PRISM

Benchmark
Model:herman v.1 (DTMC)
Parameter(s)N = 15
Property:steps (exp-reward)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -heuristic speed -e 1e-6 -maxiters 1000000 herman.15.prism herman.props --property steps
Execution
Walltime:5.859082937240601s
Return code:0
Relative Error:9.4649282638e-06
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 12:15:09 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 herman.15.prism herman.props --property steps

Parsing model file "herman.15.prism"...

Type:        DTMC
Modules:     process1 process2 process3 process4 process5 process6 process7 process8 process9 process10 process11 process12 process13 process14 process15 
Variables:   x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 

Parsing properties file "herman.props"...

1 property:
(1) "steps": filter(max, R=? [ F "stable" ], "init")

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

Model checking: "steps": filter(max, R=? [ F "stable" ], "init")

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

Building model...

Computing reachable states...

Reachability (BFS): 1 iterations in 0.00 seconds (average 0.000000, setup 0.00)

Time for model construction: 0.025 seconds.

Type:        DTMC
States:      32768 (32768 initial)
Transitions: 14348908

Transition matrix: 810 nodes (9 terminal), 14348908 minterms, vars: 15r/15c

Prob0: 6 iterations in 0.03 seconds (average 0.004833, setup 0.00)

Prob1: 1 iterations in 0.00 seconds (average 0.000000, setup 0.00)

goal = 30, inf = 0, maybe = 32738

Computing remaining rewards...
Engine: Sparse

Building sparse matrix... [n=32768, nnz=14348846, compact] [54.9 MB]
Creating vector for diagonals... [dist=2, compact] [64.0 KB]
Creating vector for RHS... [dist=2, compact] [64.0 KB]
Allocating iteration vector... [256.0 KB]
TOTAL: [55.2 MB]

Starting iterations...

Backwards Gauss-Seidel: 132 iterations in 5.29 seconds (average 0.029227, setup 1.43)

Maximum value over states satisfying filter: 33.33301783572454

There are 10 states with (approximately) this value:
5285:(0,0,1,0,1,0,0,1,0,1,0,0,1,0,1)
9513:(0,1,0,0,1,0,1,0,0,1,0,1,0,0,1)
10570:(0,1,0,1,0,0,1,0,1,0,0,1,0,1,0)
11627:(0,1,0,1,1,0,1,0,1,1,0,1,0,1,1)
13741:(0,1,1,0,1,0,1,1,0,1,0,1,1,0,1)
19026:(1,0,0,1,0,1,0,0,1,0,1,0,0,1,0)
21140:(1,0,1,0,0,1,0,1,0,0,1,0,1,0,0)
22197:(1,0,1,0,1,1,0,1,0,1,1,0,1,0,1)
23254:(1,0,1,1,0,1,0,1,1,0,1,0,1,1,0)
27482:(1,1,0,1,0,1,1,0,1,0,1,1,0,1,0)

Time for model checking: 5.117 seconds.

Result: 33.33301783572454 (maximum value over states satisfying filter)


Overall running time: 5.699 seconds.

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Note: There was 1 warning during computation.