PRISM
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Version: 4.5.dev
Date: Sat Mar 14 15:26:00 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.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" ]
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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 0.12 seconds (average 0.000641, 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 0.42 seconds (average 0.002826, setup 0.00)
Prob1E: 2480 iterations in 3.09 seconds (average 0.001247, 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: 0.215 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 2762: max relative diff=0.140528, 5.00 sec so far
Max relative diff between upper and lower bound on convergence: 0.0499031
Iterative method (interval iteration): 3446 iterations in 6.29 seconds (average 0.001812, setup 0.04)
Value in the initial state: 0.15625355750625436
Time for model checking: 9.902 seconds.
Result: 0.15625355750625436 (value in the initial state)
Overall running time: 10.544 seconds.
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Note: There was 1 warning during computation.