About the Execution of LTSMin+red for ClientsAndServers-PT-N0500P0
Execution Summary | |||||
Max Memory Used (MB) |
Time wait (ms) | CPU Usage (ms) | I/O Wait (ms) | Computed Result | Execution Status |
395.844 | 31329.00 | 52555.00 | 612.00 | FTFFFFFFTTFFFFFF | 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.r073-smll-167814399400331.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 ltsminxred
Input is ClientsAndServers-PT-N0500P0, examination is LTLCardinality
Time confinement is 3600 seconds
Memory confinement is 16384 MBytes
Number of cores is 4
Run identifier is r073-smll-167814399400331
=====================================================================
--------------------
preparation of the directory to be used:
/home/mcc/execution
total 376K
-rw-r--r-- 1 mcc users 6.5K Feb 26 13:14 CTLCardinality.txt
-rw-r--r-- 1 mcc users 66K Feb 26 13:14 CTLCardinality.xml
-rw-r--r-- 1 mcc users 4.8K Feb 26 13:13 CTLFireability.txt
-rw-r--r-- 1 mcc users 38K Feb 26 13:13 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 3.6K Feb 25 15:44 LTLCardinality.txt
-rw-r--r-- 1 mcc users 24K Feb 25 15:44 LTLCardinality.xml
-rw-r--r-- 1 mcc users 2.3K Feb 25 15:44 LTLFireability.txt
-rw-r--r-- 1 mcc users 17K Feb 25 15:44 LTLFireability.xml
-rw-r--r-- 1 mcc users 9.7K Feb 26 13:15 ReachabilityCardinality.txt
-rw-r--r-- 1 mcc users 100K Feb 26 13:15 ReachabilityCardinality.xml
-rw-r--r-- 1 mcc users 4.7K Feb 26 13:15 ReachabilityFireability.txt
-rw-r--r-- 1 mcc users 30K Feb 26 13:15 ReachabilityFireability.xml
-rw-r--r-- 1 mcc users 1.8K Feb 25 15:44 UpperBounds.txt
-rw-r--r-- 1 mcc users 3.8K Feb 25 15:44 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-N0500P0-LTLCardinality-00
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-01
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-02
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-03
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-04
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-05
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-06
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-07
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-08
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-09
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-10
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-11
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-12
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-13
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-14
FORMULA_NAME ClientsAndServers-PT-N0500P0-LTLCardinality-15
=== Now, execution of the tool begins
BK_START 1678421110744
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=ltsminxred
BK_EXAMINATION=LTLCardinality
BK_BIN_PATH=/home/mcc/BenchKit/bin/
BK_TIME_CONFINEMENT=3600
BK_INPUT=ClientsAndServers-PT-N0500P0
Applying reductions before tool ltsmin
Invoking reducer
Running Version 202303021504
[2023-03-10 04:05:13] [INFO ] Running its-tools with arguments : [-pnfolder, /home/mcc/execution, -examination, LTLCardinality, -timeout, 360, -rebuildPNML]
[2023-03-10 04:05:13] [INFO ] Parsing pnml file : /home/mcc/execution/model.pnml
[2023-03-10 04:05:13] [INFO ] Load time of PNML (sax parser for PT used): 33 ms
[2023-03-10 04:05:13] [INFO ] Transformed 25 places.
[2023-03-10 04:05:13] [INFO ] Transformed 18 transitions.
[2023-03-10 04:05:13] [INFO ] Parsed PT model containing 25 places and 18 transitions and 54 arcs in 125 ms.
Parsed 16 properties from file /home/mcc/execution/LTLCardinality.xml in 14 ms.
Working with output stream class java.io.PrintStream
Initial state reduction rules removed 5 formulas.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-00 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-01 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-03 FALSE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-08 TRUE TECHNIQUES TOPOLOGICAL INITIAL_STATE
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-09 TRUE 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.
Discarding 1 places :
Implicit places reduction removed 1 places
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 24 transition count 18
Applied a total of 1 rules in 17 ms. Remains 24 /25 variables (removed 1) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 24 cols
[2023-03-10 04:05:13] [INFO ] Computed 7 place invariants in 6 ms
[2023-03-10 04:05:13] [INFO ] Implicit Places using invariants in 171 ms returned []
[2023-03-10 04:05:13] [INFO ] Invariant cache hit.
[2023-03-10 04:05:13] [INFO ] Implicit Places using invariants and state equation in 69 ms returned []
Implicit Place search using SMT with State Equation took 285 ms to find 0 implicit places.
[2023-03-10 04:05:13] [INFO ] Invariant cache hit.
[2023-03-10 04:05:13] [INFO ] Dead Transitions using invariants and state equation in 56 ms found 0 transitions.
Starting structural reductions in LTL mode, iteration 1 : 24/25 places, 18/18 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 361 ms. Remains : 24/25 places, 18/18 transitions.
Support contains 19 out of 24 places after structural reductions.
[2023-03-10 04:05:14] [INFO ] Flatten gal took : 23 ms
[2023-03-10 04:05:14] [INFO ] Flatten gal took : 7 ms
[2023-03-10 04:05:14] [INFO ] Input system was already deterministic with 18 transitions.
Incomplete random walk after 12005 steps, including 2 resets, run finished after 24 ms. (steps per millisecond=500 ) properties (out of 21) seen :2
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 50 ms. (steps per millisecond=20 ) properties (out of 19) seen :5
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 28 ms. (steps per millisecond=35 ) properties (out of 14) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 32 ms. (steps per millisecond=31 ) properties (out of 14) seen :3
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 17 ms. (steps per millisecond=58 ) properties (out of 11) seen :0
Incomplete Best-First random walk after 1000 steps, including 2 resets, run finished after 22 ms. (steps per millisecond=45 ) properties (out of 11) seen :6
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 11 ms. (steps per millisecond=91 ) properties (out of 5) seen :0
Incomplete Best-First random walk after 1001 steps, including 2 resets, run finished after 11 ms. (steps per millisecond=91 ) properties (out of 5) seen :0
Running SMT prover for 5 properties.
[2023-03-10 04:05:14] [INFO ] Invariant cache hit.
[2023-03-10 04:05:14] [INFO ] After 81ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:5
[2023-03-10 04:05:14] [INFO ] [Nat]Absence check using 5 positive place invariants in 3 ms returned sat
[2023-03-10 04:05:14] [INFO ] [Nat]Absence check using 5 positive and 2 generalized place invariants in 3 ms returned sat
[2023-03-10 04:05:14] [INFO ] After 36ms SMT Verify possible using state equation in natural domain returned unsat :1 sat :4
[2023-03-10 04:05:14] [INFO ] After 57ms SMT Verify possible using trap constraints in natural domain returned unsat :1 sat :4
Attempting to minimize the solution found.
Minimization took 21 ms.
[2023-03-10 04:05:14] [INFO ] After 156ms SMT Verify possible using all constraints in natural domain returned unsat :1 sat :4
Fused 5 Parikh solutions to 4 different solutions.
Finished Parikh walk after 8568 steps, including 0 resets, run visited all 1 properties in 21 ms. (steps per millisecond=408 )
Parikh walk visited 4 properties in 547 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-10 FALSE TECHNIQUES REACHABILITY_KNOWLEDGE
Successfully simplified 1 atomic propositions for a total of 10 simplifications.
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(X(X(G((p0&&F(G(p1))))))))'
Support contains 3 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 1 places :
Implicit places reduction removed 1 places
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 23 transition count 18
Applied a total of 1 rules in 1 ms. Remains 23 /24 variables (removed 1) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 23 cols
[2023-03-10 04:05:15] [INFO ] Computed 6 place invariants in 1 ms
[2023-03-10 04:05:15] [INFO ] Implicit Places using invariants in 50 ms returned [14, 21]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 53 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/24 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 55 ms. Remains : 21/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 418 ms :[(OR (NOT p0) (NOT p1)), (OR (NOT p0) (NOT p1)), (OR (NOT p0) (NOT p1)), (OR (NOT p0) (NOT p1)), true, (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-02 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=true, acceptance={} source=1 dest: 2}], [{ cond=true, acceptance={} source=2 dest: 3}], [{ cond=p0, acceptance={} source=3 dest: 3}, { cond=(NOT p0), acceptance={} source=3 dest: 4}, { cond=(AND p0 (NOT p1)), acceptance={} source=3 dest: 5}], [{ cond=true, acceptance={0} source=4 dest: 4}], [{ cond=p1, acceptance={} source=5 dest: 5}, { cond=(NOT p1), acceptance={0} source=5 dest: 5}]], initial=0, aps=[p0:(LEQ 2 s17), p1:(LEQ s9 s14)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, complete, no-univ-branch, stutter-sensitive], stateDesc=[null, null, null, null, null, null][false, false, false, false, false, false]]
Entered a terminal (fully accepting) state of product in 3 steps with 0 reset in 2 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-02 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-02 finished in 557 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((X(p0)||(p1 U G(p2))))))'
Support contains 5 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 22 transition count 18
Applied a total of 2 rules in 1 ms. Remains 22 /24 variables (removed 2) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-10 04:05:16] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:16] [INFO ] Implicit Places using invariants in 41 ms returned []
[2023-03-10 04:05:16] [INFO ] Invariant cache hit.
[2023-03-10 04:05:16] [INFO ] Implicit Places using invariants and state equation in 60 ms returned []
Implicit Place search using SMT with State Equation took 102 ms to find 0 implicit places.
[2023-03-10 04:05:16] [INFO ] Invariant cache hit.
[2023-03-10 04:05:16] [INFO ] Dead Transitions using invariants and state equation in 75 ms found 0 transitions.
Starting structural reductions in LTL mode, iteration 1 : 22/24 places, 18/18 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 180 ms. Remains : 22/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 337 ms :[(AND (NOT p0) (NOT p2)), (AND (NOT p0) (NOT p2)), (NOT p0), (AND (NOT p0) (NOT p2)), (AND (NOT p2) (NOT p0)), true, (NOT p2), (NOT p2)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-04 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=true, acceptance={} source=1 dest: 1}, { cond=(AND (NOT p2) (NOT p1)), acceptance={} source=1 dest: 2}, { cond=p1, acceptance={} source=1 dest: 3}, { cond=(AND p2 (NOT p1)), acceptance={} source=1 dest: 4}], [{ cond=(NOT p0), acceptance={} source=2 dest: 5}], [{ cond=(AND (NOT p2) (NOT p1) (NOT p0)), acceptance={} source=3 dest: 5}, { cond=(AND p2 (NOT p1) (NOT p0)), acceptance={} source=3 dest: 6}, { cond=(AND p1 (NOT p0)), acceptance={} source=3 dest: 7}], [{ cond=(AND (NOT p2) (NOT p0)), acceptance={} source=4 dest: 5}, { cond=(AND p2 (NOT p0)), acceptance={} source=4 dest: 6}], [{ cond=true, acceptance={0} source=5 dest: 5}], [{ cond=(NOT p2), acceptance={} source=6 dest: 5}, { cond=p2, acceptance={} source=6 dest: 6}], [{ cond=(AND (NOT p2) (NOT p1)), acceptance={} source=7 dest: 5}, { cond=(AND p2 (NOT p1)), acceptance={} source=7 dest: 6}, { cond=(AND p2 p1), acceptance={} source=7 dest: 7}, { cond=(AND (NOT p2) p1), acceptance={0} source=7 dest: 7}]], initial=0, aps=[p2:(AND (LEQ 2 s20) (LEQ s9 s14)), p1:(LEQ s1 s6), p0:(OR (LEQ s9 s6) (LEQ 2 s20))], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive], stateDesc=[null, null, null, null, null, null, null, null][false, false, false, false, false, false, false, false]]
Product exploration explored 100000 steps with 24984 reset in 354 ms.
Product exploration explored 100000 steps with 24980 reset in 241 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 p2) p1 p0), (X (NOT (AND p2 (NOT p1)))), (X (NOT (AND (NOT p2) (NOT p1)))), (X p1), true, (X (X (NOT (AND p2 (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p1) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1) (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1))))), (X (X (NOT (AND (NOT p2) (NOT p1))))), (X (X (NOT (AND p1 (NOT p0))))), (X (X p0)), (X (X p1))]
False Knowledge obtained : []
Knowledge based reduction with 14 factoid took 825 ms. Reduced automaton from 8 states, 18 edges and 3 AP (stutter sensitive) to 8 states, 18 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 317 ms :[(AND (NOT p0) (NOT p2)), (AND (NOT p0) (NOT p2)), (NOT p0), (AND (NOT p0) (NOT p2)), (AND (NOT p2) (NOT p0)), true, (NOT p2), (NOT p2)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 5 ms. (steps per millisecond=2401 ) properties (out of 12) seen :3
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 96 ms. (steps per millisecond=104 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 45 ms. (steps per millisecond=222 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 47 ms. (steps per millisecond=212 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 80 ms. (steps per millisecond=125 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 77 ms. (steps per millisecond=129 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 63 ms. (steps per millisecond=158 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 74 ms. (steps per millisecond=135 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 71 ms. (steps per millisecond=140 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 50 ms. (steps per millisecond=200 ) properties (out of 9) seen :0
Running SMT prover for 9 properties.
[2023-03-10 04:05:19] [INFO ] Invariant cache hit.
[2023-03-10 04:05:19] [INFO ] After 81ms SMT Verify possible using all constraints in real domain returned unsat :2 sat :0 real:7
[2023-03-10 04:05:19] [INFO ] [Nat]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-10 04:05:19] [INFO ] After 34ms SMT Verify possible using state equation in natural domain returned unsat :2 sat :7
[2023-03-10 04:05:19] [INFO ] After 73ms SMT Verify possible using trap constraints in natural domain returned unsat :2 sat :7
Attempting to minimize the solution found.
Minimization took 30 ms.
[2023-03-10 04:05:19] [INFO ] After 153ms SMT Verify possible using all constraints in natural domain returned unsat :2 sat :7
Fused 9 Parikh solutions to 7 different solutions.
Finished Parikh walk after 34205 steps, including 2 resets, run visited all 7 properties in 505 ms. (steps per millisecond=67 )
Parikh walk visited 7 properties in 504 ms.
Found 2 invariant AP formulas.
Knowledge obtained : [(AND (NOT p2) p1 p0), (X (NOT (AND p2 (NOT p1)))), (X (NOT (AND (NOT p2) (NOT p1)))), (X p1), true, (X (X (NOT (AND p2 (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p1) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1) (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1))))), (X (X (NOT (AND (NOT p2) (NOT p1))))), (X (X (NOT (AND p1 (NOT p0))))), (X (X p0)), (X (X p1)), (G (NOT (AND p2 (NOT p0)))), (G (NOT (AND p2 (NOT p0) (NOT p1))))]
False Knowledge obtained : [(F (AND (NOT p2) (NOT p0))), (F p2), (F (AND (NOT p2) (NOT p0) (NOT p1))), (F (NOT p0)), (F (AND (NOT p0) p1)), (F (AND (NOT p2) (NOT p1))), (F (AND p2 (NOT p1))), (F (NOT p1)), (F (NOT (AND (NOT p2) p1))), (F (AND p2 p1))]
Knowledge based reduction with 16 factoid took 1109 ms. Reduced automaton from 8 states, 18 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 290 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 270 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Support contains 5 out of 22 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 22/22 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 22 /22 variables (removed 0) and now considering 18/18 (removed 0) transitions.
[2023-03-10 04:05:21] [INFO ] Invariant cache hit.
[2023-03-10 04:05:21] [INFO ] Implicit Places using invariants in 39 ms returned []
[2023-03-10 04:05:21] [INFO ] Invariant cache hit.
[2023-03-10 04:05:21] [INFO ] Implicit Places using invariants and state equation in 50 ms returned []
Implicit Place search using SMT with State Equation took 92 ms to find 0 implicit places.
[2023-03-10 04:05:21] [INFO ] Invariant cache hit.
[2023-03-10 04:05:21] [INFO ] Dead Transitions using invariants and state equation in 42 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 138 ms. Remains : 22/22 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 p1 p0 (NOT p2)), (X p1), true, (X (X p1)), (X (X (NOT (AND (NOT p0) p1)))), (X (X p0)), (X (X (NOT (AND (NOT p0) (NOT p1)))))]
False Knowledge obtained : []
Knowledge based reduction with 7 factoid took 370 ms. Reduced automaton from 7 states, 14 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 290 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 4 ms. (steps per millisecond=3001 ) properties (out of 9) seen :3
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 36 ms. (steps per millisecond=277 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 71 ms. (steps per millisecond=140 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 81 ms. (steps per millisecond=123 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 75 ms. (steps per millisecond=133 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 63 ms. (steps per millisecond=158 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 32 ms. (steps per millisecond=312 ) properties (out of 6) seen :0
Running SMT prover for 6 properties.
[2023-03-10 04:05:22] [INFO ] Invariant cache hit.
[2023-03-10 04:05:22] [INFO ] After 46ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:6
[2023-03-10 04:05:22] [INFO ] [Nat]Absence check using 5 positive place invariants in 3 ms returned sat
[2023-03-10 04:05:22] [INFO ] After 42ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :6
[2023-03-10 04:05:22] [INFO ] After 111ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :6
Attempting to minimize the solution found.
Minimization took 24 ms.
[2023-03-10 04:05:22] [INFO ] After 189ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :6
Finished Parikh walk after 55 steps, including 0 resets, run visited all 2 properties in 1 ms. (steps per millisecond=55 )
Parikh walk visited 6 properties in 794 ms.
Knowledge obtained : [(AND p1 p0 (NOT p2)), (X p1), true, (X (X p1)), (X (X (NOT (AND (NOT p0) p1)))), (X (X p0)), (X (X (NOT (AND (NOT p0) (NOT p1)))))]
False Knowledge obtained : [(F p2), (F (AND (NOT p0) p1)), (F (AND p2 (NOT p1))), (F (AND (NOT p2) (NOT p1))), (F (NOT p1)), (F (AND (NOT p0) (NOT p1))), (F (NOT p0)), (F (NOT (AND (NOT p2) p1))), (F (AND p2 p1))]
Knowledge based reduction with 7 factoid took 573 ms. Reduced automaton from 7 states, 14 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 253 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 314 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 260 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Product exploration explored 100000 steps with 25089 reset in 103 ms.
Product exploration explored 100000 steps with 25086 reset in 242 ms.
Applying partial POR strategy [false, false, true, true, true, true, true]
Stuttering acceptance computed with spot in 259 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Support contains 5 out of 22 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 22/22 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 22 transition count 18
Performed 1 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 1 with 1 Pre rules applied. Total rules applied 4 place count 22 transition count 18
Deduced a syphon composed of 5 places in 0 ms
Iterating global reduction 1 with 1 rules applied. Total rules applied 5 place count 22 transition count 18
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 0
Deduced a syphon composed of 7 places in 0 ms
Iterating global reduction 1 with 2 rules applied. Total rules applied 7 place count 22 transition count 18
Discarding 1 places :
Symmetric choice reduction at 1 with 1 rule applications. Total rules 8 place count 21 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 21 transition count 17
Deduced a syphon composed of 6 places in 0 ms
Applied a total of 9 rules in 16 ms. Remains 21 /22 variables (removed 1) and now considering 17/18 (removed 1) transitions.
[2023-03-10 04:05:26] [INFO ] Redundant transitions in 0 ms returned []
// Phase 1: matrix 17 rows 21 cols
[2023-03-10 04:05:26] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:26] [INFO ] Dead Transitions using invariants and state equation in 37 ms found 0 transitions.
Starting structural reductions in SI_LTL mode, iteration 1 : 21/22 places, 17/18 transitions.
Finished structural reductions in SI_LTL mode , in 1 iterations and 66 ms. Remains : 21/22 places, 17/18 transitions.
Support contains 5 out of 22 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 22/22 places, 18/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 22 /22 variables (removed 0) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-10 04:05:26] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 38 ms returned []
[2023-03-10 04:05:26] [INFO ] Invariant cache hit.
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants and state equation in 44 ms returned []
Implicit Place search using SMT with State Equation took 89 ms to find 0 implicit places.
[2023-03-10 04:05:26] [INFO ] Invariant cache hit.
[2023-03-10 04:05:26] [INFO ] Dead Transitions using invariants and state equation in 34 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 125 ms. Remains : 22/22 places, 18/18 transitions.
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-04 finished in 10049 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&&G(!p1))))'
Support contains 2 out of 24 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 1 places :
Implicit places reduction removed 1 places
Drop transitions removed 4 transitions
Trivial Post-agglo rules discarded 4 transitions
Performed 4 trivial Post agglomeration. Transition count delta: 4
Iterating post reduction 0 with 5 rules applied. Total rules applied 5 place count 23 transition count 14
Reduce places removed 4 places and 0 transitions.
Discarding 1 places :
Implicit places reduction removed 1 places
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Iterating post reduction 1 with 7 rules applied. Total rules applied 12 place count 18 transition count 12
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 2 with 2 rules applied. Total rules applied 14 place count 16 transition count 12
Performed 2 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 3 with 2 Pre rules applied. Total rules applied 14 place count 16 transition count 10
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 18 place count 14 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 24 place count 11 transition count 7
Applied a total of 24 rules in 10 ms. Remains 11 /24 variables (removed 13) and now considering 7/18 (removed 11) transitions.
// Phase 1: matrix 7 rows 11 cols
[2023-03-10 04:05:26] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 28 ms returned [7, 10]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 29 ms to find 2 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 9/24 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
[2023-03-10 04:05:26] [INFO ] Computed 3 place invariants in 0 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 23 ms returned []
[2023-03-10 04:05:26] [INFO ] Invariant cache hit.
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants and state equation in 33 ms returned []
Implicit Place search using SMT with State Equation took 59 ms to find 0 implicit places.
Starting structural reductions in SI_LTL mode, iteration 2 : 8/24 places, 6/18 transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 104 ms. Remains : 8/24 places, 6/18 transitions.
Stuttering acceptance computed with spot in 76 ms :[(OR (NOT p0) p1), p1]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-05 automaton TGBA Formula[mat=[[{ cond=(OR (NOT p0) p1), acceptance={0} source=0 dest: 0}, { cond=(AND p0 (NOT p1)), acceptance={} source=0 dest: 1}], [{ cond=p1, acceptance={0} source=1 dest: 0}, { cond=(NOT p1), acceptance={} source=1 dest: 1}]], initial=0, aps=[p0:(LEQ s7 s2), p1:(LEQ 2 s7)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, complete, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-invariant], stateDesc=[null, null][true, true]]
Product exploration explored 100000 steps with 0 reset in 128 ms.
Stack based approach found an accepted trace after 114 steps with 0 reset with depth 115 and stack size 115 in 1 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-05 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-05 finished in 328 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(F((p0 U (p1||G(p0))))))'
Support contains 3 out of 24 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Drop transitions removed 4 transitions
Trivial Post-agglo rules discarded 4 transitions
Performed 4 trivial Post agglomeration. Transition count delta: 4
Iterating post reduction 0 with 6 rules applied. Total rules applied 6 place count 22 transition count 14
Reduce places removed 4 places and 0 transitions.
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Iterating post reduction 1 with 6 rules applied. Total rules applied 12 place count 18 transition count 12
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 2 with 2 rules applied. Total rules applied 14 place count 16 transition count 12
Performed 4 Post agglomeration using F-continuation condition.Transition count delta: 4
Deduced a syphon composed of 4 places in 0 ms
Reduce places removed 4 places and 0 transitions.
Iterating global reduction 3 with 8 rules applied. Total rules applied 22 place count 12 transition count 8
Applied a total of 22 rules in 3 ms. Remains 12 /24 variables (removed 12) and now considering 8/18 (removed 10) transitions.
// Phase 1: matrix 8 rows 12 cols
[2023-03-10 04:05:26] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 33 ms returned [8]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 34 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 11/24 places, 8/18 transitions.
Performed 1 Post agglomeration using F-continuation condition.Transition count delta: 1
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 11 transition count 7
Reduce places removed 1 places and 0 transitions.
Iterating post reduction 1 with 1 rules applied. Total rules applied 2 place count 10 transition count 7
Applied a total of 2 rules in 5 ms. Remains 10 /11 variables (removed 1) and now considering 7/8 (removed 1) transitions.
// Phase 1: matrix 7 rows 10 cols
[2023-03-10 04:05:26] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 29 ms returned []
[2023-03-10 04:05:26] [INFO ] Invariant cache hit.
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants and state equation in 26 ms returned []
Implicit Place search using SMT with State Equation took 59 ms to find 0 implicit places.
Starting structural reductions in SI_LTL mode, iteration 2 : 10/24 places, 7/18 transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 101 ms. Remains : 10/24 places, 7/18 transitions.
Stuttering acceptance computed with spot in 80 ms :[(AND (NOT p1) (NOT p0)), (AND (NOT p1) (NOT p0))]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-06 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 0}, { cond=(AND (NOT p1) (NOT p0)), acceptance={} source=0 dest: 1}], [{ cond=(AND (NOT p1) p0), acceptance={} source=1 dest: 1}, { cond=(AND (NOT p1) (NOT p0)), acceptance={0} source=1 dest: 1}]], initial=0, aps=[p1:(AND (GT s5 s8) (GT 2 s4)), p0:(GT 2 s4)], 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 4 reset in 124 ms.
Stack based approach found an accepted trace after 235 steps with 2 reset with depth 106 and stack size 103 in 1 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-06 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-06 finished in 322 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(F((p0&&X(X(p0))))))'
Support contains 1 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 22 transition count 18
Applied a total of 2 rules in 1 ms. Remains 22 /24 variables (removed 2) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-10 04:05:26] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:26] [INFO ] Implicit Places using invariants in 38 ms returned [14, 20]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 40 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 20/24 places, 18/18 transitions.
Applied a total of 0 rules in 1 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 44 ms. Remains : 20/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 182 ms :[(NOT p0), (NOT p0), (NOT p0), (NOT p0), (NOT p0)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-07 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 0}, { cond=(NOT p0), acceptance={} source=0 dest: 1}, { cond=p0, acceptance={} source=0 dest: 2}], [{ cond=(NOT p0), acceptance={0} source=1 dest: 1}, { cond=p0, acceptance={0} source=1 dest: 2}], [{ cond=(NOT p0), acceptance={0} source=2 dest: 3}, { cond=p0, acceptance={0} source=2 dest: 4}], [{ cond=(NOT p0), acceptance={0} source=3 dest: 1}], [{ cond=(NOT p0), acceptance={0} source=4 dest: 3}]], initial=0, aps=[p0:(LEQ 2 s17)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive, weak, inherently-weak], stateDesc=[null, null, null, null, null][false, false, false, false, false]]
Product exploration explored 100000 steps with 421 reset in 137 ms.
Product exploration explored 100000 steps with 432 reset in 246 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 : [(NOT p0), (X (NOT p0)), (X (X (NOT p0)))]
False Knowledge obtained : []
Knowledge based reduction with 3 factoid took 135 ms. Reduced automaton from 5 states, 9 edges and 1 AP (stutter sensitive) to 5 states, 9 edges and 1 AP (stutter sensitive).
Stuttering acceptance computed with spot in 188 ms :[(NOT p0), (NOT p0), (NOT p0), (NOT p0), (NOT p0)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 3 ms. (steps per millisecond=4001 ) properties (out of 1) seen :0
Finished Best-First random walk after 820 steps, including 0 resets, run visited all 1 properties in 1 ms. (steps per millisecond=820 )
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0)))]
False Knowledge obtained : [(F p0)]
Knowledge based reduction with 3 factoid took 158 ms. Reduced automaton from 5 states, 9 edges and 1 AP (stutter sensitive) to 5 states, 9 edges and 1 AP (stutter sensitive).
Stuttering acceptance computed with spot in 198 ms :[(NOT p0), (NOT p0), (NOT p0), (NOT p0), (NOT p0)]
Stuttering acceptance computed with spot in 186 ms :[(NOT p0), (NOT p0), (NOT p0), (NOT p0), (NOT p0)]
// Phase 1: matrix 18 rows 20 cols
[2023-03-10 04:05:28] [INFO ] Computed 3 place invariants in 0 ms
Proved EG (NOT p0)
Knowledge obtained : [(NOT p0), (X (NOT p0)), (X (X (NOT p0)))]
False Knowledge obtained : [(F p0), (G (NOT p0))]
Property proved to be false thanks to negative knowledge :(G (NOT p0))
Knowledge based reduction with 3 factoid took 84 ms. Reduced automaton from 5 states, 9 edges and 1 AP (stutter sensitive) to 1 states, 1 edges and 0 AP (stutter insensitive).
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-07 FALSE TECHNIQUES KNOWLEDGE
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-07 finished in 1644 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(X((F(p0)||(p1&&G(p2))))))'
Support contains 5 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 1 places :
Implicit places reduction removed 1 places
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 23 transition count 18
Applied a total of 1 rules in 2 ms. Remains 23 /24 variables (removed 1) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 23 cols
[2023-03-10 04:05:28] [INFO ] Computed 6 place invariants in 0 ms
[2023-03-10 04:05:28] [INFO ] Implicit Places using invariants in 33 ms returned [14, 21]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 34 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/24 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 37 ms. Remains : 21/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 194 ms :[(NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (AND (NOT p0) (NOT p2)), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2)))]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-11 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={0} source=0 dest: 0}], [{ cond=(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), acceptance={} source=1 dest: 0}, { cond=(AND (NOT p0) p1 p2), acceptance={} source=1 dest: 2}], [{ cond=(AND (NOT p0) (NOT p2)), acceptance={} source=2 dest: 0}, { cond=(AND (NOT p0) p2), acceptance={} source=2 dest: 2}], [{ cond=true, acceptance={} source=3 dest: 4}], [{ cond=true, acceptance={} source=4 dest: 1}]], initial=3, aps=[p0:(LEQ 2 s2), p1:(GT s11 s17), p2:(GT s10 s5)], 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][false, false, false, false, false]]
Product exploration explored 100000 steps with 682 reset in 113 ms.
Product exploration explored 100000 steps with 667 reset in 136 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 p1) (NOT p2)), (X (X (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))))), (X (X (NOT (AND (NOT p0) p1 p2))))]
False Knowledge obtained : []
Knowledge based reduction with 3 factoid took 137 ms. Reduced automaton from 5 states, 7 edges and 3 AP (stutter sensitive) to 4 states, 4 edges and 1 AP (stutter sensitive).
Stuttering acceptance computed with spot in 143 ms :[(NOT p0), (NOT p0), (NOT p0), (NOT p0)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 3 ms. (steps per millisecond=4001 ) properties (out of 1) seen :0
Finished Best-First random walk after 478 steps, including 0 resets, run visited all 1 properties in 2 ms. (steps per millisecond=239 )
Knowledge obtained : [(AND (NOT p0) (NOT p1) (NOT p2)), (X (X (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))))), (X (X (NOT (AND (NOT p0) p1 p2))))]
False Knowledge obtained : [(F p0)]
Knowledge based reduction with 3 factoid took 155 ms. Reduced automaton from 4 states, 4 edges and 1 AP (stutter sensitive) to 3 states, 3 edges and 1 AP (stutter sensitive).
Stuttering acceptance computed with spot in 108 ms :[(NOT p0), (NOT p0), (NOT p0)]
Stuttering acceptance computed with spot in 106 ms :[(NOT p0), (NOT p0), (NOT p0)]
// Phase 1: matrix 18 rows 21 cols
[2023-03-10 04:05:29] [INFO ] Computed 4 place invariants in 1 ms
Proved EG (NOT p0)
Knowledge obtained : [(AND (NOT p0) (NOT p1) (NOT p2)), (X (X (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))))), (X (X (NOT (AND (NOT p0) p1 p2))))]
False Knowledge obtained : [(F p0), (G (NOT p0))]
Property proved to be false thanks to negative knowledge :(G (NOT p0))
Knowledge based reduction with 3 factoid took 189 ms. Reduced automaton from 3 states, 3 edges and 1 AP (stutter sensitive) to 1 states, 1 edges and 0 AP (stutter insensitive).
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-11 FALSE TECHNIQUES KNOWLEDGE
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-11 finished in 1404 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))'
Support contains 2 out of 24 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 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 8 rules applied. Total rules applied 8 place count 22 transition count 12
Reduce places removed 6 places and 0 transitions.
Iterating post reduction 1 with 6 rules applied. Total rules applied 14 place count 16 transition count 12
Performed 4 Post agglomeration using F-continuation condition.Transition count delta: 4
Deduced a syphon composed of 4 places in 0 ms
Reduce places removed 4 places and 0 transitions.
Iterating global reduction 2 with 8 rules applied. Total rules applied 22 place count 12 transition count 8
Applied a total of 22 rules in 2 ms. Remains 12 /24 variables (removed 12) and now considering 8/18 (removed 10) transitions.
// Phase 1: matrix 8 rows 12 cols
[2023-03-10 04:05:29] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:29] [INFO ] Implicit Places using invariants in 28 ms returned [7]
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 : 11/24 places, 8/18 transitions.
Drop transitions removed 2 transitions
Trivial Post-agglo rules discarded 2 transitions
Performed 2 trivial Post agglomeration. Transition count delta: 2
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 11 transition count 6
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 1 with 2 rules applied. Total rules applied 4 place count 9 transition count 6
Applied a total of 4 rules in 2 ms. Remains 9 /11 variables (removed 2) and now considering 6/8 (removed 2) transitions.
// Phase 1: matrix 6 rows 9 cols
[2023-03-10 04:05:29] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-10 04:05:29] [INFO ] Implicit Places using invariants in 32 ms returned []
[2023-03-10 04:05:29] [INFO ] Invariant cache hit.
[2023-03-10 04:05:30] [INFO ] Implicit Places using invariants and state equation in 27 ms returned []
Implicit Place search using SMT with State Equation took 61 ms to find 0 implicit places.
Starting structural reductions in SI_LTL mode, iteration 2 : 9/24 places, 6/18 transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 96 ms. Remains : 9/24 places, 6/18 transitions.
Stuttering acceptance computed with spot in 36 ms :[(NOT p0)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-12 automaton TGBA Formula[mat=[[{ cond=(NOT p0), acceptance={0} source=0 dest: 0}]], initial=0, aps=[p0:(GT s6 s7)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, colored, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-invariant, very-weak, weak, inherently-weak], stateDesc=[null][true]]
Product exploration explored 100000 steps with 22 reset in 83 ms.
Stack based approach found an accepted trace after 89 steps with 0 reset with depth 90 and stack size 90 in 0 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-12 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-12 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' '!(X((G(p0) U G(p1))))'
Support contains 3 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 1 places :
Implicit places reduction removed 1 places
Iterating post reduction 0 with 1 rules applied. Total rules applied 1 place count 23 transition count 18
Applied a total of 1 rules in 1 ms. Remains 23 /24 variables (removed 1) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 23 cols
[2023-03-10 04:05:30] [INFO ] Computed 6 place invariants in 1 ms
[2023-03-10 04:05:30] [INFO ] Implicit Places using invariants in 38 ms returned [14, 21]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 40 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 21/24 places, 18/18 transitions.
Applied a total of 0 rules in 0 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 43 ms. Remains : 21/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 160 ms :[(NOT p1), (NOT p1), true, (AND p1 (NOT p0)), (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-13 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=(AND p1 p0), acceptance={} source=1 dest: 1}, { cond=(AND (NOT p1) p0), acceptance={0} source=1 dest: 1}, { cond=(AND (NOT p1) (NOT p0)), acceptance={} source=1 dest: 2}, { cond=(AND (NOT p1) p0), acceptance={} source=1 dest: 3}, { cond=(AND p1 (NOT p0)), acceptance={} source=1 dest: 4}], [{ cond=true, acceptance={0} source=2 dest: 2}], [{ cond=(AND p1 (NOT p0)), acceptance={} source=3 dest: 2}, { cond=(AND p1 p0), acceptance={} source=3 dest: 3}], [{ cond=(NOT p1), acceptance={} source=4 dest: 2}, { cond=p1, acceptance={} source=4 dest: 4}]], initial=0, aps=[p1:(AND (NOT (AND (LEQ 2 s7) (LEQ 3 s2))) (LEQ 2 s18)), p0:(GT 2 s18)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive], stateDesc=[null, null, null, null, null][false, false, false, false, false]]
Product exploration explored 100000 steps with 25044 reset in 125 ms.
Product exploration explored 100000 steps with 24876 reset in 146 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 p1) p0), (X (NOT (AND p1 p0))), (X (NOT (AND (NOT p1) (NOT p0)))), (X (NOT (AND p1 (NOT p0)))), (X (AND (NOT p1) p0)), (X (X (NOT (AND p1 p0)))), true, (X (X (NOT (AND (NOT p1) (NOT p0))))), (X (X (NOT p1))), (X (X (NOT (AND p1 (NOT p0))))), (X (X (AND (NOT p1) p0)))]
False Knowledge obtained : []
Knowledge sufficient to adopt a stutter insensitive property.
Knowledge based reduction with 11 factoid took 499 ms. Reduced automaton from 5 states, 11 edges and 2 AP (stutter sensitive) to 5 states, 12 edges and 2 AP (stutter sensitive).
Stuttering acceptance computed with spot in 161 ms :[(OR (NOT p1) (NOT p0)), (NOT p1), true, (AND (NOT p0) p1), (NOT p1)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 7 ms. (steps per millisecond=1715 ) properties (out of 5) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 17 ms. (steps per millisecond=588 ) properties (out of 5) seen :3
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 38 ms. (steps per millisecond=263 ) properties (out of 2) seen :0
Running SMT prover for 2 properties.
// Phase 1: matrix 18 rows 21 cols
[2023-03-10 04:05:31] [INFO ] Computed 4 place invariants in 0 ms
[2023-03-10 04:05:31] [INFO ] [Real]Absence check using 4 positive place invariants in 2 ms returned sat
[2023-03-10 04:05:31] [INFO ] After 42ms SMT Verify possible using all constraints in real domain returned unsat :1 sat :0 real:1
[2023-03-10 04:05:31] [INFO ] [Nat]Absence check using 4 positive place invariants in 2 ms returned sat
[2023-03-10 04:05:31] [INFO ] After 13ms SMT Verify possible using state equation in natural domain returned unsat :1 sat :1
[2023-03-10 04:05:31] [INFO ] After 19ms SMT Verify possible using trap constraints in natural domain returned unsat :1 sat :1
Attempting to minimize the solution found.
Minimization took 10 ms.
[2023-03-10 04:05:31] [INFO ] After 59ms SMT Verify possible using all constraints in natural domain returned unsat :1 sat :1
Fused 2 Parikh solutions to 1 different solutions.
Finished Parikh walk after 65 steps, including 0 resets, run visited all 1 properties in 1 ms. (steps per millisecond=65 )
Parikh walk visited 1 properties in 0 ms.
Found 1 invariant AP formulas.
Knowledge obtained : [(AND (NOT p1) p0), (X (NOT (AND p1 p0))), (X (NOT (AND (NOT p1) (NOT p0)))), (X (NOT (AND p1 (NOT p0)))), (X (AND (NOT p1) p0)), (X (X (NOT (AND p1 p0)))), true, (X (X (NOT (AND (NOT p1) (NOT p0))))), (X (X (NOT p1))), (X (X (NOT (AND p1 (NOT p0))))), (X (X (AND (NOT p1) p0))), (G (NOT (AND p0 p1)))]
False Knowledge obtained : [(F p1), (F (AND (NOT p0) p1)), (F (AND (NOT p0) (NOT p1))), (F (NOT (AND p0 (NOT p1))))]
Property proved to be false thanks to negative knowledge :(F p1)
Knowledge based reduction with 12 factoid took 198 ms. Reduced automaton from 5 states, 12 edges and 2 AP (stutter sensitive) to 1 states, 1 edges and 0 AP (stutter insensitive).
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-13 FALSE TECHNIQUES KNOWLEDGE
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-13 finished in 1540 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((F(p0)&&F(G(p1)))))'
Support contains 4 out of 24 places. Attempting structural reductions.
Starting structural reductions in SI_LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Drop transitions removed 2 transitions
Trivial Post-agglo rules discarded 2 transitions
Performed 2 trivial Post agglomeration. Transition count delta: 2
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 22 transition count 16
Reduce places removed 2 places and 0 transitions.
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Iterating post reduction 1 with 4 rules applied. Total rules applied 8 place count 20 transition count 14
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 2 with 2 rules applied. Total rules applied 10 place count 18 transition count 14
Performed 1 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 3 with 1 Pre rules applied. Total rules applied 10 place count 18 transition count 13
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 12 place count 17 transition count 13
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 16 place count 15 transition count 11
Discarding 1 places :
Implicit places reduction removed 1 places
Iterating post reduction 3 with 1 rules applied. Total rules applied 17 place count 14 transition count 11
Performed 1 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 4 with 1 Pre rules applied. Total rules applied 17 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 4 with 2 rules applied. Total rules applied 19 place count 13 transition count 10
Applied a total of 19 rules in 4 ms. Remains 13 /24 variables (removed 11) and now considering 10/18 (removed 8) transitions.
// Phase 1: matrix 10 rows 13 cols
[2023-03-10 04:05:31] [INFO ] Computed 4 place invariants in 1 ms
[2023-03-10 04:05:31] [INFO ] Implicit Places using invariants in 33 ms returned [12]
Discarding 1 places :
Implicit Place search using SMT only with invariants took 35 ms to find 1 implicit places.
Starting structural reductions in SI_LTL mode, iteration 1 : 12/24 places, 10/18 transitions.
Applied a total of 0 rules in 1 ms. Remains 12 /12 variables (removed 0) and now considering 10/10 (removed 0) transitions.
Finished structural reductions in SI_LTL mode , in 2 iterations and 40 ms. Remains : 12/24 places, 10/18 transitions.
Stuttering acceptance computed with spot in 111 ms :[(OR (NOT p0) (NOT p1)), (NOT p0), (NOT p1)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-14 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=(NOT p0), acceptance={0} source=1 dest: 1}], [{ cond=p1, acceptance={} source=2 dest: 2}, { cond=(NOT p1), acceptance={0} source=2 dest: 2}]], initial=0, aps=[p0:(GT s11 s8), p1:(GT s1 s3)], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-invariant], stateDesc=[null, null, null][true, true, true]]
Product exploration explored 100000 steps with 0 reset in 109 ms.
Stack based approach found an accepted trace after 4863 steps with 0 reset with depth 4864 and stack size 4864 in 7 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-14 FALSE TECHNIQUES STACK_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-14 finished in 283 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(X(G(p0))))'
Support contains 2 out of 24 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Iterating post reduction 0 with 2 rules applied. Total rules applied 2 place count 22 transition count 18
Applied a total of 2 rules in 1 ms. Remains 22 /24 variables (removed 2) and now considering 18/18 (removed 0) transitions.
// Phase 1: matrix 18 rows 22 cols
[2023-03-10 04:05:31] [INFO ] Computed 5 place invariants in 1 ms
[2023-03-10 04:05:32] [INFO ] Implicit Places using invariants in 31 ms returned [14, 20]
Discarding 2 places :
Implicit Place search using SMT only with invariants took 32 ms to find 2 implicit places.
Starting structural reductions in LTL mode, iteration 1 : 20/24 places, 18/18 transitions.
Applied a total of 0 rules in 1 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 35 ms. Remains : 20/24 places, 18/18 transitions.
Stuttering acceptance computed with spot in 121 ms :[true, (NOT p0), (NOT p0), (NOT p0)]
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-15 automaton TGBA Formula[mat=[[{ cond=true, acceptance={0} source=0 dest: 0}], [{ cond=(NOT p0), acceptance={} source=1 dest: 0}, { cond=p0, acceptance={} source=1 dest: 1}], [{ cond=true, acceptance={} source=2 dest: 1}], [{ cond=true, acceptance={} source=3 dest: 2}]], initial=3, aps=[p0:(OR (LEQ 1 s10) (LEQ 2 s15))], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, complete, deterministic, no-univ-branch, unambiguous, semi-deterministic, stutter-sensitive, terminal, very-weak, weak, inherently-weak], stateDesc=[null, null, null, null][false, false, false, false]]
Entered a terminal (fully accepting) state of product in 2 steps with 0 reset in 0 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-15 FALSE TECHNIQUES STUTTER_TEST
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-15 finished in 171 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((X(p0)||(p1 U G(p2))))))'
Found a Lengthening insensitive property : ClientsAndServers-PT-N0500P0-LTLCardinality-04
Stuttering acceptance computed with spot in 293 ms :[(AND (NOT p0) (NOT p2)), (AND (NOT p0) (NOT p2)), (NOT p0), (AND (NOT p0) (NOT p2)), (AND (NOT p2) (NOT p0)), true, (NOT p2), (NOT p2)]
Support contains 5 out of 24 places. Attempting structural reductions.
Starting structural reductions in LI_LTL mode, iteration 0 : 24/24 places, 18/18 transitions.
Discarding 2 places :
Implicit places reduction removed 2 places
Drop transitions removed 2 transitions
Trivial Post-agglo rules discarded 2 transitions
Performed 2 trivial Post agglomeration. Transition count delta: 2
Iterating post reduction 0 with 4 rules applied. Total rules applied 4 place count 22 transition count 16
Reduce places removed 2 places and 0 transitions.
Performed 2 Post agglomeration using F-continuation condition.Transition count delta: 2
Iterating post reduction 1 with 4 rules applied. Total rules applied 8 place count 20 transition count 14
Reduce places removed 2 places and 0 transitions.
Iterating post reduction 2 with 2 rules applied. Total rules applied 10 place count 18 transition count 14
Performed 1 Pre agglomeration using Quasi-Persistent + Divergent Free condition..
Pre-agglomeration after 3 with 1 Pre rules applied. Total rules applied 10 place count 18 transition count 13
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 12 place count 17 transition count 13
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 16 place count 15 transition count 11
Applied a total of 16 rules in 6 ms. Remains 15 /24 variables (removed 9) and now considering 11/18 (removed 7) transitions.
// Phase 1: matrix 11 rows 15 cols
[2023-03-10 04:05:32] [INFO ] Computed 5 place invariants in 0 ms
[2023-03-10 04:05:32] [INFO ] Implicit Places using invariants in 40 ms returned []
[2023-03-10 04:05:32] [INFO ] Invariant cache hit.
[2023-03-10 04:05:32] [INFO ] Implicit Places using invariants and state equation in 52 ms returned []
Implicit Place search using SMT with State Equation took 94 ms to find 0 implicit places.
[2023-03-10 04:05:32] [INFO ] Invariant cache hit.
[2023-03-10 04:05:32] [INFO ] Dead Transitions using invariants and state equation in 26 ms found 0 transitions.
Starting structural reductions in LI_LTL mode, iteration 1 : 15/24 places, 11/18 transitions.
Finished structural reductions in LI_LTL mode , in 1 iterations and 129 ms. Remains : 15/24 places, 11/18 transitions.
Running random walk in product with property : ClientsAndServers-PT-N0500P0-LTLCardinality-04 automaton TGBA Formula[mat=[[{ cond=true, acceptance={} source=0 dest: 1}], [{ cond=true, acceptance={} source=1 dest: 1}, { cond=(AND (NOT p2) (NOT p1)), acceptance={} source=1 dest: 2}, { cond=p1, acceptance={} source=1 dest: 3}, { cond=(AND p2 (NOT p1)), acceptance={} source=1 dest: 4}], [{ cond=(NOT p0), acceptance={} source=2 dest: 5}], [{ cond=(AND (NOT p2) (NOT p1) (NOT p0)), acceptance={} source=3 dest: 5}, { cond=(AND p2 (NOT p1) (NOT p0)), acceptance={} source=3 dest: 6}, { cond=(AND p1 (NOT p0)), acceptance={} source=3 dest: 7}], [{ cond=(AND (NOT p2) (NOT p0)), acceptance={} source=4 dest: 5}, { cond=(AND p2 (NOT p0)), acceptance={} source=4 dest: 6}], [{ cond=true, acceptance={0} source=5 dest: 5}], [{ cond=(NOT p2), acceptance={} source=6 dest: 5}, { cond=p2, acceptance={} source=6 dest: 6}], [{ cond=(AND (NOT p2) (NOT p1)), acceptance={} source=7 dest: 5}, { cond=(AND p2 (NOT p1)), acceptance={} source=7 dest: 6}, { cond=(AND p2 p1), acceptance={} source=7 dest: 7}, { cond=(AND (NOT p2) p1), acceptance={0} source=7 dest: 7}]], initial=0, aps=[p2:(AND (LEQ 2 s13) (LEQ s8 s11)), p1:(LEQ s1 s5), p0:(OR (LEQ s8 s5) (LEQ 2 s13))], nbAcceptance=1, properties=[trans-labels, explicit-labels, trans-acc, no-univ-branch, stutter-sensitive, sl-invariant], stateDesc=[null, null, null, null, null, null, null, null][false, false, false, false, false, false, false, false]]
Product exploration explored 100000 steps with 25059 reset in 174 ms.
Product exploration explored 100000 steps with 25019 reset in 222 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 p2) p1 p0), (X (NOT (AND p2 (NOT p1)))), (X (NOT (AND (NOT p2) (NOT p1)))), (X p1), true, (X (X (NOT (AND p2 (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p1) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1) (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1))))), (X (X (NOT (AND (NOT p2) (NOT p1))))), (X (X (NOT (AND p1 (NOT p0))))), (X (X p0)), (X (X p1))]
False Knowledge obtained : []
Knowledge based reduction with 14 factoid took 760 ms. Reduced automaton from 8 states, 18 edges and 3 AP (stutter sensitive) to 8 states, 18 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 295 ms :[(AND (NOT p0) (NOT p2)), (AND (NOT p0) (NOT p2)), (NOT p0), (AND (NOT p0) (NOT p2)), (AND (NOT p2) (NOT p0)), true, (NOT p2), (NOT p2)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 3 ms. (steps per millisecond=4001 ) properties (out of 12) seen :3
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 78 ms. (steps per millisecond=128 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 68 ms. (steps per millisecond=147 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 71 ms. (steps per millisecond=140 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 116 ms. (steps per millisecond=86 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 115 ms. (steps per millisecond=86 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 76 ms. (steps per millisecond=131 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 74 ms. (steps per millisecond=135 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 74 ms. (steps per millisecond=135 ) properties (out of 9) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 64 ms. (steps per millisecond=156 ) properties (out of 9) seen :0
Running SMT prover for 9 properties.
[2023-03-10 04:05:34] [INFO ] Invariant cache hit.
[2023-03-10 04:05:34] [INFO ] After 31ms SMT Verify possible using all constraints in real domain returned unsat :2 sat :0 real:7
[2023-03-10 04:05:34] [INFO ] [Nat]Absence check using 5 positive place invariants in 2 ms returned sat
[2023-03-10 04:05:35] [INFO ] After 27ms SMT Verify possible using state equation in natural domain returned unsat :2 sat :7
[2023-03-10 04:05:35] [INFO ] After 56ms SMT Verify possible using trap constraints in natural domain returned unsat :2 sat :7
Attempting to minimize the solution found.
Minimization took 23 ms.
[2023-03-10 04:05:35] [INFO ] After 116ms SMT Verify possible using all constraints in natural domain returned unsat :2 sat :7
Fused 9 Parikh solutions to 7 different solutions.
Finished Parikh walk after 24379 steps, including 2 resets, run visited all 4 properties in 232 ms. (steps per millisecond=105 )
Parikh walk visited 7 properties in 1015 ms.
Found 2 invariant AP formulas.
Knowledge obtained : [(AND (NOT p2) p1 p0), (X (NOT (AND p2 (NOT p1)))), (X (NOT (AND (NOT p2) (NOT p1)))), (X p1), true, (X (X (NOT (AND p2 (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p1) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1) (NOT p0))))), (X (X (NOT (AND (NOT p2) (NOT p0))))), (X (X (NOT (AND p2 (NOT p1))))), (X (X (NOT (AND (NOT p2) (NOT p1))))), (X (X (NOT (AND p1 (NOT p0))))), (X (X p0)), (X (X p1)), (G (NOT (AND p2 (NOT p0)))), (G (NOT (AND p2 (NOT p0) (NOT p1))))]
False Knowledge obtained : [(F (AND (NOT p2) (NOT p0))), (F p2), (F (AND (NOT p2) (NOT p0) (NOT p1))), (F (NOT p0)), (F (AND (NOT p0) p1)), (F (AND (NOT p2) (NOT p1))), (F (AND p2 (NOT p1))), (F (NOT p1)), (F (NOT (AND (NOT p2) p1))), (F (AND p2 p1))]
Knowledge based reduction with 16 factoid took 1058 ms. Reduced automaton from 8 states, 18 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 239 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 242 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Support contains 5 out of 15 places. Attempting structural reductions.
Starting structural reductions in LTL mode, iteration 0 : 15/15 places, 11/11 transitions.
Applied a total of 0 rules in 0 ms. Remains 15 /15 variables (removed 0) and now considering 11/11 (removed 0) transitions.
[2023-03-10 04:05:37] [INFO ] Invariant cache hit.
[2023-03-10 04:05:37] [INFO ] Implicit Places using invariants in 26 ms returned []
[2023-03-10 04:05:37] [INFO ] Invariant cache hit.
[2023-03-10 04:05:37] [INFO ] Implicit Places using invariants and state equation in 30 ms returned []
Implicit Place search using SMT with State Equation took 58 ms to find 0 implicit places.
[2023-03-10 04:05:37] [INFO ] Invariant cache hit.
[2023-03-10 04:05:37] [INFO ] Dead Transitions using invariants and state equation in 29 ms found 0 transitions.
Finished structural reductions in LTL mode , in 1 iterations and 89 ms. Remains : 15/15 places, 11/11 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 p1 p0 (NOT p2)), (X p1), true, (X (X p1)), (X (X (NOT (AND (NOT p0) p1)))), (X (X p0)), (X (X (NOT (AND (NOT p0) (NOT p1)))))]
False Knowledge obtained : []
Knowledge based reduction with 7 factoid took 345 ms. Reduced automaton from 7 states, 14 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 257 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Incomplete random walk after 12005 steps, including 2 resets, run finished after 4 ms. (steps per millisecond=3001 ) properties (out of 9) seen :3
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 54 ms. (steps per millisecond=185 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 61 ms. (steps per millisecond=163 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 63 ms. (steps per millisecond=158 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 52 ms. (steps per millisecond=192 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10000 steps, including 2 resets, run finished after 55 ms. (steps per millisecond=181 ) properties (out of 6) seen :0
Incomplete Best-First random walk after 10001 steps, including 2 resets, run finished after 33 ms. (steps per millisecond=303 ) properties (out of 6) seen :0
Running SMT prover for 6 properties.
[2023-03-10 04:05:38] [INFO ] Invariant cache hit.
[2023-03-10 04:05:38] [INFO ] After 26ms SMT Verify possible using all constraints in real domain returned unsat :0 sat :0 real:6
[2023-03-10 04:05:38] [INFO ] [Nat]Absence check using 5 positive place invariants in 1 ms returned sat
[2023-03-10 04:05:38] [INFO ] After 26ms SMT Verify possible using state equation in natural domain returned unsat :0 sat :6
[2023-03-10 04:05:38] [INFO ] After 53ms SMT Verify possible using trap constraints in natural domain returned unsat :0 sat :6
Attempting to minimize the solution found.
Minimization took 21 ms.
[2023-03-10 04:05:38] [INFO ] After 124ms SMT Verify possible using all constraints in natural domain returned unsat :0 sat :6
Finished Parikh walk after 9762 steps, including 0 resets, run visited all 2 properties in 91 ms. (steps per millisecond=107 )
Parikh walk visited 6 properties in 466 ms.
Knowledge obtained : [(AND p1 p0 (NOT p2)), (X p1), true, (X (X p1)), (X (X (NOT (AND (NOT p0) p1)))), (X (X p0)), (X (X (NOT (AND (NOT p0) (NOT p1)))))]
False Knowledge obtained : [(F p2), (F (AND (NOT p0) p1)), (F (AND p2 (NOT p1))), (F (AND (NOT p2) (NOT p1))), (F (NOT p1)), (F (AND (NOT p0) (NOT p1))), (F (NOT p0)), (F (NOT (AND (NOT p2) p1))), (F (AND p2 p1))]
Knowledge based reduction with 7 factoid took 742 ms. Reduced automaton from 7 states, 14 edges and 3 AP (stutter sensitive) to 7 states, 14 edges and 3 AP (stutter sensitive).
Stuttering acceptance computed with spot in 239 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 244 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Stuttering acceptance computed with spot in 250 ms :[(OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), (NOT p0), (OR (AND (NOT p0) (NOT p1)) (AND (NOT p0) (NOT p2))), true, (NOT p2), (NOT p2)]
Product exploration explored 100000 steps with 25007 reset in 85 ms.
Entered a terminal (fully accepting) state of product in 79535 steps with 19966 reset in 83 ms.
Treatment of property ClientsAndServers-PT-N0500P0-LTLCardinality-04 finished in 8807 ms.
FORMULA ClientsAndServers-PT-N0500P0-LTLCardinality-04 FALSE TECHNIQUES LENGTHENING_INSENSITIVE
[2023-03-10 04:05:40] [INFO ] Flatten gal took : 4 ms
All properties solved without resorting to exhaustive model-checking.
Total runtime 27688 ms.
ITS solved all properties within timeout
BK_STOP 1678421142073
--------------------
content from stderr:
+ ulimit -s 65536
+ [[ -z '' ]]
+ export LTSMIN_MEM_SIZE=8589934592
+ LTSMIN_MEM_SIZE=8589934592
+ export PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ PYTHONPATH=/home/mcc/BenchKit/itstools/pylibs
+ export LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
+ LD_LIBRARY_PATH=/home/mcc/BenchKit/itstools/pylibs:
++ sed s/.jar//
++ perl -pe 's/.*\.//g'
++ ls /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/plugins/fr.lip6.move.gal.application.pnmcc_1.0.0.202303021504.jar
+ VERSION=202303021504
+ echo 'Running Version 202303021504'
+ /home/mcc/BenchKit/bin//../reducer/bin//../../itstools//itstools/its-tools -pnfolder /home/mcc/execution -examination LTLCardinality -timeout 360 -rebuildPNML
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-N0500P0"
export BK_EXAMINATION="LTLCardinality"
export BK_TOOL="ltsminxred"
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 ltsminxred"
echo " Input is ClientsAndServers-PT-N0500P0, 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 r073-smll-167814399400331"
echo "====================================================================="
echo
echo "--------------------"
echo "preparation of the directory to be used:"
tar xzf /home/mcc/BenchKit/INPUTS/ClientsAndServers-PT-N0500P0.tgz
mv ClientsAndServers-PT-N0500P0 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 ;