PRISM

Benchmark
Model:consensus v.1 (MDP)
Parameter(s)N = 4, K = 4
Property:disagree (prob-reach)
Invocation (specific)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -heuristic speed -e 1e-6 -ddextraactionvars 100 -maxiters 1000000 consensus.4.prism consensus.props --property disagree -const K=4
Execution
Walltime:23.138051986694336s
Return code:0
Relative Error:8.263596509451407e-11
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 15:25:14 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.4.prism consensus.props --property disagree -const K=4

Parsing model file "consensus.4.prism"...

Type:        MDP
Modules:     process1 process2 process3 process4 
Variables:   counter pc1 coin1 pc2 coin2 pc3 coin3 pc4 coin4 

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=4

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

Building model...
Model constants: K=4

Computing reachable states...

Reachability (BFS): 195 iterations in 0.11 seconds (average 0.000554, setup 0.00)

Time for model construction: 0.084 seconds.

Type:        MDP
States:      43136 (1 initial)
Transitions: 144352
Choices:     115840

Transition matrix: 2336 nodes (3 terminal), 144352 minterms, vars: 18r/18c/4nd

Prob0A: 149 iterations in 0.37 seconds (average 0.002503, setup 0.00)

Prob1E: 2480 iterations in 3.09 seconds (average 0.001246, setup 0.00)

yes = 10872, no = 910, maybe = 31354

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: 0.217 seconds, found 0 MECs.
Time for building MEC quotient: 0.087 seconds.

Quotient MDP:
States:      31356 (1 initial)
Transitions: 120872
Choices:     97048

Transition matrix: 13776 nodes (3 terminal), 120872 minterms, vars: 18r/18c/23nd
Note: Interval iteration is configured to enforce monotonicity from below.

Building sparse matrix... [n=31356, nc=94344, nnz=118168, k=4] [1.5 MB]
Creating vector for yes... [245.0 KB]
Creating vector for maybe... [245.0 KB]
Allocating iteration vectors... [4 x 245.0 KB]
TOTAL: [2.9 MB]

Starting iterations (interval iteration)...
Iteration 2748: max relative diff=0.143603, 5.00 sec so far
Iteration 5484: max relative diff=0.001957, 10.00 sec so far
Iteration 8202: max relative diff=0.000025, 15.00 sec so far
Max relative diff between upper and lower bound on convergence: 9.99841E-07
Iterative method (interval iteration): 10196 iterations in 18.68 seconds (average 0.001828, setup 0.04)

Value in the initial state: 0.1560730640009612

Time for model checking: 22.312 seconds.

Result: 0.1560730640009612 (value in the initial state)


Overall running time: 22.961 seconds.

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

Note: There was 1 warning during computation.