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:74.71178078651428s
Return code:0
Relative Error:5.6416600330326686e-05
Log
PRISM
=====

Version: 4.5.dev
Date: Fri Feb 26 15:07:42 CET 2021
Hostname: christopher
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" ]

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

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 0.05 seconds (average 0.000356, setup 0.00)

Time for model construction: 0.087 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 0.70 seconds (average 0.006070, setup 0.00)

Prob1E: 1925 iterations in 19.56 seconds (average 0.010162, 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 356: max relative diff=0.041738, 5.01 sec so far
Iteration 708: max relative diff=0.008524, 10.02 sec so far
Iteration 1061: max relative diff=0.002557, 15.03 sec so far
Iteration 1413: max relative diff=0.000860, 20.03 sec so far
Iteration 1765: max relative diff=0.000306, 25.04 sec so far
Iteration 2118: max relative diff=0.000110, 30.05 sec so far
Iteration 2470: max relative diff=0.000040, 35.07 sec so far
Iteration 2822: max relative diff=0.000015, 40.08 sec so far
Iteration 3174: max relative diff=0.000005, 45.08 sec so far
Iteration 3526: max relative diff=0.000002, 50.09 sec so far

Iterative method: 3759 iterations in 53.97 seconds (average 0.014205, setup 0.58)

Value in the initial state: 0.36362423396240773

Time for model checking: 74.294 seconds.

Result: 0.36362423396240773 (value in the initial state)


Overall running time: 74.61 seconds.

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Note: There was 1 warning during computation.