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 -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 consensus.6.prism consensus.props --property disagree -const K=2
Execution
Walltime:309.71330881118774s
Return code:0
Relative Error:4.1881358650710516e-09
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 15:29:14 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 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" ]

---------------------------------------------------------------------

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 0.34 seconds (average 0.002295, setup 0.00)

Time for model construction: 0.18 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 1.08 seconds (average 0.009357, setup 0.00)

Prob1E: 1925 iterations in 27.65 seconds (average 0.014365, 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: 2.027 seconds, found 0 MECs.
Time for building MEC quotient: 2.846 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, 5.00 sec so far
Iteration 202: max relative diff=0.989950, 10.05 sec so far
Iteration 302: max relative diff=0.943836, 15.09 sec so far
Iteration 402: max relative diff=0.865248, 20.14 sec so far
Iteration 502: max relative diff=0.760604, 25.19 sec so far
Iteration 602: max relative diff=0.644939, 30.24 sec so far
Iteration 702: max relative diff=0.534284, 35.28 sec so far
Iteration 802: max relative diff=0.432499, 40.32 sec so far
Iteration 902: max relative diff=0.343099, 45.37 sec so far
Iteration 1002: max relative diff=0.270539, 50.42 sec so far
Iteration 1102: max relative diff=0.210719, 55.47 sec so far
Iteration 1202: max relative diff=0.161806, 60.51 sec so far
Iteration 1302: max relative diff=0.124425, 65.56 sec so far
Iteration 1401: max relative diff=0.095137, 70.57 sec so far
Iteration 1501: max relative diff=0.072531, 75.61 sec so far
Iteration 1600: max relative diff=0.055110, 80.61 sec so far
Iteration 1700: max relative diff=0.041454, 85.65 sec so far
Iteration 1800: max relative diff=0.031376, 90.69 sec so far
Iteration 1900: max relative diff=0.023720, 95.74 sec so far
Iteration 2000: max relative diff=0.017770, 100.79 sec so far
Iteration 2100: max relative diff=0.013409, 105.84 sec so far
Iteration 2200: max relative diff=0.010115, 110.89 sec so far
Iteration 2300: max relative diff=0.007565, 115.93 sec so far
Iteration 2400: max relative diff=0.005701, 120.98 sec so far
Iteration 2500: max relative diff=0.004296, 126.03 sec so far
Iteration 2600: max relative diff=0.003211, 131.07 sec so far
Iteration 2700: max relative diff=0.002418, 136.12 sec so far
Iteration 2800: max relative diff=0.001822, 141.17 sec so far
Iteration 2900: max relative diff=0.001361, 146.22 sec so far
Iteration 3000: max relative diff=0.001025, 151.26 sec so far
Iteration 3099: max relative diff=0.000772, 156.26 sec so far
Iteration 3199: max relative diff=0.000581, 161.31 sec so far
Iteration 3299: max relative diff=0.000434, 166.36 sec so far
Iteration 3399: max relative diff=0.000327, 171.41 sec so far
Iteration 3499: max relative diff=0.000246, 176.46 sec so far
Iteration 3599: max relative diff=0.000184, 181.50 sec so far
Iteration 3699: max relative diff=0.000139, 186.54 sec so far
Iteration 3799: max relative diff=0.000104, 191.59 sec so far
Iteration 3899: max relative diff=0.000078, 196.63 sec so far
Iteration 3999: max relative diff=0.000059, 201.68 sec so far
Iteration 4099: max relative diff=0.000044, 206.72 sec so far
Iteration 4199: max relative diff=0.000033, 211.77 sec so far
Iteration 4298: max relative diff=0.000025, 216.77 sec so far
Iteration 4398: max relative diff=0.000019, 221.82 sec so far
Iteration 4498: max relative diff=0.000014, 226.87 sec so far
Iteration 4598: max relative diff=0.000011, 231.92 sec so far
Iteration 4698: max relative diff=0.000008, 236.96 sec so far
Iteration 4798: max relative diff=0.000006, 242.01 sec so far
Iteration 4898: max relative diff=0.000004, 247.05 sec so far
Iteration 4998: max relative diff=0.000003, 252.09 sec so far
Iteration 5098: max relative diff=0.000003, 257.14 sec so far
Iteration 5198: max relative diff=0.000002, 262.18 sec so far
Iteration 5298: max relative diff=0.000001, 267.23 sec so far
Iteration 5397: max relative diff=0.000001, 272.24 sec so far
Max relative diff between upper and lower bound on convergence: 9.99477E-07
Iterative method (interval iteration): 5420 iterations in 274.60 seconds (average 0.050445, setup 1.19)

Value in the initial state: 0.36364475108589966

Time for model checking: 308.742 seconds.

Result: 0.36364475108589966 (value in the initial state)


Overall running time: 309.498 seconds.

---------------------------------------------------------------------

Note: There was 1 warning during computation.