About the Execution of Marcie+red for CloudDeployment-PT-4a
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
5584.771 | 28045.00 | 42581.00 | 689.40 | FFTTTFFFFTFFTFTF | normal |
Execution Chart
We display below the execution chart for this examination (boot time has been removed).
Trace from the execution
Formatting '/data/fkordon/mcc2023-input.r074-smll-167814400200393.qcow2', fmt=qcow2 size=4294967296 backing_file=/data/fkordon/mcc2023-input.qcow2 cluster_size=65536 lazy_refcounts=off refcount_bits=16
Waiting for the VM to be ready (probing ssh)
....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
=====================================================================
Generated by BenchKit 2-5348
Executing tool marciexred
Input is CloudDeployment-PT-4a, examination is CTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r074-smll-167814400200393
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 612K
-rw-r--r-- 1 mcc users 7.2K Feb 25 15:01 CTLCardinality.txt
-rw-r--r-- 1 mcc users 84K Feb 25 15:01 CTLCardinality.xml
-rw-r--r-- 1 mcc users 6.3K Feb 25 14:54 CTLFireability.txt
-rw-r--r-- 1 mcc users 61K Feb 25 14:54 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K Jan 29 11:40 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.8K Jan 29 11:40 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 3.3K Feb 25 15:45 LTLCardinality.txt
-rw-r--r-- 1 mcc users 23K Feb 25 15:45 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.3K Feb 25 15:45 LTLFireability.txt
-rw-r--r-- 1 mcc users 17K Feb 25 15:45 LTLFireability.xml
-rw-r--r-- 1 mcc users 13K Feb 25 15:10 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 138K Feb 25 15:10 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 5.5K Feb 25 15:06 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 40K Feb 25 15:06 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.7K Feb 25 15:45 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.7K Feb 25 15:45 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 Mar 5 18:22 equiv_col
-rw-r--r-- 1 mcc users 3 Mar 5 18:22 instance
-rw-r--r-- 1 mcc users 6 Mar 5 18:22 iscolored
-rw-r--r-- 1 mcc users 156K Mar 5 18:22 model.pnml
--------------------
content from stdout:
=== Data for post analysis generated by BenchKit (invocation template)
The expected result is a vector of booleans
BOOL_VECTOR
here is the order used to build the result vector(from text file)
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-00
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-01
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-02
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-03
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-04
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-05
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-06
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-07
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-08
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-09
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-10
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-11
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-12
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-13
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-14
FORMULA_NAME CloudDeployment-PT-4a-CTLCardinality-15
=== Now, execution of the tool begins
BK_START 1678486549108
bash -c /home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n "BK_STOP " ; date -u +%s%3N
Invoking MCC driver with
BK_TOOL=marciexred
BK_EXAMINATION=CTLCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=CloudDeployment-PT-4a
Applying reductions before tool marcie
Invoking reducer
Running Version 202303021504
[2023-03-10 22:15:52] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, CTLCardinality, -timeout, 360, -rebuildPNML]
[2023-03-10 22:15:52] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2023-03-10 22:15:52] [INFO ] Load time of PNML (sax parser for PT used): 146 ms
[2023-03-10 22:15:52] [INFO ] Transformed 141 places.
[2023-03-10 22:15:52] [INFO ] Transformed 475 transitions.
[2023-03-10 22:15:52] [INFO ] Found NUPN structural information;
[2023-03-10 22:15:52] [INFO ] Parsed PT model containing 141 places and 475 transitions and 2657 arcs in 320 ms.
Parsed 16 properties from file /home/mcc/execution/CTLCardinality.xml in 17 ms.
Ensure Unique test removed 52 transitions
Reduce redundant transitions removed 52 transitions.
FORMULA CloudDeployment-PT-4a-CTLCardinality-00 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA CloudDeployment-PT-4a-CTLCardinality-11 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA CloudDeployment-PT-4a-CTLCardinality-12 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA CloudDeployment-PT-4a-CTLCardinality-13 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Support contains 71 out of 141 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 141/141 places, 423/423 transitions.
Ensure Unique test removed 8 places
Iterating post reduction 0 with 8 rules applied. Total rules applied 8 place count 133 transition count 423
Drop transitions removed 38 transitions
Redundant transition composition rules discarded 38 transitions
Iterating global reduction 1 with 38 rules applied. Total rules applied 46 place count 133 transition count 385
Applied a total of 46 rules in 38 ms. Remains 133 /141 variables (removed 8) and now considering 385/423 (removed 38) transitions.
[2023-03-10 22:15:52] [INFO ] Flow matrix only has 226 transitions (discarded 159 similar events)
// Phase 1: matrix 226 rows 133 cols
[2023-03-10 22:15:52] [INFO ] Computed 16 place invariants in 17 ms
[2023-03-10 22:15:53] [INFO ] Implicit Places using invariants in 384 ms returned []
[2023-03-10 22:15:53] [INFO ] Flow matrix only has 226 transitions (discarded 159 similar events)
[2023-03-10 22:15:53] [INFO ] Invariant cache hit.
[2023-03-10 22:15:53] [INFO ] State equation strengthened by 90 read => feed constraints.
[2023-03-10 22:15:53] [INFO ] Implicit Places using invariants and state equation in 359 ms returned []
Implicit Place search using SMT with State Equation took 797 ms to find 0 implicit places.
[2023-03-10 22:15:53] [INFO ] Flow matrix only has 226 transitions (discarded 159 similar events)
[2023-03-10 22:15:53] [INFO ] Invariant cache hit.
[2023-03-10 22:15:54] [INFO ] Dead Transitions using invariants and state equation in 423 ms found 0 transitions.
Starting structural reductions in LTL mode, iteration 1 : 133/141 places, 385/423 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 1261 ms. Remains : 133/141 places, 385/423 transitions.
Support contains 71 out of 133 places after structural reductions.
[2023-03-10 22:15:54] [INFO ] Flatten gal took : 101 ms
[2023-03-10 22:15:54] [INFO ] Flatten gal took : 49 ms
[2023-03-10 22:15:54] [INFO ] Input system was already deterministic with 385 transitions.
Support contains 65 out of 133 places (down from 71) after GAL structural reductions.
Incomplete random walk after 10000 steps, including 157 resets, run finished after 577 ms. (steps per millisecond=17 ) properties (out of 49) seen :47
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 31 ms. (steps per millisecond=322 ) properties (out of 2) seen :1
Incomplete Best-First random walk after 10001 steps, including 24 resets, run finished after 12 ms. (steps per millisecond=833 ) properties (out of 1) seen :0
Running SMT prover for 1 properties.
[2023-03-10 22:15:55] [INFO ] Flow matrix only has 226 transitions (discarded 159 similar events)
[2023-03-10 22:15:55] [INFO ] Invariant cache hit.
[2023-03-10 22:15:55] [INFO ] [Real]Absence check using 0 positive and 16 generalized place invariants in 6 ms returned sat
[2023-03-10 22:15:55] [INFO ] After 208ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:1
[2023-03-10 22:15:55] [INFO ] [Nat]Absence check using 0 positive and 16 generalized place invariants in 8 ms returned sat
[2023-03-10 22:15:55] [INFO ] After 131ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :1
[2023-03-10 22:15:55] [INFO ] State equation strengthened by 90 read => feed constraints.
[2023-03-10 22:15:55] [INFO ] After 50ms SMT Verify possible using 90 Read/Feed constraints in natural domain returned unsat :0 sat :1
[2023-03-10 22:15:55] [INFO ] After 98ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :1
Attempting to minimize the solution found.
Minimization took 30 ms.
[2023-03-10 22:15:55] [INFO ] After 381ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :1
Parikh walk visited 0 properties in 7 ms.
Support contains 2 out of 133 places. Attempting structural reductions.
Starting structural reductions in REACHABILITY mode, iteration 0 : 133/133 places, 385/385 transitions.
Graph (trivial) has 156 edges and 133 vertex of which 39 / 133 are part of one of the 12 SCC in 10 ms
Free SCC test removed 27 places
Drop transitions removed 87 transitions
Ensure Unique test removed 20 transitions
Reduce isomorphic transitions removed 107 transitions.
Graph (complete) has 557 edges and 106 vertex of which 105 are kept as prefixes of interest. Removing 1 places using SCC suffix rule.4 ms
Discarding 1 places :
Also discarding 0 output transitions
Discarding 5 places :
Symmetric choice reduction at 0 with 5 rule applications. Total rules 7 place count 100 transition count 261
Iterating global reduction 0 with 5 rules applied. Total rules applied 12 place count 100 transition count 261
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 13 place count 99 transition count 260
Iterating global reduction 0 with 1 rules applied. Total rules applied 14 place count 99 transition count 260
Performed 4 Post agglomeration using F-continuation condition.Transition count delta: 4
Deduced a syphon composed of 4 places in 0 ms
Reduce places removed 4 places and 0 transitions.
Iterating global reduction 0 with 8 rules applied. Total rules applied 22 place count 95 transition count 256
Performed 11 Post agglomeration using F-continuation condition.Transition count delta: -27
Deduced a syphon composed of 11 places in 1 ms
Reduce places removed 11 places and 0 transitions.
Iterating global reduction 0 with 22 rules applied. Total rules applied 44 place count 84 transition count 283
Drop transitions removed 54 transitions
Redundant transition composition rules discarded 54 transitions
Iterating global reduction 0 with 54 rules applied. Total rules applied 98 place count 84 transition count 229
Free-agglomeration rule applied 1 times.
Iterating global reduction 0 with 1 rules applied. Total rules applied 99 place count 84 transition count 228
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 0 with 1 rules applied. Total rules applied 100 place count 83 transition count 228
Partial Free-agglomeration rule applied 1 times.
Drop transitions removed 1 transitions
Iterating global reduction 1 with 1 rules applied. Total rules applied 101 place count 83 transition count 228
Applied a total of 101 rules in 126 ms. Remains 83 /133 variables (removed 50) and now considering 228/385 (removed 157) transitions.
Finished structural reductions in REACHABILITY mode , in 1 iterations and 126 ms. Remains : 83/133 places, 228/385 transitions.
Incomplete random walk after 10000 steps, including 205 resets, run finished after 72 ms. (steps per millisecond=138 ) properties (out of 1) seen :0
Incomplete Best-First random walk after 10000 steps, including 32 resets, run finished after 23 ms. (steps per millisecond=434 ) properties (out of 1) seen :0
Interrupted probabilistic random walk after 1289066 steps, run timeout after 3001 ms. (steps per millisecond=429 ) properties seen :{}
Probabilistic random walk after 1289066 steps, saw 197761 distinct states, run finished after 3002 ms. (steps per millisecond=429 ) properties seen :0
Running SMT prover for 1 properties.
[2023-03-10 22:15:59] [INFO ] Flow matrix only has 112 transitions (discarded 116 similar events)
// Phase 1: matrix 112 rows 83 cols
[2023-03-10 22:15:59] [INFO ] Computed 16 place invariants in 6 ms
[2023-03-10 22:15:59] [INFO ] [Real]Absence check using 4 positive place invariants in 3 ms returned sat
[2023-03-10 22:15:59] [INFO ] [Real]Absence check using 4 positive and 12 generalized place invariants in 6 ms returned sat
[2023-03-10 22:15:59] [INFO ] After 133ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:1
[2023-03-10 22:15:59] [INFO ] [Nat]Absence check using 4 positive place invariants in 2 ms returned sat
[2023-03-10 22:15:59] [INFO ] [Nat]Absence check using 4 positive and 12 generalized place invariants in 3 ms returned sat
[2023-03-10 22:15:59] [INFO ] After 68ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :1
[2023-03-10 22:15:59] [INFO ] State equation strengthened by 67 read => feed constraints.
[2023-03-10 22:15:59] [INFO ] After 29ms SMT Verify possible using 67 Read/Feed constraints in natural domain returned unsat :0 sat :1
[2023-03-10 22:15:59] [INFO ] Deduced a trap composed of 4 places in 98 ms of which 1 ms to minimize.
[2023-03-10 22:15:59] [INFO ] Deduced a trap composed of 4 places in 91 ms of which 2 ms to minimize.
[2023-03-10 22:15:59] [INFO ] Trap strengthening procedure managed to obtain unsat after adding 2 trap constraints in 208 ms
[2023-03-10 22:15:59] [INFO ] After 245ms SMT Verify possible using trap constraints in natural domain returned unsat :1 sat :0
[2023-03-10 22:15:59] [INFO ] After 365ms SMT Verify possible using all constraints in natural domain returned unsat :1 sat :0
Fused 1 Parikh solutions to 0 different solutions.
Parikh walk visited 0 properties in 0 ms.
Successfully simplified 1 atomic propositions for a total of 12 simplifications.
[2023-03-10 22:15:59] [INFO ] Flatten gal took : 34 ms
[2023-03-10 22:15:59] [INFO ] Flatten gal took : 33 ms
[2023-03-10 22:15:59] [INFO ] Input system was already deterministic with 385 transitions.
Computed a total of 65 stabilizing places and 249 stable transitions
Graph (complete) has 1099 edges and 133 vertex of which 132 are kept as prefixes of interest. Removing 1 places using SCC suffix rule.5 ms
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 1 place count 132 transition count 384
Iterating global reduction 0 with 1 rules applied. Total rules applied 2 place count 132 transition count 384
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 3 place count 131 transition count 383
Iterating global reduction 0 with 1 rules applied. Total rules applied 4 place count 131 transition count 383
Applied a total of 4 rules in 11 ms. Remains 131 /133 variables (removed 2) and now considering 383/385 (removed 2) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 12 ms. Remains : 131/133 places, 383/385 transitions.
[2023-03-10 22:15:59] [INFO ] Flatten gal took : 28 ms
[2023-03-10 22:15:59] [INFO ] Flatten gal took : 33 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 383 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 13 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 13 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 22 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 22 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 13 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 14 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 27 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 21 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 10 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 10 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 18 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 19 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 7 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 8 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 17 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 20 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 9 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 10 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 17 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 16 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 7 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 7 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 14 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 16 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 6 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 6 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 14 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 15 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 7 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 7 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 16 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 16 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in SI_CTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Graph (trivial) has 159 edges and 133 vertex of which 39 / 133 are part of one of the 12 SCC in 0 ms
Free SCC test removed 27 places
Ensure Unique test removed 66 transitions
Reduce isomorphic transitions removed 66 transitions.
Reduce places removed 1 places and 1 transitions.
Discarding 5 places :
Symmetric choice reduction at 0 with 5 rule applications. Total rules 6 place count 100 transition count 298
Iterating global reduction 0 with 5 rules applied. Total rules applied 11 place count 100 transition count 298
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 12 place count 99 transition count 297
Iterating global reduction 0 with 1 rules applied. Total rules applied 13 place count 99 transition count 297
Drop transitions removed 16 transitions
Redundant transition composition rules discarded 16 transitions
Iterating global reduction 0 with 16 rules applied. Total rules applied 29 place count 99 transition count 281
Drop transitions removed 4 transitions
Trivial Post-agglo rules discarded 4 transitions
Performed 4 trivial Post agglomeration. Transition count delta: 4
Iterating post reduction 0 with 4 rules applied. Total rules applied 33 place count 99 transition count 277
Reduce places removed 4 places and 0 transitions.
Iterating post reduction 1 with 4 rules applied. Total rules applied 37 place count 95 transition count 277
Performed 4 Post agglomeration using F-continuation condition.Transition count delta: 4
Deduced a syphon composed of 4 places in 1 ms
Reduce places removed 4 places and 0 transitions.
Iterating global reduction 2 with 8 rules applied. Total rules applied 45 place count 91 transition count 273
Applied a total of 45 rules in 47 ms. Remains 91 /133 variables (removed 42) and now considering 273/385 (removed 112) transitions.
Finished structural reductions in SI_CTL mode , in 1 iterations and 47 ms. Remains : 91/133 places, 273/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 11 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 12 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 273 transitions.
Starting structural reductions in LTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Discarding 2 places :
Symmetric choice reduction at 0 with 2 rule applications. Total rules 2 place count 131 transition count 383
Iterating global reduction 0 with 2 rules applied. Total rules applied 4 place count 131 transition count 383
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 5 place count 130 transition count 382
Iterating global reduction 0 with 1 rules applied. Total rules applied 6 place count 130 transition count 382
Applied a total of 6 rules in 6 ms. Remains 130 /133 variables (removed 3) and now considering 382/385 (removed 3) transitions.
Finished structural reductions in LTL mode , in 1 iterations and 6 ms. Remains : 130/133 places, 382/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 14 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 15 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 382 transitions.
Starting structural reductions in SI_CTL mode, iteration 0 : 133/133 places, 385/385 transitions.
Graph (trivial) has 155 edges and 133 vertex of which 36 / 133 are part of one of the 11 SCC in 0 ms
Free SCC test removed 25 places
Ensure Unique test removed 62 transitions
Reduce isomorphic transitions removed 62 transitions.
Reduce places removed 1 places and 1 transitions.
Discarding 5 places :
Symmetric choice reduction at 0 with 5 rule applications. Total rules 6 place count 102 transition count 302
Iterating global reduction 0 with 5 rules applied. Total rules applied 11 place count 102 transition count 302
Discarding 1 places :
Symmetric choice reduction at 0 with 1 rule applications. Total rules 12 place count 101 transition count 301
Iterating global reduction 0 with 1 rules applied. Total rules applied 13 place count 101 transition count 301
Drop transitions removed 17 transitions
Redundant transition composition rules discarded 17 transitions
Iterating global reduction 0 with 17 rules applied. Total rules applied 30 place count 101 transition count 284
Drop transitions removed 4 transitions
Trivial Post-agglo rules discarded 4 transitions
Performed 4 trivial Post agglomeration. Transition count delta: 4
Iterating post reduction 0 with 4 rules applied. Total rules applied 34 place count 101 transition count 280
Reduce places removed 4 places and 0 transitions.
Iterating post reduction 1 with 4 rules applied. Total rules applied 38 place count 97 transition count 280
Performed 5 Post agglomeration using F-continuation condition.Transition count delta: 5
Deduced a syphon composed of 5 places in 1 ms
Reduce places removed 5 places and 0 transitions.
Iterating global reduction 2 with 10 rules applied. Total rules applied 48 place count 92 transition count 275
Applied a total of 48 rules in 42 ms. Remains 92 /133 variables (removed 41) and now considering 275/385 (removed 110) transitions.
Finished structural reductions in SI_CTL mode , in 1 iterations and 43 ms. Remains : 92/133 places, 275/385 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 10 ms
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 11 ms
[2023-03-10 22:16:00] [INFO ] Input system was already deterministic with 275 transitions.
[2023-03-10 22:16:00] [INFO ] Flatten gal took : 15 ms
[2023-03-10 22:16:01] [INFO ] Flatten gal took : 15 ms
[2023-03-10 22:16:01] [INFO ] Export to MCC of 12 properties in file /home/mcc/execution/CTLCardinality.sr.xml took 3 ms.
[2023-03-10 22:16:01] [INFO ] Export to PNML in file /home/mcc/execution/model.sr.pnml of net with 133 places, 385 transitions and 2313 arcs took 4 ms.
Total runtime 8608 ms.
There are residual formulas that ITS could not solve within timeout
timeout --kill-after=10s --signal=SIGINT 1m for testing only
Marcie built on Linux at 2019-11-18.
A model checker for Generalized Stochastic Petri nets
authors: Alex Tovchigrechko (IDD package and CTL model checking)
Martin Schwarick (Symbolic numerical analysis and CSL model checking)
Christian Rohr (Simulative and approximative numerical model checking)
marcie@informatik.tu-cottbus.de
called as: /home/mcc/BenchKit/bin//../reducer/bin//../../marcie/bin/marcie --net-file=model.pnml --mcc-file=CTLCardinality.xml --memory=6 --mcc-mode
parse successfull
net created successfully
Net: Petri
(NrP: 133 NrTr: 385 NrArc: 2313)
parse formulas
formulas created successfully
place and transition orderings generation:0m 0.013sec
net check time: 0m 0.000sec
init dd package: 0m 3.543sec
RS generation: 0m 1.254sec
-> reachability set: #nodes 1174 (1.2e+03) #states 7,091,029 (6)
starting MCC model checker
--------------------------
checking: AF [[p68<=1 & 1<=p68]]
normalized: ~ [EG [~ [[p68<=1 & 1<=p68]]]]
abstracting: (1<=p68)
states: 290,584 (5)
abstracting: (p68<=1)
states: 7,091,029 (6)
.
EG iterations: 1
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-10 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.244sec
checking: AG [AF [[p70<=0 & 0<=p70]]]
normalized: ~ [E [true U EG [~ [[p70<=0 & 0<=p70]]]]]
abstracting: (0<=p70)
states: 7,091,029 (6)
abstracting: (p70<=0)
states: 6,800,445 (6)
.
EG iterations: 1
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-15 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.631sec
checking: E [EG [EF [EX [[p49<=0 & 0<=p49]]]] U [p52<=1 & 1<=p52]]
normalized: E [EG [E [true U EX [[p49<=0 & 0<=p49]]]] U [p52<=1 & 1<=p52]]
abstracting: (1<=p52)
states: 290,580 (5)
abstracting: (p52<=1)
states: 7,091,029 (6)
abstracting: (0<=p49)
states: 7,091,029 (6)
abstracting: (p49<=0)
states: 6,800,445 (6)
......
EG iterations: 5
-> the formula is TRUE
FORMULA CloudDeployment-PT-4a-CTLCardinality-03 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.698sec
checking: AF [AX [[[p86<=0 & 0<=p86] & [p128<=1 & 1<=p128]]]]
normalized: ~ [EG [EX [~ [[[p86<=0 & 0<=p86] & [p128<=1 & 1<=p128]]]]]]
abstracting: (1<=p128)
states: 994,950 (5)
abstracting: (p128<=1)
states: 7,091,029 (6)
abstracting: (0<=p86)
states: 7,091,029 (6)
abstracting: (p86<=0)
states: 6,800,445 (6)
......
EG iterations: 5
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-07 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.108sec
checking: EG [[[p125<=0 & 0<=p125] | [[p53<=1 & 1<=p53] | [[p96<=1 & 1<=p96] & EX [[p4<=1 & 1<=p4]]]]]]
normalized: EG [[[[p53<=1 & 1<=p53] | [EX [[p4<=1 & 1<=p4]] & [p96<=1 & 1<=p96]]] | [p125<=0 & 0<=p125]]]
abstracting: (0<=p125)
states: 7,091,029 (6)
abstracting: (p125<=0)
states: 6,966,997 (6)
abstracting: (1<=p96)
states: 290,584 (5)
abstracting: (p96<=1)
states: 7,091,029 (6)
abstracting: (1<=p4)
states: 290,584 (5)
abstracting: (p4<=1)
states: 7,091,029 (6)
.abstracting: (1<=p53)
states: 407,545 (5)
abstracting: (p53<=1)
states: 7,091,029 (6)
.
EG iterations: 1
-> the formula is TRUE
FORMULA CloudDeployment-PT-4a-CTLCardinality-04 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.100sec
checking: EF [EX [[~ [A [[[p70<=0 & 0<=p70] | [p18<=1 & 1<=p18]] U [p117<=0 & 0<=p117]]] | [~ [[p57<=1 & 1<=p57]] & ~ [[p96<=0 & 0<=p96]]]]]]
normalized: E [true U EX [[[~ [[p96<=0 & 0<=p96]] & ~ [[p57<=1 & 1<=p57]]] | ~ [[~ [EG [~ [[p117<=0 & 0<=p117]]]] & ~ [E [~ [[p117<=0 & 0<=p117]] U [~ [[[p18<=1 & 1<=p18] | [p70<=0 & 0<=p70]]] & ~ [[p117<=0 & 0<=p117]]]]]]]]]]
abstracting: (0<=p117)
states: 7,091,029 (6)
abstracting: (p117<=0)
states: 6,759,254 (6)
abstracting: (0<=p70)
states: 7,091,029 (6)
abstracting: (p70<=0)
states: 6,800,445 (6)
abstracting: (1<=p18)
states: 290,584 (5)
abstracting: (p18<=1)
states: 7,091,029 (6)
abstracting: (0<=p117)
states: 7,091,029 (6)
abstracting: (p117<=0)
states: 6,759,254 (6)
abstracting: (0<=p117)
states: 7,091,029 (6)
abstracting: (p117<=0)
states: 6,759,254 (6)
.
EG iterations: 1
abstracting: (1<=p57)
states: 290,584 (5)
abstracting: (p57<=1)
states: 7,091,029 (6)
abstracting: (0<=p96)
states: 7,091,029 (6)
abstracting: (p96<=0)
states: 6,800,445 (6)
.-> the formula is TRUE
FORMULA CloudDeployment-PT-4a-CTLCardinality-09 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.461sec
checking: A [EF [AX [[p6<=0 & 0<=p6]]] U A [~ [[p124<=0 & 0<=p124]] U [~ [[[p44<=0 & 0<=p44] | [p11<=1 & 1<=p11]]] & [[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]]]]]
normalized: [~ [EG [~ [[~ [E [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]] U [[p124<=0 & 0<=p124] & ~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]] & ~ [EG [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]]]]] & ~ [E [~ [[~ [E [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]] U [[p124<=0 & 0<=p124] & ~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]] & ~ [EG [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]]] U [~ [[~ [E [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]] U [[p124<=0 & 0<=p124] & ~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]] & ~ [EG [~ [[[[[p123<=0 & 0<=p123] | [p47<=1 & 1<=p47]] & [[p109<=0 & 0<=p109] | [p78<=1 & 1<=p78]]] & ~ [[[p11<=1 & 1<=p11] | [p44<=0 & 0<=p44]]]]]]]]] & ~ [E [true U ~ [EX [~ [[p6<=0 & 0<=p6]]]]]]]]]]
abstracting: (0<=p6)
states: 7,091,029 (6)
abstracting: (p6<=0)
states: 6,800,445 (6)
.abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
.
EG iterations: 1
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
abstracting: (0<=p124)
states: 7,091,029 (6)
abstracting: (p124<=0)
states: 6,096,079 (6)
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
.
EG iterations: 1
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
abstracting: (0<=p124)
states: 7,091,029 (6)
abstracting: (p124<=0)
states: 6,096,079 (6)
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
.
EG iterations: 1
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
abstracting: (0<=p124)
states: 7,091,029 (6)
abstracting: (p124<=0)
states: 6,096,079 (6)
abstracting: (0<=p44)
states: 7,091,029 (6)
abstracting: (p44<=0)
states: 6,800,445 (6)
abstracting: (1<=p11)
states: 290,584 (5)
abstracting: (p11<=1)
states: 7,091,029 (6)
abstracting: (1<=p78)
states: 290,580 (5)
abstracting: (p78<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
abstracting: (0<=p123)
states: 7,091,029 (6)
abstracting: (p123<=0)
states: 6,966,997 (6)
.
EG iterations: 1
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-05 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.419sec
checking: AX [[EX [[[[[p124<=0 & 0<=p124] & [p125<=1 & 1<=p125]] & [[p79<=0 & 0<=p79] & [[p49<=1 & 1<=p49] & [p11<=0 & 0<=p11]]]] | [AG [[p93<=1 & 1<=p93]] & [p9<=1 & 1<=p9]]]] | AF [AG [[[p84<=0 & 0<=p84] | [p22<=1 & 1<=p22]]]]]]
normalized: ~ [EX [~ [[~ [EG [E [true U ~ [[[p22<=1 & 1<=p22] | [p84<=0 & 0<=p84]]]]]] | EX [[[[p9<=1 & 1<=p9] & ~ [E [true U ~ [[p93<=1 & 1<=p93]]]]] | [[[[p11<=0 & 0<=p11] & [p49<=1 & 1<=p49]] & [p79<=0 & 0<=p79]] & [[p125<=1 & 1<=p125] & [p124<=0 & 0<=p124]]]]]]]]]
abstracting: (0<=p124)
states: 7,091,029 (6)
abstracting: (p124<=0)
states: 6,096,079 (6)
abstracting: (1<=p125)
states: 124,032 (5)
abstracting: (p125<=1)
states: 7,091,029 (6)
abstracting: (0<=p79)
states: 7,091,029 (6)
abstracting: (p79<=0)
states: 6,683,484 (6)
abstracting: (1<=p49)
states: 290,584 (5)
abstracting: (p49<=1)
states: 7,091,029 (6)
abstracting: (0<=p11)
states: 7,091,029 (6)
abstracting: (p11<=0)
states: 6,800,445 (6)
abstracting: (1<=p93)
states: 290,611 (5)
abstracting: (p93<=1)
states: 7,091,029 (6)
abstracting: (1<=p9)
states: 290,584 (5)
abstracting: (p9<=1)
states: 7,091,029 (6)
.abstracting: (0<=p84)
states: 7,091,029 (6)
abstracting: (p84<=0)
states: 6,800,445 (6)
abstracting: (1<=p22)
states: 290,584 (5)
abstracting: (p22<=1)
states: 7,091,029 (6)
.
EG iterations: 1
.-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-06 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.215sec
checking: EG [[[[A [EX [[p20<=1 & 1<=p20]] U ~ [[[p51<=0 & 0<=p51] | [p85<=1 & 1<=p85]]]] & AF [[[p58<=0 & 0<=p58] & [p44<=1 & 1<=p44]]]] | ~ [A [[p2<=0 & 0<=p2] U ~ [[[[p72<=0 & 0<=p72] & [p88<=1 & 1<=p88]] | EF [[[p8<=0 & 0<=p8] | [p102<=1 & 1<=p102]]]]]]]] | [p28<=1 & 1<=p28]]]
normalized: EG [[[p28<=1 & 1<=p28] | [~ [[~ [EG [[E [true U [[p102<=1 & 1<=p102] | [p8<=0 & 0<=p8]]] | [[p88<=1 & 1<=p88] & [p72<=0 & 0<=p72]]]]] & ~ [E [[E [true U [[p102<=1 & 1<=p102] | [p8<=0 & 0<=p8]]] | [[p88<=1 & 1<=p88] & [p72<=0 & 0<=p72]]] U [~ [[p2<=0 & 0<=p2]] & [E [true U [[p102<=1 & 1<=p102] | [p8<=0 & 0<=p8]]] | [[p88<=1 & 1<=p88] & [p72<=0 & 0<=p72]]]]]]]] | [~ [EG [~ [[[p44<=1 & 1<=p44] & [p58<=0 & 0<=p58]]]]] & [~ [EG [[[p85<=1 & 1<=p85] | [p51<=0 & 0<=p51]]]] & ~ [E [[[p85<=1 & 1<=p85] | [p51<=0 & 0<=p51]] U [~ [EX [[p20<=1 & 1<=p20]]] & [[p85<=1 & 1<=p85] | [p51<=0 & 0<=p51]]]]]]]]]]
abstracting: (0<=p51)
states: 7,091,029 (6)
abstracting: (p51<=0)
states: 6,800,445 (6)
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (1<=p20)
states: 290,584 (5)
abstracting: (p20<=1)
states: 7,091,029 (6)
.abstracting: (0<=p51)
states: 7,091,029 (6)
abstracting: (p51<=0)
states: 6,800,445 (6)
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p51)
states: 7,091,029 (6)
abstracting: (p51<=0)
states: 6,800,445 (6)
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p58)
states: 7,091,029 (6)
abstracting: (p58<=0)
states: 6,800,445 (6)
abstracting: (1<=p44)
states: 290,584 (5)
abstracting: (p44<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p72)
states: 7,091,029 (6)
abstracting: (p72<=0)
states: 6,800,445 (6)
abstracting: (1<=p88)
states: 290,584 (5)
abstracting: (p88<=1)
states: 7,091,029 (6)
abstracting: (0<=p8)
states: 7,091,029 (6)
abstracting: (p8<=0)
states: 6,800,445 (6)
abstracting: (1<=p102)
states: 290,584 (5)
abstracting: (p102<=1)
states: 7,091,029 (6)
abstracting: (0<=p2)
states: 7,091,029 (6)
abstracting: (p2<=0)
states: 83
abstracting: (0<=p72)
states: 7,091,029 (6)
abstracting: (p72<=0)
states: 6,800,445 (6)
abstracting: (1<=p88)
states: 290,584 (5)
abstracting: (p88<=1)
states: 7,091,029 (6)
abstracting: (0<=p8)
states: 7,091,029 (6)
abstracting: (p8<=0)
states: 6,800,445 (6)
abstracting: (1<=p102)
states: 290,584 (5)
abstracting: (p102<=1)
states: 7,091,029 (6)
abstracting: (0<=p72)
states: 7,091,029 (6)
abstracting: (p72<=0)
states: 6,800,445 (6)
abstracting: (1<=p88)
states: 290,584 (5)
abstracting: (p88<=1)
states: 7,091,029 (6)
abstracting: (0<=p8)
states: 7,091,029 (6)
abstracting: (p8<=0)
states: 6,800,445 (6)
abstracting: (1<=p102)
states: 290,584 (5)
abstracting: (p102<=1)
states: 7,091,029 (6)
EG iterations: 0
abstracting: (1<=p28)
states: 7,090,946 (6)
abstracting: (p28<=1)
states: 7,091,029 (6)
EG iterations: 0
-> the formula is TRUE
FORMULA CloudDeployment-PT-4a-CTLCardinality-02 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 0.196sec
checking: A [[EG [[AG [[p105<=1 & 1<=p105]] | AX [[[p85<=0 & 0<=p85] & [p15<=0 & 0<=p15]]]]] | EX [[p38<=1 & 1<=p38]]] U A [~ [[~ [EF [[p108<=1 & 1<=p108]]] | ~ [[p81<=1 & 1<=p81]]]] U ~ [[~ [[A [[p103<=1 & 1<=p103] U [p97<=1 & 1<=p97]] | [p85<=1 & 1<=p85]]] & E [[[p109<=0 & 0<=p109] | [p51<=1 & 1<=p51]] U [[p89<=0 & 0<=p89] | [p38<=1 & 1<=p38]]]]]]]
normalized: [~ [EG [~ [[~ [EG [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]] & ~ [E [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]] U [[~ [[p81<=1 & 1<=p81]] | ~ [E [true U [p108<=1 & 1<=p108]]]] & [E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]]]]]]] & ~ [E [~ [[~ [EG [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]] & ~ [E [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]] U [[~ [[p81<=1 & 1<=p81]] | ~ [E [true U [p108<=1 & 1<=p108]]]] & [E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]]]]] U [~ [[EX [[p38<=1 & 1<=p38]] | EG [[~ [EX [~ [[[p15<=0 & 0<=p15] & [p85<=0 & 0<=p85]]]]] | ~ [E [true U ~ [[p105<=1 & 1<=p105]]]]]]]] & ~ [[~ [EG [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]] & ~ [E [[E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]] U [[~ [[p81<=1 & 1<=p81]] | ~ [E [true U [p108<=1 & 1<=p108]]]] & [E [[[p51<=1 & 1<=p51] | [p109<=0 & 0<=p109]] U [[p38<=1 & 1<=p38] | [p89<=0 & 0<=p89]]] & ~ [[[p85<=1 & 1<=p85] | [~ [EG [~ [[p97<=1 & 1<=p97]]]] & ~ [E [~ [[p97<=1 & 1<=p97]] U [~ [[p103<=1 & 1<=p103]] & ~ [[p97<=1 & 1<=p97]]]]]]]]]]]]]]]]]]
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p108)
states: 331,776 (5)
abstracting: (p108<=1)
states: 7,091,029 (6)
abstracting: (1<=p81)
states: 7,090,946 (6)
abstracting: (p81<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p105)
states: 407,545 (5)
abstracting: (p105<=1)
states: 7,091,029 (6)
abstracting: (0<=p85)
states: 7,091,029 (6)
abstracting: (p85<=0)
states: 6,800,445 (6)
abstracting: (0<=p15)
states: 7,091,029 (6)
abstracting: (p15<=0)
states: 6,800,445 (6)
..
EG iterations: 1
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
.abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p108)
states: 331,776 (5)
abstracting: (p108<=1)
states: 7,091,029 (6)
abstracting: (1<=p81)
states: 7,090,946 (6)
abstracting: (p81<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p108)
states: 331,776 (5)
abstracting: (p108<=1)
states: 7,091,029 (6)
abstracting: (1<=p81)
states: 7,090,946 (6)
abstracting: (p81<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p103)
states: 290,584 (5)
abstracting: (p103<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
abstracting: (1<=p97)
states: 290,584 (5)
abstracting: (p97<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p85)
states: 290,584 (5)
abstracting: (p85<=1)
states: 7,091,029 (6)
abstracting: (0<=p89)
states: 7,091,029 (6)
abstracting: (p89<=0)
states: 6,800,445 (6)
abstracting: (1<=p38)
states: 290,584 (5)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (0<=p109)
states: 7,091,029 (6)
abstracting: (p109<=0)
states: 6,759,254 (6)
abstracting: (1<=p51)
states: 290,584 (5)
abstracting: (p51<=1)
states: 7,091,029 (6)
.
EG iterations: 1
.
EG iterations: 1
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-08 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 2.033sec
checking: A [[EF [[[p24<=1 & 1<=p24] & ~ [[[[1<=p108 & p108<=1] | [0<=p130 & p130<=0]] | [[0<=p52 & p52<=0] | [0<=p96 & p96<=0]]]]]] | EX [~ [[1<=p38 & p38<=1]]]] U A [[AX [[[[[1<=p42 & p42<=1] | [p122<=1 & 1<=p122]] | [0<=p82 & p82<=0]] & [[p112<=1 & 1<=p112] & [p99<=0 & 0<=p99]]]] | [1<=p31 & p31<=1]] U EX [[EG [[p47<=1 & 1<=p47]] & [[p94<=0 & 0<=p94] | [p110<=1 & 1<=p110]]]]]]
normalized: [~ [EG [~ [[~ [EG [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]] & ~ [E [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]] U [~ [[[1<=p31 & p31<=1] | ~ [EX [~ [[[[p99<=0 & 0<=p99] & [p112<=1 & 1<=p112]] & [[0<=p82 & p82<=0] | [[p122<=1 & 1<=p122] | [1<=p42 & p42<=1]]]]]]]]] & ~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]]]]]]] & ~ [E [~ [[~ [EG [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]] & ~ [E [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]] U [~ [[[1<=p31 & p31<=1] | ~ [EX [~ [[[[p99<=0 & 0<=p99] & [p112<=1 & 1<=p112]] & [[0<=p82 & p82<=0] | [[p122<=1 & 1<=p122] | [1<=p42 & p42<=1]]]]]]]]] & ~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]]]]] U [~ [[EX [~ [[1<=p38 & p38<=1]]] | E [true U [~ [[[[0<=p96 & p96<=0] | [0<=p52 & p52<=0]] | [[0<=p130 & p130<=0] | [1<=p108 & p108<=1]]]] & [p24<=1 & 1<=p24]]]]] & ~ [[~ [EG [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]] & ~ [E [~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]] U [~ [[[1<=p31 & p31<=1] | ~ [EX [~ [[[[p99<=0 & 0<=p99] & [p112<=1 & 1<=p112]] & [[0<=p82 & p82<=0] | [[p122<=1 & 1<=p122] | [1<=p42 & p42<=1]]]]]]]]] & ~ [EX [[[[p110<=1 & 1<=p110] | [p94<=0 & 0<=p94]] & EG [[p47<=1 & 1<=p47]]]]]]]]]]]]]]
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (p42<=1)
states: 7,091,029 (6)
abstracting: (1<=p42)
states: 290,584 (5)
abstracting: (1<=p122)
states: 663,552 (5)
abstracting: (p122<=1)
states: 7,091,029 (6)
abstracting: (p82<=0)
states: 6,800,418 (6)
abstracting: (0<=p82)
states: 7,091,029 (6)
abstracting: (1<=p112)
states: 331,776 (5)
abstracting: (p112<=1)
states: 7,091,029 (6)
abstracting: (0<=p99)
states: 7,091,029 (6)
abstracting: (p99<=0)
states: 6,800,445 (6)
.abstracting: (p31<=1)
states: 7,091,029 (6)
abstracting: (1<=p31)
states: 290,584 (5)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
..
EG iterations: 1
abstracting: (1<=p24)
states: 290,584 (5)
abstracting: (p24<=1)
states: 7,091,029 (6)
abstracting: (p108<=1)
states: 7,091,029 (6)
abstracting: (1<=p108)
states: 331,776 (5)
abstracting: (p130<=0)
states: 6,096,079 (6)
abstracting: (0<=p130)
states: 7,091,029 (6)
abstracting: (p52<=0)
states: 6,800,449 (6)
abstracting: (0<=p52)
states: 7,091,029 (6)
abstracting: (p96<=0)
states: 6,800,445 (6)
abstracting: (0<=p96)
states: 7,091,029 (6)
abstracting: (p38<=1)
states: 7,091,029 (6)
abstracting: (1<=p38)
states: 290,584 (5)
.abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (p42<=1)
states: 7,091,029 (6)
abstracting: (1<=p42)
states: 290,584 (5)
abstracting: (1<=p122)
states: 663,552 (5)
abstracting: (p122<=1)
states: 7,091,029 (6)
abstracting: (p82<=0)
states: 6,800,418 (6)
abstracting: (0<=p82)
states: 7,091,029 (6)
abstracting: (1<=p112)
states: 331,776 (5)
abstracting: (p112<=1)
states: 7,091,029 (6)
abstracting: (0<=p99)
states: 7,091,029 (6)
abstracting: (p99<=0)
states: 6,800,445 (6)
.abstracting: (p31<=1)
states: 7,091,029 (6)
abstracting: (1<=p31)
states: 290,584 (5)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
..
EG iterations: 1
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (p42<=1)
states: 7,091,029 (6)
abstracting: (1<=p42)
states: 290,584 (5)
abstracting: (1<=p122)
states: 663,552 (5)
abstracting: (p122<=1)
states: 7,091,029 (6)
abstracting: (p82<=0)
states: 6,800,418 (6)
abstracting: (0<=p82)
states: 7,091,029 (6)
abstracting: (1<=p112)
states: 331,776 (5)
abstracting: (p112<=1)
states: 7,091,029 (6)
abstracting: (0<=p99)
states: 7,091,029 (6)
abstracting: (p99<=0)
states: 6,800,445 (6)
.abstracting: (p31<=1)
states: 7,091,029 (6)
abstracting: (1<=p31)
states: 290,584 (5)
abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
.abstracting: (1<=p47)
states: 290,584 (5)
abstracting: (p47<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (0<=p94)
states: 7,091,029 (6)
abstracting: (p94<=0)
states: 6,800,445 (6)
abstracting: (1<=p110)
states: 331,776 (5)
abstracting: (p110<=1)
states: 7,091,029 (6)
..
EG iterations: 1
.
EG iterations: 1
-> the formula is FALSE
FORMULA CloudDeployment-PT-4a-CTLCardinality-01 FALSE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 1.345sec
checking: E [~ [[[~ [AF [[[p128<=0 & 0<=p128] | [p27<=1 & 1<=p27]]]] | ~ [E [[[p26<=0 & 0<=p26] | [p0<=1 & 1<=p0]] U [p74<=0 & 0<=p74]]]] & [EG [[[p96<=0 & 0<=p96] | [p95<=1 & 1<=p95]]] | A [[[p22<=0 & 0<=p22] | [p18<=1 & 1<=p18]] U [[p21<=0 & 0<=p21] | [p0<=1 & 1<=p0]]]]]] U AX [E [EF [[[p83<=1 & 1<=p83] & [[p25<=0 & 0<=p25] | [p65<=1 & 1<=p65]]]] U AG [[[p16<=0 & 0<=p16] | [p15<=1 & 1<=p15]]]]]]
normalized: E [~ [[[EG [[[p96<=0 & 0<=p96] | [p95<=1 & 1<=p95]]] | [~ [E [~ [[[p21<=0 & 0<=p21] | [p0<=1 & 1<=p0]]] U [~ [[[p21<=0 & 0<=p21] | [p0<=1 & 1<=p0]]] & ~ [[[p22<=0 & 0<=p22] | [p18<=1 & 1<=p18]]]]]] & ~ [EG [~ [[[p21<=0 & 0<=p21] | [p0<=1 & 1<=p0]]]]]]] & [EG [~ [[[p27<=1 & 1<=p27] | [p128<=0 & 0<=p128]]]] | ~ [E [[[p26<=0 & 0<=p26] | [p0<=1 & 1<=p0]] U [p74<=0 & 0<=p74]]]]]] U ~ [EX [~ [E [E [true U [[p83<=1 & 1<=p83] & [[p65<=1 & 1<=p65] | [p25<=0 & 0<=p25]]]] U ~ [E [true U ~ [[[p16<=0 & 0<=p16] | [p15<=1 & 1<=p15]]]]]]]]]]
abstracting: (1<=p15)
states: 290,584 (5)
abstracting: (p15<=1)
states: 7,091,029 (6)
abstracting: (0<=p16)
states: 7,091,029 (6)
abstracting: (p16<=0)
states: 6,800,445 (6)
abstracting: (0<=p25)
states: 7,091,029 (6)
abstracting: (p25<=0)
states: 6,800,449 (6)
abstracting: (1<=p65)
states: 290,584 (5)
abstracting: (p65<=1)
states: 7,091,029 (6)
abstracting: (1<=p83)
states: 290,584 (5)
abstracting: (p83<=1)
states: 7,091,029 (6)
.abstracting: (0<=p74)
states: 7,091,029 (6)
abstracting: (p74<=0)
states: 6,800,445 (6)
abstracting: (1<=p0)
states: 1
abstracting: (p0<=1)
states: 7,091,029 (6)
abstracting: (0<=p26)
states: 7,091,029 (6)
abstracting: (p26<=0)
states: 6,683,484 (6)
abstracting: (0<=p128)
states: 7,091,029 (6)
abstracting: (p128<=0)
states: 6,096,079 (6)
abstracting: (1<=p27)
states: 81
abstracting: (p27<=1)
states: 7,091,029 (6)
.
EG iterations: 1
abstracting: (1<=p0)
states: 1
abstracting: (p0<=1)
states: 7,091,029 (6)
abstracting: (0<=p21)
states: 7,091,029 (6)
abstracting: (p21<=0)
states: 6,800,445 (6)
.
EG iterations: 1
abstracting: (1<=p18)
states: 290,584 (5)
abstracting: (p18<=1)
states: 7,091,029 (6)
abstracting: (0<=p22)
states: 7,091,029 (6)
abstracting: (p22<=0)
states: 6,800,445 (6)
abstracting: (1<=p0)
states: 1
abstracting: (p0<=1)
states: 7,091,029 (6)
abstracting: (0<=p21)
states: 7,091,029 (6)
abstracting: (p21<=0)
states: 6,800,445 (6)
abstracting: (1<=p0)
states: 1
abstracting: (p0<=1)
states: 7,091,029 (6)
abstracting: (0<=p21)
states: 7,091,029 (6)
abstracting: (p21<=0)
states: 6,800,445 (6)
abstracting: (1<=p95)
states: 290,584 (5)
abstracting: (p95<=1)
states: 7,091,029 (6)
abstracting: (0<=p96)
states: 7,091,029 (6)
abstracting: (p96<=0)
states: 6,800,445 (6)
.
EG iterations: 1
-> the formula is TRUE
FORMULA CloudDeployment-PT-4a-CTLCardinality-14 TRUE TECHNIQUES SEQUENTIAL_PROCESSING DECISION_DIAGRAMS UNFOLDING_TO_PT
MC time: 0m 1.761sec
totally nodes used: 1838358 (1.8e+06)
number of garbage collections: 0
fire ops cache: hits/miss/sum: 9798314 22665970 32464284
used/not used/entry size/cache size: 20409776 46699088 16 1024MB
basic ops cache: hits/miss/sum: 862120 1623658 2485778
used/not used/entry size/cache size: 2617479 14159737 12 192MB
unary ops cache: hits/miss/sum: 0 0 0
used/not used/entry size/cache size: 0 16777216 8 128MB
abstract ops cache: hits/miss/sum: 0 0 0
used/not used/entry size/cache size: 0 16777216 12 192MB
state nr cache: hits/miss/sum: 10461 22456 32917
used/not used/entry size/cache size: 22437 8366171 32 256MB
max state cache: hits/miss/sum: 0 0 0
used/not used/entry size/cache size: 0 8388608 32 256MB
uniqueHash elements/entry size/size: 67108864 4 256MB
0 65410907
1 1573166
2 110671
3 12754
4 1249
5 110
6 7
7 0
8 0
9 0
>= 10 0
Total processing time: 0m15.037sec
BK_STOP 1678486577153
--------------------
content from stderr:
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ export PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ export LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
+ LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
++ sed s/.jar//
++ perl -pe 's/.*\.//g'
++ ls /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202303021504.jar
+ VERSION=202303021504
+ echo 'Running Version 202303021504'
+ /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/its-tools -pnfolder /home/mcc/execution -examination CTLCardinality -timeout 360 -rebuildPNML
check for maximal unmarked siphon
ok
check for constant places
ok
check if there are places and transitions
ok
check if there are transitions without pre-places
ok
check if at least one transition is enabled in m0
ok
check if there are transitions that can never fire
ok
initing FirstDep: 0m 0.001sec
iterations count:51734 (134), effective:1473 (3)
initing FirstDep: 0m 0.001sec
iterations count:8634 (22), effective:213 (0)
iterations count:385 (1), effective:0 (0)
iterations count:9519 (24), effective:262 (0)
iterations count:700 (1), effective:11 (0)
iterations count:4876 (12), effective:167 (0)
iterations count:452 (1), effective:2 (0)
iterations count:1547 (4), effective:76 (0)
iterations count:1547 (4), effective:76 (0)
iterations count:1547 (4), effective:76 (0)
iterations count:482 (1), effective:2 (0)
iterations count:6000 (15), effective:111 (0)
iterations count:404 (1), effective:2 (0)
iterations count:388 (1), effective:1 (0)
iterations count:388 (1), effective:1 (0)
iterations count:621 (1), effective:1 (0)
iterations count:388 (1), effective:1 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:8033 (20), effective:231 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:2891 (7), effective:159 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:4952 (12), effective:87 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:8033 (20), effective:231 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:2891 (7), effective:159 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:11147 (28), effective:272 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:8033 (20), effective:231 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:2891 (7), effective:159 (0)
iterations count:422 (1), effective:1 (0)
iterations count:4630 (12), effective:116 (0)
iterations count:387 (1), effective:1 (0)
iterations count:4656 (12), effective:192 (0)
iterations count:387 (1), effective:1 (0)
iterations count:19662 (51), effective:602 (1)
iterations count:387 (1), effective:1 (0)
iterations count:9227 (23), effective:219 (0)
iterations count:5941 (15), effective:111 (0)
iterations count:12233 (31), effective:715 (1)
iterations count:436 (1), effective:1 (0)
iterations count:1437 (3), effective:39 (0)
Sequence of Actions to be Executed by the VM
This is useful if one wants to reexecute the tool in the VM from the submitted image disk.
set -x
# this is for BenchKit: configuration of major elements for the test
export BK_INPUT="CloudDeployment-PT-4a"
export BK_EXAMINATION="CTLCardinality"
export BK_TOOL="marciexred"
export BK_RESULT_DIR="/tmp/BK_RESULTS/OUTPUTS"
export BK_TIME_CONFINEMENT="3600"
export BK_MEMORY_CONFINEMENT="16384"
export BK_BIN_PATH="/home/mcc/BenchKit/bin/"
# this is specific to your benchmark or test
export BIN_DIR="$HOME/BenchKit/bin"
# remove the execution directoty if it exists (to avoid increse of .vmdk images)
if [ -d execution ] ; then
rm -rf execution
fi
# this is for BenchKit: explicit launching of the test
echo "====================================================================="
echo " Generated by BenchKit 2-5348"
echo " Executing tool marciexred"
echo " Input is CloudDeployment-PT-4a, examination is CTLCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r074-smll-167814400200393"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/CloudDeployment-PT-4a.tgz
mv CloudDeployment-PT-4a execution
cd execution
if [ "CTLCardinality" = "ReachabilityDeadlock" ] || [ "CTLCardinality" = "UpperBounds" ] || [ "CTLCardinality" = "QuasiLiveness" ] || [ "CTLCardinality" = "StableMarking" ] || [ "CTLCardinality" = "Liveness" ] || [ "CTLCardinality" = "OneSafe" ] || [ "CTLCardinality" = "StateSpace" ]; then
rm -f GenericPropertiesVerdict.xml
fi
pwd
ls -lh
echo
echo "--------------------"
echo "content from stdout:"
echo
echo "=== Data for post analysis generated by BenchKit (invocation template)"
echo
if [ "CTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "CTLCardinality" != "StateSpace" ] ; then
echo "The expected result is a vector of booleans"
echo BOOL_VECTOR
else
echo "no data necessary for post analysis"
fi
echo
if [ -f "CTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property CTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "CTLCardinality.xml" ] ; then # for cunf (txt files deleted;-)
echo echo "here is the order used to build the result vector(from xml file)"
for x in $(grep '
echo "FORMULA_NAME $x"
done
elif [ "CTLCardinality" = "ReachabilityDeadlock" ] || [ "CTLCardinality" = "QuasiLiveness" ] || [ "CTLCardinality" = "StableMarking" ] || [ "CTLCardinality" = "Liveness" ] || [ "CTLCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME CTLCardinality"
fi
echo
echo "=== Now, execution of the tool begins"
echo
echo -n "BK_START "
date -u +%s%3N
echo
timeout -s 9 $BK_TIME_CONFINEMENT bash -c "/home/mcc/BenchKit/BenchKit_head.sh 2> STDERR ; echo ; echo -n \"BK_STOP \" ; date -u +%s%3N"
if [ $? -eq 137 ] ; then
echo
echo "BK_TIME_CONFINEMENT_REACHED"
fi
echo
echo "--------------------"
echo "content from stderr:"
echo
cat STDERR ;