fond
Model Checking Contest 2018
8th edition, Bratislava, Slovakia, June 26, 2018
Execution of r285-csrt-152749176100347
Last Updated
June 26, 2018

About the Execution of ITS-Tools.L for NQueens-PT-15

Execution Summary
Max Memory
Used (MB)
Time wait (ms) CPU Usage (ms) I/O Wait (ms) Computed Result Execution
Status
15741.250 1623798.00 2338426.00 301.70 FFFFFFF?FFFFFFFF normal

Execution Chart

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

Trace from the execution

Waiting for the VM to be ready (probing ssh)
..................
/home/mcc/execution
total 352K
-rw-r--r-- 1 mcc users 3.3K May 30 21:47 CTLCardinality.txt
-rw-r--r-- 1 mcc users 19K May 30 21:47 CTLCardinality.xml
-rw-r--r-- 1 mcc users 3.0K May 29 15:50 CTLFireability.txt
-rw-r--r-- 1 mcc users 19K May 29 15:50 CTLFireability.xml
-rw-r--r-- 1 mcc users 2.3K May 28 09:54 LTLCardinality.txt
-rw-r--r-- 1 mcc users 11K May 28 09:54 LTLCardinality.xml
-rw-r--r-- 1 mcc users 1.8K May 28 08:09 LTLFireability.txt
-rw-r--r-- 1 mcc users 7.5K May 28 08:09 LTLFireability.xml
-rw-r--r-- 1 mcc users 1 May 24 11:17 NewModel
-rw-r--r-- 1 mcc users 4.0K May 28 06:39 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 21K May 28 06:39 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 104 May 26 06:29 ReachabilityDeadlock.txt
-rw-r--r-- 1 mcc users 342 May 26 06:29 ReachabilityDeadlock.xml
-rw-r--r-- 1 mcc users 2.7K May 27 04:08 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 14K May 27 04:08 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.6K May 28 07:31 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.6K May 28 07:31 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 May 24 11:17 equiv_col
-rw-r--r-- 1 mcc users 3 May 24 11:17 instance
-rw-r--r-- 1 mcc users 6 May 24 11:17 iscolored
-rw-r--r-- 1 mcc users 193K May 24 11:17 model.pnml
=====================================================================
Generated by BenchKit 2-3637
Executing tool itstoolsl
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 r285-csrt-152749176100347
=====================================================================

--------------------
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 1527993193447

Using solver Z3 to compute partial order matrices.
Built C files in :
/home/mcc/execution
Invoking ITS tools like this :CommandLine [args=[/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201805241334/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], workingDir=/home/mcc/execution]

its-ltl command run as :

/home/mcc/BenchKit/itstools/plugins/fr.lip6.move.gal.itstools.binaries_1.0.0.201805241334/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
Read 16 LTL properties
Checking formula 0 : !(((("(P_11_12<=P_5_2)")U("(P_9_13<=P_10_3)"))U(("(P_9_8>=1)")U("(P_10_5>=3)"))))
Formula 0 simplified : !(("(P_11_12<=P_5_2)" U "(P_9_13<=P_10_3)") U ("(P_9_8>=1)" U "(P_10_5>=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, -O3, model.c], workingDir=/home/mcc/execution]
Compilation finished in 3863 ms.
Running link step : CommandLine [args=[gcc, -shared, -o, gal.so, model.o], workingDir=/home/mcc/execution]
Link finished in 70 ms.
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, --ltl, (((LTLAP0==true))U((LTLAP1==true)))U(((LTLAP2==true))U((LTLAP3==true))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 209 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=1, -p, --pins-guards, --when, --ltl, []([](((LTLAP4==true))U((LTLAP5==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 1176 ms.
FORMULA NQueens-PT-15-LTLCardinality-01 FALSE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, --when, --ltl, X(<>((LTLAP6==true))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 69 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=1, -p, --pins-guards, --when, --ltl, <>([](<>((LTLAP7==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 259 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=1, --when, --ltl, X((LTLAP8==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 44 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=1, -p, --pins-guards, --when, --ltl, (LTLAP9==true), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 199 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=1, --when, --ltl, X(<>(X((LTLAP10==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 55 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=1, -p, --pins-guards, --when, --ltl, []((LTLAP11==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
WARNING : LTSmin timed out (>225 s) on command CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, --ltl, []((LTLAP11==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, --when, --ltl, X(X(((LTLAP12==true))U((LTLAP13==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 54 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=1, --when, --ltl, [](<>(X(X((LTLAP14==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 72 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=1, --when, --ltl, <>(<>(X(X((LTLAP15==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 145 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=1, -p, --pins-guards, --when, --ltl, (LTLAP16==true), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 147 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=1, --when, --ltl, X(([]((LTLAP17==true)))U(<>((LTLAP18==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 69 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=1, --when, --ltl, []([](X((LTLAP19==true)))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 90 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=1, -p, --pins-guards, --when, --ltl, <>([](<>(<>((LTLAP20==true))))), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 420 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=1, -p, --pins-guards, --when, --ltl, <>((LTLAP21==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
LTSmin run took 197 ms.
FORMULA NQueens-PT-15-LTLCardinality-15 FALSE TECHNIQUES PARTIAL_ORDER EXPLICIT LTSMIN SAT_SMT
Retrying LTSmin with larger timeout 1800 s
Running LTSmin : CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, --ltl, []((LTLAP11==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
sparsehash FATAL ERROR: failed to allocate 39 groups
WARNING : LTS min runner thread failed on error :java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, --ltl, []((LTLAP11==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
255

BK_STOP 1527994817245

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

+ export BINDIR=/home/mcc/BenchKit/
+ BINDIR=/home/mcc/BenchKit/
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ /home/mcc/BenchKit//runeclipse.sh /home/mcc/execution LTLCardinality -its -ltsminpath /home/mcc/BenchKit//lts_install_dir/ -louvain -smt
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ /home/mcc/BenchKit//itstools/its-tools -consoleLog -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/ -louvain -smt -vmargs -Dosgi.locking=none -Declipse.stateSaveDelayInterval=-1 -Dosgi.configuration.area=/tmp/.eclipse -Xss8m -Xms40m -Xmx8192m -Dfile.encoding=UTF-8 -Dosgi.requiredJavaVersion=1.6
Jun 03, 2018 2:33:15 AM 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/, -louvain, -smt]
Jun 03, 2018 2:33:15 AM fr.lip6.move.gal.application.MccTranslator transformPNML
INFO: Parsing pnml file : /home/mcc/execution/model.pnml
Jun 03, 2018 2:33:15 AM fr.lip6.move.gal.nupn.PTNetReader loadFromXML
INFO: Load time of PNML (sax parser for PT used): 101 ms
Jun 03, 2018 2:33:15 AM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 315 places.
Jun 03, 2018 2:33:15 AM fr.lip6.move.gal.pnml.togal.PTGALTransformer handlePage
INFO: Transformed 225 transitions.
Jun 03, 2018 2:33:15 AM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/model.pnml.img.gal : 38 ms
Jun 03, 2018 2:33:15 AM 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
Jun 03, 2018 2:33:15 AM 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
Jun 03, 2018 2:33:15 AM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: L_29,R_0,
Jun 03, 2018 2:33:16 AM 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
Jun 03, 2018 2:33:16 AM 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
Jun 03, 2018 2:33:16 AM fr.lip6.move.gal.instantiate.Simplifier printConstantVars
INFO: L_29,R_0,
Jun 03, 2018 2:33:16 AM fr.lip6.move.gal.instantiate.Simplifier simplifyConstantVariables
INFO: Removed 2 constant variables :L_29=1, R_0=1
Jun 03, 2018 2:33:16 AM fr.lip6.move.gal.instantiate.GALRewriter flatten
INFO: Flatten gal took : 148 ms
Jun 03, 2018 2:33:16 AM fr.lip6.move.serialization.SerializationUtil systemToFile
INFO: Time to serialize gal into /home/mcc/execution/LTLCardinality.pnml.gal : 6 ms
Jun 03, 2018 2:33:16 AM fr.lip6.move.serialization.SerializationUtil serializePropertiesForITSLTLTools
INFO: Time to serialize properties into /home/mcc/execution/LTLCardinality.ltl : 0 ms
Jun 03, 2018 2:33:16 AM fr.lip6.move.gal.semantics.DeterministicNextBuilder getDeterministicNext
INFO: Input system was already deterministic with 225 transitions.
Jun 03, 2018 2:33:16 AM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver computeAndDeclareInvariants
INFO: Computed 88 place invariants in 100 ms
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.KInductionSolver init
INFO: Proved 313 variables to be positive in 707 ms
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may disable matrix : 225 transitions.
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of disable matrix completed :0/225 took 0 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete disable matrix. took 26 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeAblingMatrix
INFO: Computing symmetric may enable matrix : 225 transitions.
Jun 03, 2018 2:33:17 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Complete enable matrix. took 23 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Jun 03, 2018 2:33:18 AM 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.
Jun 03, 2018 2:33:19 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Finished co-enabling matrix. took 1070 ms. Total solver calls (SAT/UNSAT): 2(2/0)
Jun 03, 2018 2:33:19 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver computeDoNotAccord
INFO: Computing Do-Not-Accords matrix : 225 transitions.
Jun 03, 2018 2:33:19 AM fr.lip6.move.gal.gal2smt.bmc.NecessaryEnablingsolver printStats
INFO: Computation of Completed DNA matrix. took 12 ms. Total solver calls (SAT/UNSAT): 0(0/0)
Jun 03, 2018 2:33:19 AM fr.lip6.move.gal.gal2pins.Gal2PinsTransformerNext transform
INFO: Built C files in 3248ms conformant to PINS in folder :/home/mcc/execution
ITS-tools command line returned an error code 1
pins2lts-mc, 0.000: Registering PINS so language module
pins2lts-mc, 0.000: Loading model from ./gal.so
pins2lts-mc, 0.000: library has no initializer
pins2lts-mc, 0.000: loading model GAL
pins2lts-mc, 0.003: completed loading model GAL
pins2lts-mc, 0.003: Initializing POR dependencies: labels 247, guards 225
pins2lts-mc, 0.137: LTL layer: formula: []((LTLAP11==true))
pins2lts-mc, 0.137: "[]((LTLAP11==true))" is not a file, parsing as formula...
pins2lts-mc, 0.137: Using Spin LTL semantics
pins2lts-mc, 0.145: buchi has 2 states
pins2lts-mc, 0.145: Weak Buchi automaton detected, adding non-accepting as progress label.
pins2lts-mc, 0.147: Forcing use of the an ignoring proviso (cndfs)
pins2lts-mc, 0.148: There are 249 state labels and 1 edge labels
pins2lts-mc, 0.148: State length is 314, there are 228 groups
pins2lts-mc, 0.148: Running cndfs using 1 core (sequential)
pins2lts-mc, 0.148: Using a tree table with 2^27 elements
pins2lts-mc, 0.148: Successor permutation: dynamic
pins2lts-mc, 0.148: Visible groups: 0 / 228, labels: 1 / 249
pins2lts-mc, 0.148: POR cycle proviso: cndfs (ltl)
pins2lts-mc, 0.148: Global bits: 2, count bits: 2, local bits: 0
pins2lts-mc, 0.302: [Blue] 15 levels 1000 states 3904 transitions
pins2lts-mc, 0.414: [Blue] 15 levels 2000 states 6975 transitions
pins2lts-mc, 0.640: [Blue] 16 levels 4000 states 13617 transitions
pins2lts-mc, 1.139: [Blue] 16 levels 8000 states 29646 transitions
pins2lts-mc, 2.087: [Blue] 16 levels 16000 states 58973 transitions
pins2lts-mc, 4.093: [Blue] 16 levels 32000 states 128264 transitions
pins2lts-mc, 7.991: [Blue] 16 levels 64000 states 265796 transitions
pins2lts-mc, 16.091: [Blue] 16 levels 128000 states 568076 transitions
pins2lts-mc, 32.263: [Blue] 16 levels 256000 states 1163103 transitions
pins2lts-mc, 69.318: [Blue] 16 levels 512000 states 2578702 transitions
pins2lts-mc, 139.179: [Blue] 16 levels 1024000 states 5176319 transitions
pins2lts-mc, 283.852: [Blue] 16 levels 2048000 states 10638476 transitions
pins2lts-mc, 608.214: [Blue] 16 levels 4096000 states 23369161 transitions
pins2lts-mc, 1206.179: [Blue] 16 levels 8192000 states 46463337 transitions
pins2lts-mc, 1384.651: Error: tree leafs table full! Change -s/--ratio.
pins2lts-mc, 1384.657:
pins2lts-mc, 1384.657: Explored 9089263 states 52648466 transitions, fanout: 5.792
pins2lts-mc, 1384.657: Total exploration time 1384.510 sec (1384.510 sec minimum, 1384.510 sec on average)
pins2lts-mc, 1384.657: States per second: 6565, Transitions per second: 38027
pins2lts-mc, 1384.657:
pins2lts-mc, 1384.657: State space has 9090057 states, 0 are accepting
pins2lts-mc, 1384.657: cndfs_1 (permutation: dynamic) stats:
pins2lts-mc, 1384.658: blue states: 9089263 (99.99%), transitions: 0 (per worker)
pins2lts-mc, 1384.658: red states: 0 (0.00%), bogus: 0 (0.00%), transitions: 0, waits: 0 (0.00 sec)
pins2lts-mc, 1384.658: all-red states: 0 (0.00%), bogus 0 (0.00%)
pins2lts-mc, 1384.658:
pins2lts-mc, 1384.658: Total memory used for local state coloring: 0.0MB
pins2lts-mc, 1384.658:
pins2lts-mc, 1384.658: Queue width: 8B, total height: 16, memory: 0.00MB
pins2lts-mc, 1384.658: Tree memory: 325.4MB, 37.5 B/state, compr.: 3.0%
pins2lts-mc, 1384.658: Tree fill ratio (roots/leafs): 6.0%/99.0%
pins2lts-mc, 1384.658: Stored 225 string chucks using 0MB
pins2lts-mc, 1384.658: Total memory used for chunk indexing: 0MB
pins2lts-mc, 1384.658: Est. total memory use: 325.4MB (~1024.0MB paged-in)
java.lang.RuntimeException: Unexpected exception when executing ltsmin :CommandLine [args=[/home/mcc/BenchKit//lts_install_dir//bin/pins2lts-mc, ./gal.so, --threads=1, -p, --pins-guards, --when, --ltl, []((LTLAP11==true)), --buchi-type=spotba], workingDir=/home/mcc/execution]
255
at fr.lip6.move.gal.application.LTSminRunner.checkProperty(LTSminRunner.java:167)
at fr.lip6.move.gal.application.LTSminRunner.access$9(LTSminRunner.java:122)
at fr.lip6.move.gal.application.LTSminRunner$1.run(LTSminRunner.java:98)
at java.lang.Thread.run(Thread.java:748)

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="itstoolsl"
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

tar xzf /home/mcc/BenchKit/INPUTS/NQueens-PT-15.tgz
mv NQueens-PT-15 execution
cd execution
pwd
ls -lh

# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-3637"
echo " Executing tool itstoolsl"
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 r285-csrt-152749176100347"
echo "====================================================================="
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 ;