About the Execution of ITS-Tools for ClientsAndServers-PT-N0005P0
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
364.855 | 22929.00 | 35810.00 | 629.80 | FFFFFTTFTFFFFTFF | 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.r069-smll-167814396100227.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 itstools
Input is ClientsAndServers-PT-N0005P0, examination is LTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r069-smll-167814396100227
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 532K
-rw-r--r-- 1 mcc users 7.4K Feb 26 13:27 CTLCardinality.txt
-rw-r--r-- 1 mcc users 82K Feb 26 13:27 CTLCardinality.xml
-rw-r--r-- 1 mcc users 5.9K Feb 26 13:26 CTLFireability.txt
-rw-r--r-- 1 mcc users 56K Feb 26 13:26 CTLFireability.xml
-rw-r--r-- 1 mcc users 4.2K Jan 29 11:40 GenericPropertiesDefinition.xml
-rw-r--r-- 1 mcc users 6.6K Jan 29 11:40 GenericPropertiesVerdict.xml
-rw-r--r-- 1 mcc users 3.8K Feb 25 15:43 LTLCardinality.txt
-rw-r--r-- 1 mcc users 26K Feb 25 15:43 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.4K Feb 25 15:43 LTLFireability.txt
-rw-r--r-- 1 mcc users 19K Feb 25 15:43 LTLFireability.xml
-rw-r--r-- 1 mcc users 14K Feb 26 13:28 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 158K Feb 26 13:28 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 9.3K Feb 26 13:27 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 84K Feb 26 13:27 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.8K Feb 25 15:43 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.8K Feb 25 15:43 UpperBounds.xml
-rw-r--r-- 1 mcc users 6 Mar 5 18:22 equiv_col
-rw-r--r-- 1 mcc users 8 Mar 5 18:22 instance
-rw-r--r-- 1 mcc users 6 Mar 5 18:22 iscolored
-rw-r--r-- 1 mcc users 9.1K 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 ClientsAndServers-PT-N0005P0-LTLCardinality-00
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-01
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-02
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-03
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-04
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-05
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-06
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-07
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-08
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-09
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-10
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-11
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-12
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-13
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-14
FORMULA_NAME ClientsAndServers-PT-N0005P0-LTLCardinality-15
=== Now, execution of the tool begins
BK_START 1678321661826
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=itstools
BK_EXAMINATION=LTLCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=ClientsAndServers-PT-N0005P0
Not applying reductions.
Model is PT
LTLCardinality PT
Running Version 202303021504
[2023-03-09 00:27:44] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLCardinality, -its, -ltsmin, -greatspnpath, /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/, -order, META, -manyOrder, -smt, -timeout, 3600]
[2023-03-09 00:27:44] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2023-03-09 00:27:45] [INFO ] Load time of PNML (sax parser for PT used): 140 ms
[2023-03-09 00:27:45] [INFO ] Transformed 25 places.
[2023-03-09 00:27:45] [INFO ] Transformed 18 transitions.
[2023-03-09 00:27:45] [INFO ] Parsed PT model containing 25 places and 18 transitions and 54 arcs in 279 ms.
Parsed 16 properties from file /home/mcc/execution/LTLCardinality.xml in 20 ms.
Working with output stream class java.io.PrintStream
Initial state reduction rules removed 3 formulas.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-06 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-07 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-15 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Support contains 19 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Applied a total of 0 rules in 25 ms. Remains 25 /25 variables (removed 0) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 25 cols
[2023-03-09 00:27:45] [INFO ] Computed 8 place invariants in 9 ms
[2023-03-09 00:27:45] [INFO ] Implicit Places using invariants in 230 ms returned []
[2023-03-09 00:27:45] [INFO ] Invariant cache hit.
[2023-03-09 00:27:45] [INFO ] Implicit Places using invariants and state equation in 92 ms returned []
Implicit Place search using SMT with State Equation took 381 ms to find 0 implicit places.
[2023-03-09 00:27:45] [INFO ] Invariant cache hit.
[2023-03-09 00:27:45] [INFO ] Dead Transitions using invariants and state equation in 61 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 469 ms. Remains : 25/25 places, 18/18 transitions.
Support contains 19 out of 25 places after structural reductions.
[2023-03-09 00:27:46] [INFO ] Flatten gal took : 44 ms
[2023-03-09 00:27:46] [INFO ] Flatten gal took : 14 ms
[2023-03-09 00:27:46] [INFO ] Input system was already deterministic with 18 transitions.
Incomplete random walk after 10003 steps, including 17 resets, run finished after 247 ms. (steps per millisecond=40 ) properties (out of 27) seen :24
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 130 ms. (steps per millisecond=76 ) properties (out of 3) seen :1
Incomplete Best-First random walk after 10001 steps, including 6 resets, run finished after 68 ms. (steps per millisecond=147 ) properties (out of 2) seen :0
Running SMT prover for 2 properties.
[2023-03-09 00:27:46] [INFO ] Invariant cache hit.
[2023-03-09 00:27:46] [INFO ] After 64ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:2
[2023-03-09 00:27:46] [INFO ] [Nat]Absence check using 5 positive place invariants in 5 ms returned sat
[2023-03-09 00:27:46] [INFO ] [Nat]Absence check using 5 positive and 3 generalized place invariants in 2 ms returned sat
[2023-03-09 00:27:46] [INFO ] After 66ms SMT Verify possible using all constraints in natural domain returned unsat :2 sat :0
Fused 2 Parikh solutions to 0 different solutions.
Parikh walk visited 0 properties in 1 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-02 FALSE TECHNIQUES REACHABILITY_KNOWLEDGE
Successfully simplified 2 atomic propositions for a total of 12 simplifications.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-01 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
Computed a total of 0 stabilizing places and 0 stable transitions
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X((p0&&(p1||X((p2||(G(p0) U (p1&&G(p0)))))))))'
Support contains 5 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 3 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-09 00:27:47] [INFO ] Computed 5 place invariants in 3 ms
[2023-03-09 00:27:47] [INFO ] Implicit Places using invariants in 52 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 55 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 59 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 548 ms :[(NOT p0), (OR (NOT p0) (AND (NOT p1) (NOT p2))), (OR (AND (NOT p0) (NOT p2)) (AND (NOT p1) (NOT p2))), (OR (NOT p0) (NOT p1)), true, (OR (NOT p0) (AND (NOT p1) (NOT p2)))]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-00 automaton TGBA Formula[mat=[[{ cond=p0, acceptance={} source=0 dest: 0}, { cond=(NOT p0), acceptance={} source=0 dest: 4}], [{ cond=(AND p0 (NOT p1)), acceptance={} source=1 dest: 2}, { cond=(NOT p0), acceptance={} source=1 dest: 4}], [{ cond=(AND p0 p1 (NOT p2)), acceptance={} source=2 dest: 0}, { cond=(AND p0 (NOT p1) (NOT p2)), acceptance={} source=2 dest: 3}, { cond=(AND (NOT p0) (NOT p2)), acceptance={} source=2 dest: 4}], [{ cond=(AND p0 p1), acceptance={0} source=3 dest: 0}, { cond=(AND p0 (NOT p1)), acceptance={0} source=3 dest: 3}, { cond=(NOT p0), acceptance={0} source=3 dest: 4}], [{ cond=true, acceptance={0} source=4 dest: 4}], [{ cond=true, acceptance={} source=5 dest: 1}]], initial=5, aps=[p0:(LEQ s0 s8), p1:(LEQ 1 s19), p2:(LEQ s11 s14)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, very-weak, weak, inherently-weak], stateDesc=[null, null, null, null, null, null][false, false, false, false, false, false]]
Entered a terminal (fully accepting) state of product in 1 steps with 0 reset in 2 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-00 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-00 finished in 737 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((F((p0&&X(F((X(p0)&&G(p1))))))&&X(p1)))'
Support contains 2 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 2 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-09 00:27:48] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-09 00:27:48] [INFO ] Implicit Places using invariants in 59 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 60 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 64 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 337 ms :[(OR (NOT p1) (NOT p0)), (NOT p1), (OR (NOT p0) (NOT p1)), (OR (NOT p1) (NOT p0)), true, (NOT p0), (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-03 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}, { cond=(NOT p0), acceptance={} source=0 dest: 2}, { cond=p0, acceptance={} source=0 dest: 3}], [{ cond=(NOT p1), acceptance={} source=1 dest: 4}], [{ cond=(NOT p0), acceptance={0} source=2 dest: 2}, { cond=p0, acceptance={} source=2 dest: 3}], [{ cond=(NOT p1), acceptance={0} source=3 dest: 3}, { cond=p1, acceptance={0} source=3 dest: 5}, { cond=p1, acceptance={} source=3 dest: 6}], [{ cond=true, acceptance={0} source=4 dest: 4}], [{ cond=(AND (NOT p0) (NOT p1)), acceptance={0} source=5 dest: 3}, { cond=(AND (NOT p0) p1), acceptance={0} source=5 dest: 5}, { cond=(AND (NOT p0) p1), acceptance={} source=5 dest: 6}], [{ cond=(NOT p1), acceptance={0} source=6 dest: 3}, { cond=p1, acceptance={} source=6 dest: 6}]], initial=0, aps=[p0:(LEQ 3 s16), p1:(LEQ 3 s3)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive], stateDesc=[null, null, null, null, null, null, null][false, false, false, false, false, false, false]]
Entered a terminal (fully accepting) state of product in 1 steps with 0 reset in 1 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-03 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-03 finished in 425 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X(F((p0&&X(F(p1))))))'
Support contains 2 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 2 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
[2023-03-09 00:27:48] [INFO ] Invariant cache hit.
[2023-03-09 00:27:48] [INFO ] Implicit Places using invariants in 54 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 56 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 13 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 71 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 133 ms :[(NOT p1), (OR (NOT p0) (NOT p1)), (OR (NOT p0) (NOT p1))]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-04 automaton TGBA Formula[mat=[[{ cond=(NOT p1), acceptance={0} source=0 dest: 0}], [{ cond=true, acceptance={} source=1 dest: 2}], [{ cond=p0, acceptance={0} source=2 dest: 0}, { cond=(NOT p0), acceptance={0} source=2 dest: 2}]], initial=1, aps=[p1:(LEQ 3 s16), p0:(LEQ 3 s8)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, very-weak, weak, inherently-weak], stateDesc=[null, null, null][false, false, false]]
Product exploration explored 100000 steps with 2832 reset in 486 ms.
Stack based approach found an accepted trace after 96059 steps with 2696 reset with depth 36 and stack size 36 in 334 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-04 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-04 finished in 1040 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((F((p0&&X(p1)))||X(p0)))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 4 places :
Implicit places reduction removed 4 places
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 21 transition count 18
Applied a total of 4 rules in 1 ms. Remains 21 /25 variables (removed 4) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 21 cols
[2023-03-09 00:27:49] [INFO ] Computed 4 place invariants in 2 ms
[2023-03-09 00:27:49] [INFO ] Implicit Places using invariants in 56 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 58 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 20/25 places, 18/18 transitions.
Applied a total of 0 rules in 0 ms. Remains 20 /20 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 60 ms. Remains : 20/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 217 ms :[(NOT p0), (NOT p1), (AND (NOT p0) (NOT p1)), (NOT p0), (OR (NOT p0) (NOT p1))]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-05 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={} source=0 dest: 4}], [{ cond=(AND p0 (NOT p1)), acceptance={0} source=1 dest: 1}, { cond=(AND (NOT p0) (NOT p1)), acceptance={0} source=1 dest: 4}], [{ cond=(AND (NOT p0) (NOT p1)), acceptance={} source=2 dest: 4}], [{ cond=(NOT p0), acceptance={} source=3 dest: 0}, { cond=p0, acceptance={} source=3 dest: 2}], [{ cond=p0, acceptance={0} source=4 dest: 1}, { cond=(NOT p0), acceptance={0} source=4 dest: 4}]], initial=3, aps=[p0:(LEQ s4 s14), p1:(GT s13 s3)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, weak, inherently-weak], stateDesc=[null, null, null, null, null][false, false, false, false, false]]
Product exploration explored 100000 steps with 50000 reset in 83 ms.
Product exploration explored 100000 steps with 50000 reset in 116 ms.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND p0 (NOT p1)), (X p0), (X (NOT (AND (NOT p0) (NOT p1)))), (X (X p0))]
False Knowledge obtained : []
Property proved to be true thanks to knowledge :(X p0)
Knowledge based reduction with 4 factoid took 123 ms. Reduced automaton from 5 states, 8 edges and 2 AP (stutter sensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-05 TRUE TECHNIQUES KNOWLEDGE
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-05 finished in 626 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((p0 U (!p0&&X((p1||G(p0))))))'
Support contains 2 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 2 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-09 00:27:50] [INFO ] Computed 5 place invariants in 2 ms
[2023-03-09 00:27:50] [INFO ] Implicit Places using invariants in 46 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 48 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 52 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 325 ms :[true, (OR (NOT p1) p0), (AND (NOT p0) (NOT p1)), (NOT p0)]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-08 automaton TGBA Formula[mat=[[{ cond=true, acceptance={0} source=0 dest: 0}], [{ cond=p0, acceptance={0} source=1 dest: 1}, { cond=(NOT p0), acceptance={0} source=1 dest: 2}], [{ cond=(AND (NOT p0) (NOT p1)), acceptance={} source=2 dest: 0}, { cond=(AND p0 (NOT p1)), acceptance={} source=2 dest: 3}], [{ cond=(NOT p0), acceptance={} source=3 dest: 0}, { cond=p0, acceptance={} source=3 dest: 3}]], initial=1, aps=[p0:(GT 1 s3), p1:(GT 2 s17)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, very-weak, weak, inherently-weak], stateDesc=[null, null, null, null][false, false, false, false]]
Product exploration explored 100000 steps with 13076 reset in 174 ms.
Product exploration explored 100000 steps with 13138 reset in 137 ms.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND p0 p1), (X (NOT (AND (NOT p0) (NOT p1)))), (X p0), (X (NOT (AND p0 (NOT p1)))), true, (X (X (NOT (AND (NOT p0) (NOT p1))))), (X (X p0)), (X (X (NOT (AND p0 (NOT p1)))))]
False Knowledge obtained : []
Knowledge based reduction with 8 factoid took 480 ms. Reduced automaton from 4 states, 7 edges and 2 AP (stutter sensitive) to 4 states, 7 edges and 2 AP (stutter sensitive).
Stuttering acceptance computed with spot in 154 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Finished random walk after 6693 steps, including 14 resets, run visited all 3 properties in 13 ms. (steps per millisecond=514 )
Knowledge obtained : [(AND p0 p1), (X (NOT (AND (NOT p0) (NOT p1)))), (X p0), (X (NOT (AND p0 (NOT p1)))), true, (X (X (NOT (AND (NOT p0) (NOT p1))))), (X (X p0)), (X (X (NOT (AND p0 (NOT p1)))))]
False Knowledge obtained : [(F (NOT p0)), (F (AND p0 (NOT p1))), (F (AND (NOT p0) (NOT p1)))]
Knowledge based reduction with 8 factoid took 564 ms. Reduced automaton from 4 states, 7 edges and 2 AP (stutter sensitive) to 4 states, 7 edges and 2 AP (stutter sensitive).
Stuttering acceptance computed with spot in 183 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Stuttering acceptance computed with spot in 172 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
// Phase 1: matrix 18 rows 21 cols
[2023-03-09 00:27:52] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-09 00:27:52] [INFO ] [Real]Absence check using 3 positive place invariants in 5 ms returned sat
[2023-03-09 00:27:52] [INFO ] [Real]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:27:52] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2023-03-09 00:27:52] [INFO ] [Real]Absence check using state equation in 22 ms returned sat
[2023-03-09 00:27:52] [INFO ] Solution in real domain found non-integer solution.
[2023-03-09 00:27:52] [INFO ] [Nat]Absence check using 3 positive place invariants in 2 ms returned sat
[2023-03-09 00:27:52] [INFO ] [Nat]Absence check using 3 positive and 1 generalized place invariants in 2 ms returned sat
[2023-03-09 00:27:52] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2023-03-09 00:27:52] [INFO ] [Nat]Absence check using state equation in 23 ms returned sat
[2023-03-09 00:27:52] [INFO ] Computed and/alt/rep : 17/18/17 causal constraints (skipped 0 transitions) in 4 ms.
[2023-03-09 00:27:52] [INFO ] Added : 9 causal constraints over 2 iterations in 30 ms. Result :sat
Could not prove EG p0
Support contains 2 out of 21 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 21/21 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
[2023-03-09 00:27:52] [INFO ] Invariant cache hit.
[2023-03-09 00:27:52] [INFO ] Implicit Places using invariants in 48 ms returned []
[2023-03-09 00:27:52] [INFO ] Invariant cache hit.
[2023-03-09 00:27:52] [INFO ] Implicit Places using invariants and state equation in 64 ms returned []
Implicit Place search using SMT with State Equation took 124 ms to find 0 implicit places.
[2023-03-09 00:27:52] [INFO ] Invariant cache hit.
[2023-03-09 00:27:52] [INFO ] Dead Transitions using invariants and state equation in 55 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 197 ms. Remains : 21/21 places, 18/18 transitions.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND p0 p1), (X (NOT (AND (NOT p0) (NOT p1)))), (X p0), (X (NOT (AND p0 (NOT p1)))), true, (X (X (NOT (AND (NOT p0) (NOT p1))))), (X (X p0)), (X (X (NOT (AND p0 (NOT p1)))))]
False Knowledge obtained : []
Knowledge based reduction with 8 factoid took 439 ms. Reduced automaton from 4 states, 7 edges and 2 AP (stutter sensitive) to 4 states, 7 edges and 2 AP (stutter sensitive).
Stuttering acceptance computed with spot in 158 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Incomplete random walk after 10005 steps, including 20 resets, run finished after 36 ms. (steps per millisecond=277 ) properties (out of 3) seen :2
Finished Best-First random walk after 838 steps, including 0 resets, run visited all 1 properties in 3 ms. (steps per millisecond=279 )
Knowledge obtained : [(AND p0 p1), (X (NOT (AND (NOT p0) (NOT p1)))), (X p0), (X (NOT (AND p0 (NOT p1)))), true, (X (X (NOT (AND (NOT p0) (NOT p1))))), (X (X p0)), (X (X (NOT (AND p0 (NOT p1)))))]
False Knowledge obtained : [(F (NOT p0)), (F (AND p0 (NOT p1))), (F (AND (NOT p0) (NOT p1)))]
Knowledge based reduction with 8 factoid took 492 ms. Reduced automaton from 4 states, 7 edges and 2 AP (stutter sensitive) to 4 states, 7 edges and 2 AP (stutter sensitive).
Stuttering acceptance computed with spot in 158 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Stuttering acceptance computed with spot in 164 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
[2023-03-09 00:27:54] [INFO ] Invariant cache hit.
[2023-03-09 00:27:54] [INFO ] [Real]Absence check using 3 positive place invariants in 1 ms returned sat
[2023-03-09 00:27:54] [INFO ] [Real]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:27:54] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2023-03-09 00:27:54] [INFO ] [Real]Absence check using state equation in 19 ms returned sat
[2023-03-09 00:27:54] [INFO ] Solution in real domain found non-integer solution.
[2023-03-09 00:27:54] [INFO ] [Nat]Absence check using 3 positive place invariants in 2 ms returned sat
[2023-03-09 00:27:54] [INFO ] [Nat]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:27:54] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2023-03-09 00:27:54] [INFO ] [Nat]Absence check using state equation in 14 ms returned sat
[2023-03-09 00:27:54] [INFO ] Computed and/alt/rep : 17/18/17 causal constraints (skipped 0 transitions) in 8 ms.
[2023-03-09 00:27:54] [INFO ] Added : 9 causal constraints over 2 iterations in 29 ms. Result :sat
Could not prove EG p0
Stuttering acceptance computed with spot in 149 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Product exploration explored 100000 steps with 13159 reset in 135 ms.
Product exploration explored 100000 steps with 13060 reset in 149 ms.
Applying partial POR strategy [true, false, true, true]
Stuttering acceptance computed with spot in 138 ms :[true, (OR (NOT p1) p0), (NOT p0), (AND (NOT p0) (NOT p1))]
Support contains 2 out of 21 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 21/21 places, 18/18 transitions.
Performed 5 Post agglomeration using F-continuation condition.Transition count delta: 0
Iterating post reduction 0 with 5 rules applied. Total rules applied 5 place count 21 transition count 18
Performed 4 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 1 with 4 Pre rules applied. Total rules applied 5 place count 21 transition count 18
Deduced a syphon composed of 9 places in 0 ms
Iterating global reduction 1 with 4 rules applied. Total rules applied 9 place count 21 transition count 18
Discarding 2 places :
Symmetric choice reduction at 1 with 2 rule applications. Total rules 11 place count 19 transition count 16
Deduced a syphon composed of 7 places in 0 ms
Iterating global reduction 1 with 2 rules applied. Total rules applied 13 place count 19 transition count 16
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 0
Deduced a syphon composed of 9 places in 0 ms
Iterating global reduction 1 with 2 rules applied. Total rules applied 15 place count 19 transition count 16
Discarding 1 places :
Symmetric choice reduction at 1 with 1 rule applications. Total rules 16 place count 18 transition count 15
Deduced a syphon composed of 8 places in 0 ms
Iterating global reduction 1 with 1 rules applied. Total rules applied 17 place count 18 transition count 15
Deduced a syphon composed of 8 places in 0 ms
Applied a total of 17 rules in 16 ms. Remains 18 /21 variables (removed 3) and now considering 15/18 (removed 3) transitions.
[2023-03-09 00:27:55] [INFO ] Redundant transitions in 0 ms returned []
// Phase 1: matrix 15 rows 18 cols
[2023-03-09 00:27:55] [INFO ] Computed 4 place invariants in 2 ms
[2023-03-09 00:27:55] [INFO ] Dead Transitions using invariants and state equation in 42 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 18/21 places, 15/18 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 69 ms. Remains : 18/21 places, 15/18 transitions.
Built C files in :
/tmp/ltsmin8111761929358224146
[2023-03-09 00:27:55] [INFO ] Built C files in 5ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin8111761929358224146
Running compilation step : cd /tmp/ltsmin8111761929358224146;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/limit_time.pl' '3' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
Compilation finished in 284 ms.
Running link step : cd /tmp/ltsmin8111761929358224146;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 48 ms.
Running LTSmin : cd /tmp/ltsmin8111761929358224146;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '--when' '--hoa' '/tmp/stateBased17817403634516165570.hoa' '--buchi-type=spotba'
LTSmin run took 263 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-08 TRUE TECHNIQUES EXPLICIT LTSMIN SAT_SMT
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-08 finished in 6028 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X(G((p0&&F(p1)))))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 4 places :
Implicit places reduction removed 4 places
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 21 transition count 18
Applied a total of 4 rules in 1 ms. Remains 21 /25 variables (removed 4) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 21 cols
[2023-03-09 00:27:56] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-09 00:27:56] [INFO ] Implicit Places using invariants in 38 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 39 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 20/25 places, 18/18 transitions.
Applied a total of 0 rules in 0 ms. Remains 20 /20 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 41 ms. Remains : 20/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 164 ms :[(OR (NOT p0) (NOT p1)), (OR (NOT p0) (NOT p1)), true, (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-09 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=p0, acceptance={} source=1 dest: 1}, { cond=(NOT p0), acceptance={} source=1 dest: 2}, { cond=(AND p0 (NOT p1)), acceptance={} source=1 dest: 3}], [{ cond=true, acceptance={0} source=2 dest: 2}], [{ cond=(NOT p1), acceptance={0} source=3 dest: 3}]], initial=0, aps=[p0:(LEQ s9 s4), p1:(GT s3 s8)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive, very-weak, weak, inherently-weak], stateDesc=[null, null, null, null][false, false, false, false]]
Stuttering criterion allowed to conclude after 1610 steps with 20 reset in 3 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-09 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-09 finished in 230 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F(G((p0 U p1))))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Drop transitions removed 3 transitions
Trivial Post-agglo rules discarded 3 transitions
Performed 3 trivial Post agglomeration. Transition count delta: 3
Iterating post reduction 0 with 6 rules applied. Total rules applied 6 place count 22 transition count 15
Reduce places removed 3 places and 0 transitions.
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Iterating post reduction 1 with 4 rules applied. Total rules applied 10 place count 19 transition count 14
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 2 with 1 rules applied. Total rules applied 11 place count 18 transition count 14
Performed 2 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 3 with 2 Pre rules applied. Total rules applied 11 place count 18 transition count 12
Deduced a syphon composed of 2 places in 0 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 3 with 4 rules applied. Total rules applied 15 place count 16 transition count 12
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Deduced a syphon composed of 2 places in 0 ms
Reduce places removed 2 places and 0 transitions.
Iterating global reduction 3 with 4 rules applied. Total rules applied 19 place count 14 transition count 10
Applied a total of 19 rules in 8 ms. Remains 14 /25 variables (removed 11) and now considering 10/18 (removed 8) transitions.
// Phase 1: matrix 10 rows 14 cols
[2023-03-09 00:27:56] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-09 00:27:56] [INFO ] Implicit Places using invariants in 28 ms returned [13]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 29 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 13/25 places, 10/18 transitions.
Applied a total of 0 rules in 2 ms. Remains 13 /13 variables (removed 0) and now considering 10/10 (removed 0) transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 39 ms. Remains : 13/25 places, 10/18 transitions.
Stuttering acceptance computed with spot in 108 ms :[(NOT p1), (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-10 automaton TGBA Formula[mat=[[{ cond=(OR p1 p0), acceptance={} source=0 dest: 0}, { cond=(AND (NOT p1) (NOT p0)), acceptance={0} source=0 dest: 0}, { cond=(AND (NOT p1) p0), acceptance={0} source=0 dest: 1}], [{ cond=(AND (NOT p1) (NOT p0)), acceptance={0} source=1 dest: 0}, { cond=(AND (NOT p1) p0), acceptance={0} source=1 dest: 1}]], initial=0, aps=[p1:(LEQ s0 s8), p0:(LEQ s12 s9)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-invariant], stateDesc=[null, null][true, true]]
Product exploration explored 100000 steps with 96 reset in 152 ms.
Stack based approach found an accepted trace after 478 steps with 1 reset with depth 335 and stack size 335 in 2 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-10 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-10 finished in 324 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(G(X(F(((X(p0) U p1)&&(p0 U X(p2)))))))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 2 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-09 00:27:56] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-09 00:27:56] [INFO ] Implicit Places using invariants in 46 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 47 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 50 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 221 ms :[(OR (NOT p1) (NOT p2)), (NOT p2), (OR (NOT p1) (AND (NOT p0) (NOT p2))), (NOT p2)]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-11 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 0}, { cond=(NOT p0), acceptance={} source=0 dest: 1}, { cond=(NOT p1), acceptance={} source=0 dest: 2}, { cond=p0, acceptance={} source=0 dest: 3}], [{ cond=(AND (NOT p0) (NOT p2)), acceptance={0} source=1 dest: 1}, { cond=(AND (NOT p1) (NOT p2)), acceptance={0} source=1 dest: 2}, { cond=(AND p0 (NOT p2)), acceptance={0} source=1 dest: 3}], [{ cond=(NOT p0), acceptance={0} source=2 dest: 1}, { cond=(NOT p1), acceptance={0} source=2 dest: 2}], [{ cond=(AND (NOT p0) (NOT p2)), acceptance={0} source=3 dest: 1}, { cond=(AND p0 (NOT p2)), acceptance={0} source=3 dest: 3}]], initial=0, aps=[p0:(LEQ 2 s19), p1:(LEQ s12 s11), p2:(LEQ 2 s1)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive, weak, inherently-weak], stateDesc=[null, null, null, null][false, false, false, false]]
Product exploration explored 100000 steps with 507 reset in 144 ms.
Stack based approach found an accepted trace after 16003 steps with 76 reset with depth 102 and stack size 102 in 29 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-11 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-11 finished in 472 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!((F(p0)&&F(G(!p0))))'
Support contains 2 out of 25 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 4 places :
Implicit places reduction removed 4 places
Drop transitions removed 6 transitions
Trivial Post-agglo rules discarded 6 transitions
Performed 6 trivial Post agglomeration. Transition count delta: 6
Iterating post reduction 0 with 10 rules applied. Total rules applied 10 place count 21 transition count 12
Reduce places removed 6 places and 0 transitions.
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Iterating post reduction 1 with 7 rules applied. Total rules applied 17 place count 15 transition count 11
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 2 with 1 rules applied. Total rules applied 18 place count 14 transition count 11
Performed 1 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 3 with 1 Pre rules applied. Total rules applied 18 place count 14 transition count 10
Deduced a syphon composed of 1 places in 0 ms
Reduce places removed 1 places and 0 transitions.
Iterating global reduction 3 with 2 rules applied. Total rules applied 20 place count 13 transition count 10
Performed 3 Post agglomeration using F-continuation condition.Transition count delta: 3
Deduced a syphon composed of 3 places in 0 ms
Reduce places removed 3 places and 0 transitions.
Iterating global reduction 3 with 6 rules applied. Total rules applied 26 place count 10 transition count 7
Applied a total of 26 rules in 8 ms. Remains 10 /25 variables (removed 15) and now considering 7/18 (removed 11) transitions.
// Phase 1: matrix 7 rows 10 cols
[2023-03-09 00:27:57] [INFO ] Computed 4 place invariants in 2 ms
[2023-03-09 00:27:57] [INFO ] Implicit Places using invariants in 35 ms returned [7]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 36 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 9/25 places, 7/18 transitions.
Drop transitions removed 1 transitions
Trivial Post-agglo rules discarded 1 transitions
Performed 1 trivial Post agglomeration. Transition count delta: 1
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 9 transition count 6
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 1 with 1 rules applied. Total rules applied 2 place count 8 transition count 6
Applied a total of 2 rules in 3 ms. Remains 8 /9 variables (removed 1) and now considering 6/7 (removed 1) transitions.
// Phase 1: matrix 6 rows 8 cols
[2023-03-09 00:27:57] [INFO ] Computed 3 place invariants in 0 ms
[2023-03-09 00:27:57] [INFO ] Implicit Places using invariants in 32 ms returned []
[2023-03-09 00:27:57] [INFO ] Invariant cache hit.
[2023-03-09 00:27:57] [INFO ] Implicit Places using invariants and state equation in 41 ms returned []
Implicit Place search using SMT with State Equation took 76 ms to find 0 implicit places.
Starting structural reductions in SI_LTL mode, iteration 2 : 8/25 places, 6/18 transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 123 ms. Remains : 8/25 places, 6/18 transitions.
Stuttering acceptance computed with spot in 139 ms :[true, (NOT p0), p0]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-12 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={} source=0 dest: 1}, { cond=true, acceptance={} source=0 dest: 2}], [{ cond=(NOT p0), acceptance={0} source=1 dest: 1}], [{ cond=(NOT p0), acceptance={} source=2 dest: 2}, { cond=p0, acceptance={0} source=2 dest: 2}]], initial=0, aps=[p0:(LEQ s7 s5)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-invariant], stateDesc=[null, null, null][true, true, true]]
Stuttering criterion allowed to conclude after 6406 steps with 7 reset in 14 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-12 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-12 finished in 298 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(X(F((p0||X((p1 U p2))||G(p1)))))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 4 places :
Implicit places reduction removed 4 places
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 21 transition count 18
Applied a total of 4 rules in 2 ms. Remains 21 /25 variables (removed 4) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 21 cols
[2023-03-09 00:27:57] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-09 00:27:57] [INFO ] Implicit Places using invariants in 49 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 52 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 20/25 places, 18/18 transitions.
Applied a total of 0 rules in 0 ms. Remains 20 /20 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 55 ms. Remains : 20/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 152 ms :[(AND (NOT p0) (NOT p1) (NOT p2)), (AND (NOT p0) (NOT p1) (NOT p2)), (AND (NOT p0) (NOT p1) (NOT p2))]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-13 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={} source=0 dest: 1}], [{ cond=(AND p1 (NOT p0) (NOT p2)), acceptance={} source=1 dest: 1}, { cond=(AND (NOT p1) (NOT p0) (NOT p2)), acceptance={0} source=1 dest: 1}], [{ cond=true, acceptance={} source=2 dest: 0}]], initial=2, aps=[p0:(LEQ s6 s17), p1:(LEQ 1 s1), p2:(LEQ 2 s9)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive], stateDesc=[null, null, null][false, false, false]]
Product exploration explored 100000 steps with 50000 reset in 217 ms.
Product exploration explored 100000 steps with 50000 reset in 278 ms.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND p0 (NOT p1) (NOT p2)), (X p0), (X (X (NOT (AND p1 (NOT p0) (NOT p2))))), (X (X (NOT (AND (NOT p1) (NOT p0) (NOT p2)))))]
False Knowledge obtained : []
Property proved to be true thanks to knowledge :(X p0)
Knowledge based reduction with 4 factoid took 116 ms. Reduced automaton from 3 states, 4 edges and 3 AP (stutter sensitive) to 1 states, 0 edges and 0 AP (stutter insensitive).
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-13 TRUE TECHNIQUES KNOWLEDGE
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-13 finished in 841 ms.
Running Spot : '/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.ltl.spot.binaries_1.0.0.202303021504/bin/ltl2tgba-linux64' '--check=stutter' '--hoaf=tv' '-f' '!(F(((X(X(F((p1 U (p2||G(p1))))))&&p0)||G(F((p1 U (p2||G(p1))))))))'
Support contains 4 out of 25 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 25/25 places, 18/18 transitions.
Discarding 3 places :
Implicit places reduction removed 3 places
Iterating post reduction 0 with 3 rules applied. Total rules applied 3 place count 22 transition count 18
Applied a total of 3 rules in 2 ms. Remains 22 /25 variables (removed 3) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-09 00:27:58] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-09 00:27:58] [INFO ] Implicit Places using invariants in 38 ms returned [14]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 40 ms to find 1 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/25 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
Finished structural reductions in LTL mode , in 2 iterations and 44 ms. Remains : 21/25 places, 18/18 transitions.
Stuttering acceptance computed with spot in 164 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p2) (NOT p1)), (AND (NOT p2) (NOT p1))]
Running random walk in product with property : ClientsAndServers-PT-N0005P0-LTLCardinality-14 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={} source=0 dest: 0}, { cond=(AND (NOT p2) (NOT p1)), acceptance={} source=0 dest: 1}, { cond=p0, acceptance={} source=0 dest: 2}], [{ cond=(AND (NOT p2) p1), acceptance={} source=1 dest: 1}, { cond=(AND (NOT p2) (NOT p1)), acceptance={0} source=1 dest: 1}], [{ cond=true, acceptance={} source=2 dest: 1}]], initial=0, aps=[p0:(AND (LEQ s12 s9) (LEQ 3 s17)), p2:(AND (LEQ 3 s16) (GT s12 s9)), p1:(GT s12 s9)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive], stateDesc=[null, null, null][false, false, false]]
Product exploration explored 100000 steps with 3287 reset in 250 ms.
Product exploration explored 100000 steps with 3250 reset in 350 ms.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND (NOT p0) (NOT p2) (NOT p1)), (X (NOT p0)), (X (NOT (AND (NOT p2) p1))), (X (AND (NOT p2) (NOT p1))), true, (X (X (NOT p0))), (X (X (NOT (AND (NOT p2) p1)))), (X (X (AND (NOT p2) (NOT p1))))]
False Knowledge obtained : []
Knowledge based reduction with 8 factoid took 399 ms. Reduced automaton from 3 states, 6 edges and 3 AP (stutter sensitive) to 3 states, 6 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 119 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Finished random walk after 1095 steps, including 2 resets, run visited all 3 properties in 2 ms. (steps per millisecond=547 )
Knowledge obtained : [(AND (NOT p0) (NOT p2) (NOT p1)), (X (NOT p0)), (X (NOT (AND (NOT p2) p1))), (X (AND (NOT p2) (NOT p1))), true, (X (X (NOT p0))), (X (X (NOT (AND (NOT p2) p1)))), (X (X (AND (NOT p2) (NOT p1))))]
False Knowledge obtained : [(F p0), (F (AND p1 (NOT p2))), (F (NOT (AND (NOT p1) (NOT p2))))]
Knowledge based reduction with 8 factoid took 454 ms. Reduced automaton from 3 states, 6 edges and 3 AP (stutter sensitive) to 3 states, 6 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 334 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Stuttering acceptance computed with spot in 157 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
// Phase 1: matrix 18 rows 21 cols
[2023-03-09 00:28:00] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-09 00:28:00] [INFO ] [Real]Absence check using 3 positive place invariants in 2 ms returned sat
[2023-03-09 00:28:00] [INFO ] [Real]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:28:00] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2023-03-09 00:28:00] [INFO ] [Real]Absence check using state equation in 11 ms returned sat
[2023-03-09 00:28:00] [INFO ] Solution in real domain found non-integer solution.
[2023-03-09 00:28:00] [INFO ] [Nat]Absence check using 3 positive place invariants in 2 ms returned sat
[2023-03-09 00:28:00] [INFO ] [Nat]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:28:00] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2023-03-09 00:28:00] [INFO ] [Nat]Absence check using state equation in 11 ms returned sat
[2023-03-09 00:28:00] [INFO ] Computed and/alt/rep : 17/18/17 causal constraints (skipped 0 transitions) in 3 ms.
[2023-03-09 00:28:00] [INFO ] Added : 3 causal constraints over 1 iterations in 11 ms. Result :sat
Could not prove EG (AND (NOT p1) (NOT p2))
Support contains 4 out of 21 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 21/21 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 21 /21 variables (removed 0) and now considering 18/18 (removed 0) transitions.
[2023-03-09 00:28:00] [INFO ] Invariant cache hit.
[2023-03-09 00:28:00] [INFO ] Implicit Places using invariants in 36 ms returned []
[2023-03-09 00:28:00] [INFO ] Invariant cache hit.
[2023-03-09 00:28:00] [INFO ] Implicit Places using invariants and state equation in 48 ms returned []
Implicit Place search using SMT with State Equation took 86 ms to find 0 implicit places.
[2023-03-09 00:28:00] [INFO ] Invariant cache hit.
[2023-03-09 00:28:00] [INFO ] Dead Transitions using invariants and state equation in 33 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 121 ms. Remains : 21/21 places, 18/18 transitions.
Computed a total of 0 stabilizing places and 0 stable transitions
Computed a total of 0 stabilizing places and 0 stable transitions
Knowledge obtained : [(AND (NOT p0) (NOT p1) (NOT p2)), (X (NOT p0)), (X (AND (NOT p1) (NOT p2))), (X (NOT (AND p1 (NOT p2)))), true, (X (X (NOT p0))), (X (X (AND (NOT p1) (NOT p2)))), (X (X (NOT (AND p1 (NOT p2)))))]
False Knowledge obtained : []
Knowledge based reduction with 8 factoid took 415 ms. Reduced automaton from 3 states, 6 edges and 3 AP (stutter sensitive) to 3 states, 6 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 155 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Finished random walk after 764 steps, including 0 resets, run visited all 3 properties in 5 ms. (steps per millisecond=152 )
Knowledge obtained : [(AND (NOT p0) (NOT p1) (NOT p2)), (X (NOT p0)), (X (AND (NOT p1) (NOT p2))), (X (NOT (AND p1 (NOT p2)))), true, (X (X (NOT p0))), (X (X (AND (NOT p1) (NOT p2)))), (X (X (NOT (AND p1 (NOT p2)))))]
False Knowledge obtained : [(F p0), (F (AND p1 (NOT p2))), (F (NOT (AND (NOT p1) (NOT p2))))]
Knowledge based reduction with 8 factoid took 498 ms. Reduced automaton from 3 states, 6 edges and 3 AP (stutter sensitive) to 3 states, 6 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 149 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Stuttering acceptance computed with spot in 150 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
[2023-03-09 00:28:02] [INFO ] Invariant cache hit.
[2023-03-09 00:28:02] [INFO ] [Real]Absence check using 3 positive place invariants in 17 ms returned sat
[2023-03-09 00:28:02] [INFO ] [Real]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:28:02] [INFO ] [Real]Adding state equation constraints to refine reachable states.
[2023-03-09 00:28:02] [INFO ] [Real]Absence check using state equation in 16 ms returned sat
[2023-03-09 00:28:02] [INFO ] Solution in real domain found non-integer solution.
[2023-03-09 00:28:02] [INFO ] [Nat]Absence check using 3 positive place invariants in 2 ms returned sat
[2023-03-09 00:28:02] [INFO ] [Nat]Absence check using 3 positive and 1 generalized place invariants in 1 ms returned sat
[2023-03-09 00:28:02] [INFO ] [Nat]Adding state equation constraints to refine reachable states.
[2023-03-09 00:28:02] [INFO ] [Nat]Absence check using state equation in 15 ms returned sat
[2023-03-09 00:28:02] [INFO ] Computed and/alt/rep : 17/18/17 causal constraints (skipped 0 transitions) in 3 ms.
[2023-03-09 00:28:02] [INFO ] Added : 3 causal constraints over 1 iterations in 15 ms. Result :sat
Could not prove EG (AND (NOT p1) (NOT p2))
Stuttering acceptance computed with spot in 137 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Product exploration explored 100000 steps with 3184 reset in 127 ms.
Product exploration explored 100000 steps with 3225 reset in 132 ms.
Applying partial POR strategy [false, true, false]
Stuttering acceptance computed with spot in 166 ms :[(AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2)), (AND (NOT p1) (NOT p2))]
Support contains 4 out of 21 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 21/21 places, 18/18 transitions.
Performed 4 Post agglomeration using F-continuation condition.Transition count delta: 0
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 21 transition count 18
Performed 3 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 1 with 3 Pre rules applied. Total rules applied 4 place count 21 transition count 18
Deduced a syphon composed of 7 places in 0 ms
Iterating global reduction 1 with 3 rules applied. Total rules applied 7 place count 21 transition count 18
Discarding 1 places :
Symmetric choice reduction at 1 with 1 rule applications. Total rules 8 place count 20 transition count 17
Deduced a syphon composed of 6 places in 1 ms
Iterating global reduction 1 with 1 rules applied. Total rules applied 9 place count 20 transition count 17
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 0
Deduced a syphon composed of 8 places in 0 ms
Iterating global reduction 1 with 2 rules applied. Total rules applied 11 place count 20 transition count 17
Discarding 1 places :
Symmetric choice reduction at 1 with 1 rule applications. Total rules 12 place count 19 transition count 16
Deduced a syphon composed of 7 places in 1 ms
Iterating global reduction 1 with 1 rules applied. Total rules applied 13 place count 19 transition count 16
Deduced a syphon composed of 7 places in 1 ms
Applied a total of 13 rules in 7 ms. Remains 19 /21 variables (removed 2) and now considering 16/18 (removed 2) transitions.
[2023-03-09 00:28:03] [INFO ] Redundant transitions in 0 ms returned []
// Phase 1: matrix 16 rows 19 cols
[2023-03-09 00:28:03] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-09 00:28:03] [INFO ] Dead Transitions using invariants and state equation in 65 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 19/21 places, 16/18 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 81 ms. Remains : 19/21 places, 16/18 transitions.
Built C files in :
/tmp/ltsmin733452578232803494
[2023-03-09 00:28:03] [INFO ] Built C files in 2ms conformant to PINS (ltsmin variant)in folder :/tmp/ltsmin733452578232803494
Running compilation step : cd /tmp/ltsmin733452578232803494;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/limit_time.pl' '3' 'gcc' '-c' '-I/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/include/' '-I.' '-std=c99' '-fPIC' '-O0' 'model.c'
Compilation finished in 163 ms.
Running link step : cd /tmp/ltsmin733452578232803494;'gcc' '-shared' '-o' 'gal.so' 'model.o'
Link finished in 30 ms.
Running LTSmin : cd /tmp/ltsmin733452578232803494;'/home/mcc/BenchKit/itstools/itstools/plugins/fr.lip6.move.gal.ltsmin.binaries_1.0.0.202303021504/bin/pins2lts-mc-linux64' './gal.so' '--threads=8' '--when' '--hoa' '/tmp/stateBased7433921326731744367.hoa' '--buchi-type=spotba'
LTSmin run took 183 ms.
FORMULA ClientsAndServers-PT-N0005P0-LTLCardinality-14 FALSE TECHNIQUES EXPLICIT LTSMIN SAT_SMT
Treatment of property ClientsAndServers-PT-N0005P0-LTLCardinality-14 finished in 5401 ms.
All properties solved by simple procedures.
Total runtime 18865 ms.
BK_STOP 1678321684755
--------------------
content from stderr:
+ export BINDIR=/home/mcc/BenchKit/bin//../itstools/bin//../
+ BINDIR=/home/mcc/BenchKit/bin//../itstools/bin//../
++ pwd
+ export MODEL=/home/mcc/execution
+ MODEL=/home/mcc/execution
+ [[ LTLCardinality = StateSpace ]]
+ /home/mcc/BenchKit/bin//../itstools/bin//..//runeclipse.sh /home/mcc/execution LTLCardinality -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600
+ 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//../itstools/bin//..//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202303021504.jar
+ VERSION=202303021504
+ echo 'Running Version 202303021504'
+ /home/mcc/BenchKit/bin//../itstools/bin//..//itstools/its-tools -pnfolder /home/mcc/execution -examination LTLCardinality -its -ltsmin -greatspnpath /home/mcc/BenchKit/bin//../itstools/bin//..//greatspn/ -order META -manyOrder -smt -timeout 3600
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="ClientsAndServers-PT-N0005P0"
export BK_EXAMINATION="LTLCardinality"
export BK_TOOL="itstools"
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 itstools"
echo " Input is ClientsAndServers-PT-N0005P0, examination is LTLCardinality"
echo " Time confinement is $BK_TIME_CONFINEMENT seconds"
echo " Memory confinement is 16384 MBytes"
echo " Number of cores is 4"
echo " Run identifier is r069-smll-167814396100227"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/ClientsAndServers-PT-N0005P0.tgz
mv ClientsAndServers-PT-N0005P0 execution
cd execution
if [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "UpperBounds" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] || [ "LTLCardinality" = "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 [ "LTLCardinality" = "UpperBounds" ] ; then
echo "The expected result is a vector of positive values"
echo NUM_VECTOR
elif [ "LTLCardinality" != "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 "LTLCardinality.txt" ] ; then
echo "here is the order used to build the result vector(from text file)"
for x in $(grep Property LTLCardinality.txt | cut -d ' ' -f 2 | sort -u) ; do
echo "FORMULA_NAME $x"
done
elif [ -f "LTLCardinality.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 [ "LTLCardinality" = "ReachabilityDeadlock" ] || [ "LTLCardinality" = "QuasiLiveness" ] || [ "LTLCardinality" = "StableMarking" ] || [ "LTLCardinality" = "Liveness" ] || [ "LTLCardinality" = "OneSafe" ] ; then
echo "FORMULA_NAME LTLCardinality"
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 ;