9'L_16 + 15'L_17 + 20'L_18 + 28'L_19 + 35'L_20 + 45'L_21 + 54'L_22 + -1'R_3 + R_4 + 2'R_5 + 6'R_6 + 9'R_7 + 15'R_8 + 20'R_9 + 28'R_10 + 35'R_11 + 45'R_12 + 54'R_13 + 66'R_14 + 77'R_15 + 91'R_16 + 104'R_17 + 120'R_18 + 135'R_19 + 153'R_20 + 170'R_21 + 190'R_22 + 209'R_23 = 1209
invariant :P_0_1 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_2 + -2'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_2 + -2'P_5_3 + -3'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -4'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -5'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -4'P_8_6 + -4'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -3'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -2'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + -1'L_12 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_2 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 7'R_15 + 9'R_16 + 10'R_17 + 12'R_18 + 13'R_19 + 15'R_20 + 16'R_21 + 18'R_22 + 19'R_23 = 105
invariant :P_6_0 + -1'P_7_2 + -1'P_7_3 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_7_10 + -1'P_8_3 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_9_4 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_11_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_19 + R_20 + R_21 + R_22 + R_23 = 6
invariant :P_1_0 + P_3_2 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_2 + 2'P_4_3 + 2'P_4_4 + 2'P_4_5 + 2'P_4_6 + 2'P_4_7 + 2'P_4_8 + 2'P_4_9 + P_4_10 + P_5_2 + 2'P_5_3 + 3'P_5_4 + 3'P_5_5 + 3'P_5_6 + 3'P_5_7 + 3'P_5_8 + 2'P_5_9 + P_5_10 + P_6_2 + 2'P_6_3 + 3'P_6_4 + 4'P_6_5 + 4'P_6_6 + 4'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_2 + 2'P_7_3 + 3'P_7_4 + 4'P_7_5 + 5'P_7_6 + 4'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_2 + 2'P_8_3 + 3'P_8_4 + 4'P_8_5 + 4'P_8_6 + 4'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_2 + 2'P_9_3 + 3'P_9_4 + 3'P_9_5 + 3'P_9_6 + 3'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_2 + 2'P_10_3 + 2'P_10_4 + 2'P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + P_10_10 + P_11_2 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + cX_3 + 2'cX_4 + 3'cX_5 + 4'cX_6 + 5'cX_7 + 6'cX_8 + 7'cX_9 + 8'cX_10 + 9'cX_11 + cY_2 + 2'cY_3 + 3'cY_4 + 4'cY_5 + 5'cY_6 + 6'cY_7 + 7'cY_8 + 8'cY_9 + 9'cY_10 + 10'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + L_12 + -1'L_15 + -1'L_16 + -2'L_17 + -2'L_18 + -3'L_19 + -3'L_20 + -4'L_21 + -4'L_22 + -1'R_4 + -1'R_5 + -2'R_6 + -2'R_7 + -3'R_8 + -3'R_9 + -4'R_10 + -4'R_11 + -5'R_12 + -5'R_13 + -6'R_14 + -7'R_15 + -9'R_16 + -10'R_17 + -12'R_18 + -13'R_19 + -15'R_20 + -16'R_21 + -18'R_22 + -19'R_23 = -104
invariant :P_7_11 + P_8_10 + P_9_9 + P_10_8 + P_11_7 + R_19 = 1
invariant :P_4_11 + P_5_10 + P_6_9 + P_7_8 + P_8_7 + P_9_6 + P_10_5 + P_11_4 + R_16 = 1
invariant :P_0_2 + P_3_2 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_3 + -1'P_5_4 + -2'P_5_5 + -2'P_5_6 + -2'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_3 + -2'P_6_4 + -2'P_6_5 + -3'P_6_6 + -3'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -3'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -3'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -1'cY_3 + -2'cY_4 + -3'cY_5 + -4'cY_6 + -5'cY_7 + -6'cY_8 + -7'cY_9 + -8'cY_10 + -9'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_6 + R_7 + 2'R_8 + 2'R_9 + 3'R_10 + 3'R_11 + 4'R_12 + 4'R_13 + 5'R_14 + 5'R_15 + 7'R_16 + 8'R_17 + 10'R_18 + 11'R_19 + 13'R_20 + 14'R_21 + 16'R_22 + 17'R_23 = 95
invariant :P_5_0 + -1'P_6_2 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_6_9 + -1'P_6_10 + -1'P_7_3 + -1'P_7_4 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + -1'P_8_7 + -1'P_8_8 + -1'P_9_5 + -1'P_9_6 + -1'P_9_7 + -1'P_10_6 + P_11_6 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 7
invariant :P_0_5 + P_3_5 + P_4_4 + P_4_5 + P_4_6 + P_5_3 + P_5_4 + 2'P_5_5 + P_5_6 + P_5_7 + P_6_2 + P_6_3 + 2'P_6_4 + 2'P_6_5 + 2'P_6_6 + P_6_7 + P_6_8 + P_7_3 + P_7_4 + 2'P_7_5 + P_7_6 + P_7_7 + -1'P_7_10 + P_8_4 + P_8_5 + P_8_6 + -1'P_8_9 + P_9_5 + -1'P_9_8 + -1'P_10_7 + -1'P_11_6 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + R_9 + R_10 + 2'R_11 + 2'R_12 + 3'R_13 + 3'R_14 + 4'R_15 + 4'R_16 + 5'R_17 + 5'R_18 + 7'R_19 + 8'R_20 + 9'R_21 + 10'R_22 + 11'R_23 = 64
invariant :P_0_11 + L_0 = 1
invariant :P_2_1 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_3_8 + -1'P_3_9 + -1'P_3_10 + -1'P_4_2 + -1'P_4_3 + -2'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -2'P_4_8 + -2'P_4_9 + -1'P_4_10 + -1'P_5_2 + -2'P_5_3 + -2'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -3'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -4'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -4'P_8_6 + -3'P_8_7 + -3'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -3'P_9_5 + -3'P_9_6 + -3'P_9_7 + -2'P_9_8 + -2'P_9_9 + -1'P_9_10 + -1'P_10_2 + -2'P_10_3 + -2'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_11_2 + -1'P_11_3 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'cX_3 + -2'cX_4 + -3'cX_5 + -4'cX_6 + -5'cX_7 + -6'cX_8 + -7'cX_9 + -8'cX_10 + -9'cX_11 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 7'R_15 + 9'R_16 + 10'R_17 + 12'R_18 + 13'R_19 + 15'R_20 + 16'R_21 + 18'R_22 + 19'R_23 = 105
invariant :cY_0 + -1'cY_2 + -2'cY_3 + -3'cY_4 + -4'cY_5 + -5'cY_6 + -6'cY_7 + -7'cY_8 + -8'cY_9 + -9'cY_10 + -10'cY_11 + 5'L_0 + 5'L_1 + 4'L_2 + 4'L_3 + 3'L_4 + 3'L_5 + 2'L_6 + 2'L_7 + L_8 + L_9 + -1'L_12 + -1'L_13 + -2'L_14 + -2'L_15 + -3'L_16 + -3'L_17 + -4'L_18 + -4'L_19 + -5'L_20 + -5'L_21 + -6'L_22 + -1'R_1 + R_4 + R_5 + 2'R_6 + 2'R_7 + 3'R_8 + 3'R_9 + 4'R_10 + 4'R_11 + 5'R_12 + 5'R_13 + 6'R_14 + 6'R_15 + 7'R_16 + 7'R_17 + 8'R_18 + 8'R_19 + 9'R_20 + 9'R_21 + 10'R_22 + 10'R_23 = 49
invariant :P_1_3 + -1'P_3_2 + -1'P_3_3 + -1'P_3_4 + -1'P_4_2 + -1'P_4_3 + -1'P_4_4 + P_4_6 + P_4_7 + P_4_8 + P_4_9 + P_4_10 + P_5_5 + 2'P_5_6 + 3'P_5_7 + 3'P_5_8 + 3'P_5_9 + 2'P_5_10 + P_6_3 + P_6_4 + 2'P_6_5 + 3'P_6_6 + 4'P_6_7 + 5'P_6_8 + 4'P_6_9 + 2'P_6_10 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 5'P_7_7 + 5'P_7_8 + 4'P_7_9 + 2'P_7_10 + P_8_3 + 2'P_8_4 + 4'P_8_5 + 5'P_8_6 + 5'P_8_7 + 4'P_8_8 + 3'P_8_9 + 2'P_8_10 + P_9_3 + 2'P_9_4 + 4'P_9_5 + 5'P_9_6 + 4'P_9_7 + 3'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + 2'P_10_4 + 3'P_10_5 + 3'P_10_6 + 3'P_10_7 + 2'P_10_8 + P_10_9 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + cX_4 + 3'cX_5 + 5'cX_6 + 7'cX_7 + 9'cX_8 + 11'cX_9 + 13'cX_10 + 15'cX_11 + cY_3 + 2'cY_4 + 4'cY_5 + 6'cY_6 + 8'cY_7 + 10'cY_8 + 12'cY_9 + 14'cY_10 + 16'cY_11 + -9'L_0 + -8'L_1 + -7'L_2 + -6'L_3 + -5'L_4 + -4'L_5 + -3'L_6 + -2'L_7 + -1'L_8 + -1'L_15 + -2'L_16 + -3'L_17 + -4'L_18 + -5'L_19 + -6'L_20 + -7'L_21 + -8'L_22 + -1'R_6 + -2'R_7 + -3'R_8 + -4'R_9 + -5'R_10 + -6'R_11 + -7'R_12 + -8'R_13 + -9'R_14 + -10'R_15 + -12'R_16 + -15'R_17 + -18'R_18 + -21'R_19 + -24'R_20 + -27'R_21 + -29'R_22 + -31'R_23 = -176
invariant :P_9_11 + P_10_10 + P_11_9 + R_21 = 1
invariant :P_3_0 + -1'P_4_2 + -1'P_4_3 + -1'P_4_4 + -1'P_4_5 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_3 + -1'P_5_4 + -1'P_5_5 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_6_4 + -1'P_6_5 + -1'P_6_6 + -1'P_6_7 + -1'P_6_8 + -1'P_7_5 + -1'P_7_6 + -1'P_7_7 + -1'P_8_6 + P_9_6 + P_10_5 + P_10_6 + P_10_7 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + -1'cX_4 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + L_14 + L_15 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 = 9
invariant :P_1_1 + P_3_3 + P_3_4 + P_3_5 + P_3_6 + P_3_7 + P_3_8 + P_3_9 + P_3_10 + P_4_3 + 2'P_4_4 + 2'P_4_5 + 2'P_4_6 + 2'P_4_7 + 2'P_4_8 + 2'P_4_9 + P_4_10 + P_5_3 + 2'P_5_4 + 3'P_5_5 + 3'P_5_6 + 3'P_5_7 + 3'P_5_8 + 2'P_5_9 + P_5_10 + P_6_3 + 2'P_6_4 + 3'P_6_5 + 4'P_6_6 + 4'P_6_7 + 3'P_6_8 + 2'P_6_9 + P_6_10 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 4'P_7_7 + 3'P_7_8 + 2'P_7_9 + P_7_10 + P_8_3 + 2'P_8_4 + 3'P_8_5 + 3'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + cX_3 + 2'cX_4 + 3'cX_5 + 4'cX_6 + 5'cX_7 + 6'cX_8 + 7'cX_9 + 8'cX_10 + 9'cX_11 + cY_3 + 2'cY_4 + 3'cY_5 + 4'cY_6 + 5'cY_7 + 6'cY_8 + 7'cY_9 + 8'cY_10 + 9'cY_11 + -5'L_0 + -5'L_1 + -4'L_2 + -4'L_3 + -3'L_4 + -3'L_5 + -2'L_6 + -2'L_7 + -1'L_8 + -1'L_9 + -1'L_13 + -1'L_14 + -2'L_15 + -2'L_16 + -3'L_17 + -3'L_18 + -4'L_19 + -4'L_20 + -5'L_21 + -5'L_22 + R_3 + -1'R_6 + -1'R_7 + -2'R_8 + -2'R_9 + -3'R_10 + -3'R_11 + -4'R_12 + -4'R_13 + -5'R_14 + -6'R_15 + -8'R_16 + -9'R_17 + -11'R_18 + -12'R_19 + -14'R_20 + -15'R_21 + -17'R_22 + -18'R_23 = -104
invariant :P_0_3 + P_3_3 + P_4_2 + P_4_3 + P_4_4 + P_5_3 + -1'P_5_6 + -1'P_5_7 + -1'P_5_8 + -1'P_5_9 + -1'P_5_10 + -1'P_6_5 + -1'P_6_6 + -2'P_6_7 + -2'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_4 + -1'P_7_5 + -2'P_7_6 + -2'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -2'P_8_6 + -3'P_8_7 + -2'P_8_8 + -2'P_8_9 + -1'P_8_10 + -1'P_9_4 + -2'P_9_5 + -3'P_9_6 + -2'P_9_7 + -2'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_10_4 + -2'P_10_5 + -2'P_10_6 + -2'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_11_4 + -1'P_11_5 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + 5'L_0 + 4'L_1 + 4'L_2 + 3'L_3 + 3'L_4 + 2'L_5 + 2'L_6 + L_7 + L_8 + L_16 + L_17 + 2'L_18 + 2'L_19 + 3'L_20 + 3'L_21 + 4'L_22 + R_7 + R_8 + 2'R_9 + 2'R_10 + 3'R_11 + 3'R_12 + 4'R_13 + 4'R_14 + 5'R_15 + 5'R_16 + 7'R_17 + 8'R_18 + 10'R_19 + 11'R_20 + 13'R_21 + 14'R_22 + 15'R_23 = 85
invariant :L_1 + L_3 + L_5 + L_7 + L_9 + L_11 + L_13 + L_15 + L_17 + L_19 + L_21 + -1'R_1 + -1'R_3 + -1'R_5 + -1'R_7 + -1'R_9 + -1'R_11 + -1'R_13 + -1'R_15 + -1'R_17 + -1'R_19 + -1'R_21 + -1'R_23 = -1
invariant :P_9_1 + P_9_2 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_2 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + cX_9 + cX_10 + cX_11 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_21 + -1'R_22 + -1'R_23 = -3
invariant :P_1_4 + -1'P_3_3 + -1'P_3_4 + -1'P_3_5 + -1'P_4_2 + -2'P_4_3 + -2'P_4_4 + -2'P_4_5 + -1'P_4_6 + -1'P_5_2 + -2'P_5_3 + -2'P_5_4 + -2'P_5_5 + -1'P_5_6 + P_5_8 + P_5_9 + P_5_10 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + P_6_7 + 2'P_6_8 + 3'P_6_9 + 2'P_6_10 + P_7_6 + 2'P_7_7 + 3'P_7_8 + 3'P_7_9 + 2'P_7_10 + P_8_4 + P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 2'P_8_9 + P_8_10 + P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 2'P_9_8 + P_9_9 + P_10_4 + 2'P_10_5 + 3'P_10_6 + 2'P_10_7 + P_10_8 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + cX_5 + 3'cX_6 + 5'cX_7 + 7'cX_8 + 9'cX_9 + 11'cX_10 + 13'cX_11 + cY_4 + 2'cY_5 + 4'cY_6 + 6'cY_7 + 8'cY_8 + 10'cY_9 + 12'cY_10 + 14'cY_11 + -8'L_0 + -7'L_1 + -6'L_2 + -5'L_3 + -4'L_4 + -3'L_5 + -2'L_6 + -1'L_7 + -1'L_16 + -2'L_17 + -3'L_18 + -4'L_19 + -5'L_20 + -6'L_21 + -7'L_22 + -1'R_7 + -2'R_8 + -3'R_9 + -4'R_10 + -5'R_11 + -6'R_12 + -7'R_13 + -8'R_14 + -9'R_15 + -10'R_16 + -12'R_17 + -15'R_18 + -18'R_19 + -21'R_20 + -23'R_21 + -25'R_22 + -27'R_23 = -154
invariant :P_1_6 + -1'P_3_5 + -1'P_3_6 + -1'P_3_7 + -1'P_4_4 + -2'P_4_5 + -2'P_4_6 + -2'P_4_7 + -1'P_4_8 + -1'P_5_3 + -2'P_5_4 + -3'P_5_5 + -3'P_5_6 + -3'P_5_7 + -2'P_5_8 + -1'P_5_9 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -4'P_6_5 + -4'P_6_6 + -4'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -4'P_7_6 + -4'P_7_7 + -3'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -3'P_8_6 + -3'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + cX_7 + 3'cX_8 + 5'cX_9 + 7'cX_10 + 9'cX_11 + cY_6 + 2'cY_7 + 4'cY_8 + 6'cY_9 + 8'cY_10 + 10'cY_11 + -6'L_0 + -5'L_1 + -4'L_2 + -3'L_3 + -2'L_4 + -1'L_5 + -1'L_18 + -2'L_19 + -3'L_20 + -4'L_21 + -5'L_22 + -1'R_9 + -2'R_10 + -3'R_11 + -4'R_12 + -5'R_13 + -6'R_14 + -7'R_15 + -8'R_16 + -9'R_17 + -10'R_18 + -11'R_19 + -13'R_20 + -15'R_21 + -17'R_22 + -19'R_23 = -110
invariant :P_2_3 + P_3_2 + P_3_3 + P_3_4 + P_4_3 + -1'P_4_6 + -1'P_4_7 + -1'P_4_8 + -1'P_4_9 + -1'P_4_10 + -1'P_5_5 + -1'P_5_6 + -2'P_5_7 + -2'P_5_8 + -2'P_5_9 + -1'P_5_10 + -1'P_6_4 + -1'P_6_5 + -2'P_6_6 + -2'P_6_7 + -3'P_6_8 + -2'P_6_9 + -1'P_6_10 + -1'P_7_4 + -2'P_7_5 + -2'P_7_6 + -3'P_7_7 + -2'P_7_8 + -2'P_7_9 + -1'P_7_10 + -1'P_8_4 + -2'P_8_5 + -3'P_8_6 + -2'P_8_7 + -2'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_4 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_15 + L_16 + 2'L_17 + 2'L_18 + 3'L_19 + 3'L_20 + 4'L_21 + 4'L_22 + R_6 + R_7 + 2'R_8 + 2'R_9 + 3'R_10 + 3'R_11 + 4'R_12 + 4'R_13 + 5'R_14 + 5'R_15 + 7'R_16 + 8'R_17 + 10'R_18 + 11'R_19 + 13'R_20 + 14'R_21 + 15'R_22 + 16'R_23 = 92
invariant :P_8_1 + P_8_2 + P_8_3 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_2 + P_9_3 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_10_3 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + cX_8 + cX_9 + cX_10 + cX_11 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 = -4
invariant :P_5_11 + P_6_10 + P_7_9 + P_8_8 + P_9_7 + P_10_6 + P_11_5 + R_17 = 1
FORMULA NQueens-PT-12-ReachabilityCardinality-00 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-01 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-02 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-03 TRUE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-04 TRUE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-05 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-07 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-08 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-09 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-13 FALSE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-14 TRUE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-15 TRUE TECHNIQUES SAT_SMT K_INDUCTION(0)
FORMULA NQueens-PT-12-ReachabilityCardinality-06 TRUE TECHNIQUES SAT_SMT BMC(2)
Running compilation step : CommandLine [args=[gcc, -c, -I/home/mcc/BenchKit//lts_install_dir//include, -I., -std=c99, -fPIC, -O2, model.c], workingDir=/home/mcc/execution]
Compilation finished in 1822 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 54 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, NQueensPT12ReachabilityCardinality11==true], workingDir=/home/mcc/execution]
LTSmin run took 2651 ms.
Found Violation
FORMULA NQueens-PT-12-ReachabilityCardinality-11 FALSE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, -i, NQueensPT12ReachabilityCardinality12==true], workingDir=/home/mcc/execution]
LTSmin run took 7199 ms.
Found Violation
FORMULA NQueens-PT-12-ReachabilityCardinality-12 FALSE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
ITS tools runner thread asked to quit. Dying gracefully.

BK_STOP 1553627757793

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

+ export BINDIR=/home/mcc/BenchKit/
+ BINDIR=/home/mcc/BenchKit/
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ ReachabilityCardinality = StateSpace ]]
+ /home/mcc/BenchKit//runeclipse.sh /home/mcc/execution ReachabilityCardinality -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -greatspnpath /home/mcc/BenchKit//greatspn/ -order META -manyOrder -smt
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ /home/mcc/BenchKit//itstools/its-tools -data /home/mcc/execution/workspace -pnfolder /home/mcc/execution -examination ReachabilityCardinality -z3path /home/mcc/BenchKit//z3/bin/z3 -yices2path /home/mcc/BenchKit//yices/bin/yices -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -greatspnpath /home/mcc/BenchKit//greatspn/ -order META -manyOrder -smt -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss8m -Xms40m -Xmx8192m -Dfile.encoding=UTF-8 -Dosgi.requiredJavaVersion=1.6
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.application.Application start
INFO: Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, ReachabilityCardinality, -z3path, /home/mcc/BenchKit//z3/bin/z3, -yices2path, /home/mcc/BenchKit//yices/bin/yices, -its, -ltsminpath, /home/mcc/BenchKit//lts_install_dir/, -greatspnpath, /home/mcc/BenchKit//greatspn/, -order, META, -manyOrder, -smt]
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.application.MccTranslator transformPNML
INFO: Parsing pnml file : /home/mcc/execution/model.pnml
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.nupn.PTNetReader loadFromXML
INFO: Load time of PNML (sax parser for PT used): 49 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 216 places.
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 144 transitions.
Mar 26, 2019 7:15:25 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/model.pnml.img.gal : 10 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.DomainAnalyzer computeVariableDomains
INFO: Found a total of 2 fixed domain variables (out of 216 variables) in GAL type NQueens_PT_12
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: Found a total of 2 constant array cells/variables (out of 216 variables) in type NQueens_PT_12
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: R_0,L_23,
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.DomainAnalyzer computeVariableDomains
INFO: Found a total of 2 fixed domain variables (out of 216 variables) in GAL type NQueens_PT_12
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: Found a total of 2 constant array cells/variables (out of 216 variables) in type NQueens_PT_12
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: R_0,L_23,
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.Simplifier simplifyConstantVariables
INFO: Removed 2 constant variables :R_0=1, L_23=1
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 71 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 30 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 102 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 144 transitions.
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 144 transitions.
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.application.StructuralToGreatSPN handlePage
INFO: Transformed 214 places.
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.application.StructuralToGreatSPN handlePage
INFO: Transformed 144 transitions.
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 144 transitions.
Mar 26, 2019 7:15:25 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/ReachabilityCardinality.pnml.gal : 2 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.serialization.SerializationUtil serializePropertiesForITSTools
INFO: Time to serialize properties into /home/mcc/execution/ReachabilityCardinality.prop : 0 ms
Mar 26, 2019 7:15:25 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver computeAndDeclareInvariants
INFO: Computed 70 place invariants in 95 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd checkProperties
INFO: Ran tautology test, simplified 0 / 15 in 497 ms.
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-00(UNSAT) depth K=0 took 17 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-01(UNSAT) depth K=0 took 1 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-02(UNSAT) depth K=0 took 2 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-03(UNSAT) depth K=0 took 6 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-04(UNSAT) depth K=0 took 2 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-05(UNSAT) depth K=0 took 2 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-06(UNSAT) depth K=0 took 8 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-07(UNSAT) depth K=0 took 0 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-08(UNSAT) depth K=0 took 0 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 144 transitions.
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-09(UNSAT) depth K=0 took 10 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-11(UNSAT) depth K=0 took 16 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-12(UNSAT) depth K=0 took 16 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-13(UNSAT) depth K=0 took 16 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-14(UNSAT) depth K=0 took 20 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-15(UNSAT) depth K=0 took 16 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver computeAndDeclareInvariants
INFO: Computed 70 place invariants in 62 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-00(UNSAT) depth K=1 took 94 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-01(UNSAT) depth K=1 took 70 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-02(UNSAT) depth K=1 took 69 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-03(UNSAT) depth K=1 took 81 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-04(UNSAT) depth K=1 took 52 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-05(UNSAT) depth K=1 took 42 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-06(UNSAT) depth K=1 took 66 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-07(UNSAT) depth K=1 took 47 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-08(UNSAT) depth K=1 took 88 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-09(UNSAT) depth K=1 took 40 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-11(UNSAT) depth K=1 took 47 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-12(UNSAT) depth K=1 took 53 ms
Mar 26, 2019 7:15:26 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-13(UNSAT) depth K=1 took 33 ms
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-14(UNSAT) depth K=1 took 53 ms
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-15(UNSAT) depth K=1 took 44 ms
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver init
INFO: Proved 214 variables to be positive in 2117 ms
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may disable matrix : 144 transitions.
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of disable matrix completed :0/144 took 0 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete disable matrix. took 8 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may enable matrix : 144 transitions.
Mar 26, 2019 7:15:27 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete enable matrix. took 7 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver init
INFO: Proved 214 variables to be positive in 2187 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-00
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-00
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-00(FALSE) depth K=0 took 84 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-01
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-01
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-01(FALSE) depth K=0 took 52 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-00(UNSAT) depth K=2 took 1467 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-02
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-02
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-02(FALSE) depth K=0 took 43 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved invariant NQueens-PT-12-ReachabilityCardinality-03
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-03
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-03(TRUE) depth K=0 took 54 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved invariant NQueens-PT-12-ReachabilityCardinality-04
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-04
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-04(TRUE) depth K=0 took 46 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-05
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-05
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-05(FALSE) depth K=0 took 40 ms
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-06
Mar 26, 2019 7:15:28 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-06(SAT) depth K=0 took 270 ms
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-07
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-07
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-07(FALSE) depth K=0 took 49 ms
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-08
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-08
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-08(FALSE) depth K=0 took 92 ms
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-09
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-09
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-09(FALSE) depth K=0 took 40 ms
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-11
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-11(SAT) depth K=0 took 531 ms
Mar 26, 2019 7:15:29 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-01(UNSAT) depth K=2 took 1158 ms
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-12
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-12(SAT) depth K=0 took 326 ms
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved UNreachability of reachability predicate NQueens-PT-12-ReachabilityCardinality-13
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-13
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-13(FALSE) depth K=0 took 52 ms
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved invariant NQueens-PT-12-ReachabilityCardinality-14
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-14
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-14(TRUE) depth K=0 took 52 ms
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, proved invariant NQueens-PT-12-ReachabilityCardinality-15
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is UNSAT, successfully proved induction at step 0 for NQueens-PT-12-ReachabilityCardinality-15
Mar 26, 2019 7:15:30 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-15(TRUE) depth K=0 took 50 ms
Mar 26, 2019 7:15:32 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-02(UNSAT) depth K=2 took 2328 ms
Mar 26, 2019 7:15:32 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeCoEnablingMatrix
INFO: Computing symmetric co enabling matrix : 144 transitions.
Mar 26, 2019 7:15:32 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-06
Mar 26, 2019 7:15:32 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-06(SAT) depth K=1 took 2552 ms
Mar 26, 2019 7:15:33 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-03(UNSAT) depth K=2 took 1142 ms
SMT solver raised 'unknown', retrying with same input.
Mar 26, 2019 7:15:35 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-04(UNSAT) depth K=2 took 2560 ms
Mar 26, 2019 7:15:37 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-05(UNSAT) depth K=2 took 1939 ms
Mar 26, 2019 7:15:38 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-11
Mar 26, 2019 7:15:38 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-11(SAT) depth K=1 took 5920 ms
SMT solver raised 'unknown', retrying with same input.
Mar 26, 2019 7:15:40 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: Result is SAT, found a trace to state matching reachability predicate NQueens-PT-12-ReachabilityCardinality-06
Mar 26, 2019 7:15:40 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-06(TRUE) depth K=2 took 2413 ms
SMT solver raised 'unknown', retrying with same input.
Mar 26, 2019 7:15:43 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: Induction result is SAT, non conclusive we might be starting from unreachable statesNQueens-PT-12-ReachabilityCardinality-12
Mar 26, 2019 7:15:43 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
INFO: KInduction solution for property NQueens-PT-12-ReachabilityCardinality-12(SAT) depth K=1 took 5011 ms
Mar 26, 2019 7:15:44 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-07(UNSAT) depth K=2 took 4131 ms
SMT solver raised 'unknown', retrying with same input.
SMT solver raised 'unknown' twice, overapproximating result to 1.
Mar 26, 2019 7:15:45 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of co-enabling matrix(0/144) took 13332 ms. Total solver calls (SAT/UNSAT): 65(65/0)
Mar 26, 2019 7:15:45 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Finished co-enabling matrix. took 13333 ms. Total solver calls (SAT/UNSAT): 65(65/0)
Mar 26, 2019 7:15:45 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeDoNotAccord
INFO: Computing Do-Not-Accords matrix : 144 transitions.
Mar 26, 2019 7:15:45 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Completed DNA matrix. took 5 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:15:45 PM fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext transform
INFO: Built C files in 20277ms conformant to PINS in folder :/home/mcc/execution
Mar 26, 2019 7:15:50 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-08(UNSAT) depth K=2 took 6574 ms
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solution for property NQueens-PT-12-ReachabilityCardinality-09(UNSAT) depth K=2 took 6404 ms
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd checkProperties
WARNING: Interrupting SMT solver.
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver checkSat
WARNING: SMT solver unexpectedly returned 'unknown' answer, retrying.
java.lang.RuntimeException: SMT solver raised an error :unknown
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:318)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:305)
at fr.lip6.move.gal.gal2smt.bmc.KInductionSolver.verify(KInductionSolver.java:573)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runKInduction(Gal2SMTFrontEnd.java:301)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.access$1(Gal2SMTFrontEnd.java:274)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd$2.run(Gal2SMTFrontEnd.java:166)
at java.lang.Thread.run(Thread.java:748)
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runKInduction
WARNING: Unexpected error occurred while running SMT. Was verifying NQueens-PT-12-ReachabilityCardinality-11 K-induction depth 2
Exception in thread "Thread-8" java.lang.RuntimeException: java.lang.RuntimeException: SMT solver raised an error :unknown
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runKInduction(Gal2SMTFrontEnd.java:336)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.access$1(Gal2SMTFrontEnd.java:274)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd$2.run(Gal2SMTFrontEnd.java:166)
at java.lang.Thread.run(Thread.java:748)
Caused by: java.lang.RuntimeException: SMT solver raised an error :unknown
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:318)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:305)
at fr.lip6.move.gal.gal2smt.bmc.KInductionSolver.verify(KInductionSolver.java:573)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runKInduction(Gal2SMTFrontEnd.java:301)
... 3 more
java.lang.RuntimeException: SMT solver raised an exception or timeout :(error "Solver has unexpectedly terminated")
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:297)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.verifyAssertion(NextBMCSolver.java:452)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.verify(NextBMCSolver.java:435)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runBMC(Gal2SMTFrontEnd.java:378)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.access$0(Gal2SMTFrontEnd.java:350)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd$1.run(Gal2SMTFrontEnd.java:159)
at java.lang.Thread.run(Thread.java:748)
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
WARNING: Unexpected error occurred while running SMT. Was verifying NQueens-PT-12-ReachabilityCardinality-11 SMT depth 2
java.lang.RuntimeException: java.lang.RuntimeException: SMT solver raised an exception or timeout :(error "Solver has unexpectedly terminated")
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runBMC(Gal2SMTFrontEnd.java:404)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.access$0(Gal2SMTFrontEnd.java:350)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd$1.run(Gal2SMTFrontEnd.java:159)
at java.lang.Thread.run(Thread.java:748)
Caused by: java.lang.RuntimeException: SMT solver raised an exception or timeout :(error "Solver has unexpectedly terminated")
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.checkSat(NextBMCSolver.java:297)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.verifyAssertion(NextBMCSolver.java:452)
at fr.lip6.move.gal.gal2smt.bmc.NextBMCSolver.verify(NextBMCSolver.java:435)
at fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd.runBMC(Gal2SMTFrontEnd.java:378)
... 3 more
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: During BMC, SMT solver timed out at depth 2
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.gal2smt.Gal2SMTFrontEnd runBMC
INFO: BMC solving timed out (3600000 secs) at depth 2
Mar 26, 2019 7:15:57 PM fr.lip6.move.gal.application.SMTRunner$2 run
INFO: SMT solved 13/ 15 properties. Interrupting other analysis methods.

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="NQueens-PT-12"
export BK_EXAMINATION="ReachabilityCardinality"
export BK_TOOL="itstoolsm"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"

# 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 2-3954"
echo " Executing tool itstoolsm"
echo " Input is NQueens-PT-12, 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 r197-oct2-155272230100035"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/NQueens-PT-12.tgz
mv NQueens-PT-12 execution
cd execution
if [ "ReachabilityCardinality" = "GlobalProperties" ] ; then
rm -f GenericPropertiesVerdict.xml
fi
if [ "ReachabilityCardinality" = "UpperBounds" ] ; 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
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 ;