PRISM
=====
Version: 4.5.dev
Date: Sat Mar 14 14:47:03 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 polling.18.prism polling.props --property s1_before_s2 -const T=16
Parsing model file "polling.18.prism"...
Type: CTMC
Modules: server station1 station2 station3 station4 station5 station6 station7 station8 station9 station10 station11 station12 station13 station14 station15 station16 station17 station18
Variables: s a s1 s2 s3 s4 s5 s6 s7 s8 s9 s10 s11 s12 s13 s14 s15 s16 s17 s18
Parsing properties file "polling.props"...
5 properties:
(1) "s1": S=? [ s1=1&!(s=1&a=1) ]
(2) "s1_before_s2": P=? [ !(s=2&a=1) U (s=1&a=1) ]
(3) "served": R{"served"}=? [ C<=T ]
(4) "station1_polled": P=? [ F<=T (s=1&a=0) ]
(5) "waiting": R{"waiting"}=? [ C<=T ]
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Model checking: "s1_before_s2": P=? [ !(s=2&a=1) U (s=1&a=1) ]
Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).
Building model...
Computing reachable states...
Reachability (BFS): 37 iterations in 0.15 seconds (average 0.004027, setup 0.00)
Time for model construction: 0.11 seconds.
Type: CTMC
States: 7077888 (1 initial)
Transitions: 69599232
Rate matrix: 2745 nodes (4 terminal), 69599232 minterms, vars: 24r/24c
Diagonals vector: 1540 nodes (38 terminal), 7077888 minterms
Embedded Markov chain: 17929 nodes (72 terminal), 69599232 minterms
Prob0: 36 iterations in 0.09 seconds (average 0.002361, setup 0.00)
Prob1: 35 iterations in 0.03 seconds (average 0.000714, setup 0.00)
yes = 3407872, no = 262144, maybe = 3407872
Computing remaining probabilities...
Engine: Sparse
Building sparse matrix... [n=7077888, nnz=35258368, compact] [141.3 MB]
Creating vector for diagonals... [dist=1, compact] [13.5 MB]
Creating vector for RHS... [dist=2, compact] [13.5 MB]
Allocating iteration vectors... [ 2 x 54.0 MB]
TOTAL: [276.3 MB]
Starting iterations...
Iteration 21: max relative diff=0.725781, 5.16 sec so far
Iteration 42: max relative diff=0.477707, 10.30 sec so far
Iteration 63: max relative diff=0.296655, 15.47 sec so far
Iteration 84: max relative diff=0.176925, 20.62 sec so far
Iteration 105: max relative diff=0.102824, 25.78 sec so far
Iteration 126: max relative diff=0.058829, 30.94 sec so far
Iteration 147: max relative diff=0.033350, 36.09 sec so far
Iteration 168: max relative diff=0.018807, 41.25 sec so far
Iteration 189: max relative diff=0.010573, 46.40 sec so far
Iteration 210: max relative diff=0.005935, 51.55 sec so far
Iteration 231: max relative diff=0.003328, 56.71 sec so far
Iteration 252: max relative diff=0.001865, 61.87 sec so far
Iteration 273: max relative diff=0.001045, 67.03 sec so far
Iteration 294: max relative diff=0.000585, 72.18 sec so far
Iteration 315: max relative diff=0.000328, 77.33 sec so far
Iteration 336: max relative diff=0.000184, 82.49 sec so far
Iteration 357: max relative diff=0.000103, 87.64 sec so far
Iteration 378: max relative diff=0.000058, 92.80 sec so far
Iteration 399: max relative diff=0.000032, 97.96 sec so far
Iteration 420: max relative diff=0.000018, 103.11 sec so far
Iteration 441: max relative diff=0.000010, 108.27 sec so far
Iteration 462: max relative diff=0.000006, 113.43 sec so far
Iteration 483: max relative diff=0.000003, 118.58 sec so far
Iteration 504: max relative diff=0.000002, 123.73 sec so far
Max relative diff between upper and lower bound on convergence: 9.95319E-07Iteration 525: max relative diff=0.000001, 128.88 sec so far
Backwards Gauss-Seidel (interval iteration): 525 iterations in 134.93 seconds (average 0.245495, setup 6.04)
Value in the initial state: 0.5390072449641057
Time for model checking: 135.167 seconds.
Result: 0.5390072449641057 (value in the initial state)
Overall running time: 135.866 seconds.
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Note: There was 1 warning during computation.