PRISM

Benchmark
Model:consensus v.1 (MDP)
Parameter(s)N = 6, K = 2
Property:disagree (prob-reach)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 consensus.6.prism consensus.props --property disagree -const K=2
Execution
Walltime:147.07581901550293s
Return code:0
Relative Error:5.6416600330326686e-05
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 15:39:34 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 consensus.6.prism consensus.props --property disagree -const K=2

Parsing model file "consensus.6.prism"...

Type:        MDP
Modules:     process1 process2 process3 process4 process5 process6 
Variables:   counter pc1 coin1 pc2 coin2 pc3 coin3 pc4 coin4 pc5 coin5 pc6 coin6 

Parsing properties file "consensus.props"...

5 properties:
(1) "c1": P>=1 [ F "finished" ]
(2) "c2": Pmin=? [ F "finished"&"all_coins_equal_1" ]
(3) "disagree": Pmax=? [ F "finished"&!"agree" ]
(4) "steps_max": R{"steps"}max=? [ F "finished" ]
(5) "steps_min": R{"steps"}min=? [ F "finished" ]

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Model checking: "disagree": Pmax=? [ F "finished"&!"agree" ]
Model constants: K=2

Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).

Building model...
Model constants: K=2

Computing reachable states...

Reachability (BFS): 149 iterations in 0.21 seconds (average 0.001409, setup 0.00)

Time for model construction: 0.159 seconds.

Type:        MDP
States:      1258240 (1 initial)
Transitions: 6236736
Choices:     5008128

Transition matrix: 7075 nodes (3 terminal), 6236736 minterms, vars: 24r/24c/6nd

Prob0A: 115 iterations in 1.23 seconds (average 0.010678, setup 0.00)

Prob1E: 1925 iterations in 27.32 seconds (average 0.014194, setup 0.00)

yes = 583956, no = 27270, maybe = 647014

Computing remaining probabilities...
Engine: Sparse

Building sparse matrix... [n=1258240, nc=2997228, nnz=3756780, k=6] [47.1 MB]
Creating vector for yes... [9.6 MB]
Allocating iteration vectors... [2 x 9.6 MB]
TOTAL: [75.9 MB]

Starting iterations...
Iteration 163: max relative diff=0.211638, 5.01 sec so far
Iteration 325: max relative diff=0.049996, 10.03 sec so far
Iteration 487: max relative diff=0.021213, 15.05 sec so far
Iteration 649: max relative diff=0.010714, 20.06 sec so far
Iteration 811: max relative diff=0.005886, 25.08 sec so far
Iteration 973: max relative diff=0.003396, 30.10 sec so far
Iteration 1135: max relative diff=0.002020, 35.12 sec so far
Iteration 1297: max relative diff=0.001225, 40.14 sec so far
Iteration 1459: max relative diff=0.000753, 45.16 sec so far
Iteration 1621: max relative diff=0.000466, 50.17 sec so far
Iteration 1783: max relative diff=0.000291, 55.20 sec so far
Iteration 1945: max relative diff=0.000182, 60.21 sec so far
Iteration 2107: max relative diff=0.000114, 65.23 sec so far
Iteration 2269: max relative diff=0.000071, 70.25 sec so far
Iteration 2431: max relative diff=0.000045, 75.27 sec so far
Iteration 2593: max relative diff=0.000028, 80.29 sec so far
Iteration 2755: max relative diff=0.000018, 85.32 sec so far
Iteration 2917: max relative diff=0.000011, 90.34 sec so far
Iteration 3079: max relative diff=0.000007, 95.35 sec so far
Iteration 3241: max relative diff=0.000004, 100.36 sec so far
Iteration 3403: max relative diff=0.000003, 105.39 sec so far
Iteration 3565: max relative diff=0.000002, 110.40 sec so far
Iteration 3727: max relative diff=0.000001, 115.42 sec so far

Iterative method: 3759 iterations in 117.61 seconds (average 0.030969, setup 1.20)

Value in the initial state: 0.36362423396240773

Time for model checking: 146.155 seconds.

Result: 0.36362423396240773 (value in the initial state)


Overall running time: 146.885 seconds.

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Note: There was 1 warning during computation.