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-oct2-155272230100042.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-15, examination is LTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r197-oct2-155272230100042
=====================================================================

--------------------
preparation of the directory to be used:
/home/mcc/execution
total 368K
-rw-r--r-- 1 mcc users 3.7K Feb 11 23:02 CTLCardinality.txt
-rw-r--r-- 1 mcc users 21K Feb 11 23:02 CTLCardinality.xml
-rw-r--r-- 1 mcc users 3.1K Feb 7 23:56 CTLFireability.txt
-rw-r--r-- 1 mcc users 20K Feb 7 23:56 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 13K Feb 5 00:15 LTLCardinality.xml
-rw-r--r-- 1 mcc users 1.9K Feb 4 22:36 LTLFireability.txt
-rw-r--r-- 1 mcc users 8.5K 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 3.0K Feb 1 00:06 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 16K 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 193K 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-15-LTLCardinality-00
FORMULA_NAME NQueens-PT-15-LTLCardinality-01
FORMULA_NAME NQueens-PT-15-LTLCardinality-02
FORMULA_NAME NQueens-PT-15-LTLCardinality-03
FORMULA_NAME NQueens-PT-15-LTLCardinality-04
FORMULA_NAME NQueens-PT-15-LTLCardinality-05
FORMULA_NAME NQueens-PT-15-LTLCardinality-06
FORMULA_NAME NQueens-PT-15-LTLCardinality-07
FORMULA_NAME NQueens-PT-15-LTLCardinality-08
FORMULA_NAME NQueens-PT-15-LTLCardinality-09
FORMULA_NAME NQueens-PT-15-LTLCardinality-10
FORMULA_NAME NQueens-PT-15-LTLCardinality-11
FORMULA_NAME NQueens-PT-15-LTLCardinality-12
FORMULA_NAME NQueens-PT-15-LTLCardinality-13
FORMULA_NAME NQueens-PT-15-LTLCardinality-14
FORMULA_NAME NQueens-PT-15-LTLCardinality-15

=== Now, execution of the tool begins

BK_START 1553627871025

Working with output stream class java.io.PrintStream
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-ltl-linux64, --gc-threshold, 2000000, -i, /home/mcc/execution/LTLCardinality.pnml.gal, -t, CGAL, -LTL, /home/mcc/execution/LTLCardinality.ltl, -c, -stutter-deadlock, --load-order, /home/mcc/execution/model.ord], workingDir=/home/mcc/execution]

its-ltl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201903251645/bin/its-ltl-linux64 --gc-threshold 2000000 -i /home/mcc/execution/LTLCardinality.pnml.gal -t CGAL -LTL /home/mcc/execution/LTLCardinality.ltl -c -stutter-deadlock --load-order /home/mcc/execution/model.ord
Read 16 LTL properties
Successfully loaded order from file /home/mcc/execution/model.ord
Checking formula 0 : !((F((F("(P_6_1<=P_6_11)"))U(F("(L_26>=3)")))))
Formula 0 simplified : !F(F"(P_6_1<=P_6_11)" U F"(L_26>=3)")
Presburger conditions satisfied. Using coverability to approximate state space in K-Induction.
// Phase 1: matrix 225 rows 313 cols
invariant :P_0_10 + P_3_10 + P_4_9 + P_4_10 + P_4_11 + P_5_8 + P_5_9 + 2'P_5_10 + P_5_11 + P_5_12 + P_6_7 + P_6_8 + 2'P_6_9 + 2'P_6_10 + 2'P_6_11 + P_6_12 + P_6_13 + P_7_6 + P_7_7 + 2'P_7_8 + 2'P_7_9 + 3'P_7_10 + 2'P_7_11 + 2'P_7_12 + P_7_13 + P_8_5 + P_8_6 + 2'P_8_7 + 2'P_8_8 + 3'P_8_9 + 3'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_4 + P_9_5 + 2'P_9_6 + 2'P_9_7 + 3'P_9_8 + 3'P_9_9 + 4'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 3'P_10_7 + 3'P_10_8 + 4'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_2 + P_11_3 + 2'P_11_4 + 2'P_11_5 + 3'P_11_6 + 3'P_11_7 + 4'P_11_8 + 4'P_11_9 + 4'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_3 + P_12_4 + 2'P_12_5 + 2'P_12_6 + 3'P_12_7 + 3'P_12_8 + 3'P_12_9 + 3'P_12_10 + 2'P_12_11 + P_12_12 + P_13_4 + P_13_5 + 2'P_13_6 + 2'P_13_7 + 2'P_13_8 + 2'P_13_9 + 2'P_13_10 + P_13_11 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + -1'cX_12 + -2'cX_13 + -3'cX_14 + -1'cY_11 + -2'cY_12 + -3'cY_13 + -4'cY_14 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_26 + L_27 + 2'L_28 + R_14 + R_15 + 2'R_16 + 2'R_17 + 3'R_18 + 3'R_19 + 4'R_20 + 4'R_21 + 4'R_22 + 4'R_23 + 4'R_24 + 4'R_25 + 4'R_26 + 5'R_27 + 6'R_28 + 7'R_29 = 55
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_6_11 + 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 + 2'P_7_10 + P_7_11 + P_7_12 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 2'P_8_8 + 2'P_8_9 + P_8_10 + P_8_11 + P_9_4 + P_9_5 + 2'P_9_6 + 2'P_9_7 + 2'P_9_8 + P_9_9 + P_9_10 + P_10_5 + P_10_6 + 2'P_10_7 + P_10_8 + P_10_9 + P_11_6 + P_11_7 + P_11_8 + P_12_7 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -5'cX_12 + -6'cX_13 + -7'cX_14 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + -5'cY_12 + -6'cY_13 + -7'cY_14 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_22 + L_23 + 2'L_24 + 2'L_25 + 3'L_26 + 3'L_27 + 4'L_28 + 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 + 6'R_21 + 7'R_22 + 8'R_23 + 9'R_24 + 10'R_25 + 11'R_26 + 12'R_27 + 13'R_28 + 14'R_29 = 102
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 + L_24 + L_26 + L_28 + -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'R_25 + -1'R_27 + -1'R_29 = 0
invariant :P_11_0 + -1'P_12_2 + -1'P_12_3 + -1'P_12_4 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_12_12 + -1'P_12_13 + -1'P_13_3 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_13_12 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_25 + L_26 + L_27 + L_28 + R_27 + R_28 + R_29 = 4
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_3_11 + -1'P_3_12 + -1'P_3_13 + -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 + -2'P_4_10 + -2'P_4_11 + -2'P_4_12 + -1'P_4_13 + -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 + -3'P_5_9 + -3'P_5_10 + -3'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -3'P_6_5 + -4'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -4'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_2 + -2'P_7_3 + -3'P_7_4 + -4'P_7_5 + -4'P_7_6 + -5'P_7_7 + -5'P_7_8 + -5'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -5'P_8_7 + -6'P_8_8 + -5'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -6'P_9_7 + -5'P_9_8 + -5'P_9_9 + -4'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -4'P_10_5 + -5'P_10_6 + -5'P_10_7 + -5'P_10_8 + -4'P_10_9 + -4'P_10_10 + -3'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_2 + -2'P_11_3 + -3'P_11_4 + -4'P_11_5 + -4'P_11_6 + -4'P_11_7 + -4'P_11_8 + -4'P_11_9 + -3'P_11_10 + -3'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_2 + -2'P_12_3 + -3'P_12_4 + -3'P_12_5 + -3'P_12_6 + -3'P_12_7 + -3'P_12_8 + -3'P_12_9 + -3'P_12_10 + -2'P_12_11 + -2'P_12_12 + -1'P_12_13 + -1'P_13_2 + -2'P_13_3 + -2'P_13_4 + -2'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -2'P_13_10 + -2'P_13_11 + -1'P_13_12 + -1'P_13_13 + -1'P_14_2 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -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 + -10'cX_12 + -11'cX_13 + -12'cX_14 + -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 + -11'cY_12 + -12'cY_13 + -13'cY_14 + 7'L_0 + 6'L_1 + 6'L_2 + 5'L_3 + 5'L_4 + 4'L_5 + 4'L_6 + 3'L_7 + 3'L_8 + 2'L_9 + 2'L_10 + L_11 + L_12 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + 3'L_23 + 4'L_24 + 4'L_25 + 5'L_26 + 5'L_27 + 6'L_28 + 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 + 9'R_18 + 10'R_19 + 12'R_20 + 13'R_21 + 15'R_22 + 16'R_23 + 18'R_24 + 19'R_25 + 21'R_26 + 22'R_27 + 24'R_28 + 25'R_29 = 176
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_4_11 + -1'P_4_12 + -1'P_4_13 + -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 + -2'P_5_10 + -2'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_3 + -2'P_6_4 + -2'P_6_5 + -3'P_6_6 + -3'P_6_7 + -3'P_6_8 + -3'P_6_9 + -3'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -3'P_7_6 + -4'P_7_7 + -4'P_7_8 + -4'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -4'P_8_7 + -5'P_8_8 + -5'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -4'P_9_6 + -5'P_9_7 + -5'P_9_8 + -5'P_9_9 + -4'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -4'P_10_6 + -5'P_10_7 + -5'P_10_8 + -4'P_10_9 + -4'P_10_10 + -3'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_3 + -2'P_11_4 + -3'P_11_5 + -4'P_11_6 + -4'P_11_7 + -4'P_11_8 + -4'P_11_9 + -3'P_11_10 + -3'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_3 + -2'P_12_4 + -3'P_12_5 + -3'P_12_6 + -3'P_12_7 + -3'P_12_8 + -3'P_12_9 + -3'P_12_10 + -2'P_12_11 + -2'P_12_12 + -1'P_12_13 + -1'P_13_3 + -2'P_13_4 + -2'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -2'P_13_10 + -2'P_13_11 + -1'P_13_12 + -1'P_13_13 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -9'cX_12 + -10'cX_13 + -11'cX_14 + -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 + -10'cY_12 + -11'cY_13 + -12'cY_14 + 7'L_0 + 6'L_1 + 6'L_2 + 5'L_3 + 5'L_4 + 4'L_5 + 4'L_6 + 3'L_7 + 3'L_8 + 2'L_9 + 2'L_10 + L_11 + L_12 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + 3'L_23 + 4'L_24 + 4'L_25 + 5'L_26 + 5'L_27 + 6'L_28 + 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 + 6'R_16 + 6'R_17 + 7'R_18 + 8'R_19 + 10'R_20 + 11'R_21 + 13'R_22 + 14'R_23 + 16'R_24 + 17'R_25 + 19'R_26 + 20'R_27 + 22'R_28 + 23'R_29 = 163
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_4_11 + -1'P_4_12 + -1'P_4_13 + -1'P_5_5 + -1'P_5_6 + -2'P_5_7 + -2'P_5_8 + -2'P_5_9 + -2'P_5_10 + -2'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_4 + -1'P_6_5 + -2'P_6_6 + -2'P_6_7 + -3'P_6_8 + -3'P_6_9 + -3'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_4 + -2'P_7_5 + -2'P_7_6 + -3'P_7_7 + -3'P_7_8 + -4'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_4 + -2'P_8_5 + -3'P_8_6 + -3'P_8_7 + -4'P_8_8 + -4'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_4 + -2'P_9_5 + -3'P_9_6 + -4'P_9_7 + -4'P_9_8 + -4'P_9_9 + -3'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_4 + -2'P_10_5 + -3'P_10_6 + -4'P_10_7 + -4'P_10_8 + -3'P_10_9 + -3'P_10_10 + -2'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_4 + -2'P_11_5 + -3'P_11_6 + -3'P_11_7 + -3'P_11_8 + -3'P_11_9 + -2'P_11_10 + -2'P_11_11 + -1'P_11_12 + -1'P_11_13 + -1'P_12_4 + -2'P_12_5 + -2'P_12_6 + -2'P_12_7 + -2'P_12_8 + -2'P_12_9 + -2'P_12_10 + -1'P_12_11 + -1'P_12_12 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'cX_4 + -2'cX_5 + -3'cX_6 + -4'cX_7 + -5'cX_8 + -6'cX_9 + -7'cX_10 + -8'cX_11 + -9'cX_12 + -10'cX_13 + -11'cX_14 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + -9'cY_12 + -10'cY_13 + -11'cY_14 + 6'L_0 + 5'L_1 + 5'L_2 + 4'L_3 + 4'L_4 + 3'L_5 + 3'L_6 + 2'L_7 + 2'L_8 + L_9 + L_10 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + 3'L_23 + 4'L_24 + 4'L_25 + 5'L_26 + 5'L_27 + 6'L_28 + 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 + 6'R_16 + 6'R_17 + 7'R_18 + 8'R_19 + 10'R_20 + 11'R_21 + 13'R_22 + 14'R_23 + 16'R_24 + 17'R_25 + 19'R_26 + 20'R_27 + 21'R_28 + 22'R_29 = 160
invariant :P_1_12 + -1'P_3_11 + -1'P_3_12 + -1'P_3_13 + -1'P_4_10 + -2'P_4_11 + -2'P_4_12 + -2'P_4_13 + -1'P_5_9 + -2'P_5_10 + -3'P_5_11 + -3'P_5_12 + -2'P_5_13 + -1'P_6_8 + -2'P_6_9 + -3'P_6_10 + -4'P_6_11 + -3'P_6_12 + -2'P_6_13 + -1'P_7_7 + -2'P_7_8 + -3'P_7_9 + -4'P_7_10 + -4'P_7_11 + -3'P_7_12 + -2'P_7_13 + -1'P_8_6 + -2'P_8_7 + -3'P_8_8 + -4'P_8_9 + -4'P_8_10 + -4'P_8_11 + -3'P_8_12 + -2'P_8_13 + -1'P_9_5 + -2'P_9_6 + -3'P_9_7 + -4'P_9_8 + -4'P_9_9 + -4'P_9_10 + -4'P_9_11 + -3'P_9_12 + -2'P_9_13 + -1'P_10_4 + -2'P_10_5 + -3'P_10_6 + -4'P_10_7 + -4'P_10_8 + -4'P_10_9 + -4'P_10_10 + -4'P_10_11 + -3'P_10_12 + -2'P_10_13 + -1'P_11_3 + -2'P_11_4 + -3'P_11_5 + -4'P_11_6 + -4'P_11_7 + -4'P_11_8 + -4'P_11_9 + -4'P_11_10 + -4'P_11_11 + -3'P_11_12 + -2'P_11_13 + -1'P_12_2 + -2'P_12_3 + -3'P_12_4 + -4'P_12_5 + -4'P_12_6 + -4'P_12_7 + -4'P_12_8 + -4'P_12_9 + -4'P_12_10 + -4'P_12_11 + -3'P_12_12 + -2'P_12_13 + -1'P_13_2 + -2'P_13_3 + -3'P_13_4 + -3'P_13_5 + -3'P_13_6 + -3'P_13_7 + -3'P_13_8 + -3'P_13_9 + -3'P_13_10 + -3'P_13_11 + -2'P_13_12 + -1'P_13_13 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + cX_13 + 3'cX_14 + cY_12 + 2'cY_13 + 4'cY_14 + -3'L_0 + -2'L_1 + -1'L_2 + -1'L_27 + -2'L_28 + -1'R_15 + -2'R_16 + -3'R_17 + -4'R_18 + -4'R_19 + -4'R_20 + -4'R_21 + -4'R_22 + -4'R_23 + -4'R_24 + -4'R_25 + -4'R_26 + -4'R_27 + -5'R_28 + -7'R_29 = -56
invariant :P_2_10 + P_3_9 + P_3_10 + P_3_11 + P_4_8 + P_4_9 + 2'P_4_10 + P_4_11 + P_4_12 + P_5_7 + P_5_8 + 2'P_5_9 + 2'P_5_10 + 2'P_5_11 + P_5_12 + P_5_13 + P_6_6 + P_6_7 + 2'P_6_8 + 2'P_6_9 + 3'P_6_10 + 2'P_6_11 + 2'P_6_12 + P_6_13 + P_7_5 + P_7_6 + 2'P_7_7 + 2'P_7_8 + 3'P_7_9 + 3'P_7_10 + 3'P_7_11 + 2'P_7_12 + P_7_13 + P_8_4 + P_8_5 + 2'P_8_6 + 2'P_8_7 + 3'P_8_8 + 3'P_8_9 + 4'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 3'P_9_8 + 4'P_9_9 + 4'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_2 + P_10_3 + 2'P_10_4 + 2'P_10_5 + 3'P_10_6 + 3'P_10_7 + 4'P_10_8 + 4'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_3 + P_11_4 + 2'P_11_5 + 2'P_11_6 + 3'P_11_7 + 3'P_11_8 + 3'P_11_9 + 3'P_11_10 + 2'P_11_11 + P_11_12 + P_12_4 + P_12_5 + 2'P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + 2'P_12_10 + P_12_11 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + -1'cX_11 + -2'cX_12 + -3'cX_13 + -4'cX_14 + -1'cY_11 + -2'cY_12 + -3'cY_13 + -4'cY_14 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_25 + L_26 + 2'L_27 + 2'L_28 + R_13 + R_14 + 2'R_15 + 2'R_16 + 3'R_17 + 3'R_18 + 4'R_19 + 4'R_20 + 4'R_21 + 4'R_22 + 4'R_23 + 4'R_24 + 4'R_25 + 5'R_26 + 6'R_27 + 7'R_28 + 8'R_29 = 58
invariant :P_1_11 + -1'P_3_10 + -1'P_3_11 + -1'P_3_12 + -1'P_4_9 + -2'P_4_10 + -2'P_4_11 + -2'P_4_12 + -1'P_4_13 + -1'P_5_8 + -2'P_5_9 + -3'P_5_10 + -3'P_5_11 + -3'P_5_12 + -2'P_5_13 + -1'P_6_7 + -2'P_6_8 + -3'P_6_9 + -4'P_6_10 + -4'P_6_11 + -4'P_6_12 + -2'P_6_13 + -1'P_7_6 + -2'P_7_7 + -3'P_7_8 + -4'P_7_9 + -5'P_7_10 + -5'P_7_11 + -4'P_7_12 + -2'P_7_13 + -1'P_8_5 + -2'P_8_6 + -3'P_8_7 + -4'P_8_8 + -5'P_8_9 + -6'P_8_10 + -5'P_8_11 + -4'P_8_12 + -2'P_8_13 + -1'P_9_4 + -2'P_9_5 + -3'P_9_6 + -4'P_9_7 + -5'P_9_8 + -6'P_9_9 + -6'P_9_10 + -5'P_9_11 + -4'P_9_12 + -2'P_9_13 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -4'P_10_6 + -5'P_10_7 + -6'P_10_8 + -6'P_10_9 + -6'P_10_10 + -5'P_10_11 + -4'P_10_12 + -2'P_10_13 + -1'P_11_2 + -2'P_11_3 + -3'P_11_4 + -4'P_11_5 + -5'P_11_6 + -6'P_11_7 + -6'P_11_8 + -6'P_11_9 + -6'P_11_10 + -5'P_11_11 + -4'P_11_12 + -2'P_11_13 + -1'P_12_2 + -2'P_12_3 + -3'P_12_4 + -4'P_12_5 + -5'P_12_6 + -5'P_12_7 + -5'P_12_8 + -5'P_12_9 + -5'P_12_10 + -4'P_12_11 + -3'P_12_12 + -1'P_12_13 + -1'P_13_3 + -2'P_13_4 + -3'P_13_5 + -3'P_13_6 + -3'P_13_7 + -3'P_13_8 + -3'P_13_9 + -3'P_13_10 + -2'P_13_11 + -1'P_13_12 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + cX_12 + 3'cX_13 + 5'cX_14 + cY_11 + 2'cY_12 + 4'cY_13 + 6'cY_14 + -4'L_0 + -3'L_1 + -2'L_2 + -1'L_3 + -1'L_26 + -2'L_27 + -3'L_28 + -1'R_14 + -2'R_15 + -3'R_16 + -4'R_17 + -5'R_18 + -6'R_19 + -6'R_20 + -6'R_21 + -6'R_22 + -6'R_23 + -6'R_24 + -6'R_25 + -6'R_26 + -7'R_27 + -9'R_28 + -11'R_29 = -84
invariant :L_1 + L_3 + L_5 + L_7 + L_9 + L_11 + L_13 + L_15 + L_17 + L_19 + L_21 + L_23 + L_25 + L_27 + -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'R_24 + -1'R_26 + -1'R_28 = 0
invariant :P_12_14 + P_13_13 + P_14_12 + R_27 = 1
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_5_11 + -1'P_5_12 + -1'P_5_13 + -1'P_6_5 + -1'P_6_6 + -2'P_6_7 + -2'P_6_8 + -2'P_6_9 + -2'P_6_10 + -2'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_4 + -1'P_7_5 + -2'P_7_6 + -2'P_7_7 + -3'P_7_8 + -3'P_7_9 + -3'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_4 + -2'P_8_5 + -2'P_8_6 + -3'P_8_7 + -3'P_8_8 + -4'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_4 + -2'P_9_5 + -3'P_9_6 + -3'P_9_7 + -4'P_9_8 + -4'P_9_9 + -4'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_4 + -2'P_10_5 + -3'P_10_6 + -4'P_10_7 + -4'P_10_8 + -4'P_10_9 + -3'P_10_10 + -3'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_4 + -2'P_11_5 + -3'P_11_6 + -4'P_11_7 + -4'P_11_8 + -3'P_11_9 + -3'P_11_10 + -2'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_4 + -2'P_12_5 + -3'P_12_6 + -3'P_12_7 + -3'P_12_8 + -3'P_12_9 + -2'P_12_10 + -2'P_12_11 + -1'P_12_12 + -1'P_12_13 + -1'P_13_4 + -2'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -2'P_13_10 + -1'P_13_11 + -1'P_13_12 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -8'cX_12 + -9'cX_13 + -10'cX_14 + -1'cY_4 + -2'cY_5 + -3'cY_6 + -4'cY_7 + -5'cY_8 + -6'cY_9 + -7'cY_10 + -8'cY_11 + -9'cY_12 + -10'cY_13 + -11'cY_14 + 6'L_0 + 6'L_1 + 5'L_2 + 5'L_3 + 4'L_4 + 4'L_5 + 3'L_6 + 3'L_7 + 2'L_8 + 2'L_9 + L_10 + L_11 + L_19 + L_20 + 2'L_21 + 2'L_22 + 3'L_23 + 3'L_24 + 4'L_25 + 4'L_26 + 5'L_27 + 5'L_28 + 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 + 6'R_17 + 6'R_18 + 7'R_19 + 8'R_20 + 10'R_21 + 11'R_22 + 13'R_23 + 14'R_24 + 16'R_25 + 17'R_26 + 19'R_27 + 20'R_28 + 21'R_29 = 149
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_5_11 + P_6_6 + P_6_7 + 2'P_6_8 + 2'P_6_9 + 2'P_6_10 + P_6_11 + P_6_12 + P_7_5 + P_7_6 + 2'P_7_7 + 2'P_7_8 + 3'P_7_9 + 2'P_7_10 + 2'P_7_11 + P_7_12 + P_7_13 + P_8_4 + P_8_5 + 2'P_8_6 + 2'P_8_7 + 3'P_8_8 + 3'P_8_9 + 3'P_8_10 + 2'P_8_11 + 2'P_8_12 + P_8_13 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 3'P_9_8 + 4'P_9_9 + 3'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_2 + P_10_3 + 2'P_10_4 + 2'P_10_5 + 3'P_10_6 + 3'P_10_7 + 4'P_10_8 + 4'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_3 + P_11_4 + 2'P_11_5 + 2'P_11_6 + 3'P_11_7 + 3'P_11_8 + 4'P_11_9 + 3'P_11_10 + 2'P_11_11 + P_11_12 + P_12_4 + P_12_5 + 2'P_12_6 + 2'P_12_7 + 3'P_12_8 + 3'P_12_9 + 2'P_12_10 + P_12_11 + P_13_5 + P_13_6 + 2'P_13_7 + 2'P_13_8 + 2'P_13_9 + P_13_10 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + -1'cX_11 + -2'cX_12 + -3'cX_13 + -4'cX_14 + -1'cY_10 + -2'cY_11 + -3'cY_12 + -4'cY_13 + -5'cY_14 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_25 + L_26 + 2'L_27 + 2'L_28 + R_13 + R_14 + 2'R_15 + 2'R_16 + 3'R_17 + 3'R_18 + 4'R_19 + 4'R_20 + 5'R_21 + 5'R_22 + 5'R_23 + 5'R_24 + 5'R_25 + 6'R_26 + 7'R_27 + 8'R_28 + 9'R_29 = 68
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_7_11 + P_7_12 + P_7_13 + 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_8_11 + P_8_12 + 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_9_11 + P_10_4 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_12_6 + P_12_7 + P_12_8 + P_13_7 + -1'P_14_7 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_21 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -8
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_6_11 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 3'P_7_8 + 2'P_7_9 + 2'P_7_10 + P_7_11 + P_7_12 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 3'P_8_9 + 2'P_8_10 + 2'P_8_11 + P_8_12 + P_8_13 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 4'P_9_8 + 3'P_9_9 + 3'P_9_10 + 2'P_9_11 + 2'P_9_12 + P_9_13 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 3'P_10_7 + 3'P_10_8 + 3'P_10_9 + 2'P_10_10 + 2'P_10_11 + P_10_12 + P_11_4 + P_11_5 + 2'P_11_6 + 2'P_11_7 + 3'P_11_8 + 2'P_11_9 + 2'P_11_10 + P_11_11 + P_12_5 + P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + P_12_10 + P_13_6 + P_13_7 + 2'P_13_8 + P_13_9 + P_14_7 + P_14_8 + -1'cX_10 + -2'cX_11 + -3'cX_12 + -4'cX_13 + -5'cX_14 + -1'cY_9 + -2'cY_10 + -3'cY_11 + -4'cY_12 + -5'cY_13 + -6'cY_14 + 4'L_0 + 3'L_1 + 3'L_2 + 2'L_3 + 2'L_4 + L_5 + L_6 + L_24 + L_25 + 2'L_26 + 2'L_27 + 3'L_28 + R_12 + R_13 + 2'R_14 + 2'R_15 + 3'R_16 + 3'R_17 + 4'R_18 + 4'R_19 + 5'R_20 + 5'R_21 + 6'R_22 + 6'R_23 + 6'R_24 + 7'R_25 + 8'R_26 + 9'R_27 + 10'R_28 + 11'R_29 = 82
invariant :P_0_0 + R_1 = 1
invariant :P_2_13 + P_3_12 + P_3_13 + P_4_11 + P_4_12 + P_4_13 + P_5_10 + P_5_11 + P_5_12 + P_5_13 + P_6_9 + P_6_10 + P_6_11 + P_6_12 + P_6_13 + P_7_8 + P_7_9 + P_7_10 + P_7_11 + P_7_12 + P_7_13 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_8_11 + P_8_12 + P_8_13 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_9_11 + P_9_12 + P_9_13 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_10_11 + P_10_12 + P_10_13 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + P_11_11 + P_11_12 + P_11_13 + P_12_3 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_12_11 + P_12_12 + P_12_13 + P_13_2 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + P_13_13 + -1'cX_14 + -1'cY_14 + L_0 + L_28 + R_16 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + 2'R_29 = 15
invariant :P_1_10 + -1'P_3_9 + -1'P_3_10 + -1'P_3_11 + -1'P_4_8 + -2'P_4_9 + -2'P_4_10 + -2'P_4_11 + -1'P_4_12 + -1'P_5_7 + -2'P_5_8 + -3'P_5_9 + -3'P_5_10 + -3'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_6 + -2'P_6_7 + -3'P_6_8 + -4'P_6_9 + -4'P_6_10 + -4'P_6_11 + -3'P_6_12 + -2'P_6_13 + -1'P_7_5 + -2'P_7_6 + -3'P_7_7 + -4'P_7_8 + -5'P_7_9 + -5'P_7_10 + -5'P_7_11 + -4'P_7_12 + -2'P_7_13 + -1'P_8_4 + -2'P_8_5 + -3'P_8_6 + -4'P_8_7 + -5'P_8_8 + -6'P_8_9 + -6'P_8_10 + -6'P_8_11 + -4'P_8_12 + -2'P_8_13 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -4'P_9_6 + -5'P_9_7 + -6'P_9_8 + -7'P_9_9 + -7'P_9_10 + -6'P_9_11 + -4'P_9_12 + -2'P_9_13 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -4'P_10_5 + -5'P_10_6 + -6'P_10_7 + -7'P_10_8 + -8'P_10_9 + -7'P_10_10 + -6'P_10_11 + -4'P_10_12 + -2'P_10_13 + -1'P_11_2 + -2'P_11_3 + -3'P_11_4 + -4'P_11_5 + -5'P_11_6 + -6'P_11_7 + -7'P_11_8 + -7'P_11_9 + -6'P_11_10 + -5'P_11_11 + -3'P_11_12 + -1'P_11_13 + -1'P_12_3 + -2'P_12_4 + -3'P_12_5 + -4'P_12_6 + -5'P_12_7 + -5'P_12_8 + -5'P_12_9 + -4'P_12_10 + -3'P_12_11 + -1'P_12_12 + -1'P_13_4 + -2'P_13_5 + -3'P_13_6 + -3'P_13_7 + -3'P_13_8 + -3'P_13_9 + -2'P_13_10 + -1'P_13_11 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + cX_11 + 3'cX_12 + 5'cX_13 + 7'cX_14 + cY_10 + 2'cY_11 + 4'cY_12 + 6'cY_13 + 8'cY_14 + -5'L_0 + -4'L_1 + -3'L_2 + -2'L_3 + -1'L_4 + -1'L_25 + -2'L_26 + -3'L_27 + -4'L_28 + -1'R_13 + -2'R_14 + -3'R_15 + -4'R_16 + -5'R_17 + -6'R_18 + -7'R_19 + -8'R_20 + -8'R_21 + -8'R_22 + -8'R_23 + -8'R_24 + -8'R_25 + -9'R_26 + -11'R_27 + -13'R_28 + -15'R_29 = -112
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 + -1'P_8_12 + -1'P_8_13 + P_9_4 + P_9_5 + 2'P_9_6 + P_9_7 + P_9_8 + -1'P_9_11 + -1'P_9_12 + -1'P_9_13 + P_10_5 + P_10_6 + P_10_7 + -1'P_10_10 + -1'P_10_11 + -1'P_10_12 + P_11_6 + -1'P_11_9 + -1'P_11_10 + -1'P_11_11 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_14_7 + -1'P_14_8 + -1'cX_8 + -2'cX_9 + -3'cX_10 + -4'cX_11 + -5'cX_12 + -6'cX_13 + -7'cX_14 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + -6'cY_12 + -7'cY_13 + -8'cY_14 + 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_22 + L_23 + 2'L_24 + 2'L_25 + 3'L_26 + 3'L_27 + 4'L_28 + 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 + 6'R_21 + 7'R_22 + 8'R_23 + 10'R_24 + 11'R_25 + 12'R_26 + 13'R_27 + 14'R_28 + 15'R_29 = 109
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 + 12'cY_12 + 13'cY_13 + 14'cY_14 + -7'L_0 + -6'L_1 + -6'L_2 + -5'L_3 + -5'L_4 + -4'L_5 + -4'L_6 + -3'L_7 + -3'L_8 + -2'L_9 + -2'L_10 + -1'L_11 + -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 + 5'L_23 + 5'L_24 + 6'L_25 + 6'L_26 + 7'L_27 + 7'L_28 + -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 + -12'R_24 + -12'R_25 + -13'R_26 + -13'R_27 + -14'R_28 + -14'R_29 = -98
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_10_11 + P_10_12 + P_10_13 + 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 + P_11_11 + P_11_12 + P_12_3 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_12_11 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -5
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_3_11 + -1'P_3_12 + -1'P_3_13 + -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 + -2'P_4_10 + -2'P_4_11 + -2'P_4_12 + -1'P_4_13 + -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 + -3'P_5_9 + -3'P_5_10 + -3'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_2 + -2'P_6_3 + -3'P_6_4 + -4'P_6_5 + -4'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -4'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -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 + -5'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -6'P_8_7 + -6'P_8_8 + -5'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -6'P_9_7 + -6'P_9_8 + -5'P_9_9 + -4'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -4'P_10_5 + -5'P_10_6 + -5'P_10_7 + -5'P_10_8 + -5'P_10_9 + -4'P_10_10 + -3'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_2 + -2'P_11_3 + -3'P_11_4 + -4'P_11_5 + -4'P_11_6 + -4'P_11_7 + -4'P_11_8 + -4'P_11_9 + -4'P_11_10 + -3'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_2 + -2'P_12_3 + -3'P_12_4 + -3'P_12_5 + -3'P_12_6 + -3'P_12_7 + -3'P_12_8 + -3'P_12_9 + -3'P_12_10 + -3'P_12_11 + -2'P_12_12 + -1'P_12_13 + -1'P_13_2 + -2'P_13_3 + -2'P_13_4 + -2'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -2'P_13_10 + -2'P_13_11 + -2'P_13_12 + -1'P_13_13 + -1'P_14_2 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -1'P_14_13 + -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 + -10'cX_12 + -11'cX_13 + -12'cX_14 + -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 + -11'cY_12 + -12'cY_13 + -13'cY_14 + 7'L_0 + 6'L_1 + 6'L_2 + 5'L_3 + 5'L_4 + 4'L_5 + 4'L_6 + 3'L_7 + 3'L_8 + 2'L_9 + 2'L_10 + L_11 + L_12 + -1'L_15 + L_18 + L_19 + 2'L_20 + 2'L_21 + 3'L_22 + 3'L_23 + 4'L_24 + 4'L_25 + 5'L_26 + 5'L_27 + 6'L_28 + 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 + 6'R_15 + 7'R_16 + 7'R_17 + 9'R_18 + 10'R_19 + 12'R_20 + 13'R_21 + 15'R_22 + 16'R_23 + 18'R_24 + 19'R_25 + 21'R_26 + 22'R_27 + 24'R_28 + 25'R_29 = 176
invariant :P_10_14 + P_11_13 + P_12_12 + P_13_11 + P_14_10 + R_25 = 1
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 + P_7_12 + P_7_13 + -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 + P_8_11 + 2'P_8_12 + 2'P_8_13 + -1'P_9_4 + -2'P_9_5 + -2'P_9_6 + -2'P_9_7 + -1'P_9_8 + P_9_10 + 2'P_9_11 + 2'P_9_12 + P_9_13 + -1'P_10_5 + -1'P_10_6 + -1'P_10_7 + P_10_9 + 2'P_10_10 + 2'P_10_11 + P_10_12 + P_11_8 + 2'P_11_9 + 2'P_11_10 + P_11_11 + P_12_6 + P_12_7 + 2'P_12_8 + 2'P_12_9 + P_12_10 + P_13_6 + 2'P_13_7 + 2'P_13_8 + P_13_9 + P_14_6 + P_14_7 + P_14_8 + cX_7 + 3'cX_8 + 5'cX_9 + 7'cX_10 + 9'cX_11 + 11'cX_12 + 13'cX_13 + 15'cX_14 + cY_6 + 2'cY_7 + 4'cY_8 + 6'cY_9 + 8'cY_10 + 10'cY_11 + 12'cY_12 + 14'cY_13 + 16'cY_14 + -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_21 + -2'L_22 + -3'L_23 + -4'L_24 + -5'L_25 + -6'L_26 + -7'L_27 + -8'L_28 + -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 + -12'R_20 + -13'R_21 + -15'R_22 + -18'R_23 + -21'R_24 + -23'R_25 + -25'R_26 + -27'R_27 + -29'R_28 + -31'R_29 = -224
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_5_11 + P_5_12 + P_5_13 + 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_6_11 + P_6_12 + 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_7_11 + P_8_4 + P_8_5 + P_8_6 + P_8_7 + P_8_8 + P_8_9 + P_8_10 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_10_6 + P_10_7 + P_10_8 + P_11_7 + -1'P_12_7 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -10
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_10_11 + -1'P_10_12 + -1'P_10_13 + -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'P_11_11 + -1'P_11_12 + -1'P_12_4 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_25 + R_26 + R_27 + R_28 + R_29 = 6
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_3_11 + P_3_12 + P_3_13 + 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 + 3'P_4_10 + 3'P_4_11 + 3'P_4_12 + 2'P_4_13 + 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 + 5'P_5_9 + 5'P_5_10 + 5'P_5_11 + 4'P_5_12 + 2'P_5_13 + P_6_2 + 2'P_6_3 + 4'P_6_4 + 5'P_6_5 + 6'P_6_6 + 7'P_6_7 + 7'P_6_8 + 7'P_6_9 + 7'P_6_10 + 6'P_6_11 + 4'P_6_12 + 2'P_6_13 + P_7_2 + 2'P_7_3 + 4'P_7_4 + 6'P_7_5 + 7'P_7_6 + 8'P_7_7 + 9'P_7_8 + 9'P_7_9 + 8'P_7_10 + 6'P_7_11 + 4'P_7_12 + 2'P_7_13 + P_8_2 + 2'P_8_3 + 4'P_8_4 + 6'P_8_5 + 8'P_8_6 + 9'P_8_7 + 10'P_8_8 + 10'P_8_9 + 8'P_8_10 + 6'P_8_11 + 4'P_8_12 + 2'P_8_13 + P_9_2 + 2'P_9_3 + 4'P_9_4 + 6'P_9_5 + 8'P_9_6 + 10'P_9_7 + 10'P_9_8 + 9'P_9_9 + 8'P_9_10 + 6'P_9_11 + 4'P_9_12 + 2'P_9_13 + P_10_2 + 2'P_10_3 + 4'P_10_4 + 6'P_10_5 + 8'P_10_6 + 9'P_10_7 + 9'P_10_8 + 8'P_10_9 + 7'P_10_10 + 6'P_10_11 + 4'P_10_12 + 2'P_10_13 + P_11_2 + 2'P_11_3 + 4'P_11_4 + 6'P_11_5 + 7'P_11_6 + 7'P_11_7 + 7'P_11_8 + 7'P_11_9 + 6'P_11_10 + 5'P_11_11 + 4'P_11_12 + 2'P_11_13 + P_12_2 + 2'P_12_3 + 4'P_12_4 + 5'P_12_5 + 5'P_12_6 + 5'P_12_7 + 5'P_12_8 + 5'P_12_9 + 5'P_12_10 + 4'P_12_11 + 3'P_12_12 + 2'P_12_13 + P_13_2 + 2'P_13_3 + 3'P_13_4 + 3'P_13_5 + 3'P_13_6 + 3'P_13_7 + 3'P_13_8 + 3'P_13_9 + 3'P_13_10 + 3'P_13_11 + 2'P_13_12 + P_13_13 + P_14_2 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + 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 + 19'cX_12 + 21'cX_13 + 23'cX_14 + 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 + 20'cY_12 + 22'cY_13 + 24'cY_14 + -13'L_0 + -12'L_1 + -11'L_2 + -10'L_3 + -9'L_4 + -8'L_5 + -7'L_6 + -6'L_7 + -5'L_8 + -4'L_9 + -3'L_10 + -2'L_11 + -1'L_12 + -1'L_17 + -2'L_18 + -3'L_19 + -4'L_20 + -5'L_21 + -6'L_22 + -7'L_23 + -8'L_24 + -9'L_25 + -10'L_26 + -11'L_27 + -12'L_28 + -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 + -11'R_15 + -12'R_16 + -13'R_17 + -15'R_18 + -18'R_19 + -21'R_20 + -24'R_21 + -27'R_22 + -30'R_23 + -33'R_24 + -36'R_25 + -39'R_26 + -42'R_27 + -45'R_28 + -47'R_29 = -336
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 + -1'P_7_11 + -1'P_7_12 + -1'P_7_13 + P_8_4 + P_8_5 + P_8_6 + -1'P_8_9 + -1'P_8_10 + -2'P_8_11 + -2'P_8_12 + -1'P_8_13 + P_9_5 + -1'P_9_8 + -1'P_9_9 + -2'P_9_10 + -2'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_7 + -1'P_10_8 + -2'P_10_9 + -2'P_10_10 + -2'P_10_11 + -1'P_10_12 + -1'P_10_13 + -1'P_11_6 + -1'P_11_7 + -2'P_11_8 + -2'P_11_9 + -2'P_11_10 + -1'P_11_11 + -1'P_11_12 + -1'P_12_6 + -2'P_12_7 + -2'P_12_8 + -2'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_13_6 + -2'P_13_7 + -2'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -6'cX_12 + -7'cX_13 + -8'cX_14 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + -7'cY_12 + -8'cY_13 + -9'cY_14 + 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_21 + L_22 + 2'L_23 + 2'L_24 + 3'L_25 + 3'L_26 + 4'L_27 + 4'L_28 + 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 + 6'R_20 + 7'R_21 + 8'R_22 + 10'R_23 + 11'R_24 + 13'R_25 + 14'R_26 + 15'R_27 + 16'R_28 + 17'R_29 = 122
invariant :P_5_14 + P_6_13 + P_7_12 + P_8_11 + P_9_10 + P_10_9 + P_11_8 + P_12_7 + P_13_6 + P_14_5 + R_20 = 1
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_3_11 + P_3_12 + P_3_13 + 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_4_11 + P_4_12 + 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_5_11 + P_6_4 + P_6_5 + 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_8_6 + P_8_7 + P_8_8 + P_9_7 + -1'P_10_7 + -1'P_11_6 + -1'P_11_7 + -1'P_11_8 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + cX_3 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_17 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -12
invariant :P_0_14 + L_0 = 1
invariant :P_11_14 + P_12_13 + P_13_12 + P_14_11 + R_26 = 1
invariant :P_14_1 + P_14_2 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + P_14_13 + cX_14 + -1'L_28 + -1'R_29 = -1
invariant :P_6_14 + P_7_13 + P_8_12 + P_9_11 + P_10_10 + P_11_9 + P_12_8 + P_13_7 + P_14_6 + R_21 = 1
invariant :P_0_13 + P_3_13 + P_4_12 + P_4_13 + P_5_11 + P_5_12 + P_5_13 + P_6_10 + P_6_11 + P_6_12 + P_6_13 + P_7_9 + P_7_10 + P_7_11 + P_7_12 + P_7_13 + P_8_8 + P_8_9 + P_8_10 + P_8_11 + P_8_12 + P_8_13 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_9_11 + P_9_12 + P_9_13 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_10_10 + P_10_11 + P_10_12 + P_10_13 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + P_11_11 + P_11_12 + P_11_13 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_12_11 + P_12_12 + P_12_13 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + P_13_13 + P_14_2 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + P_14_13 + -1'cY_14 + L_0 + L_1 + R_17 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 14
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_6_11 + P_6_12 + P_6_13 + 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_7_11 + P_7_12 + 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_8_11 + P_9_4 + P_9_5 + P_9_6 + P_9_7 + P_9_8 + P_9_9 + P_9_10 + P_10_5 + P_10_6 + P_10_7 + P_10_8 + P_10_9 + P_11_6 + P_11_7 + P_11_8 + P_12_7 + -1'P_13_7 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_20 + -1'L_21 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_21 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -9
invariant :P_2_12 + P_3_11 + P_3_12 + P_3_13 + P_4_10 + P_4_11 + 2'P_4_12 + P_4_13 + P_5_9 + P_5_10 + 2'P_5_11 + 2'P_5_12 + P_5_13 + P_6_8 + P_6_9 + 2'P_6_10 + 2'P_6_11 + 2'P_6_12 + P_6_13 + P_7_7 + P_7_8 + 2'P_7_9 + 2'P_7_10 + 2'P_7_11 + 2'P_7_12 + P_7_13 + P_8_6 + P_8_7 + 2'P_8_8 + 2'P_8_9 + 2'P_8_10 + 2'P_8_11 + 2'P_8_12 + P_8_13 + P_9_5 + P_9_6 + 2'P_9_7 + 2'P_9_8 + 2'P_9_9 + 2'P_9_10 + 2'P_9_11 + 2'P_9_12 + P_9_13 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + 2'P_10_10 + 2'P_10_11 + 2'P_10_12 + P_10_13 + P_11_3 + P_11_4 + 2'P_11_5 + 2'P_11_6 + 2'P_11_7 + 2'P_11_8 + 2'P_11_9 + 2'P_11_10 + 2'P_11_11 + 2'P_11_12 + P_11_13 + P_12_2 + P_12_3 + 2'P_12_4 + 2'P_12_5 + 2'P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + 2'P_12_10 + 2'P_12_11 + 2'P_12_12 + P_12_13 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + -1'cX_13 + -2'cX_14 + -1'cY_13 + -2'cY_14 + L_0 + L_1 + L_27 + L_28 + R_15 + R_16 + 2'R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 2'R_22 + 2'R_23 + 2'R_24 + 2'R_25 + 2'R_26 + 2'R_27 + 3'R_28 + 4'R_29 = 29
invariant :P_14_14 + R_29 = 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 + -1'P_6_11 + -1'P_6_12 + -1'P_6_13 + P_7_4 + P_7_5 + P_7_6 + -1'P_7_9 + -1'P_7_10 + -2'P_7_11 + -2'P_7_12 + -1'P_7_13 + P_8_5 + -1'P_8_8 + -1'P_8_9 + -2'P_8_10 + -2'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_7 + -1'P_9_8 + -2'P_9_9 + -2'P_9_10 + -2'P_9_11 + -1'P_9_12 + -1'P_9_13 + -1'P_10_6 + -1'P_10_7 + -2'P_10_8 + -2'P_10_9 + -2'P_10_10 + -1'P_10_11 + -1'P_10_12 + -1'P_11_6 + -2'P_11_7 + -2'P_11_8 + -2'P_11_9 + -1'P_11_10 + -1'P_11_11 + -1'P_12_6 + -2'P_12_7 + -2'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -7'cX_12 + -8'cX_13 + -9'cX_14 + -1'cY_6 + -2'cY_7 + -3'cY_8 + -4'cY_9 + -5'cY_10 + -6'cY_11 + -7'cY_12 + -8'cY_13 + -9'cY_14 + 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_20 + L_21 + 2'L_22 + 2'L_23 + 3'L_24 + 3'L_25 + 4'L_26 + 4'L_27 + 5'L_28 + 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 + 6'R_18 + 6'R_19 + 7'R_20 + 8'R_21 + 10'R_22 + 11'R_23 + 13'R_24 + 14'R_25 + 15'R_26 + 16'R_27 + 17'R_28 + 18'R_29 = 131
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_9_11 + P_9_12 + P_9_13 + 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_10_11 + P_10_12 + P_11_3 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + P_11_11 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_14_6 + P_14_7 + P_14_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -6
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 + P_5_11 + P_5_12 + P_5_13 + -1'P_6_3 + -1'P_6_4 + -1'P_6_5 + P_6_7 + 2'P_6_8 + 3'P_6_9 + 3'P_6_10 + 3'P_6_11 + 3'P_6_12 + 2'P_6_13 + P_7_6 + 2'P_7_7 + 3'P_7_8 + 4'P_7_9 + 5'P_7_10 + 5'P_7_11 + 4'P_7_12 + 2'P_7_13 + P_8_4 + P_8_5 + 2'P_8_6 + 3'P_8_7 + 4'P_8_8 + 5'P_8_9 + 6'P_8_10 + 6'P_8_11 + 4'P_8_12 + 2'P_8_13 + P_9_4 + 2'P_9_5 + 3'P_9_6 + 4'P_9_7 + 5'P_9_8 + 6'P_9_9 + 6'P_9_10 + 5'P_9_11 + 4'P_9_12 + 2'P_9_13 + P_10_4 + 2'P_10_5 + 4'P_10_6 + 5'P_10_7 + 6'P_10_8 + 6'P_10_9 + 5'P_10_10 + 4'P_10_11 + 3'P_10_12 + 2'P_10_13 + P_11_4 + 2'P_11_5 + 4'P_11_6 + 6'P_11_7 + 6'P_11_8 + 5'P_11_9 + 4'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_4 + 2'P_12_5 + 4'P_12_6 + 5'P_12_7 + 5'P_12_8 + 4'P_12_9 + 3'P_12_10 + 2'P_12_11 + P_12_12 + P_13_4 + 2'P_13_5 + 3'P_13_6 + 3'P_13_7 + 3'P_13_8 + 3'P_13_9 + 2'P_13_10 + P_13_11 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + cX_5 + 3'cX_6 + 5'cX_7 + 7'cX_8 + 9'cX_9 + 11'cX_10 + 13'cX_11 + 15'cX_12 + 17'cX_13 + 19'cX_14 + cY_4 + 2'cY_5 + 4'cY_6 + 6'cY_7 + 8'cY_8 + 10'cY_9 + 12'cY_10 + 14'cY_11 + 16'cY_12 + 18'cY_13 + 20'cY_14 + -11'L_0 + -10'L_1 + -9'L_2 + -8'L_3 + -7'L_4 + -6'L_5 + -5'L_6 + -4'L_7 + -3'L_8 + -2'L_9 + -1'L_10 + -1'L_19 + -2'L_20 + -3'L_21 + -4'L_22 + -5'L_23 + -6'L_24 + -7'L_25 + -8'L_26 + -9'L_27 + -10'L_28 + -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 + -11'R_17 + -12'R_18 + -13'R_19 + -15'R_20 + -18'R_21 + -21'R_22 + -24'R_23 + -27'R_24 + -30'R_25 + -33'R_26 + -35'R_27 + -37'R_28 + -39'R_29 = -280
invariant :P_4_14 + P_5_13 + P_6_12 + P_7_11 + P_8_10 + P_9_9 + P_10_8 + P_11_7 + P_12_6 + P_13_5 + P_14_4 + R_19 = 1
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_5_11 + P_6_4 + P_6_5 + 2'P_6_6 + 2'P_6_7 + 3'P_6_8 + 2'P_6_9 + 2'P_6_10 + P_6_11 + P_6_12 + P_7_3 + P_7_4 + 2'P_7_5 + 2'P_7_6 + 3'P_7_7 + 3'P_7_8 + 3'P_7_9 + 2'P_7_10 + 2'P_7_11 + P_7_12 + P_7_13 + P_8_2 + P_8_3 + 2'P_8_4 + 2'P_8_5 + 3'P_8_6 + 3'P_8_7 + 4'P_8_8 + 3'P_8_9 + 3'P_8_10 + 2'P_8_11 + 2'P_8_12 + P_8_13 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 3'P_9_8 + 3'P_9_9 + 2'P_9_10 + 2'P_9_11 + P_9_12 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + 3'P_10_8 + 2'P_10_9 + 2'P_10_10 + P_10_11 + P_11_5 + P_11_6 + 2'P_11_7 + 2'P_11_8 + 2'P_11_9 + P_11_10 + P_12_6 + P_12_7 + 2'P_12_8 + P_12_9 + P_13_7 + P_13_8 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -4'cX_12 + -5'cX_13 + -6'cX_14 + -1'cY_9 + -2'cY_10 + -3'cY_11 + -4'cY_12 + -5'cY_13 + -6'cY_14 + 3'L_0 + 3'L_1 + 2'L_2 + 2'L_3 + L_4 + L_5 + L_23 + L_24 + 2'L_25 + 2'L_26 + 3'L_27 + 3'L_28 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 4'R_17 + 4'R_18 + 5'R_19 + 5'R_20 + 6'R_21 + 6'R_22 + 6'R_23 + 7'R_24 + 8'R_25 + 9'R_26 + 10'R_27 + 11'R_28 + 12'R_29 = 87
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_9_11 + -1'P_9_12 + -1'P_9_13 + -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_10_11 + -1'P_10_12 + -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'P_11_11 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_14_7 + -1'P_14_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 7
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_4_11 + P_5_6 + P_5_7 + 2'P_5_8 + 2'P_5_9 + 2'P_5_10 + P_5_11 + P_5_12 + P_6_5 + P_6_6 + 2'P_6_7 + 2'P_6_8 + 3'P_6_9 + 2'P_6_10 + 2'P_6_11 + P_6_12 + P_6_13 + P_7_4 + P_7_5 + 2'P_7_6 + 2'P_7_7 + 3'P_7_8 + 3'P_7_9 + 3'P_7_10 + 2'P_7_11 + 2'P_7_12 + P_7_13 + P_8_3 + P_8_4 + 2'P_8_5 + 2'P_8_6 + 3'P_8_7 + 3'P_8_8 + 4'P_8_9 + 3'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_2 + P_9_3 + 2'P_9_4 + 2'P_9_5 + 3'P_9_6 + 3'P_9_7 + 4'P_9_8 + 4'P_9_9 + 4'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 3'P_10_7 + 3'P_10_8 + 4'P_10_9 + 3'P_10_10 + 2'P_10_11 + P_10_12 + P_11_4 + P_11_5 + 2'P_11_6 + 2'P_11_7 + 3'P_11_8 + 3'P_11_9 + 2'P_11_10 + P_11_11 + P_12_5 + P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + P_12_10 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + -1'cX_10 + -2'cX_11 + -3'cX_12 + -4'cX_13 + -5'cX_14 + -1'cY_10 + -2'cY_11 + -3'cY_12 + -4'cY_13 + -5'cY_14 + 3'L_0 + 2'L_1 + 2'L_2 + L_3 + L_4 + L_24 + L_25 + 2'L_26 + 2'L_27 + 3'L_28 + R_12 + R_13 + 2'R_14 + 2'R_15 + 3'R_16 + 3'R_17 + 4'R_18 + 4'R_19 + 5'R_20 + 5'R_21 + 5'R_22 + 5'R_23 + 5'R_24 + 6'R_25 + 7'R_26 + 8'R_27 + 9'R_28 + 10'R_29 = 73
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_4_11 + P_4_12 + P_4_13 + 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_5_11 + P_5_12 + 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_6_11 + P_7_4 + P_7_5 + 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_9_6 + P_9_7 + P_9_8 + P_10_7 + -1'P_11_7 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + cX_4 + cX_5 + cX_6 + cX_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_18 + -1'L_19 + -1'L_20 + -1'L_21 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -11
invariant :P_13_0 + -1'P_14_2 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -1'P_14_13 + -1'cX_14 + L_27 + L_28 + R_29 = 2
invariant :P_13_14 + P_14_13 + R_28 = 1
invariant :P_13_1 + P_13_2 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + P_13_13 + P_14_2 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + cX_13 + cX_14 + -1'L_27 + -1'L_28 + -1'R_28 + -1'R_29 = -2
invariant :P_14_0 + L_28 = 1
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_3_11 + -1'P_3_12 + -1'P_3_13 + -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 + -2'P_4_10 + -2'P_4_11 + -2'P_4_12 + -1'P_4_13 + -1'P_5_3 + -2'P_5_4 + -2'P_5_5 + -3'P_5_6 + -3'P_5_7 + -3'P_5_8 + -3'P_5_9 + -3'P_5_10 + -3'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_3 + -2'P_6_4 + -3'P_6_5 + -3'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -4'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -4'P_7_7 + -5'P_7_8 + -5'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -5'P_8_7 + -5'P_8_8 + -5'P_8_9 + -4'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_3 + -2'P_9_4 + -3'P_9_5 + -4'P_9_6 + -5'P_9_7 + -5'P_9_8 + -4'P_9_9 + -4'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -4'P_10_6 + -4'P_10_7 + -4'P_10_8 + -4'P_10_9 + -3'P_10_10 + -3'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_3 + -2'P_11_4 + -3'P_11_5 + -3'P_11_6 + -3'P_11_7 + -3'P_11_8 + -3'P_11_9 + -3'P_11_10 + -2'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_3 + -2'P_12_4 + -2'P_12_5 + -2'P_12_6 + -2'P_12_7 + -2'P_12_8 + -2'P_12_9 + -2'P_12_10 + -2'P_12_11 + -1'P_12_12 + -1'P_12_13 + -1'P_13_3 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_13_12 + -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 + -10'cX_12 + -11'cX_13 + -12'cX_14 + -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 + -10'cY_12 + -11'cY_13 + -12'cY_14 + 6'L_0 + 6'L_1 + 5'L_2 + 5'L_3 + 4'L_4 + 4'L_5 + 3'L_6 + 3'L_7 + 2'L_8 + 2'L_9 + L_10 + L_11 + L_17 + L_18 + 2'L_19 + 2'L_20 + 3'L_21 + 3'L_22 + 4'L_23 + 4'L_24 + 5'L_25 + 5'L_26 + 6'L_27 + 6'L_28 + 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 + 6'R_15 + 6'R_16 + 7'R_17 + 8'R_18 + 10'R_19 + 11'R_20 + 13'R_21 + 14'R_22 + 16'R_23 + 17'R_24 + 19'R_25 + 20'R_26 + 22'R_27 + 23'R_28 + 24'R_29 = 174
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_4_11 + P_4_12 + P_4_13 + P_5_5 + 2'P_5_6 + 3'P_5_7 + 3'P_5_8 + 3'P_5_9 + 3'P_5_10 + 3'P_5_11 + 3'P_5_12 + 2'P_5_13 + P_6_3 + P_6_4 + 2'P_6_5 + 3'P_6_6 + 4'P_6_7 + 5'P_6_8 + 5'P_6_9 + 5'P_6_10 + 5'P_6_11 + 4'P_6_12 + 2'P_6_13 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 5'P_7_7 + 6'P_7_8 + 7'P_7_9 + 7'P_7_10 + 6'P_7_11 + 4'P_7_12 + 2'P_7_13 + P_8_3 + 2'P_8_4 + 4'P_8_5 + 5'P_8_6 + 6'P_8_7 + 7'P_8_8 + 8'P_8_9 + 8'P_8_10 + 6'P_8_11 + 4'P_8_12 + 2'P_8_13 + P_9_3 + 2'P_9_4 + 4'P_9_5 + 6'P_9_6 + 7'P_9_7 + 8'P_9_8 + 8'P_9_9 + 7'P_9_10 + 6'P_9_11 + 4'P_9_12 + 2'P_9_13 + P_10_3 + 2'P_10_4 + 4'P_10_5 + 6'P_10_6 + 8'P_10_7 + 8'P_10_8 + 7'P_10_9 + 6'P_10_10 + 5'P_10_11 + 4'P_10_12 + 2'P_10_13 + P_11_3 + 2'P_11_4 + 4'P_11_5 + 6'P_11_6 + 7'P_11_7 + 7'P_11_8 + 6'P_11_9 + 5'P_11_10 + 4'P_11_11 + 3'P_11_12 + 2'P_11_13 + P_12_3 + 2'P_12_4 + 4'P_12_5 + 5'P_12_6 + 5'P_12_7 + 5'P_12_8 + 5'P_12_9 + 4'P_12_10 + 3'P_12_11 + 2'P_12_12 + P_12_13 + P_13_3 + 2'P_13_4 + 3'P_13_5 + 3'P_13_6 + 3'P_13_7 + 3'P_13_8 + 3'P_13_9 + 3'P_13_10 + 2'P_13_11 + P_13_12 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + cX_4 + 3'cX_5 + 5'cX_6 + 7'cX_7 + 9'cX_8 + 11'cX_9 + 13'cX_10 + 15'cX_11 + 17'cX_12 + 19'cX_13 + 21'cX_14 + 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 + 18'cY_12 + 20'cY_13 + 22'cY_14 + -12'L_0 + -11'L_1 + -10'L_2 + -9'L_3 + -8'L_4 + -7'L_5 + -6'L_6 + -5'L_7 + -4'L_8 + -3'L_9 + -2'L_10 + -1'L_11 + -1'L_18 + -2'L_19 + -3'L_20 + -4'L_21 + -5'L_22 + -6'L_23 + -7'L_24 + -8'L_25 + -9'L_26 + -10'L_27 + -11'L_28 + -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 + -11'R_16 + -12'R_17 + -13'R_18 + -15'R_19 + -18'R_20 + -21'R_21 + -24'R_22 + -27'R_23 + -30'R_24 + -33'R_25 + -36'R_26 + -39'R_27 + -41'R_28 + -43'R_29 = -308
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_7_11 + -1'P_7_12 + -1'P_7_13 + -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_8_11 + -1'P_8_12 + -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_9_11 + -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_6 + -1'P_11_7 + -1'P_11_8 + -1'P_11_9 + -1'P_12_7 + -1'P_12_8 + P_14_7 + P_14_8 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_20 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 9
invariant :P_12_0 + -1'P_13_2 + -1'P_13_3 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_13_12 + -1'P_13_13 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -1'cX_13 + -1'cX_14 + L_26 + L_27 + L_28 + R_28 + R_29 = 3
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_7_11 + 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 + 2'P_8_10 + P_8_11 + P_8_12 + P_9_3 + P_9_4 + 2'P_9_5 + 2'P_9_6 + 3'P_9_7 + 2'P_9_8 + 2'P_9_9 + P_9_10 + P_9_11 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + 2'P_10_8 + P_10_9 + P_10_10 + P_11_5 + P_11_6 + 2'P_11_7 + P_11_8 + P_11_9 + P_12_6 + P_12_7 + P_12_8 + P_13_7 + -1'cX_9 + -2'cX_10 + -3'cX_11 + -4'cX_12 + -5'cX_13 + -6'cX_14 + -1'cY_8 + -2'cY_9 + -3'cY_10 + -4'cY_11 + -5'cY_12 + -6'cY_13 + -7'cY_14 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_23 + L_24 + 2'L_25 + 2'L_26 + 3'L_27 + 3'L_28 + R_11 + R_12 + 2'R_13 + 2'R_14 + 3'R_15 + 3'R_16 + 4'R_17 + 4'R_18 + 5'R_19 + 5'R_20 + 6'R_21 + 6'R_22 + 7'R_23 + 8'R_24 + 9'R_25 + 10'R_26 + 11'R_27 + 12'R_28 + 13'R_29 = 95
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 + -1'P_7_12 + -1'P_7_13 + P_8_4 + P_8_5 + 2'P_8_6 + P_8_7 + P_8_8 + -1'P_8_11 + -1'P_8_12 + -1'P_8_13 + P_9_5 + P_9_6 + P_9_7 + -1'P_9_10 + -1'P_9_11 + -1'P_9_12 + P_10_6 + -1'P_10_9 + -1'P_10_10 + -1'P_10_11 + -1'P_11_8 + -1'P_11_9 + -1'P_11_10 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_13_7 + -1'P_13_8 + -1'cX_7 + -2'cX_8 + -3'cX_9 + -4'cX_10 + -5'cX_11 + -6'cX_12 + -7'cX_13 + -8'cX_14 + -1'cY_7 + -2'cY_8 + -3'cY_9 + -4'cY_10 + -5'cY_11 + -6'cY_12 + -7'cY_13 + -8'cY_14 + 4'L_0 + 4'L_1 + 3'L_2 + 3'L_3 + 2'L_4 + 2'L_5 + L_6 + L_7 + L_21 + L_22 + 2'L_23 + 2'L_24 + 3'L_25 + 3'L_26 + 4'L_27 + 4'L_28 + 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 + 6'R_20 + 7'R_21 + 8'R_22 + 10'R_23 + 11'R_24 + 12'R_25 + 13'R_26 + 14'R_27 + 15'R_28 + 16'R_29 = 116
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_3_11 + P_3_12 + P_3_13 + 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 + 2'P_4_10 + 2'P_4_11 + 2'P_4_12 + P_4_13 + 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 + 3'P_5_9 + 3'P_5_10 + 3'P_5_11 + 2'P_5_12 + P_5_13 + P_6_2 + 2'P_6_3 + 3'P_6_4 + 4'P_6_5 + 4'P_6_6 + 4'P_6_7 + 4'P_6_8 + 4'P_6_9 + 4'P_6_10 + 3'P_6_11 + 2'P_6_12 + P_6_13 + 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 + 5'P_7_9 + 4'P_7_10 + 3'P_7_11 + 2'P_7_12 + P_7_13 + P_8_2 + 2'P_8_3 + 3'P_8_4 + 4'P_8_5 + 5'P_8_6 + 6'P_8_7 + 6'P_8_8 + 5'P_8_9 + 4'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_2 + 2'P_9_3 + 3'P_9_4 + 4'P_9_5 + 5'P_9_6 + 6'P_9_7 + 6'P_9_8 + 5'P_9_9 + 4'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_2 + 2'P_10_3 + 3'P_10_4 + 4'P_10_5 + 5'P_10_6 + 5'P_10_7 + 5'P_10_8 + 5'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_2 + 2'P_11_3 + 3'P_11_4 + 4'P_11_5 + 4'P_11_6 + 4'P_11_7 + 4'P_11_8 + 4'P_11_9 + 4'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_2 + 2'P_12_3 + 3'P_12_4 + 3'P_12_5 + 3'P_12_6 + 3'P_12_7 + 3'P_12_8 + 3'P_12_9 + 3'P_12_10 + 3'P_12_11 + 2'P_12_12 + P_12_13 + P_13_2 + 2'P_13_3 + 2'P_13_4 + 2'P_13_5 + 2'P_13_6 + 2'P_13_7 + 2'P_13_8 + 2'P_13_9 + 2'P_13_10 + 2'P_13_11 + 2'P_13_12 + P_13_13 + P_14_2 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + P_14_13 + 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 + 10'cX_12 + 11'cX_13 + 12'cX_14 + 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 + 11'cY_12 + 12'cY_13 + 13'cY_14 + -7'L_0 + -6'L_1 + -6'L_2 + -5'L_3 + -5'L_4 + -4'L_5 + -4'L_6 + -3'L_7 + -3'L_8 + -2'L_9 + -2'L_10 + -1'L_11 + -1'L_12 + L_15 + -1'L_18 + -1'L_19 + -2'L_20 + -2'L_21 + -3'L_22 + -3'L_23 + -4'L_24 + -4'L_25 + -5'L_26 + -5'L_27 + -6'L_28 + -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 + -6'R_15 + -7'R_16 + -7'R_17 + -9'R_18 + -10'R_19 + -12'R_20 + -13'R_21 + -15'R_22 + -16'R_23 + -18'R_24 + -19'R_25 + -21'R_26 + -22'R_27 + -24'R_28 + -25'R_29 = -175
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_6_11 + -1'P_6_12 + -1'P_6_13 + -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_7_11 + -1'P_7_12 + -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_8_11 + -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_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_11_7 + -1'P_11_8 + P_13_7 + P_13_8 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_19 + L_20 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 10
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_8_11 + -1'P_8_12 + -1'P_8_13 + -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_9_11 + -1'P_9_12 + -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_10_11 + -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'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_13_7 + -1'P_13_8 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 8
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_3_11 + -1'P_3_12 + -1'P_3_13 + -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_4_11 + -1'P_4_12 + -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_5_11 + -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_6 + -1'P_7_7 + -1'P_7_8 + -1'P_7_9 + -1'P_8_7 + -1'P_8_8 + P_10_7 + P_10_8 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + -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 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_16 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_18 + R_19 + R_20 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 13
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_3_11 + P_3_12 + P_3_13 + 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 + 2'P_4_10 + 2'P_4_11 + 2'P_4_12 + P_4_13 + P_5_3 + 2'P_5_4 + 3'P_5_5 + 3'P_5_6 + 3'P_5_7 + 3'P_5_8 + 3'P_5_9 + 3'P_5_10 + 3'P_5_11 + 2'P_5_12 + P_5_13 + P_6_3 + 2'P_6_4 + 3'P_6_5 + 4'P_6_6 + 4'P_6_7 + 4'P_6_8 + 4'P_6_9 + 4'P_6_10 + 3'P_6_11 + 2'P_6_12 + P_6_13 + P_7_3 + 2'P_7_4 + 3'P_7_5 + 4'P_7_6 + 5'P_7_7 + 5'P_7_8 + 5'P_7_9 + 4'P_7_10 + 3'P_7_11 + 2'P_7_12 + P_7_13 + P_8_3 + 2'P_8_4 + 3'P_8_5 + 4'P_8_6 + 5'P_8_7 + 6'P_8_8 + 5'P_8_9 + 4'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_3 + 2'P_9_4 + 3'P_9_5 + 4'P_9_6 + 5'P_9_7 + 5'P_9_8 + 5'P_9_9 + 4'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_3 + 2'P_10_4 + 3'P_10_5 + 4'P_10_6 + 4'P_10_7 + 4'P_10_8 + 4'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_3 + 2'P_11_4 + 3'P_11_5 + 3'P_11_6 + 3'P_11_7 + 3'P_11_8 + 3'P_11_9 + 3'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_3 + 2'P_12_4 + 2'P_12_5 + 2'P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + 2'P_12_10 + 2'P_12_11 + 2'P_12_12 + P_12_13 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + P_13_13 + 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 + 10'cX_12 + 11'cX_13 + 12'cX_14 + 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 + 10'cY_12 + 11'cY_13 + 12'cY_14 + -7'L_0 + -6'L_1 + -6'L_2 + -5'L_3 + -5'L_4 + -4'L_5 + -4'L_6 + -3'L_7 + -3'L_8 + -2'L_9 + -2'L_10 + -1'L_11 + -1'L_12 + -1'L_16 + -1'L_17 + -2'L_18 + -2'L_19 + -3'L_20 + -3'L_21 + -4'L_22 + -4'L_23 + -5'L_24 + -5'L_25 + -6'L_26 + -6'L_27 + -7'L_28 + 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 + -5'R_15 + -6'R_16 + -6'R_17 + -8'R_18 + -9'R_19 + -11'R_20 + -12'R_21 + -14'R_22 + -15'R_23 + -17'R_24 + -18'R_25 + -20'R_26 + -21'R_27 + -23'R_28 + -24'R_29 = -175
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 + P_6_11 + P_6_12 + P_6_13 + -1'P_7_3 + -2'P_7_4 + -2'P_7_5 + -2'P_7_6 + -1'P_7_7 + P_7_9 + 2'P_7_10 + 3'P_7_11 + 3'P_7_12 + 2'P_7_13 + -1'P_8_4 + -1'P_8_5 + -1'P_8_6 + P_8_8 + 2'P_8_9 + 3'P_8_10 + 4'P_8_11 + 4'P_8_12 + 2'P_8_13 + P_9_7 + 2'P_9_8 + 3'P_9_9 + 4'P_9_10 + 4'P_9_11 + 3'P_9_12 + 2'P_9_13 + P_10_5 + P_10_6 + 2'P_10_7 + 3'P_10_8 + 4'P_10_9 + 4'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_5 + 2'P_11_6 + 3'P_11_7 + 4'P_11_8 + 4'P_11_9 + 3'P_11_10 + 2'P_11_11 + P_11_12 + P_12_5 + 2'P_12_6 + 4'P_12_7 + 4'P_12_8 + 3'P_12_9 + 2'P_12_10 + P_12_11 + P_13_5 + 2'P_13_6 + 3'P_13_7 + 3'P_13_8 + 2'P_13_9 + P_13_10 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + cX_6 + 3'cX_7 + 5'cX_8 + 7'cX_9 + 9'cX_10 + 11'cX_11 + 13'cX_12 + 15'cX_13 + 17'cX_14 + cY_5 + 2'cY_6 + 4'cY_7 + 6'cY_8 + 8'cY_9 + 10'cY_10 + 12'cY_11 + 14'cY_12 + 16'cY_13 + 18'cY_14 + -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_20 + -2'L_21 + -3'L_22 + -4'L_23 + -5'L_24 + -6'L_25 + -7'L_26 + -8'L_27 + -9'L_28 + -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 + -11'R_18 + -12'R_19 + -13'R_20 + -15'R_21 + -18'R_22 + -21'R_23 + -24'R_24 + -27'R_25 + -29'R_26 + -31'R_27 + -33'R_28 + -35'R_29 = -252
invariant :P_0_11 + P_3_11 + P_4_10 + P_4_11 + P_4_12 + P_5_9 + P_5_10 + 2'P_5_11 + P_5_12 + P_5_13 + P_6_8 + P_6_9 + 2'P_6_10 + 2'P_6_11 + 2'P_6_12 + P_6_13 + P_7_7 + P_7_8 + 2'P_7_9 + 2'P_7_10 + 3'P_7_11 + 2'P_7_12 + P_7_13 + P_8_6 + P_8_7 + 2'P_8_8 + 2'P_8_9 + 3'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_5 + P_9_6 + 2'P_9_7 + 2'P_9_8 + 3'P_9_9 + 3'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_4 + P_10_5 + 2'P_10_6 + 2'P_10_7 + 3'P_10_8 + 3'P_10_9 + 3'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_3 + P_11_4 + 2'P_11_5 + 2'P_11_6 + 3'P_11_7 + 3'P_11_8 + 3'P_11_9 + 3'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_2 + P_12_3 + 2'P_12_4 + 2'P_12_5 + 3'P_12_6 + 3'P_12_7 + 3'P_12_8 + 3'P_12_9 + 3'P_12_10 + 3'P_12_11 + 2'P_12_12 + P_12_13 + P_13_3 + P_13_4 + 2'P_13_5 + 2'P_13_6 + 2'P_13_7 + 2'P_13_8 + 2'P_13_9 + 2'P_13_10 + 2'P_13_11 + P_13_12 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + -1'cX_13 + -2'cX_14 + -1'cY_12 + -2'cY_13 + -3'cY_14 + 2'L_0 + 2'L_1 + L_2 + L_3 + L_27 + L_28 + R_15 + R_16 + 2'R_17 + 2'R_18 + 3'R_19 + 3'R_20 + 3'R_21 + 3'R_22 + 3'R_23 + 3'R_24 + 3'R_25 + 3'R_26 + 3'R_27 + 4'R_28 + 5'R_29 = 41
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_6_11 + -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 + -3'P_7_10 + -2'P_7_11 + -1'P_7_12 + -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 + -4'P_8_9 + -3'P_8_10 + -2'P_8_11 + -1'P_8_12 + -1'P_9_3 + -2'P_9_4 + -3'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_9_11 + -1'P_10_4 + -2'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_5 + -2'P_11_6 + -2'P_11_7 + -2'P_11_8 + -1'P_11_9 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + P_14_7 + cX_8 + 3'cX_9 + 5'cX_10 + 7'cX_11 + 9'cX_12 + 11'cX_13 + 13'cX_14 + cY_7 + 2'cY_8 + 4'cY_9 + 6'cY_10 + 8'cY_11 + 10'cY_12 + 12'cY_13 + 14'cY_14 + -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_22 + -2'L_23 + -3'L_24 + -4'L_25 + -5'L_26 + -6'L_27 + -7'L_28 + -1'R_10 + -2'R_11 + -3'R_12 + -4'R_13 + -5'R_14 + -6'R_15 + -7'R_16 + -8'R_17 + -9'R_18 + -10'R_19 + -11'R_20 + -12'R_21 + -13'R_22 + -15'R_23 + -17'R_24 + -19'R_25 + -21'R_26 + -23'R_27 + -25'R_28 + -27'R_29 = -196
invariant :P_7_14 + P_8_13 + P_9_12 + P_10_11 + P_11_10 + P_12_9 + P_13_8 + P_14_7 + R_22 = 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 + 66'cX_12 + 78'cX_13 + 91'cX_14 + 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 + 66'cY_12 + 78'cY_13 + 91'cY_14 + -49'L_0 + -42'L_1 + -36'L_2 + -30'L_3 + -25'L_4 + -20'L_5 + -16'L_6 + -12'L_7 + -9'L_8 + -6'L_9 + -4'L_10 + -2'L_11 + -1'L_12 + -1'L_16 + -2'L_17 + -4'L_18 + -6'L_19 + -9'L_20 + -12'L_21 + -16'L_22 + -20'L_23 + -25'L_24 + -30'L_25 + -36'L_26 + -42'L_27 + -49'L_28 + -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 + -121'R_24 + -132'R_25 + -144'R_26 + -156'R_27 + -169'R_28 + -182'R_29 = -1323
invariant :P_2_11 + P_3_10 + P_3_11 + P_3_12 + P_4_9 + P_4_10 + 2'P_4_11 + P_4_12 + P_4_13 + P_5_8 + P_5_9 + 2'P_5_10 + 2'P_5_11 + 2'P_5_12 + P_5_13 + P_6_7 + P_6_8 + 2'P_6_9 + 2'P_6_10 + 3'P_6_11 + 2'P_6_12 + P_6_13 + P_7_6 + P_7_7 + 2'P_7_8 + 2'P_7_9 + 3'P_7_10 + 3'P_7_11 + 2'P_7_12 + P_7_13 + P_8_5 + P_8_6 + 2'P_8_7 + 2'P_8_8 + 3'P_8_9 + 3'P_8_10 + 3'P_8_11 + 2'P_8_12 + P_8_13 + P_9_4 + P_9_5 + 2'P_9_6 + 2'P_9_7 + 3'P_9_8 + 3'P_9_9 + 3'P_9_10 + 3'P_9_11 + 2'P_9_12 + P_9_13 + P_10_3 + P_10_4 + 2'P_10_5 + 2'P_10_6 + 3'P_10_7 + 3'P_10_8 + 3'P_10_9 + 3'P_10_10 + 3'P_10_11 + 2'P_10_12 + P_10_13 + P_11_2 + P_11_3 + 2'P_11_4 + 2'P_11_5 + 3'P_11_6 + 3'P_11_7 + 3'P_11_8 + 3'P_11_9 + 3'P_11_10 + 3'P_11_11 + 2'P_11_12 + P_11_13 + P_12_3 + P_12_4 + 2'P_12_5 + 2'P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + 2'P_12_10 + 2'P_12_11 + P_12_12 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + -1'cX_12 + -2'cX_13 + -3'cX_14 + -1'cY_12 + -2'cY_13 + -3'cY_14 + 2'L_0 + L_1 + L_2 + L_26 + L_27 + 2'L_28 + R_14 + R_15 + 2'R_16 + 2'R_17 + 3'R_18 + 3'R_19 + 3'R_20 + 3'R_21 + 3'R_22 + 3'R_23 + 3'R_24 + 3'R_25 + 3'R_26 + 4'R_27 + 5'R_28 + 6'R_29 = 44
invariant :P_1_13 + -1'P_3_12 + -1'P_3_13 + -1'P_4_11 + -2'P_4_12 + -1'P_4_13 + -1'P_5_10 + -2'P_5_11 + -2'P_5_12 + -1'P_5_13 + -1'P_6_9 + -2'P_6_10 + -2'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_8 + -2'P_7_9 + -2'P_7_10 + -2'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_7 + -2'P_8_8 + -2'P_8_9 + -2'P_8_10 + -2'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_6 + -2'P_9_7 + -2'P_9_8 + -2'P_9_9 + -2'P_9_10 + -2'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_5 + -2'P_10_6 + -2'P_10_7 + -2'P_10_8 + -2'P_10_9 + -2'P_10_10 + -2'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_4 + -2'P_11_5 + -2'P_11_6 + -2'P_11_7 + -2'P_11_8 + -2'P_11_9 + -2'P_11_10 + -2'P_11_11 + -2'P_11_12 + -1'P_11_13 + -1'P_12_3 + -2'P_12_4 + -2'P_12_5 + -2'P_12_6 + -2'P_12_7 + -2'P_12_8 + -2'P_12_9 + -2'P_12_10 + -2'P_12_11 + -2'P_12_12 + -1'P_12_13 + -1'P_13_2 + -2'P_13_3 + -2'P_13_4 + -2'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -2'P_13_10 + -2'P_13_11 + -2'P_13_12 + -1'P_13_13 + -1'P_14_2 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + cX_14 + cY_13 + 2'cY_14 + -2'L_0 + -1'L_1 + -1'L_28 + -1'R_16 + -2'R_17 + -2'R_18 + -2'R_19 + -2'R_20 + -2'R_21 + -2'R_22 + -2'R_23 + -2'R_24 + -2'R_25 + -2'R_26 + -2'R_27 + -2'R_28 + -3'R_29 = -28
invariant :P_1_14 + -1'P_3_13 + -1'P_4_12 + -1'P_4_13 + -1'P_5_11 + -1'P_5_12 + -1'P_5_13 + -1'P_6_10 + -1'P_6_11 + -1'P_6_12 + -1'P_6_13 + -1'P_7_9 + -1'P_7_10 + -1'P_7_11 + -1'P_7_12 + -1'P_7_13 + -1'P_8_8 + -1'P_8_9 + -1'P_8_10 + -1'P_8_11 + -1'P_8_12 + -1'P_8_13 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_9_10 + -1'P_9_11 + -1'P_9_12 + -1'P_9_13 + -1'P_10_6 + -1'P_10_7 + -1'P_10_8 + -1'P_10_9 + -1'P_10_10 + -1'P_10_11 + -1'P_10_12 + -1'P_10_13 + -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'P_11_11 + -1'P_11_12 + -1'P_11_13 + -1'P_12_4 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_12_12 + -1'P_12_13 + -1'P_13_3 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_13_12 + -1'P_13_13 + -1'P_14_2 + -1'P_14_3 + -1'P_14_4 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'P_14_11 + -1'P_14_12 + -1'P_14_13 + cY_14 + -1'L_0 + -1'R_17 + -1'R_18 + -1'R_19 + -1'R_20 + -1'R_21 + -1'R_22 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -13
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 + -120'cX_12 + -143'cX_13 + -168'cX_14 + -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 + -132'cY_12 + -156'cY_13 + -182'cY_14 + 105'L_0 + 90'L_1 + 78'L_2 + 65'L_3 + 55'L_4 + 44'L_5 + 36'L_6 + 27'L_7 + 21'L_8 + 14'L_9 + 10'L_10 + 5'L_11 + 3'L_12 + -1'L_15 + L_16 + 2'L_17 + 6'L_18 + 9'L_19 + 15'L_20 + 20'L_21 + 28'L_22 + 35'L_23 + 45'L_24 + 54'L_25 + 66'L_26 + 77'L_27 + 91'L_28 + -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 + 231'R_24 + 252'R_25 + 276'R_26 + 299'R_27 + 325'R_28 + 350'R_29 = 2548
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 + -11'cY_12 + -12'cY_13 + -13'cY_14 + 7'L_0 + 6'L_1 + 6'L_2 + 5'L_3 + 5'L_4 + 4'L_5 + 4'L_6 + 3'L_7 + 3'L_8 + 2'L_9 + 2'L_10 + L_11 + 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 + -5'L_23 + -5'L_24 + -6'L_25 + -6'L_26 + -7'L_27 + -7'L_28 + -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 + 11'R_24 + 11'R_25 + 12'R_26 + 12'R_27 + 13'R_28 + 13'R_29 = 84
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 + P_11_11 + P_11_12 + P_11_13 + P_12_2 + P_12_3 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_12_11 + P_12_12 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -4
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'P_11_11 + -1'P_11_12 + -1'P_11_13 + -1'P_12_3 + -1'P_12_4 + -1'P_12_5 + -1'P_12_6 + -1'P_12_7 + -1'P_12_8 + -1'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_12_12 + -1'P_13_4 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_24 + L_25 + L_26 + L_27 + L_28 + R_26 + R_27 + R_28 + R_29 = 5
invariant :P_8_14 + P_9_13 + P_10_12 + P_11_11 + P_12_10 + P_13_9 + P_14_8 + R_23 = 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_4_11 + -1'P_4_12 + -1'P_4_13 + -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_5_11 + -1'P_5_12 + -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_6_11 + -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_6 + -1'P_8_7 + -1'P_8_8 + -1'P_8_9 + -1'P_9_7 + -1'P_9_8 + P_11_7 + P_11_8 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + -1'cX_4 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_17 + L_18 + L_19 + L_20 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_19 + R_20 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 12
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 + -1'P_5_11 + -1'P_5_12 + -1'P_5_13 + P_6_4 + -1'P_6_7 + -1'P_6_8 + -2'P_6_9 + -2'P_6_10 + -2'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_6 + -1'P_7_7 + -2'P_7_8 + -2'P_7_9 + -3'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_5 + -1'P_8_6 + -2'P_8_7 + -2'P_8_8 + -3'P_8_9 + -3'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_5 + -2'P_9_6 + -2'P_9_7 + -3'P_9_8 + -3'P_9_9 + -3'P_9_10 + -2'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_5 + -2'P_10_6 + -3'P_10_7 + -3'P_10_8 + -3'P_10_9 + -2'P_10_10 + -2'P_10_11 + -1'P_10_12 + -1'P_10_13 + -1'P_11_5 + -2'P_11_6 + -3'P_11_7 + -3'P_11_8 + -2'P_11_9 + -2'P_11_10 + -1'P_11_11 + -1'P_11_12 + -1'P_12_5 + -2'P_12_6 + -2'P_12_7 + -2'P_12_8 + -2'P_12_9 + -1'P_12_10 + -1'P_12_11 + -1'P_13_5 + -1'P_13_6 + -1'P_13_7 + -1'P_13_8 + -1'P_13_9 + -1'P_13_10 + -1'cX_5 + -2'cX_6 + -3'cX_7 + -4'cX_8 + -5'cX_9 + -6'cX_10 + -7'cX_11 + -8'cX_12 + -9'cX_13 + -10'cX_14 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + -8'cY_12 + -9'cY_13 + -10'cY_14 + 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_19 + L_20 + 2'L_21 + 2'L_22 + 3'L_23 + 3'L_24 + 4'L_25 + 4'L_26 + 5'L_27 + 5'L_28 + 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 + 6'R_17 + 6'R_18 + 7'R_19 + 8'R_20 + 10'R_21 + 11'R_22 + 13'R_23 + 14'R_24 + 16'R_25 + 17'R_26 + 18'R_27 + 19'R_28 + 20'R_29 = 145
invariant :P_9_14 + P_10_13 + P_11_12 + P_12_11 + P_13_10 + P_14_9 + R_24 = 1
invariant :P_3_14 + P_4_13 + P_5_12 + P_6_11 + P_7_10 + P_8_9 + P_9_8 + P_10_7 + P_11_6 + P_12_5 + P_13_4 + P_14_3 + R_18 = 1
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 + -1'P_6_11 + -1'P_6_12 + -1'P_6_13 + P_7_4 + -1'P_7_7 + -1'P_7_8 + -2'P_7_9 + -2'P_7_10 + -2'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_6 + -1'P_8_7 + -2'P_8_8 + -2'P_8_9 + -3'P_8_10 + -3'P_8_11 + -2'P_8_12 + -1'P_8_13 + -1'P_9_5 + -1'P_9_6 + -2'P_9_7 + -2'P_9_8 + -3'P_9_9 + -3'P_9_10 + -3'P_9_11 + -2'P_9_12 + -1'P_9_13 + -1'P_10_5 + -2'P_10_6 + -2'P_10_7 + -3'P_10_8 + -3'P_10_9 + -3'P_10_10 + -2'P_10_11 + -2'P_10_12 + -1'P_10_13 + -1'P_11_5 + -2'P_11_6 + -3'P_11_7 + -3'P_11_8 + -3'P_11_9 + -2'P_11_10 + -2'P_11_11 + -1'P_11_12 + -1'P_11_13 + -1'P_12_5 + -2'P_12_6 + -3'P_12_7 + -3'P_12_8 + -2'P_12_9 + -2'P_12_10 + -1'P_12_11 + -1'P_12_12 + -1'P_13_5 + -2'P_13_6 + -2'P_13_7 + -2'P_13_8 + -2'P_13_9 + -1'P_13_10 + -1'P_13_11 + -1'P_14_5 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + -1'P_14_9 + -1'P_14_10 + -1'cX_6 + -2'cX_7 + -3'cX_8 + -4'cX_9 + -5'cX_10 + -6'cX_11 + -7'cX_12 + -8'cX_13 + -9'cX_14 + -1'cY_5 + -2'cY_6 + -3'cY_7 + -4'cY_8 + -5'cY_9 + -6'cY_10 + -7'cY_11 + -8'cY_12 + -9'cY_13 + -10'cY_14 + 6'L_0 + 5'L_1 + 5'L_2 + 4'L_3 + 4'L_4 + 3'L_5 + 3'L_6 + 2'L_7 + 2'L_8 + L_9 + L_10 + L_20 + L_21 + 2'L_22 + 2'L_23 + 3'L_24 + 3'L_25 + 4'L_26 + 4'L_27 + 5'L_28 + 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 + 6'R_18 + 6'R_19 + 7'R_20 + 8'R_21 + 10'R_22 + 11'R_23 + 13'R_24 + 14'R_25 + 16'R_26 + 17'R_27 + 18'R_28 + 19'R_29 = 136
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_8_11 + P_8_12 + P_8_13 + 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_9_11 + P_9_12 + 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_10_11 + P_11_4 + P_11_5 + P_11_6 + P_11_7 + P_11_8 + P_11_9 + P_11_10 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_13_6 + P_13_7 + P_13_8 + P_14_7 + cX_8 + cX_9 + cX_10 + cX_11 + cX_12 + cX_13 + cX_14 + -1'L_22 + -1'L_23 + -1'L_24 + -1'L_25 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_23 + -1'R_24 + -1'R_25 + -1'R_26 + -1'R_27 + -1'R_28 + -1'R_29 = -7
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_4_11 + -1'P_5_6 + -2'P_5_7 + -3'P_5_8 + -3'P_5_9 + -3'P_5_10 + -2'P_5_11 + -1'P_5_12 + -1'P_6_5 + -2'P_6_6 + -3'P_6_7 + -4'P_6_8 + -4'P_6_9 + -4'P_6_10 + -3'P_6_11 + -2'P_6_12 + -1'P_6_13 + -1'P_7_4 + -2'P_7_5 + -3'P_7_6 + -4'P_7_7 + -5'P_7_8 + -5'P_7_9 + -5'P_7_10 + -4'P_7_11 + -3'P_7_12 + -2'P_7_13 + -1'P_8_3 + -2'P_8_4 + -3'P_8_5 + -4'P_8_6 + -5'P_8_7 + -6'P_8_8 + -6'P_8_9 + -6'P_8_10 + -5'P_8_11 + -4'P_8_12 + -2'P_8_13 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -6'P_9_7 + -7'P_9_8 + -7'P_9_9 + -7'P_9_10 + -6'P_9_11 + -4'P_9_12 + -2'P_9_13 + -1'P_10_2 + -2'P_10_3 + -3'P_10_4 + -4'P_10_5 + -5'P_10_6 + -6'P_10_7 + -7'P_10_8 + -7'P_10_9 + -7'P_10_10 + -5'P_10_11 + -3'P_10_12 + -1'P_10_13 + -1'P_11_3 + -2'P_11_4 + -3'P_11_5 + -4'P_11_6 + -5'P_11_7 + -6'P_11_8 + -6'P_11_9 + -5'P_11_10 + -3'P_11_11 + -1'P_11_12 + -1'P_12_4 + -2'P_12_5 + -3'P_12_6 + -4'P_12_7 + -5'P_12_8 + -4'P_12_9 + -3'P_12_10 + -1'P_12_11 + -1'P_13_5 + -2'P_13_6 + -3'P_13_7 + -3'P_13_8 + -2'P_13_9 + -1'P_13_10 + -1'P_14_6 + -1'P_14_7 + -1'P_14_8 + cX_10 + 3'cX_11 + 5'cX_12 + 7'cX_13 + 9'cX_14 + cY_9 + 2'cY_10 + 4'cY_11 + 6'cY_12 + 8'cY_13 + 10'cY_14 + -6'L_0 + -5'L_1 + -4'L_2 + -3'L_3 + -2'L_4 + -1'L_5 + -1'L_24 + -2'L_25 + -3'L_26 + -4'L_27 + -5'L_28 + -1'R_12 + -2'R_13 + -3'R_14 + -4'R_15 + -5'R_16 + -6'R_17 + -7'R_18 + -8'R_19 + -9'R_20 + -10'R_21 + -10'R_22 + -10'R_23 + -10'R_24 + -11'R_25 + -13'R_26 + -15'R_27 + -17'R_28 + -19'R_29 = -140
invariant :P_2_14 + P_3_13 + P_4_12 + P_5_11 + P_6_10 + P_7_9 + P_8_8 + P_9_7 + P_10_6 + P_11_5 + P_12_4 + P_13_3 + P_14_2 + R_17 = 1
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 + 55'cX_12 + 66'cX_13 + 78'cX_14 + 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 + 66'cY_12 + 78'cY_13 + 91'cY_14 + -56'L_0 + -48'L_1 + -42'L_2 + -35'L_3 + -30'L_4 + -24'L_5 + -20'L_6 + -15'L_7 + -12'L_8 + -8'L_9 + -6'L_10 + -3'L_11 + -2'L_12 + L_15 + -2'L_18 + -3'L_19 + -6'L_20 + -8'L_21 + -12'L_22 + -15'L_23 + -20'L_24 + -24'L_25 + -30'L_26 + -35'L_27 + -42'L_28 + -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 + -111'R_24 + -121'R_25 + -133'R_26 + -144'R_27 + -157'R_28 + -169'R_29 = -1239
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_5_11 + -1'P_6_4 + -2'P_6_5 + -3'P_6_6 + -4'P_6_7 + -4'P_6_8 + -4'P_6_9 + -3'P_6_10 + -2'P_6_11 + -1'P_6_12 + -1'P_7_3 + -2'P_7_4 + -3'P_7_5 + -4'P_7_6 + -5'P_7_7 + -5'P_7_8 + -5'P_7_9 + -4'P_7_10 + -3'P_7_11 + -2'P_7_12 + -1'P_7_13 + -1'P_8_2 + -2'P_8_3 + -3'P_8_4 + -4'P_8_5 + -5'P_8_6 + -6'P_8_7 + -6'P_8_8 + -6'P_8_9 + -5'P_8_10 + -4'P_8_11 + -3'P_8_12 + -2'P_8_13 + -1'P_9_2 + -2'P_9_3 + -3'P_9_4 + -4'P_9_5 + -5'P_9_6 + -6'P_9_7 + -6'P_9_8 + -6'P_9_9 + -5'P_9_10 + -4'P_9_11 + -3'P_9_12 + -1'P_9_13 + -1'P_10_3 + -2'P_10_4 + -3'P_10_5 + -4'P_10_6 + -5'P_10_7 + -5'P_10_8 + -5'P_10_9 + -4'P_10_10 + -3'P_10_11 + -1'P_10_12 + -1'P_11_4 + -2'P_11_5 + -3'P_11_6 + -4'P_11_7 + -4'P_11_8 + -4'P_11_9 + -3'P_11_10 + -1'P_11_11 + -1'P_12_5 + -2'P_12_6 + -3'P_12_7 + -3'P_12_8 + -3'P_12_9 + -1'P_12_10 + -1'P_13_6 + -2'P_13_7 + -2'P_13_8 + -1'P_13_9 + -1'P_14_7 + cX_9 + 3'cX_10 + 5'cX_11 + 7'cX_12 + 9'cX_13 + 11'cX_14 + cY_8 + 2'cY_9 + 4'cY_10 + 6'cY_11 + 8'cY_12 + 10'cY_13 + 12'cY_14 + -7'L_0 + -6'L_1 + -5'L_2 + -4'L_3 + -3'L_4 + -2'L_5 + -1'L_6 + -1'L_23 + -2'L_24 + -3'L_25 + -4'L_26 + -5'L_27 + -6'L_28 + -1'R_11 + -2'R_12 + -3'R_13 + -4'R_14 + -5'R_15 + -6'R_16 + -7'R_17 + -8'R_18 + -9'R_19 + -10'R_20 + -11'R_21 + -12'R_22 + -12'R_23 + -13'R_24 + -15'R_25 + -17'R_26 + -19'R_27 + -21'R_28 + -23'R_29 = -168
invariant :P_0_12 + P_3_12 + P_4_11 + P_4_12 + P_4_13 + P_5_10 + P_5_11 + 2'P_5_12 + P_5_13 + P_6_9 + P_6_10 + 2'P_6_11 + 2'P_6_12 + P_6_13 + P_7_8 + P_7_9 + 2'P_7_10 + 2'P_7_11 + 2'P_7_12 + P_7_13 + P_8_7 + P_8_8 + 2'P_8_9 + 2'P_8_10 + 2'P_8_11 + 2'P_8_12 + P_8_13 + P_9_6 + P_9_7 + 2'P_9_8 + 2'P_9_9 + 2'P_9_10 + 2'P_9_11 + 2'P_9_12 + P_9_13 + P_10_5 + P_10_6 + 2'P_10_7 + 2'P_10_8 + 2'P_10_9 + 2'P_10_10 + 2'P_10_11 + 2'P_10_12 + P_10_13 + P_11_4 + P_11_5 + 2'P_11_6 + 2'P_11_7 + 2'P_11_8 + 2'P_11_9 + 2'P_11_10 + 2'P_11_11 + 2'P_11_12 + P_11_13 + P_12_3 + P_12_4 + 2'P_12_5 + 2'P_12_6 + 2'P_12_7 + 2'P_12_8 + 2'P_12_9 + 2'P_12_10 + 2'P_12_11 + 2'P_12_12 + P_12_13 + P_13_2 + P_13_3 + 2'P_13_4 + 2'P_13_5 + 2'P_13_6 + 2'P_13_7 + 2'P_13_8 + 2'P_13_9 + 2'P_13_10 + 2'P_13_11 + 2'P_13_12 + P_13_13 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + P_14_12 + -1'cX_14 + -1'cY_13 + -2'cY_14 + 2'L_0 + L_1 + L_2 + L_28 + R_16 + R_17 + 2'R_18 + 2'R_19 + 2'R_20 + 2'R_21 + 2'R_22 + 2'R_23 + 2'R_24 + 2'R_25 + 2'R_26 + 2'R_27 + 2'R_28 + 3'R_29 = 28
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_5_11 + -1'P_5_12 + -1'P_5_13 + -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_6_11 + -1'P_6_12 + -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_7_11 + -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_6 + -1'P_9_7 + -1'P_9_8 + -1'P_9_9 + -1'P_10_7 + -1'P_10_8 + P_12_7 + P_12_8 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + -1'cX_5 + -1'cX_6 + -1'cX_7 + -1'cX_8 + -1'cX_9 + -1'cX_10 + -1'cX_11 + -1'cX_12 + -1'cX_13 + -1'cX_14 + L_18 + L_19 + L_20 + L_21 + L_22 + L_23 + L_24 + L_25 + L_26 + L_27 + L_28 + R_20 + R_21 + R_22 + R_23 + R_24 + R_25 + R_26 + R_27 + R_28 + R_29 = 11
invariant :P_12_1 + P_12_2 + P_12_3 + P_12_4 + P_12_5 + P_12_6 + P_12_7 + P_12_8 + P_12_9 + P_12_10 + P_12_11 + P_12_12 + P_12_13 + P_13_2 + P_13_3 + P_13_4 + P_13_5 + P_13_6 + P_13_7 + P_13_8 + P_13_9 + P_13_10 + P_13_11 + P_13_12 + P_14_3 + P_14_4 + P_14_5 + P_14_6 + P_14_7 + P_14_8 + P_14_9 + P_14_10 + P_14_11 + cX_12 + cX_13 + cX_14 + -1'L_26 + -1'L_27 + -1'L_28 + -1'R_27 + -1'R_28 + -1'R_29 = -3
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 5246 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 148 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, -p, --pins-guards, --when, --ltl, <>((<>((LTLAP0==true)))U(<>((LTLAP1==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1551 ms.
FORMULA NQueens-PT-15-LTLCardinality-00 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, --ltl, (<>([]((LTLAP2==true))))U((LTLAP3==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 595 ms.
FORMULA NQueens-PT-15-LTLCardinality-01 TRUE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=8, --when, --ltl, <>(X(((LTLAP4==true))U((LTLAP5==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 819 ms.
FORMULA NQueens-PT-15-LTLCardinality-02 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, --when, --ltl, (X(<>((LTLAP6==true))))U([]([]((LTLAP7==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1289 ms.
FORMULA NQueens-PT-15-LTLCardinality-03 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, --when, --ltl, X(X([]([]((LTLAP8==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1882 ms.
FORMULA NQueens-PT-15-LTLCardinality-04 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, --when, --ltl, (<>(X((LTLAP9==true))))U(<>((LTLAP10==true))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1022 ms.
FORMULA NQueens-PT-15-LTLCardinality-05 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, --when, --ltl, X(([]((LTLAP11==true)))U(<>((LTLAP12==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 455 ms.
FORMULA NQueens-PT-15-LTLCardinality-06 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, --ltl, <>([]((LTLAP13==true))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1850 ms.
FORMULA NQueens-PT-15-LTLCardinality-07 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, --ltl, ([]((LTLAP14==true)))U(<>(<>((LTLAP15==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1540 ms.
FORMULA NQueens-PT-15-LTLCardinality-08 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, --when, --ltl, <>(X(X(X((LTLAP16==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 62685 ms.
FORMULA NQueens-PT-15-LTLCardinality-09 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, --ltl, <>(([]((LTLAP17==true)))U([]((LTLAP18==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 2169 ms.
FORMULA NQueens-PT-15-LTLCardinality-10 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, --ltl, [](<>(<>(<>((LTLAP19==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 2733 ms.
FORMULA NQueens-PT-15-LTLCardinality-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, --ltl, [](<>((LTLAP20==true))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 2389 ms.
FORMULA NQueens-PT-15-LTLCardinality-12 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, --when, --ltl, <>(X(<>([]((LTLAP21==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 25927 ms.
FORMULA NQueens-PT-15-LTLCardinality-13 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, --ltl, [](<>([]([]((LTLAP22==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 2494 ms.
FORMULA NQueens-PT-15-LTLCardinality-14 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, --ltl, <>(<>(((LTLAP23==true))U((LTLAP24==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 2270 ms.
FORMULA NQueens-PT-15-LTLCardinality-15 FALSE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
ITS tools runner thread asked to quit. Dying gracefully.

BK_STOP 1553628000567

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

+ export BINDIR=/home/mcc/BenchKit/
+ BINDIR=/home/mcc/BenchKit/
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ LTLCardinality = StateSpace ]]
+ /home/mcc/BenchKit//runeclipse.sh /home/mcc/execution LTLCardinality -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 LTLCardinality -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 7:17:55 PM fr.lip6.move.gal.application.Application start
INFO: Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLCardinality, -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 7:17:55 PM fr.lip6.move.gal.application.MccTranslator transformPNML
INFO: Parsing pnml file : /home/mcc/execution/model.pnml
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.nupn.PTNetReader loadFromXML
INFO: Load time of PNML (sax parser for PT used): 70 ms
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 315 places.
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 225 transitions.
Mar 26, 2019 7:17:56 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/model.pnml.img.gal : 27 ms
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.DomainAnalyzer computeVariableDomains
INFO: Found a total of 2 fixed domain variables (out of 315 variables) in GAL type NQueens_PT_15
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: Found a total of 2 constant array cells/variables (out of 315 variables) in type NQueens_PT_15
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: L_29,R_0,
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.DomainAnalyzer computeVariableDomains
INFO: Found a total of 2 fixed domain variables (out of 315 variables) in GAL type NQueens_PT_15
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: Found a total of 2 constant array cells/variables (out of 315 variables) in type NQueens_PT_15
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: L_29,R_0,
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.Simplifier simplifyConstantVariables
INFO: Removed 2 constant variables :L_29=1, R_0=1
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 197 ms
Mar 26, 2019 7:17:56 PM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 103 ms
Mar 26, 2019 7:17:57 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 225 transitions.
Mar 26, 2019 7:17:57 PM fr.lip6.move.gal.application.StructuralToGreatSPN handlePage
INFO: Transformed 313 places.
Mar 26, 2019 7:17:57 PM fr.lip6.move.gal.application.StructuralToGreatSPN handlePage
INFO: Transformed 225 transitions.
Mar 26, 2019 7:17:57 PM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 225 transitions.
Mar 26, 2019 7:17:57 PM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/LTLCardinality.pnml.gal : 3 ms
Mar 26, 2019 7:17:57 PM fr.lip6.move.serialization.SerializationUtil serializePropertiesForITSLTLTools
INFO: Time to serialize properties into /home/mcc/execution/LTLCardinality.ltl : 5 ms
Mar 26, 2019 7:17:57 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver computeAndDeclareInvariants
INFO: Computed 88 place invariants in 92 ms
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver init
INFO: Proved 313 variables to be positive in 1296 ms
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may disable matrix : 225 transitions.
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of disable matrix completed :0/225 took 1 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete disable matrix. took 35 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may enable matrix : 225 transitions.
Mar 26, 2019 7:17:59 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete enable matrix. took 18 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:18:01 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeCoEnablingMatrix
INFO: Computing symmetric co enabling matrix : 225 transitions.
SMT solver raised 'unknown', retrying with same input.
SMT solver raised 'unknown' twice, overapproximating result to 1.
Mar 26, 2019 7:18:02 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of co-enabling matrix(0/225) took 1238 ms. Total solver calls (SAT/UNSAT): 2(2/0)
Mar 26, 2019 7:18:02 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Finished co-enabling matrix. took 1247 ms. Total solver calls (SAT/UNSAT): 2(2/0)
Mar 26, 2019 7:18:02 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeDoNotAccord
INFO: Computing Do-Not-Accords matrix : 225 transitions.
Mar 26, 2019 7:18:02 PM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Completed DNA matrix. took 24 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Mar 26, 2019 7:18:02 PM fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext transform
INFO: Built C files in 5401ms conformant to PINS in folder :/home/mcc/execution

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-15"
export BK_EXAMINATION="LTLCardinality"
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-15, examination is LTLCardinality"
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-oct2-155272230100042"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"

tar xzf /home/mcc/BenchKit/INPUTS/NQueens-PT-15.tgz
mv NQueens-PT-15 execution
cd execution
if [ "LTLCardinality" = "GlobalProperties" ] ; then
rm -f GenericPropertiesVerdict.xml
fi
if [ "LTLCardinality" = "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 [ "LTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLCardinality" != "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 "LTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLCardinality.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 '' LTLCardinality.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 ;