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 -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 consensus.6.prism consensus.props --property disagree -const K=2
Execution
Walltime:118.58497667312622s
Return code:0
Relative Error:0.00022139607350764358
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 15:44:28 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -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 0.18 seconds (average 0.001242, setup 0.00)

Time for model construction: 0.16 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 1.30 seconds (average 0.011330, setup 0.00)

Prob1E: 1925 iterations in 27.71 seconds (average 0.014396, setup 0.00)

yes = 583956, no = 27270, maybe = 647014

Computing remaining probabilities...
Engine: Sparse

Building quotient MDP, collapsing maximal end components as well as yes and no states...
Time for computing maximal end components: 2.028 seconds, found 0 MECs.
Time for building MEC quotient: 2.822 seconds.

Quotient MDP:
States:      647016 (1 initial)
Transitions: 3890724
Choices:     3131172

Transition matrix: 431336 nodes (3 terminal), 3890724 minterms, vars: 24r/24c/31nd
Note: Interval iteration is configured to enforce monotonicity from below.

Building sparse matrix... [n=647016, nc=2997228, nnz=3756780, k=6] [46.5 MB]
Creating vector for yes... [4.9 MB]
Creating vector for maybe... [4.9 MB]
Allocating iteration vectors... [4 x 4.9 MB]
TOTAL: [76.1 MB]

Starting iterations (interval iteration)...
Iteration 102: max relative diff=1.000000, 5.01 sec so far
Iteration 201: max relative diff=0.989997, 10.02 sec so far
Iteration 300: max relative diff=0.945562, 15.03 sec so far
Iteration 399: max relative diff=0.867825, 20.03 sec so far
Iteration 498: max relative diff=0.765785, 25.05 sec so far
Iteration 598: max relative diff=0.650500, 30.10 sec so far
Iteration 697: max relative diff=0.540102, 35.10 sec so far
Iteration 796: max relative diff=0.438233, 40.10 sec so far
Iteration 895: max relative diff=0.350596, 45.10 sec so far
Iteration 995: max relative diff=0.274608, 50.15 sec so far
Iteration 1094: max relative diff=0.214029, 55.16 sec so far
Iteration 1193: max relative diff=0.165775, 60.16 sec so far
Iteration 1292: max relative diff=0.127428, 65.16 sec so far
Iteration 1391: max relative diff=0.097562, 70.17 sec so far
Iteration 1490: max relative diff=0.074357, 75.17 sec so far
Iteration 1589: max relative diff=0.056536, 80.18 sec so far
Max relative diff between upper and lower bound on convergence: 0.0498618
Iterative method (interval iteration): 1634 iterations in 83.64 seconds (average 0.050457, setup 1.19)

Value in the initial state: 0.36372525908261094

Time for model checking: 117.628 seconds.

Result: 0.36372525908261094 (value in the initial state)


Overall running time: 118.368 seconds.

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Note: There was 1 warning during computation.